= = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = COMP-U-STAT = = = = = = = = STATISTICAL PATTERN GENERATOR AND MATHEMATICAL TREND ANALYZER = = = = = = = = (c) Copyright 2024 by J.E. Glover, Ph.D. = = = = All Rights Reserved = = = = = = = = = = = = Part VII(b) ( STAT 3841 ----> STAT 3999 ) = = = = = = = = = = = = The COMP-U-STAT System consists of a cluster of more than 4064 = = = = modular programs, providing the analyst with a clear and distinct = = = = scientific and mathematical edge in generating novel and useful = = = = statistical patterns for analyzing trends from random variables. = = = = The following is a glossary describing the functions of all = = = = routines in the sequence. There are many statistical applications = = = = of the COMP-U-STAT cluster. Please see available DEMO Diskettes, = = = = provided upon request, for numerous examples of output files. = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = ========================================================================= * * * GLOSSARY OF COMP-U-STAT PROGRAMS 3841 ---> 3999 * * * ========================================================================= -- L 3841 -- ( GENERATING A Q0-ELEMENT PERMUTATION OF UNIQUE ELEMENTS FROM EACH PERMUTATION OF A FIXED SEQUENCE Q0-ELEMENT PERMUTATIONS. THE Q0 ELEMENTS ARE RECORDED LEXICOGRAPHICALLY IN DESCENDING ORDER OF ELEMENT WEIGHTS, FOR EACH GENERATED PERMUTATION ) STAT3841 READS A SEQUENCE OF Q0-ELEMENT PERMUTATIONS FROM PERM.INP AND A SEQUENCE OF L0 WEIGHTS OF ELEMENTS FROM WT(L).INP, GENERATED VIA STAT3246, STAT3826, STAT3831, ET AL. FOR EACH INPUT PERMUTATION STAT3841 THEN RECORDS A Q0-ELEMENT PERMUTATION OF UNIQUE ELEMENTS INTO PERM.OUT, WITH ELEMENTS LEXICOGRAPHICALLY ARRANGED IN DESCENDING ORDER OF WEIGHT, FOR EACH INPUT PERMUTATION. STAT3841 ALSO RECORDS IN STAT94.INP THE K0 TOP RANKING ELEMENTS FROM EACH INPUT PERMUTATION. CF. STAT12 FOR THE GENERATION OF PERM.INP. CF. ALSO STAT3477, A VARIANT OF STAT3841. ========================================================================= -- L 3842 -- ( DETERMINING A SEQUENCE OF ELEMENTS FROM < 1 , 2 , ... , L0 > WHICH OCCUR IN EVERY PERMUTATION WITHIN A BLOCK OF Q0-ELEMENT PERMUTATIONS) STAT3842 READS A SEQUENCE OF L0-ELEMENT PERMUTATIONS FROM PERM.INP AND DETERMINES THE ELEMENTS FROM < 1 , 2 , ... , L0 > WHICH OCCUR IN EVERY PERMUTATION LISTED IN PERM.INP OF DESIRED SUB-DIMENSION, Q0. THIS PROCESS GENERATES A NEW SUB-PERMUTATION OF ELEMENTS AND RECORDS IT IN PERM.OUT, FOR FURTHER ANALYSIS. THE INPUT FILE PERM.INP MAY BE GENERATED AS PERM.OUT, VIA STAT3246. MOREOVER, STAT3841 READS A SEQUENCE OF L0 WEIGHTS OF ELEMENTS FROM WT(L).INP, VIA STAT3246, STAT3826, STAT3831, ET AL. FOR EACH INPUT PERMUTATION STAT3841 THEN RECORDS A Q0-ELEMENT PERMUTATION OF UNIQUE ELEMENTS INTO PERM.OUT, WITH ELEMENTS LEXICOGRAPHICALLY ARRANGED IN DESCENDING ORDER OF WEIGHTS, FOR EACH GENERATED PERMUTATION. STAT3842 ALSO RECORDS IN STAT94.INP THE K0 TOP RANKING ELEMENTS FROM EACH GENERATED PERMUTATION. ========================================================================= -- L 3843 -- MONITOR MATRIX GENERATOR XXXXX FREQUENCY COUNTS FOR ELEMENTS IN A LARGE SEQUENCE OF K0-ELEMENT EVENTS ( HYBRID OF STAT2343 AND STAT3663 ) ( CASE: K0 = 6 ) READS A FIXED Q0-ELEMENT PERMUTATION FROM PERM.INP AND GENERATES A COMPLETE SET OF [ Q0 C K0 ] K0-ELEMENT EVENTS. STAT3843 THEN COMPARES EACH GENERATED K0-ELEMENT EVENT WITH A FINITE BASE SET OF STAR EVENTS, DETERMINES THE NUMBER OF ELEMENTS IN EACH EVENT PER 1-EVENT BLOCK IN VS. THE BASE SET, DETERMINES THE RELATIVE FREQUENCIES AND SUM OF RELATIVE FREQUENCIES OF COMMON ELEMENTS FOR COMPARISON, AND GENERATES A MONITOR MATRIX REFLECTING THE PATTERNS OF MATCHES FROM THE ABOVE SEQUENCE OF BASE SETS. STAT3843 IS A VARIANT STAT1030 AND STAT3149, ANALYZING K0-ELEMENT TEST EVENTS RATHER THAN PERMUTATIONS, WITH EVENTS FILTERED FROM SUB-BLOCKS OF SIZE 1. IF THE EXPECTED FREQUENCY CADENCE = 1/K, THEN STAT3843 TACITLY EXAMINES THE LAST K FREQUENCY COUNTS, INSTEAD OF THE LAST JMAX FREQUENCY COUNTS, WHEN SELECTING [*]-QUALIFYING EVENTS TO BE FILTERED, WHERE K IS A DETERMINED FREQUENCY CADENCE FOR 1 / K EVENTS. CF. STAT1031 AND STAT1036 FOR PERMUTATION REPLICAS. STAT3843 READS SUB-BLOCKS OF INPUT TEST EVENTS FROM STAT3843.INP AND UP TO 400 INPUT STAR EVENTS FROM BASE.INP. [*]-QUALIFYING EVENTS ARE FILTERED AND RECORDED IN STAT94.INP, RANKED IN DESCENDING OR ASCENDING ORDER OF INDEX DISPLACEMENT, IDELTA = # Trailing Zeros. STAT3843 IS THE TEST EVENT VERSION OF STAT2349. CF. STAT2349 FOR THE PERMUTATION VERSION. CF. ALSO STAT2514, STAT2604 , STAT2606, AND STAT3149. THE FILE PERM.INP IS TACITYLY GENERATED FOR STAT3573. A CUMULATIVE FILE OF TEST EVENTS IS GENERATED AND RECORDED IN CUMULAT.OUT. CF. STAT3610. CF. STAT3853 FOR THE CASE: K0 = 5. ========================================================================= -- L 3844 -- RE-FORMATTING A FIXED Q0-ELEMENT PERMUTATION AS EITHER A (BMAX X 3)-DIMENSIONAL BLOCK OR A (CMAX x 2 )-DIMENSIONAL BLOCK OF EVENTS CONSISTING OF SUCCESSIVE NON-OVERLAPPING 3-ELEMENT STRINGS OR 2-ELEMENTS STRINGS OF ELEMENTS READS A FIXED Q0-ELEMENT PERMUTATION FROM PERM.INP AND GENERATES EITHER A (BMAX X 3)-DIMENSIONAL BLOCK OR A (CMAX x 2 )-DIMENSIONAL BLOCK OF EVENTS INTO STAT149.INP,CONSISTING OF SUCCESSIVE NON-OVERLAPPING 3-ELEMENT STRINGS OR 2-ELEMENTS STRINGS OF ELEMENTS. THE ELEMENTS IN PERM.INP ARE PRESUMED TO BE ARRANGED AND RANKED IN DESCENDING ORDER OF WEIGHTS, AND MAY BE GENERATED VIA STAT3246 AS PERM.OUT. ========================================================================= -- L 3845 -- ( DETERMINING, FOR AN EVENT E, WITH PROBABILITY OF SUCCESS p AND PROBABILITY OF FAILURE q ON A GIVEN TRIAL, THE CUMULATIVE PROBABILITY THAT THE NEXT SUCCESS OF EVENT E WILL OCCUR ON AT LEAST ONE OF THE NEXT N SUCCESSIVE TRIALS, BASED UPON A GEOMETRIC PROBABILITY DENSITY FUNCTION ) READS AN ( IMAX x K0 )-DIMENSIONAL BLOCK OF STAR EVENTS FROM BASE.INP, AND READS (FROM STAT3845.INP) THE PROBABILITY p OF SUCCESS ANY GIVEN TRIAL AND A DESIRED PROJECTED NUMBER OF TRIALS n TO FOLLOW THE MOST RECENT SUCCESS OF EVENT E, DETERMINING q = 1 - p. STAT3845 THEN DETERMINES THE CUMULATIVE PROBABILITY THAT EVENT E WILL BE SUCCESSFUL ON AT LEAST ONE OF THE NEXT n TRIALS, BASED UPON A GEOMETRIC PROBABILITY DENSITY FUNCTION. ========================================================================= -- L 3846 -- ( DETERMINING, FOR AN EVENT E, WITH PROBABILITY OF SUCCESS p AND PROBABILITY OF FAILURE q ON A GIVEN TRIAL, THE CUMULATIVE PROBABILITY THAT THE NEXT SUCCESS OF EVENT E WILL OCCUR ON AT LEAST ONE OF THE NEXT N SUCCESSIVE TRIALS, BASED UPON A GEOMETRIC PROBABILITY DENSITY FUNCTION FOR K0-ELEMENT EVENTS ) II ( VARIANT AND TEST EVENT VERSION OF STAT3845 ) READS AN ( IMAX x K0 )-DIMENSIONAL BLOCK OF STAR EVENTS FROM BASE.INP, AND READS (FROM STAT3846.INP) THE PROBABILITY p OF SUCCESS ANY GIVEN TRIAL AND A DESIRED PROJECTED NUMBER OF TRIALS n TO FOLLOW THE MOST RECENT SUCCESS OF EVENT E, DETERMINING q = 1 - p. STAT3846 THEN DETERMINES THE CUMULATIVE PROBABILITY THAT EVENT E WILL BE SUCCESSFUL ON AT LEAST ONE OF THE NEXT n TRIALS, BASED UPON A GEOMETRIC PROBABILITY DENSITY FUNCTION FOR K0-ELEMENT EVENTS. STAT3846 IS THE TEST EVENT VERSION OF STAT3845 AND IT PROCESSES K0-ELEMENT EVENTS, RATHER THAN ELEMENTS . CF. STAT3845. ========================================================================= -- L 3847 -- ( TRANSFORMS AN IMAX-DIMENSIONAL (0,1)-BINARY ARRAY INTO A SINGLE Q0-DIMENSIONAL COLUMN VECTOR OF DISTINCT ELEMENTS WHICH MATCH THE DISPLACEMENTS BETWEEN SUCCESSIVE [1]"s BINARY INPUT ARRAY ) READS AN IMAX-DIMENSIONAL (0,1)-BINARY ARRAY OF ELEMENTS FROM STAT3847.INP, DETERMINES AND ASSIGNS EQUIVALENT INTEGER VALUES TO THE DISPLACEMENTS BETWEEN SUCCESSIVE [1]"s IN THE BINARY ARRAY AND RECORDS THE STRING OF DISPLACEMENTS AS A Q0-DIMENSIONAL VECTOR STAT3683.INP, TO BE FURTHER PROCESSED IN STAT3683 AND STAT3260, SUCCESSIVELY. THIS ALLOWS THE PREDICTION OF THE NEXT SUCCESSFUL INDEX IN THE BINARY ARRAY HAVING AN OUTCOME OF A [1]. THUS, A GIVEN EVENT CORRESPONDING TO THE BINARY ARRAY IN STAT3847 CAN BE DETERMINED TO HAVE A SUCCESS ON THE INDEX OF THE NEXT PROJECTED [1]. IMAX LIES IN THE INTERVAL [ 1,1000 ]. CF. STAT3683 AND STAT3260. THE BINARY ARRAY OF STAT3847.INP MAY BE GENERATED VIA, E.G., STAT3246, STAT2343, ET AL. ========================================================================= -- L 3848 -- ( DETERMINING, FOR AN EVENT E,WITH PROBABILITY OF SUCCESS p AND PROBABILITY OF FAILURE q ON A GIVEN TRIAL, THE CUMULATIVE PROBABILITY THAT THE NEXT SUCCESS OF EVENT E WILL OCCUR ON AT LEAST ONE OF THE NEXT N SUCCESSIVE TRIALS, BASED UPON A GEOMETRIC PROBABILITY DENSITY FUNCTION FOR K0-ELEMENT EVENTS ) III ( VARIANT OF STAT3846 AND TEST EVENT VERSION OF STAT3845 ) READS AN ( IMAX x K0 )-DIMENSIONAL BLOCK OF STAR EVENTS FROM BASE.INP, AND READS (FROM STAT3848.INP) THE PROBABILITY p OF SUCCESS ANY GIVEN TRIAL AND A DESIRED PROJECTED NUMBER OF TRIALS n TO FOLLOW THE MOST RECENT SUCCESS OF EVENT E, DETERMINING q = 1 - p. STAT3848 THEN DETERMINES THE CUMULATIVE PROBABILITY THAT EVENT E WILL BE SUCCESSFUL ON AT LEAST ONE OF THE NEXT n TRIALS, BASED UPON A GEOMETRIC PROBABILITY DENSITY FUNCTION FOR K0-ELEMENT EVENTS. STAT3848 IS A VARIANT OF STAT3846 AND TEST EVENT VERSION OF STAT3845 AND IT PROCESSES K0-ELEMENT EVENTS, RATHER THAN ELEMENTS . CF. STAT3845. CF. STAT3846. ========================================================================= -- L 3849 -- ( FILTERING SELECTED ELEMENTS FROM A UNION OF SUBSTRINGS FROM THE TOP, MIDDLE, AND BOTTOM OF A SEQUENCE OF Q0 ELEMENTS, RANKED IN DESCENDING ORDER OF A PRE-DETERMINED METRIC, SUCH AS CUM_PROB, THE CUMULATIVE PROBABILITY OF OCCURRENCE OF EACH ELEMENT OVER THE NEXT N TRIALS, BASED UPON A GEOMETRIC PROBABILITY DENSITY FUNCTION ) STAT3849 READS A FIXED K0-ELEMENT STAR EVENT FROM BASE2.INP, READS A SEQUENCE OF IMAX K0-ELEMENT STAR EVENTS FROM BASE.INP, AND EXTRACTS A SEQUENCE OF ELEMENTS FROM STAT3849.INP , GENERATED VIA STAT3845 AND FILTERS SELECTED ELEMENTS FROM A UNION OF SUBSTRINGS FROM THE TOP, MIDDLE, AND BOTTOM OF A SEQUENCE OF ELEMENTS IN STAT3849.INP, RANKED IN DESCENDING ORDER OF A PRE-DETERMINED METRIC, SUCH AS CUM_PROB, THE CUMULATIVE PROBABILITY OF OCCURRENCE OF EACH ELEMENT OVER THE NEXT N TRIALS, BASED UPON A GEOMETRIC PROBABILITY DENSITY FUNCTION. EXTRACTED ELEMENTS ARE RECORDED IN PERM.INP FOR FURTHER ANALYSIS. THE ELEMENTS OF A SELECTED STAR EVENT ARE FLAGGED IN BASE2.INP AND COMPARED WITH THE ELEMENTS IN STAT3849.INP. ========================================================================= -- L 3850 -- MONITOR MATRIX GENERATOR XXXXX FREQUENCY COUNTS FOR ELEMENTS IN A LARGE SEQUENCE OF K0-ELEMENT EVENTS ( HYBRID AND VARIANT OF STAT3843, STAT2343 AND STAT3663 ) XX STAT3850 READS A ( K0 x EUNUM(I) )-DIMENSIONAL BLOCK FROM PERM.INP, GENERATING ALL [ n C k0 ] k0-ELEMENT EVENTS FROM PERM.INP, WHERE THE ELEMENTS OF PERM.INP MAY BE GENERATED VIA STAT3250 OR STAT3246. ELEMENTS ARE EXTRACTED OVER EACH ONE OF K0 SEPARATE COLUMNS, TACITLY GENERATING A COMPLETE SET OF 6-ELEMENT EVENTS OVER THE K0 ROWS. STAT3850 IS A VARIANT OF STAT3843, READING A FIXED PERM FROM PERM.INP AND COMPARING EACH GENERATED K0-ELEMENT EVENT WITH A FINITE BASE SET OF STAR EVENTS, DETERMINES THE NUMBER OF ELEMENTS IN EACH EVENT PER 1-EVENT BLOCK IN VS. THE BASE SET, DETERMINES THE RELATIVE FREQUENCIES AND SUM OF RELATIVE FREQUENCIES OF COMMON ELEMENTS FOR COMPARISON, AND GENERATES A MONITOR MATRIX REFLECTING THE PATTERNS OF MATCHES FROM THE ABOVE SEQUENCE OF BASE SETS. STAT3850 IS A VARIANT STAT1030 AND STAT3149, ANALYZING K0-ELEMENT TEST EVENTS RATHER THAN PERMUTATIONS, WITH EVENTS FILTERED FROM SUB-BLOCKS OF SIZE 1. IF THE EXPECTED FREQUENCY CADENCE = 1/K, THEN STAT3850 TACITLY EXAMINES THE LAST K FREQUENCY COUNTS, INSTEAD OF THE LAST JMAX FREQUENCY COUNTS, WHEN SELECTING [*]-QUALIFYING EVENTS TO BE FILTERED, WHERE K IS A DETERMINED FREQUENCY CADENCE FOR 1 / K EVENTS. CF. STAT1031 AND STAT1036 FOR PERMUTATION REPLICAS. STAT3850 READS SUB-BLOCKS OF INPUT TEST EVENTS FROM STAT3850.INP AND UP TO 400 INPUT STAR EVENTS FROM BASE.INP. [*]-QUALIFYING EVENTS ARE FILTERED AND RECORDED IN STAT94.INP, RANKED IN DESCENDING OR ASCENDING ORDER OF INDEX DISPLACEMENT, IDELTA = # Trailing Zeros. STAT3850 IS THE TEST EVENT VERSION OF STAT2349. CF. STAT2349 FOR THE PERMUTATION VERSION. CF. ALSO STAT2514, STAT2604 , STAT2606, AND STAT3149. THE FILE PERM.INP IS TACITYLY GENERATED FOR STAT3573. A CUMULATIVE FILE OF TEST EVENTS IS GENERATED AND RECORDED IN CUMULAT.OUT. CF. STAT3843 AND STAT3610. ========================================================================= -- L 3851 -- ( GENERATING A Q0-ELEMENT PERMUTATION OF UNIQUE ELEMENTS FROM EACH PERMUTATION OF A FIXED SEQUENCE Q0-ELEMENT PERMUTATIONS. THE Q0 ELEMENTS ARE RECORDED LEXICOGRAPHICALLY IN DESCENDING ORDER OF ELEMENT WEIGHTS, FOR EACH GENERATED PERMUTATION ) II ( VARIANT OF STAT3841 AND STAT3477 ) STAT3851 READS A SEQUENCE OF J0 Q0-ELEMENT PERMUTATIONS FROM PERM.INP AND A SEQUENCE OF L0 WEIGHTS OF ELEMENTS FROM WT(L).INP, GENERATED VIA STAT3246, STAT3826, STAT3831, ET AL. FOR EACH INPUT PERMUTATION STAT3851 THEN RECORDS A Q0-ELEMENT PERMUTATION OF UNIQUE ELEMENTS INTO PERM2.OUT, WITH ELEMENTS LEXICOGRAPHICALLY ARRANGED IN DESCENDING ORDER OF WEIGHT, FOR EACH INPUT PERMUTATION. STAT3851 ALSO RECORDS IN STAT94.INP THE K0 TOP RANKING ELEMENTS FROM EACH INPUT PERMUTATION. THE MAX. VALUE OF J0 IS ASSUMED TO BE .LE. 80. THE PERMUTATIONS GENERATED IN PERM2.OUT ARE THEN RANKED IN DESCENDING ORDER OF AVG_WT OF THE Q0 ELEMENTS IN EACH PERMUTATION AND RECORDED IN PERM.OUT FOR FURTHER ANALYSIS. CF. STAT12 FOR THE GENERATION OF PERM.INP FOR STAT351. CF. STAT3841, A VARIANT OF STAT3851. CF. ALSO STAT3477, A VARIANT OF STAT3851. ========================================================================= -- L 3852 -- ( GENERATING A SEQUENCE OF K0-ELEMENT EVENTS FROM EACH EVENT OF A SEQUENCE OF K0-ELEMENT INDEX SETS CONSISTING OF L0 WEIGHTS WT(L) OF ELEMENTS IN < 1, 2, 3, ... , L0 > ) STAT3852 READS A SEQUENCE OF L0 WEIGHTS OF ELEMENTS FROM WT(L).INP, GENERATED BY STAT3246 AS RANK2(L).OUT AND READS A BLOCK OF BMAX K0-ELEMENT INDEX SETS FROM STAT3852.INP, PRE-SELECTED BY THE ANALYST. A SEQUENCE OF BMAX K0-ELEMENT EVENTS IS THEN DETERMINED AND RECORDED IN STAT94.INP AS OUTPUT, BASED UPON INPUT FILES WT(L).INP AND STAT3852.INP. ========================================================================= -- L 3853 -- MONITOR MATRIX GENERATOR XXXXX FREQUENCY COUNTS FOR ELEMENTS IN A LARGE SEQUENCE OF K0-ELEMENT EVENTS ( HYBRID OF STAT2343 AND STAT3663 ) ( CASE: K0 = 5 ) READS A FIXED Q0-ELEMENT PERMUTATION FROM PERM.INP AND GENERATES A COMPLETE SET OF [ Q0 C K0 ] K0-ELEMENT EVENTS. STAT3853 THEN COMPARES EACH GENERATED K0-ELEMENT EVENT WITH A FINITE BASE SET OF STAR EVENTS, DETERMINES THE NUMBER OF ELEMENTS IN EACH EVENT PER 1-EVENT BLOCK IN VS. THE BASE SET, DETERMINES THE RELATIVE FREQUENCIES AND SUM OF RELATIVE FREQUENCIES OF COMMON ELEMENTS FOR COMPARISON, AND GENERATES A MONITOR MATRIX REFLECTING THE PATTERNS OF MATCHES FROM THE ABOVE SEQUENCE OF BASE SETS. STAT3853 IS A VARIANT STAT1030 AND STAT3149, ANALYZING K0-ELEMENT TEST EVENTS RATHER THAN PERMUTATIONS, WITH EVENTS FILTERED FROM SUB-BLOCKS OF SIZE 1. IF THE EXPECTED FREQUENCY CADENCE = 1/K, THEN STAT3853 TACITLY EXAMINES THE LAST K FREQUENCY COUNTS, INSTEAD OF THE LAST JMAX FREQUENCY COUNTS, WHEN SELECTING [*]-QUALIFYING EVENTS TO BE FILTERED, WHERE K IS A DETERMINED FREQUENCY CADENCE FOR 1 / K EVENTS. CF. STAT1031 AND STAT1036 FOR PERMUTATION REPLICAS. STAT3853 READS SUB-BLOCKS OF INPUT TEST EVENTS FROM STAT3853.INP AND UP TO 400 INPUT STAR EVENTS FROM BASE.INP. [*]-QUALIFYING EVENTS ARE FILTERED AND RECORDED IN STAT94.INP, RANKED IN DESCENDING OR ASCENDING ORDER OF INDEX DISPLACEMENT, IDELTA = # Trailing Zeros. STAT3853 IS THE TEST EVENT VERSION OF STAT2349. CF. STAT2349 FOR THE PERMUTATION VERSION. CF. ALSO STAT2514, STAT2604 , STAT2606, AND STAT3149. THE FILE PERM.INP IS TACITYLY GENERATED FOR STAT3573. A CUMULATIVE FILE OF TEST EVENTS IS GENERATED AND RECORDED IN CUMULAT.OUT. CF. STAT3610. CF. STAT3843 FOR THE CASE: K0 = 6. ========================================================================= -- L 3854 -- ( GENERATING A SEQUENCE OF K0-ELEMENT TEST EVENTS FROM EACH EVENT OF A SEQUENCE OF BMAX (K0-1)-ELEMENT EVENTS, BY APPENDING EACH ELEMENT OF A Q0-ELEMENT PERMUTATION TO EACH INITIAL TEST EVENT ) STAT3854 READS A SEQUENCE OF BMAX (K0-1)-ELEMENT TEST EVENTS FROM STAT3854.INP AND A Q0-ELEMENT PERMUTATION FROM PERM.INP, WHICH IS GENERATED VIA STAT3858 AS PERM.OUT. EACH UNIQUE ELEMENT OF PERM.INP IS THEN APPENDED AS THE 6TH AND FINAL ELEMENT OF EACH TEST EVENT OF STAT3854.INP, GENERATING A NEW SEQUENCE OF BMAX*Q0 K0-ELEMENT TEST EVENTS, WHICH ARE RECORDED AS OUTPUT IN STAT94.INP. ========================================================================= -- L 3855 -- MONITOR MATRIX GENERATOR XXXXX FREQUENCY COUNTS FOR ELEMENTS IN A LARGE SEQUENCE OF K0-ELEMENT EVENTS (GENERATING AND RANKING 3-ELEMENT TEST EVENTS FROM A FIXED PERMUTATION) ( HYBRID OF STAT3843 AND STAT3853 ) READS A FIXED Q0-ELEMENT PERMUTATION FROM PERM.INP AND GENERATES A COMPLETE SET OF [ Q0 C 3 ] 3-ELEMENT EVENTS. STAT3855 THEN COMPARES EACH GENERATED K0-ELEMENT EVENT WITH A FINITE BASE SET OF STAR EVENTS, DETERMINES THE NUMBER OF ELEMENTS IN EACH EVENT PER 1-EVENT BLOCK IN VS. THE BASE SET, DETERMINES THE RELATIVE FREQUENCIES AND SUM OF RELATIVE FREQUENCIES OF COMMON ELEMENTS FOR COMPARISON, AND GENERATES A MONITOR MATRIX REFLECTING THE PATTERNS OF MATCHES FROM THE ABOVE SEQUENCE OF BASE SETS. STAT3855 IS A VARIANT STAT3843 AND STAT3853, ANALYZING 3-ELEMENT TEST EVENTS RATHER THAN 5 OR 6-ELEMENT EVENTS TO BE FILTERED FROM SUB-BLOCKS OF SIZE 1. IF THE EXPECTED FREQUENCY CADENCE = 1/K, THEN STAT3855 TACITLY EXAMINES THE LAST K FREQUENCY COUNTS, INSTEAD OF THE LAST JMAX FREQUENCY COUNTS, WHEN SELECTING [*]-QUALIFYING EVENTS TO BE FILTERED, WHERE K IS A DETERMINED FREQUENCY CADENCE FOR 1 / K EVENTS. CF. STAT1031 AND STAT1036 FOR PERMUTATION REPLICAS. STAT3855 READS SUB-BLOCKS OF INPUT TEST EVENTS FROM STAT3855.INP AND UP TO 400 INPUT STAR EVENTS FROM BASE.INP. [*]-QUALIFYING EVENTS ARE FILTERED AND RECORDED IN STAT94.INP, RANKED IN DESCENDING OR ASCENDING ORDER OF INDEX DISPLACEMENT DELTA = # Trailing Zeros. STAT3855 IS THE TEST EVENT VERSION OF STAT2349. CF. STAT2349 FOR THE PERMUTATION VERSION. CF. ALSO STAT2514, STAT2604 , STAT2606, AND STAT3149. THE FILE PERM.INP IS TACITYLY GENERATED FOR STAT3573. A CUMULATIVE FILE OF TEST EVENTS IS GENERATED AND RECORDED IN CUMULAT.OUT. CF. ALSO STAT3610, STAT3843, AND STAT3853. ========================================================================= -- L 3856 -- ( INTERSECTING A FIXED K0-ELEMENT EVENTS WITH AN ARBITRARILY LARGE SEQNEUCE OF EVENTS AND RECORDING THE INTERSECTION BLUEPRINT OR TRACE ) STAT3856 READS A FIXED K0-ELEMENT STAR EVENT FROM BASE2.INP AND AN ARBITRARILY LARGE SEQUENCE OF K0-ELEMENT EVENTS FROM STAT3856.INP. THE STAR EVENT IN BASE2.INP IS INTERSECTED WITH EACH TEST EVENT IN STAT3856.INP AND A TRACE OR BLUEPRINT OF INTERSECTIONS IS RECORDED IN STAT3856.OUT FOR FURTHER ANALYSIS. ========================================================================= -- L 3857 -- ( SELECTING THE FIRST ELEMENT IN EACH SUBSTRING CONTAINING ELEMENTS OF EQUAL WEIGHT ( HAVING A LIKELY PROBABILITY FOR OCCURRING ON THE NEXT TRIAL) FROM A SEQUENCE OF Q0 PERMUTATION ELEMENTS RANKED IN ASCENDING ORDER OF WEIGHT, DETERMINED VIA STAT3842 AND STAT3845 ) STAT3857 READS AN L0-ELEMENT PERMUTATION, GENERATED FROM PERM.INP VIA STAT3842 AND STAT3845, AND SELECTS THE FIRST ELEMENT OF EACH SUBSTRING CONSISTING OF EQUAL-WEIGHTED ELEMENTS. THE INDUCED SUB-PERMUTATION IS PRESUMED TO HAVE A SIGNIFICANT PROBABILTY OF YIELDING THE HIGHEST NUMBER OF ELEMENTS VS. THE STAR EVENT OF THE NEXT TRIAL IN BASE.INP. ========================================================================= -- L 3858 -- MONITOR MATRIX GENERATOR XXIX FREQUENCY COUNTS FOR A SEQUENCE OF ELEMENTS < 1 , 2, ... , L0 > VS. A SEQUENCE OF STAR EVENTS ( PROBABILITY THAT ELEMENT L OCCURS IN THE NEXT STAR EVENT VIA A BINOMIAL DISTRIBUTION FUNCTION OVER EACH ONE OF K0 SEPARATE COLUMNS ) ( BINOMIAL DISTRIBUTION VARIANT OF STAT3250 ) READS A SEQUENCE OF IMAX STAR EVENTS ON THE ELEMENTS ON THE ELEMENTS IN T = < 1, 2, ... , L0 > DETERMINES A (0,1) - OCCURRENCE MATRIX FOR EACH OF THE L0 ELEMENTS OF THE SET T, THE RELATIVE FREQUENCY OF EACH ELEMENT IN T, AND DETERMINES A PROJECTED SEQUENCE OF TRANSLATION VECTORS IN PERM.INP, WHICH ARE HIGHLY LIKELY TO OCCUR IN THE NEXT K0-ELEMENT STAR EVENT OF BASE.INP. STAT3858 IS A VARIANT OF STAT3246, ANALYZING L0 ELEMENTS IN STAR EVENTS OVER EACH ONE OF K0 SEPARATE COLUMNS VS. THE BASE SET OF STAR EVENTS, BUT FILTERING STAR ELEMENTS, BASED UPON THE BINOMIAL PROBAILITY DISTRIBUTION DETERMINING THE Pr(EACH ELEMENT L WILL OCCUR FOLLOWING THE FINAL STAR EVENT). A DETERMINED THRESHOLD VALUE, M0, BASED UPON STAR EVENT INDEXES. STAT3858 READS UP TO 100 STAR EVENTS IN BASE.INP AND ANALYZES ELEMENTS IN THE RANGE < 1, ... , L0 >, WHERE THE MAXIMUM VALUE OF L0 IS 54. CF. ALSO STAT893, STAT894, STAT899, AND STAT933. VS. THE BASE SET OF STAR EVENTS, BUT FILTERING STAR ELEMENTS, BASED UPON WHETHER OR NOT THE INDEX OF STAR EVENT (IMAX+1-M0) IS CONGRUENT TO 0 (MOD KCT), WHERE M0 IS THE STAR INDEX OF THE FIRST OCCURRING ELEMENT 1 IN THE (0,1) - OCCURRENCE MATRIX AND KCT IS THE NUMBER OF ELAPSED EVENTS PER OCCURRENCE OF A 1 IN THE (0,1) - OCCURRENCE MATRIX FOR EACH OF THE L0 STAR ELEMENTS. M1 IS THE DESIRED THRESHOLD VALUE FOR INDEXES: M1 (MOD KCT). STAT3858 READS UP TO 100 STAR EVENTS IN BASE.INP AND ANALYZES ELEMENTS IN THE RANGE < 1, ... , L0 >, WHERE THE MAXIMUM VALUE OF L0 IS 54. CF. ALSO STAT893, STAT894, STAT899, AND STAT933. STAT3858 IS A VARIANT OF STAT934, BUT UTILIZES A DIFFERENT ALGORITHMIC TECHNIQUE FOR DETERMINING HIGH-PROBABILITY ELEMENTS. SIGNIFICANTLY, STAT3858 GENERATES PERM.OUT AND PERM2.OUT FOR PROCESSING AS PERM.INP IN STAT543, STAT3011, STAT3012, STAT3013, STAT3121. AND STAT3122. A Q0-ELEMENT VECTOR OF TRANSLATION ELEMENTS IS READ FROM PERM.INP AND COMPARED TO D(L) FOR EACH L, WHERE D(L) = 1000 * PROBABILITY THAT ELEMENT L WILL OCCUR IN EVENT IMAX+1, IMMEDIATELY SUCCEEDING THE FINAL STAR EVENT. ( CUMULAT.OUT. ========================================================================= -- L 3859 -- MONITOR MATRIX GENERATOR XXX FREQUENCY COUNTS FOR AN ELEMENT L = 0 OVER EACH ONE OF K0 COLUMNST VS. A SEQUENCE OF K0-ELEMENT STAR EVENTS ( PROBABILITY THAT ELEMENT L = 0 OCCURS IN THE NEXT STAR EVENT VIA A BINOMIAL DISTRIBUTION FUNCTION OVER EACH ONE OF K0 SEPARATE COLUMNS ) ( BINOMIAL DISTRIBUTION VARIANT OF STAT3858 RESTRICTED TO ELEMENT 0 ) STAT3859 READS A SEQUENCE OF IMAX STAR EVENTS ON THE ELEMENTS ON ELEMENT L = 0, THEN DETERMINES AND ANALYZES A BINARY OR (0,1) OCCURRENCE MATRIX FOR EACH OF THE L0 ELEMENTS OF THE SET T, THE RELATIVE FREQUENCY OF THE ELEMENT 0 , AND DETERMINES A PROJECTED SEQUENCE OF TRANSLATION VECTORS IN PERM.INP, WHICH ARE HIGHLY LIKELY TO OCCUR IN THE NEXT K0-ELEMENT STAR EVENT OF BASE.INP. STAT3859 IS A VARIANT OF STAT3858, ANALYZING L0 ELEMENTS IN STAR EVENTS OVER EACH ONE OF K0 SEPARATE COLUMNS VS. THE BASE SET OF STAR EVENTS, BUT FILTERING STAR ELEMENTS, BASED UPON THE BINOMIAL PROBAILITY DISTRIBUTION DETERMINING THE Pr(EACH ELEMENT L WILL OCCUR FOLLOWING THE FINAL STAR EVENT). A DETERMINED THRESHOLD VALUE, M0, BASED UPON STAR EVENT INDEXES. STAT3859 READS UP TO 100 STAR EVENTS IN BASE.INP AND ANALYZES ELEMENTS IN THE RANGE < 0, 1, ... , L0 >, WHERE THE MAXIMUM VALUE OF L0 IS 54. CF. ALSO STAT893, STAT894, STAT899, AND STAT933. VS. THE BASE SET OF STAR EVENTS, BUT FILTERING STAR ELEMENTS, BASED UPON WHETHER OR NOT THE INDEX OF STAR EVENT (IMAX+1-M0) IS CONGRUENT TO 0 (MOD KCT), WHERE M0 IS THE STAR INDEX OF THE FIRST OCCURRING ELEMENT 1 IN THE (0,1) - OCCURRENCE MATRIX AND KCT IS THE NUMBER OF ELAPSED EVENTS PER OCCURRENCE OF A 1 IN THE (0,1) - OCCURRENCE MATRIX FOR EACH OF THE L0 STAR ELEMENTS. M1 IS THE DESIRED THRESHOLD VALUE FOR INDEXES: M1 (MOD KCT). STAT3859 READS UP TO 100 STAR EVENTS IN BASE.INP AND ANALYZES ELEMENTS IN THE RANGE < 0, 1, ... , L0 >, WHERE THE MAXIMUM VALUE OF L0 IS 54. CF. ALSO STAT893, STAT894, STAT899, AND STAT933. STAT3859 IS A VARIANT OF STAT934, BUT UTILIZES A DIFFERENT ALGORITHMIC TECHNIQUE FOR DETERMINING HIGH-PROBABILITY ELEMENTS. SIGNIFICANTLY, STAT3859 GENERATES PERM.OUT AND PERM2.OUT FOR PROCESSING AS PERM.INP IN STAT543, STAT3011, STAT3012, STAT3013, STAT3121. AND STAT3122. A Q0-ELEMENT VECTOR OF TRANSLATION ELEMENTS IS READ FROM PERM.INP AND COMPARED TO D(L) FOR EACH L, WHERE D(L) = 1000 * PROBABILITY THAT ELEMENT L WILL OCCUR IN EVENT IMAX+1, IMMEDIATELY SUCCEEDING THE FINAL STAR EVENT. ( VS. A SEQUENCE OF STAR EVENTS ( PROBABILITY THAT ELEMENT L OCCURS IN THE NEXT STAR EVENT VIA A NEGATIVE-BINOMIAL DISTRIBUTION FUNCTION OVER EACH ONE OF K0 SEPARATE COLUMNS ) ( NEGATIVE-BINOMIAL DISTRIBUTION VARIANT OF STAT3246, RESTRICTED TO A SELECTED COLUMN STRING [ C1,C2 ] in { 1, 2, ... , K0 } ) READS A SEQUENCE OF IMAX STAR EVENTS ON THE ELEMENTS ON THE ELEMENTS IN T = < 1, 2, ... , L0 > DETERMINES A (0,1) - OCCURRENCE MATRIX FOR EACH OF THE L0 ELEMENTS OF THE SET T, THE RELATIVE FREQUENCY OF EACH ELEMENT IN T, AND DETERMINES A PROJECTED SEQUENCE OF TRANSLATION VECTORS IN PERM.INP, WHICH ARE HIGHLY LIKELY TO OCCUR IN THE NEXT K0-ELEMENT STAR EVENT OF BASE.INP. STAT3860 IS A VARIANT OF STAT3246, ANALYZING L0 ELEMENTS IN STAR EVENTS OVER EACH ONE OF K0 SEPARATE COLUMNS VS. THE BASE SET OF STAR EVENTS, BUT FILTERING STAR ELEMENTS, BASED UPON THE NEG-BINOMIAL PROBAILITY DISTRIBUTION DETERMINING THE Pr(EACH ELEMENT L WILL OCCUR FOLLOWING THE FINAL STAR EVENT). A DETERMINED THRESHOLD VALUE, M0, BASED UPON STAR EVENT INDEXES. STAT3860 READS UP TO 100 STAR EVENTS IN BASE.INP AND ANALYZES ELEMENTS IN THE RANGE < 1, ... , L0 >, WHERE THE MAXIMUM VALUE OF L0 IS 54. CF. ALSO STAT893, STAT894, STAT899, AND STAT933. VS. THE BASE SET OF STAR EVENTS, BUT FILTERING STAR ELEMENTS, BASED UPON WHETHER OR NOT THE INDEX OF STAR EVENT (IMAX+1-M0) IS CONGRUENT TO 0 (MOD KCT), WHERE M0 IS THE STAR INDEX OF THE FIRST OCCURRING ELEMENT 1 IN THE (0,1) - OCCURRENCE MATRIX AND KCT IS THE NUMBER OF ELAPSED EVENTS PER OCCURRENCE OF A 1 IN THE (0,1) - OCCURRENCE MATRIX FOR EACH OF THE L0 STAR ELEMENTS. M1 IS THE DESIRED THRESHOLD VALUE FOR INDEXES: M1 (MOD KCT). STAT3860 READS UP TO 100 STAR EVENTS IN BASE.INP AND ANALYZES ELEMENTS IN THE RANGE < 1, ... , L0 >, WHERE THE MAXIMUM VALUE OF L0 IS 54. CF. ALSO STAT893, STAT894, STAT899, AND STAT933. STAT3860 IS A VARIANT OF STAT934, BUT UTILIZES A DIFFERENT ALGORITHMIC TECHNIQUE FOR DETERMINING HIGH-PROBABILITY ELEMENTS. SIGNIFICANTLY, STAT3860 GENERATES PERM.OUT AND PERM2.OUT FOR PROCESSING AS PERM.INP IN STAT543, STAT3011, STAT3012, STAT3013, STAT3121. AND STAT3122. A Q0-ELEMENT VECTOR OF TRANSLATION ELEMENTS IS READ FROM PERM.INP AND COMPARED TO D(L) FOR EACH L, WHERE D(L) = 1000 * PROBABILITY THAT ELEMENT L WILL OCCUR IN EVENT IMAX+1, IMMEDIATELY SUCCEEDING THE FINAL STAR EVENT. ( , OF TENS DIGITS AND A K0-ELEMENT VECTOR , < U(J),J = 1 , ... , K0 > , OF UNITS DIGITS (GENERATED VIA STAT3683 AND STAT3858) AND, TACITLY , GENERATES FROM THEM, A K0-ELEMENT EVENT: < E(J), J = 1 , ... , K0 > WHERE, FOR EACH J , E(J) = 10*T(J) + U(J). THE K0-ELEMENT EVENT IS RECORDED IN STAT3861.OUT AND STAT94.INP FOR FURTHER ANALYSIS. ========================================================================= -- L 3862 -- ( SELECTING THE HIGHEST PROBABILITY ELEMENT IN NON-OVERLAPPING SUBSTRINGS OF SELECTED SIZES FROM AN L0-ELEMENT STRING WITH ELEMENTS PRESUMED TO BE PRE-RANKED IN DESCENDING ORDER OF PROBABILITY ) STAT3862 READS AN L0-ELEMENT VECTOR , < P(J), J = 1 , ... , L0 > , OF ELEMENTS IN PERM.INP, GENERATED FROM STAT3860 AS PERM.OUT, WITH ELEMENTS RANKED IN DESCENDING ORDER OF BINOMIAL PROBABILITY OF OCCURRING ON THE NEXT TRIAL OF STAR EVENTS. THE HIGHEST PROBABILITY ELEMENT IS SELECTED FROM EACH NON-OVERLAPPING SUBSTRING OF SELECTED SIZES. THE FIRST K0-ELEMENTS ON EACH CYCLE ARE RECORDED IN STAT94.INP AS K0-ELEMENT HIGH-PROBABILITY EVENTS. ========================================================================= -- L 3863 -- ( GENERATING A PERMUTATION WHEEL OF Q0 UNIQUE ELEMENTS FROM A FIXED (BMAX x K0)-DIMENSIONAL BLOCK OF EVENTS) STAT3863 READS A FIXED (BMAX x K0)-DIMENSIONAL BLOCK OF EVENTS FROM STAT3863.INP AND GENERATES A PERMUTATION WHEEL OF Q0 UNIQUE ELEMENTS INTO PERM.INP FOR FURTHER ANALYSIS AND USAGE IN STAT28 AS PERM.INP. ========================================================================= -- L 3864 -- ( SELECTING HIGH-PROBABILITY K0-ELEMENT EVENTS FROM THE CENTER OF AN L0-ELEMENT PERMUTATION WHOSE ELEMENTS ARE PRESUMED TO BE PRE-RANKED IN DESCENDING ORDER OF BINOMIAL PROBABILITY FOR THE NEXT STAR EVENT TRIAL ) STAT3864 READS AN L0-ELEMENT VECTOR , < P(J), J = 1 , ... , L0 > , OF ELEMENTS IN PERM.INP, GENERATED FROM STAT3860 AS PERM.OUT, WITH ELEMENTS RANKED IN DESCENDING ORDER OF BINOMIAL PROBABILITY OF OCCURRING ON THE NEXT TRIAL OF STAR EVENTS. TEN K0-ELEMENT EVENTS ARE RECORDED IN STAT94.INP FOR WHICH EACH ADJACENT PAIR OF ELEMENTS HAS AN INDEX DISPLACEMENT IN { 0, 1, 2, 3, 4, 5 }. K0-ELEMENT EVENTS ARE SELECTED FROM THE CENTER OF PERM.INP, WITH THE ANCHOR ELEMENT FROM PERM.INP HAVING INDEX L0/2. ========================================================================= -- L 3865 -- ( RE-FORMATS A LARGE SEQUENCE OF K0-ELEMENT EVENTS FROM INITIAL 6(1X,I2) FORMAT ===> 6(I4) FORMAT ) STAT3865 READS AN ARBITRARILY LARGE SEQUENCE OF K0-ELEMENT EVENTS FROM STAT3865.INP, INITIALLY FORMATTED AS 6(1X,I2) , AND RE-FORMATS IT AS 6(I4)) FOR FURTHER PROCESSING AS STAT3865.OUT. ========================================================================= -- L 3866 -- ( GENERATING A Q0-ELEMENT PERMUTATION OF UNIQUE ELEMENTS FROM A FIXED ( K0 x F(K0) ) - DIMENSIONAL BLOCK OF PERMUTATIONS OR A ( BMAX x F(K0) ) - DIMENSIONAL BLOCK OF TEST EVENTS, WHERE THE Q0 ELEMENTS ARE RECORDED PERM.OUT FOR FURTHER ANALYSIS ) STAT3866 READS A FIXED (K0 x F(K0))-DIMENSIONAL BLOCK OF PERMUTATIONS FROM PERM.INP, GENERATED FROM STAT3858, ET AL. OR A ( BMAX x F(K0) ) - DIMENSIONAL BLOCK OF TEST EVENTS FROM STAT3866.INP, GENERATED VIA STAT3868 AS STAT94.INP, E.G. STAT3866 THEN GENERATES AND RECORDS A Q0-ELEMENT PERMUTATION OF UNIQUE ELEMENTS FROM PERM.INP INTO PERM.OUT FOR FURTHER ANALYSIS. CF. ALSO STAT3477, AS STAT3866 IS A DUAL VARIANT OF STAT3477. ========================================================================= -- L 3867 -- MONITOR MATRIX GENERATOR XXXXX FREQUENCY COUNTS FOR ELEMENTS IN A LARGE SEQUENCE OF K0-ELEMENT EVENTS XVI ( BINOMIAL DISTRIBUTION VARIANT OF STAT3561 AND STAT3269 ) ( EXCLUSIVELY UTILIZING A BINOMIAL PROBABILITY DISTRIBUTION ) COMPARES A LARGE SET OF K0-ELEMENT BLOCKS WITH A FINITE BASE SET OF ELEMENTS, DETERMINES THE NUMBER OF ELEMENTS IN EACH EVENT PER BMAX-EVENT BLOCK IN VS. THE BASE SET, DETERMINES THE RELATIVE FREQUENCIES AND SUM OF RELATIVE FREQUENCIES OF COMMON ELEMENTS FOR COMPARISON, AND GENERATES A MONITOR MATRIX REFLECTING THE PATTERNS OF MATCHES FROM THE ABOVE SEQUENCE OF BASE SETS. STAT3867 IS A VARIANT OF STAT3561, UTILIZING MTC AND RATIO TO RANK EVENTS, RATHER THAN PERMUTATIONS, WITH EVENTS FILTERED FROM SUB-BLOCKS OF SIZE BMAX. HOWEVER, STAT3867 TACITLY AND EXCLUSIVELY UTILIZES A BINOMIAL PROBABILITY DISTRIBUTION TO TACITLY DETERMINE AND FILTER [*]-QUALIFYING TEST EVENTS, I.E., EVENTS WHOSE PROBABILITY OF HAVING AN INTERSECTION CARDINALITY IN THE INTERVAL [ M1,M2 ] VS. THE SEQUENCE OF STAR EVENTS IS IN SOME INTERVAL [ Q1,Q2 ]. IF THE EXPECTED FREQUENCY CADENCE = 1/K, THEN STAT3867 TACITLY EXAMINES THE LAST K FREQUENCY COUNTS, INSTEAD OF THE LAST JMAX FREQUENCY COUNTS, WHEN SELECTING [*]-QUALIFYING EVENTS TO BE FILTERED, WHERE K IS A DETERMINED FREQUENCY CADENCE FOR 1 / K EVENTS. CF. STAT1031 AND STAT1036 FOR PERMUTATION REPLICAS. STAT3867 READS SUB-BLOCKS OF BMAX INPUT TEST EVENTS FROM STAT3867.INP AND UP TO 600 INPUT STAR EVENTS FROM BASE.INP. [*]-QUALIFYING EVENTS ARE FILTERED AND RECORDED IN STAT94.INP, RANKED IN DESCENDING ORDER OF IDELTA = 100 * Pr( EVENT E is [*]-Qualified ) <=========> Pr( EVENT E HAS AN INTERSECTION CARDINALITY IN THE INTERVAL [ M1,M2 ] ON TRIAL NUMBER JMAX+1, FOLLOWING THE FINAL STAR EVENT WITH INDEX JMAX. JDELTA IS REQUIRED TO BE .GE. 0 FOR EACH [*]-QUALIFIED FILTERED TEST EVENT. STAT3867 IS A DERIVATIVE AND VARIANT OF STAT3487 AND A TEST EVENT VERSION OF STAT2349. CF. STAT2349 FOR THE PERMUTATION VERSION. CF. ALSO STAT2514, STAT2604 STAT2606, STAT3149, STAT2343, AND STAT3251. CF. STAT3247 FOR A VERSION OF STAT3867 WHICH RANKS [*]-QUALIFYING EVENTS IN DESCENDING ORDER OF JDELTA = MTC - IRATIO. IN STAT3867, JDELTA IS TACITLY REQUIRED TO BE .GE. 0. CODE GREEN-[*]-QUALIFYING TEST EVENTS ARE RANKED IN DESCENDING ORDER OF PROBABILITIES AND RECORDED IN STAT94.INP. CODE RED-[*]-QUALIFYING TEST EVENTS ARE RANKED IN DESCENDING ORDER OF PROBABILITIES AND RECORDED IN STAT94.IN2. CF. STAT3320 FOR THE PERMUTATION VERSION. CF. STAT3419. CF. ALSO STAT2343, STAT3247, STAT3419, STAT3469, STAT3487, STAT3491. STAT3867 GENERATES THE CRITICAL FILE STAT3525.INP FOR ANALYSIS IN STAT3525. CF. STAT3269. ========================================================================= -- L 3868 -- MONITOR MATRIX GENERATOR XXXXXXXXXX FREQUENCY COUNTS FOR ELEMENTS IN 2-ELEMENT EVENTS FROM A FIXED V0-ELEMENT PERMUTATION ( PERMUTATION VERSION OF STAT3723 ) ( PERMUTATION VERSION OF STAT3641 , STAT3642, AND STAT3647 ) (VARIANT OF STAT3639, STAT3638, STAT3419, STAT3469, STAT3487, STAT3491) ( CASE : K0 = 2 ) ( PAIRS ) ( SCALED PRODUCTS OF WEIGHTS OF ELEMENTS PER 2-ELEMENT TEST EVENT ) ( UTILIZING PRE-DETERMINED BINOMIAL OR GEOMETRIC PROBABILITY DISTRIBUTION TO DETERMINE PROBABILITIES ) STAT3868 READS AN L0-ELEMENT SEQUENCE OF PROBABILITIES/WEIGHTS OF ELEMENTS IN WT(L).INP ON < 1, ... , L0 >, GEN. BY STAT3860/3246 , READS A V0-ELEMENT PERMUTATION FROM PERM.INP ON THE ELEMENTS IN PERM.INP, DETERMINES ALL [ V0 CHOOSE 2 ] 2-ELEMENT TEST EVENTS, AND RANKS THE EVENTS IN DESCENDING ORDER OF SCALED PRODUCTS OF WTS. OF ELEMENTS OVER ALL OF THE COLUMNS < 1 and 2 >. STAT3868 IS A VARIANT OF STAT3641 AND STAT3642 AND STAT3247, ANALYZING 2-ELEMENT SUBSTRINGS FROM PERM.INP, RATHER THAN K0-ELEMENT TEST EVENTS FROM STAT3868.INP. A PRODUCT OF ELEMENT PROBABILITIES PER EVENT, WITHIN A DESIRED RANGE [ S1,S2 ] IS SELECTED IN REAL-TIME BY THE ANALYST. ========================================================================= -- L 3869 -- MONITOR MATRIX GENERATOR XXXXXXXXXX FREQUENCY COUNTS FOR ELEMENTS IN 3-ELEMENT EVENTS FROM A FIXED V0-ELEMENT PERMUTATION ( PERMUTATION VERSION OF STAT3723 ) ( PERMUTATION VERSION OF STAT3641 , STAT3642, AND STAT3647 ) (VARIANT OF STAT3639, STAT3638, STAT3419, STAT3469, STAT3487, STAT3491) ( CASE : K0 = 3 ) ( TRIADS ) ( SCALED PRODUCTS OF WEIGHTS OF ELEMENTS PER 3-ELEMENT TEST EVENT ) ( UTILIZING PRE-DETERMINED BINOMIAL OR GEOMETRIC PROBABILITY DISTRIBUTION TO DETERMINE PROBABILITIES ) STAT3869 READS AN L0-ELEMENT SEQUENCE OF PROBABILITIES/WEIGHTS OF ELEMENTS IN WT(L).INP ON < 1, ... , L0 >, GEN. BY STAT3860/3246 , READS A V0-ELEMENT PERMUTATION FROM PERM.INP ON THE ELEMENTS IN PERM.INP, DETERMINES ALL [ V0 CHOOSE 3 ] 3-ELEMENT TEST EVENTS, AND RANKS THE EVENTS IN DESCENDING ORDER OF SCALED PRODUCTS OF WTS. OF ELEMENTS OVER ALL OF THE COLUMNS < 1, 2, 3 >. STAT3869 IS A VARIANT OF STAT3641 AND STAT3642 AND STAT3247, ANALYZING 3-ELEMENT SUBSTRINGS FROM PERM.INP, RATHER THAN K0-ELEMENT TEST EVENTS FROM STAT3869.INP. A PRODUCT OF ELEMENT PROBABILITIES PER EVENT, WITHIN A DESIRED RANGE [ S1,S2 ] IS SELECTED IN REAL-TIME BY THE ANALYST. ========================================================================= -- L 3870 -- MONITOR MATRIX GENERATOR XXXXXXXXXX FREQUENCY COUNTS FOR ELEMENTS IN 6-ELEMENT EVENTS FROM A FIXED V0-ELEMENT PERMUTATION ( PERMUTATION VERSION OF STAT3875 AND STAT3723 ) ( PERMUTATION VERSION OF STAT3641 , STAT3642, AND STAT3647 ) (VARIANT OF STAT3639, STAT3638, STAT3419, STAT3469, STAT3487, STAT3491) ( CASE : K0 = 6 ) ( SCALED PRODUCTS OF WEIGHTS OF ELEMENTS PER 6-ELEMENT TEST EVENT ) ( UTILIZING PRE-DETERMINED BINOMIAL OR GEOMETRIC PROBABILITY DISTRIBUTION TO DETERMINE PROBABILITIES ) STAT3870 READS AN L0-ELEMENT SEQUENCE OF PROBABILITIES/WEIGHTS OF ELEMENTS IN WT(L).INP ON < 1, ... , L0 >, GEN. BY STAT3860/3246 , READS A V0-ELEMENT PERMUTATION FROM PERM.INP ON THE ELEMENTS IN PERM.INP, DETERMINES ALL [ V0 CHOOSE 6 ] 6-ELEMENT TEST EVENTS, AND RANKS THE EVENTS IN DESCENDING ORDER OF SCALED PRODUCTS OF WTS. OF ELEMENTS OVER ALL OF THE COLUMNS < 1, ... , 6 >. STAT3870 IS A VARIANT OF STAT3868 AND STAT3641 AND STAT3247, ANALYZING 3-ELEMENT SUBSTRINGS FROM PERM.INP, RATHER THAN K0-ELEMENT TEST EVENTS FROM STAT3870.INP. A PRODUCT OF ELEMENT PROBABILITIES PER EVENT, WITHIN A DESIRED RANGE [ S1,S2 ] IS SELECTED IN REAL-TIME BY THE ANALYST. ========================================================================= -- L 3871 -- MONITOR MATRIX GENERATOR XXXXXXXXXXV FREQUENCY COUNTS FOR ELEMENTS IN EITHER 5- or 6-ELEMENT EVENTS FROM A FIXED V0-ELEMENT PERMUTATION ( GENERATING ALL [ n C k0 ] k0-ELEMENT EVENTS FROM A ( K0 x ENUM(I) )- DIMENSIONAL BLOCK OF PERMUTATION ELEMENTS ) ( PERMUTATION VERSION OF STAT3641, STAT3642, STAT3639, AND STAT3288 ) (VARIANT OF STAT3870, STAT3638, STAT3419, STAT3469, STAT3487, STAT3491) ( CASE : K0 = 5 or 6 ) ( SCALED PRODUCTS OF WEIGHTS OF ELEMENTS PER 5 or 6-ELEMENT TEST EVENT ) ( UTILIZING PRE-DETERMINED BINOMIAL OR GEOMETRIC PROBABILITY DISTRIBUTION TO DETERMINE PROBABILITIES ) STAT3871 READS AN L0-ELEMENT SEQUENCE OF PROBABILITIES/WEIGHTS OF ELEMENTS IN WT(L).INP ON < 1, ... , L0 >, GEN. BY STAT3490/3860/3246 , READS A [ K0 x ENUM(I) ] BLOCK FROM PERM.INP ON THE ELEMENTS IN PERM.INP, GENERATED VIA STAT3858 AS PERM.INP, OR A RELATED ROUTINE. STAT3871 THEN DETERMINES ALL [ V0 CHOOSE K0 ] K0-ELEMENT TEST EVENTS, AND RANKS THE EVENTS IN DESCENDING ORDER OF SCALED PRODUCTS OF WTS. OF ELEMENTS OVER ALL OF THE COLUMNS < 1, ... , K0 >. STAT3871 IS A VARIANT OF STAT3868 AND STAT3641 AND STAT3247, ANALYZING 3-ELEMENT SUBSTRINGS FROM PERM.INP, RATHER THAN K0-ELEMENT TEST EVENTS FROM STAT3871.INP. A PRODUCT OF ELEMENT PROBABILITIES PER EVENT, WITHIN A DESIRED RANGE [ S1,S2 ] IS SELECTED IN REAL-TIME BY THE ANALYST. ========================================================================= -- L 3872 -- ( DETERMINING THE SUM OF THE PROBABILITY WEIGHTS OF THE ELEMENTS IN EACH ONE OF K0 PERMUTATIONS AND DETERMINING THE PRODUCT OF THE PROBABILITY SUM, OVER THE K0 PERMUTATIONS ) STAT3872 READS AN L0-ELEMENT SEQUENCE OF PROBABILITIES/WEIGHTS OF ELEMENTS IN WT(L).INP ON < 1, ... , L0 >, GEN. BY STAT3490/3860/3246 , READS A [ K0 x ENUM(I) ] BLOCK FROM PERM.INP ON THE ELEMENTS IN PERM.INP, GENERATED VIA STAT3858 AND STAT3703, AS PERM.INP. STAT3872 THEN DETERMINES THE SUM OF THE PROBABILITY WEIGHTS OF THE ELEMENTS IN EACH ONE OF THE PERMUTATIONS IN PERM.INP, AS WELL AS THE PRODUCT OF THE PROBABILITY SUM, OVER THE K0 PERMUTATIONS. RESULTS ARE SUMMARIZED AND RECORDED IN STAT3872.OUT. ========================================================================= -- L 3873 -- ( DETERMINING PAIRS OF SUCCESSIVE ELEMENTS WITH PROBABILITY WEIGHTS DIFFERING BY, AT MOST, A REAL VALUE, V0 , SELECTED BY THE ANALYST IN REAL TIME ) STAT3873 READS AN L0-ELEMENT SEQUENCE OF PROBABILITY WEIGHTS OF ELEMENTS IN WT(L).INP ON < 1, ... , L0 >, GEN. BY STAT3490/3860/3246 , WITH ASSUMED TO BE LISTED ONLY IN DESCENDING ORDER OF MAGNITUDE. STAT3873 THEN DETERMINES PAIRS OF SUCCESSIVE ELEMENTS HAVING PROBABILITY WEIGHTS DIFFERING BY, AT MOST, A REAL VALUE, V0, SELECTED BY THE ANALYST IN REAL TIME. PAIRS OF QUALIFYING ELEMENTS ARE RECORDED IN STAT94.INP FOR FURTHER ANALYSIS. ========================================================================= -- L 3874 -- ( DETERMINING TRIADS OF SUCCESSIVE ELEMENTS WITH PROBABILITY WEIGHTS DIFFERING BY, AT MOST, A REAL VALUE, V0 , SELECTED BY THE ANALYST IN REAL TIME ) ( TRIAD VARIANT OF STAT3873 ) STAT3874 READS AN L0-ELEMENT SEQUENCE OF PROBABILITY WEIGHTS OF ELEMENTS IN WT(L).INP ON < 1, ... , L0 >, GEN. BY STAT3490/3860/3246 , WITH ASSUMED TO BE LISTED ONLY IN DESCENDING ORDER OF MAGNITUDE. STAT3874 THEN DETERMINES TRIADS OF SUCCESSIVE ELEMENTS HAVING PROBABILITY WEIGHTS DIFFERING BY, AT MOST, A REAL VALUE, V0, SELECTED BY THE ANALYST IN REAL TIME. TRIADS OF QUALIFYING ELEMENTS ARE RECORDED IN STAT94.INP FOR FURTHER ANALYSIS. ========================================================================= -- L 3875 -- MONITOR MATRIX GENERATOR XXXXXXXXXXXX FREQUENCY COUNTS FOR ELEMENTS IN EVENTS FROM A SEQUENCE OF K0-ELEMENT EVENTS ( TEST EVENT VERSION OF STAT3870 ) ( CASES: K0 = 2 , ... , 6 ) ( SCALED PRODUCTS OF WEIGHTS OF ELEMENTS PER 5 OR 6-ELEMENT TEST EVENT ) ( UTILIZING PRE-DETERMINED BINOMIAL OR GEOMETRIC PROBABILITY DISTRIBUTION TO DETERMINE PROBABILITIES ) STAT3875 READS AN L0-ELEMENT SEQUENCE OF PROBABILITIES/WEIGHTS OF ELEMENTS IN WT(L).INP ON < 1, ... , L0 >, GEN. BY STAT3860/3246 , READS A LARGE SEQUENCE OF K0-ELEMENT EVENTS FROM STAT3875.INP, AND RANKS THE EVENTS IN DESCENDING ORDER OF SCALED PRODUCTS OF WTS. OF ELEMENTS OVER ALL OF THE COLUMNS < 1, ... , K0 >. STAT3875 IS A K0-ELEMENT EVENT VARIANT OF THE PERMUTATION VERSION (STAT3870). K0-ELEMENT TEST EVENTS FROM STAT3875.INP, RATHER THAN SUBSTRINGS FROM A PERM.INP ARE ANALYZED. A PRODUCT OF ELEMENT PROBABILITIES PER EVENT, WITHIN A DESIRED RANGE [ S1,S2 ], IS SELECTED IN REAL-TIME BY THE ANALYST. ========================================================================= -- L 3876 -- MONITOR MATRIX GENERATOR XXXXXXXXXXX FREQUENCY COUNTS FOR ELEMENTS IN A FIXED BLOCK OF K0ELEMNT EVENTS WITH CORRESPONDING WEIGHT PRODUCTS ( VARIANT OF STAT3870 ) ( CASE : K0 = 5 or 6 ) ( SCALED SUMS OF PRODUCTS OF WTS OF ELEMENTS PER 6-ELEMENT TEST EVENT ) ( UTILIZING PRE-DETERMINED BINOMIAL OR GEOMETRIC PROBABILITY DISTRIBUTION TO DETERMINE PROBABILITIES ) STAT3876 READS A SEQUENCE OF BMAX K0-ELEMENT EVENTS FROM STAT3876.INP, ALONG WITH THEIR CORRESPONDING PRODUCTS OF ELEMENT WEIGHTS OVER K0 ELEMENTS PER EVENT, PREVIOUSLY GENERATED VIA STAT3870 OR STAT3875). THE ROUTINE SELECTS A SEQUENCE OF 5-ROW INDICES FROM STAT3876.INP TO TACITLY DETERMINE 5-PARTITE EVENT QUINTUPLES OVER THE BMAX ROWS OF STAT3876.INP. THE SUM OF THE PRODUCTS OF ELEMENT WEIGHTS FOR EACH 5-PARTITE GROUP OF INDICES FROM STAT3876.INP IS DETEMINED AND THE 5-PARTITE INDEX GROUPS ARE RANKED IN DESCENDING ORDER OF SUMS OF THE PRODUCTS OF WEIGHTS PER GROUP FOR SOME DESIRED RANGE OF SUMS, [ S1,S2 ], SELECTED IN REAL-TIME BY THE ANALYST AND RECORED IN STAT94.INP FOR FURTHER ANALYSIS IN STAT3877 AS STAT3877.INP. ========================================================================= -- L 3877 -- ( GENERATING HIGH-PROBABILITY K0-ELEMENT EVENTS FROM JUDICIOUS INDEX SETS AND A FIXED (BMAX x K0)-DIMENSIONAL BLOCK OF EVENTS ) STAT3877 READS A SEQUENCE OF BMAX K0-ELEMENT EVENTS FROM STAT3877.INP, GENERATED VIA STAT3876 AS STAT3877.INP, ALONG WITH A SEQUENCE OF Q0-ELEMENT INDEX SETS IN STAT3877.IN2, RECORDED IN STAT3876. THE ROUTINE SELECTS A SEQUENCE OF 5-ROW INDICES FROM STAT3877.INP TO TACITLY DETERMINE 5-PARTITE EVENT QUINTUPLES OVER THE BMAX ROWS OF STAT3877.INP. GENERATED K0-ELEMENT TEST EVENTS ARE RECORDED IN STAT94.INP FOR FURTHER ANALYSIS. CF. STAT3876 AND STAT3875. ========================================================================= -- L 3878 -- MONITOR MATRIX GENERATOR XXXXXXXXXXX FREQUENCY COUNTS FOR ELEMENTS IN A FIXED BLOCK OF K0ELEMNT EVENTS WITH CORRESPONDING WEIGHT PRODUCTS ( VARIANT OF STAT3876 ) ( CASE : K0 = 5 or 6 ) ( SCALED SUMS OF PRODUCTS OF WTS OF ELEMENTS PER 6-ELEMENT TEST EVENT ) ( UTILIZING PRE-DETERMINED BINOMIAL OR GEOMETRIC PROBABILITY DISTRIBUTION TO DETERMINE PROBABILITIES ) STAT3878 READS A SEQUENCE OF BMAX K0-ELEMENT EVENTS FROM STAT3878.INP, ALONG WITH THEIR CORRESPONDING PRODUCTS OF ELEMENT WEIGHTS OVER K0 ELEMENTS PER EVENT, PREVIOUSLY GENERATED VIA STAT3870 OR STAT3875). THE ROUTINE SELECTS A SEQUENCE OF 10-ROW INDICES FROM STAT3878.INP TO TACITLY DETERMINE 10-PARTITE EVENT QUINTUPLES OVER THE BMAX ROWS OF STAT3878.INP. THE SUM OF THE PRODUCTS OF ELEMENT WEIGHTS FOR EACH 10-PARTITE GROUP OF INDICES FROM STAT3878.INP IS DETEMINED AND THE 10-PARTITE INDEX GROUPS ARE RANKED IN DESCENDING ORDER OF SUMS OF THE PRODUCTS OF WEIGHTS PER GROUP FOR SOME DESIRED RANGE OF SUMS, [ S1,S2 ], SELECTED IN REAL-TIME BY THE ANALYST AND RECORED IN STAT94.INP FOR FURTHER ANALYSIS IN STAT3877 AS STAT3877.INP. ========================================================================= -- L 3879 -- MONITOR MATRIX GENERATOR XXXXXX FREQUENCY COUNTS FOR ELEMENTS IN A LARGE SEQUENCE OF K0-ELEMENT EVENTS VI ( VARIANT OF STAT3269 FOR GENERATION OF STAT3260.INP ) ( UTILIZING A BINOMIAL PROBABILITY DISTRIBUTION FOR STAT3260 ) READS A LARGE SET OF K0-ELEMENT EVENTS FROM STAT3879.INP, A K0-ELEMENT TRANSLATION VECTOR FROM STAT3879.IN2 AND COMPARES THE LARGE SET OF K0-ELEMENT EVENT BLOCKS WITH A FINITE BASE SET OF ELEMENTS, DETERMINES THE NUMBER OF ELEMENTS IN EACH EVENT PER BMAX-EVENT BLOCK IN VS. THE BASE SET, DETERMINES THE RELATIVE FREQUENCIES AND SUM OF RELATIVE FREQUENCIES OF COMMON ELEMENTS FOR COMPARISON, AND GENERATES A MONITOR MATRIX REFLECTING THE PATTERNS OF MATCHES FROM THE ABOVE SEQUENCE OF BASE SETS. STAT3879 IS A VARIANT STAT3269 AND TACITLY ANALYZES K0-ELEMENT TEST EVENTS RATHER THAN PERMUTATIONS, WITH EVENTS FILTERED FROM SUB-BLOCKS OF SIZE BMAX. HOWEVER, STAT3879 DOES NOT DETERMINE PROBABILITIES. INSTEAD, IT GENERATES (0,1)-BINARY SEQUENCES FOR EACH TEST EVENT TO BE UTILIZED AS STAT3260.INP FOR DETEMINING BINARY PROBABILITIES: PROBABILITY OF HAVING AN INTERSECTION CARDINALITY IN THE INTERVAL [ M1,M2 ] VS. THE SEQUENCE OF STAR EVENTS IS IN SOME INTERVAL [ Q1,Q2 ]. CF. STAT3260. ========================================================================= -- L 3880 -- MONITOR MATRIX GENERATOR XXXXXXXXXX FREQUENCY COUNTS FOR ELEMENTS IN EITHER 5- or 6-ELEMENT EVENTS FROM A FIXED V0-ELEMENT PERMUTATION ( VARIANT OF STAT3870 AND PERMUTATION VERSION OF STAT3875/STAT3723 ) ( PERMUTATION VERSION OF STAT3641 , STAT3642, AND STAT3647 ) (VARIANT OF STAT3639, STAT3638, STAT3419, STAT3469, STAT3487, STAT3491) ( CASE : K0 = 5 or 6 ) ( SCALED PRODUCTS OF WEIGHTS OF ELEMENTS PER 6-ELEMENT TEST EVENT ) ( UTILIZING PRE-DETERMINED BINOMIAL OR GEOMETRIC PROBABILITY DISTRIBUTION TO DETERMINE PROBABILITIES ) STAT3880 READS A ( K0 x EUNUM(I) )-DIMENSIONAL BLOCK FROM PERM.INP, GENERATING ALL [ n C k0 ] k0-ELEMENT EVENTS FROM PERM.INP, WHERE THE ELEMENTS OF PERM.INP MAY BE GENERATED VIA STAT3250 OR STAT3246. ELEMENTS ARE EXTRACTED OVER EACH ONE OF K0 SEPARATE COLUMNS, TACITLY GENERATING A COMPLETE SET OF 6-ELEMENT EVENTS OVER THE K0 ROWS. STAT3880 IS A VARIANT OF STAT3870, READING A FIXED PERM FROM PERM.INP AND COMPARING EACH GENERATED K0-ELEMENT EVENT WITH A FINITE BASE SET OF STAR EVENTS, DETERMINES THE NUMBER OF ELEMENTS IN EACH EVENT PER 1-EVENT BLOCK IN VS. THE BASE SET, DETERMINES THE RELATIVE FREQUENCIES AND SUM OF RELATIVE FREQUENCIES OF COMMON ELEMENTS FOR COMPARISON, AND GENERATES A MONITOR MATRIX REFLECTING THE PATTERNS OF MATCHES FROM THE ABOVE SEQUENCE OF BASE SETS. STAT3850 IS A VARIANT STAT1030 AND STAT3149, ANALYZING K0-ELEMENT TEST EVENTS STAT3880 DETERMINES ALL [ V0 CHOOSE K0 ] K0-ELEMENT TEST EVENTS, AND RANKS THE EVENTS IN DESCENDING ORDER OF SCALED PRODUCTS OF WTS. OF ELEMENTS OVER ALL OF THE COLUMNS < 1, ... , K0 >. STAT3880 IS A VARIANT OF STAT3868 AND STAT3641 AND STAT3247, ANALYZING 3-ELEMENT SUBSTRINGS FROM PERM.INP, RATHER THAN K0-ELEMENT TEST EVENTS FROM STAT3880.INP. A PRODUCT OF ELEMENT PROBABILITIES PER EVENT, WITHIN A DESIRED RANGE [ S1,S2 ] IS SELECTED IN REAL-TIME BY THE ANALYST. ========================================================================= -- L 3881 -- RANKS EVENTS GENERATED FROM STAT3260 AS STAT3881.INP IN DESCENDING ORDER OF PROBABILITY OF OCCURRING ON THE NEXT STAR EVENT TRIAL STAT3881 READS A SEQUENCE OF K0-ELEMENT EVENTS IN STAT3881.INP, PREVIOUSLY GENERATED VIA STAT3260 AS STAT3881.INP AND RANKS THE EVENTS IN DESCENDING ORDER OF PROBABILITY OF OCCURRING ON THE NEXT STAR EVENT TRIAL, RECORDING THEM IN STAT3881.OUT. ========================================================================= -- L 3882 -- ( GENERATING AND EXTRACTING THE HIGHEST RANKING ELEMENTS VIA THE PROBABILITY WEIGHTS IN EACH ONE OF THE K0-COLUMNS OF A GIVEN (BMAX x K0)-DIMENSIONAL BLOCK OF TEST EVENTS ) STAT3882 READS AN L0-ELEMENT SEQUENCE OF PROBABILITIES/WEIGHTS OF ELEMENTS IN WT(L).INP ON < 1, ... , L0 >, GEN. BY STAT3860/3246, READS A (BMAX x K0)-DIMENSIONAL BLOCK OF K0-ELEMENT EVENTS FROM STAT3882.INP, SORTS THE ELEMENT WEIGHTS OF EACH COLUMN, RANKING THEM IN DESCENDING ORDER OF MAGNITUDE, AND GENERATES A K0-ELEMENT VECTOR CONSISTING OF THE HIGHEST RANKING ELEMENT OF EACH ONE OF THE K0-COLUMNS, RECORDING EACH VECTOR IN THE CUMULATIVE FILE, CUMULAT.OUT FOR FURTHER USAGE, WITH BMAX .LE. 1000. ========================================================================= -- L 3883 -- ( GENERATING AND EXTRACTING THE HIGHEST RANKING ELEMENTS VIA VIA THE PROBABILITY WEIGHTS IN EACH ONE OF THE K0-COLUMNS OF A GIVEN (BMAX x K0)-DIMENSIONAL BLOCK OF TEST EVENTS ) II ( CYCLICAL BLOCK VARIANT OF STAT3882 ) STAT3883 READS AN L0-ELEMENT SEQUENCE OF PROBABILITIES/WEIGHTS OF ELEMENTS IN WT(L).INP ON < 1, ... , L0 >, GEN. BY STAT3860/3246, READS A SEQUENCE OF NBLOCKS (BMAX x K0)-DIMENSIONAL SUB-BLOCKS OF K0-ELEMENT EVENTS FROM STAT3883.INP, SORTING THE ELEMENT WEIGHTS OF EACH SUB-BLOCK OVER EACH ONE OF K0 COLUMNS, RANKING THEM IN DESCENDING ORDER OF MAGNITUDE, AND GENERATING K0-ELEMENT VECTORS CONSISTING OF THE HIGHEST RANKING ELEMENT OF EACH ONE OF THE K0-COLUMNS, RECORDING EACH VECTOR IN THE CUMULATIVE FILE, CUMULAT.OUT FOR FURTHER USAGE, WITH BMAX .LE. 1000. CF. STAT3882. SPECIAL NOTE: THE FILE BASE.INP MAY BE UTILIZED AS STAT3883.INP FOR ANALZING STAR EVENTS, AS OPPOSED TO ANY OTHER BLOCK OF RANDOM EVENTS. MOREOVER, THE TOP K SELECTED EVENTS FROM STAT94.INP, GENERATED VIA STAT3870 MAY ALSO BE UTILIZED AS STAT3883.INP FOR ANALYZING STAR EVENTS. ========================================================================= -- L 3884 -- MONITOR MATRIX GENERATOR XXXXXXXXXX FREQUENCY COUNTS FOR ELEMENTS IN EITHER K0-ELEMENT EVENTS FROM A FIXED V0-ELEMENT PERMUTATION ( SUB-STRING SIZE = 1, 2, 4, 5, or 6 from PERM.INP ) ( VARIANT OF STAT3870 ) ( PERMUTATION VERSION OF STAT3641 , STAT3642, AND STAT3647 ) (VARIANT OF STAT3870, STAT3638, STAT3419, STAT3469, STAT3487, STAT3491) ( SCALED PRODUCTS OF WEIGHTS OF ELEMENTS PER 6-ELEMENT TEST EVENT ) ( UTILIZING PRE-DETERMINED BINOMIAL OR GEOMETRIC PROBABILITY DISTRIBUTION TO DETERMINE PROBABILITIES ) STAT3884 READS AN L0-ELEMENT SEQUENCE OF PROBABILITIES/WEIGHTS OF ELEMENTS IN WT(L).INP ON < 1, ... , L0 >, GEN. BY STAT3860/3246 , READS A V0-ELEMENT PERMUTATION FROM PERM.INP ON THE ELEMENTS IN PERM.INP, DETERMINES ALL [ V0 CHOOSE K0 ] K0-ELEMENT TEST EVENTS, AND RANKS THE EVENTS IN DESCENDING ORDER OF SCALED PRODUCTS OF WTS. OF ELEMENTS OVER ALL OF THE COLUMNS < 1, ... , K0 >. STAT3884 IS A VARIANT OF STAT3870 AND STAT3641 AND STAT3247, ANALYZING K0-ELEMENT SUBSTRINGS FROM PERM.INP, RATHER THAN K0-ELEMENT TEST EVENTS FROM STAT3884.INP, WHERE SUB-STRINGS ARE SELECTIVELY IN {1, 2, 3, 4, 5, 6 }. FROM PERM.INP. A PRODUCT OF ELEMENT PROBABILITIES PER EVENT, WITHIN A DESIRED RANGE [ S1,S2 ] IS SELECTED IN REAL-TIME BY THE ANALYST. ========================================================================= -- L 3885 -- ( RANKING THE K0 ELEMENTS OF EACH EVENT IN A ( BMAX x K0 ) - DIMENSIONAL BLOCK OF EVENTS IN DESCENDING ORDER OF WEIGHTS OF ELEMENTS PER EVENT ) STAT3885 READS AN L0-ELEMENT SEQUENCE OF PROBABILITIES/WEIGHTS OF ELEMENTS IN WT(L).INP ON < 1, ... , L0 >, GEN. BY STAT3860/3246 , READS A ( BMAX x K0 )-DIMENSIONAL BLOCK OF EVENTS FROM STAT3885.INP AND RANKS THE K0 ELEMENTS OF EACH EVENT IN DESCENDING ORDER OF WEIGHTS OF ELEMENTS PER EVENT, FOR A SELECTED SUB-STRING SIZE. RANKED SUB-STRINGS ARE RECORDED IN STAT3885.OUT AND STAT3885.OT2 FOR FURTHER ANALYSIS. EVENTS FROM BASE.INP OR ANOTHER SOURCE MAY BE UTILIZED AS STAT3885.INP. ========================================================================= -- L 3886 -- ( EXTRACTING UNIQUE, NON-REPEATING K0-ELEMENT STRING EVENTS FROM A GIVEN ( BMAX x K0 ) - DIMENSIONAL BLOCK OF EVENTS , WHERE K0 LIES IN { 1 2, 3, ... , 6 } ) STAT3886 READS A ( BMAX x K0 ) - DIMENSIONAL BLOCK OF EVENTS FROM STAT3886.INP AND EXTRACTS INTO STAT3886.OUT A SEQUENCE OF CMAX UNIQUE OR NON-REPEATING STRINGS. ========================================================================= -- L 3887 -- ( RANKING THE Q0 ELEMENTS OF EACH PERM IN A ( BMAX x Q0 ) - DIMENSIONAL BLOCK OF PERMS IN DESCENDING ORDER OF WEIGHTS OF ELEMENTS PER EVENT ) ( VARIANT AND PERMUTATION VERSION OF STAT3885 ) STAT3887 READS AN L0-ELEMENT SEQUENCE OF PROBABILITIES/WEIGHTS OF ELEMENTS IN WT(L).INP ON < 1, ... , L0 >, GEN. BY STAT3860/3246 , READS A ( BMAX x Q0 )-DIMENSIONAL BLOCK OF PERMUTATIONS FROM PERM.INP AND RANKS THE K0 ELEMENTS OF EACH EVENT IN DESCENDING ORDER OF WEIGHTS OF ELEMENTS PER PERM, FOR A SELECTED SUB-STRING SIZE. RANKED SUB-STRINGS ARE RECORDED IN STAT3889.OUT AND STAT3889.OT2 FOR FURTHER ANALYSIS. EVENTS FROM BASE.INP OR ANOTHER SOURCE MAY BE UTILIZED AS STAT3887.INP. A K0-ELEMENT TEST EVENT, < T(J),J= 1, ..., ICT > , IS GENERATED AND RECORDED IN STAT94.INP, CONSISTING OF THE HIGHEST RANKING ELEMENT BY PROBABILITY/WEIGHT FOR EACH OF THE ICT SUB-PERMUTATIONS PROCESSED FROM PERM.INP. CF. STAT3885. STAT3887 IS A VARIANT AND PERMUTATION VERSION OF STAT3885. ========================================================================= -- L 3888 -- ( RE-ARRANGING A GIVEN L0 ELEMENT PERMUTATION AS A UNION OF K0 Q0-ELEMENT PERMUTATIONS OVER THE SAME EXACT ELEMENTS FOR UTILIZATION AS PERM.INP IN STAT3887 ) STAT3888 READS AN L0-ELEMENT PERMUATION FROM PERM.INP, GENERATED AS PERM2.OUT (IN STAT3246 OR ANOTHER ROUTINE) AND RE-ARRANGES THE L0 ELEMENTS AS AS A UNION OF K0 Q0-ELEMENT PERMUTATIONS OVER THE SAME EXACT ELEMENTS, RECORDED IN STAT3888 AS PERM.OUT FOR UTILIZATION AS PERM.INP IN STAT3887. ========================================================================= -- L 3889 -- ( RE-ARRANGING A ( BMAX x K0 )-DIMENSIONAL BLOCK OF ELEMENTS AS A SEQUENCE OF K0 F(M)-ELEMENT PERMUTATIONS OF UNIQUE ELEMENTS FOR M = 1, 2, ... , K0 ) STAT3889 READS A ( BMAX x K0 )-DIMENSIONAL BLOCK OF ELEMENTS FROM STAT3889.INP (E.G., STAR EVENTS FROM BASE.INP) AND RE-ARRANGES THE BLOCK AS A SEQUENCE OF K0 F(M)-ELEMENT PERMUTATIONS OF UNIQUE ELEMENTS, RECORDED IN STAT3889 AS PERM.INP FOR UTILIZATION AS PERM.INP IN STAT3841. PERM.INP/STAT3889 ---> PERM.INP/STAT3841. BASE.INP/STAT3889 ---> STAT3889.INP. ========================================================================= -- L 3890 -- MONITOR MATRIX GENERATOR AND NEGATIVE-BINARY PDF PREDICTOR FOR A ( BMAX x K0 )-DIMENSIONAL BLOCK OF (0,1)-BINARY ELEMENTS ( PROBABILITY THAT ELEMENT 1 OCCURS IN THE NEXT STAR EVENT VIA A NEGATIVE-BINOMIAL DISTRIBUTION FUNCTION OVER EACH ONE OF K0 SEPARATE COLUMNS FOR A BLOCK OF ELEMENTS ) ( NEGATIVE-BINOMIAL DISTRIBUTION VARIANT OF STAT3250 ) STAT3890 READS A ( BMAX x K0 )-DIMENSIONAL BLOCK OF (0,1)-BINARY ELEMENTS FROM STAT3890.INP, ( GENERATED, E.G., VIA STAT3436 ), AND DETERMINES, FOR EACH ONE OF K0 SEPARATE COLUMNS, THE PROBABILITY THAT THE ELEMENT 1 WILL OCCUR ON THE NEXT TRIAL ( TRIAL BMAX+1 ), UTILIZING A NEGATIVE-BINOMIAL PDF OVER EACH SEPARATE COLUMN. PROBABILITIES ARE RECORDED AND COMPARED IN BOTH STAT3890.OUT AND STAT3890.OT2 FOR FURTHER ANALYSIS AND USAGE IN OTHER ROUTINES. STAT3890 THUS ALLOWS FOR THE ANALYSIS OF A LARGE CLASS OF GENERIC PROPERTIES AS REQUIRED BY THE ANALYST. CF. ALSO STAT3260, STAT3858, STAT3860, STAT3870, STAT3875, ET AL. ========================================================================= -- L 3891 -- MONITOR MATRIX GENERATOR XXIX FREQUENCY COUNTS FOR A SEQUENCE OF ELEMENTS < 1 , 2, ... , L0 > VS. A SEQUENCE OF STAR EVENTS ( VARIANT OF STAT3860 WITH THE NUMBER OF TRIALS = L1NDX = IMAX ) ( PROBABILITY THAT ELEMENT L OCCURS IN THE NEXT STAR EVENT VIA A NEGATIVE-BINOMIAL DISTRIBUTION FUNCTION OVER A STRING OF SEPARATE COLUMNS ) ( NEGATIVE-BINOMIAL DISTRIBUTION VARIANT OF STAT3246, RESTRICTED TO A SELECTED COLUMN STRING [ C1,C2 ] in { 1, 2, ... , K0 } ) READS A SEQUENCE OF IMAX STAR EVENTS ON THE ELEMENTS ON THE ELEMENTS IN T = < 1, 2, ... , L0 > DETERMINES A (0,1) - OCCURRENCE MATRIX FOR EACH OF THE L0 ELEMENTS OF THE SET T, THE RELATIVE FREQUENCY OF EACH ELEMENT IN T, AND DETERMINES A PROJECTED SEQUENCE OF TRANSLATION VECTORS IN PERM.INP, WHICH ARE HIGHLY LIKELY TO OCCUR IN THE NEXT K0-ELEMENT STAR EVENT OF BASE.INP. STAT3891 IS A VARIANT OF STAT3246, ANALYZING L0 ELEMENTS IN STAR EVENTS OVER EACH ONE OF K0 SEPARATE COLUMNS VS. THE BASE SET OF STAR EVENTS, BUT FILTERING STAR ELEMENTS, BASED UPON THE NEG-BINOMIAL PROBAILITY DISTRIBUTION DETERMINING THE Pr(EACH ELEMENT L WILL OCCUR FOLLOWING THE FINAL STAR EVENT). A DETERMINED THRESHOLD VALUE, M0, BASED UPON STAR EVENT INDEXES. STAT3891 READS UP TO 100 STAR EVENTS IN BASE.INP AND ANALYZES ELEMENTS IN THE RANGE < 1, ... , L0 >, WHERE THE MAXIMUM VALUE OF L0 IS 54. CF. ALSO STAT893, STAT894, STAT899, AND STAT933. VS. THE BASE SET OF STAR EVENTS, BUT FILTERING STAR ELEMENTS, BASED UPON WHETHER OR NOT THE INDEX OF STAR EVENT (IMAX+1-M0) IS CONGRUENT TO 0 (MOD KCT), WHERE M0 IS THE STAR INDEX OF THE FIRST OCCURRING ELEMENT 1 IN THE (0,1) - OCCURRENCE MATRIX AND KCT IS THE NUMBER OF ELAPSED EVENTS PER OCCURRENCE OF A 1 IN THE (0,1) - OCCURRENCE MATRIX FOR EACH OF THE L0 STAR ELEMENTS. M1 IS THE DESIRED THRESHOLD VALUE FOR INDEXES: M1 (MOD KCT). STAT3891 READS UP TO 100 STAR EVENTS IN BASE.INP AND ANALYZES ELEMENTS IN THE RANGE < 1, ... , L0 >, WHERE THE MAXIMUM VALUE OF L0 IS 54. CF. ALSO STAT893, STAT894, STAT899, AND STAT933. STAT3891 IS A VARIANT OF STAT934, BUT UTILIZES A DIFFERENT ALGORITHMIC TECHNIQUE FOR DETERMINING HIGH-PROBABILITY ELEMENTS. SIGNIFICANTLY, STAT3891 GENERATES PERM.OUT AND PERM2.OUT FOR PROCESSING AS PERM.INP IN STAT543, STAT3011, STAT3012, STAT3013, STAT3121. AND STAT3122. A Q0-ELEMENT VECTOR OF TRANSLATION ELEMENTS IS READ FROM PERM.INP AND COMPARED TO D(L) FOR EACH L, WHERE D(L) = 1000 * PROBABILITY THAT ELEMENT L WILL OCCUR IN EVENT IMAX+1, IMMEDIATELY SUCCEEDING THE FINAL STAR EVENT. ( FROM PERM.INP, SHRINKS THE DIMENSION OF THE INPUT PERMUTATION BY APPROX. 1/2 BY SELECTING EITHER ALL ODD OR ALL EVEN PERMUTATION ELEMENT INDICES AND RECORDING THE OUTPUT INDEX PERMUTATION AS PERM.OUT FOR UTILIZATION AS INDICES IN PERM.INP IN STAT3894 OR ANOTHER ROUTINE. A CUMULATIVE FILE OF SUB-PERMUTATION INDICES IS RECORDED IN STAT3893.OUT. ========================================================================= -- L 3894 -- ( GENERATING A PAIR OF NEW K0-ELEMENT EVENTS FROM A FIXED PAIR OF K0-ELEMENT EVENTS BY TACITLY INTERCHANGING SELECTED PAIRS OF ELEMENTS AND SELECTED PAIRS OF UNITS AND/OR TENS DIGITS BETWEEN THE INITIAL PAIR OF K0-ELEMENT EVENTS ) STAT3894 READS A FIXED PAIR OF K0-ELEMENT EVENTS FROM STAT3894.INP AND TACITLY INTERCHANGES SELECTED PAIRS OF ELEMENTS AND SELECTED PAIRS OF UNITS AND/OR TENS DIGITS FROM THE INITIAL PAIR OF EVENTS. A QUADRUPLE OF K0-ELEMENT EVENTS IS AND RECORDED IN STAT3894.OUT, WHICH IS FURTHER PROCESSED IN STAT2803 AS STAT2803.INP. CF. STAT3860 FOR THE GENERATION OF STAT94.IN2 AS AN ADDITIONAL QUALIFIED EVENT FOR STAT3894.OUT, WITH THE TOP K0 RANKING P_RATIOS. ========================================================================= -- L 3895 -- ( STAT3895 DETERMINES THE PROBABILITY THAT AN ARBITRARY EVENT IN AN IMAX-ELEMENT SEQUENCE WILL HAVE A SUCCESS PRECISELY ON TRIAL # IMAX+1, FOLLOWING THE FINAL TRIAL SINCE THE OCCURRENCE OF THE LAST SUCCESS OVER IMAX STAR EVENT INDICES VIA EITHER ONE OF A NEGATIVE BINOMIAL, GEOMETRIC, OR POISSON PROBABILITY DISTRIBUTION ) ( VARIANT OF STAT3260 ) READS A SEQUENCE OF IMAX BINARY-VALUED ELEMENTS, REPRESENTING OCCURRENCE VS. NON-OCCURRENCE OF EACH EVENT IN A SEQUENCE, TO DETERMINE THE PROBABILITY OF OCCURRENCE OF THE EVENT ON THE NEXT SUCCESSIVE TRIAL BY DETERMINING THE PROBABILITY THAT THE EVENT WILL HAVE ITS Kth SUCCESS ON TRIAL # IMAX+1, THE FINAL TRIAL, UTILIZING A GEOMETRIC PROBABILITY DISTRIBUTION, RATHER THAN A NEGATIVE-BINOMIAL DISTRIBUTION. STAT3895 ALSO DETERMINES THE ODDS IN FAVOR OF EACH EVENT E AND THE ODDS AGAINST THE OCCURRENCE OF E. CF. STAT3410, STAT3409, AND STAT3413 FOR FURTHER ANALYSIS. CF. STAT3436 FOR THE GENERATION OF STAT3895.INP OVER 6 DISTINCT COLUMNS AS EITHER STAT3895.IN1, STAT3895.IN2, STAT3895.IN3, STAT3895.IN4, STAT3895.IN5, OR STAT3895.IN6 FOR COLUMNS 1-6, RESPECTIVELY. STAT3895 IS A VARIANT OF STAT3318. CF. ALSO STAT3488, STAT3262, STAT3246 AND STAT3494. THREE DISTINCT PROBABILITY DISTRIBUTIONS ARE FEATURED IN STAT3895: NAMELY, NEGATIVE BINOMIAL, GEOMETRIC AND POISSON DISTRIBUTIONS. STAT3895 IS A VARIANT OF STAT3608. CF. STAT3879 FOR THE JUDICIOUS GENERATION OF STAT3895.INP. CF. ALSO THE VARIANT, STAT3260. ========================================================================= -- L 3896 -- MONITOR MATRIX GENERATOR XXXX FREQUENCY COUNTS FOR A SEQUENCE OF ELEMENTS < 1 , 2, ... , L0 > VS. A SEQUENCE OF STAR EVENTS ( VARIANT OF STAT3891 WITH THE NUMBER OF TRIALS = L1NDX = IMAX AND WT(L) = NEGATIVE-BINOMIAL PROBABILITY OF L FOR L = 1, 2, 3, ... , L0 ) ( PROBABILITY THAT ELEMENT L OCCURS IN THE NEXT STAR EVENT VIA A NEGATIVE-BINOMIAL DISTRIBUTION FUNCTION OVER A STRING OF SEPARATE COLUMNS ) ( NEGATIVE-BINOMIAL DISTRIBUTION VARIANT OF STAT3246, RESTRICTED TO A SELECTED COLUMN STRING [ C1,C2 ] in { 1, 2, ... , K0 } ) READS A SEQUENCE OF IMAX STAR EVENTS ON THE ELEMENTS ON THE ELEMENTS IN T = < 1, 2, ... , L0 > DETERMINES A (0,1) - OCCURRENCE MATRIX FOR EACH OF THE L0 ELEMENTS OF THE SET T, THE RELATIVE FREQUENCY OF EACH ELEMENT IN T, AND DETERMINES A PROJECTED SEQUENCE OF TRANSLATION VECTORS IN PERM.INP, WHICH ARE HIGHLY LIKELY TO OCCUR IN THE NEXT K0-ELEMENT STAR EVENT OF BASE.INP. STAT3896 IS A VARIANT OF STAT3246, ANALYZING L0 ELEMENTS IN STAR EVENTS OVER EACH ONE OF K0 SEPARATE COLUMNS VS. THE BASE SET OF STAR EVENTS, BUT FILTERING STAR ELEMENTS, BASED UPON THE NEG-BINOMIAL PROBAILITY DISTRIBUTION DETERMINING THE Pr(EACH ELEMENT L WILL OCCUR FOLLOWING THE FINAL STAR EVENT). A DETERMINED THRESHOLD VALUE, M0, BASED UPON STAR EVENT INDEXES. STAT3896 READS UP TO 100 STAR EVENTS IN BASE.INP AND ANALYZES ELEMENTS IN THE RANGE < 1, ... , L0 >, WHERE THE MAXIMUM VALUE OF L0 IS 54. CF. ALSO STAT893, STAT894, STAT899, AND STAT933. VS. THE BASE SET OF STAR EVENTS, BUT FILTERING STAR ELEMENTS, BASED UPON WHETHER OR NOT THE INDEX OF STAR EVENT (IMAX+1-M0) IS CONGRUENT TO 0 (MOD KCT), WHERE M0 IS THE STAR INDEX OF THE FIRST OCCURRING ELEMENT 1 IN THE (0,1) - OCCURRENCE MATRIX AND KCT IS THE NUMBER OF ELAPSED EVENTS PER OCCURRENCE OF A 1 IN THE (0,1) - OCCURRENCE MATRIX FOR EACH OF THE L0 STAR ELEMENTS. M1 IS THE DESIRED THRESHOLD VALUE FOR INDEXES: M1 (MOD KCT). STAT3896 READS UP TO 100 STAR EVENTS IN BASE.INP AND ANALYZES ELEMENTS IN THE RANGE < 1, ... , L0 >, WHERE THE MAXIMUM VALUE OF L0 IS 54. CF. ALSO STAT893, STAT894, STAT899, AND STAT933. STAT3896 IS A VARIANT OF STAT934, BUT UTILIZES A DIFFERENT ALGORITHMIC TECHNIQUE FOR DETERMINING HIGH-PROBABILITY ELEMENTS. SIGNIFICANTLY, STAT3896 GENERATES PERM.OUT AND PERM2.OUT FOR PROCESSING AS PERM.INP IN STAT543, STAT3011, STAT3012, STAT3013, STAT3121. AND STAT3122. A Q0-ELEMENT VECTOR OF TRANSLATION ELEMENTS IS READ FROM PERM.INP AND COMPARED TO D(L) FOR EACH L, WHERE D(L) = 1000 * PROBABILITY THAT ELEMENT L WILL OCCUR IN EVENT IMAX+1, IMMEDIATELY SUCCEEDING THE FINAL STAR EVENT. ( VS. A SEQUENCE OF STAR EVENTS II ( VARIANT OF STAT3891 WITH THE NUMBER OF TRIALS = L1NDX = IMAX AND WT(L) = P_RATIO = PROB / PP FOR L = 1, 2, 3, ... , L0 ) ( PROBABILITY THAT ELEMENT B(L,JK) OCCURS IN THE NEXT STAR EVENT VIA A NEGATIVE-BINOMIAL DISTRIBUTION FUNCTION OVER A STRING OF SEPARATE COLUMNS ) ( NEGATIVE-BINOMIAL DISTRIBUTION VARIANT OF STAT3246, RESTRICTED TO A SELECTED COLUMN STRING [ C1,C2 ] in { 1, 2, ... , K0 } ) READS A SEQUENCE OF IMAX STAR EVENTS ON THE ELEMENTS ON THE ELEMENTS IN T = < 1, 2, ... , L0 > DETERMINES A (0,1) - OCCURRENCE MATRIX FOR EACH OF THE L0 ELEMENTS OF THE SET T, THE RELATIVE FREQUENCY OF EACH ELEMENT IN T, AND DETERMINES A PROJECTED SEQUENCE OF TRANSLATION VECTORS IN PERM.INP, WHICH ARE HIGHLY LIKELY TO OCCUR IN THE NEXT K0-ELEMENT STAR EVENT OF BASE.INP. STAT3898 IS A VARIANT OF STAT3246, ANALYZING L0 ELEMENTS IN STAR EVENTS OVER EACH ONE OF K0 SEPARATE COLUMNS VS. THE BASE SET OF STAR EVENTS, BUT FILTERING STAR ELEMENTS, BASED UPON THE NEG-BINOMIAL PROBAILITY DISTRIBUTION DETERMINING THE Pr(EACH ELEMENT L WILL OCCUR FOLLOWING THE FINAL STAR EVENT). A DETERMINED THRESHOLD VALUE, M0, BASED UPON STAR EVENT INDEXES. STAT3898 READS UP TO 100 STAR EVENTS IN BASE.INP AND ANALYZES ELEMENTS IN THE RANGE < 1, ... , L0 >, WHERE THE MAXIMUM VALUE OF L0 IS 54. CF. ALSO STAT893, STAT894, STAT899, AND STAT933. VS. THE BASE SET OF STAR EVENTS, BUT FILTERING STAR ELEMENTS, BASED UPON WHETHER OR NOT THE INDEX OF STAR EVENT (IMAX+1-M0) IS CONGRUENT TO 0 (MOD KCT), WHERE M0 IS THE STAR INDEX OF THE FIRST OCCURRING ELEMENT 1 IN THE (0,1) - OCCURRENCE MATRIX AND KCT IS THE NUMBER OF ELAPSED EVENTS PER OCCURRENCE OF A 1 IN THE (0,1) - OCCURRENCE MATRIX FOR EACH OF THE L0 STAR ELEMENTS. M1 IS THE DESIRED THRESHOLD VALUE FOR INDEXES: M1 (MOD KCT). STAT3898 READS UP TO 100 STAR EVENTS IN BASE.INP AND ANALYZES ELEMENTS IN THE RANGE < 1, ... , L0 >, WHERE THE MAXIMUM VALUE OF L0 IS 54. CF. ALSO STAT893, STAT894, STAT899, AND STAT933. STAT3898 IS A VARIANT OF STAT934, BUT UTILIZES A DIFFERENT ALGORITHMIC TECHNIQUE FOR DETERMINING HIGH-PROBABILITY ELEMENTS. SIGNIFICANTLY, STAT3898 GENERATES PERM.OUT AND PERM2.OUT FOR PROCESSING AS PERM.INP IN STAT543, STAT3011, STAT3012, STAT3013, STAT3121. AND STAT3122. A Q0-ELEMENT VECTOR OF TRANSLATION ELEMENTS IS READ FROM PERM.INP AND COMPARED TO D(L) FOR EACH L, WHERE D(L) = 1000 * PROBABILITY THAT ELEMENT L WILL OCCUR IN EVENT IMAX+1, IMMEDIATELY SUCCEEDING THE FINAL STAR EVENT. ( . THE ROUTINE THEN READS A LARGE SEQUENCE OF K0-ELEMENT TEST EVENTS FROM STAT3900.INP AND FILTERS EACH TEST EVENT FOR WHICH THE PROBABILITY OF EACH ONE OF ITS ELEMENTS EXCEEDS SOME DESIRED MINIMUM PROBABILITY [ MINWT ] = Pr ( ELEMENT L OCCURS ON THE NEXT TRIAL (IMAX+1) ) IN ITS COLUMN, OVER ALL K0 COLUMNS < 1, ... , K0 >. STAT3900 IS A VARIANT OF STAT3901, ANALYZING K0-ELEMENT ELEMENT SUBSTRINGS FROM K0-ELEMENT TEST EVENTS OF STAT3900.INP, RATHER THAN PERMUTATIONS FROM PERM.INP. EVENTS ARE RANKED IN STAT94.INP IN DESCENDING ORDER OF SCALED SUMS OF WEIGHTS OVER THE K0 ELEMENTS PER EVENT. ========================================================================= -- L 3901 -- MONITOR MATRIX GENERATOR XXXXXXXXXX FREQUENCY COUNTS FOR ELEMENTS IN EITHER 5- or 6-ELEMENT EVENTS FROM A FIXED V0-ELEMENT PERMUTATION II ( TWO-DIMENSIONAL VERSION OF STAT3901.INP FOR STAT3870 ) ( PERMUTATION VERSION OF STAT3641 , STAT3642, AND STAT3647 ) (VARIANT OF STAT3639, STAT3638, STAT3419, STAT3469, STAT3487, STAT3491) ( CASE : K0 = 5 or 6 ) ( SCALED SUMS OF WEIGHTS OF ELEMENTS PER 6-ELEMENT TEST EVENT ) ( UTILIZING PRE-DETERMINED NEGATIVE-BINOMIAL PROBABILITY DISTRIBUTION TO DETERMINE PROBABILITIES ) STAT3901 READS AN ( IMAX x K0 )-DIMENSIONAL BLOCK OF PROBABILITIES OR WEIGHTS FROM WT(L).INP ( GENERATED BY STAT3250 AS STAT3258.IN2 ) FOR THE ELEMENTS IN < 1, ... , L0 >. THE ROUTINE THEN READS A V0-ELEMENT PERMUTATION FROM PERM.INP ON THE ELEMENTS RESIDING IN PERM.INP, DETERMINES ALL [ V0 CHOOSE K0 ] K0-ELEMENT TEST EVENTS, AND FILTERS EACH TEST EVENT FOR WHICH THE PROBABILITY OF EACH ONE OF ITS ELEMENTS EXCEEDS SOME DESIRED MINIMUM PROBABILITY [ MINWT ] = Pr ( ELEMENT L OCCURS ON THE NEXT TRIAL (IMAX+1) ) IN ITS COLUMN, OVER ALL K0 COLUMNS < 1, ... , K0 >. STAT3900 IS A VARIANT OF STAT3901, ANALYZING PERMUTATIONS FROM PERM.INP, RATHER THAN K0-ELEMENT TEST EVENTS FROM STAT3900.INP. TEST EVENTS ARE RANKED IN STAT94.INP IN DESCENDING ORDER OF SCALED SUMS OF WEIGHTS OVER THE K0 ELEMENTS PER EVENT. ========================================================================= -- L 3902 -- [ VARIANT OF STAT172 (RESTRICTED TO ONE SELECTED COLUMN ) ] II READS A SEQUENCE OF STAR EVENTS IN BASE.INP ON ELEMENTS ( 1 --> k ), DETERMINES THE MOST RECENT EVENT IN WHICH EACH ELEMENT HAS OCCURRED, THE NUMBER OF ELAPSED EVENTS SINCE EACH ELEMENT HAS OCCURRED ( # EVENTS SINCE LAST OCC), AND A THRESHOLD FOR THE NUMBER OF ELAPSED EVENTS PER OCCURRENCE OF EACH ELEMENT, RANKS THE ELEMENTS IN DESCENDING ORDER OF % OF OCC., PRINTS A TABLE REFLECTING THESE STATISTICS, AND FILTERS THOSE ELEMENTS FOR WHICH THE THRESHOLD vs. AVERAGE THRESHOLD AND THE # OF ELAPSED EVENTS SINCE THE LAST OCCURRENCE OF EACH ELEMENT vs. THE AVERAGE # OF ELAPSED EVENTS SINCE THE LAST OCCURRENCE OVER ALL ELEMENTS SATISFY BOUNDARY CONDITIONS, BACKING UP A DESIRED NUMBER OF EVENTS FROM AN ARBITRARY EVENT. ALL K0 COLUMNS ARE ANALYZED PER EVENT. ELEMENTS ARE ALSO FILTERED BASED UPON A DESIRED VECTOR OF PERCENTAGES OF OCCURRENCE PROVIDED BY THE ANALYST. SEEE ( L 262 ) FOR THE VERSION WHICH IS RESTRICTED TO A DESIRED SINGLE COLUMN. THE ANALYST IS QUERIED FOR A DESIRED RANGE OF INDEXES FOR WHICH RANKED HIGH-PROBABILITY ELEMENTS WILL BE OUTPUT TO THE FILE PERM.INP FOR FUTURE APPLICATIONS AND THIS PROCESSES IS CYCLICALLY REPEATED ANY DESIRED NUMBER OF TIMES. A FILE OF ELEMENT OCCURRENCE CADENCES IS GENERATED AND RECORDED IN PERM.INP FOR UTILIZATION IN STAT2948 AS PERM.INP. A SEQUENCE OF ELEMENTS L HAVING NDSLH(L) EXCEEDING THE COMPUTED OCCURRENCE CADENCE OF L IS RECORDED IN PERM.OUT FOR FURTHER ANALYSIS IN STAT543 OR A SIMILAR ROUTINE. MOREOVER, A SECOND SEQUENCE OF ELEMENTS L HAVING NDSLH(L) EXCEEDING THE LOWEST RANKING COMPUTED OCCURRENCE CADENCE OF A VALUE OF L IS IS ALSO RECORDED IN PERM.OUT FOR FURTHER ANALYSIS IN STAT543 OR A SIMILAR ROUTINE. ELEMENTS ARE RANKED IN DESCENDING ORDER OF GG(L) = DIST(L) - IPER(L), WHERE DIST(L) = # ELAPED STAR INDICES SINCE LAST OCCURRENCE OF L AND IPER(L) = OCCURRENCE CADENCE OF ELEMENT L FOR L = 1,...,L0 AND RECORDED IN PERM.OUT FOR FURTHER PROCESSING. CF. PERM3.OUT. STAT3902 IS A VARIANT OF STAT172, RESTRICTED TO A SINGLE SELECTED COLUMN FOR STAR EVENTS RECORDED IN BASE.INP. ========================================================================= -- L 3903 -- ( TRANSFORMING AN ( L0 x K0 ) - DIMENSIONAL BLOCK OF PROBABILITY WEIGHTS INTO K0 SEQUENCES OF CORRESPONDING PROBABILITY WEIGHTS ) [ UTILIZING A PRE-DETERMINED NEGATIVE-BINOMIAL PROBABILITY DISTRIBUTION TO DETERMINE PROBABILITIES VIA STAT3250 ] STAT3903 READS AN ( L0 x K0 )-DIMENSIONAL BLOCK OF PROBABILITIES OR WEIGHTS FROM WT(L).INP ( GENERATED BY STAT3250 AS STAT3258.IN2 ) FOR THE ELEMENTS IN < 1, ... , L0 >. THE ROUTINE ALSO READS A SEQUENCE OF 10-ELEMENT PERMUTATIONS FROM PERM.INP, GENERATED FROM STAT3902 AS CUMULAT.OUT, CONSISTING OF THE HIGHEST RANKING ELEMENT FROM EACH ONE OF K0 COLUMNS OF STAR EVENTS FROM STAT3902 OVER THE ELEMENTS IN < 1, ... , L0 >. THE ROUTINE THEN TRANSFORMS THE BLOCK INTO K0 SEQUENCES OF CORRESPONDING PROBABILITY WEIGHTS, OVER THE K0 COLUMNS OF WT(L).INP, RECORDING THEM IN PERM.OUT. MOREOVER, THE PROBABILITIES ARE RANKED IN DESCENDING ORDER OF MAGNITUDE AND THE CORESPONDING HIGHEST RANKING ELEMENTS OVER THE K0 COLUMNS ARE RECORDED AS A HIGH-PROBABILITY K0-ELEMENT VECTOR IN STAT94.INP, FOR FURTHER APPLICATION. THE ELEMENTS RECORDED IN STAT3903.OUT ARE RANKED VIA AN ESOTERIC MULTIVARIATE FUNCTION F ( PROB , XPP , PRATIO , ICOUNT(L) , NZ0 ) INVENTED BY THE AUTHOR AND HARD-CODED IN STAT3250.FOR. STAT3903 MAKES POSSIBLE THE GENERATION OF THE (HIGHEST-PROBABILITY) SINGLE K0-ELEMENT EVENT FOR THE NEXT TRIAL, TACITLY RECORDING IT IN STAT94.INP. THE HIGHEST PROBABILITY EVENT FROM PERM.INP IS ALSO RECORDED IN STAT94.INP. PERM.OUT IS GENERATED AS A PAIR-WISE CONCATENATION OF THE THREE K0-ELEMENT EVENTS GENERATED IN STAT94.INP. ========================================================================= -- L 3904 -- ( GENERATING A Q0-ELEMENT PERMUTATION FROM THE CROSS-PRODUCT OF A PAIR OF PRE-GENERATED PERMUTATIONS ) STAT3904 READS A T0-ELEMENT PERMUTATION OF TENS DIGITS , J = 1, ... ,T0 AND A U0-ELEMENT PERMUTATION OF UNITS DIGITS , K = 1, ... ,U0 FROM PERM.INP. THE CROSS-PRODUCT OF THE TWO PERMUTATIONS YIELDS A Q0-ELEMENT PERMUTATION VIA THE RELATION : 10*T(J) + U(K), J = 1, ... ,T0 AND K = 1, ... ,U0 AND RECORDS IT IN PERM.OUT. THE INPUT PERMUTATION PERM.INP IS GENERATED VIA STAT3860 AS PERM.OUT, AFTER RESTRICTING ELEMENTS IN STAR EVENTS OF BASE.INP AS TENS DIGITS ONLY AND UNITS DIGITS ONLY, IN SUCCESSION. CF. STAT3683 FOR GENERATING THE TENS AND UNITS DIGIT FILES AS TENSDIG.INP AND UNITSDIG.INP, RESPECTIVELY. ========================================================================= -- L 3905 -- ( PREDICTING FUTURE INTERSECTIONS FOR A CYCLIC BLOCK OF TEST EVENTS ) XXXIX ( QUALIFYING BLOCKS OF EVENTS VIA A NEGATIVE-BINOMIAL PDF ) ( NEGATIVE BINOMIAL PDF VARIANT OF STAT1618 ) STAT3905 READS A LARGE SEQUENCE OF K0-ELEMENT TEST EVENTS FROM STAT3905.INP, A SEQUENCE OF FMAX K0-ELEMENT TRANSLATION VECTORS FROM ST0T3905.IN2, AND A SEQUENCE OF IMAX K0-ELEMENT STAR EVENTS FROM STAT3905.INP AND A SEQUENCE OF IMAX K0-ELEMENT STAR EVENTS FROM BASE.INP. THE INPUT SEQUENCE IN STAT3905.INP IS READ AS A FIXED K0-ELEMENT EVENT AND EACH SUCH EVENT IS INTERSECTED WITH EACH EVENT IN THE SEQUENCE OF STAR EVENTS READ FROM FILE BASE.INP. THE ROUTINE FILTERS A SEQUENCE OF K0-ELEMENT EVENTS OF BLOCK-SIZE B. THE PROGRAM IS AUTOMATICALLY TERMINATED WHEN A SEQUENCE OF EVENTS IS GENERATED WHICH QUALIFIES AS A HIGH-PROBABILITY SEQUENCE. THE ROUTINE FLAGS THE ELEMENTS OF A DESIRED RANGE OF STAR EVENTS AS THEY OCCUR AMONG THE ELEMENTS OF EACH TEST EVENT. MOREOVER, OUTPUT TEST EVENTS ARE PRINTED IN THE FILE STAT94.INP FOR FUTURE USE BY OTHER ROUTINES. MOREOVER, THE NUMBER AND PERCENTAGE OF 0's , 1's, 2's, 3's, 4's, ... , K0's ARE COMPUTED AS DETERMINED CARDINALITIES OF INTERSECTION NUMBERS BETWEEN TEST EVENTS AND EACH EVENT IN THE RANGE OF SELECTED STAR EVENTS. A CONFIGURATION MATRIX IS GENERATED WHICH INDICATES THE ELEMENTS IN COMMON BETWEEN TEST EVENT AND THE DESIRED RANGE OF SUCCESSIVE STAR EVENTS. THE ROUTINE ALSO PREDICTS THE NEXT SUCCESSFUL INTERSECTION INDEX BETWEEN A STAR EVENT AND THE GENERATED TEST EVENT. THE ROUTINE STAT3905 FILTERS TEST EVENTS FROM STAT3905.INP INTO STAT3905.OUT AND STAT94.INP. INPUT EVENTS FROM STAT3905.INP ARE ACCEPTED AS [*]-QUALIFIED iff Property 1 : TMAX IN THE INTERVAL [ T1,T2 ] AND | TMAX | .GE. KCT, WHERE 1/KCT IS THE OCCURRENCE CADENCE OVER ALL STAR EVENTS. STAT3905 IS A VARIANT OF STAT13576 STREAMLINING OUTPUT UNTIL AN EXHAUSTIVE SEARCH OVER STAT3905.INP IS COMPLETED FOR QUALIFYING K0-ELEMENT EVENTS OF A DESIRED OR SELECTED BLOCK-SIZE. STAR INDICES ARE USED IN SELECTING QUALIFYING TEST EVENTS. CF. STAT1506 (AN EMBELLISHMENT OF STAT1323) FOR A VERSION OF STAT3905 WHICH GENERATES BLOCKS OF INPUT EVENTS RANDOMLY. STAT3905 USES A SEQUENCE OF CONSECUTIVE INDICES VS. DELTA TO GENERATE THE SPECTRUM OF EVENTS WHOSE VALUES OF DELTA MATCH THE GIVEN SEQUENCE OF INDICES WITHIN A DESIRED INTERVAL, WHERE DELTA = IMAX - ( H(II)+MOD(H(II),KCT) ). CF STAT1504. CF. STAT1619, WHICH IS THE PERMUTATION VERSION OF STAT3905. CF. ALSO STAT2383. A TRANSLATED FILE OF [*]-QUALIFYING EVENTS IS RECORDED IN CUMULAT.OUT. CF. ALSO STAT1654. [*]-QUALIFYING BLOCKS ARE RANKED IN DESCENDING ORDER OF PROBABILITY FOR EACH VALUE OF TMAX, WHERE NTMAX = TMAX - KCT. CF. ALSO STAT1631. EVENTS ARE RANKED IN DESCENDING ORDER OF PROBABILITY OF OCCURRENCE ON THE NEXT TRIAL VIA A NEGATIVE-BINOMIAL PDF. CF. STAT1618 AND STAT3576. ========================================================================= -- L 3906 -- ( PREDICTING FUTURE INTERSECTIONS FOR AN EXTENDED BLOCK OF TEST EVENTS WHICH ARE RANDOMLY AND CYCLICALLY GENERATED IN REAL TIME XXXV ( VARIANT OF STAT3906 WITH EVENTS RANKED VIA TMAX ) ( NEGATIVE-BINOMIAL PDF VERSION OF STAT1711 AND STAT3905 ) STAT3906 GENERATES RANDOM K0-SUBSETS OF AN N-SET, ADAPTED FROM COMBINATORIAL ALGORITHMS (A. NIJENHUIS, H. WILF). IN ADDITION, STAT3906 READS A SEQUENCE OF BMAX K0-ELEMENT STAR EVENTS FROM BASE.INP. THE GENERATED SEQUENCE IS UTILIZED AS A BLOCK OF K0-ELEMENT EVENTS AND EACH SUCH EVENT IS INTERSECTED EACH EVENT IN THE SEQUENCE OF STAR EVENTS READ FROM FILE BASE.INP. STAT3906 IS AUTOMATICALLY TERMINATED WHEN A SEQUENCE OF TEST EVENTS IS GENERATED WHICH QUALIFIES AS A HIGH-PROBABILITY SEQUENCE. THE ROUTINE ALSO FLAGS THE ELEMENTS OF A DESIRED RANGE OF STAR EVENTS AS THEY OCCUR AMONG THE ELEMENTS OF EACH TEST EVENT. MOREOVER, OUTPUT TEST EVENTS ARE PRINTED IN THE FILE STAT94.INP FOR FUTURE USE BY OTHER ROUTINES. MOREOVER, THE NUMBER AND PERCENTAGE OF 0's , 1's, 2's, 3's, 4's, ... , K0's ARE COMPUTED AS DETERMINED CARDINALITIES OF INTERSECTION NUMBERS BETWEEN TEST EVENTS AND EACH EVENT IN THE RANGE OF SELECTED STAR EVENTS. A CONFIGURATION MATRIX IS GENERATED WHICH INDICATES THE ELEMENTS IN COMMON BETWEEN TEST EVENTS AND THE DESIRED RANGE OF SUCCESSIVE STAR EVENTS. THE ROUTINE ALSO PREDICTS THE NEXT SUCCESSFUL INTERSECTION INDEX BETWEEN A STAR EVENT AND THE GENERATED BLOCK OF TEST EVENTS. A RANDOMLY GENERATED BLOCK OF K0-ELEMENT OUTPUT EVENTS IS [*]- QUALIFIED IF, AND ONLY IF, IDMAX .GE. Q0*(KNUM + KCT), WHERE IDMAX = (IMAX + 1) - H(II), WHERE II IS THE LAST QUALIFYING STAR INDEX FOR INTERSECTING EVENTS, AND WHERE KNUM = IMAX / JNUM, JNUM = THE CARDINALITY OF ( H(M+1) - H(M) ) FOR EACH M IN THE SEQUENCE < 0 , 1 , ... , II > , AND KCT IS THE CADENCE OR NUMBER OF STAR INDICES OVER WHICH THE FILTERING CRITERION SHOULD OCCUR , IMAX IS THE FINAL STAR EVENT INDEX, II IS THE FINAL OCCURRENCE INDEX FOR INTERSECTIONS, AND MAX IS THE LARGEST INDEX DISPLACEMENT. STAT3906 IS A VARIANT/HYBRID OF STAT1604 AND STAT1280, EXECUTING UNTIL THE ROUTINE SUCCESSFULLY GENERATES ONE QUALIFYING BLOCK OF K0-ELEMENT EVENTS, MAKING STAT1712 AS TERSE AS DESIRED. STAT1712 IS THE TEST EVENT VERSION OF STAT1273, AS WELL AS A VARIANT OF STAT1268. HOWEVER, PRINTED OUTPUT IS SUPPRESSED TO ALLOW FOR EXTENSIVE PROCESSING, MAKING STAT3906 AS TERSE AS DESIRED. CF. ALSO STAT1604. STAT3906 IS NEGATIVE-BINOMIAL PDF VERSION OF STAT1711 AND STAT3905. STAT3906 IS A VARIANT OF STAT3907 WITH EVENTS RANKED VIA TMAX. ========================================================================= -- L 3907 -- ( PREDICTING FUTURE INTERSECTIONS FOR AN EXTENDED BLOCK OF TEST EVENTS WHICH ARE RANDOMLY AND CYCLICALLY GENERATED IN REAL TIME XXXVI ( VARIANT OF STAT3906 WITH EVENTS RANKED VIA PROBABILITIES ) ( NEGATIVE-BINOMIAL PDF VERSION OF STAT1711 AND STAT3906 ) STAT3907 GENERATES RANDOM K0-SUBSETS OF AN N-SET, ADAPTED FROM COMBINATORIAL ALGORITHMS (A. NIJENHUIS, H. WILF). IN ADDITION, STAT3907 READS A SEQUENCE OF BMAX K0-ELEMENT STAR EVENTS FROM BASE.INP. THE GENERATED SEQUENCE IS UTILIZED AS A BLOCK OF K0-ELEMENT EVENTS AND EACH SUCH EVENT IS INTERSECTED EACH EVENT IN THE SEQUENCE OF STAR EVENTS READ FROM FILE BASE.INP. STAT3907 IS AUTOMATICALLY TERMINATED WHEN A SEQUENCE OF TEST EVENTS IS GENERATED WHICH QUALIFIES AS A HIGH-PROBABILITY SEQUENCE. THE ROUTINE ALSO FLAGS THE ELEMENTS OF A DESIRED RANGE OF STAR EVENTS AS THEY OCCUR AMONG THE ELEMENTS OF EACH TEST EVENT. MOREOVER, OUTPUT TEST EVENTS ARE PRINTED IN THE FILE STAT94.INP FOR FUTURE USE BY OTHER ROUTINES. MOREOVER, THE NUMBER AND PERCENTAGE OF 0's , 1's, 2's, 3's, 4's, ... , K0's ARE COMPUTED AS DETERMINED CARDINALITIES OF INTERSECTION NUMBERS BETWEEN TEST EVENTS AND EACH EVENT IN THE RANGE OF SELECTED STAR EVENTS. A CONFIGURATION MATRIX IS GENERATED WHICH INDICATES THE ELEMENTS IN COMMON BETWEEN TEST EVENTS AND THE DESIRED RANGE OF SUCCESSIVE STAR EVENTS. THE ROUTINE ALSO PREDICTS THE NEXT SUCCESSFUL INTERSECTION INDEX BETWEEN A STAR EVENT AND THE GENERATED BLOCK OF TEST EVENTS. A RANDOMLY GENERATED BLOCK OF K0-ELEMENT OUTPUT EVENTS IS [*]- QUALIFIED IF, AND ONLY IF, IDMAX .GE. Q0*(KNUM + KCT), WHERE IDMAX = (IMAX + 1) - H(II), WHERE II IS THE LAST QUALIFYING STAR INDEX FOR INTERSECTING EVENTS, AND WHERE KNUM = IMAX / JNUM, JNUM = THE CARDINALITY OF ( H(M+1) - H(M) ) FOR EACH M IN THE SEQUENCE < 0 , 1 , ... , II > , AND KCT IS THE CADENCE OR NUMBER OF STAR INDICES OVER WHICH THE FILTERING CRITERION SHOULD OCCUR , IMAX IS THE FINAL STAR EVENT INDEX, II IS THE FINAL OCCURRENCE INDEX FOR INTERSECTIONS, AND MAX IS THE LARGEST INDEX DISPLACEMENT. STAT3907 IS A VARIANT/HYBRID OF STAT1604 AND STAT1280, EXECUTING UNTIL THE ROUTINE SUCCESSFULLY GENERATES ONE QUALIFYING BLOCK OF K0-ELEMENT EVENTS, MAKING STAT1712 AS TERSE AS DESIRED. STAT1712 IS THE TEST EVENT VERSION OF STAT1273, AS WELL AS A VARIANT OF STAT1268. HOWEVER, PRINTED OUTPUT IS SUPPRESSED TO ALLOW FOR EXTENSIVE PROCESSING, MAKING STAT3907 AS TERSE AS DESIRED. CF. ALSO STAT1604. STAT3907 IS NEGATIVE-BINOMIAL PDF VERSION OF STAT1711 AND STAT3905. STAT3907 IS A VARIANT OF STAT3906 WITH EVENTS RANKED VIA PROBABILITIES. ========================================================================= -- L 3908 -- ( EXTRACTING A SEQUENCE OF FIVE K0 ELEMENT EVENTS FROM THE HEAD AND CENTER OF A Q0-ELEMENT PERMUTATION WHOSE ELEMENTS ARE PRESUMED TO BE RECORDED IN DESCENDING ORDER OF WEIGHTS OR A GIVEN METRIC ) STAT3908 READS A Q0-ELEMENT PERMUTATION FROM PERM.INP FOR WHICH ELEMENTS ARE PRESUMED TO BE RECORDED IN DESCENDING ORDER OF WEIGHTS OR A GIVEN METRIC AND EXTRACTS A SEQUENCE OF FIVE K0-ELEMENT EVENTS INTO STAT3908.OUT FOR FURTHER ANALYSIS. ========================================================================= -- L 3909 -- ( PREDICTING FUTURE INTERSECTIONS FOR A CYCLIC BLOCK OF ALL POSSIBLE K0-ELEMENT EVENTS GENERATED FROM A FIXED F0-ELEMENT PERMUTATION ) XXXXXXX ( PERMUTATION VARIANT OF STAT3905 FOR K0-ELEMENT QUALIFYING EVENTS VIA A NEGATIVE-BINOMIAL PDF ) ( CASE: K0 .EQ. 5 ) ( NEGATIVE BINOMIAL PDF VARIANT OF STAT3910 AND STAT1618 ) STAT3909 READS A FIXED Q0-ELEMENT PERMUTATION ON < 1 , ... , L0 > FROM PERM.INP, A SEQUENCE OF FMAX K0-ELEMENT TRANSLATION VECTORS FROM ST0T3909.IN2, AND A SEQUENCE OF IMAX K0-ELEMENT STAR EVENTS FROM BASE.INP. THE ROUTINE GENERATES ALL POSSIBLE K0-ELEMENT EVENTS FROM PERM.INP AND EACH GENERATED EVENT IS INTERSECTED WITH EACH EVENT IN A SEQUENCE OF STAR EVENTS READ FROM FILE BASE.INP. THE ROUTINE FILTERS A SEQUENCE OF K0-ELEMENT EVENTS OF BLOCK-SIZE B. THE PROGRAM IS AUTOMATICALLY TERMINATED WHEN A SEQUENCE OF EVENTS IS GENERATED WHICH QUALIFIES AS A HIGH-PROBABILITY SEQUENCE. THE ROUTINE FLAGS THE ELEMENTS OF A DESIRED RANGE OF STAR EVENTS AS THEY OCCUR AMONG THE ELEMENTS OF EACH TEST EVENT. MOREOVER, OUTPUT TEST EVENTS ARE PRINTED IN THE FILE STAT94.INP FOR FUTURE USE BY OTHER ROUTINES. MOREOVER, THE NUMBER AND PERCENTAGE OF 0's , 1's, 2's, 3's, 4's, ... , K0's ARE COMPUTED AS DETERMINED CARDINALITIES OF INTERSECTION NUMBERS BETWEEN TEST EVENTS AND EACH EVENT IN THE RANGE OF SELECTED STAR EVENTS. A CONFIGURATION MATRIX IS GENERATED WHICH INDICATES THE ELEMENTS IN COMMON BETWEEN TEST EVENT AND THE DESIRED RANGE OF SUCCESSIVE STAR EVENTS. THE ROUTINE ALSO PREDICTS THE NEXT SUCCESSFUL INTERSECTION INDEX BETWEEN A STAR EVENT AND THE GENERATED TEST EVENT. THE ROUTINE STAT3909 FILTERS TEST EVENTS FROM PERM.INP INTO STAT3909.OUT AND STAT94.INP. INPUT EVENTS FROM PERM.INP ARE ACCEPTED AS [*]-QUALIFIED iff Property 1 : TMAX IN THE INTERVAL [ T1,T2 ] AND | TMAX | .GE. KCT, WHERE 1/KCT IS THE OCCURRENCE CADENCE OVER ALL STAR EVENTS. STAT3909 IS A VARIANT OF STAT13576 STREAMLINING OUTPUT UNTIL AN EXHAUSTIVE SEARCH OVER PERM.INP IS COMPLETED FOR QUALIFYING K0-ELEMENT EVENTS OF A DESIRED OR SELECTED BLOCK-SIZE. STAR INDICES ARE USED IN SELECTING QUALIFYING TEST EVENTS. CF. STAT1506 (AN EMBELLISHMENT OF STAT1323) FOR A VERSION OF STAT3909 WHICH GENERATES BLOCKS OF INPUT EVENTS RANDOMLY. STAT3909 USES A SEQUENCE OF CONSECUTIVE INDICES VS. DELTA TO GENERATE THE SPECTRUM OF EVENTS WHOSE VALUES OF DELTA MATCH THE GIVEN SEQUENCE OF INDICES WITHIN A DESIRED INTERVAL, WHERE DELTA = IMAX - ( H(II)+MOD(H(II),KCT) ). CF STAT1504. CF. STAT1619, WHICH IS THE PERMUTATION VERSION OF STAT3909. CF. ALSO STAT2383. CF. ALSO STAT1654. [*]-QUALIFYING BLOCKS ARE RANKED IN DESCENDING ORDER OF PROBABILITY FOR EACH VALUE OF TMAX, WHERE NTMAX = TMAX - KCT. CF. ALSO STAT1631. EVENTS ARE RANKED IN DESCENDING ORDER OF PROBABILITY OF OCCURRENCE ON THE NEXT TRIAL VIA A NEGATIVE-BINOMIAL PDF. CF. STAT1618 AND STAT3576. CF. STAT3905 AND STAT1618. CF. ALSO STAT3910 FOR THE CASE: K0 = 6. A CUMULATIVE FILE OF GENERATED [*]-QUALIFYING TEST EVENTS IS RECORDED IN CUMULAT.OUT. ========================================================================= -- L 3910 -- ( PREDICTING FUTURE INTERSECTIONS FOR A CYCLIC BLOCK OF ALL POSSIBLE K0-ELEMENT EVENTS GENERATED FROM A FIXED F0-ELEMENT PERMUTATION ) XXXXXXI ( PERMUTATION VARIANT OF STAT3905 FOR K0-ELEMENT QUALIFYING EVENTS VIA A NEGATIVE-BINOMIAL PDF ) ( VARIANT OF STAT3911 -- [ CASE: K0 .EQ. 6 ] ) ( NEGATIVE BINOMIAL PDF VARIANT OF STAT3909 AND STAT1618 ) STAT3910 READS A FIXED Q0-ELEMENT PERMUTATION ON < 1 , ... , L0 > FROM PERM.INP, A SEQUENCE OF FMAX K0-ELEMENT TRANSLATION VECTORS FROM ST0T3910.IN2, AND A SEQUENCE OF IMAX K0-ELEMENT STAR EVENTS FROM BASE.INP. THE ROUTINE GENERATES ALL POSSIBLE K0-ELEMENT EVENTS FROM PERM.INP AND EACH GENERATED EVENT IS INTERSECTED WITH EACH EVENT IN A SEQUENCE OF STAR EVENTS READ FROM FILE BASE.INP. THE ROUTINE FILTERS A SEQUENCE OF K0-ELEMENT EVENTS OF BLOCK-SIZE B. THE PROGRAM IS AUTOMATICALLY TERMINATED WHEN A SEQUENCE OF EVENTS IS GENERATED WHICH QUALIFIES AS A HIGH-PROBABILITY SEQUENCE. THE ROUTINE FLAGS THE ELEMENTS OF A DESIRED RANGE OF STAR EVENTS AS THEY OCCUR AMONG THE ELEMENTS OF EACH TEST EVENT. MOREOVER, OUTPUT TEST EVENTS ARE PRINTED IN THE FILE STAT94.INP FOR FUTURE USE BY OTHER ROUTINES. MOREOVER, THE NUMBER AND PERCENTAGE OF 0's , 1's, 2's, 3's, 4's, ... , K0's ARE COMPUTED AS DETERMINED CARDINALITIES OF INTERSECTION NUMBERS BETWEEN TEST EVENTS AND EACH EVENT IN THE RANGE OF SELECTED STAR EVENTS. A CONFIGURATION MATRIX IS GENERATED WHICH INDICATES THE ELEMENTS IN COMMON BETWEEN TEST EVENT AND THE DESIRED RANGE OF SUCCESSIVE STAR EVENTS. THE ROUTINE ALSO PREDICTS THE NEXT SUCCESSFUL INTERSECTION INDEX BETWEEN A STAR EVENT AND THE GENERATED TEST EVENT. THE ROUTINE STAT3910 FILTERS TEST EVENTS FROM PERM.INP INTO STAT3910.OUT AND STAT94.INP. INPUT EVENTS FROM PERM.INP ARE ACCEPTED AS [*]-QUALIFIED iff Property 1 : TMAX IN THE INTERVAL [ T1,T2 ] AND | TMAX | .GE. KCT, WHERE 1/KCT IS THE OCCURRENCE CADENCE OVER ALL STAR EVENTS. STAT3910 IS A VARIANT OF STAT13576 STREAMLINING OUTPUT UNTIL AN EXHAUSTIVE SEARCH OVER PERM.INP IS COMPLETED FOR QUALIFYING K0-ELEMENT EVENTS OF A DESIRED OR SELECTED BLOCK-SIZE. STAR INDICES ARE USED IN SELECTING QUALIFYING TEST EVENTS. CF. STAT1506 (AN EMBELLISHMENT OF STAT1323) FOR A VERSION OF STAT3910 WHICH GENERATES BLOCKS OF INPUT EVENTS RANDOMLY. STAT3910 USES A SEQUENCE OF CONSECUTIVE INDICES VS. DELTA TO GENERATE THE SPECTRUM OF EVENTS WHOSE VALUES OF DELTA MATCH THE GIVEN SEQUENCE OF INDICES WITHIN A DESIRED INTERVAL, WHERE DELTA = IMAX - ( H(II)+MOD(H(II),KCT) ). CF STAT1504. CF. STAT1619, WHICH IS THE PERMUTATION VERSION OF STAT3910. CF. ALSO STAT2383. CF. ALSO STAT1654. [*]-QUALIFYING BLOCKS ARE RANKED IN DESCENDING ORDER OF PROBABILITY FOR EACH VALUE OF TMAX, WHERE NTMAX = TMAX - KCT. CF. ALSO STAT1631. EVENTS ARE RANKED IN DESCENDING ORDER OF PROBABILITY OF OCCURRENCE ON THE NEXT TRIAL VIA A NEGATIVE-BINOMIAL PDF. CF. STAT1618 AND STAT3576. CF. STAT3905 AND STAT1618. CF. ALSO STAT3909 FOR THE CASE: K0 = 5. A CUMULATIVE FILE OF GENERATED [*]-QUALIFYING TEST EVENTS IS RECORDED IN CUMULAT.OUT. CF. ALSO STAT3911. ========================================================================= -- L 3911 -- ( PREDICTING FUTURE INTERSECTIONS FOR A CYCLIC BLOCK OF ALL POSSIBLE K0-ELEMENT EVENTS GENERATED FROM A FIXED F0-ELEMENT PERMUTATION ) XXXXXXI ( PERMUTATION VARIANT OF STAT3905 FOR K0-ELEMENT QUALIFYING EVENTS VIA A NEGATIVE-BINOMIAL PDF ) ( VARIANT OF STAT3910 -- [ CASE: K0 .EQ. 6 ] ) ( NEGATIVE BINOMIAL PDF VARIANT OF STAT3909 AND STAT1618 ) STAT3911 READS A FIXED Q0-ELEMENT PERMUTATION ON < 1 , ... , L0 > FROM PERM.INP, A SEQUENCE OF FMAX K0-ELEMENT TRANSLATION VECTORS FROM ST0T3911.IN2, AND A SEQUENCE OF IMAX K0-ELEMENT STAR EVENTS FROM BASE.INP. THE ROUTINE GENERATES ALL POSSIBLE K0-ELEMENT EVENTS FROM PERM.INP AND EACH GENERATED EVENT IS INTERSECTED WITH EACH EVENT IN A SEQUENCE OF STAR EVENTS READ FROM FILE BASE.INP. THE ROUTINE FILTERS A SEQUENCE OF K0-ELEMENT EVENTS OF BLOCK-SIZE B. THE PROGRAM IS AUTOMATICALLY TERMINATED WHEN A SEQUENCE OF EVENTS IS GENERATED WHICH QUALIFIES AS A HIGH-PROBABILITY SEQUENCE. THE ROUTINE FLAGS THE ELEMENTS OF A DESIRED RANGE OF STAR EVENTS AS THEY OCCUR AMONG THE ELEMENTS OF EACH TEST EVENT. MOREOVER, OUTPUT TEST EVENTS ARE PRINTED IN THE FILE STAT94.INP FOR FUTURE USE BY OTHER ROUTINES. MOREOVER, THE NUMBER AND PERCENTAGE OF 0's , 1's, 2's, 3's, 4's, ... , K0's ARE COMPUTED AS DETERMINED CARDINALITIES OF INTERSECTION NUMBERS BETWEEN TEST EVENTS AND EACH EVENT IN THE RANGE OF SELECTED STAR EVENTS. A CONFIGURATION MATRIX IS GENERATED WHICH INDICATES THE ELEMENTS IN COMMON BETWEEN TEST EVENT AND THE DESIRED RANGE OF SUCCESSIVE STAR EVENTS. THE ROUTINE ALSO PREDICTS THE NEXT SUCCESSFUL INTERSECTION INDEX BETWEEN A STAR EVENT AND THE GENERATED TEST EVENT. THE ROUTINE STAT3911 FILTERS TEST EVENTS FROM PERM.INP INTO STAT3911.OUT AND STAT94.INP. INPUT EVENTS FROM PERM.INP ARE ACCEPTED AS [*]-QUALIFIED iff Property 1 : TMAX IN THE INTERVAL [ T1,T2 ] AND | TMAX | .GE. KCT, WHERE 1/KCT IS THE OCCURRENCE CADENCE OVER ALL STAR EVENTS. STAT3911 IS A VARIANT OF STAT13576 STREAMLINING OUTPUT UNTIL AN EXHAUSTIVE SEARCH OVER PERM.INP IS COMPLETED FOR QUALIFYING K0-ELEMENT EVENTS OF A DESIRED OR SELECTED BLOCK-SIZE. STAR INDICES ARE USED IN SELECTING QUALIFYING TEST EVENTS. CF. STAT1506 (AN EMBELLISHMENT OF STAT1323) FOR A VERSION OF STAT3911 WHICH GENERATES BLOCKS OF INPUT EVENTS RANDOMLY. STAT3911 USES A SEQUENCE OF CONSECUTIVE INDICES VS. DELTA TO GENERATE THE SPECTRUM OF EVENTS WHOSE VALUES OF DELTA MATCH THE GIVEN SEQUENCE OF INDICES WITHIN A DESIRED INTERVAL, WHERE DELTA = IMAX - ( H(II)+MOD(H(II),KCT) ). CF STAT1504. CF. STAT1619, WHICH IS THE PERMUTATION VERSION OF STAT3911. CF. ALSO STAT2383. CF. ALSO STAT1654. [*]-QUALIFYING BLOCKS ARE RANKED IN DESCENDING ORDER OF PROBABILITY FOR EACH VALUE OF TMAX, WHERE NTMAX = TMAX - KCT. CF. ALSO STAT1631. EVENTS ARE RANKED IN DESCENDING ORDER OF PROBABILITY OF OCCURRENCE ON THE NEXT TRIAL VIA A NEGATIVE-BINOMIAL PDF. CF. STAT1618 AND STAT3576. CF. STAT3905 AND STAT1618. CF. ALSO STAT3909 FOR THE CASE: K0 = 5. A CUMULATIVE FILE OF GENERATED [*]-QUALIFYING TEST EVENTS IS RECORDED IN CUMULAT.OUT. CF. ALSO STAT3910. ========================================================================= -- L 3912 -- MONITOR MATRIX GENERATOR XXXXX FREQUENCY COUNTS FOR ELEMENTS IN A LARGE SEQUENCE OF V1-ELEMENT PERMUTATIONS ( PERMUTATION VERSION OF STAT3914 AND STAT3640 ) ( UTILIZING PRE-DETERMINED GEOMETRIC, NEGATIVE BINOMIAL, OR POISSON PROBABILITY DISTRIBUTION TO DETERMINE PROBABILITIES ) STAT3912 READS AN L0-ELEMENT SEQUENCE OF PROBABILITIES/WEIGHTS OF ELEMENTS IN WT(L).INP ON < 1, 2, ... , L0 >, GENERATED VIA STAT3246, READS A Q0-ELEMENT PERMUTATION ON L0 ELEMENTS FROM PERM.INP, AND FILTERS K0-ELEMENT EVENTS FOR WHICH ALL K0 ELEMENTS HAVE PROBABILITIES WITHIN A PRESCRIBED DISTANCE FROM K0 FIXED PROBABILITIES. CF. STAT3914. ========================================================================= -- L 3913 -- ( DETERMINING THE FREQUENCY OF EACH ELEMENT L = 1 , 2 , 3 , ... , L0 RESIDING WITHIN A ( BMAX x K0 ) - DIMENSIONAL BLOCK OF EVENTS ) STAT3919 READS A ( BMAX x K0 ) - DIMENSIONAL BLOCK OF EVENTS FROM STAT3919.INP AND A SEQUENCE OF L0 PROBABILITY WEIGHTS FROM WT(L).INP, GENERATING AND RANKING INTO STAT3919.OUT, STAT3919.OT2, AND STAT3919.OT3 THE FREQUENCY OF EACH ELEMENT L = 1 , 2 , ... , L0, ALONG WITH THE CORRESPONDING WEIGHTS OF ALL L0 ELEMENTS. ========================================================================= -- L 3914 -- MONITOR MATRIX GENERATOR XXXXX FREQUENCY COUNTS FOR ELEMENTS IN A LARGE SEQUENCE OF V1-ELEMENT PERMUTATIONS ( TEST EVENT VERSION OF STAT3912 AND STAT3641 ) ( UTILIZING PRE-DETERMINED GEOMETRIC, NEGATIVE BINOMIAL, OR POISSON PROBABILITY DISTRIBUTION TO DETERMINE PROBABILITIES ) STAT3914 READS AN L0-ELEMENT SEQUENCE OF PROBABILITIES/WEIGHTS OF ELEMENTS IN WT(L).INP ON < 1, 2, ... , L0 >, GENERATED VIA STAT3246, READS A LARGE BLOCK OF K0-ELEMENT EVENTS FROM STAT3914.INP AND FILTERS K0-ELEMENT EVENTS FOR WHICH ALL K0 ELEMENTS HAVE PROBABILITIES WITHIN A PRESCRIBED DISTANCE FROM K0 FIXED PROBABILITIES. ========================================================================= -- L 3915 -- ( PREDICTING FUTURE INTERSECTIONS FOR A CYCLIC BLOCK OF TEST EVENTS ) XXX ( QUALIFYING SINGLE EVENTS VIA A NEGATIVE-BINOMIAL PDF ) ( VARIANT OF STAT3916 AND STAT3576 ) STAT3915 READS A LARGE SEQUENCE OF K0-ELEMENT TEST EVENTS FROM STAT3915.INP, A SEQUENCE OF FMAX K0-ELEMENT TRANSLATION VECTORS FROM ST0T3915.IN2, AND A SEQUENCE OF IMAX K0-ELEMENT STAR EVENTS FROM STAT3915.INP AND A SEQUENCE OF IMAX K0-ELEMENT STAR EVENTS FROM BASE.INP. THE INPUT SEQUENCE IN STAT3915.INP IS READ AS A FIXED K0-ELEMENT EVENT AND EACH SUCH EVENT IS INTERSECTED WITH EACH EVENT IN THE SEQUENCE OF STAR EVENTS READ FROM FILE BASE.INP. THE ROUTINE FILTERS A SEQUENCE OF K0-ELEMENT EVENTS OF BLOCK-SIZE 1. THE PROGRAM IS AUTOMATICALLY TERMINATED WHEN A SEQUENCE OF EVENTS IS GENERATED WHICH QUALIFIES AS A HIGH-PROBABILITY SEQUENCE. THE ROUTINE FLAGS THE ELEMENTS OF A DESIRED RANGE OF STAR EVENTS AS THEY OCCUR AMONG THE ELEMENTS OF EACH TEST EVENT. MOREOVER, OUTPUT TEST EVENTS ARE PRINTED IN THE FILE STAT94.INP FOR FUTURE USE BY OTHER ROUTINES. MOREOVER, THE NUMBER AND PERCENTAGE OF 0's , 1's, 2's, 3's, 4's, ... , K0's ARE COMPUTED AS DETERMINED CARDINALITIES OF INTERSECTION NUMBERS BETWEEN TEST EVENTS AND EACH EVENT IN THE RANGE OF SELECTED STAR EVENTS. A CONFIGURATION MATRIX IS GENERATED WHICH INDICATES THE ELEMENTS IN COMMON BETWEEN TEST EVENT AND THE DESIRED RANGE OF SUCCESSIVE STAR EVENTS. THE ROUTINE ALSO PREDICTS THE NEXT SUCCESSFUL INTERSECTION INDEX BETWEEN A STAR EVENT AND THE GENERATED TEST EVENT. THE ROUTINE STAT3915 FILTERS TEST EVENTS FROM STAT3915.INP INTO STAT3915.OUT AND STAT94.INP. INPUT EVENTS FROM STAT3915.INP ARE ACCEPTED AS [*]-QUALIFIED iff Property 1 : TMAX IN THE INTERVAL [ T1,T2 ] AND | TMAX | .GE. KCT, WHERE 1/KCT IS THE OCCURRENCE CADENCE OVER ALL STAR EVENTS. STAT3915 IS A VARIANT OF STAT13576 STREAMLINING OUTPUT UNTIL AN EXHAUSTIVE SEARCH OVER STAT3915.INP IS COMPLETED FOR QUALIFYING K0-ELEMENT EVENTS OF A DESIRED OR SELECTED BLOCK-SIZE. STAR INDICES ARE USED IN SELECTING QUALIFYING TEST EVENTS. CF. STAT1506 (AN EMBELLISHMENT OF STAT1323) FOR A VERSION OF STAT3915 WHICH GENERATES BLOCKS OF INPUT EVENTS RANDOMLY. STAT3915 USES A SEQUENCE OF CONSECUTIVE INDICES VS. DELTA TO GENERATE THE SPECTRUM OF EVENTS WHOSE VALUES OF DELTA MATCH THE GIVEN SEQUENCE OF INDICES WITHIN A DESIRED INTERVAL, WHERE DELTA = IMAX - ( H(II)+MOD(H(II),KCT) ). CF STAT1504. CF. STAT1619, WHICH IS THE PERMUTATION VERSION OF STAT3915. CF. ALSO STAT2383. A TRANSLATED FILE OF [*]-QUALIFYING EVENTS IS RECORDED IN CUMULAT.OUT. CF. ALSO STAT1654. [*]-QUALIFYING BLOCKS ARE RANKED IN DESCENDING ORDER OF PROBABILITY FOR EACH VALUE OF TMAX, WHERE NTMAX = TMAX - KCT. CF. ALSO STAT1631. EVENTS ARE RANKED IN DESCENDING ORDER OF PROBABILITY OF OCCURRENCE ON THE NEXT TRIAL VIA A NEGATIVE-BINOMIAL PROBABILITY DISTRIBUTION. CF. STAT3576 AND STAT3916. ========================================================================= -- L 3916 -- ( PREDICTING FUTURE INTERSECTIONS FOR A CYCLIC BLOCK OF TEST EVENTS GENERATED FROM A FIXED PERMUTATION OF DIMENSION F0 ) XXXI ( QUALIFYING SINGLE EVENTS VIA A NEGATIVE-BINOMIAL PDF ) ( VARIANT OF STAT3916 AND STAT3576 ) ( CASE: K0 .EQ. 6 ) STAT3916 READS AN F0-DIMENSIONAL PERMUTATION FROM PERM.INP AND A SEQUENCE OF IMAX K0-ELEMENT STAR EVENTS FROM BASE.INP. EACH K0-ELEMENT EVENT GENERATED FROM PERM.INP IS INTERSECTED WITH EACH EVENT IN THE SEQUENCE OF STAR EVENTS READ FROM FILE BASE.INP. THE ROUTINE FILTERS A SEQUENCE OF K0-ELEMENT EVENT BLOCKS. THE PROGRAM IS AUTOMATICALLY TERMINATED WHEN A SEQUENCE OF EVENTS IS GENERATED WHICH QUALIFIES AS A HIGH-PROBABILITY SEQUENCE. THE ROUTINE FLAGS THE ELEMENTS OF A DESIRED RANGE OF STAR EVENTS AS THEY OCCUR AMONG THE ELEMENTS OF EACH TEST EVENT. MOREOVER, OUTPUT TEST EVENTS ARE PRINTED IN THE FILE STAT94.INP FOR FUTURE USE BY OTHER ROUTINES. MOREOVER, THE NUMBER AND PERCENTAGE OF 0's , 1's, 2's, 3's, 4's, ... , K0's ARE COMPUTED AS DETERMINED CARDINALITIES OF INTERSECTION NUMBERS BETWEEN TEST EVENTS AND EACH EVENT IN THE RANGE OF SELECTED STAR EVENTS. A CONFIGURATION MATRIX IS GENERATED WHICH INDICATES THE ELEMENTS IN COMMON BETWEEN TEST EVENT AND THE DESIRED RANGE OF SUCCESSIVE STAR EVENTS. THE ROUTINE ALSO PREDICTS THE NEXT SUCCESSFUL INTERSECTION INDEX BETWEEN A STAR EVENT AND THE GENERATED TEST EVENT. THE ROUTINE STAT3916 FILTERS TEST EVENTS FROM STAT3916.INP INTO STAT3916.OUT AND STAT94.INP. INPUT EVENTS FROM STAT3916.INP ARE ACCEPTED AS [*]-QUALIFIED iff Property 1 : TMAX IN THE INTERVAL [ T1,T2 ] AND | TMAX | .GE. KCT, WHERE 1/KCT IS THE OCCURRENCE CADENCE OVER ALL STAR EVENTS. STAT3916 IS A VARIANT OF STAT13576 STREAMLINING OUTPUT UNTIL AN EXHAUSTIVE SEARCH OVER STAT3916.INP IS COMPLETED FOR QUALIFYING K0-ELEMENT EVENTS OF A DESIRED OR SELECTED BLOCK-SIZE. STAR INDICES ARE USED IN SELECTING QUALIFYING TEST EVENTS. CF. STAT1506 (AN EMBELLISHMENT OF STAT1323) FOR A VERSION OF STAT3916 WHICH GENERATES BLOCKS OF INPUT EVENTS RANDOMLY. STAT3916 USES A SEQUENCE OF CONSECUTIVE INDICES VS. DELTA TO GENERATE THE SPECTRUM OF EVENTS WHOSE VALUES OF DELTA MATCH THE GIVEN SEQUENCE OF INDICES WITHIN A DESIRED INTERVAL, WHERE DELTA = IMAX - ( H(II)+MOD(H(II),KCT) ). CF STAT1504. CF. STAT1619, WHICH IS THE PERMUTATION VERSION OF STAT3916. CF. ALSO STAT2383. A TRANSLATED FILE OF [*]-QUALIFYING EVENTS IS RECORDED IN CUMULAT.OUT. CF. ALSO STAT1654. [*]-QUALIFYING BLOCKS ARE RANKED IN DESCENDING ORDER OF PROBABILITY FOR EACH VALUE OF TMAX, WHERE NTMAX = TMAX - KCT. CF. ALSO STAT1631. EVENTS ARE RANKED IN DESCENDING ORDER OF PROBABILITY OF OCCURRENCE ON THE NEXT TRIAL VIA A NEGATIVE-BINOMIAL PROBABILITY DISTRIBUTION. CF. STAT3576 AND STAT3916. CF. STAT3917 FOR THE CASE: K0 = 5. ========================================================================= -- L 3917 -- ( PREDICTING FUTURE INTERSECTIONS FOR A CYCLIC BLOCK OF TEST EVENTS GENERATED FROM A FIXED PERMUTATION OF DIMENSION F0 ) XXXI ( QUALIFYING SINGLE EVENTS VIA A NEGATIVE-BINOMIAL PDF ) ( VARIANT OF STAT3917 AND STAT3576 ) ( CASE: K0 .EQ. 5 ) STAT3917 READS AN F0-DIMENSIONAL PERMUTATION FROM PERM.INP AND A SEQUENCE OF IMAX K0-ELEMENT STAR EVENTS FROM BASE.INP. EACH K0-ELEMENT EVENT GENERATED FROM PERM.INP IS INTERSECTED WITH EACH EVENT IN THE SEQUENCE OF STAR EVENTS READ FROM FILE BASE.INP. THE ROUTINE FILTERS A SEQUENCE OF K0-ELEMENT EVENT BLOCKS. THE PROGRAM IS AUTOMATICALLY TERMINATED WHEN A SEQUENCE OF EVENTS IS GENERATED WHICH QUALIFIES AS A HIGH-PROBABILITY SEQUENCE. THE ROUTINE FLAGS THE ELEMENTS OF A DESIRED RANGE OF STAR EVENTS AS THEY OCCUR AMONG THE ELEMENTS OF EACH TEST EVENT. MOREOVER, OUTPUT TEST EVENTS ARE PRINTED IN THE FILE STAT94.INP FOR FUTURE USE BY OTHER ROUTINES. MOREOVER, THE NUMBER AND PERCENTAGE OF 0's , 1's, 2's, 3's, 4's, ... , K0's ARE COMPUTED AS DETERMINED CARDINALITIES OF INTERSECTION NUMBERS BETWEEN TEST EVENTS AND EACH EVENT IN THE RANGE OF SELECTED STAR EVENTS. A CONFIGURATION MATRIX IS GENERATED WHICH INDICATES THE ELEMENTS IN COMMON BETWEEN TEST EVENT AND THE DESIRED RANGE OF SUCCESSIVE STAR EVENTS. THE ROUTINE ALSO PREDICTS THE NEXT SUCCESSFUL INTERSECTION INDEX BETWEEN A STAR EVENT AND THE GENERATED TEST EVENT. THE ROUTINE STAT3917 FILTERS TEST EVENTS FROM STAT3917.INP INTO STAT3917.OUT AND STAT94.INP. INPUT EVENTS FROM STAT3917.INP ARE ACCEPTED AS [*]-QUALIFIED iff Property 1 : TMAX IN THE INTERVAL [ T1,T2 ] AND | TMAX | .GE. KCT, WHERE 1/KCT IS THE OCCURRENCE CADENCE OVER ALL STAR EVENTS. STAT3917 IS A VARIANT OF STAT13576 STREAMLINING OUTPUT UNTIL AN EXHAUSTIVE SEARCH OVER STAT3917.INP IS COMPLETED FOR QUALIFYING K0-ELEMENT EVENTS OF A DESIRED OR SELECTED BLOCK-SIZE. STAR INDICES ARE USED IN SELECTING QUALIFYING TEST EVENTS. CF. STAT1506 (AN EMBELLISHMENT OF STAT1323) FOR A VERSION OF STAT3917 WHICH GENERATES BLOCKS OF INPUT EVENTS RANDOMLY. STAT3917 USES A SEQUENCE OF CONSECUTIVE INDICES VS. DELTA TO GENERATE THE SPECTRUM OF EVENTS WHOSE VALUES OF DELTA MATCH THE GIVEN SEQUENCE OF INDICES WITHIN A DESIRED INTERVAL, WHERE DELTA = IMAX - ( H(II)+MOD(H(II),KCT) ). CF STAT1504. CF. STAT1619, WHICH IS THE PERMUTATION VERSION OF STAT3917. CF. ALSO STAT2383. A TRANSLATED FILE OF [*]-QUALIFYING EVENTS IS RECORDED IN CUMULAT.OUT. CF. ALSO STAT1654. [*]-QUALIFYING BLOCKS ARE RANKED IN DESCENDING ORDER OF PROBABILITY FOR EACH VALUE OF TMAX, WHERE NTMAX = TMAX - KCT. CF. ALSO STAT1631. EVENTS ARE RANKED IN DESCENDING ORDER OF PROBABILITY OF OCCURRENCE ON THE NEXT TRIAL VIA A NEGATIVE-BINOMIAL PROBABILITY DISTRIBUTION. CF. STAT3576 AND STAT3917. CF. STAT3916 FOR THE CASE: K0 = 6. ========================================================================= -- L 3918 -- ( GENERATING BI-PARTITE PAIRS OF K0-ELEMENT EVENTS FROM A FIXED ( BMAX x K0 ) - DIMENSIONAL BLOCK OF EVENTS, OVER SELECTED COLUMS: { [1] , [2,3] , [4,5] , [6] } FROM TACITLY INTERLACED PAIRS OF CONSECUIVE ROWS ) STAT3918 READS A ( BMAX x K0 ) - DIMENSIONAL BLOCK OF EVENTS FROM STAT3918.INP GENERATES INTO ST1T94.INP A SEQUENCE OF BI-PARTITE PAIRS OF K0-ELEMENT EVENTS, OVER SELECTED COLUMNS: { [1] , [2,3] , [4,5] , [6] } FROM TACITLY INTERLACED PAIRS OF CONSECUIVE ROWS. THE RESULTING STAT94.INP IS UTILIZED IN UNION WITH STAT3246, STAT3841, STAT149, STAT2803, AND STAT2064 TO GENERATE HIGH-PROBABILITY K0-ELEMENT EVENTS. EVENTS GENERATED INTO STAT94.INP ARE OF THE FORM: B(I,1),B(I+1,2),B(I+1,3),B(I,4),B(I,5),B(I+1,6). ========================================================================= -- L 3919 -- ( DETERMINING THE FREQUENCY OF EACH ELEMENT L = 1 , 2 , 3 , ... , L0 RESIDING WITHIN A ( BMAX x K0 ) - DIMENSIONAL BLOCK OF EVENTS ) STAT3919 READS A ( BMAX x K0 ) - DIMENSIONAL BLOCK OF EVENTS FROM STAT3919.INP AND A SEQUENCE OF L0 PROBABILITY WEIGHTS FROM WT(L).INP, GENERATING AND RANKING INTO STAT3919.OUT, STAT3919.OT2, AND STAT3919.OT3 THE FREQUENCY OF EACH ELEMENT L = 1 , 2 , ... , L0, ALONG WITH THE CORRESPONDING WEIGHTS OF ALL L0 ELEMENTS. ========================================================================= -- L 3920 -- ( DETERMINING THE FREQUENCY OF EACH ELEMENT L = 1 , 2 , 3 , ... , L0 RESIDING WITHIN A ( BMAX x K0 ) - DIMENSIONAL BLOCK OF EVENTS , RESTRICTED TO A DESIRED COLUMN, ICOL, SELECTED BY THE ANALYST ) II ( VARIANT OF STAT3919 , RESTRICTED TO A SELECTED COLUMN ) STAT3920 READS A ( BMAX x K0 ) - DIMENSIONAL BLOCK OF EVENTS FROM STAT3920.INP AND A SEQUENCE OF L0 PROBABILITY WEIGHTS FROM WT(L).INP, GENERATING AND RANKING INTO STAT3920.OUT, STAT3920.OT2, AND STAT3920.OT3 THE FREQUENCY OF EACH ELEMENT L = 1 , 2 , ... , L0, ALONG WITH THE CORRESPONDING WEIGHTS OF ALL L0 ELEMENTS, RESTRICTED TO A DESIRED COLUMN SELECTED BY THE ANALYST. ========================================================================= -- L 3921 -- ( DETERMINING K0-ELEMENT HIGH-PROBABILITY EVENTS FROM COLUMN MEAN ELEMENTS OF AN ( IMAX x K0 ) - DIMENSIONAL BLOCK OF STAR EVENTS ) STAT3921 READS AN ( IMAX x K0 ) - DIMENSIOAL BLOCK OF STAR EVENTS FROM BASE.INP, A SEQUENCE OF COLUMN INDEX EVENTS FROM COLS.INP, A SELECTED K0-ELEMENT TRANSLATION VECTOR IN TVECT.INP, AND TACITLY GENERATES A K0-ELEMENT VECTOR OF COLUMN MEANS, I.E., MEANS.OUT, FROM BASE.INP. SUBSEQUENTLY, A SEQUENCE OF HIGH-PROB. K0-ELEMENT TEST EVENTS IS THEN TACITLY DETERMINED AND RECORDED AS STAT3921.OUT. ========================================================================= -- L 3922 -- STAT3922 READS A SET OF L0 VALUES OF WT(L) AND TMAX(L) FOR L = 1, 2, ... , L0 IN WT(L).INP, GENERATED VIA STAT3246 AS WT(L).OUT, A FIXED SET OF TMAX VALUES TT1, TT2, TT3, TT4, ..., TTK0 AND A FIXED SET OF CUMPROB WEIGHTS CP1, CP2, ... ,CPK0 IN STAT3922.IN2, PREVIOUSLY GENERATED VIA STAT3246 AS STAT3922.IN2. A Q0-ELEMENT PERMUTATION IS GENERATED INTO PERM.OUT, REPRESENTING [*]-QUALIFYING ELEMENTS L FROM PERM.INP WHOSE WT(L) AND CUMPROB DEVIATIONS ARE WITHIN EPSILON1 AND EPSILON2, RESPECTIVELY. ========================================================================= -- L 3923 -- STAT3923 READS A FIXED K0-ELEMENT EVENT FROM STAT3923.INP GENERATED VIA STAT3910 AS STAT94.INP AND GENERATES A Q0-DIMENSIONAL PERMUTATION IN PERM.OUT WHICH CONSISTS OF ELEMENTS DETERMINED TACITLY AS LINEAR COMBINATIONS OF UNITS AND TENS DIGITS FROM STAT3923.INP. ========================================================================= -- L 3924 -- MONITOR MATRIX GENERATOR XXIX FREQUENCY COUNTS FOR A SEQUENCE OF ELEMENTS < 1 , 2, ... , L0 > VS. A SEQUENCE OF STAR EVENTS II ( VARIANT OF STAT3246 ) ( PROBABILITY THAT ELEMENT L OCCURS IN THE NEXT STAR EVENT VIA A RELATIVE FREQUENCY PROBABILITY DISTRIBUTION ) READS A SEQUENCE OF IMAX STAR EVENTS ON THE ELEMENTS ON THE ELEMENTS IN T = < 1, 2, ... , L0 > DETERMINES A (0,1) - OCCURRENCE MATRIX FOR EACH OF THE L0 ELEMENTS OF THE SET T, THE RELATIVE FREQUENCY OF EACH ELEMENT IN T, AND DETERMINES A PROJECTED SEQUENCE OF TRANSLATION VECTORS IN PERM.INP, WHICH ARE HIGHLY LIKELY TO OCCUR IN THE NEXT K0-ELEMENT STAR EVENT OF BASE.INP. STAT3924 IS A VARIANT OF STAT3476 AND STAT3532. THE ROUTINE RANKS STAR ELEMENTS, BUT FILTERS STAR ELEMENTS, BASED UPON WHETHER OR NOT THE NUMBER OF 0'S SUCCEEDING THE LAST 1 IN THE STAR EVENT INTERSECTION OCCURRENCE SEQUENCE EXCEEDS A DETERMINED THRESHOLD VALUE, M0, BASED UPON STAR EVENT INDEXES. STAT3924 READS UP TO 100 STAR EVENTS IN BASE.INP AND ANALYZES ELEMENTS IN THE RANGE < 1, ... , L0 >, WHERE THE MAXIMUM VALUE OF L0 IS 54. CF. ALSO STAT893, STAT894, STAT899, AND STAT933. VS. THE BASE SET OF STAR EVENTS, BUT FILTERING STAR ELEMENTS, BASED UPON WHETHER OR NOT THE INDEX OF STAR EVENT (IMAX+1-M0) IS CONGRUENT TO 0 (MOD KCT), WHERE M0 IS THE STAR INDEX OF THE FIRST OCCURRING ELEMENT 1 IN THE (0,1) - OCCURRENCE MATRIX AND KCT IS THE NUMBER OF ELAPSED EVENTS PER OCCURRENCE OF A 1 IN THE (0,1) - OCCURRENCE MATRIX FOR EACH OF THE L0 STAR ELEMENTS. M1 IS THE DESIRED THRESHOLD VALUE FOR INDEXES: M1 (MOD KCT). STAT3924 READS UP TO 100 STAR EVENTS IN BASE.INP AND ANALYZES ELEMENTS IN THE RANGE < 1, ... , L0 >, WHERE THE MAXIMUM VALUE OF L0 IS 54. CF. ALSO STAT893, STAT894, STAT899, AND STAT933. STAT3924 IS A VARIANT OF STAT934, BUT UTILIZES A DIFFERENT ALGORITHMIC TECHNIQUE FOR DETERMINING HIGH-PROBABILITY ELEMENTS. SIGNIFICANTLY, STAT3924 GENERATES PERM.OUT AND PERM2.OUT FOR PROCESSING AS PERM.INP IN STAT543, STAT3011, STAT3012, STAT3013, STAT3121. AND STAT3122. AN M0-ELEMENT PERMUTATION IS GENERATED INTO PERM7.OUT, CONSISTING OF THE HIGHEST RANKING ELEMENTS BY WEIGHT, D(L), OVER THE LAST Q0 K0-ELEMENT STAR EVENTS IN BASE.INP, WHERE D(L) = 1000 * PROBABILITY THAT ELEMENT L WILL OCCUR IN EVENT IMAX+1, IMMEDIATELY SUCCEEDING THE FINAL STAR EVENT. THE SUBSET OF M0 UNIQUE ELEMENTS IS DETERMINED FROM THE LAST Q0 STAR EVENTS SELECTED IN REAL-TIME BY THE ANALYST AND RANED VIA WEIGHTS, , WITH FORMAT: [ I2,' ).',2X,I4,2X,I4,44X,F12.6 ] FOR FURTHER ANALYSIS. AN (IMAX x K0)-DIMENSIONAL MATRIX OF OF INCREMENTS BETWEEN ADJACENT OR SUCCESSIVE PAIRS OF TENS DIGITS FOR ELEMENTS OVER THE LAST IMAX STAR EVENTS IS DETERMINED AND RECORDED IN STAT3924.OT3. MOREOVER, AN (IMAX x K0)-DIMENSIONAL MATRIX OF OF INCREMENTS BETWEEN ADJACENT OR SUCCESSIVE PAIRS OF UNITS DIGITS FOR ELEMENTS OVER THE LAST IMAX STAR EVENTS IS DETERMINED AND RECORDED IN STAT3924.OT4. A SEQUENCE OF FREQUENCIES OF ELEMENTS , L = 1 , 2 , ... , L0 IS GENERATED AS AN OUTPUT FILE, PERM.INP FOR USAGE, E.G., IN STAT3121 OR STAT3798 AS PERM.INP. A COMPUTED SEQUENCE OF IMAX K0-ELEMENT MEAN DEVIATIONS OF SUCCESSIVE PAIRS OF ELEMENTS (OVER THE K0 COLUMNS OF STAR EVENTS IN BASE.INP) IS RECORDED AS STAT3683.INP FOR FURTHER ANALYSIS IN STAT3683. A 6-ELEMENT VECTOR OF COLUMN MEANS IS GENERATED AND RECORDED IN MEANS.OUT. STAT3924 ALSO GENERATES AND RECORDS DISPLACEMENTS FROM BASE.INP INTO STAT163. A SEQUENCE OF FREQUENCIES ( FREQ(L), L=1, ... , L0 ) IS RECORDED IN PERM.INP TO BE UTILIZED AS PERM.INP IN STAT3764. STAT3924 IS A VARIANT OF STAT3832, STAT3825 AND STAT3819. THE FILE RANK2(L).OUT IS GENERATED FOR STAT3841, UTILIZED AS PERM.INP. SALIENT PERMUTATIONS ARE GENERATED IN PERM.OUT AND PERM3.OUT. RECORDED IN STAT3924.OT3 IS THE NUMBER OF [1]"s PER ELEMENT VS. JMAX STAR EVENTS PAIRED WITH THE CORREESPONDING RELARIVE FREQUENCY PER ELEMENT OVER JMAX STAR EVENTS. RECORDED IN STAT3845.INP IS THE NUMBER OF RIGHT TRAILING ZEROS, NZ0, OF EACH ELEMENT VS. THE JMAX STAR EVENTS IN BASE.INP. A PERMUTATION OF Q0 [*]-QUALIFYING ELEMENTS IS RECORDED IN PERM4.OUT, WITH NZ0(L) .GE. NLOP. AND 1 / NLOP IS THE OCCRRENCE CADENCE FOR ELEMENT L, OVER JMAX STAR EVENTS. A SEQUENCE OF WEIGHTS, < WT2(L) > , IS RECORDED IN THE FILE WT2(L).OUT, WHERE WT2(L) = 1.0 / NZ0(L) FOR EACH L, L = 1, 2, 3, ... , L0. CF. STAT94.INP FOR 11 TACITLY SELECTED HIGH-PROBABILITY K0-ELEMENT EVENTS FROM PERM.OUT. RECORDED IN PERM2.OUT IS A SEQUENCE OF ELEMENTS < F(L) > SATISFYING THE PROPERTY: TMAX(L) IS WITHIN THE INTERVAL [ -1,1 ] U ( -oo , -20 ]. ========================================================================= -- L 3925 -- MONITOR MATRIX GENERATOR XXIX FREQUENCY COUNTS FOR A SEQUENCE OF ELEMENTS < 1 , 2, ... , L0 > VS. A SEQUENCE OF STAR EVENTS III ( VARIANT OF STAT3246 AND STAT3924 ) ( PROBABILITY THAT ELEMENT L OCCURS IN THE NEXT STAR EVENT VIA A CUMULATIVE PROBABILITY DISTRIBUTION WITH CUMPROB = (NZ0(L)+1)*XPP ) READS A SEQUENCE OF IMAX STAR EVENTS ON THE ELEMENTS ON THE ELEMENTS IN T = < 1, 2, ... , L0 > DETERMINES A (0,1) - OCCURRENCE MATRIX FOR EACH OF THE L0 ELEMENTS OF THE SET T, THE RELATIVE FREQUENCY OF EACH ELEMENT IN T, AND DETERMINES A PROJECTED SEQUENCE OF TRANSLATION VECTORS IN PERM.INP, WHICH ARE HIGHLY LIKELY TO OCCUR IN THE NEXT K0-ELEMENT STAR EVENT OF BASE.INP. STAT3925 IS A VARIANT OF STAT3476 AND STAT3532. THE ROUTINE RANKS STAR ELEMENTS, BUT FILTERS STAR ELEMENTS, BASED UPON WHETHER OR NOT THE NUMBER OF 0'S SUCCEEDING THE LAST 1 IN THE STAR EVENT INTERSECTION OCCURRENCE SEQUENCE EXCEEDS A DETERMINED THRESHOLD VALUE, M0, BASED UPON STAR EVENT INDEXES. STAT3925 READS UP TO 100 STAR EVENTS IN BASE.INP AND ANALYZES ELEMENTS IN THE RANGE < 1, ... , L0 >, WHERE THE MAXIMUM VALUE OF L0 IS 54. CF. ALSO STAT893, STAT894, STAT899, AND STAT933. VS. THE BASE SET OF STAR EVENTS, BUT FILTERING STAR ELEMENTS, BASED UPON WHETHER OR NOT THE INDEX OF STAR EVENT (IMAX+1-M0) IS CONGRUENT TO 0 (MOD KCT), WHERE M0 IS THE STAR INDEX OF THE FIRST OCCURRING ELEMENT 1 IN THE (0,1) - OCCURRENCE MATRIX AND KCT IS THE NUMBER OF ELAPSED EVENTS PER OCCURRENCE OF A 1 IN THE (0,1) - OCCURRENCE MATRIX FOR EACH OF THE L0 STAR ELEMENTS. M1 IS THE DESIRED THRESHOLD VALUE FOR INDEXES: M1 (MOD KCT). STAT3925 READS UP TO 100 STAR EVENTS IN BASE.INP AND ANALYZES ELEMENTS IN THE RANGE < 1, ... , L0 >, WHERE THE MAXIMUM VALUE OF L0 IS 54. CF. ALSO STAT893, STAT894, STAT899, AND STAT933. STAT3925 IS A VARIANT OF STAT934, BUT UTILIZES A DIFFERENT ALGORITHMIC TECHNIQUE FOR DETERMINING HIGH-PROBABILITY ELEMENTS. SIGNIFICANTLY, STAT3925 GENERATES PERM.OUT AND PERM2.OUT FOR PROCESSING AS PERM.INP IN STAT543, STAT3011, STAT3012, STAT3013, STAT3121. AND STAT3122. AN M0-ELEMENT PERMUTATION IS GENERATED INTO PERM7.OUT, CONSISTING OF THE HIGHEST RANKING ELEMENTS BY WEIGHT, D(L), OVER THE LAST Q0 K0-ELEMENT STAR EVENTS IN BASE.INP, WHERE D(L) = 1000 * PROBABILITY THAT ELEMENT L WILL OCCUR IN EVENT IMAX+1, IMMEDIATELY SUCCEEDING THE FINAL STAR EVENT. THE SUBSET OF M0 UNIQUE ELEMENTS IS DETERMINED FROM THE LAST Q0 STAR EVENTS SELECTED IN REAL-TIME BY THE ANALYST AND RANED VIA WEIGHTS, , WITH FORMAT: [ I2,' ).',2X,I4,2X,I4,44X,F12.6 ] FOR FURTHER ANALYSIS. AN (IMAX x K0)-DIMENSIONAL MATRIX OF OF INCREMENTS BETWEEN ADJACENT OR SUCCESSIVE PAIRS OF TENS DIGITS FOR ELEMENTS OVER THE LAST IMAX STAR EVENTS IS DETERMINED AND RECORDED IN STAT3925.OT3. MOREOVER, AN (IMAX x K0)-DIMENSIONAL MATRIX OF OF INCREMENTS BETWEEN ADJACENT OR SUCCESSIVE PAIRS OF UNITS DIGITS FOR ELEMENTS OVER THE LAST IMAX STAR EVENTS IS DETERMINED AND RECORDED IN STAT3925.OT4. A SEQUENCE OF FREQUENCIES OF ELEMENTS , L = 1 , 2 , ... , L0 IS GENERATED AS AN OUTPUT FILE, PERM.INP FOR USAGE, E.G., IN STAT3121 OR STAT3798 AS PERM.INP. A COMPUTED SEQUENCE OF IMAX K0-ELEMENT MEAN DEVIATIONS OF SUCCESSIVE PAIRS OF ELEMENTS (OVER THE K0 COLUMNS OF STAR EVENTS IN BASE.INP) IS RECORDED AS STAT3683.INP FOR FURTHER ANALYSIS IN STAT3683. A 6-ELEMENT VECTOR OF COLUMN MEANS IS GENERATED AND RECORDED IN MEANS.OUT. STAT3925 ALSO GENERATES AND RECORDS DISPLACEMENTS FROM BASE.INP INTO STAT163. A SEQUENCE OF FREQUENCIES ( FREQ(L), L=1, ... , L0 ) IS RECORDED IN PERM.INP TO BE UTILIZED AS PERM.INP IN STAT3764. STAT3925 IS A VARIANT OF STAT3832, STAT3825 AND STAT3819. THE FILE RANK2(L).OUT IS GENERATED FOR STAT3841, UTILIZED AS PERM.INP. SALIENT PERMUTATIONS ARE GENERATED IN PERM.OUT AND PERM3.OUT. RECORDED IN STAT3925.OT3 IS THE NUMBER OF [1]"s PER ELEMENT VS. JMAX STAR EVENTS PAIRED WITH THE CORREESPONDING RELARIVE FREQUENCY PER ELEMENT OVER JMAX STAR EVENTS. RECORDED IN STAT3845.INP IS THE NUMBER OF RIGHT TRAILING ZEROS, NZ0, OF EACH ELEMENT VS. THE JMAX STAR EVENTS IN BASE.INP. A PERMUTATION OF Q0 [*]-QUALIFYING ELEMENTS IS RECORDED IN PERM4.OUT, WITH NZ0(L) .GE. NLOP. AND 1 / NLOP IS THE OCCRRENCE CADENCE FOR ELEMENT L, OVER JMAX STAR EVENTS. A SEQUENCE OF WEIGHTS, < WT2(L) > , IS RECORDED IN THE FILE WT2(L).OUT, WHERE WT2(L) = 1.0 / NZ0(L) FOR EACH L, L = 1, 2, 3, ... , L0. CF. STAT94.INP FOR 5 TACITLY SELECTED HIGH-PROBABILITY K0-ELEMENT EVENTS FROM PERM.OUT. THE TOP-RANKING ELEMENT VIA GEOMPr % IN EACH ONE OF K0 COLUMNS OF STAR EVENTS IS RECORDED IN CUMULAT.OUT. ========================================================================= -- L 3926 -- MONITOR MATRIX GENERATOR XXIX FREQUENCY COUNTS FOR A SEQUENCE OF ELEMENTS < 1 , 2, ... , L0 > VS. A SEQUENCE OF STAR EVENTS ( VARIANT OF STAT3246 ) ( PROBABILITY THAT ELEMENT L OCCURS IN THE NEXT STAR EVENT VIA A < TMAX(L) > ASCENDING RANKING ) READS A SEQUENCE OF IMAX STAR EVENTS ON THE ELEMENTS ON THE ELEMENTS IN T = < 1, 2, ... , L0 > DETERMINES A (0,1) - OCCURRENCE MATRIX FOR EACH OF THE L0 ELEMENTS OF THE SET T, THE RELATIVE FREQUENCY OF EACH ELEMENT IN T, AND DETERMINES A PROJECTED SEQUENCE OF TRANSLATION VECTORS IN PERM.INP, WHICH ARE HIGHLY LIKELY TO OCCUR IN THE NEXT K0-ELEMENT STAR EVENT OF BASE.INP. STATSTAT3926 IS A VARIANT OF STAT3476 AND STAT3532. THE ROUTINE RANKS STAR ELEMENTS, BUT FILTERS STAR ELEMENTS, BASED UPON WHETHER OR NOT THE NUMBER OF 0'S SUCCEEDING THE LAST 1 IN THE STAR EVENT INTERSECTION OCCURRENCE SEQUENCE EXCEEDS A DETERMINED THRESHOLD VALUE, M0, BASED UPON STAR EVENT INDEXES. STATSTAT3926 READS UP TO 100 STAR EVENTS IN BASE.INP AND ANALYZES ELEMENTS IN THE RANGE < 1, ... , L0 >, WHERE THE MAXIMUM VALUE OF L0 IS 54. CF. ALSO STAT893, STAT894, STAT899, AND STAT933. VS. THE BASE SET OF STAR EVENTS, BUT FILTERING STAR ELEMENTS, BASED UPON WHETHER OR NOT THE INDEX OF STAR EVENT (IMAX+1-M0) IS CONGRUENT TO 0 (MOD KCT), WHERE M0 IS THE STAR INDEX OF THE FIRST OCCURRING ELEMENT 1 IN THE (0,1) - OCCURRENCE MATRIX AND KCT IS THE NUMBER OF ELAPSED EVENTS PER OCCURRENCE OF A 1 IN THE (0,1) - OCCURRENCE MATRIX FOR EACH OF THE L0 STAR ELEMENTS. M1 IS THE DESIRED THRESHOLD VALUE FOR INDEXES: M1 (MOD KCT). STATSTAT3926 READS UP TO 100 STAR EVENTS IN BASE.INP AND ANALYZES ELEMENTS IN THE RANGE < 1, ... , L0 >, WHERE THE MAXIMUM VALUE OF L0 IS 54. CF. ALSO STAT893, STAT894, STAT899, AND STAT933. STATSTAT3926 IS A VARIANT OF STAT934, BUT UTILIZES A DIFFERENT ALGORITHMIC TECHNIQUE FOR DETERMINING HIGH-PROBABILITY ELEMENTS. SIGNIFICANTLY, STATSTAT3926 GENERATES PERM.OUT AND PERM2.OUT FOR PROCESSING AS PERM.INP IN STAT543, STAT3011, STAT3012, STAT3013, STAT3121. AND STAT3122. AN M0-ELEMENT PERMUTATION IS GENERATED INTO PERM7.OUT, CONSISTING OF THE HIGHEST RANKING ELEMENTS BY WEIGHT, D(L), OVER THE LAST Q0 K0-ELEMENT STAR EVENTS IN BASE.INP, WHERE D(L) = 1000 * PROBABILITY THAT ELEMENT L WILL OCCUR IN EVENT IMAX+1, IMMEDIATELY SUCCEEDING THE FINAL STAR EVENT. THE SUBSET OF M0 UNIQUE ELEMENTS IS DETERMINED FROM THE LAST Q0 STAR EVENTS SELECTED IN REAL-TIME BY THE ANALYST AND RANED VIA WEIGHTS, , WITH FORMAT: [ I2,' ).',2X,I4,2X,I4,44X,F12.6 ] FOR FURTHER ANALYSIS. AN (IMAX x K0)-DIMENSIONAL MATRIX OF OF INCREMENTS BETWEEN ADJACENT OR SUCCESSIVE PAIRS OF TENS DIGITS FOR ELEMENTS OVER THE LAST IMAX STAR EVENTS IS DETERMINED AND RECORDED IN STATSTAT3926.OT3. MOREOVER, AN (IMAX x K0)-DIMENSIONAL MATRIX OF OF INCREMENTS BETWEEN ADJACENT OR SUCCESSIVE PAIRS OF UNITS DIGITS FOR ELEMENTS OVER THE LAST IMAX STAR EVENTS IS DETERMINED AND RECORDED IN STATSTAT3926.OT4. A SEQUENCE OF FREQUENCIES OF ELEMENTS , L = 1 , 2 , ... , L0 IS GENERATED AS AN OUTPUT FILE, PERM.INP FOR USAGE, E.G., IN STAT3121 OR STAT3798 AS PERM.INP. A COMPUTED SEQUENCE OF IMAX K0-ELEMENT MEAN DEVIATIONS OF SUCCESSIVE PAIRS OF ELEMENTS (OVER THE K0 COLUMNS OF STAR EVENTS IN BASE.INP) IS RECORDED AS STAT3683.INP FOR FURTHER ANALYSIS IN STAT3683. A 6-ELEMENT VECTOR OF COLUMN MEANS IS GENERATED AND RECORDED IN MEANS.OUT. STATSTAT3926 ALSO GENERATES AND RECORDS DISPLACEMENTS FROM BASE.INP INTO STAT163. A SEQUENCE OF FREQUENCIES ( FREQ(L), L=1, ... , L0 ) IS RECORDED IN PERM.INP TO BE UTILIZED AS PERM.INP IN STAT3764. STATSTAT3926 IS A VARIANT OF STAT3832, STAT3825 AND STAT3819. THE FILE RANK2(L).OUT IS GENERATED FOR STAT3841, UTILIZED AS PERM.INP. SALIENT PERMUTATIONS ARE GENERATED IN PERM.OUT AND PERM3.OUT. RECORDED IN STATSTAT3926.OT3 IS THE NUMBER OF [1]"s PER ELEMENT VS. JMAX STAR EVENTS PAIRED WITH THE CORREESPONDING RELARIVE FREQUENCY PER ELEMENT OVER JMAX STAR EVENTS. RECORDED IN STAT3845.INP IS THE NUMBER OF RIGHT TRAILING ZEROS, NZ0, OF EACH ELEMENT VS. THE JMAX STAR EVENTS IN BASE.INP. A PERMUTATION OF Q0 [*]-QUALIFYING ELEMENTS IS RECORDED IN PERM4.OUT, WITH NZ0(L) .GE. NLOP. AND 1 / NLOP IS THE OCCRRENCE CADENCE FOR ELEMENT L, OVER JMAX STAR EVENTS. A SEQUENCE OF WEIGHTS, < WT2(L) > , IS RECORDED IN THE FILE WT2(L).OUT, WHERE WT2(L) = 1.0 / NZ0(L) FOR EACH L, L = 1, 2, 3, ... , L0. CF. STAT94.INP FOR 5 TACITLY SELECTED HIGH-PROBABILITY K0-ELEMENT EVENTS FROM PERM.OUT. THE TOP-RANKING ELEMENT VIA IN EACH ONE OF K0 COLUMNS OF STAR EVENTS IS RECORDED IN CUMULAT.OUT. ========================================================================= -- L 3927 -- ( PREDICTING FUTURE INTERSECTIONS FOR A CYCLIC BLOCK OF ALL POSSIBLE K0-ELEMENT EVENTS GENERATED FROM A FIXED F0-ELEMENT PERMUTATION ) ( VARIANT AND CYCLICAL VERSION OF STAT3910 ) ( PERMUTATION VARIANT OF STAT3905 FOR K0-ELEMENT QUALIFYING EVENTS VIA A GEOMETRIC PROBABILITY PDF ) ( VARIANT OF STAT3911 -- [ CASE: K0 .EQ. 6 ] ) STAT3927 READS A FIXED Q0-ELEMENT PERMUTATION ON < 1 , ... , L0 > FROM PERM.INP, A SEQUENCE OF FMAX K0-ELEMENT TRANSLATION VECTORS FROM ST0T3927.IN2, AND A SEQUENCE OF IMAX K0-ELEMENT STAR EVENTS FROM BASE.INP. THE ROUTINE GENERATES ALL POSSIBLE K0-ELEMENT EVENTS FROM PERM.INP AND EACH GENERATED EVENT IS INTERSECTED WITH EACH EVENT IN A SEQUENCE OF STAR EVENTS READ FROM FILE BASE.INP. THE ROUTINE FILTERS A SEQUENCE OF K0-ELEMENT EVENTS OF BLOCK-SIZE B. THE PROGRAM IS AUTOMATICALLY TERMINATED WHEN A SEQUENCE OF EVENTS IS GENERATED WHICH QUALIFIES AS A HIGH-PROBABILITY SEQUENCE. THE ROUTINE FLAGS THE ELEMENTS OF A DESIRED RANGE OF STAR EVENTS AS THEY OCCUR AMONG THE ELEMENTS OF EACH TEST EVENT. MOREOVER, OUTPUT TEST EVENTS ARE PRINTED IN THE FILE STAT94.INP FOR FUTURE USE BY OTHER ROUTINES. MOREOVER, THE NUMBER AND PERCENTAGE OF 0's , 1's, 2's, 3's, 4's, ... , K0's ARE COMPUTED AS DETERMINED CARDINALITIES OF INTERSECTION NUMBERS BETWEEN TEST EVENTS AND EACH EVENT IN THE RANGE OF SELECTED STAR EVENTS. A CONFIGURATION MATRIX IS GENERATED WHICH INDICATES THE ELEMENTS IN COMMON BETWEEN TEST EVENT AND THE DESIRED RANGE OF SUCCESSIVE STAR EVENTS. THE ROUTINE ALSO PREDICTS THE NEXT SUCCESSFUL INTERSECTION INDEX BETWEEN A STAR EVENT AND THE GENERATED TEST EVENT. THE ROUTINE STAT3927 FILTERS TEST EVENTS FROM PERM.INP INTO STAT3927.OUT AND STAT94.INP. INPUT EVENTS FROM PERM.INP ARE ACCEPTED AS [*]-QUALIFIED iff Property 1 : BETA % <==> GEOMPR % - REQLFRQ % .GE. UMIN, FOR A DESIRED REAL-VALUED UMIN SELECTED BY THE ANALYST. STAT3927 IS A VARIANT OF STAT13576 STREAMLINING OUTPUT UNTIL AN EXHAUSTIVE SEARCH OVER PERM.INP IS COMPLETED FOR QUALIFYING K0-ELEMENT EVENTS OF A DESIRED OR SELECTED BLOCK-SIZE. STAR INDICES ARE USED IN SELECTING QUALIFYING TEST EVENTS. CF. STAT1506 (AN EMBELLISHMENT OF STAT1323) FOR A VERSION OF STAT3927 WHICH GENERATES BLOCKS OF INPUT EVENTS RANDOMLY. STAT3927 USES A SEQUENCE OF CONSECUTIVE INDICES VS. DELTA TO GENERATE THE SPECTRUM OF EVENTS WHOSE VALUES OF DELTA MATCH THE GIVEN SEQUENCE OF INDICES WITHIN A DESIRED INTERVAL, WHERE DELTA = IMAX - ( H(II)+MOD(H(II),KCT) ). CF STAT1504. CF. STAT1619, WHICH IS THE PERMUTATION VERSION OF STAT3927. CF. ALSO STAT2383. CF. ALSO STAT1654. [*]-QUALIFYING BLOCKS ARE RANKED IN DESCENDING ORDER OF PROBABILITY FOR EACH VALUE OF TMAX, WHERE NTMAX = TMAX - KCT. CF. ALSO STAT1631. EVENTS ARE RANKED IN DESCENDING ORDER OF PROBABILITY OF OCCURRENCE ON THE NEXT TRIAL VIA A GEOMETRIC PROBABILITY PDF. CF. STAT1618 AND STAT3576. CF. STAT3905 AND STAT1618. CF. ALSO STAT3909 FOR THE CASE: K0 = 5. CF. ALSO STAT3911. ========================================================================= -- L 3928 -- MONITOR MATRIX GENERATOR XXIX FREQUENCY COUNTS FOR A SEQUENCE OF ELEMENTS < 0 , 2, ... , 9 > VS. A SEQUENCE OF STAR EVENTS ( VARIANT OF STAT3246 -- UNITS AND TENS DIGITS VERSION ) ( PROBABILITY THAT ELEMENT L OCCURS IN THE NEXT STAR EVENT VIA A CUMULATIVE PROBABILITY DISTRIBUTION ) READS A SEQUENCE OF IMAX STAR EVENTS ON THE ELEMENTS ON THE ELEMENTS IN T = < 0, 2, ... , 9 > , DETERMINES A (0,1) - OCCURRENCE MATRIX FOR EACH OF THE 10 ELEMENTS OF THE SET T, THE RELATIVE FREQUENCY OF EACH ELEMENT IN T, AND DETERMINES A PROJECTED SEQUENCE OF TRANSLATION VECTORS IN PERM.INP, WHICH ARE HIGHLY LIKELY TO OCCUR IN THE NEXT K0-ELEMENT STAR EVENT OF BASE.INP. STAT3928 IS A VARIANT OF STAT3476 AND STAT3532. THE ROUTINE RANKS STAR ELEMENTS, BUT FILTERS STAR ELEMENTS, BASED UPON WHETHER OR NOT THE NUMBER OF 0'S SUCCEEDING THE LAST 1 IN THE STAR EVENT INTERSECTION OCCURRENCE SEQUENCE EXCEEDS A DETERMINED THRESHOLD VALUE, M0, BASED UPON STAR EVENT INDEXES. STAT3928 READS UP TO 100 STAR EVENTS IN BASE.INP AND ANALYZES ELEMENTS IN THE RANGE < 0, ... , 9 >, WHERE THE MAXIMUM VALUE OF L0 IS 9. CF. ALSO STAT893, STAT894, STAT899, AND STAT933. VS. THE BASE SET OF STAR EVENTS, BUT FILTERING STAR ELEMENTS, BASED UPON WHETHER OR NOT THE INDEX OF STAR EVENT (IMAX+1-M0) IS CONGRUENT TO 0 (MOD KCT), WHERE M0 IS THE STAR INDEX OF THE FIRST OCCURRING ELEMENT 1 IN THE (0,1) - OCCURRENCE MATRIX AND KCT IS THE NUMBER OF ELAPSED EVENTS PER OCCURRENCE OF A 1 IN THE (0,1) - OCCURRENCE MATRIX FOR EACH OF THE 10 STAR ELEMENTS. M1 IS THE DESIRED THRESHOLD VALUE FOR INDEXES: M1 (MOD KCT). STAT3928 READS UP TO 100 STAR EVENTS IN BASE.INP AND ANALYZES ELEMENTS IN THE RANGE < 0, ... , 9 >, WHERE THE MAXIMUM VALUE OF L0 IS 9. CF. ALSO STAT893, STAT894, STAT899, AND STAT933. STAT3928 IS A VARIANT OF STAT934, BUT UTILIZES A DIFFERENT ALGORITHMIC TECHNIQUE FOR DETERMINING HIGH-PROBABILITY ELEMENTS. SIGNIFICANTLY, STAT3928 GENERATES PERM.OUT AND PERM2.OUT FOR PROCESSING AS PERM.INP IN STAT543, STAT3011, STAT3012, STAT3013, STAT3121. AND STAT3122. AN M0-ELEMENT PERMUTATION IS GENERATED INTO PERM7.OUT, CONSISTING OF THE HIGHEST RANKING ELEMENTS BY WEIGHT, D(L), OVER THE LAST Q0 K0-ELEMENT STAR EVENTS IN BASE.INP, WHERE D(L) = 1000 * PROBABILITY THAT ELEMENT L WILL OCCUR IN EVENT IMAX+1, IMMEDIATELY SUCCEEDING THE FINAL STAR EVENT. THE SUBSET OF M0 UNIQUE ELEMENTS IS DETERMINED FROM THE LAST Q0 STAR EVENTS SELECTED IN REAL-TIME BY THE ANALYST AND RANED VIA WEIGHTS, , WITH FORMAT: [ I2,' ).',2X,I4,2X,I4,44X,F12.6 ] FOR FURTHER ANALYSIS. AN (IMAX x K0)-DIMENSIONAL MATRIX OF OF INCREMENTS BETWEEN ADJACENT OR SUCCESSIVE PAIRS OF TENS DIGITS FOR ELEMENTS OVER THE LAST IMAX STAR EVENTS IS DETERMINED AND RECORDED IN STAT3928.OT3. MOREOVER, AN (IMAX x K0)-DIMENSIONAL MATRIX OF OF INCREMENTS BETWEEN ADJACENT OR SUCCESSIVE PAIRS OF UNITS DIGITS FOR ELEMENTS OVER THE LAST IMAX STAR EVENTS IS DETERMINED AND RECORDED IN STAT3928.OT4. A SEQUENCE OF FREQUENCIES OF ELEMENTS , L = 0 , 2 , ... , 9 IS GENERATED AS AN OUTPUT FILE, PERM.INP FOR USAGE, E.G., IN STAT3121 OR STAT3798 AS PERM.INP. A COMPUTED SEQUENCE OF IMAX K0-ELEMENT MEAN DEVIATIONS OF SUCCESSIVE PAIRS OF ELEMENTS (OVER THE K0 COLUMNS OF STAR EVENTS IN BASE.INP) IS RECORDED AS STAT3683.INP FOR FURTHER ANALYSIS IN STAT3683. A 6-ELEMENT VECTOR OF COLUMN MEANS IS GENERATED AND RECORDED IN MEANS.OUT. STAT3928 ALSO GENERATES AND RECORDS DISPLACEMENTS FROM BASE.INP INTO STAT163. A SEQUENCE OF FREQUENCIES ( FREQ(L), L = 0, ... , 9 ) IS RECORDED IN PERM.INP TO BE UTILIZED AS PERM.INP IN STAT3764. STAT3928 IS A VARIANT OF STAT3832, STAT3825 AND STAT3819. THE FILE RANK2(L).OUT IS GENERATED FOR STAT3841, UTILIZED AS PERM.INP. SALIENT PERMUTATIONS ARE GENERATED IN PERM.OUT AND PERM3.OUT. RECORDED IN STAT3928.OT3 IS THE NUMBER OF [1]"s PER ELEMENT VS. JMAX STAR EVENTS PAIRED WITH THE CORREESPONDING RELARIVE FREQUENCY PER ELEMENT OVER JMAX STAR EVENTS. RECORDED IN STAT3845.INP IS THE NUMBER OF RIGHT TRAILING ZEROS, NZ0, OF EACH ELEMENT VS. THE JMAX STAR EVENTS IN BASE.INP. A PERMUTATION OF Q0 [*]-QUALIFYING ELEMENTS IS RECORDED IN PERM4.OUT, WITH NZ0(L) .GE. NLOP. AND 1 / NLOP IS THE OCCRRENCE CADENCE FOR ELEMENT L, OVER JMAX STAR EVENTS. A SEQUENCE OF WEIGHTS, < WT2(L) > , IS RECORDED IN THE FILE WT2(L).OUT, WHERE WT2(L) = 1.0 / NZ0(L) FOR EACH L, L = 0, 2, 3, ... , 9. CF. STAT94.INP FOR 5 TACITLY SELECTED HIGH-PROBABILITY K0-ELEMENT EVENTS FROM PERM.OUT. THE TOP-RANKING ELEMENT VIA GEOMPr % IN EACH ONE OF K0 COLUMNS OF STAR EVENTS IS RECORDED IN CUMULAT.OUT. ========================================================================= -- L 3929 -- MONITOR MATRIX GENERATOR XXIX FREQUENCY COUNTS FOR A SEQUENCE OF ELEMENTS < 0 , 2, ... , 9 > VS. A SEQUENCE OF STAR EVENTS ( VARIANT OF STAT3246 AND STAT3928 -- SPECIAL CASE: L = 0 ) ( PROBABILITY THAT ELEMENT L OCCURS IN THE NEXT STAR EVENT VIA A CUMULATIVE PROBABILITY DISTRIBUTION ) READS A SEQUENCE OF IMAX STAR EVENTS ON THE ELEMENTS ON THE ELEMENTS IN T = < 0, 2, ... , 9 > , DETERMINES A (0,1) - OCCURRENCE MATRIX FOR THE SPECIAL ELEMENT CASE: L = 0 . THE RELATIVE FREQUENCY OF EACH ELEMENT IN T, AND DETERMINES A PROJECTED SEQUENCE OF TRANSLATION VECTORS IN PERM.INP, WHICH ARE HIGHLY LIKELY TO OCCUR IN THE NEXT K0-ELEMENT STAR EVENT OF BASE.INP. STAT3929 IS A VARIANT OF STAT3476 AND STAT3532. THE ROUTINE RANKS STAR ELEMENTS, BUT FILTERS STAR ELEMENTS, BASED UPON WHETHER OR NOT THE NUMBER OF 0'S SUCCEEDING THE LAST 1 IN THE STAR EVENT INTERSECTION OCCURRENCE SEQUENCE EXCEEDS A DETERMINED THRESHOLD VALUE, M0, BASED UPON STAR EVENT INDEXES. STAT3929 READS UP TO 100 STAR EVENTS IN BASE.INP AND ANALYZES ELEMENTS IN THE RANGE < 0, ... , 9 >, WHERE THE MAXIMUM VALUE OF L0 IS 9. CF. ALSO STAT893, STAT894, STAT899, AND STAT933. VS. THE BASE SET OF STAR EVENTS, BUT FILTERING STAR ELEMENTS, BASED UPON WHETHER OR NOT THE INDEX OF STAR EVENT (IMAX+1-M0) IS CONGRUENT TO 0 (MOD KCT), WHERE M0 IS THE STAR INDEX OF THE FIRST OCCURRING ELEMENT 1 IN THE (0,1) - OCCURRENCE MATRIX AND KCT IS THE NUMBER OF ELAPSED EVENTS PER OCCURRENCE OF A 1 IN THE (0,1) - OCCURRENCE MATRIX FOR EACH OF THE 10 STAR ELEMENTS. M1 IS THE DESIRED THRESHOLD VALUE FOR INDEXES: M1 (MOD KCT). STAT3929 READS UP TO 100 STAR EVENTS IN BASE.INP AND ANALYZES ELEMENTS IN THE RANGE < 0, ... , 9 >, WHERE THE MAXIMUM VALUE OF L0 IS 9. CF. ALSO STAT893, STAT894, STAT899, AND STAT933. STAT3929 IS A VARIANT OF STAT934, BUT UTILIZES A DIFFERENT ALGORITHMIC TECHNIQUE FOR DETERMINING HIGH-PROBABILITY ELEMENTS. SIGNIFICANTLY, STAT3929 GENERATES PERM.OUT AND PERM2.OUT FOR PROCESSING AS PERM.INP IN STAT543, STAT3011, STAT3012, STAT3013, STAT3121. AND STAT3122. AN M0-ELEMENT PERMUTATION IS GENERATED INTO PERM7.OUT, CONSISTING OF THE HIGHEST RANKING ELEMENTS BY WEIGHT, D(L), OVER THE LAST Q0 K0-ELEMENT STAR EVENTS IN BASE.INP, WHERE D(L) = 1000 * PROBABILITY THAT ELEMENT L WILL OCCUR IN EVENT IMAX+1, IMMEDIATELY SUCCEEDING THE FINAL STAR EVENT. THE SUBSET OF M0 UNIQUE ELEMENTS IS DETERMINED FROM THE LAST Q0 STAR EVENTS SELECTED IN REAL-TIME BY THE ANALYST AND RANED VIA WEIGHTS, , WITH FORMAT: [ I2,' ).',2X,I4,2X,I4,44X,F12.6 ] FOR FURTHER ANALYSIS. AN (IMAX x K0)-DIMENSIONAL MATRIX OF OF INCREMENTS BETWEEN ADJACENT OR SUCCESSIVE PAIRS OF TENS DIGITS FOR ELEMENTS OVER THE LAST IMAX STAR EVENTS IS DETERMINED AND RECORDED IN STAT3929.OT3. MOREOVER, AN (IMAX x K0)-DIMENSIONAL MATRIX OF OF INCREMENTS BETWEEN ADJACENT OR SUCCESSIVE PAIRS OF UNITS DIGITS FOR ELEMENTS OVER THE LAST IMAX STAR EVENTS IS DETERMINED AND RECORDED IN STAT3929.OT4. A SEQUENCE OF FREQUENCIES OF ELEMENTS , L = 0 , 2 , ... , 9 IS GENERATED AS AN OUTPUT FILE, PERM.INP FOR USAGE, E.G., IN STAT3121 OR STAT3798 AS PERM.INP. A COMPUTED SEQUENCE OF IMAX K0-ELEMENT MEAN DEVIATIONS OF SUCCESSIVE PAIRS OF ELEMENTS (OVER THE K0 COLUMNS OF STAR EVENTS IN BASE.INP) IS RECORDED AS STAT3683.INP FOR FURTHER ANALYSIS IN STAT3683. A 6-ELEMENT VECTOR OF COLUMN MEANS IS GENERATED AND RECORDED IN MEANS.OUT. STAT3929 ALSO GENERATES AND RECORDS DISPLACEMENTS FROM BASE.INP INTO STAT163. A SEQUENCE OF FREQUENCIES ( FREQ(L), L = 0, ... , 9 ) IS RECORDED IN PERM.INP TO BE UTILIZED AS PERM.INP IN STAT3764. STAT3929 IS A VARIANT OF STAT3832, STAT3825 AND STAT3819. THE FILE RANK2(L).OUT IS GENERATED FOR STAT3841, UTILIZED AS PERM.INP. SALIENT PERMUTATIONS ARE GENERATED IN PERM.OUT AND PERM3.OUT. RECORDED IN STAT3929.OT3 IS THE NUMBER OF [1]"s PER ELEMENT VS. JMAX STAR EVENTS PAIRED WITH THE CORREESPONDING RELARIVE FREQUENCY PER ELEMENT OVER JMAX STAR EVENTS. RECORDED IN STAT3845.INP IS THE NUMBER OF RIGHT TRAILING ZEROS, NZ0, OF EACH ELEMENT VS. THE JMAX STAR EVENTS IN BASE.INP. A PERMUTATION OF Q0 [*]-QUALIFYING ELEMENTS IS RECORDED IN PERM4.OUT, WITH NZ0(L) .GE. NLOP. AND 1 / NLOP IS THE OCCRRENCE CADENCE FOR ELEMENT L, OVER JMAX STAR EVENTS. A SEQUENCE OF WEIGHTS, < WT2(L) > , IS RECORDED IN THE FILE WT2(L).OUT, WHERE WT2(L) = 1.0 / NZ0(L) FOR EACH L, L = 0, 2, 3, ... , 9. CF. STAT94.INP FOR 5 TACITLY SELECTED HIGH-PROBABILITY K0-ELEMENT EVENTS FROM PERM.OUT. THE TOP-RANKING ELEMENT VIA GEOMPr % IN EACH ONE OF K0 COLUMNS OF STAR EVENTS IS RECORDED IN CUMULAT.OUT. ========================================================================= -- L 3930 -- ( CONSTRUCTING ELEMENTS FROM A PAIR OF PERMUTATIONS WHICH CONSIST OF TENS DIGITS VS. UNITS DIGITS, RESPECTIVELY ) STAT3930 READS FROM PERM.INP A P1-ELEMENT PERMUTATION P, CONSISTING OF TENS DIGITS, AND A P2-ELEMENT PERMUTATION Q, CONSISTING OF UNITS DIGITS (BOTH GENERATED VIA STAT3928 AND STAT3929). THE ROUTINE THEN TACITLY GENERATES A P1*P2-ELEMENT PERMUTATION V, FROM THE RECORDED UNITS AND TENS DIGITS FOR FURTHER ANALYSIS. ========================================================================= -- L 3931 -- ( PREDICTING FUTURE INTERSECTIONS FOR A CYCLIC BLOCK OF ALL POSSIBLE K0-ELEMENT EVENTS GENERATED FROM A FIXED F0-ELEMENT PERMUTATION ) XXXXXXI ( PERMUTATION VARIANT OF STAT3905 FOR K0-ELEMENT QUALIFYING EVENTS VIA A GEOMETRIC PROBABILITY PDF ) ( VARIANT OF STAT3911 -- [ CASE: K0 .EQ. 6 ] ) ( GEOMETRIC PROBABILITY PDF VARIANT OF STAT3909 AND STAT1618 ) STAT3910 READS A FIXED Q0-ELEMENT PERMUTATION ON < 1 , ... , L0 > FROM PERM.INP, A SEQUENCE OF FMAX K0-ELEMENT TRANSLATION VECTORS FROM ST0T3910.IN2, AND A SEQUENCE OF IMAX K0-ELEMENT STAR EVENTS FROM BASE.INP. THE ROUTINE GENERATES ALL POSSIBLE K0-ELEMENT EVENTS FROM PERM.INP AND EACH GENERATED EVENT IS INTERSECTED WITH EACH EVENT IN A SEQUENCE OF STAR EVENTS READ FROM FILE BASE.INP. THE ROUTINE FILTERS A SEQUENCE OF K0-ELEMENT EVENTS OF BLOCK-SIZE B. THE PROGRAM IS AUTOMATICALLY TERMINATED WHEN A SEQUENCE OF EVENTS IS GENERATED WHICH QUALIFIES AS A HIGH-PROBABILITY SEQUENCE. THE ROUTINE FLAGS THE ELEMENTS OF A DESIRED RANGE OF STAR EVENTS AS THEY OCCUR AMONG THE ELEMENTS OF EACH TEST EVENT. MOREOVER, OUTPUT TEST EVENTS ARE PRINTED IN THE FILE STAT94.INP FOR FUTURE USE BY OTHER ROUTINES. MOREOVER, THE NUMBER AND PERCENTAGE OF 0's , 1's, 2's, 3's, 4's, ... , K0's ARE COMPUTED AS DETERMINED CARDINALITIES OF INTERSECTION NUMBERS BETWEEN TEST EVENTS AND EACH EVENT IN THE RANGE OF SELECTED STAR EVENTS. A CONFIGURATION MATRIX IS GENERATED WHICH INDICATES THE ELEMENTS IN COMMON BETWEEN TEST EVENT AND THE DESIRED RANGE OF SUCCESSIVE STAR EVENTS. THE ROUTINE ALSO PREDICTS THE NEXT SUCCESSFUL INTERSECTION INDEX BETWEEN A STAR EVENT AND THE GENERATED TEST EVENT. THE ROUTINE STAT3910 FILTERS TEST EVENTS FROM PERM.INP INTO STAT3910.OUT AND STAT94.INP. INPUT EVENTS FROM PERM.INP ARE ACCEPTED AS [*]-QUALIFIED iff Property 1 : TMAX IN THE INTERVAL [ T1,T2 ] AND | TMAX | .GE. KCT, WHERE 1/KCT IS THE OCCURRENCE CADENCE OVER ALL STAR EVENTS. STAT3910 IS A VARIANT OF STAT13576 STREAMLINING OUTPUT UNTIL AN EXHAUSTIVE SEARCH OVER PERM.INP IS COMPLETED FOR QUALIFYING K0-ELEMENT EVENTS OF A DESIRED OR SELECTED BLOCK-SIZE. STAR INDICES ARE USED IN SELECTING QUALIFYING TEST EVENTS. CF. STAT1506 (AN EMBELLISHMENT OF STAT1323) FOR A VERSION OF STAT3910 WHICH GENERATES BLOCKS OF INPUT EVENTS RANDOMLY. STAT3910 USES A SEQUENCE OF CONSECUTIVE INDICES VS. DELTA TO GENERATE THE SPECTRUM OF EVENTS WHOSE VALUES OF DELTA MATCH THE GIVEN SEQUENCE OF INDICES WITHIN A DESIRED INTERVAL, WHERE DELTA = IMAX - ( H(II)+MOD(H(II),KCT) ). CF STAT1504. CF. STAT1619, WHICH IS THE PERMUTATION VERSION OF STAT3910. CF. ALSO STAT2383. CF. ALSO STAT1654. [*]-QUALIFYING BLOCKS ARE RANKED IN DESCENDING ORDER OF PROBABILITY FOR EACH VALUE OF TMAX, WHERE NTMAX = TMAX - KCT. CF. ALSO STAT1631. EVENTS ARE RANKED IN DESCENDING ORDER OF PROBABILITY OF OCCURRENCE ON THE NEXT TRIAL VIA A CUMULATIVE PROBABILITY PDF. CF. STAT1618 AND STAT3576. CF. STAT3905 AND STAT1618. CF. ALSO STAT3909 FOR THE CASE: K0 = 5. A CUMULATIVE FILE OF GENERATED [*]-QUALIFYING TEST EVENTS IS RECORDED IN CUMULAT.OUT. CF. ALSO STAT3911. ========================================================================= -- L 3932 -- MONITOR MATRIX GENERATOR XXIX FREQUENCY COUNTS FOR A SEQUENCE OF ELEMENTS < 1 , 2, ... , L0 > VS. A SEQUENCE OF STAR EVENTS ( VARIANT OF STAT3933, RELATIVE FREQUENCY VERSION ) ( PROBABILITY THAT ELEMENT L OCCURS IN THE NEXT STAR EVENT VIA A RELAIVE FREQUENCY PROBABILITY DISTRIBUTION ) READS A SEQUENCE OF IMAX STAR EVENTS ON THE ELEMENTS ON THE ELEMENTS IN T = < 1, 2, ... , L0 > DETERMINES A (0,1) - OCCURRENCE MATRIX FOR EACH OF THE L0 ELEMENTS OF THE SET T, THE RELATIVE FREQUENCY OF EACH ELEMENT IN T, AND DETERMINES A PROJECTED SEQUENCE OF TRANSLATION VECTORS IN PERM.INP, WHICH ARE HIGHLY LIKELY TO OCCUR IN THE NEXT K0-ELEMENT STAR EVENT OF BASE.INP. STAT3932 IS A VARIANT OF STAT3476 AND STAT3532. THE ROUTINE RANKS STAR ELEMENTS, BUT FILTERS STAR ELEMENTS, BASED UPON WHETHER OR NOT THE NUMBER OF 0'S SUCCEEDING THE LAST 1 IN THE STAR EVENT INTERSECTION OCCURRENCE SEQUENCE EXCEEDS A DETERMINED THRESHOLD VALUE, M0, BASED UPON STAR EVENT INDEXES. STAT3932 READS UP TO 100 STAR EVENTS IN BASE.INP AND ANALYZES ELEMENTS IN THE RANGE < 1, ... , L0 >, WHERE THE MAXIMUM VALUE OF L0 IS 54. CF. ALSO STAT893, STAT894, STAT899, AND STAT933. VS. THE BASE SET OF STAR EVENTS, BUT FILTERING STAR ELEMENTS, BASED UPON WHETHER OR NOT THE INDEX OF STAR EVENT (IMAX+1-M0) IS CONGRUENT TO 0 (MOD KCT), WHERE M0 IS THE STAR INDEX OF THE FIRST OCCURRING ELEMENT 1 IN THE (0,1) - OCCURRENCE MATRIX AND KCT IS THE NUMBER OF ELAPSED EVENTS PER OCCURRENCE OF A 1 IN THE (0,1) - OCCURRENCE MATRIX FOR EACH OF THE L0 STAR ELEMENTS. M1 IS THE DESIRED THRESHOLD VALUE FOR INDEXES: M1 (MOD KCT). STAT3932 READS UP TO 100 STAR EVENTS IN BASE.INP AND ANALYZES ELEMENTS IN THE RANGE < 1, ... , L0 >, WHERE THE MAXIMUM VALUE OF L0 IS 54. CF. ALSO STAT893, STAT894, STAT899, AND STAT933. STAT3932 IS A VARIANT OF STAT934, BUT UTILIZES A DIFFERENT ALGORITHMIC TECHNIQUE FOR DETERMINING HIGH-PROBABILITY ELEMENTS. SIGNIFICANTLY, STAT3932 GENERATES PERM.OUT AND PERM2.OUT FOR PROCESSING AS PERM.INP IN STAT543, STAT3011, STAT3012, STAT3013, STAT3121. AND STAT3122. AN M0-ELEMENT PERMUTATION IS GENERATED INTO PERM7.OUT, CONSISTING OF THE HIGHEST RANKING ELEMENTS BY WEIGHT, D(L), OVER THE LAST Q0 K0-ELEMENT STAR EVENTS IN BASE.INP, WHERE D(L) = 1000 * PROBABILITY THAT ELEMENT L WILL OCCUR IN EVENT IMAX+1, IMMEDIATELY SUCCEEDING THE FINAL STAR EVENT. THE SUBSET OF M0 UNIQUE ELEMENTS IS DETERMINED FROM THE LAST Q0 STAR EVENTS SELECTED IN REAL-TIME BY THE ANALYST AND RANED VIA WEIGHTS, , WITH FORMAT: [ I2,' ).',2X,I4,2X,I4,44X,F12.6 ] FOR FURTHER ANALYSIS. AN (IMAX x K0)-DIMENSIONAL MATRIX OF OF INCREMENTS BETWEEN ADJACENT OR SUCCESSIVE PAIRS OF TENS DIGITS FOR ELEMENTS OVER THE LAST IMAX STAR EVENTS IS DETERMINED AND RECORDED IN STAT3932.OT3. MOREOVER, AN (IMAX x K0)-DIMENSIONAL MATRIX OF OF INCREMENTS BETWEEN ADJACENT OR SUCCESSIVE PAIRS OF UNITS DIGITS FOR ELEMENTS OVER THE LAST IMAX STAR EVENTS IS DETERMINED AND RECORDED IN STAT3932.OT4. A SEQUENCE OF FREQUENCIES OF ELEMENTS , L = 1 , 2 , ... , L0 IS GENERATED AS AN OUTPUT FILE, PERM.INP FOR USAGE, E.G., IN STAT3121 OR STAT3798 AS PERM.INP. A COMPUTED SEQUENCE OF IMAX K0-ELEMENT MEAN DEVIATIONS OF SUCCESSIVE PAIRS OF ELEMENTS (OVER THE K0 COLUMNS OF STAR EVENTS IN BASE.INP) IS RECORDED AS STAT3683.INP FOR FURTHER ANALYSIS IN STAT3683. A 6-ELEMENT VECTOR OF COLUMN MEANS IS GENERATED AND RECORDED IN MEANS.OUT. STAT3932 ALSO GENERATES AND RECORDS DISPLACEMENTS FROM BASE.INP INTO STAT163. A SEQUENCE OF FREQUENCIES ( FREQ(L), L=1, ... , L0 ) IS RECORDED IN PERM.INP TO BE UTILIZED AS PERM.INP IN STAT3764. STAT3932 IS A VARIANT OF STAT3832, STAT3825 AND STAT3819. THE FILE RANK2(L).OUT IS GENERATED FOR STAT3841, UTILIZED AS PERM.INP. SALIENT PERMUTATIONS ARE GENERATED IN PERM.OUT AND PERM3.OUT. RECORDED IN STAT3932.OT3 IS THE NUMBER OF [1]"s PER ELEMENT VS. JMAX STAR EVENTS PAIRED WITH THE CORREESPONDING RELARIVE FREQUENCY PER ELEMENT OVER JMAX STAR EVENTS. RECORDED IN STAT3845.INP IS THE NUMBER OF RIGHT TRAILING ZEROS, NZ0, OF EACH ELEMENT VS. THE JMAX STAR EVENTS IN BASE.INP. A PERMUTATION OF Q0 [*]-QUALIFYING ELEMENTS IS RECORDED IN PERM4.OUT, WITH NZ0(L) .GE. NLOP. AND 1 / NLOP IS THE OCCRRENCE CADENCE FOR ELEMENT L, OVER JMAX STAR EVENTS. A SEQUENCE OF WEIGHTS, < WT2(L) > , IS RECORDED IN THE FILE WT2(L).OUT, WHERE WT2(L) = 1.0 / NZ0(L) FOR EACH L, L = 1, 2, 3, ... , L0. CF. STAT94.INP FOR 5 TACITLY SELECTED HIGH-PROBABILITY K0-ELEMENT EVENTS FROM PERM.OUT. THE TOP-RANKING ELEMENTS VIA REL. FREQ % IN EACH ONE OF K0 COLUMNS OF STAR EVENTS IS RECORDED IN STAT94.INP. ========================================================================= -- L 3933 -- MONITOR MATRIX GENERATOR XXIX FREQUENCY COUNTS FOR A SEQUENCE OF ELEMENTS < 1 , 2, ... , L0 > VS. A SEQUENCE OF STAR EVENTS II ( VARIANT OF STAT3932, RELATIVE FREQUENCY VERSION ) ( PROBABILITY THAT ELEMENT L OCCURS IN THE NEXT STAR EVENT VIA A GEOMETRIC PROBABILITY DISTRIBUTION ) ( RANKS AND FILTERS ELEMENTS L VIA [ GEOMPr(L) , NZ0(L) ) READS A SEQUENCE OF IMAX STAR EVENTS ON THE ELEMENTS ON THE ELEMENTS IN T = < 1, 2, ... , L0 > DETERMINES A (0,1) - OCCURRENCE MATRIX FOR EACH OF THE L0 ELEMENTS OF THE SET T, THE RELATIVE FREQUENCY OF EACH ELEMENT IN T, AND DETERMINES A PROJECTED SEQUENCE OF TRANSLATION VECTORS IN PERM.INP, WHICH ARE HIGHLY LIKELY TO OCCUR IN THE NEXT K0-ELEMENT STAR EVENT OF BASE.INP. STAT3933 IS A VARIANT OF STAT3476 AND STAT3532. THE ROUTINE RANKS STAR ELEMENTS, BUT FILTERS STAR ELEMENTS, BASED UPON WHETHER OR NOT THE NUMBER OF 0'S SUCCEEDING THE LAST 1 IN THE STAR EVENT INTERSECTION OCCURRENCE SEQUENCE EXCEEDS A DETERMINED THRESHOLD VALUE, M0, BASED UPON STAR EVENT INDEXES. STAT3933 READS UP TO 100 STAR EVENTS IN BASE.INP AND ANALYZES ELEMENTS IN THE RANGE < 1, ... , L0 >, WHERE THE MAXIMUM VALUE OF L0 IS 54. CF. ALSO STAT893, STAT894, STAT899, AND STAT933. VS. THE BASE SET OF STAR EVENTS, BUT FILTERING STAR ELEMENTS, BASED UPON WHETHER OR NOT THE INDEX OF STAR EVENT (IMAX+1-M0) IS CONGRUENT TO 0 (MOD KCT), WHERE M0 IS THE STAR INDEX OF THE FIRST OCCURRING ELEMENT 1 IN THE (0,1) - OCCURRENCE MATRIX AND KCT IS THE NUMBER OF ELAPSED EVENTS PER OCCURRENCE OF A 1 IN THE (0,1) - OCCURRENCE MATRIX FOR EACH OF THE L0 STAR ELEMENTS. M1 IS THE DESIRED THRESHOLD VALUE FOR INDEXES: M1 (MOD KCT). STAT3933 READS UP TO 100 STAR EVENTS IN BASE.INP AND ANALYZES ELEMENTS IN THE RANGE < 1, ... , L0 >, WHERE THE MAXIMUM VALUE OF L0 IS 54. CF. ALSO STAT893, STAT894, STAT899, AND STAT933. STAT3933 IS A VARIANT OF STAT934, BUT UTILIZES A DIFFERENT ALGORITHMIC TECHNIQUE FOR DETERMINING HIGH-PROBABILITY ELEMENTS. SIGNIFICANTLY, STAT3933 GENERATES PERM.OUT AND PERM2.OUT FOR PROCESSING AS PERM.INP IN STAT543, STAT3011, STAT3012, STAT3013, STAT3121. AND STAT3122. AN M0-ELEMENT PERMUTATION IS GENERATED INTO PERM7.OUT, CONSISTING OF THE HIGHEST RANKING ELEMENTS BY WEIGHT, D(L), OVER THE LAST Q0 K0-ELEMENT STAR EVENTS IN BASE.INP, WHERE D(L) = 1000 * PROBABILITY THAT ELEMENT L WILL OCCUR IN EVENT IMAX+1, IMMEDIATELY SUCCEEDING THE FINAL STAR EVENT. THE SUBSET OF M0 UNIQUE ELEMENTS IS DETERMINED FROM THE LAST Q0 STAR EVENTS SELECTED IN REAL-TIME BY THE ANALYST AND RANED VIA WEIGHTS, , WITH FORMAT: [ I2,' ).',2X,I4,2X,I4,44X,F12.6 ] FOR FURTHER ANALYSIS. AN (IMAX x K0)-DIMENSIONAL MATRIX OF OF INCREMENTS BETWEEN ADJACENT OR SUCCESSIVE PAIRS OF TENS DIGITS FOR ELEMENTS OVER THE LAST IMAX STAR EVENTS IS DETERMINED AND RECORDED IN STAT3933.OT3. MOREOVER, AN (IMAX x K0)-DIMENSIONAL MATRIX OF OF INCREMENTS BETWEEN ADJACENT OR SUCCESSIVE PAIRS OF UNITS DIGITS FOR ELEMENTS OVER THE LAST IMAX STAR EVENTS IS DETERMINED AND RECORDED IN STAT3933.OT4. A SEQUENCE < GEOMPr(L) > OF ELEMENTS , L = 1 , 2 , ... , L0 IS GENERATED AS AN OUTPUT FILE, PERM.INP FOR USAGE, E.G., IN STAT3121 OR STAT3798 AS PERM.INP. A COMPUTED SEQUENCE OF IMAX K0-ELEMENT MEAN DEVIATIONS OF SUCCESSIVE PAIRS OF ELEMENTS (OVER THE K0 COLUMNS OF STAR EVENTS IN BASE.INP) IS RECORDED AS STAT3683.INP FOR FURTHER ANALYSIS IN STAT3683. A 6-ELEMENT VECTOR OF COLUMN MEANS IS GENERATED AND RECORDED IN MEANS.OUT. STAT3933 ALSO GENERATES AND RECORDS DISPLACEMENTS FROM BASE.INP INTO STAT163. A SEQUENCE OF PROBABILITIES ( GEOMPr(L), L=1, ... , L0 ) IS RECORDED IN PERM.INP TO BE UTILIZED AS PERM.INP IN STAT3764. STAT3933 IS A VARIANT OF STAT3832, STAT3825 AND STAT3819. THE FILE RANK2(L).OUT IS GENERATED FOR STAT3841, UTILIZED AS PERM.INP. SALIENT PERMUTATIONS ARE GENERATED IN PERM.OUT AND PERM3.OUT. RECORDED IN STAT3933.OT3 IS THE NUMBER OF [1]"s PER ELEMENT VS. JMAX STAR EVENTS PAIRED WITH THE CORREESPONDING GEOMPr(L) PER ELEMENT OVER JMAX STAR EVENTS. RECORDED IN STAT3845.INP IS THE NUMBER OF RIGHT TRAILING ZEROS, NZ0, OF EACH ELEMENT VS. THE JMAX STAR EVENTS IN BASE.INP. A PERMUTATION OF Q0 [*]-QUALIFYING ELEMENTS IS RECORDED IN PERM4.OUT, WITH NZ0(L) .GE. NLOP. AND 1 / NLOP IS THE OCCRRENCE CADENCE FOR ELEMENT L, OVER JMAX STAR EVENTS. A SEQUENCE OF WEIGHTS, < WT2(L) > , IS RECORDED IN THE FILE WT2(L).OUT, WHERE WT2(L) = 1.0 / NZ0(L) FOR EACH L, L = 1, 2, 3, ... , L0. CF. STAT94.INP FOR 5 TACITLY SELECTED HIGH-PROBABILITY K0-ELEMENT EVENTS FROM PERM.OUT. THE TOP-RANKING ELEMENT VIA GEOMPr % IN EACH ONE OF K0 COLUMNS OF STAR EVENTS IS RECORDED IN CUMULAT.OUT. ELEMENTS ARE RANKED FILTERED, AND RECORDED IN PERM2.OUT AND WT(L).OUT VIA THE METRICS [ V0 , NZ0_MAX ] for PP(L) AND NZ0(L), RESPECTIVELY. ========================================================================= -- L 3934 -- MONITOR MATRIX GENERATOR XXXX FREQUENCY COUNTS FOR A SEQUENCE OF ELEMENTS < 1 , 2, ... , L0 > VS. A SEQUENCE OF STAR EVENTS IV ( VARIANT OF STAT3933 AND STAT3940, GEOMETRIC PROBABILITY VERSION ) ( PROBABILITY THAT ELEMENT L OCCURS IN THE NEXT STAR EVENT VIA A RELATIVE FREQUENCY PROBABILITY DISTRIBUTION ) ( RANKS AND FILTERS ELEMENTS L VIA GEOMPr(L) ) READS A SEQUENCE OF IMAX STAR EVENTS ON THE ELEMENTS ON THE ELEMENTS IN T = < 1, 2, ... , L0 > DETERMINES A (0,1) - OCCURRENCE MATRIX FOR EACH OF THE L0 ELEMENTS OF THE SET T, THE RELATIVE FREQUENCY OF EACH ELEMENT IN T, AND DETERMINES A PROJECTED SEQUENCE OF TRANSLATION VECTORS IN PERM.INP, WHICH ARE HIGHLY LIKELY TO OCCUR IN THE NEXT K0-ELEMENT STAR EVENT OF BASE.INP. STAT3934 IS A VARIANT OF STAT3476 AND STAT3532. THE ROUTINE RANKS STAR ELEMENTS, BUT FILTERS STAR ELEMENTS, BASED UPON WHETHER OR NOT THE NUMBER OF 0'S SUCCEEDING THE LAST 1 IN THE STAR EVENT INTERSECTION OCCURRENCE SEQUENCE EXCEEDS A DETERMINED THRESHOLD VALUE, M0, BASED UPON STAR EVENT INDEXES. STAT3934 READS UP TO 100 STAR EVENTS IN BASE.INP AND ANALYZES ELEMENTS IN THE RANGE < 1, ... , L0 >, WHERE THE MAXIMUM VALUE OF L0 IS 54. CF. ALSO STAT893, STAT894, STAT899, AND STAT933. VS. THE BASE SET OF STAR EVENTS, BUT FILTERING STAR ELEMENTS, BASED UPON WHETHER OR NOT THE INDEX OF STAR EVENT (IMAX+1-M0) IS CONGRUENT TO 0 (MOD KCT), WHERE M0 IS THE STAR INDEX OF THE FIRST OCCURRING ELEMENT 1 IN THE (0,1) - OCCURRENCE MATRIX AND KCT IS THE NUMBER OF ELAPSED EVENTS PER OCCURRENCE OF A 1 IN THE (0,1) - OCCURRENCE MATRIX FOR EACH OF THE L0 STAR ELEMENTS. M1 IS THE DESIRED THRESHOLD VALUE FOR INDEXES: M1 (MOD KCT). STAT3934 READS UP TO 100 STAR EVENTS IN BASE.INP AND ANALYZES ELEMENTS IN THE RANGE < 1, ... , L0 >, WHERE THE MAXIMUM VALUE OF L0 IS 54. CF. ALSO STAT893, STAT894, STAT899, AND STAT933. STAT3934 IS A VARIANT OF STAT934, BUT UTILIZES A DIFFERENT ALGORITHMIC TECHNIQUE FOR DETERMINING HIGH-PROBABILITY ELEMENTS. SIGNIFICANTLY, STAT3934 GENERATES PERM.OUT AND PERM2.OUT FOR PROCESSING AS PERM.INP IN STAT543, STAT3011, STAT3012, STAT3013, STAT3121. AND STAT3122. AN M0-ELEMENT PERMUTATION IS GENERATED INTO PERM7.OUT, CONSISTING OF THE HIGHEST RANKING ELEMENTS BY WEIGHT, D(L), OVER THE LAST Q0 K0-ELEMENT STAR EVENTS IN BASE.INP, WHERE D(L) = 1000 * PROBABILITY THAT ELEMENT L WILL OCCUR IN EVENT IMAX+1, IMMEDIATELY SUCCEEDING THE FINAL STAR EVENT. THE SUBSET OF M0 UNIQUE ELEMENTS IS DETERMINED FROM THE LAST Q0 STAR EVENTS SELECTED IN REAL-TIME BY THE ANALYST AND RANED VIA WEIGHTS, , WITH FORMAT: [ I2,' ).',2X,I4,2X,I4,44X,F12.6 ] FOR FURTHER ANALYSIS. AN (IMAX x K0)-DIMENSIONAL MATRIX OF OF INCREMENTS BETWEEN ADJACENT OR SUCCESSIVE PAIRS OF TENS DIGITS FOR ELEMENTS OVER THE LAST IMAX STAR EVENTS IS DETERMINED AND RECORDED IN STAT3934.OT3. MOREOVER, AN (IMAX x K0)-DIMENSIONAL MATRIX OF OF INCREMENTS BETWEEN ADJACENT OR SUCCESSIVE PAIRS OF UNITS DIGITS FOR ELEMENTS OVER THE LAST IMAX STAR EVENTS IS DETERMINED AND RECORDED IN STAT3934.OT4. A SEQUENCE OF FREQUENCIES OF ELEMENTS , L = 1 , 2 , ... , L0 IS GENERATED AS AN OUTPUT FILE, PERM.INP FOR USAGE, E.G., IN STAT3121 OR STAT3798 AS PERM.INP. A COMPUTED SEQUENCE OF IMAX K0-ELEMENT MEAN DEVIATIONS OF SUCCESSIVE PAIRS OF ELEMENTS (OVER THE K0 COLUMNS OF STAR EVENTS IN BASE.INP) IS RECORDED AS STAT3683.INP FOR FURTHER ANALYSIS IN STAT3683. A 6-ELEMENT VECTOR OF COLUMN MEANS IS GENERATED AND RECORDED IN MEANS.OUT. STAT3934 ALSO GENERATES AND RECORDS DISPLACEMENTS FROM BASE.INP INTO STAT163. A SEQUENCE OF FREQUENCIES ( FREQ(L), L=1, ... , L0 ) IS RECORDED IN PERM.INP TO BE UTILIZED AS PERM.INP IN STAT3764. STAT3934 IS A VARIANT OF STAT3832, STAT3825 AND STAT3819. THE FILE RANK2(L).OUT IS GENERATED FOR STAT3841, UTILIZED AS PERM.INP. SALIENT PERMUTATIONS ARE GENERATED IN PERM.OUT AND PERM3.OUT. RECORDED IN STAT3934.OT3 IS THE NUMBER OF [1]"s PER ELEMENT VS. JMAX STAR EVENTS PAIRED WITH THE CORREESPONDING RELARIVE FREQUENCY PER ELEMENT OVER JMAX STAR EVENTS. RECORDED IN STAT3845.INP IS THE NUMBER OF RIGHT TRAILING ZEROS, NZ0, OF EACH ELEMENT VS. THE JMAX STAR EVENTS IN BASE.INP. A PERMUTATION OF Q0 [*]-QUALIFYING ELEMENTS IS RECORDED IN PERM4.OUT, WITH NZ0(L) .GE. NLOP. AND 1 / NLOP IS THE OCCRRENCE CADENCE FOR ELEMENT L, OVER JMAX STAR EVENTS. A SEQUENCE OF WEIGHTS, < WT2(L) > , IS RECORDED IN THE FILE WT2(L).OUT, WHERE WT2(L) = 1.0 / NZ0(L) FOR EACH L, L = 1, 2, 3, ... , L0. CF. STAT94.INP FOR 5 TACITLY SELECTED HIGH-PROBABILITY K0-ELEMENT EVENTS FROM PERM.OUT. THE TOP-RANKING ELEMENT VIA GEOMPr % IN EACH OVER ALL K0 COLUMNS OF STAR EVENTS IS RECORDED IN CUMULAT.OUT. ELEMENTS ARE RANKED FILTERED, AND RECORDED IN PERM2.OUT AND WT(L).OUT VIA THE METRIC GEOMPr(L) AND NZ0(L), RESPECTIVELY. ========================================================================= -- L 3935 -- MONITOR MATRIX GENERATOR XXIX FREQUENCY COUNTS FOR A SEQUENCE OF ELEMENTS < 1 , 2, ... , L0 > VS. A SEQUENCE OF STAR EVENTS ( PROBABILITY THAT ELEMENT L OCCURS IN THE NEXT STAR EVENT VIA VIA A RELATIVE FREQUENCY PROBABILITY DISTRIBUTION ) ( VARIANT AND ELEMENT RELATIVE FREQUENCY VERSION OF STAT3246 ) ( ELEMENTS ARE RANKED VIA ASCENDING ORDER OF FREQUENCY IN PERM.OUT) READS A SEQUENCE OF IMAX STAR EVENTS ON THE ELEMENTS ON THE ELEMENTS IN T = < 1, 2, ... , L0 > DETERMINES A (0,1) - OCCURRENCE MATRIX FOR EACH OF THE L0 ELEMENTS OF THE SET T, THE RELATIVE FREQUENCY OF EACH ELEMENT IN T, AND DETERMINES A PROJECTED SEQUENCE OF TRANSLATION VECTORS IN PERM.INP, WHICH ARE HIGHLY LIKELY TO OCCUR IN THE NEXT K0-ELEMENT STAR EVENT OF BASE.INP. STAT3935 IS A VARIANT OF STAT3476 AND STAT3532. THE ROUTINE RANKS STAR ELEMENTS, BUT FILTERS STAR ELEMENTS, BASED UPON WHETHER OR NOT THE NUMBER OF 0'S SUCCEEDING THE LAST 1 IN THE STAR EVENT INTERSECTION OCCURRENCE SEQUENCE EXCEEDS A DETERMINED THRESHOLD VALUE, M0, BASED UPON STAR EVENT INDEXES. STAT3935 READS UP TO 100 STAR EVENTS IN BASE.INP AND ANALYZES ELEMENTS IN THE RANGE < 1, ... , L0 >, WHERE THE MAXIMUM VALUE OF L0 IS 54. CF. ALSO STAT893, STAT894, STAT899, AND STAT933. VS. THE BASE SET OF STAR EVENTS, BUT FILTERING STAR ELEMENTS, BASED UPON WHETHER OR NOT THE INDEX OF STAR EVENT (IMAX+1-M0) IS CONGRUENT TO 0 (MOD KCT), WHERE M0 IS THE STAR INDEX OF THE FIRST OCCURRING ELEMENT 1 IN THE (0,1) - OCCURRENCE MATRIX AND KCT IS THE NUMBER OF ELAPSED EVENTS PER OCCURRENCE OF A 1 IN THE (0,1) - OCCURRENCE MATRIX FOR EACH OF THE L0 STAR ELEMENTS. M1 IS THE DESIRED THRESHOLD VALUE FOR INDEXES: M1 (MOD KCT). STAT3935 READS UP TO 100 STAR EVENTS IN BASE.INP AND ANALYZES ELEMENTS IN THE RANGE < 1, ... , L0 >, WHERE THE MAXIMUM VALUE OF L0 IS 54. CF. ALSO STAT893, STAT894, STAT899, AND STAT933. STAT3935 IS A VARIANT OF STAT934, BUT UTILIZES A DIFFERENT ALGORITHMIC TECHNIQUE FOR DETERMINING HIGH-PROBABILITY ELEMENTS. SIGNIFICANTLY, STAT3935 GENERATES PERM.OUT AND PERM2.OUT FOR PROCESSING AS PERM.INP IN STAT543, STAT3011, STAT3012, STAT3013, STAT3121. AND STAT3122. AN M0-ELEMENT PERMUTATION IS GENERATED INTO PERM7.OUT, CONSISTING OF THE HIGHEST RANKING ELEMENTS BY WEIGHT, D(L), OVER THE LAST Q0 K0-ELEMENT STAR EVENTS IN BASE.INP, WHERE D(L) = 1000 * PROBABILITY THAT ELEMENT L WILL OCCUR IN EVENT IMAX+1, IMMEDIATELY SUCCEEDING THE FINAL STAR EVENT. THE SUBSET OF M0 UNIQUE ELEMENTS IS DETERMINED FROM THE LAST Q0 STAR EVENTS SELECTED IN REAL-TIME BY THE ANALYST AND RANED VIA WEIGHTS, , WITH FORMAT: [ I2,' ).',2X,I4,2X,I4,44X,F12.6 ] FOR FURTHER ANALYSIS. AN (IMAX x K0)-DIMENSIONAL MATRIX OF OF INCREMENTS BETWEEN ADJACENT OR SUCCESSIVE PAIRS OF TENS DIGITS FOR ELEMENTS OVER THE LAST IMAX STAR EVENTS IS DETERMINED AND RECORDED IN STAT3935.OT3. MOREOVER, AN (IMAX x K0)-DIMENSIONAL MATRIX OF OF INCREMENTS BETWEEN ADJACENT OR SUCCESSIVE PAIRS OF UNITS DIGITS FOR ELEMENTS OVER THE LAST IMAX STAR EVENTS IS DETERMINED AND RECORDED IN STAT3935.OT4. A SEQUENCE OF FREQUENCIES OF ELEMENTS , L = 1 , 2 , ... , L0 IS GENERATED AS AN OUTPUT FILE, PERM.INP FOR USAGE, E.G., IN STAT3121 OR STAT3798 AS PERM.INP. A COMPUTED SEQUENCE OF IMAX K0-ELEMENT MEAN DEVIATIONS OF SUCCESSIVE PAIRS OF ELEMENTS (OVER THE K0 COLUMNS OF STAR EVENTS IN BASE.INP) IS RECORDED AS STAT3683.INP FOR FURTHER ANALYSIS IN STAT3683. A 6-ELEMENT VECTOR OF COLUMN MEANS IS GENERATED AND RECORDED IN MEANS.OUT. STAT3935 ALSO GENERATES AND RECORDS DISPLACEMENTS FROM BASE.INP INTO STAT163. A SEQUENCE OF FREQUENCIES ( FREQ(L), L=1, ... , L0 ) IS RECORDED IN PERM.INP TO BE UTILIZED AS PERM.INP IN STAT3764. STAT3935 IS A VARIANT OF STAT3832, STAT3825 AND STAT3819. THE FILE RANK2(L).OUT IS GENERATED FOR STAT3841, UTILIZED AS PERM.INP. SALIENT PERMUTATIONS ARE GENERATED IN PERM.OUT AND PERM3.OUT. RECORDED IN STAT3935.OT3 IS THE NUMBER OF [1]"s PER ELEMENT VS. JMAX STAR EVENTS PAIRED WITH THE CORREESPONDING RELARIVE FREQUENCY PER ELEMENT OVER JMAX STAR EVENTS. RECORDED IN STAT3845.INP IS THE NUMBER OF RIGHT TRAILING ZEROS, NZ0, OF EACH ELEMENT VS. THE JMAX STAR EVENTS IN BASE.INP. A PERMUTATION OF Q0 [*]-QUALIFYING ELEMENTS IS RECORDED IN PERM4.OUT, WITH NZ0(L) .GE. NLOP. AND 1 / NLOP IS THE OCCRRENCE CADENCE FOR ELEMENT L, OVER JMAX STAR EVENTS. A SEQUENCE OF WEIGHTS, < WT2(L) > , IS RECORDED IN THE FILE WT2(L).OUT, WHERE WT2(L) = 1.0 / NZ0(L) FOR EACH L, L = 1, 2, 3, ... , L0. CF. STAT94.INP FOR 5 TACITLY SELECTED HIGH-PROBABILITY K0-ELEMENT EVENTS FROM PERM.OUT. THE TOP-RANKING ELEMENT VIA GEOMPr % IN EACH ONE OF K0 COLUMNS OF STAR EVENTS IS RECORDED IN CUMULAT.OUT. ========================================================================= -- L 3936 -- MONITOR MATRIX GENERATOR XXIX FREQUENCY COUNTS FOR A SEQUENCE OF ELEMENTS < 1 , 2, ... , L0 > VS. A SEQUENCE OF STAR EVENTS ( PROBABILITY THAT ELEMENT L OCCURS IN THE NEXT STAR EVENT VIA VIA A RELATIVE FREQUENCY PROBABILITY DISTRIBUTION ) ( VARIANT AND ELEMENT RELATIVE FREQUENCY VERSION OF STAT3935 ) ( ELEMENTS ARE RANKED VIA DESCENDING ORDER OF FREQUENCY IN PERM.OUT) READS A SEQUENCE OF IMAX STAR EVENTS ON THE ELEMENTS ON THE ELEMENTS IN T = < 1, 2, ... , L0 > DETERMINES A (0,1) - OCCURRENCE MATRIX FOR EACH OF THE L0 ELEMENTS OF THE SET T, THE RELATIVE FREQUENCY OF EACH ELEMENT IN T, AND DETERMINES A PROJECTED SEQUENCE OF TRANSLATION VECTORS IN PERM.INP, WHICH ARE HIGHLY LIKELY TO OCCUR IN THE NEXT K0-ELEMENT STAR EVENT OF BASE.INP. STAT3936 IS A VARIANT OF STAT3476 AND STAT3532. THE ROUTINE RANKS STAR ELEMENTS, BUT FILTERS STAR ELEMENTS, BASED UPON WHETHER OR NOT THE NUMBER OF 0'S SUCCEEDING THE LAST 1 IN THE STAR EVENT INTERSECTION OCCURRENCE SEQUENCE EXCEEDS A DETERMINED THRESHOLD VALUE, M0, BASED UPON STAR EVENT INDEXES. STAT3936 READS UP TO 100 STAR EVENTS IN BASE.INP AND ANALYZES ELEMENTS IN THE RANGE < 1, ... , L0 >, WHERE THE MAXIMUM VALUE OF L0 IS 54. CF. ALSO STAT893, STAT894, STAT899, AND STAT933. VS. THE BASE SET OF STAR EVENTS, BUT FILTERING STAR ELEMENTS, BASED UPON WHETHER OR NOT THE INDEX OF STAR EVENT (IMAX+1-M0) IS CONGRUENT TO 0 (MOD KCT), WHERE M0 IS THE STAR INDEX OF THE FIRST OCCURRING ELEMENT 1 IN THE (0,1) - OCCURRENCE MATRIX AND KCT IS THE NUMBER OF ELAPSED EVENTS PER OCCURRENCE OF A 1 IN THE (0,1) - OCCURRENCE MATRIX FOR EACH OF THE L0 STAR ELEMENTS. M1 IS THE DESIRED THRESHOLD VALUE FOR INDEXES: M1 (MOD KCT). STAT3936 READS UP TO 100 STAR EVENTS IN BASE.INP AND ANALYZES ELEMENTS IN THE RANGE < 1, ... , L0 >, WHERE THE MAXIMUM VALUE OF L0 IS 54. CF. ALSO STAT893, STAT894, STAT899, AND STAT933. STAT3936 IS A VARIANT OF STAT934, BUT UTILIZES A DIFFERENT ALGORITHMIC TECHNIQUE FOR DETERMINING HIGH-PROBABILITY ELEMENTS. SIGNIFICANTLY, STAT3936 GENERATES PERM.OUT AND PERM2.OUT FOR PROCESSING AS PERM.INP IN STAT543, STAT3011, STAT3012, STAT3013, STAT3121. AND STAT3122. AN M0-ELEMENT PERMUTATION IS GENERATED INTO PERM7.OUT, CONSISTING OF THE HIGHEST RANKING ELEMENTS BY WEIGHT, D(L), OVER THE LAST SELECTED K0-ELEMENT STAR EVENTS IN BASE.INP, WHERE D(L) = 1000 * PROBABILITY THAT ELEMENT L WILL OCCUR IN EVENT IMAX+1, IMMEDIATELY SUCCEEDING THE FINAL STAR EVENT. THE SUBSET OF M0 UNIQUE ELEMENTS IS DETERMINED FROM THE LAST STAR EVENTS SELECTED IN REAL-TIME BY THE ANALYST AND RANED VIA WEIGHTS, , WITH FORMAT: [ I2,' ).',2X,I4,2X,I4,44X,F12.6 ] FOR FURTHER ANALYSIS. AN (IMAX x K0)-DIMENSIONAL MATRIX OF OF INCREMENTS BETWEEN ADJACENT OR SUCCESSIVE PAIRS OF TENS DIGITS FOR ELEMENTS OVER THE LAST IMAX STAR EVENTS IS DETERMINED AND RECORDED IN STAT3936.OT3. MOREOVER, AN (IMAX x K0)-DIMENSIONAL MATRIX OF OF INCREMENTS BETWEEN ADJACENT OR SUCCESSIVE PAIRS OF UNITS DIGITS FOR ELEMENTS OVER THE LAST IMAX STAR EVENTS IS DETERMINED AND RECORDED IN STAT3936.OT4. A SEQUENCE OF FREQUENCIES OF ELEMENTS , L = 1 , 2 , ... , L0 IS GENERATED AS AN OUTPUT FILE, PERM.INP FOR USAGE, E.G., IN STAT3121 OR STAT3798 AS PERM.INP. A COMPUTED SEQUENCE OF IMAX K0-ELEMENT MEAN DEVIATIONS OF SUCCESSIVE PAIRS OF ELEMENTS (OVER THE K0 COLUMNS OF STAR EVENTS IN BASE.INP) IS RECORDED AS STAT3683.INP FOR FURTHER ANALYSIS IN STAT3683. A 6-ELEMENT VECTOR OF COLUMN MEANS IS GENERATED AND RECORDED IN MEANS.OUT. STAT3936 ALSO GENERATES AND RECORDS DISPLACEMENTS FROM BASE.INP INTO STAT163. A SEQUENCE OF FREQUENCIES ( FREQ(L), L=1, ... , L0 ) IS RECORDED IN PERM.INP TO BE UTILIZED AS PERM.INP IN STAT3764. STAT3936 IS A VARIANT OF STAT3832, STAT3825 AND STAT3819. THE FILE RANK2(L).OUT IS GENERATED FOR STAT3841, UTILIZED AS PERM.INP. SALIENT PERMUTATIONS ARE GENERATED IN PERM.OUT AND PERM3.OUT. RECORDED IN STAT3936.OT3 IS THE NUMBER OF [1]"s PER ELEMENT VS. JMAX STAR EVENTS PAIRED WITH THE CORREESPONDING RELARIVE FREQUENCY PER ELEMENT OVER JMAX STAR EVENTS. RECORDED IN STAT3845.INP IS THE NUMBER OF RIGHT TRAILING ZEROS, NZ0, OF EACH ELEMENT VS. THE JMAX STAR EVENTS IN BASE.INP. A PERMUTATION OF [*]-QUALIFYING ELEMENTS IS RECORDED IN PERM4.OUT, WITH NZ0(L) .GE. NLOP. AND 1 / NLOP(L) IS THE OCCRRENCE CADENCE FOR ELEMENT L, OVER JMAX STAR EVENTS. A SEQUENCE OF WEIGHTS, < WT2(L) > , IS RECORDED IN THE FILE WT2(L).OUT, WHERE WT2(L) = 1.0 / NZ0(L) FOR EACH L, L = 1, 2, 3, ... , L0. CF. STAT94.INP FOR 5 TACITLY SELECTED HIGH-PROBABILITY K0-ELEMENT EVENTS FROM PERM.OUT. THE TOP-RANKING ELEMENT VIA REL. FREQ IN EACH ONE OF K0 COLUMNS OF STAR EVENTS IS RECORDED IN STAT3841.INP. ========================================================================= -- L 3937 -- ( FILTERING ELEMENTS FROM WT(L).INP WITH | IDELTA(L) | .LE. Q0 ) ( WEIGHTS OF ALL ELEMENTS L PER K0-ELEMENT TEST EVENT ARE SELECTED WITH | IDELTA(L) | .LE. Q0 FOR SOME DESIRED THRESHOLD, Q0 ) STAT3937 READS AN L0-ELEMENT SEQUENCE OF PROBABILITIES/WEIGHTS OF ELEMENTS IN WT(L).INP ON < 1, 2, ... , L0 >, GENERATED VIA STAT3936, DETERMINING AND FILTERING ALL ELEMENTS L SATISFYING THE CONDITION: | WT(L) | = | IDELTA(L) | .LE. Q0 FOR SOME DESIRED INTEGER Q0 AND RECORDS THEM IN PERM.OUT FOR FURTHER ANALYSIS IN STAT3640 OR ANOTHER ROUTINE. ========================================================================= -- L 3938 -- MONITOR MATRIX GENERATOR XXXXX FREQUENCY COUNTS FOR A SEQUENCE OF ELEMENTS < 1 , 2, ... , L0 > VS. A SEQUENCE OF STAR EVENTS ( PROBABILITY THAT ELEMENT L OCCURS IN THE NEXT STAR EVENT VIA A RELATIVE FREQUENCY DISTRIBUTION FUNCTION OVER EACH ONE OF K0 SEPARATE COLUMNS ) ( VARIANT OF STAT3250 WITH WT(L) = FREQ(L) REPLACING GEOMPr(L) ) STAT3938 READS A (6 x K0)-DIMENSIONAL BLOCK OF COLUMN INDICES FROM STAT3938.IN2 TO BE UTILIZED IN SELECTING ELEMENTS FROM PERM.OUT ON ELEMENTS < 1,2,...,L0>, AFTER GENERATION BY STAT3938. AND READS A SEQUENCE OF IMAX STAR EVENTS ON THE ELEMENTS ON THE ELEMENTS IN T = < 1, 2, ... , L0 > DETERMINES A (0,1) - OCCURRENCE MATRIX FOR EACH OF THE L0 ELEMENTS OF THE SET T, THE RELATIVE FREQUENCY OF EACH ELEMENT IN T, AND DETERMINES A PROJECTED SEQUENCE OF TRANSLATION VECTORS IN PERM.INP, WHICH ARE HIGHLY LIKELY TO OCCUR IN THE NEXT K0-ELEMENT STAR EVENT OF BASE.INP. STAT3938 IS A VARIANT OF STAT3246, ANALYZING L0 ELEMENTS IN STAR EVENTS OVER EACH ONE OF K0 SEPARATE COLUMNS VS. THE BASE SET OF STAR EVENTS, BUT FILTERING STAR ELEMENTS, BASED UPON A REL. FREQUENCY PROBABILITY DISTRIBUTION DETERMINING THE Pr(EACH ELEMENT L WILL OCCUR FOLLOWING THE FINAL STAR EVENT). A DETERMINED THRESHOLD VALUE, M0, BASED UPON STAR EVENT INDEXES. STAT3938 READS UP TO 100 STAR EVENTS IN BASE.INP AND ANALYZES ELEMENTS IN THE RANGE < 1, ... , L0 >, WHERE THE MAXIMUM VALUE OF L0 IS 54. CF. ALSO STAT893, STAT894, STAT899, AND STAT933. VS. THE BASE SET OF STAR EVENTS, BUT FILTERING STAR ELEMENTS, BASED UPON WHETHER OR NOT THE INDEX OF STAR EVENT (IMAX+1-M0) IS CONGRUENT TO 0 (MOD KCT), WHERE M0 IS THE STAR INDEX OF THE FIRST OCCURRING ELEMENT 1 IN THE (0,1) - OCCURRENCE MATRIX AND KCT IS THE NUMBER OF ELAPSED EVENTS PER OCCURRENCE OF A 1 IN THE (0,1) - OCCURRENCE MATRIX FOR EACH OF THE L0 STAR ELEMENTS. M1 IS THE DESIRED THRESHOLD VALUE FOR INDEXES: M1 (MOD KCT). STAT3938 READS UP TO 100 STAR EVENTS IN BASE.INP AND ANALYZES ELEMENTS IN THE RANGE < 1, ... , L0 >, WHERE THE MAXIMUM VALUE OF L0 IS 54. CF. ALSO STAT893, STAT894, STAT899, AND STAT933. STAT3938 IS A VARIANT OF STAT934, BUT UTILIZES A DIFFERENT ALGORITHMIC TECHNIQUE FOR DETERMINING HIGH-PROBABILITY ELEMENTS. SIGNIFICANTLY, STAT3938 GENERATES PERM.OUT AND PERM2.OUT FOR PROCESSING AS PERM.INP IN STAT543, STAT3011, STAT3012, STAT3013, STAT3121. AND STAT3122. A Q0-ELEMENT VECTOR OF TRANSLATION ELEMENTS IS READ FROM PERM.INP AND COMPARED TO D(L) FOR EACH L, WHERE D(L) = FREQUENCY(ELEMENT L) OVER IMAX STAR EVENTS IN COLUMN J , FOR J = 1, ... , K0 OVER IMAX STAR EVENTS. ( VS. A SEQUENCE OF STAR EVENTS ( VARIANT OF STAT3941 AND STAT3934 ) V ( RANKS AND FILTERS K0-TUPLES OF ELEMENTS L VIA GEOMPr(L) ) ( A GEOMETRIC PROBABILITY VERSION OF STAT3941 AND STAT3934, WITH THE TOP K0 ELEMENTS EXTRACTED FROM EACH STAR EVENT, RATHER THAN THE TOP SINGLETON OR TRIAD, BACKING-UP A DESIRED NUMBER OF STAR EVENT INDICES FROM THE FINAL STAR EVENT ) ( PROBABILITY THAT ELEMENT L OCCURS IN THE NEXT STAR EVENT VIA A GEOMETRIC PROBABILITY DISTRIBUTION ) READS A SEQUENCE OF IMAX STAR EVENTS ON THE ELEMENTS ON THE ELEMENTS IN T = < 1, 2, ... , L0 > DETERMINES A (0,1) - OCCURRENCE MATRIX FOR EACH OF THE L0 ELEMENTS OF THE SET T, THE RELATIVE FREQUENCY OF EACH ELEMENT IN T, AND DETERMINES A PROJECTED SEQUENCE OF TRANSLATION VECTORS IN PERM.INP, WHICH ARE HIGHLY LIKELY TO OCCUR IN THE NEXT K0-ELEMENT STAR EVENT OF BASE.INP. STAT3940 IS A VARIANT OF STAT3476 AND STAT3532. THE ROUTINE RANKS STAR ELEMENTS, BUT FILTERS STAR ELEMENTS, BASED UPON WHETHER OR NOT THE NUMBER OF 0'S SUCCEEDING THE LAST 1 IN THE STAR EVENT INTERSECTION OCCURRENCE SEQUENCE EXCEEDS A DETERMINED THRESHOLD VALUE, M0, BASED UPON STAR EVENT INDEXES. STAT3940 READS UP TO 100 STAR EVENTS IN BASE.INP AND ANALYZES ELEMENTS IN THE RANGE < 1, ... , L0 >, WHERE THE MAXIMUM VALUE OF L0 IS 54. CF. ALSO STAT893, STAT894, STAT899, AND STAT933. VS. THE BASE SET OF STAR EVENTS, BUT FILTERING STAR ELEMENTS, BASED UPON WHETHER OR NOT THE INDEX OF STAR EVENT (IMAX+1-M0) IS CONGRUENT TO 0 (MOD KCT), WHERE M0 IS THE STAR INDEX OF THE FIRST OCCURRING ELEMENT 1 IN THE (0,1) - OCCURRENCE MATRIX AND KCT IS THE NUMBER OF ELAPSED EVENTS PER OCCURRENCE OF A 1 IN THE (0,1) - OCCURRENCE MATRIX FOR EACH OF THE L0 STAR ELEMENTS. M1 IS THE DESIRED THRESHOLD VALUE FOR INDEXES: M1 (MOD KCT). STAT3940 READS UP TO 100 STAR EVENTS IN BASE.INP AND ANALYZES ELEMENTS IN THE RANGE < 1, ... , L0 >, WHERE THE MAXIMUM VALUE OF L0 IS 54. CF. ALSO STAT893, STAT894, STAT899, AND STAT933. STAT3940 IS A VARIANT OF STAT934, BUT UTILIZES A DIFFERENT ALGORITHMIC TECHNIQUE FOR DETERMINING HIGH-PROBABILITY ELEMENTS. SIGNIFICANTLY, STAT3940 GENERATES PERM.OUT AND PERM2.OUT FOR PROCESSING AS PERM.INP IN STAT543, STAT3011, STAT3012, STAT3013, STAT3121. AND STAT3122. AN M0-ELEMENT PERMUTATION IS GENERATED INTO PERM7.OUT, CONSISTING OF THE HIGHEST RANKING ELEMENTS BY WEIGHT, D(L), OVER THE LAST Q0 K0-ELEMENT STAR EVENTS IN BASE.INP, WHERE D(L) = 1000 * PROBABILITY THAT ELEMENT L WILL OCCUR IN EVENT IMAX+1, IMMEDIATELY SUCCEEDING THE FINAL STAR EVENT. THE SUBSET OF M0 UNIQUE ELEMENTS IS DETERMINED FROM THE LAST Q0 STAR EVENTS SELECTED IN REAL-TIME BY THE ANALYST AND RANED VIA WEIGHTS, , WITH FORMAT: [ I2,' ).',2X,I4,2X,I4,44X,F12.6 ] FOR FURTHER ANALYSIS. AN (IMAX x K0)-DIMENSIONAL MATRIX OF OF INCREMENTS BETWEEN ADJACENT OR SUCCESSIVE PAIRS OF TENS DIGITS FOR ELEMENTS OVER THE LAST IMAX STAR EVENTS IS DETERMINED AND RECORDED IN STAT3940.OT3. MOREOVER, AN (IMAX x K0)-DIMENSIONAL MATRIX OF OF INCREMENTS BETWEEN ADJACENT OR SUCCESSIVE PAIRS OF UNITS DIGITS FOR ELEMENTS OVER THE LAST IMAX STAR EVENTS IS DETERMINED AND RECORDED IN STAT3940.OT4. A SEQUENCE OF FREQUENCIES OF ELEMENTS , L = 1 , 2 , ... , L0 IS GENERATED AS AN OUTPUT FILE, PERM.INP FOR USAGE, E.G., IN STAT3121 OR STAT3798 AS PERM.INP. A COMPUTED SEQUENCE OF IMAX K0-ELEMENT MEAN DEVIATIONS OF SUCCESSIVE PAIRS OF ELEMENTS (OVER THE K0 COLUMNS OF STAR EVENTS IN BASE.INP) IS RECORDED AS STAT3683.INP FOR FURTHER ANALYSIS IN STAT3683. A 6-ELEMENT VECTOR OF COLUMN MEANS IS GENERATED AND RECORDED IN MEANS.OUT. STAT3940 ALSO GENERATES AND RECORDS DISPLACEMENTS FROM BASE.INP INTO STAT163. A SEQUENCE OF FREQUENCIES ( FREQ(L), L=1, ... , L0 ) IS RECORDED IN PERM.INP TO BE UTILIZED AS PERM.INP IN STAT3764. STAT3940 IS A VARIANT OF STAT3832, STAT3825 AND STAT3819. THE FILE RANK2(L).OUT IS GENERATED FOR STAT3841, UTILIZED AS PERM.INP. SALIENT PERMUTATIONS ARE GENERATED IN PERM.OUT AND PERM3.OUT. RECORDED IN STAT3940.OT3 IS THE NUMBER OF [1]"s PER ELEMENT VS. JMAX STAR EVENTS PAIRED WITH THE CORREESPONDING RELARIVE FREQUENCY PER ELEMENT OVER JMAX STAR EVENTS. RECORDED IN STAT3845.INP IS THE NUMBER OF RIGHT TRAILING ZEROS, NZ0, OF EACH ELEMENT VS. THE JMAX STAR EVENTS IN BASE.INP. A PERMUTATION OF Q0 [*]-QUALIFYING ELEMENTS IS RECORDED IN PERM4.OUT, WITH NZ0(L) .GE. NLOP. AND 1 / NLOP IS THE OCCRRENCE CADENCE FOR ELEMENT L, OVER JMAX STAR EVENTS. A SEQUENCE OF WEIGHTS, < WT2(L) > , IS RECORDED IN THE FILE WT2(L).OUT, WHERE WT2(L) = 1.0 / NZ0(L) FOR EACH L, L = 1, 2, 3, ... , L0. CF. STAT94.INP FOR 5 TACITLY SELECTED HIGH-PROBABILITY K0-ELEMENT EVENTS FROM PERM.OUT. THE TOP-RANKING ELEMENT VIA GEOMPr % IN EACH OVER ALL K0 COLUMNS OF STAR EVENTS IS RECORDED IN CUMULAT.OUT. ELEMENTS ARE RANKED FILTERED, AND RECORDED IN PERM2.OUT AND WT(L).OUT VIA THE METRIC GEOMPr(L) AND NZ0(L), RESPECTIVELY. STAT3940 IS A VARIANT OF STAT3934, A GEOMETRIC PROBABILITY VERSION WITH THE TOP 2 ELEMENTS 2 ELEMENTS EXTRACTED FROM EACH STAR EVENT, RATHERR THAN THE TOP SINGLE ELEMENT, BACKING-UP A DESIRED NUMBER OF STAR EVENT INDICES FROM THE FINAL STAR EVENT. ========================================================================= -- L 3941 -- MONITOR MATRIX GENERATOR XXXX FREQUENCY COUNTS FOR A SEQUENCE OF ELEMENTS < 1 , 2, ... , L0 > VS. A SEQUENCE OF STAR EVENTS V ( RANKS AND FILTERS ELEMENTS L VIA GEOMPr(L) ) ( VARIANT OF STAT3934, A GEOMETRIC PROBABILITY VERSION WITH THE TOP 2 ELEMENTS EXTRACTED FROM EACH STAR EVENT RATHER THAN THE TOP SINGLE ELEMENT, BACKING-UP A DESIRED NUMBER OF STAR EVENT INDICES FROM THE FINAL STAR EVENT ) ( PROBABILITY THAT ELEMENT L OCCURS IN THE NEXT STAR EVENT VIA A RELATIVE FREQUENCY PROBABILITY DISTRIBUTION ) READS A SEQUENCE OF IMAX STAR EVENTS ON THE ELEMENTS ON THE ELEMENTS IN T = < 1, 2, ... , L0 > DETERMINES A (0,1) - OCCURRENCE MATRIX FOR EACH OF THE L0 ELEMENTS OF THE SET T, THE RELATIVE FREQUENCY OF EACH ELEMENT IN T, AND DETERMINES A PROJECTED SEQUENCE OF TRANSLATION VECTORS IN PERM.INP, WHICH ARE HIGHLY LIKELY TO OCCUR IN THE NEXT K0-ELEMENT STAR EVENT OF BASE.INP. STAT3941 IS A VARIANT OF STAT3476 AND STAT3532. THE ROUTINE RANKS STAR ELEMENTS, BUT FILTERS STAR ELEMENTS, BASED UPON WHETHER OR NOT THE NUMBER OF 0'S SUCCEEDING THE LAST 1 IN THE STAR EVENT INTERSECTION OCCURRENCE SEQUENCE EXCEEDS A DETERMINED THRESHOLD VALUE, M0, BASED UPON STAR EVENT INDEXES. STAT3941 READS UP TO 100 STAR EVENTS IN BASE.INP AND ANALYZES ELEMENTS IN THE RANGE < 1, ... , L0 >, WHERE THE MAXIMUM VALUE OF L0 IS 54. CF. ALSO STAT893, STAT894, STAT899, AND STAT933. VS. THE BASE SET OF STAR EVENTS, BUT FILTERING STAR ELEMENTS, BASED UPON WHETHER OR NOT THE INDEX OF STAR EVENT (IMAX+1-M0) IS CONGRUENT TO 0 (MOD KCT), WHERE M0 IS THE STAR INDEX OF THE FIRST OCCURRING ELEMENT 1 IN THE (0,1) - OCCURRENCE MATRIX AND KCT IS THE NUMBER OF ELAPSED EVENTS PER OCCURRENCE OF A 1 IN THE (0,1) - OCCURRENCE MATRIX FOR EACH OF THE L0 STAR ELEMENTS. M1 IS THE DESIRED THRESHOLD VALUE FOR INDEXES: M1 (MOD KCT). STAT3941 READS UP TO 100 STAR EVENTS IN BASE.INP AND ANALYZES ELEMENTS IN THE RANGE < 1, ... , L0 >, WHERE THE MAXIMUM VALUE OF L0 IS 54. CF. ALSO STAT893, STAT894, STAT899, AND STAT933. STAT3941 IS A VARIANT OF STAT934, BUT UTILIZES A DIFFERENT ALGORITHMIC TECHNIQUE FOR DETERMINING HIGH-PROBABILITY ELEMENTS. SIGNIFICANTLY, STAT3941 GENERATES PERM.OUT AND PERM2.OUT FOR PROCESSING AS PERM.INP IN STAT543, STAT3011, STAT3012, STAT3013, STAT3121. AND STAT3122. AN M0-ELEMENT PERMUTATION IS GENERATED INTO PERM7.OUT, CONSISTING OF THE HIGHEST RANKING ELEMENTS BY WEIGHT, D(L), OVER THE LAST Q0 K0-ELEMENT STAR EVENTS IN BASE.INP, WHERE D(L) = 1000 * PROBABILITY THAT ELEMENT L WILL OCCUR IN EVENT IMAX+1, IMMEDIATELY SUCCEEDING THE FINAL STAR EVENT. THE SUBSET OF M0 UNIQUE ELEMENTS IS DETERMINED FROM THE LAST Q0 STAR EVENTS SELECTED IN REAL-TIME BY THE ANALYST AND RANED VIA WEIGHTS, , WITH FORMAT: [ I2,' ).',2X,I4,2X,I4,44X,F12.6 ] FOR FURTHER ANALYSIS. AN (IMAX x K0)-DIMENSIONAL MATRIX OF OF INCREMENTS BETWEEN ADJACENT OR SUCCESSIVE PAIRS OF TENS DIGITS FOR ELEMENTS OVER THE LAST IMAX STAR EVENTS IS DETERMINED AND RECORDED IN STAT3941.OT3. MOREOVER, AN (IMAX x K0)-DIMENSIONAL MATRIX OF OF INCREMENTS BETWEEN ADJACENT OR SUCCESSIVE PAIRS OF UNITS DIGITS FOR ELEMENTS OVER THE LAST IMAX STAR EVENTS IS DETERMINED AND RECORDED IN STAT3941.OT4. A SEQUENCE OF FREQUENCIES OF ELEMENTS , L = 1 , 2 , ... , L0 IS GENERATED AS AN OUTPUT FILE, PERM.INP FOR USAGE, E.G., IN STAT3121 OR STAT3798 AS PERM.INP. A COMPUTED SEQUENCE OF IMAX K0-ELEMENT MEAN DEVIATIONS OF SUCCESSIVE PAIRS OF ELEMENTS (OVER THE K0 COLUMNS OF STAR EVENTS IN BASE.INP) IS RECORDED AS STAT3683.INP FOR FURTHER ANALYSIS IN STAT3683. A 6-ELEMENT VECTOR OF COLUMN MEANS IS GENERATED AND RECORDED IN MEANS.OUT. STAT3941 ALSO GENERATES AND RECORDS DISPLACEMENTS FROM BASE.INP INTO STAT163. A SEQUENCE OF FREQUENCIES ( FREQ(L), L=1, ... , L0 ) IS RECORDED IN PERM.INP TO BE UTILIZED AS PERM.INP IN STAT3764. STAT3941 IS A VARIANT OF STAT3832, STAT3825 AND STAT3819. THE FILE RANK2(L).OUT IS GENERATED FOR STAT3841, UTILIZED AS PERM.INP. SALIENT PERMUTATIONS ARE GENERATED IN PERM.OUT AND PERM3.OUT. RECORDED IN STAT3941.OT3 IS THE NUMBER OF [1]"s PER ELEMENT VS. JMAX STAR EVENTS PAIRED WITH THE CORREESPONDING RELARIVE FREQUENCY PER ELEMENT OVER JMAX STAR EVENTS. RECORDED IN STAT3845.INP IS THE NUMBER OF RIGHT TRAILING ZEROS, NZ0, OF EACH ELEMENT VS. THE JMAX STAR EVENTS IN BASE.INP. A PERMUTATION OF Q0 [*]-QUALIFYING ELEMENTS IS RECORDED IN PERM4.OUT, WITH NZ0(L) .GE. NLOP. AND 1 / NLOP IS THE OCCRRENCE CADENCE FOR ELEMENT L, OVER JMAX STAR EVENTS. A SEQUENCE OF WEIGHTS, < WT2(L) > , IS RECORDED IN THE FILE WT2(L).OUT, WHERE WT2(L) = 1.0 / NZ0(L) FOR EACH L, L = 1, 2, 3, ... , L0. CF. STAT94.INP FOR 5 TACITLY SELECTED HIGH-PROBABILITY K0-ELEMENT EVENTS FROM PERM.OUT. THE TOP-RANKING ELEMENT VIA GEOMPr % IN EACH OVER ALL K0 COLUMNS OF STAR EVENTS IS RECORDED IN CUMULAT.OUT. ELEMENTS ARE RANKED FILTERED, AND RECORDED IN PERM2.OUT AND WT(L).OUT VIA THE METRIC GEOMPr(L) AND NZ0(L), RESPECTIVELY. STAT3941 IS A VARIANT OF STAT3934, A GEOMETRIC PROBABILITY VERSION WITH THE TOP 2 ELEMENTS 2 ELEMENTS EXTRACTED FROM EACH STAR EVENT, RATHERR THAN THE TOP SINGLE ELEMENT, BACKING-UP A DESIRED NUMBER OF STAR EVENT INDICES FROM THE FINAL STAR EVENT. ========================================================================= -- L 3942 -- ( TRANSPOSE OF A ( K0 x K0 ) - DIMENSIONAL BLOCK MATRIX ) ( TRANSFORMING A ( K0 x K0 ) - DIMENSIONAL BLOCK MATRIX INTO ITS CORRESPONDING TRANSPOSE MATRIX ) STAT3942 READS A ( K0 x K0 ) DIMENSIONAL BLOCK MATRIX FROM STAT3942.INP AND TRANSFORMS IT INTO ITS CORRESPONDING TRANSPOSE MATRIX RECORDED IN STAT94.INP FOR FUTURE ANALYSIS, WITH K0 .LE. 50. THE INPUT FILE STAT3942.INP MAY BE TACITLY GENERATED BY STAT3940 AS STAT149.INP. STAT94.INP MAY BE FURTHER PROCESSED VIA STAT2803 AS STAT2803.INP. ========================================================================= -- L 3943 -- ( THE DELTA TRANSFORMATION SYSTEM ) ( SHRINKING OR EXPANDING AN ELEMENT FIELD ) ( TRANSFORMING EITHER A SEQUENCE OF K0-ELEMENT HIGH TEST EVENTS INTO K0 CORRESPONDING LOW TEST EVENTS OR TRANSFORMING A SEQUENCE OF K0-ELEMENT LOW TEST EVENTS INTO K0 CORRESPONDING HIGH TEST EVENTS EVENTS TO BE UTILIZED AS STAR EVENTS IN STAT3246 AS BASE.INP ) STAT3942 READS AN ( IMAX x K0 ) DIMENSIONAL BLOCK OF TEST EVENTS FROM STAT3942.INP AND TRANSFORMS EITHER A SEQUENCE OF K0-ELEMENT HIGH TEST EVENTS INTO K0 CORRESPONDING LOW TEST EVENTS OR TRANSFORMS A SEQUENCE OF K0-ELEMENT K0-ELEMENT LOW TEST EVENTS INTO K0 CORRESPONDING HIGH TEST EVENTS IN STAT3942.OUT TO BE UTILIZED AS STAR EVENTS IN STAT3246 AS BASE.INP. THIS PROVIDES A METHOD OF SHRINKING A FIELD OF L0 ELEMENTS TO A SMALLER FIELD OF Q0 ELEMENTS OR EXPANDING A FIELD OF Q0 ELEMENTS TO A LARGER FIELD OF L0 ELEMENTS. AN EXEMPLARY PAIR OF EVENTS FOLLOWS BELOW: ( E.G. , 4 10 11 21 29 43 -----> 4 6 1 10 8 14 OR 4 6 1 10 8 14 -----> 4 10 11 21 29 43 ) ========================================================================= -- L 3944 -- ( PREDICTING FUTURE INTERSECTIONS FOR AN ARBITRARILY LARGE BLOCK OF K0-ELEMENT TEST EVENTS ) ( K0-ELEMENT TEST EVENT VERSION OF STAT3910 EXAMINING EVENTS VIA A GEOMETRIC PROBABILITY PDF FOR K0 = 6 ) ( GEOMETRIC PROBABILITY PDF VARIANT OF STAT3910 AND STAT1618 ) STAT3944 READS AN ARBITRARILY LARGE SEQUENCE OF K0-ELEMENT TEST EVENTS FROM STAT3944.INP, AND A SEQUENCE OF IMAX K0-ELEMENT STAR EVENTS FROM BASE.INP. EACH K0-ELEMENT TEST EVENT IS INTERSECTED WITH EACH EVENT IN A SEQUENCE OF STAR EVENTS WHICH ARE READ FROM FILE BASE.INP. THE PROGRAM IS AUTOMATICALLY TERMINATED WHEN A SEQUENCE OF EVENTS IS GENERATED WHICH QUALIFIES AS A HIGH-PROBABILITY SEQUENCE. THE ROUTINE FLAGS THE ELEMENTS OF A DESIRED RANGE OF STAR EVENTS AS THEY OCCUR AMONG THE ELEMENTS OF EACH TEST EVENT. MOREOVER, OUTPUT TEST EVENTS ARE PRINTED IN THE FILE STAT94.INP FOR FUTURE USE BY OTHER ROUTINES. MOREOVER, THE NUMBER AND PERCENTAGE OF 0's , 1's, 2's, 3's, 4's, ... , K0's ARE COMPUTED AS DETERMINED CARDINALITIES OF INTERSECTION NUMBERS BETWEEN TEST EVENTS AND EACH EVENT IN THE RANGE OF SELECTED STAR EVENTS. A CONFIGURATION MATRIX IS GENERATED WHICH INDICATES THE ELEMENTS IN COMMON BETWEEN TEST EVENT AND THE DESIRED RANGE OF SUCCESSIVE STAR EVENTS. THE ROUTINE ALSO PREDICTS THE NEXT SUCCESSFUL INTERSECTION INDEX BETWEEN A STAR EVENT AND THE GENERATED TEST EVENT. THE ROUTINE STAT3944 FILTERS TEST EVENTS FROM PERM.INP INTO STAT3944.OUT AND STAT94.INP. INPUT EVENTS FROM PERM.INP ARE ACCEPTED AS [*]-QUALIFIED iff Property 1 : TMAX IN THE INTERVAL [ T1,T2 ] AND | TMAX | .GE. KCT, WHERE 1/KCT IS THE OCCURRENCE CADENCE OVER ALL STAR EVENTS. STAT3944 IS A VARIANT OF STAT13576 STREAMLINING OUTPUT UNTIL AN EXHAUSTIVE SEARCH OVER PERM.INP IS COMPLETED FOR QUALIFYING K0-ELEMENT EVENTS OF A DESIRED OR SELECTED BLOCK-SIZE. STAR INDICES ARE USED IN SELECTING QUALIFYING TEST EVENTS. CF. STAT1506 (AN EMBELLISHMENT OF STAT1323) FOR A VERSION OF STAT3944 WHICH GENERATES BLOCKS OF INPUT EVENTS RANDOMLY. STAT3944 USES A SEQUENCE OF CONSECUTIVE INDICES VS. DELTA TO GENERATE THE SPECTRUM OF EVENTS WHOSE VALUES OF DELTA MATCH THE GIVEN SEQUENCE OF INDICES WITHIN A DESIRED INTERVAL, WHERE DELTA = IMAX - ( H(II)+MOD(H(II),KCT) ). CF STAT1504. CF. STAT1619, WHICH IS THE PERMUTATION VERSION OF STAT3944. CF. ALSO STAT2383. CF. ALSO STAT1654. [*]-QUALIFYING BLOCKS ARE RANKED IN DESCENDING ORDER OF PROBABILITY FOR EACH VALUE OF TMAX, WHERE NTMAX = TMAX - KCT. CF. ALSO STAT1631. EVENTS ARE RANKED IN DESCENDING ORDER OF PROBABILITY OF OCCURRENCE ON THE NEXT TRIAL VIA A GEOMETRIC PROBABILITY PDF. CF. STAT1618 AND STAT3576. CF. STAT3905 AND STAT1618. CF. ALSO STAT3909 FOR THE CASE: K0 = 5. A CUMULATIVE FILE OF GENERATED [*]-QUALIFYING TEST EVENTS IS RECORDED IN CUMULAT.OUT. CF. ALSO STAT3910. ========================================================================= -- L 3945 -- ( PREDICTING FUTURE INTERSECTIONS FOR A CYCLIC BLOCK OF ALL POSSIBLE K0-ELEMENT EVENTS GENERATED FROM A FIXED F0-ELEMENT PERMUTATION ) XXXXXXI ( PERMUTATION VARIANT OF STAT3905 FOR K0-ELEMENT QUALIFYING EVENTS VIA A GEOMETRIC PROBABILITY PDF ) ( VARIANT OF STAT3910 -- [ CASE: K0 .EQ. 6 ] ) ( GEOMETRIC PROBABILITY PDF HYBRID OF STAT3910 AND STAT1618 ) STAT3945 READS A FIXED Q0-ELEMENT PERMUTATION ON < 1 , ... , L0 > FROM PERM.INP, A SEQUENCE OF FMAX K0-ELEMENT TRANSLATION VECTORS FROM ST0T3945.IN2, AND A SEQUENCE OF IMAX K0-ELEMENT STAR EVENTS FROM BASE.INP. THE ROUTINE GENERATES ALL POSSIBLE K0-ELEMENT EVENTS FROM PERM.INP AND EACH GENERATED EVENT IS INTERSECTED WITH EACH EVENT IN A SEQUENCE OF STAR EVENTS READ FROM FILE BASE.INP. THE ROUTINE FILTERS A SEQUENCE OF K0-ELEMENT EVENTS OF BLOCK-SIZE B. THE PROGRAM IS AUTOMATICALLY TERMINATED WHEN A SEQUENCE OF EVENTS IS GENERATED WHICH QUALIFIES AS A HIGH-PROBABILITY SEQUENCE. THE ROUTINE FLAGS THE ELEMENTS OF A DESIRED RANGE OF STAR EVENTS AS THEY OCCUR AMONG THE ELEMENTS OF EACH TEST EVENT. MOREOVER, OUTPUT TEST EVENTS ARE PRINTED IN THE FILE STAT94.INP FOR FUTURE USE BY OTHER ROUTINES. MOREOVER, THE NUMBER AND PERCENTAGE OF 0's , 1's, 2's, 3's, 4's, ... , K0's ARE COMPUTED AS DETERMINED CARDINALITIES OF INTERSECTION NUMBERS BETWEEN TEST EVENTS AND EACH EVENT IN THE RANGE OF SELECTED STAR EVENTS. A CONFIGURATION MATRIX IS GENERATED WHICH INDICATES THE ELEMENTS IN COMMON BETWEEN TEST EVENT AND THE DESIRED RANGE OF SUCCESSIVE STAR EVENTS. THE ROUTINE ALSO PREDICTS THE NEXT SUCCESSFUL INTERSECTION INDEX BETWEEN A STAR EVENT AND THE GENERATED TEST EVENT. THE ROUTINE STAT3945 FILTERS TEST EVENTS FROM PERM.INP INTO STAT3945.OUT AND STAT94.INP. INPUT EVENTS FROM PERM.INP ARE ACCEPTED AS [*]-QUALIFIED iff Property 1 : TMAX IN THE INTERVAL [ T1,T2 ] AND | TMAX | .GE. KCT, WHERE 1/KCT IS THE OCCURRENCE CADENCE OVER ALL STAR EVENTS. STAT3945 IS A VARIANT OF STAT13576 STREAMLINING OUTPUT UNTIL AN EXHAUSTIVE SEARCH OVER PERM.INP IS COMPLETED FOR QUALIFYING K0-ELEMENT EVENTS OF A DESIRED OR SELECTED BLOCK-SIZE. STAR INDICES ARE USED IN SELECTING QUALIFYING TEST EVENTS. CF. STAT1506 (AN EMBELLISHMENT OF STAT1323) FOR A VERSION OF STAT3945 WHICH GENERATES BLOCKS OF INPUT EVENTS RANDOMLY. STAT3945 USES A SEQUENCE OF CONSECUTIVE INDICES VS. DELTA TO GENERATE THE SPECTRUM OF EVENTS WHOSE VALUES OF DELTA MATCH THE GIVEN SEQUENCE OF INDICES WITHIN A DESIRED INTERVAL, WHERE DELTA = IMAX - ( H(II)+MOD(H(II),KCT) ). CF STAT1504. CF. STAT1619, WHICH IS THE PERMUTATION VERSION OF STAT3945. CF. ALSO STAT2383. CF. ALSO STAT1654. [*]-QUALIFYING BLOCKS ARE RANKED IN DESCENDING ORDER OF PROBABILITY FOR EACH VALUE OF TMAX, WHERE NTMAX = TMAX - KCT. CF. ALSO STAT1631. EVENTS ARE RANKED IN DESCENDING ORDER OF PROBABILITY OF OCCURRENCE ON THE NEXT TRIAL VIA A GEOMETRIC PROBABILITY PDF. CF. STAT1618 AND STAT3576. CF. STAT3905 AND STAT1618. CF. ALSO STAT3909 FOR THE CASE: K0 = 5. A CUMULATIVE FILE OF GENERATED [*]-QUALIFYING TEST EVENTS IS RECORDED IN CUMULAT.OUT. CF. ALSO STAT3911. ========================================================================= -- L 3946 -- MONITOR MATRIX GENERATOR XXIX FREQUENCY COUNTS FOR A SEQUENCE OF ELEMENTS < 1 , 2, ... , L0 > VS. A SEQUENCE OF STAR EVENTS ( VARIANT OF STAT3246 ) ( PROBABILITY THAT ELEMENT L OCCURS IN THE NEXT STAR EVENT VIA A PROBABILITY DISTRIBUTION BASED UPON ZDELTA(L) = NZ0(L) * PPP(L) ) READS A SEQUENCE OF IMAX STAR EVENTS ON THE ELEMENTS ON THE ELEMENTS IN T = < 1, 2, ... , L0 > DETERMINES A (0,1) - OCCURRENCE MATRIX FOR EACH OF THE L0 ELEMENTS OF THE SET T, THE RELATIVE FREQUENCY OF EACH ELEMENT IN T, AND DETERMINES A PROJECTED SEQUENCE OF TRANSLATION VECTORS IN PERM.INP, WHICH ARE HIGHLY LIKELY TO OCCUR IN THE NEXT K0-ELEMENT STAR EVENT OF BASE.INP. STAT3946 IS A VARIANT OF STAT3476 AND STAT3532. THE ROUTINE RANKS STAR ELEMENTS, BUT FILTERS STAR ELEMENTS, BASED UPON WHETHER OR NOT THE NUMBER OF 0'S SUCCEEDING THE LAST 1 IN THE STAR EVENT INTERSECTION OCCURRENCE SEQUENCE EXCEEDS A DETERMINED THRESHOLD VALUE, M0, BASED UPON STAR EVENT INDEXES. STAT3946 READS UP TO 100 STAR EVENTS IN BASE.INP AND ANALYZES ELEMENTS IN THE RANGE < 1, ... , L0 >, WHERE THE MAXIMUM VALUE OF L0 IS 54. CF. ALSO STAT893, STAT894, STAT899, AND STAT933. VS. THE BASE SET OF STAR EVENTS, BUT FILTERING STAR ELEMENTS, BASED UPON WHETHER OR NOT THE INDEX OF STAR EVENT (IMAX+1-M0) IS CONGRUENT TO 0 (MOD KCT), WHERE M0 IS THE STAR INDEX OF THE FIRST OCCURRING ELEMENT 1 IN THE (0,1) - OCCURRENCE MATRIX AND KCT IS THE NUMBER OF ELAPSED EVENTS PER OCCURRENCE OF A 1 IN THE (0,1) - OCCURRENCE MATRIX FOR EACH OF THE L0 STAR ELEMENTS. M1 IS THE DESIRED THRESHOLD VALUE FOR INDEXES: M1 (MOD KCT). STAT3946 READS UP TO 100 STAR EVENTS IN BASE.INP AND ANALYZES ELEMENTS IN THE RANGE < 1, ... , L0 >, WHERE THE MAXIMUM VALUE OF L0 IS 54. CF. ALSO STAT893, STAT894, STAT899, AND STAT933. STAT3946 IS A VARIANT OF STAT934, BUT UTILIZES A DIFFERENT ALGORITHMIC TECHNIQUE FOR DETERMINING HIGH-PROBABILITY ELEMENTS. SIGNIFICANTLY, STAT3946 GENERATES PERM.OUT AND PERM2.OUT FOR PROCESSING AS PERM.INP IN STAT543, STAT3011, STAT3012, STAT3013, STAT3121. AND STAT3122. AN M0-ELEMENT PERMUTATION IS GENERATED INTO PERM7.OUT, CONSISTING OF THE HIGHEST RANKING ELEMENTS BY WEIGHT, D(L), OVER THE LAST Q0 K0-ELEMENT STAR EVENTS IN BASE.INP, WHERE D(L) = 1000 * PROBABILITY THAT ELEMENT L WILL OCCUR IN EVENT IMAX+1, IMMEDIATELY SUCCEEDING THE FINAL STAR EVENT. THE SUBSET OF M0 UNIQUE ELEMENTS IS DETERMINED FROM THE LAST Q0 STAR EVENTS SELECTED IN REAL-TIME BY THE ANALYST AND RANED VIA WEIGHTS, , WITH FORMAT: [ I2,' ).',2X,I4,2X,I4,44X,F12.6 ] FOR FURTHER ANALYSIS. AN (IMAX x K0)-DIMENSIONAL MATRIX OF OF INCREMENTS BETWEEN ADJACENT OR SUCCESSIVE PAIRS OF TENS DIGITS FOR ELEMENTS OVER THE LAST IMAX STAR EVENTS IS DETERMINED AND RECORDED IN STAT3946.OT3. MOREOVER, AN (IMAX x K0)-DIMENSIONAL MATRIX OF OF INCREMENTS BETWEEN ADJACENT OR SUCCESSIVE PAIRS OF UNITS DIGITS FOR ELEMENTS OVER THE LAST IMAX STAR EVENTS IS DETERMINED AND RECORDED IN STAT3946.OT4. A SEQUENCE OF FREQUENCIES OF ELEMENTS , L = 1 , 2 , ... , L0 IS GENERATED AS AN OUTPUT FILE, PERM.INP FOR USAGE, E.G., IN STAT3121 OR STAT3798 AS PERM.INP. A COMPUTED SEQUENCE OF IMAX K0-ELEMENT MEAN DEVIATIONS OF SUCCESSIVE PAIRS OF ELEMENTS (OVER THE K0 COLUMNS OF STAR EVENTS IN BASE.INP) IS RECORDED AS STAT3683.INP FOR FURTHER ANALYSIS IN STAT3683. A 6-ELEMENT VECTOR OF COLUMN MEANS IS GENERATED AND RECORDED IN MEANS.OUT. STAT3946 ALSO GENERATES AND RECORDS DISPLACEMENTS FROM BASE.INP INTO STAT163. A SEQUENCE OF FREQUENCIES ( FREQ(L), L=1, ... , L0 ) IS RECORDED IN PERM.INP TO BE UTILIZED AS PERM.INP IN STAT3764. STAT3946 IS A VARIANT OF STAT3832, STAT3825 AND STAT3819. THE FILE RANK2(L).OUT IS GENERATED FOR STAT3841, UTILIZED AS PERM.INP. SALIENT PERMUTATIONS ARE GENERATED IN PERM.OUT AND PERM3.OUT. RECORDED IN STAT3946.OT3 IS THE NUMBER OF [1]"s PER ELEMENT VS. JMAX STAR EVENTS PAIRED WITH THE CORREESPONDING RELARIVE FREQUENCY PER ELEMENT OVER JMAX STAR EVENTS. RECORDED IN STAT3845.INP IS THE NUMBER OF RIGHT TRAILING ZEROS, NZ0, OF EACH ELEMENT VS. THE JMAX STAR EVENTS IN BASE.INP. A PERMUTATION OF Q0 [*]-QUALIFYING ELEMENTS IS RECORDED IN PERM4.OUT, WITH NZ0(L) .GE. NLOP. AND 1 / NLOP IS THE OCCRRENCE CADENCE FOR ELEMENT L, OVER JMAX STAR EVENTS. A SEQUENCE OF WEIGHTS, < WT2(L) > , IS RECORDED IN THE FILE WT2(L).OUT, WHERE WT2(L) = 1.0 / NZ0(L) FOR EACH L, L = 1, 2, 3, ... , L0. CF. STAT94.INP FOR 5 TACITLY SELECTED HIGH-PROBABILITY K0-ELEMENT EVENTS FROM PERM.OUT. THE TOP-RANKING ELEMENT VIA ZDELTA(L) % IN EACH ONE OF K0 COLUMNS OF STAR EVENTS IS RECORDED IN CUMULAT.OUT. ========================================================================= -- L 3947 -- MONITOR MATRIX GENERATOR XXIX FREQUENCY COUNTS FOR A SEQUENCE OF ELEMENTS < 1 , 2, ... , L0 > VS. A SEQUENCE OF STAR EVENTS ( VARIANT OF STAT3246 AND STAT3946 ) ( PROBABILITY THAT ELEMENT L OCCURS IN THE NEXT STAR EVENT VIA A PROBABILITY DISTRIBUTION BASED UPON RELATIVE FREQUENCY PDF FOR PP(L) ) READS A SEQUENCE OF IMAX STAR EVENTS ON THE ELEMENTS ON THE ELEMENTS IN T = < 1, 2, ... , L0 > DETERMINES A (0,1) - OCCURRENCE MATRIX FOR EACH OF THE L0 ELEMENTS OF THE SET T, THE RELATIVE FREQUENCY OF EACH ELEMENT IN T, AND DETERMINES A PROJECTED SEQUENCE OF TRANSLATION VECTORS IN PERM.INP, WHICH ARE HIGHLY LIKELY TO OCCUR IN THE NEXT K0-ELEMENT STAR EVENT OF BASE.INP. STAT3947 IS A VARIANT OF STAT3476 AND STAT3532. THE ROUTINE RANKS STAR ELEMENTS, BUT FILTERS STAR ELEMENTS, BASED UPON WHETHER OR NOT THE NUMBER OF 0'S SUCCEEDING THE LAST 1 IN THE STAR EVENT INTERSECTION OCCURRENCE SEQUENCE EXCEEDS A DETERMINED THRESHOLD VALUE, M0, BASED UPON STAR EVENT INDEXES. STAT3947 READS UP TO 100 STAR EVENTS IN BASE.INP AND ANALYZES ELEMENTS IN THE RANGE < 1, ... , L0 >, WHERE THE MAXIMUM VALUE OF L0 IS 54. CF. ALSO STAT893, STAT894, STAT899, AND STAT933. VS. THE BASE SET OF STAR EVENTS, BUT FILTERING STAR ELEMENTS, BASED UPON WHETHER OR NOT THE INDEX OF STAR EVENT (IMAX+1-M0) IS CONGRUENT TO 0 (MOD KCT), WHERE M0 IS THE STAR INDEX OF THE FIRST OCCURRING ELEMENT 1 IN THE (0,1) - OCCURRENCE MATRIX AND KCT IS THE NUMBER OF ELAPSED EVENTS PER OCCURRENCE OF A 1 IN THE (0,1) - OCCURRENCE MATRIX FOR EACH OF THE L0 STAR ELEMENTS. M1 IS THE DESIRED THRESHOLD VALUE FOR INDEXES: M1 (MOD KCT). STAT3947 READS UP TO 100 STAR EVENTS IN BASE.INP AND ANALYZES ELEMENTS IN THE RANGE < 1, ... , L0 >, WHERE THE MAXIMUM VALUE OF L0 IS 54. CF. ALSO STAT893, STAT894, STAT899, AND STAT933. STAT3947 IS A VARIANT OF STAT934, BUT UTILIZES A DIFFERENT ALGORITHMIC TECHNIQUE FOR DETERMINING HIGH-PROBABILITY ELEMENTS. SIGNIFICANTLY, STAT3947 GENERATES PERM.OUT AND PERM2.OUT FOR PROCESSING AS PERM.INP IN STAT543, STAT3011, STAT3012, STAT3013, STAT3121. AND STAT3122. AN M0-ELEMENT PERMUTATION IS GENERATED INTO PERM7.OUT, CONSISTING OF THE HIGHEST RANKING ELEMENTS BY WEIGHT, D(L), OVER THE LAST Q0 K0-ELEMENT STAR EVENTS IN BASE.INP, WHERE D(L) = 1000 * PROBABILITY THAT ELEMENT L WILL OCCUR IN EVENT IMAX+1, IMMEDIATELY SUCCEEDING THE FINAL STAR EVENT. THE SUBSET OF M0 UNIQUE ELEMENTS IS DETERMINED FROM THE LAST Q0 STAR EVENTS SELECTED IN REAL-TIME BY THE ANALYST AND RANED VIA WEIGHTS, , WITH FORMAT: [ I2,' ).',2X,I4,2X,I4,44X,F12.6 ] FOR FURTHER ANALYSIS. AN (IMAX x K0)-DIMENSIONAL MATRIX OF OF INCREMENTS BETWEEN ADJACENT OR SUCCESSIVE PAIRS OF TENS DIGITS FOR ELEMENTS OVER THE LAST IMAX STAR EVENTS IS DETERMINED AND RECORDED IN STAT3947.OT3. MOREOVER, AN (IMAX x K0)-DIMENSIONAL MATRIX OF OF INCREMENTS BETWEEN ADJACENT OR SUCCESSIVE PAIRS OF UNITS DIGITS FOR ELEMENTS OVER THE LAST IMAX STAR EVENTS IS DETERMINED AND RECORDED IN STAT3947.OT4. A SEQUENCE OF FREQUENCIES OF ELEMENTS , L = 1 , 2 , ... , L0 IS GENERATED AS AN OUTPUT FILE, PERM.INP FOR USAGE, E.G., IN STAT3121 OR STAT3798 AS PERM.INP. A COMPUTED SEQUENCE OF IMAX K0-ELEMENT MEAN DEVIATIONS OF SUCCESSIVE PAIRS OF ELEMENTS (OVER THE K0 COLUMNS OF STAR EVENTS IN BASE.INP) IS RECORDED AS STAT3683.INP FOR FURTHER ANALYSIS IN STAT3683. A 6-ELEMENT VECTOR OF COLUMN MEANS IS GENERATED AND RECORDED IN MEANS.OUT. STAT3947 ALSO GENERATES AND RECORDS DISPLACEMENTS FROM BASE.INP INTO STAT163. A SEQUENCE OF FREQUENCIES ( FREQ(L), L=1, ... , L0 ) IS RECORDED IN PERM.INP TO BE UTILIZED AS PERM.INP IN STAT3764. STAT3947 IS A VARIANT OF STAT3832, STAT3825 AND STAT3819. THE FILE RANK2(L).OUT IS GENERATED FOR STAT3841, UTILIZED AS PERM.INP. SALIENT PERMUTATIONS ARE GENERATED IN PERM.OUT AND PERM3.OUT. RECORDED IN STAT3947.OT3 IS THE NUMBER OF [1]"s PER ELEMENT VS. JMAX STAR EVENTS PAIRED WITH THE CORREESPONDING RELARIVE FREQUENCY PER ELEMENT OVER JMAX STAR EVENTS. RECORDED IN STAT3845.INP IS THE NUMBER OF RIGHT TRAILING ZEROS, NZ0, OF EACH ELEMENT VS. THE JMAX STAR EVENTS IN BASE.INP. A PERMUTATION OF Q0 [*]-QUALIFYING ELEMENTS IS RECORDED IN PERM4.OUT, WITH NZ0(L) .GE. NLOP. AND 1 / NLOP IS THE OCCRRENCE CADENCE FOR ELEMENT L, OVER JMAX STAR EVENTS. A SEQUENCE OF WEIGHTS, < WT2(L) > , IS RECORDED IN THE FILE WT2(L).OUT, WHERE WT2(L) = 1.0 / NZ0(L) FOR EACH L, L = 1, 2, 3, ... , L0. CF. STAT94.INP FOR 5 TACITLY SELECTED HIGH-PROBABILITY K0-ELEMENT EVENTS FROM PERM.OUT. THE TOP-RANKING ELEMENT VIA PP(L) % IN EACH ONE OF K0 COLUMNS OF STAR EVENTS IS RECORDED IN CUMULAT.OUT. ========================================================================= -- L 3948 -- MONITOR MATRIX GENERATOR XXXXX FREQUENCY COUNTS FOR ELEMENTS IN A LARGE SEQUENCE OF V1-ELEMENT PERMUTATIONS ( PRODUCT OF WEIGHTS VARIANT OF STAT3640 ) ( PERMUTATION VERSION OF STAT3641 , STAT3642, AND STAT3647 ) (VARIANT OF STAT3639, STAT3638, STAT3419, STAT3469, STAT3487, STAT3491) ( PRODUCTS OF WEIGHTS OF ELEMENTS PER K0-ELEMENT TEST EVENT ) ( UTILIZING PRE-DETERMINED GEOMETRIC, NEGATIVE BINOMIAL, OR POISSON PROBABILITY DISTRIBUTION TO DETERMINE PROBABILITIES ) STAT3948 READS AN L0-ELEMENT SEQUENCE OF PROBABILITIES/WEIGHTS OF ELEMENTS IN WT(L).INP ON < 1, 2, ... , L0 >, GENERATED VIA STAT3246, READS A V0-ELEMENT PERMUTATION FROM PERM.INP ON THE ELEMENTS IN PERM.INP, DETERMINES ALL [ V0 CHOOSE K0 ] K0-ELEMENT TEST EVENTS, AND RANKS THE EVENTS IN DESCENDING ORDER OF PRODUCTS OF WEIGHTS OF ELEMENTS OVER EACH OF THE COLUMNS < 1, 2, ... , K0>. STAT3948 IS A VARIANT OF STAT3641 AND STAT3642 AND STAT3247, ANALYZING K0-ELEMENT SUBSTRINGS FROM PERM.INP, RATHER THAN K0-ELEMENT TEST EVENTS FROM STAT3948.INP. A PRODUCT OF ELEMENT PROBABILITIES PER EVENT, WITHIN THE RANGE [ S1,S2 ] , IS SELECTED IN REAL-TIME BY THE ANALYST. ========================================================================= -- L 3949 -- MONITOR MATRIX GENERATOR XXXXXI FREQUENCY COUNTS FOR ELEMENTS IN A LARGE SEQUENCE OF K0-ELEMENT TEST EVENTS ( VARIANT WT(L) PRODUCT VERSION OF STAT3641 ) ( PRODUCTS OF WEIGHTS OF ELEMENTS PER K0-ELEMENT TEST EVENT ) ( UTILIZING A PRE-DETERMINED PROBABILITY DISTRIBUTION TO DETERMINE PROBABILITIES FOR RANKING TEST EVENTSS ) STAT3949 READS AN L0-ELEMENT SEQUENCE OF PROBABILITIES / WEIGHTS OF ELEMENTS IN WT(L).INP ON < 1, 2, ... , L0 >, GENERATED VIA STAT3246, READS AN OPTIIONALLY LARGE K0-ELEMENT EVENT SEQUENCE IN STAT3949.INP, AND RANKS THE EVENTS IN DESCENDING ORDER OF PRODUCTS OF WEIGHTS OF ELEMENTS OVER ALL OF THE COLUMNS < 1, 2, ... , K0>. STAT3640 IS A VARIANT OF STAT3949 AND STAT3642 AND STAT3247, ANALYZING K0-ELEMENT SUBSTRINGS FROM PERM.INP, RATHER THAN K0-ELEMENT TEST EVENTS FROM STAT3949.INP. A PRODUCT OF ELEMENT PROBABILITIES PER EVENT, WITHIN THE RANGE [ S1,S2 ], IS SELECTED IN REAL-TIME BY THE ANALYST. EVENTS ARE RECORDED IN DESCENDING ORDER OF WT(L) PRODUCT PROBABILITY IN STAT94.INP. ========================================================================= -- L 3950 -- MONITOR MATRIX GENERATOR XXIX FREQUENCY COUNTS FOR A SEQUENCE OF ELEMENTS < 1 , 2, ... , L0 > VS. A SEQUENCE OF STAR EVENTS ( VARIANT OF STAT3246, STAT3832, STAT3825 AND STAT3819 ) ( PROBABILITY THAT ELEMENT L OCCURS IN THE NEXT STAR EVENT VIA A RELATIVE FREQUENCY PROBABILITY DISTRIBUTION ) READS A SEQUENCE OF IMAX STAR EVENTS ON THE ELEMENTS ON THE ELEMENTS IN T = < 1, 2, ... , L0 > DETERMINES A (0,1) - OCCURRENCE MATRIX FOR EACH OF THE L0 ELEMENTS OF THE SET T, THE RELATIVE FREQUENCY OF EACH ELEMENT IN T, AND DETERMINES A PROJECTED SEQUENCE OF TRANSLATION VECTORS IN PERM.INP, WHICH ARE HIGHLY LIKELY TO OCCUR IN THE NEXT K0-ELEMENT STAR EVENT OF BASE.INP. STAT3950 IS A VARIANT OF STAT3476 AND STAT3532. THE ROUTINE RANKS STAR ELEMENTS, BUT FILTERS STAR ELEMENTS, BASED UPON WHETHER OR NOT THE NUMBER OF 0'S SUCCEEDING THE LAST 1 IN THE STAR EVENT INTERSECTION OCCURRENCE SEQUENCE EXCEEDS A DETERMINED THRESHOLD VALUE, M0, BASED UPON STAR EVENT INDEXES. STAT3950 READS UP TO 100 STAR EVENTS IN BASE.INP AND ANALYZES ELEMENTS IN THE RANGE < 1, ... , L0 >, WHERE THE MAXIMUM VALUE OF L0 IS 54. CF. ALSO STAT893, STAT894, STAT899, AND STAT933. VS. THE BASE SET OF STAR EVENTS, BUT FILTERING STAR ELEMENTS, BASED UPON WHETHER OR NOT THE INDEX OF STAR EVENT (IMAX+1-M0) IS CONGRUENT TO 0 (MOD KCT), WHERE M0 IS THE STAR INDEX OF THE FIRST OCCURRING ELEMENT 1 IN THE (0,1) - OCCURRENCE MATRIX AND KCT IS THE NUMBER OF ELAPSED EVENTS PER OCCURRENCE OF A 1 IN THE (0,1) - OCCURRENCE MATRIX FOR EACH OF THE L0 STAR ELEMENTS. M1 IS THE DESIRED THRESHOLD VALUE FOR INDEXES: M1 (MOD KCT). STAT3950 READS UP TO 100 STAR EVENTS IN BASE.INP AND ANALYZES ELEMENTS IN THE RANGE < 1, ... , L0 >, WHERE THE MAXIMUM VALUE OF L0 IS 54. CF. ALSO STAT893, STAT894, STAT899, AND STAT933. STAT3950 IS A VARIANT OF STAT934, BUT UTILIZES A DIFFERENT ALGORITHMIC TECHNIQUE FOR DETERMINING HIGH-PROBABILITY ELEMENTS. SIGNIFICANTLY, STAT3950 GENERATES PERM.OUT AND PERM2.OUT FOR PROCESSING AS PERM.INP IN STAT543, STAT3011, STAT3012, STAT3013, STAT3121. AND STAT3122. AN M0-ELEMENT PERMUTATION IS GENERATED INTO PERM7.OUT, CONSISTING OF THE HIGHEST RANKING ELEMENTS BY WEIGHT, D(L), OVER THE LAST Q0 K0-ELEMENT STAR EVENTS IN BASE.INP, WHERE D(L) = 1000 * PROBABILITY THAT ELEMENT L WILL OCCUR IN EVENT IMAX+1, IMMEDIATELY SUCCEEDING THE FINAL STAR EVENT. THE SUBSET OF M0 UNIQUE ELEMENTS IS DETERMINED FROM THE LAST Q0 STAR EVENTS SELECTED IN REAL-TIME BY THE ANALYST AND RANED VIA WEIGHTS, , WITH FORMAT: [ I2,' ).',2X,I4,2X,I4,44X,F12.6 ] FOR FURTHER ANALYSIS. AN (IMAX x K0)-DIMENSIONAL MATRIX OF OF INCREMENTS BETWEEN ADJACENT OR SUCCESSIVE PAIRS OF TENS DIGITS FOR ELEMENTS OVER THE LAST IMAX STAR EVENTS IS DETERMINED AND RECORDED IN STAT3950.OT3. MOREOVER, A SEQUENCE OF FREQUENCIES OF ELEMENTS , L = 1 , 2 , ... , L0 IS GENERATED AS AN OUTPUT FILE, PERM.INP FOR USAGE, E.G., IN STAT3121 OR STAT3798 AS PERM.INP. A COMPUTED SEQUENCE OF IMAX K0-ELEMENT MEAN DEVIATIONS OF SUCCESSIVE PAIRS OF ELEMENTS (OVER THE K0 COLUMNS OF STAR EVENTS IN BASE.INP) IS RECORDED AS STAT3683.INP FOR FURTHER ANALYSIS IN STAT3683. A 6-ELEMENT VECTOR OF COLUMN MEANS IS GENERATED AND RECORDED IN MEANS.OUT. STAT3950 ALSO GENERATES AND RECORDS DISPLACEMENTS FROM BASE.INP INTO STAT163. A SEQUENCE OF FREQUENCIES ( FREQ(L), L=1, ... , L0 ) IS RECORDED IN PERM.INP TO BE UTILIZED AS PERM.INP IN STAT3764. STAT3950 IS A VARIANT OF STAT3832, STAT3825 AND STAT3819. THE FILE RANK2(L).OUT IS GENERATED FOR STAT3841, UTILIZED AS PERM.INP. SALIENT PERMUTATIONS ARE GENERATED IN PERM.OUT AND PERM3.OUT. RECORDED IN STAT3950.OT3 IS THE NUMBER OF [1]"s PER ELEMENT VS. JMAX STAR EVENTS PAIRED WITH THE CORREESPONDING RELARIVE FREQUENCY PER ELEMENT OVER JMAX STAR EVENTS. RECORDED IN STAT3845.INP IS THE NUMBER OF RIGHT TRAILING ZEROS, NZ0, OF EACH ELEMENT VS. THE JMAX STAR EVENTS IN BASE.INP. A PERMUTATION OF Q0 [*]-QUALIFYING ELEMENTS IS RECORDED IN PERM4.OUT, WITH NZ0(L) .GE. NLOP. AND 1 / NLOP IS THE OCCRRENCE CADENCE FOR ELEMENT L, OVER JMAX STAR EVENTS. A SEQUENCE OF WEIGHTS, < WT2(L) > , IS RECORDED IN THE FILE WT2(L).OUT, WHERE WT2(L) = 1.0 / NZ0(L) FOR EACH L, L = 1, 2, 3, ... , L0. CF. STAT94.INP FOR 5 TACITLY SELECTED HIGH-PROBABILITY K0-ELEMENT EVENTS FROM PERM.OUT. THE TOP-RANKING ELEMENT VIA WT % IN EACH ONE OF K0 COLUMNS OF STAR EVENTS IS RECORDED IN CUMULAT.OUT. ========================================================================= -- L 3951 -- MONITOR MATRIX GENERATOR XXXXX FREQUENCY COUNTS FOR ELEMENTS IN A LARGE SEQUENCE OF K0-ELEMENT EVENTS ( VARIANT OF STAT2343 AND STAT3610 AND DUAL OF STAT2872 ) CASE II ( K0 = 6 ) ( GENERATING ALL [ n C k0 ] k0-ELEMENT EVENTS FROM A ( K0 x ENUM(I) )- DIMENSIONAL BLOCK OF PERMUTATION ELEMENTS, WHERE THE K0 ROWS ARE DISTINCT, AND RANKING K0-ELEMENT EVENTS FROM THE GENERATED SEQUENCE OF ELEMENTS, DETERMINING THE NUMBER OF ELEMENTS IN EACH EVENT PER 1-EVENT BLOCK IN VS. THE BASE SET, DETERMINES THE RELATIVE FREQUENCIES AND SUM OF RELATIVE FREQUENCIES OF COMMON ELEMENTS FOR COMPARISON, AND GENERATES A MONITOR MATRIX REFLECTING THE PATTERNS OF MATCHES FROM THE ABOVE SEQUENCE OF BASE SETS. STAT3951 IS A VARIANT STAT1030 AND STAT3149, ANALYZING K0-ELEMENT TEST EVENTS RATHER THAN PERMUTATIONS, WITH EVENTS FILTERED FROM SUB-BLOCKS OF SIZE 1. IF THE EXPECTED FREQUENCY CADENCE = 1/K, THEN STAT3951 TACITLY EXAMINES THE LAST K FREQUENCY COUNTS, INSTEAD OF THE LAST JMAX FREQUENCY COUNTS, WHEN SELECTING [*]-QUALIFYING EVENTS TO BE FILTERED, WHERE K IS A DETERMINED FREQUENCY CADENCE FOR 1 / K EVENTS. CF. STAT1031 AND STAT1036 FOR PERMUTATION REPLICAS. STAT3951 READS SUB-BLOCKS OF INPUT TEST EVENTS FROM STAT3951.INP AND UP TO 400 INPUT STAR EVENTS FROM BASE.INP. [*]-QUALIFYING EVENTS ARE FILTERED AND RECORDED IN STAT94.INP, RANKED IN DESCENDING OR ASCENDING ORDER OF GEOPROB, THE CUMULATIVE PROBABILITY THAT EVENT E WILL OCCUR AT LEAST ONCE WITHIN THE NEXT NZ0 TRIALS, WHERE NZ0P1 = NZ0 + 1 AND NZ0 IS THE NUMBER OF RIGHT TRAILING [0]"s IN THE BINARY BLUEPRINT FOR EVENT E VS. IMAX STAR EVENTS IN BASE.INP. STAT3951 IS THE TEST EVENT VERSION OF STAT2349. CF. STAT2349 FOR THE PERMUTATION VERSION. CF. ALSO STAT2514, STAT2604 , STAT2606, AND STAT3149. THE FILE PERM.INP IS TACITYLY GENERATED FOR STAT3573. CF. ALSO STAT3723, STAT3826, AND STAT3610. A FILE CONSISTING OF NZ0P1 AND PP IS GENERATED FOR EACH [*]-QUALIFYING EVNET AND RECORDED IN STAT3845.INP FOR FURTHER ANALYSIS. A (K0xK0)-DIMENSIONAL BLOCK OF EVENTS IS RECORDED IN STAT94.IN2, REPRESENTING THE TRANSPOSE OF THE INPUT MATRIX OF STAT3951.INP. ========================================================================= -- L 3952 -- ( GENERATING INDEXED-BASED SUB-PERMUTATIONS FROM A FIXED PERMUTATION ) STAT3952 READS A FIXED PERMUTATION OF DIMENSION NUMP FROM PERM.INP AND A SELECTED SEQUENCE OF INDICES ( MOD KK ) FROM STAT3952.INP: < M1, M2, M3, M4, M5, M6, M7, M8, M9, M10 > ( MOD KK ). AND GENERATES A SEQUENCE OF SUB-PERMUTATIONS INTO PERM.OUT, BASED UPON THE SEQUENCES IN STAT3952.INP. THE SUB-PERMUTATIONS OF PERM.OUT ARE UTILIZED AS INPUT PERMUTATIONS (PERM.INP) OF STAT3945. ========================================================================= -- L 3953 -- ( PREDICTING FUTURE INTERSECTIONS FOR A CYCLIC BLOCK OF ALL POSSIBLE K0-ELEMENT EVENTS GENERATED FROM A FIXED F0-ELEMENT PERMUTATION ) XXXXXXI ( PERMUTATION VARIANT OF STAT3905 FOR K0-ELEMENT QUALIFYING EVENTS VIA A GEOMETRIC PROBABILITY PDF ) ( VARIANT OF STAT3910 -- [ CASE: K0 .EQ. 6 ] ) ( GEOMETRIC PROBABILITY PDF HYBRID OF STAT3910 AND STAT1618 ) STAT3953 READS A FIXED Q0-ELEMENT PERMUTATION ON < 1 , ... , L0 > FROM PERM.INP, A SEQUENCE OF FMAX K0-ELEMENT TRANSLATION VECTORS FROM ST0T3953.IN2, AND A SEQUENCE OF IMAX K0-ELEMENT STAR EVENTS FROM BASE.INP. THE ROUTINE GENERATES ALL POSSIBLE K0-ELEMENT EVENTS FROM PERM.INP AND EACH GENERATED EVENT IS INTERSECTED WITH EACH EVENT IN A SEQUENCE OF STAR EVENTS READ FROM FILE BASE.INP. THE ROUTINE FILTERS A SEQUENCE OF K0-ELEMENT EVENTS OF BLOCK-SIZE B. THE PROGRAM IS AUTOMATICALLY TERMINATED WHEN A SEQUENCE OF EVENTS IS GENERATED WHICH QUALIFIES AS A HIGH-PROBABILITY SEQUENCE. THE ROUTINE FLAGS THE ELEMENTS OF A DESIRED RANGE OF STAR EVENTS AS THEY OCCUR AMONG THE ELEMENTS OF EACH TEST EVENT. MOREOVER, OUTPUT TEST EVENTS ARE PRINTED IN THE FILE STAT94.INP FOR FUTURE USE BY OTHER ROUTINES. MOREOVER, THE NUMBER AND PERCENTAGE OF 0's , 1's, 2's, 3's, 4's, ... , K0's ARE COMPUTED AS DETERMINED CARDINALITIES OF INTERSECTION NUMBERS BETWEEN TEST EVENTS AND EACH EVENT IN THE RANGE OF SELECTED STAR EVENTS. A CONFIGURATION MATRIX IS GENERATED WHICH INDICATES THE ELEMENTS IN COMMON BETWEEN TEST EVENT AND THE DESIRED RANGE OF SUCCESSIVE STAR EVENTS. THE ROUTINE ALSO PREDICTS THE NEXT SUCCESSFUL INTERSECTION INDEX BETWEEN A STAR EVENT AND THE GENERATED TEST EVENT. THE ROUTINE STAT3953 FILTERS TEST EVENTS FROM PERM.INP INTO STAT3953.OUT AND STAT94.INP. INPUT EVENTS FROM PERM.INP ARE ACCEPTED AS [*]-QUALIFIED iff Property 1 : TMAX IN THE INTERVAL [ T1,T2 ] AND | TMAX | .GE. KCT, WHERE 1/KCT IS THE OCCURRENCE CADENCE OVER ALL STAR EVENTS. STAT3953 IS A VARIANT OF STAT13576 STREAMLINING OUTPUT UNTIL AN EXHAUSTIVE SEARCH OVER PERM.INP IS COMPLETED FOR QUALIFYING K0-ELEMENT EVENTS OF A DESIRED OR SELECTED BLOCK-SIZE. STAR INDICES ARE USED IN SELECTING QUALIFYING TEST EVENTS. CF. STAT1506 (AN EMBELLISHMENT OF STAT1323) FOR A VERSION OF STAT3953 WHICH GENERATES BLOCKS OF INPUT EVENTS RANDOMLY. STAT3953 USES A SEQUENCE OF CONSECUTIVE INDICES VS. DELTA TO GENERATE THE SPECTRUM OF EVENTS WHOSE VALUES OF DELTA MATCH THE GIVEN SEQUENCE OF INDICES WITHIN A DESIRED INTERVAL, WHERE DELTA = IMAX - ( H(II)+MOD(H(II),KCT) ). CF STAT1504. CF. STAT1619, WHICH IS THE PERMUTATION VERSION OF STAT3953. CF. ALSO STAT2383. CF. ALSO STAT1654. [*]-QUALIFYING BLOCKS ARE RANKED IN DESCENDING ORDER OF PROBABILITY FOR EACH VALUE OF TMAX, WHERE NTMAX = TMAX - KCT. CF. ALSO STAT1631. EVENTS ARE RANKED IN DESCENDING ORDER OF PROBABILITY OF OCCURRENCE ON THE NEXT TRIAL VIA A GEOMETRIC PROBABILITY PDF. CF. STAT1618 AND STAT3576. CF. STAT3905 AND STAT1618. CF. ALSO STAT3909 FOR THE CASE: K0 = 5. A CUMULATIVE FILE OF GENERATED [*]-QUALIFYING TEST EVENTS IS RECORDED IN CUMULAT.OUT. CF. ALSO STAT3911. ========================================================================= -- L 3954 -- ( PREDICTING FUTURE INTERSECTIONS FOR A CYCLIC BLOCK OF ALL POSSIBLE K0-ELEMENT EVENTS GENERATED FROM A FIXED F0-ELEMENT PERMUTATION ) XXXXXXI ( PERMUTATION VARIANT OF STAT3945 FOR K0-ELEMENT QUALIFYING EVENTS VIA A GEOMETRIC PROBABILITY PDF ) ( VARIANT OF STAT3910 -- [ CASE: C0 .EQ. 3 ] ) ( GEOMETRIC PROBABILITY PDF HYBRID OF STAT3910 AND STAT1618 ) STAT3954 READS A FIXED Q0-ELEMENT PERMUTATION ON < 1 , ... , L0 > FROM PERM.INP, A SEQUENCE OF FMAX K0-ELEMENT TRANSLATION VECTORS FROM STAT3954.IN2, AND A SEQUENCE OF IMAX 3-ELEMENT STAR EVENTS FROM BASE.INP. THE ROUTINE GENERATES ALL POSSIBLE K0-ELEMENT EVENTS FROM PERM.INP AND EACH GENERATED EVENT IS INTERSECTED WITH EACH EVENT IN A SEQUENCE OF STAR EVENTS READ FROM FILE BASE.INP. THE ROUTINE FILTERS A SEQUENCE OF 3-ELEMENT EVENTS OF BLOCK-SIZE B. THE PROGRAM IS AUTOMATICALLY TERMINATED WHEN A SEQUENCE OF EVENTS IS GENERATED WHICH QUALIFIES AS A HIGH-PROBABILITY SEQUENCE. THE ROUTINE FLAGS THE ELEMENTS OF A DESIRED RANGE OF STAR EVENTS AS THEY OCCUR AMONG THE ELEMENTS OF EACH TEST EVENT. MOREOVER, OUTPUT TEST EVENTS ARE PRINTED IN THE FILE STAT94.INP FOR FUTURE USE BY OTHER ROUTINES. MOREOVER, THE NUMBER AND PERCENTAGE OF 0's , 1's, 2's, 3's, 4's, ... , K0's ARE COMPUTED AS DETERMINED CARDINALITIES OF INTERSECTION NUMBERS BETWEEN TEST EVENTS AND EACH EVENT IN THE RANGE OF SELECTED STAR EVENTS. A CONFIGURATION MATRIX IS GENERATED WHICH INDICATES THE ELEMENTS IN COMMON BETWEEN TEST EVENT AND THE DESIRED RANGE OF SUCCESSIVE STAR EVENTS. THE ROUTINE ALSO PREDICTS THE NEXT SUCCESSFUL INTERSECTION INDEX BETWEEN A STAR EVENT AND THE GENERATED TEST EVENT. THE ROUTINE STAT3954 FILTERS TEST EVENTS FROM PERM.INP INTO STAT3954.OUT AND STAT94.INP. INPUT EVENTS FROM PERM.INP ARE ACCEPTED AS [*]-QUALIFIED iff Property 1 : TMAX IN THE INTERVAL [ T1,T2 ] AND | TMAX | .GE. KCT, WHERE 1/KCT IS THE OCCURRENCE CADENCE OVER ALL STAR EVENTS. STAT3954 IS A VARIANT OF STAT13576 STREAMLINING OUTPUT UNTIL AN EXHAUSTIVE SEARCH OVER PERM.INP IS COMPLETED FOR QUALIFYING 3-ELEMENT EVENTS OF A DESIRED OR SELECTED BLOCK-SIZE. STAR INDICES ARE USED IN SELECTING QUALIFYING TEST EVENTS. CF. STAT1506 (AN EMBELLISHMENT OF STAT1323) FOR A VERSION OF STAT3954 WHICH GENERATES BLOCKS OF INPUT EVENTS RANDOMLY. STAT3954 USES A SEQUENCE OF CONSECUTIVE INDICES VS. DELTA TO GENERATE THE SPECTRUM OF EVENTS WHOSE VALUES OF DELTA MATCH THE GIVEN SEQUENCE OF INDICES WITHIN A DESIRED INTERVAL, WHERE DELTA = IMAX - ( H(II)+MOD(H(II),KCT) ). CF STAT1504. CF. STAT1619, WHICH IS THE PERMUTATION VERSION OF STAT3954. CF. ALSO STAT2383. CF. ALSO STAT1654. [*]-QUALIFYING BLOCKS ARE RANKED IN DESCENDING ORDER OF PROBABILITY FOR EACH VALUE OF TMAX, WHERE NTMAX = TMAX - KCT. CF. ALSO STAT1631. EVENTS ARE RANKED IN DESCENDING ORDER OF PROBABILITY OF OCCURRENCE ON THE NEXT TRIAL VIA A GEOMETRIC PROBABILITY PDF. CF. STAT1618 AND STAT3576. CF. STAT3905 AND STAT1618. CF. ALSO STAT3909 FOR THE CASE: K0 = 5. A CUMULATIVE FILE OF GENERATED [*]-QUALIFYING TEST EVENTS IS RECORDED IN CUMULAT.OUT. CF. ALSO STAT3911. ========================================================================= -- L 3955 -- ( PREDICTING FUTURE INTERSECTIONS FOR A CYCLIC BLOCK OF ALL POSSIBLE K0-ELEMENT EVENTS GENERATED FROM A FIXED F0-ELEMENT PERMUTATION ) ( PERMUTATION VARIANT OF STAT3945 FOR K0-ELEMENT QUALIFYING EVENTS VIA A GEOMETRIC PROBABILITY PDF ) ( VARIANT OF STAT3910 -- [ CASE: K0 .EQ. 6 ] ) ( GEOM PROBABILITY PDF HYBRID OF STAT3945M STAT3910 AND STAT1618 ) ( ANALYZING DISPLACEMENTS [ H(II+1) - H(II) ] VS. [IMAX+1 - H(II)]) STAT3955 READS A FIXED Q0-ELEMENT PERMUTATION ON < 1 , ... , L0 > FROM PERM.INP, A SEQUENCE OF FMAX K0-ELEMENT TRANSLATION VECTORS ST0T3955.IN2, AND A SEQUENCE OF IMAX K0-ELEMENT STAR EVENTS FROM FROM BASE.INP. THE ROUTINE GENERATES ALL POSSIBLE K0-ELEMENT EVENTS FROM PERM.INP AND EACH GENERATED EVENT IS INTERSECTED WITH EACH EVENT IN A SEQUENCE OF STAR EVENTS READ FROM FILE BASE.INP. THE ROUTINE FILTERS A SEQUENCE OF K0-ELEMENT EVENTS OF BLOCK-SIZE B. THE PROGRAM IS AUTOMATICALLY TERMINATED WHEN A SEQUENCE OF EVENTS IS GENERATED WHICH QUALIFIES AS A HIGH-PROBABILITY SEQUENCE. THE ROUTINE FLAGS THE ELEMENTS OF A DESIRED RANGE OF STAR EVENTS AS THEY OCCUR AMONG THE ELEMENTS OF EACH TEST EVENT. MOREOVER, OUTPUT TEST EVENTS ARE PRINTED IN THE FILE STAT94.INP FOR FUTURE USE BY OTHER ROUTINES. MOREOVER, THE NUMBER AND PERCENTAGE OF 0's , 1's, 2's, 3's, 4's, ... , K0's ARE COMPUTED AS DETERMINED CARDINALITIES OF INTERSECTION NUMBERS BETWEEN TEST EVENTS AND EACH EVENT IN THE RANGE OF SELECTED STAR EVENTS. A CONFIGURATION MATRIX IS GENERATED WHICH INDICATES THE ELEMENTS IN COMMON BETWEEN TEST EVENT AND THE DESIRED RANGE OF SUCCESSIVE STAR EVENTS. THE ROUTINE ALSO PREDICTS THE NEXT SUCCESSFUL INTERSECTION INDEX BETWEEN A STAR EVENT AND THE GENERATED TEST EVENT. THE ROUTINE STAT3955 FILTERS TEST EVENTS FROM PERM.INP INTO STAT3955.OUT AND STAT94.INP. INPUT EVENTS FROM PERM.INP ARE ACCEPTED AS [*]-QUALIFIED iff Property 1 : TMAX IN THE INTERVAL [ T1,T2 ] AND | TMAX | .GE. KCT, WHERE 1/KCT IS THE OCCURRENCE CADENCE OVER ALL STAR EVENTS. STAT3955 IS A VARIANT OF STAT13576 STREAMLINING OUTPUT UNTIL AN EXHAUSTIVE SEARCH OVER PERM.INP IS COMPLETED FOR QUALIFYING K0-ELEMENT EVENTS OF A DESIRED OR SELECTED BLOCK-SIZE. STAR INDICES ARE USED IN SELECTING QUALIFYING TEST EVENTS. CF. STAT1506 (AN EMBELLISHMENT OF STAT1323) FOR A VERSION OF STAT3955 WHICH GENERATES BLOCKS OF INPUT EVENTS RANDOMLY. STAT3955 USES A SEQUENCE OF CONSECUTIVE INDICES VS. DELTA TO GENERATE THE SPECTRUM OF EVENTS WHOSE VALUES OF DELTA MATCH THE GIVEN SEQUENCE OF INDICES WITHIN A DESIRED INTERVAL, WHERE DELTA = IMAX - ( H(II)+MOD(H(II),KCT) ). CF STAT1504. CF. STAT1619, WHICH IS THE PERMUTATION VERSION OF STAT3955. CF. ALSO STAT2383. CF. ALSO STAT1654. [*]-QUALIFYING BLOCKS ARE RANKED IN DESCENDING ORDER OF PROBABILITY FOR EACH VALUE OF TMAX, WHERE NTMAX = TMAX - KCT. CF. ALSO STAT1631. EVENTS ARE RANKED IN DESCENDING ORDER OF PROBABILITY OF OCCURRENCE ON THE NEXT TRIAL VIA A GEOMETRIC PROBABILITY PDF. CF. STAT1618 AND STAT3576. CF. STAT3905 AND STAT1618. CF. ALSO STAT3909 FOR THE CASE: K0 = 5. A CUMULATIVE FILE OF GENERATED [*]-QUALIFYING TEST EVENTS IS RECORDED IN CUMULAT.OUT. ( GEOM PROBABILITY PDF HYBRID OF STAT3945M STAT3910 AND STAT1618 ) ( ANALYZING DISPLACEMENTS [ H(II+1) - H(II) ] VS. [IMAX+1 - H(II)]) CF. ALSO STAT3911. ========================================================================= -- L 3956 -- ( PREDICTING FUTURE INTERSECTIONS FOR A CYCLIC BLOCK OF TEST EVENTS ) ( QUALIFYING CYCLICAL BLOCKS OF EVENTS VIA A GEOMETRIC PDF ) ( VARIANT OF STAT1618 AND STAT3955) ( GEOM PROBABILITY PDF HYBRID OF STAT3955 STAT3910 AND STAT1618 ) ( ANALYZING DISPLACEMENTS [ H(II+1) - H(II) ] VS. [IMAX+1 - H(II)]) STAT3956 READS A LARGE SEQUENCE OF K0-ELEMENT TEST EVENTS FROM STAT3956.INP, A SEQUENCE OF FMAX K0-ELEMENT TRANSLATION VECTORS FROM ST0T3956.IN2, AND A SEQUENCE OF IMAX K0-ELEMENT STAR EVENTS FROM STAT3956.INP AND A SEQUENCE OF IMAX K0-ELEMENT STAR EVENTS FROM BASE.INP. THE INPUT SEQUENCE IN STAT3956.INP IS READ AS A FIXED K0-ELEMENT EVENT AND EACH SUCH EVENT IS INTERSECTED WITH EACH EVENT IN THE SEQUENCE OF STAR EVENTS READ FROM FILE BASE.INP. THE ROUTINE FILTERS A SEQUENCE OF K0-ELEMENT EVENTS OF BLOCK-SIZE 1. THE PROGRAM IS AUTOMATICALLY TERMINATED WHEN A SEQUENCE OF EVENTS IS GENERATED WHICH QUALIFIES AS A HIGH-PROBABILITY SEQUENCE. THE ROUTINE FLAGS THE ELEMENTS OF A DESIRED RANGE OF STAR EVENTS AS THEY OCCUR AMONG THE ELEMENTS OF EACH TEST EVENT. MOREOVER, OUTPUT TEST EVENTS ARE PRINTED IN THE FILE STAT94.INP FOR FUTURE USE BY OTHER ROUTINES. MOREOVER, THE NUMBER AND PERCENTAGE OF 0's , 1's, 2's, 3's, 4's, ... , K0's ARE COMPUTED AS DETERMINED CARDINALITIES OF INTERSECTION NUMBERS BETWEEN TEST EVENTS AND EACH EVENT IN THE RANGE OF SELECTED STAR EVENTS. A CONFIGURATION MATRIX IS GENERATED WHICH INDICATES THE ELEMENTS IN COMMON BETWEEN TEST EVENT AND THE DESIRED RANGE OF SUCCESSIVE STAR EVENTS. THE ROUTINE ALSO PREDICTS THE NEXT SUCCESSFUL INTERSECTION INDEX BETWEEN A STAR EVENT AND THE GENERATED TEST EVENT. THE ROUTINE STAT3956 FILTERS TEST EVENTS FROM STAT3956.INP INTO STAT3956.OUT AND STAT94.INP. INPUT EVENTS FROM STAT3956.INP ARE ACCEPTED AS [*]-QUALIFIED iff Property 1 : TMAX IN THE INTERVAL [ T1,T2 ] AND | TMAX | .GE. KCT, WHERE 1/KCT IS THE OCCURRENCE CADENCE OVER ALL STAR EVENTS. STAT3956 IS A VARIANT OF STAT1618 STREAMLINING OUTPUT UNT/L AN EXHAUSTIVE SEARCH OVER STAT3956.INP IS COMPLETED FOR QUALIFYING K0-ELEMENT EVENTS OF A DESIRED OR SELECTED BLOCK-SIZE. STAR INDICES ARE USED IN SELECTING QUALIFYING TEST EVENTS. CF. STAT1506 (AN EMBELLISHMENT OF STAT1323) FOR A VERSION OF STAT3956 WHICH GENERATES BLOCKS OF INPUT EVENTS RANDOMLY. STAT3956 USES A SEQUENCE OF CONSECUTIVE INDICES VS. DELTA TO GENERATE THE SPECTRUM OF EVENTS WHOSE VALUES OF DELTA MATCH THE GIVEN SEQUENCE OF INDICES WITHIN A DESIRED INTERVAL, WHERE DELTA = IMAX - ( H(II)+MOD(H(II),KCT) ). CF STAT1504. CF. STAT1619, WHICH IS THE PERMUTATION VERSION OF STAT3956. CF. ALSO STAT2383. A TRANSLATED FILE OF [*]-QUALIFYING EVENTS IS RECORDED IN CUMULAT.OUT. CF. ALSO STAT1654. [*]-QUALIFYING BLOCKS ARE RANKED IN DESCENDING ORDER OF GEOPROD FOR EACH VALUE OF TMAX, WHERE NTMAX = TMAX - KCT. CF. ALSO STAT1631. ( GEOM PROBABILITY PDF HYBRID OF STAT3955, STAT3910 AND STAT1618 ) ( ANALYZING DISPLACEMENTS [ H(II+1) - H(II) ] VS. [IMAX+1 - H(II)]) CF. ALSO STAT3911. ========================================================================= -- L 3957 -- ( PREDICTING FUTURE INTERSECTIONS FOR A CYCLIC BLOCK OF ALL POSSIBLE K0-ELEMENT EVENTS GENERATED FROM A FIXED F0-ELEMENT PERMUTATION ) XXXXXXI ( TEST EVENT VARIANT OF STAT3945 FOR K0-ELEMENT QUALIFYING EVENTS VIA A GEOMETRIC PROBABILITY PDF ) ( GEOMETRIC PROBABILITY PDF HYBRID OF STAT3945 AND STAT1618 ) STAT3957 READS A LARGE SEQUENCE OF KO-ELEMENT EVENTS FROM THE FILE STAT3957.INP, A SEQUENCE OF FMAX K0-ELEMENT TRANSLATION VECTORS FROM ST0T3957.IN2, AND A SEQUENCE OF IMAX K0-ELEMENT STAR EVENTS FROM BASE.INP. THE ROUTINE INTERSECTS EACH K0-ELEMENT EVENT FROM STAT3957.INP WITH EACH EVENT IN A SEQUENCE OF STAR EVENTS IN BASE.INP, FILTERING A SEQUENCE OF K0-ELEMENT EVENTS OF BLOCK-SIZE B. THE PROGRAM IS AUTOMATICALLY TERMINATED WHEN A SEQUENCE OF EVENTS IS GENERATED WHICH QUALIFIES AS A HIGH-PROBABILITY SEQUENCE. THE ROUTINE FLAGS THE ELEMENTS OF A DESIRED RANGE OF STAR EVENTS AS THEY OCCUR AMONG THE ELEMENTS OF EACH TEST EVENT. MOREOVER, OUTPUT TEST EVENTS ARE PRINTED IN THE FILE STAT94.INP FOR FUTURE USE BY OTHER ROUTINES. MOREOVER, THE NUMBER AND PERCENTAGE OF 0's , 1's, 2's, 3's, 4's, ... , K0's ARE COMPUTED AS DETERMINED CARDINALITIES OF INTERSECTION NUMBERS BETWEEN TEST EVENTS AND EACH EVENT IN THE RANGE OF SELECTED STAR EVENTS. A CONFIGURATION MATRIX IS GENERATED WHICH INDICATES THE ELEMENTS IN COMMON BETWEEN TEST EVENT AND THE DESIRED RANGE OF SUCCESSIVE STAR EVENTS. THE ROUTINE ALSO PREDICTS THE NEXT SUCCESSFUL INTERSECTION INDEX BETWEEN A STAR EVENT AND THE GENERATED TEST EVENT. THE ROUTINE STAT3957 FILTERS TEST EVENTS FROM PERM.INP INTO STAT3957.OUT AND STAT94.INP. INPUT EVENTS FROM PERM.INP ARE ACCEPTED AS [*]-QUALIFIED iff Property 1 : TMAX IN THE INTERVAL [ T1,T2 ] AND | TMAX | .GE. KCT, WHERE 1/KCT IS THE OCCURRENCE CADENCE OVER ALL STAR EVENTS. STAT3957 IS A VARIANT OF STAT13576 STREAMLINING OUTPUT UNTIL AN EXHAUSTIVE SEARCH OVER PERM.INP IS COMPLETED FOR QUALIFYING K0-ELEMENT EVENTS OF A DESIRED OR SELECTED BLOCK-SIZE. STAR INDICES ARE USED IN SELECTING QUALIFYING TEST EVENTS. CF. STAT1506 (AN EMBELLISHMENT OF STAT1323) FOR A VERSION OF STAT3957 WHICH GENERATES BLOCKS OF INPUT EVENTS RANDOMLY. STAT3957 USES A SEQUENCE OF CONSECUTIVE INDICES VS. DELTA TO GENERATE THE SPECTRUM OF EVENTS WHOSE VALUES OF DELTA MATCH THE GIVEN SEQUENCE OF INDICES WITHIN A DESIRED INTERVAL, WHERE DELTA = IMAX - ( H(II)+MOD(H(II),KCT) ). CF STAT1504. CF. STAT1619, WHICH IS THE PERMUTATION VERSION OF STAT3957. CF. ALSO STAT2383. CF. ALSO STAT1654. [*]-QUALIFYING BLOCKS ARE RANKED IN DESCENDING ORDER OF PROBABILITY FOR EACH VALUE OF TMAX, WHERE NTMAX = TMAX - KCT. CF. ALSO STAT1631. EVENTS ARE RANKED IN DESCENDING ORDER OF PROBABILITY OF OCCURRENCE ON THE NEXT TRIAL VIA A GEOMETRIC PROBABILITY PDF. CF. STAT1618 AND STAT3576. CF. STAT3905 AND STAT1618. CF. ALSO STAT3909 FOR THE CASE: K0 = 5. A CUMULATIVE FILE OF GENERATED [*]-QUALIFYING TEST EVENTS IS RECORDED IN CUMULAT.OUT. CF. ALSO STAT3945. ========================================================================= -- L 3958 -- MONITOR MATRIX GENERATOR XXXXX FREQUENCY COUNTS FOR ELEMENTS IN A LARGE SEQUENCE OF V1-ELEMENT PERMUTATIONS ( K0-COLUMNS PERMUTATION VERSION OF STAT3640, STAT3723 AND STAT3641 ) ( PERMUTATION VERSION OF STAT3641 , STAT3642, AND STAT3647 ) (VARIANT OF STAT3639, STAT3638, STAT3419, STAT3469, STAT3487, STAT3491) ( PRODUCTS OF WEIGHTS OF ELEMENTS PER K0-ELEMENT TEST EVENT ) ( UTILIZING PRE-DETERMINED GEOMETRIC, NEGATIVE BINOMIAL, OR POISSON PROBABILITY DISTRIBUTION TO DETERMINE PROBABILITIES ) STAT3958 READS AN L0-ELEMENT SEQUENCE OF PROBABILITIES/WEIGHTS OF ELEMENTS IN WT(L).INP ON < 1, 2, ... , L0 >, GENERATED VIA STAT3250, READS A V0-ELEMENT PERMUTATION FROM PERM.INP ON THE ELEMENTS IN PERM.INP, DETERMINES ALL [ V0 CHOOSE K0 ] K0-ELEMENT TEST EVENTS, AND RANKS THE EVENTS IN DESCENDING ORDER OF PRODUCTS OF WEIGHTS OF ELEMENTS OVER EACH OF THE COLUMNS < 1, 2, ... , K0>. STAT3958 IS A VARIANT OF STAT3641 AND STAT3642 AND STAT3247, ANALYZING K0-ELEMENT SUBSTRINGS FROM PERM.INP, RATHER THAN K0-ELEMENT TEST EVENTS FROM STAT3958.INP. A PRODUCT OF ELEMENT PROBABILITIES PER EVENT, WITHIN THE RANGE [ S1,S2 ] , IS SELECTED IN REAL-TIME BY THE ANALYST. ========================================================================= -- L 3959 -- ( DETERMINING THE EXPECTED MEAN VALUE OF A SEQUENCE OF PAIRS OF VALUES AND THEIR CORRESPONDING PROBABILITIES OR ODDS IN FAVOR ) STAT3959 READS A SEQUENCE OF PAIRS < A(I),B(I) > FROM STAT3959.INP, WHERE THE VALUE A(I) HAS CORRESPONDING IODDS-IN-FAVOR = 1.0 / B(I), AND CONPUTES THE EXPECTED MEAN VALUE IS TACITLY DETERMINED AS EMV = SUM [ A(I) * ( 1.0/B(I) ] , FOR I = 1 , ... , IMAX. THE RESULT IS RECORD IN STAT3959.OUT FOR FURTHER APPLICATION OR ANALYSIS. A SELECTED UPPER BOUND FOR IMAX IS 1000. ========================================================================= -- L 3960 -- ( MODIFYING A ( BMAX x K0 ) - DIMENSIONAL BLOCK OF EVENTS BY A ( CMAX x K0 ) - DIMENSIONAL BLOCK OF TENS DIGIT INCREMENTS AND AND A ( CMAX x K0 ) - DIMENSIONAL BLOCK OF UNITS DIGIT INCREMENTS ) STAT3960 READS A ( BMAX x K0 ) - DEMENSIONAL BLOCK OF EVENTS FROM STAT3960.INP, A ( CMAX x K0 ) - DIMENSIONAL BLOCK OF TENS DIGIT INCREMENTS FROM TENS.INP, AND A ( CMAX x K) ) - DIMENSIONAL BLOCK OF UNITS DIGIT INCREMENTS FROM UNITS.INP. THE INCREMENTAL BLOCKS A UTILIZED TO MODIFIY THE BLOCK OF EVENTS IN STAT3960.INP FOR FURTHER ANALYSIS. ========================================================================= -- L 3961 -- ( SELECTING FOUR CONTIGUOUS, NON-OVERLAPPING, SUB-PERMUTATIONS FROM A FIXED PERMUTATION OF SIZE L0 ) STAT3961 READS A FIXED Q0-DIMENSIONAL PERMUTATION FROM PERM.INP, PREVIOUSLY GENERATED AS PERM.OUT IN STAT3246 , AND READS FOUR CONTIGUOUS, NON-OVERLAPPING, INDEX RANGES [ N1,N2 ] , [ N3,N4 ] , [ N5,N6 ] , [ N7,N8 ] , FROM STAT3961.INP, TO DETERMINE A NEW CONTIGUOUS NON-OVERLAPPING SUB-PERMUTATION, RECORDING IT AS PERM.OUT FOR FURTHER ANALYSIS IN STAT3121 AS PERM.INP, FOR AN ESOTERIC UTILITY. ========================================================================= -- L 3962 -- MONITOR MATRIX GENERATOR XXXXX FREQUENCY COUNTS FOR ELEMENTS IN A LARGE SEQUENCE OF K0-ELEMENT EVENTS ( VARIANT OF STAT3843 ) ( HYBRID OF STAT2343 AND STAT3663 ) ( CASE: K0 = 6 ) READS 2 F(J)-ELEMENT PERMUTATIONS FROM PERM.INP AND GENERATES A COMPLETE SET OF F(1)*F(2) K0-ELEMENT EVENTS. STAT3962 THEN COMPARES EACH GENERATED K0-ELEMENT EVENT WITH A FINITE BASE SET OF STAR EVENTS, DETERMINES THE NUMBER OF ELEMENTS IN EACH EVENT PER 1-EVENT BLOCK IN VS. THE BASE SET, DETERMINES THE RELATIVE FREQUENCIES AND SUM OF RELATIVE FREQUENCIES OF COMMON ELEMENTS FOR COMPARISON, AND GENERATES A MONITOR MATRIX REFLECTING THE PATTERNS OF MATCHES FROM THE ABOVE SEQUENCE OF BASE SETS. STAT3962 IS A VARIANT STAT1030 AND STAT3149, ANALYZING K0-ELEMENT TEST EVENTS RATHER THAN PERMUTATIONS, WITH EVENTS FILTERED FROM SUB-BLOCKS OF SIZE 1. IF THE EXPECTED FREQUENCY CADENCE = 1/K, THEN STAT3962 TACITLY EXAMINES THE LAST K FREQUENCY COUNTS, INSTEAD OF THE LAST JMAX FREQUENCY COUNTS, WHEN SELECTING [*]-QUALIFYING EVENTS TO BE FILTERED, WHERE K IS A DETERMINED FREQUENCY CADENCE FOR 1 / K EVENTS. CF. STAT1031 AND STAT1036 FOR PERMUTATION REPLICAS. STAT3962 READS SUB-BLOCKS OF INPUT TEST EVENTS FROM STAT3962.INP AND UP TO 400 INPUT STAR EVENTS FROM BASE.INP. [*]-QUALIFYING EVENTS ARE FILTERED AND RECORDED IN STAT94.INP, RANKED IN DESCENDING OR ASCENDING ORDER OF INDEX DISPLACEMENT, IDELTA = # Trailing Zeros. STAT3962 IS THE TEST EVENT VERSION OF STAT2349. CF. STAT2349 FOR THE PERMUTATION VERSION. CF. ALSO STAT2514, STAT2604 , STAT2606, AND STAT3149. THE FILE PERM.INP IS TACITYLY GENERATED FOR STAT3573. A CUMULATIVE FILE OF TEST EVENTS IS GENERATED AND RECORDED IN CUMULAT.OUT. CF. STAT3610. CF. STAT3853 FOR THE CASE: K0 = 5. THE # OF ELEMENTS PER EVENT SELECTED FROM SUB-PERMUTATION 1 <==> 3. THE # OF ELEMENTS PER EVENT SELECTED FROM SUB-PERMUTATION 2 <==> 2. THE # OF ELEMENTS PER EVENT SELECTED FROM SUB-PERMUTATION 3 <==> 1. ========================================================================= -- L 3963 -- MONITOR MATRIX GENERATOR XXIX FREQUENCY COUNTS FOR A SEQUENCE OF ELEMENTS < 1 , 2, ... , L0 > VS. A SEQUENCE OF STAR EVENTS ( FREQUENCY DISTRIBUTION VARIANT OF STAT3246 ) ( PROBABILITY THAT ELEMENT L OCCURS IN THE NEXT STAR EVENT VIA A FREQUENCY PROBABILITY DISTRIBUTION ) READS A SEQUENCE OF IMAX STAR EVENTS ON THE ELEMENTS ON THE ELEMENTS IN T = < 1, 2, ... , L0 > DETERMINES A (0,1) - OCCURRENCE MATRIX FOR EACH OF THE L0 ELEMENTS OF THE SET T, THE RELATIVE FREQUENCY OF EACH ELEMENT IN T, AND DETERMINES A PROJECTED SEQUENCE OF TRANSLATION VECTORS IN PERM.INP, WHICH ARE HIGHLY LIKELY TO OCCUR IN THE NEXT K0-ELEMENT STAR EVENT OF BASE.INP. STAT3963 IS A VARIANT OF STAT3476 AND STAT3532. THE ROUTINE RANKS STAR ELEMENTS, BUT FILTERS STAR ELEMENTS, BASED UPON WHETHER OR NOT THE NUMBER OF 0'S SUCCEEDING THE LAST 1 IN THE STAR EVENT INTERSECTION OCCURRENCE SEQUENCE EXCEEDS A DETERMINED THRESHOLD VALUE, M0, BASED UPON STAR EVENT INDEXES. STAT3963 READS UP TO 100 STAR EVENTS IN BASE.INP AND ANALYZES ELEMENTS IN THE RANGE < 1, ... , L0 >, WHERE THE MAXIMUM VALUE OF L0 IS 54. CF. ALSO STAT893, STAT894, STAT899, AND STAT933. VS. THE BASE SET OF STAR EVENTS, BUT FILTERING STAR ELEMENTS, BASED UPON WHETHER OR NOT THE INDEX OF STAR EVENT (IMAX+1-M0) IS CONGRUENT TO 0 (MOD KCT), WHERE M0 IS THE STAR INDEX OF THE FIRST OCCURRING ELEMENT 1 IN THE (0,1) - OCCURRENCE MATRIX AND KCT IS THE NUMBER OF ELAPSED EVENTS PER OCCURRENCE OF A 1 IN THE (0,1) - OCCURRENCE MATRIX FOR EACH OF THE L0 STAR ELEMENTS. M1 IS THE DESIRED THRESHOLD VALUE FOR INDEXES: M1 (MOD KCT). STAT3963 READS UP TO 100 STAR EVENTS IN BASE.INP AND ANALYZES ELEMENTS IN THE RANGE < 1, ... , L0 >, WHERE THE MAXIMUM VALUE OF L0 IS 54. CF. ALSO STAT893, STAT894, STAT899, AND STAT933. STAT3963 IS A VARIANT OF STAT934, BUT UTILIZES A DIFFERENT ALGORITHMIC TECHNIQUE FOR DETERMINING HIGH-PROBABILITY ELEMENTS. SIGNIFICANTLY, STAT3963 GENERATES PERM.OUT AND PERM2.OUT FOR PROCESSING AS PERM.INP IN STAT543, STAT3011, STAT3012, STAT3013, STAT3121. AND STAT3122. AN M0-ELEMENT PERMUTATION IS GENERATED INTO PERM7.OUT, CONSISTING OF THE HIGHEST RANKING ELEMENTS BY WEIGHT, D(L), OVER THE LAST Q0 K0-ELEMENT STAR EVENTS IN BASE.INP, WHERE D(L) = 1000 * PROBABILITY THAT ELEMENT L WILL OCCUR IN EVENT IMAX+1, IMMEDIATELY SUCCEEDING THE FINAL STAR EVENT. THE SUBSET OF M0 UNIQUE ELEMENTS IS DETERMINED FROM THE LAST Q0 STAR EVENTS SELECTED IN REAL-TIME BY THE ANALYST AND RANED VIA WEIGHTS, , WITH FORMAT: [ I2,' ).',2X,I4,2X,I4,44X,F12.6 ] FOR FURTHER ANALYSIS. AN (IMAX x K0)-DIMENSIONAL MATRIX OF OF INCREMENTS BETWEEN ADJACENT OR SUCCESSIVE PAIRS OF TENS DIGITS FOR ELEMENTS OVER THE LAST IMAX STAR EVENTS IS DETERMINED AND RECORDED IN STAT3963.OT3. MOREOVER, A SEQUENCE OF FREQUENCIES OF ELEMENTS , L = 1 , 2 , ... , L0 IS GENERATED AS AN OUTPUT FILE, PERM.INP FOR USAGE, E.G., IN STAT3121 OR STAT3798 AS PERM.INP. A COMPUTED SEQUENCE OF IMAX K0-ELEMENT MEAN DEVIATIONS OF SUCCESSIVE PAIRS OF ELEMENTS (OVER THE K0 COLUMNS OF STAR EVENTS IN BASE.INP) IS RECORDED AS STAT3683.INP FOR FURTHER ANALYSIS IN STAT3683. A 6-ELEMENT VECTOR OF COLUMN MEANS IS GENERATED AND RECORDED IN MEANS.OUT. STAT3963 ALSO GENERATES AND RECORDS DISPLACEMENTS FROM BASE.INP INTO STAT163. A SEQUENCE OF FREQUENCIES ( FREQ(L), L=1, ... , L0 ) IS RECORDED IN PERM.INP TO BE UTILIZED AS PERM.INP IN STAT3764. STAT3963 IS A VARIANT OF STAT3832, STAT3825 AND STAT3819. THE FILE RANK2(L).OUT IS GENERATED FOR STAT3841, UTILIZED AS PERM.INP. SALIENT PERMUTATIONS ARE GENERATED IN PERM.OUT AND PERM3.OUT. RECORDED IN STAT3963.OT3 IS THE NUMBER OF [1]"s PER ELEMENT VS. JMAX STAR EVENTS PAIRED WITH THE CORREESPONDING RELARIVE FREQUENCY PER ELEMENT OVER JMAX STAR EVENTS. RECORDED IN STAT3845.INP IS THE NUMBER OF RIGHT TRAILING ZEROS, NZ0, OF EACH ELEMENT VS. THE JMAX STAR EVENTS IN BASE.INP. A PERMUTATION OF Q0 [*]-QUALIFYING ELEMENTS IS RECORDED IN PERM4.OUT, WITH NZ0(L) .GE. NLOP. AND 1 / NLOP IS THE OCCRRENCE CADENCE FOR ELEMENT L, OVER JMAX STAR EVENTS. A SEQUENCE OF WEIGHTS, < WT2(L) > , IS RECORDED IN THE FILE WT2(L).OUT, WHERE WT2(L) = 1.0 / NZ0(L) FOR EACH L, L = 1, 2, 3, ... , L0. CF. STAT94.INP FOR 2 TACITLY SELECTED HIGH-PROBABILITY K0-ELEMENT EVENTS FROM PERM.OUT, CONSISTING OF THE TOP K0 RANKED ELEMENTS IN ONE EVENT AND THE K0 TOP RANKING ELEMENT IN EACH ONE OF THE TOP K0-ELEMENT GROUPS IN THE SECOND EVENT. THE TOP-RANKING ELEMENT VIA WT % IN EACH ONE OF K0 COLUMNS OF STAR EVENTS IS RECORDED IN CUMULAT.OUT. MOREOVER, THE TOP-RANKING ELEMENTS OVER THE UNION OF K0 COLUMNS OF BASE.INP ARE RECORDED AS A K0-ELEMENT EVENT IN TOP.INP. ========================================================================= -- L 3964 -- MONITOR MATRIX GENERATOR XXXXX FREQUENCY COUNTS FOR ELEMENTS IN A LARGE SEQUENCE OF V1-ELEMENT PERMUTATIONS ( FILTERING ELEMENTS FROM A FIXED PERMUTATION VIA PDF WEIGHTS ) ( VARIANT OF STAT3640 ) ( PERMUTATION VERSION OF STAT3723 AND STAT3641 ) ( PERMUTATION VERSION OF STAT3641 , STAT3642, AND STAT3647 ) (VARIANT OF STAT3641, STAT3638, STAT3419, STAT3469, STAT3487, STAT3491) ( UTILIZING PRE-DETERMINED GEOMETRIC, NEGATIVE BINOMIAL, OR POISSON PROBABILITY DISTRIBUTION TO DETERMINE PROBABILITIES ) STAT3964 READS AN L0-ELEMENT SEQUENCE OF PROBABILITIES/WEIGHTS OF ELEMENTS IN WT(L).INP ON < 1, 2, ... , L0 >, GENERATED VIA STAT3246, READS A V0-ELEMENT PERMUTATION FROM PERM.INP ON THE ELEMENTS IN PERM.INP, AND FILTERS ELEMENTS FROM PERM.INP BASED UPON A MINIMUM PDF WEIGHT SELECTED FROM WT(L).INP BY THE ANALYSIT. STAT3964 IS A VARIANT OF STAT3640, STAT3642 AND STAT3247, ANALYZING ALL ELEMENTS FROM PERM.INP. ========================================================================= -- L 3965 -- MONITOR MATRIX GENERATOR XXIV FREQUENCY COUNTS FOR A SEQUENCE OF ELEMENTS < 1 , 2, ... , L0 > VS. A SEQUENCE OF STAR EVENTS ( VARIANT OF STAT899 ) READS A SEQUENCE OF IMAX STAR EVENTS ON THE ELEMENTS ON THE ELEMENTS IN T = < 1, 2, ... , L0 > DETERMINES A (0,1) - OCCURRENCE MATRIX FOR EACH OF THE L0 ELEMENTS OF THE SET T, THE RELATIVE FREQUENCY OF EACH ELEMENT IN T, AND DETERMINES A PROJECTED SEQUENCE OF ELEMENTS FROM T IN PERM.OUT, WHICH ARE HIGHLY LIKELY TO OCCUR IN THE NEXT K0-ELEMENT STAR EVENT OF BASE.INP. STAT3965 IS A VARIANT OF STAT894, BUT ANALYZES EACH FIXED ELEMENT OF T, RATHER THAN INTERSECTIONS OF K0-ELEMENT EVENTS VS. THE BASE SET OF STAR EVENTS. STAT3965 READS UP TO 100 STAR EVENTS IN STAT3965.INP, PRE-GENERATED VIA STAT2135 AS STAT3965.INP, AND ANALYZES ELEMENTS IN THE RANGE < 1, ... , L0 >, WHERE THE MAXIMUM VALUE OF L0 IS 70. CF. STAT893, STAT894 AND STAT2761. ========================================================================= -- L 3966 -- MONITOR MATRIX GENERATOR XXIV FREQUENCY COUNTS FOR A SEQUENCE OF ELEMENTS < 1 , 2, ... , L0 > VS. A SEQUENCE OF STAR EVENTS ( FULL KO-COLUMN VARIANT OF STAT899 ) READS A SEQUENCE OF IMAX STAR EVENTS ON THE ELEMENTS ON THE ELEMENTS IN T = < 1, 2, ... , L0 > DETERMINES A (0,1) - OCCURRENCE MATRIX FOR EACH OF THE L0 ELEMENTS OF THE SET T, THE RELATIVE FREQUENCY OF EACH ELEMENT IN T, AND DETERMINES A PROJECTED SEQUENCE OF ELEMENTS FROM T IN PERM.OUT, WHICH ARE HIGHLY LIKELY TO OCCUR IN THE NEXT K0-ELEMENT STAR EVENT OF BASE.INP. STAT899 IS A VARIANT OF STAT894, BUT ANALYZES EACH FIXED ELEMENT OF T, RATHER THAN INTERSECTIONS OF K0-ELEMENT EVENTS VS. THE BASE SET OF STAR EVENTS. STAT899 READS UP TO 100 STAR EVENTS IN BASE.INP AND ANALYZES ELEMENTS IN THE RANGE < 1, ... , L0 >, WHERE THE MAXIMUM VALUE OF L0 IS 70. CF. STAT893, STAT894 AND STAT2761. ========================================================================= -- L 3967 -- MONITOR MATRIX GENERATOR XXXXX FREQUENCY COUNTS FOR ELEMENTS IN A LARGE SEQUENCE OF K0-ELEMENT EVENTS ( PERMUTATION VARIANT OF THE K0-ELEMENT EVENT VERSION [ STAT2343 ] ) ( VARIANT OF THE K0-ELEMENT EVENT VERSION [ STAT3968 ] ) / / II / / ( CASE : K0 = 5 ) / / READS A V0-ELEMENT PERMUTATION FROM PERM.INP ON THE ELEMENTS IN PERM.INP, DETERMINES ALL [ V0 CHOOSE K0 ] K0-ELEMENT TEST EVENTS, AND RANKS THE EVENTS IN DESCENDING ORDER OF EMK , WHERE EMK IS THE NUMBER OF OVERDUE STAR EVENTS SINCE A SUCCESS FOR A GIVEN EVENT. STAT3967 COMPARES A LARGE SET OF K0-ELEMENT BLOCKS WITH A BASE SET OF ELEMENTS, DETERMINES THE NUMBER OF ELEMENTS IN EACH EVENT PER 1-EVENT BLOCK IN VS. THE BASE SET, DETERMINES THE RELATIVE FREQUENCIES AND SUM OF RELATIVE FREQUENCIES OF COMMON ELEMENTS FOR COMPARISON, AND GENERATES A MONITOR MATRIX REFLECTING THE PATTERNS OF MATCHES FROM THE ABOVE SEQUENCE OF BASE SETS. STAT3967 IS A VARIANT STAT1030 AND STAT3149, ANALYZING K0-ELEMENT TEST EVENTS RATHER THAN PERMUTATIONS, WITH EVENTS FILTERED FROM SUB-BLOCKS OF SIZE 1. IF THE EXPECTED FREQUENCY CADENCE = 1/K, THEN STAT3967 TACITLY EXAMINES THE LAST K FREQUENCY COUNTS, INSTEAD OF THE LAST JMAX FREQUENCY COUNTS, WHEN SELECTING [*]-QUALIFYING EVENTS TO BE FILTERED, WHERE K IS A DETERMINED FREQUENCY CADENCE FOR 1 / K EVENTS. CF. STAT1031 AND STAT1036 FOR PERMUTATION REPLICAS. STAT3967 READS SUB-BLOCKS OF INPUT TEST EVENTS FROM STAT3967.INP AND UP TO 400 INPUT STAR EVENTS FROM BASE.INP. [*]-QUALIFYING EVENTS ARE FILTERED AND RECORDED IN STAT94.INP, RANKED IN DESCENDING OR ASCENDING ORDER OF GEOPROB, THE CUMULATIVE PROBABILITY THAT EVENT E WILL OCCUR AT LEAST ONCE WITHIN THE NEXT NZ0 TRIALS, WHERE NZ0P1 = NZ0 + 1 AND NZ0 IS THE NUMBER OF RIGHT TRAILING [0]"s IN THE BINARY BLUEPRINT FOR EVENT E VS. IMAX STAR EVENTS IN BASE.INP. STAT3967 IS THE TEST EVENT VERSION OF STAT2349. CF. STAT2349 FOR THE PERMUTATION VERSION. CF. ALSO STAT2514, STAT2604 , STAT2606, AND STAT3149. THE FILE PERM.INP IS TACITYLY GENERATED FOR STAT3573. A CUMULATIVE FILE OF TEST EVENTS IS GENERATED AND RECORDED IN CUMULAT.OUT. CF. ALSO STAT3723, STAT3826, AND STAT3610. A FILE CONSISTING OF NZ0P1 AND PP IS GENERATED FOR EACH [*]-QUALIFYING EVNET AND RECORDED IN STAT3845.INP FOR FURTHER ANALYSIS. STAT3967 IS A PERMUTATION VARIANT OF THE K0-ELEMENT EVENT VERSION ( STAT2343 ). ========================================================================= -- L 3968 -- MONITOR MATRIX GENERATOR XXXXX FREQUENCY COUNTS FOR ELEMENTS IN A LARGE SEQUENCE OF K0-ELEMENT EVENTS ( PERMUTATION VARIANT OF THE K0-ELEMENT EVENT VERSION [ STAT2343 ] ) ( VARIANT OF THE K0-ELEMENT EVENT VERSION [ STAT3967 ] ) / / III / / ( CASE : K0 = 6 ) / / READS A V0-ELEMENT PERMUTATION FROM PERM.INP ON THE ELEMENTS IN PERM.INP, DETERMINES ALL [ V0 CHOOSE K0 ] K0-ELEMENT TEST EVENTS, AND RANKS THE EVENTS IN DESCENDING ORDER OF EMK , WHERE EMK IS THE NUMBER OF OVERDUE STAR EVENTS SINCE A SUCCESS FOR A GIVEN EVENT. STAT3968 COMPARES A LARGE SET OF K0-ELEMENT BLOCKS WITH A BASE SET OF ELEMENTS, DETERMINES THE NUMBER OF ELEMENTS IN EACH EVENT PER 1-EVENT BLOCK IN VS. THE BASE SET, DETERMINES THE RELATIVE FREQUENCIES AND SUM OF RELATIVE FREQUENCIES OF COMMON ELEMENTS FOR COMPARISON, AND GENERATES A MONITOR MATRIX REFLECTING THE PATTERNS OF MATCHES FROM THE ABOVE SEQUENCE OF BASE SETS. STAT3968 IS A VARIANT STAT1030 AND STAT3149, ANALYZING K0-ELEMENT TEST EVENTS RATHER THAN PERMUTATIONS, WITH EVENTS FILTERED FROM SUB-BLOCKS OF SIZE 1. IF THE EXPECTED FREQUENCY CADENCE = 1/K, THEN STAT3968 TACITLY EXAMINES THE LAST K FREQUENCY COUNTS, INSTEAD OF THE LAST JMAX FREQUENCY COUNTS, WHEN SELECTING [*]-QUALIFYING EVENTS TO BE FILTERED, WHERE K IS A DETERMINED FREQUENCY CADENCE FOR 1 / K EVENTS. CF. STAT1031 AND STAT1036 FOR PERMUTATION REPLICAS. STAT3968 READS SUB-BLOCKS OF INPUT TEST EVENTS FROM STAT3968.INP AND UP TO 400 INPUT STAR EVENTS FROM BASE.INP. [*]-QUALIFYING EVENTS ARE FILTERED AND RECORDED IN STAT94.INP, RANKED IN DESCENDING OR ASCENDING ORDER OF GEOPROB, THE CUMULATIVE PROBABILITY THAT EVENT E WILL OCCUR AT LEAST ONCE WITHIN THE NEXT NZ0 TRIALS, WHERE NZ0P1 = NZ0 + 1 AND NZ0 IS THE NUMBER OF RIGHT TRAILING [0]"s IN THE BINARY BLUEPRINT FOR EVENT E VS. IMAX STAR EVENTS IN BASE.INP. STAT3968 IS THE TEST EVENT VERSION OF STAT2349. CF. STAT2349 FOR THE PERMUTATION VERSION. CF. ALSO STAT2514, STAT2604 , STAT2606, AND STAT3149. THE FILE PERM.INP IS TACITYLY GENERATED FOR STAT3573. A CUMULATIVE FILE OF TEST EVENTS IS GENERATED AND RECORDED IN CUMULAT.OUT. CF. ALSO STAT3723, STAT3826, AND STAT3610. A FILE CONSISTING OF NZ0P1 AND PP IS GENERATED FOR EACH [*]-QUALIFYING EVNET AND RECORDED IN STAT3845.INP FOR FURTHER ANALYSIS. STAT3968 IS A PERMUTATION VARIANT OF THE K0-ELEMENT EVENT VERSION ( STAT2343 ) ). ========================================================================= -- L 3969 -- MONITOR MATRIX GENERATOR XXIX FREQUENCY COUNTS FOR A SEQUENCE OF ELEMENTS < 1 , 2, ... , L0 > VS. A SEQUENCE OF STAR EVENTS ( FREQUENCY PDF VERSION AND VARIANT OF STAT3246 ) ( VARIANT OF STAT3946, STAT3832, STAT3825 AND STAT3819 ) ( PROBABILITY THAT ELEMENT L OCCURS IN THE NEXT STAR EVENT VIA A GEOMETRIC PROBABILITY DISTRIBUTION ) READS A SEQUENCE OF IMAX STAR EVENTS ON THE ELEMENTS ON THE ELEMENTS IN T = < 1, 2, ... , L0 > DETERMINES A (0,1) - OCCURRENCE MATRIX FOR EACH OF THE L0 ELEMENTS OF THE SET T, THE RELATIVE FREQUENCY OF EACH ELEMENT IN T, AND DETERMINES A PROJECTED SEQUENCE OF TRANSLATION VECTORS IN PERM.INP, WHICH ARE HIGHLY LIKELY TO OCCUR IN THE NEXT K0-ELEMENT STAR EVENT OF BASE.INP. STAT3246 IS A VARIANT OF STAT3476 AND STAT3532. THE ROUTINE RANKS STAR ELEMENTS, BUT FILTERS STAR ELEMENTS, BASED UPON WHETHER OR NOT THE NUMBER OF 0'S SUCCEEDING THE LAST 1 IN THE STAR EVENT INTERSECTION OCCURRENCE SEQUENCE EXCEEDS A DETERMINED THRESHOLD VALUE, M0, BASED UPON STAR EVENT INDEXES. STAT3246 READS UP TO 100 STAR EVENTS IN BASE.INP AND ANALYZES ELEMENTS IN THE RANGE < 1, ... , L0 >, WHERE THE MAXIMUM VALUE OF L0 IS 54. CF. ALSO STAT893, STAT894, STAT899, AND STAT933. VS. THE BASE SET OF STAR EVENTS, BUT FILTERING STAR ELEMENTS, BASED UPON WHETHER OR NOT THE INDEX OF STAR EVENT (IMAX+1-M0) IS CONGRUENT TO 0 (MOD KCT), WHERE M0 IS THE STAR INDEX OF THE FIRST OCCURRING ELEMENT 1 IN THE (0,1) - OCCURRENCE MATRIX AND KCT IS THE NUMBER OF ELAPSED EVENTS PER OCCURRENCE OF A 1 IN THE (0,1) - OCCURRENCE MATRIX FOR EACH OF THE L0 STAR ELEMENTS. M1 IS THE DESIRED THRESHOLD VALUE FOR INDEXES: M1 (MOD KCT). STAT3246 READS UP TO 100 STAR EVENTS IN BASE.INP AND ANALYZES ELEMENTS IN THE RANGE < 1, ... , L0 >, WHERE THE MAXIMUM VALUE OF L0 IS 54. CF. ALSO STAT893, STAT894, STAT899, AND STAT933. STAT3246 IS A VARIANT OF STAT934, BUT UTILIZES A DIFFERENT ALGORITHMIC TECHNIQUE FOR DETERMINING HIGH-PROBABILITY ELEMENTS. SIGNIFICANTLY, STAT3246 GENERATES PERM.OUT AND PERM2.OUT FOR PROCESSING AS PERM.INP IN STAT543, STAT3011, STAT3012, STAT3013, STAT3121. AND STAT3122. AN M0-ELEMENT PERMUTATION IS GENERATED INTO PERM7.OUT, CONSISTING OF THE HIGHEST RANKING ELEMENTS BY WEIGHT, D(L), OVER THE LAST Q0 K0-ELEMENT STAR EVENTS IN BASE.INP, WHERE D(L) = 1000 * PROBABILITY THAT ELEMENT L WILL OCCUR IN EVENT IMAX+1, IMMEDIATELY SUCCEEDING THE FINAL STAR EVENT. THE SUBSET OF M0 UNIQUE ELEMENTS IS DETERMINED FROM THE LAST Q0 STAR EVENTS SELECTED IN REAL-TIME BY THE ANALYST AND RANED VIA WEIGHTS, , WITH FORMAT: [ I2,' ).',2X,I4,2X,I4,44X,F12.6 ] FOR FURTHER ANALYSIS. AN (IMAX x K0)-DIMENSIONAL MATRIX OF OF INCREMENTS BETWEEN ADJACENT OR SUCCESSIVE PAIRS OF TENS DIGITS FOR ELEMENTS OVER THE LAST IMAX STAR EVENTS IS DETERMINED AND RECORDED IN STAT3246.OT3. MOREOVER, A SEQUENCE OF FREQUENCIES OF ELEMENTS , L = 1 , 2 , ... , L0 IS GENERATED AS AN OUTPUT FILE, PERM.INP FOR USAGE, E.G., IN STAT3121 OR STAT3798 AS PERM.INP. A COMPUTED SEQUENCE OF IMAX K0-ELEMENT MEAN DEVIATIONS OF SUCCESSIVE PAIRS OF ELEMENTS (OVER THE K0 COLUMNS OF STAR EVENTS IN BASE.INP) IS RECORDED AS STAT3683.INP FOR FURTHER ANALYSIS IN STAT3683. A 6-ELEMENT VECTOR OF COLUMN MEANS IS GENERATED AND RECORDED IN MEANS.OUT. STAT3246 ALSO GENERATES AND RECORDS DISPLACEMENTS FROM BASE.INP INTO STAT163. A SEQUENCE OF FREQUENCIES ( FREQ(L), L=1, ... , L0 ) IS RECORDED IN PERM.INP TO BE UTILIZED AS PERM.INP IN STAT3764. STAT3246 IS A VARIANT OF STAT3832, STAT3825 AND STAT3819. THE FILE RANK2(L).OUT IS GENERATED FOR STAT3841, UTILIZED AS PERM.INP. SALIENT PERMUTATIONS ARE GENERATED IN PERM.OUT AND PERM3.OUT. RECORDED IN STAT3246.OT3 IS THE NUMBER OF [1]"s PER ELEMENT VS. JMAX STAR EVENTS PAIRED WITH THE CORREESPONDING RELARIVE FREQUENCY PER ELEMENT OVER JMAX STAR EVENTS. RECORDED IN STAT3845.INP IS THE NUMBER OF RIGHT TRAILING ZEROS, NZ0, OF EACH ELEMENT VS. THE JMAX STAR EVENTS IN BASE.INP. A PERMUTATION OF Q0 [*]-QUALIFYING ELEMENTS IS RECORDED IN PERM4.OUT, WITH NZ0(L) .GE. NLOP. AND 1 / NLOP IS THE OCCRRENCE CADENCE FOR ELEMENT L, OVER JMAX STAR EVENTS. A SEQUENCE OF WEIGHTS, < WT2(L) > , IS RECORDED IN THE FILE WT2(L).OUT, WHERE WT2(L) = 1.0 / NZ0(L) FOR EACH L, L = 1, 2, 3, ... , L0. CF. STAT94.INP FOR 2 TACITLY SELECTED HIGH-PROBABILITY K0-ELEMENT EVENTS FROM PERM.OUT, CONSISTING OF THE TOP K0 RANKED ELEMENTS IN ONE EVENT AND THE K0 TOP RANKING ELEMENT IN EACH ONE OF THE TOP K0-ELEMENT GROUPS IN THE SECOND EVENT. THE TOP-RANKING ELEMENT VIA WT % IN EACH ONE OF K0 COLUMNS OF STAR EVENTS IS RECORDED IN STAT201.INP. ========================================================================= -- L 3970 -- MONITOR MATRIX GENERATOR XXXXX FREQUENCY COUNTS FOR ELEMENTS IN A LARGE SEQUENCE OF K0-ELEMENT EVENTS ( PERMUTATION VARIANT OF THE K0-ELEMENT EVENT VERSION [ STAT2343 ] ) ( VARIANT OF THE K0-ELEMENT EVENT VERSION [ STAT3968 ] ) III ( CASE : K0 = 6 ) READS A V0-ELEMENT PERMUTATION FROM PERM.INP ON THE ELEMENTS IN PERM.INP, DETERMINES ALL [ V0 CHOOSE K0 ] K0-ELEMENT TEST EVENTS, AND RANKS THE EVENTS IN DESCENDING ORDER OF GEOMPr, THE GEOMETRIC PROBABILITY OF A SUCCESS FOR A GIVEN K0-ELEMENT EVENT VS. STAR EVENTS. STAT3970 COMPARES A LARGE SET OF K0-ELEMENT BLOCKS WITH A BASE SET OF ELEMENTS, DETERMINES THE NUMBER OF ELEMENTS IN EACH EVENT PER 1-EVENT BLOCK IN VS. THE BASE SET, DETERMINES THE RELATIVE FREQUENCIES AND SUM OF RELATIVE FREQUENCIES OF COMMON ELEMENTS FOR COMPARISON, AND GENERATES A MONITOR MATRIX REFLECTING THE PATTERNS OF MATCHES FROM THE ABOVE SEQUENCE OF BASE SETS. STAT3970 IS A VARIANT STAT1030 AND STAT3149, ANALYZING K0-ELEMENT TEST EVENTS RATHER THAN PERMUTATIONS, WITH EVENTS FILTERED FROM SUB-BLOCKS OF SIZE 1. IF THE EXPECTED FREQUENCY CADENCE = 1/K, THEN STAT3970 TACITLY EXAMINES THE LAST K FREQUENCY COUNTS, INSTEAD OF THE LAST JMAX FREQUENCY COUNTS, WHEN SELECTING [*]-QUALIFYING EVENTS TO BE FILTERED, WHERE K IS A DETERMINED FREQUENCY CADENCE FOR 1 / K EVENTS. CF. STAT1031 AND STAT1036 FOR PERMUTATION REPLICAS. STAT3970 READS SUB-BLOCKS OF INPUT TEST EVENTS FROM STAT3970.INP AND UP TO 400 INPUT STAR EVENTS FROM BASE.INP. [*]-QUALIFYING EVENTS ARE FILTERED AND RECORDED IN STAT94.INP, RANKED IN DESCENDING OR ASCENDING ORDER OF GEOPROB, THE CUMULATIVE PROBABILITY THAT EVENT E WILL OCCUR AT LEAST ONCE WITHIN THE NEXT NZ0 TRIALS, WHERE NZ0P1 = NZ0 + 1 AND NZ0 IS THE NUMBER OF RIGHT TRAILING [0]"s IN THE BINARY BLUEPRINT FOR EVENT E VS. IMAX STAR EVENTS IN BASE.INP. STAT3970 IS THE TEST EVENT VERSION OF STAT2349. CF. STAT2349 FOR THE PERMUTATION VERSION. CF. ALSO STAT2514, STAT2604 , STAT2606, AND STAT3149. THE FILE PERM.INP IS TACITYLY GENERATED FOR STAT3573. A CUMULATIVE FILE OF TEST EVENTS IS GENERATED AND RECORDED IN CUMULAT.OUT. CF. ALSO STAT3723, STAT3826, AND STAT3610. A FILE CONSISTING OF NZ0P1 AND PP IS GENERATED FOR EACH [*]-QUALIFYING EVNET AND RECORDED IN STAT3845.INP FOR FURTHER ANALYSIS. STAT3970 IS A PERMUTATION VARIANT OF THE K0-ELEMENT EVENT VERSION ( STAT2343 ) ). ========================================================================= -- L 3971 -- MONITOR MATRIX GENERATOR XXXXX FREQUENCY COUNTS FOR ELEMENTS IN A LARGE SEQUENCE OF K0-ELEMENT EVENTS ( PERMUTATION VARIANT OF THE K0-ELEMENT EVENT VERSION [ STAT2343 ] ) ( VARIANT OF THE K0-ELEMENT EVENT VERSION [ STAT3968 ] ) / / IV / / ( CASE : K0 = 5 ) / / READS A V0-ELEMENT PERMUTATION FROM PERM.INP ON THE ELEMENTS IN PERM.INP, DETERMINES ALL [ V0 CHOOSE K0 ] K0-ELEMENT TEST EVENTS, AND RANKS THE EVENTS IN DESCENDING ORDER OF GEOMPr, THE GEOMETRIC PROBABILITY OF A SUCCESS FOR A GIVEN K0-ELEMENT EVENT VS. STAR EVENTS. STAT3970 COMPARES A LARGE SET OF K0-ELEMENT BLOCKS WITH A BASE SET OF ELEMENTS, DETERMINES THE NUMBER OF ELEMENTS IN EACH EVENT PER 1-EVENT BLOCK IN VS. THE BASE SET, DETERMINES THE RELATIVE FREQUENCIES AND SUM OF RELATIVE FREQUENCIES OF COMMON ELEMENTS FOR COMPARISON, AND GENERATES A MONITOR MATRIX REFLECTING THE PATTERNS OF MATCHES FROM THE ABOVE SEQUENCE OF BASE SETS. STAT3971 IS A VARIANT STAT1030 AND STAT3149, ANALYZING K0-ELEMENT TEST EVENTS RATHER THAN PERMUTATIONS, WITH EVENTS FILTERED FROM SUB-BLOCKS OF SIZE 1. IF THE EXPECTED FREQUENCY CADENCE = 1/K, THEN STAT3971 TACITLY EXAMINES THE LAST K FREQUENCY COUNTS, INSTEAD OF THE LAST JMAX FREQUENCY COUNTS, WHEN SELECTING [*]-QUALIFYING EVENTS TO BE FILTERED, WHERE K IS A DETERMINED FREQUENCY CADENCE FOR 1 / K EVENTS. CF. STAT1031 AND STAT1036 FOR PERMUTATION REPLICAS. STAT3971 READS SUB-BLOCKS OF INPUT TEST EVENTS FROM STAT3971.INP AND UP TO 400 INPUT STAR EVENTS FROM BASE.INP. [*]-QUALIFYING EVENTS ARE FILTERED AND RECORDED IN STAT94.INP, RANKED IN DESCENDING OR ASCENDING ORDER OF GEOPROB, THE CUMULATIVE PROBABILITY THAT EVENT E WILL OCCUR AT LEAST ONCE WITHIN THE NEXT NZ0 TRIALS, WHERE NZ0P1 = NZ0 + 1 AND NZ0 IS THE NUMBER OF RIGHT TRAILING [0]"s IN THE BINARY BLUEPRINT FOR EVENT E VS. IMAX STAR EVENTS IN BASE.INP. STAT3971 IS THE TEST EVENT VERSION OF STAT2349. CF. STAT2349 FOR THE PERMUTATION VERSION. CF. ALSO STAT2514, STAT2604 , STAT2606, AND STAT3149. THE FILE PERM.INP IS TACITYLY GENERATED FOR STAT3573. A CUMULATIVE FILE OF TEST EVENTS IS GENERATED AND RECORDED IN CUMULAT.OUT. CF. ALSO STAT3723, STAT3826, AND STAT3610. A FILE CONSISTING OF NZ0P1 AND PP IS GENERATED FOR EACH [*]-QUALIFYING EVNET AND RECORDED IN STAT3845.INP FOR FURTHER ANALYSIS. STAT3971 IS A PERMUTATION VARIANT OF THE K0-ELEMENT EVENT VERSION ( STAT2343 ) , WITH K0 = 5 , INSTEAD OF K0 = 6 ). ========================================================================= -- L 3972 -- ( RE-ARRANGING OR ORDERING THE ELEMENTS OF EACH PERMUTATION OF SIZE Q0 FROM A FIXED BLOCK OF PERMUTATIONS IN DESCENDING ORDER OF WEGHTS OR PROBABILITIES OF ALL Q0 ELEMENTS ) ( VARIANT OF STAT3841 ) STAT3972 READS AN L0-ELEMENT SEQUENCE OF PROBABILITIES/WEIGHTS OF ELEMENTS IN WT(L).INP ON < 1, 2, ... , L0 >, GENERATED VIA STAT3246, AS WT(L).OUT. READS A SEQUENCE OF Q0-ELEMENT PERMUTATIONS FROM PERM.INP ON THE ELEMENTS IN < 1, 2, ... , L0 > AND RE-ARRANGES OR ORDERS THE ELEMENTS IN DESCENDING ORDER OF WEIGHTS OF ELEMENTS RECORDED IN WT(L).INP. RE-ARRANGEMENTS ARE RECORDED IN PERM.OUT FOR FURTHER ANALYSIS. SEQUENTIAL ELEMENT PAIRS AND TRIADS FROM EACH RE-ARRANGED PERMUTATION ARE RECORDED IN STAT149.IN2 AND STAT149.IN3 FOR FURTHER ANALYSIS. CF. ALSO STAT3841. FOR EACH RE-ARRANGED PERMUTATION IN PERM.OUT, BOTH THE TOP K0-ELEMENT EVENT AND CENTRAL K0-ELEMENT EVENT ARE RECORDED IN STAT94.INP FOR FURTHER APPLICATION. ========================================================================= -- L 3973 -- MONITOR MATRIX GENERATOR XXXXX FREQUENCY COUNTS FOR ELEMENTS IN A LARGE SEQUENCE OF V1-ELEMENT PERMUTATIONS ( VARIANT OF STAT3640 AND PERM. VERSION OF STAT3723 AND STAT3641 ) ( PERMUTATION VERSION OF STAT3641 , STAT3642, AND STAT3647 ) (VARIANT OF STAT3641, STAT3638, STAT3419, STAT3469, STAT3487, STAT3491) ( SUMS OF WEIGHTS OF ELEMENTS PER K0-ELEMENT TEST EVENT WITHOUT RESTRICTION OF ANY REPEATING ELEMENTS PER FILTERED EVENT ) ( UTILIZING PRE-DETERMINED GEOMETRIC, NEGATIVE BINOMIAL, OR POISSON PROBABILITY DISTRIBUTION TO DETERMINE PROBABILITIES ) STAT3973 READS AN L0-ELEMENT SEQUENCE OF PROBABILITIES/WEIGHTS OF ELEMENTS IN WT(L).INP ON < 1, 2, ... , L0 >, GENERATED VIA STAT3246, READS A V0-ELEMENT PERMUTATION FROM PERM.INP ON THE ELEMENTS IN PERM.INP, DETERMINES ALL [ V0 CHOOSE K0 ] K0-ELEMENT TEST EVENTS, AND RANKS THE EVENTS IN DESCENDING ORDER OF SUMS OF WEIGHTS OF ELEMENTS OVER EACH OF THE COLUMNS < 1, 2, ... , K0>. STAT3973 IS A VARIANT OF STAT3641 AND STAT3642 AND STAT3247, ANALYZING K0-ELEMENT SUBSTRINGS FROM PERM.INP, RATHER THAN K0-ELEMENT TEST EVENTS FROM STAT3973.INP. A SUM OF ELEMENT PROBABILITIES PER EVENT, WITHIN THE RANGE [ S1,S2 ] , IS SELECTED IN REAL-TIME BY THE ANALYST. ========================================================================= -- L 3974 -- ( GENERATING K0-ELEMENT EVENTS FROM A (BMAX x K0) - DIMENSIONAL BLOCK BY INTERCHANGING SELECTED SUB-STRINGS FROM SELECTED PAIRS OF CONSECUTIVE K0-ELEMENT EVENTS ) STAT3974 READS A ( BMAX x K0 ) - DIMENSIONAL BLOCK OF EVENTS FROM STAT3974.INP AND GENERATES INTO STAT94.INP A SEQUENCE OF EVENTS CONSTRUCTED BY INTERCHANGING SELECTED SUB-STRRINGS FROM PAIRS OF CONSECUTIVE K0-ELEMENT EVENTS. ========================================================================= -- L 3975 -- ( DETERMINING THE PROBABILITY THAT ELEMENT L1 OCCURS IN COLUMN K1 AND THE PROBABILITY THAT ELEMENT L2 OCCURS IN COLUMN K2 FROM A PRE-GENERATED ( L0 x K0 )-DIMENSIONAL ARRAY OF GEOMETRIC PROBABILITIES ) ( VARIANT OF STAT3976 ) STAT3975 READS AN ( L0 x K0 )-DIMENSIONAL ARRAY OF GEOMETRIC PROBABILITIES FROM STAT3975.INP, PRE-GENERATED AS STAT3258.IN2, FROM STAT3250, AND COMPUTES THE PROBABILITY THAT AN ELEMENT L1 OCCURS IN COLUMN K1 AND THAT AN ELEMENT L2 OCCURS IN COLUMN K2 FOR INDEPENDENT EVENTS, WITH ELEMENTS L = 1, 2, ... , L0 AND COLUMNS K = 1, 2, ... , K0. CF. ALSO STAT3976. ========================================================================= -- L 3976 -- ( DETERMINING THE PROBABILITY THAT ELEMENT L1 OCCURS IN COLUMN K1 AND THE PROBABILITY THAT ELEMENT L2 OCCURS IN COLUMN K2 AND THE PROBABILITY THAT ELEMENT L3 OCCURS IN COLUMN K3 FROM A FIXED, PRE-GENERATED ( L0 x K0 )-DIMENSIONAL ARRAY OF GEOMETRIC PROBABILITIES ) ( VARIANT OF STAT3976 ) STAT3976 READS AN ( L0 x K0 )-DIMENSIONAL ARRAY OF GEOMETRIC PROBABILITIES FROM STAT3976.INP, PRE-GENERATED AS STAT3258.IN2, FROM STAT3250, AND COMPUTES THE PROBABILITY THAT AN ELEMENT L1 OCCURS IN COLUMN K1 AND THAT AN ELEMENT L2 OCCURS IN COLUMN K2 AND THAT AN ELEMENT L3 OCCURS IN COLUMN K3, ETC., FOR INDEPENDENT EVENTS, WITH ELEMENTS L = 1, 2, ... , L0 AND COLUMNS K = 1, 2, ... , K0. CF. ALSO STAT3975. ========================================================================= -- L 3977 -- ( GENERATING A Q0-ELEMENT PERMUTATION FROM A SELECTED K0-ELEMENT STAR EVENT BY THE CONSTRUCTION OF SELECTED PAIR-WISE DIFFERENCES BETWEEN ITS K0 ELEMENTS ) STAT3977 ACCEPTS A K0-ELEMENT STAR EVENT FROM THE ANALYST IN REAL TIME AND UTILIZES IT TO GENERATE A Q0-DIMENSIONAL PERMUTATION WITH NON-REPEATING ELEMENTS FROM SELECTED PAIR-WISE DIFFERENCES BETWEEN ELEMENTS OF THE STAR EVENT. THE Q0-ELEMENT IS RECORDED IN PERM.OUT AND STAT3977.OUT FOR FURTHER ANALYSIS. ========================================================================= -- L 3978 -- MONITOR MATRIX GENERATOR XXXXX FREQUENCY COUNTS FOR ELEMENTS IN A LARGE SEQUENCE OF V1-ELEMENT PERMUTATIONS ( PERMUTATION VERSION OF STAT3723 AND STAT3641 ) ( PERMUTATION VERSION OF STAT3641 , STAT3642, AND STAT3647 ) (VARIANT OF STAT3640, STAT3638, STAT3419, STAT3469, STAT3487, STAT3491) ( PRODUCTS OF WEIGHTS OF ELEMENTS PER 3-ELEMENT TEST EVENT ) ( SPECIAL CASE RESTRICTED TO K0 = 3 ) ( UTILIZING PRE-DETERMINED GEOMETRIC, NEGATIVE BINOMIAL, OR POISSON PROBABILITY DISTRIBUTION TO DETERMINE PROBABILITIES ) STAT3978 READS AN L0-ELEMENT SEQUENCE OF PROBABILITIES/WEIGHTS OF ELEMENTS IN WT(L).INP ON < 1, 2, ... , L0 >, GENERATED VIA STAT3246, READS A V0-ELEMENT PERMUTATION FROM PERM.INP ON THE ELEMENTS IN PERM.INP, DETERMINES ALL [ V0 CHOOSE 3 ] 3-ELEMENT TEST EVENTS, AND RANKS THE EVENTS IN DESCENDING ORDER OF PRODUCTS OF WEIGHTS OF ELEMENTS OVER EACH OF THE COLUMNS < 1, 2, 3 >. STAT3978 IS A VARIANT OF STAT3641 AND STAT3642 AND STAT3247, ANALYZING 3-ELEMENT SUBSTRINGS FROM PERM.INP, RATHER THAN 3-ELEMENT TEST EVENTS FROM STAT3978.INP. A PRODUCT OF ELEMENT PROBABILITIES PER EVENT, WITHIN THE RANGE [ S1,S2 ] , IS SELECTED IN REAL-TIME BY THE ANALYST. ========================================================================= -- L 3979 -- MONITOR MATRIX GENERATOR XXXXXX FREQUENCY COUNTS FOR ELEMENTS IN A LARGE SEQUENCE OF Q0-ELEMENT PERMUTATIONS XII ( VARIANT OF STAT2349 , RANKING PERMUTATIONS VIA DESCENDING NZ0 ) COMPARES A LARGE SET OF Q0-ELEMENT BLOCKS OF PERMUTATIONS WITH A BASE SET OF ELEMENTS, DETERMINES THE NUMBER OF ELEMENTS IN EACH PERM PER BMAX-EVENT BLOCK IN VS. THE BASE SET, DETERMINES THE RELATIVE FREQUENCIES AND SUM OF RELATIVE FREQUENCIES OF COMMON ELEMENTS FOR COMPARISON, AND GENERATES A MONITOR MATRIX REFLECTING THE PATTERNS OF MATCHES FROM THE ABOVE SEQUENCE OF BASE SETS. STAT3979 IS A VARIANT STAT2343 AND STAT1032, ANALYZING Q0-ELEMENT PERMUTATIONS RATHER THAN TEST EVENTS, WITH PERMS FILTERED FROM SUB-BLOCKS OF SIZE BMAX. IF THE EXPECTED FREQUENCY CADENCE = 1/K, THEN STAT3979 TACITLY EXAMINES THE LAST K FREQUENCY COUNTS, INSTEAD OF THE LAST JMAX FREQUENCY COUNTS, WHEN SELECTING [*]-QUALIFYING PERMS TO BE FILTERED, WHERE K IS A DETERMINED FREQUENCY CADENCE FOR 1 / K EVENTS. CF. STAT1031 AND STAT1036 FOR PERMUTATION REPLICAS. STAT3979 READS SUB-BLOCKS OF BMAX INPUT PERMUTATIONS FROM PERM.INP AND UP TO 600 INPUT STAR EVENTS FROM BASE.INP. [*]-QUALIFYING PERMS ARE FILTERED AND RECORDED IN PERM.OUT, RANKED IN DESCENDING ORDER OF INDEX DISPLACENT, IDELTA = MTC - IRATIO WHERE MTC = THE # OF TRAILING [0]"S AND IRATIO IS THE OCCURRENCE CADENCE FOR [1]"S VS. THE JMAX STAR EVENTS. STAT3979 IS THE PERMUTATION VERSION OF STAT2343. CF. STAT2405 FOR THE GENERATION OF K0-ELEMENT EVENTS FROM PERMUTATIONS. [*]-QUALIFYING PERMUTATIONS ARE ALSO RECORDED IN CUMULAT.OUT. STAT3979 ALSO GENERATES THE FILE STAT3845.INP FOR PERMUTATIONS, WHOSE INDICES ARE UTILIZED, AS ELEMENTS IN STAT3845, MAPPED FROM PERM.INP OF STAT3979. ========================================================================= -- L 3980 -- MONITOR MATRIX GENERATOR XXXXX FREQUENCY COUNTS FOR ELEMENTS IN A LARGE SEQUENCE OF K0-ELEMENT EVENTS XI ( VARIANT OF STAT2343 , RANKING TEST EVENTS VIA DESCENDING ZMK ) ( VARIANT OF STAT3610 AND DUAL OF STAT2872 ) COMPARES A LARGE SET OF K0-ELEMENT BLOCKS WITH A FINITE BASE SET OF ELEMENTS, DETERMINES THE NUMBER OF ELEMENTS IN EACH EVENT PER 1-EVENT BLOCK IN VS. THE BASE SET, DETERMINES THE RELATIVE FREQUENCIES AND SUM OF RELATIVE FREQUENCIES OF COMMON ELEMENTS FOR COMPARISON, AND GENERATES A MONITOR MATRIX REFLECTING THE PATTERNS OF MATCHES FROM THE ABOVE SEQUENCE OF BASE SETS. STAT3980 IS A VARIANT STAT1030 AND STAT3149, ANALYZING K0-ELEMENT TEST EVENTS RATHER THAN PERMUTATIONS, WITH EVENTS FILTERED FROM SUB-BLOCKS OF SIZE 1. IF THE EXPECTED FREQUENCY CADENCE = 1/K, THEN STAT3980 TACITLY EXAMINES THE LAST K FREQUENCY COUNTS, INSTEAD OF THE LAST JMAX FREQUENCY COUNTS, WHEN SELECTING [*]-QUALIFYING EVENTS TO BE FILTERED, WHERE K IS A DETERMINED FREQUENCY CADENCE FOR 1 / K EVENTS. CF. STAT1031 AND STAT1036 FOR PERMUTATION REPLICAS. STAT3980 READS SUB-BLOCKS OF INPUT TEST EVENTS FROM STAT3980.INP AND UP TO 400 INPUT STAR EVENTS FROM BASE.INP. [*]-QUALIFYING EVENTS ARE FILTERED AND RECORDED IN STAT94.INP, RANKED IN DESCENDING OR ASCENDING ORDER OF GEOMPR , 10*GEOMETRIC PROBABILITY THAT EVENT E WILL OCCUR AT LEAST ONCE WITHIN THE NEXT NZ0 TRIALS, WHERE NZ0P1 = NZ0 + 1 AND NZ0 IS THE NUMBER OF RIGHT TRAILING [0]"s IN THE BINARY BLUEPRINT FOR EVENT E VS. IMAX STAR EVENTS IN BASE.INP. STAT3980 IS THE TEST EVENT VERSION OF STAT2349. CF. STAT2349 FOR THE PERMUTATION VERSION. CF. ALSO STAT2514, STAT2604 , STAT2606, AND STAT3149. THE FILE PERM.INP IS TACITYLY GENERATED FOR STAT3573. A CUMULATIVE FILE OF TEST EVENTS IS GENERATED AND RECORDED IN CUMULAT.OUT. CF. ALSO STAT3723, STAT3826, AND STAT3610. A FILE CONSISTING OF NZ0P1 AND PP IS GENERATED FOR EACH [*]-QUALIFYING EVNET AND RECORDED IN STAT3845.INP FOR FURTHER ANALYSIS. ========================================================================= -- L 3981 -- MONITOR MATRIX GENERATOR XXXXX FREQUENCY COUNTS FOR ELEMENTS IN A LARGE SEQUENCE OF K0-ELEMENT EVENTS (VARIANT OF STAT3843 WITH EVENTS RANKED IN DESCENDING ORDER OF ZMK) (VARIANT OF STAT3980 AND HYBRID OF STAT2343 AND STAT3663) ( CASE: K0 = 6 ) READS A FIXED Q0-ELEMENT PERMUTATION FROM PERM.INP AND GENERATES A COMPLETE SET OF [ Q0 C K0 ] K0-ELEMENT EVENTS. STAT3981 THEN COMPARES EACH GENERATED K0-ELEMENT EVENT WITH A FINITE BASE SET OF STAR EVENTS, DETERMINES THE NUMBER OF ELEMENTS IN EACH EVENT PER 1-EVENT BLOCK IN VS. THE BASE SET, DETERMINES THE RELATIVE FREQUENCIES AND SUM OF RELATIVE FREQUENCIES OF COMMON ELEMENTS FOR COMPARISON, AND GENERATES A MONITOR MATRIX REFLECTING THE PATTERNS OF MATCHES FROM THE ABOVE SEQUENCE OF BASE SETS. STAT3981 IS A VARIANT STAT1030 AND STAT3149, ANALYZING K0-ELEMENT TEST EVENTS RATHER THAN PERMUTATIONS, WITH EVENTS FILTERED FROM SUB-BLOCKS OF SIZE 1. IF THE EXPECTED FREQUENCY CADENCE = 1/K, THEN STAT3981 TACITLY EXAMINES THE LAST K FREQUENCY COUNTS, INSTEAD OF THE LAST JMAX FREQUENCY COUNTS, WHEN SELECTING [*]-QUALIFYING EVENTS TO BE FILTERED, WHERE K IS A DETERMINED FREQUENCY CADENCE FOR 1 / K EVENTS. CF. STAT1031 AND STAT1036 FOR PERMUTATION REPLICAS. STAT3981 READS SUB-BLOCKS OF INPUT TEST EVENTS FROM STAT3981.INP AND UP TO 400 INPUT STAR EVENTS FROM BASE.INP. [*]-QUALIFYING EVENTS ARE FILTERED AND RECORDED IN STAT94.INP, RANKED IN DESCENDING OR ASCENDING ORDER OF INDEX DISPLACEMENT, IDELTA = # Trailing Zeros. STAT3981 IS THE TEST EVENT VERSION OF STAT2349. CF. STAT2349 FOR THE PERMUTATION VERSION. CF. ALSO STAT2514, STAT2604 , STAT2606, AND STAT3149. THE FILE PERM.INP IS TACITYLY GENERATED FOR STAT3573. A CUMULATIVE FILE OF TEST EVENTS IS GENERATED AND RECORDED IN CUMULAT.OUT. CF. STAT3980. CF. STAT3853 FOR THE CASE: K0 = 5. ========================================================================= -- L 3982 -- ( GENERATING A K0-ELEMENT EVENT OF QUASI-MEANS FROM A (BMAX x K0) DIMENSIONAL BLOCK ) STAT3982 READS A ( BMAX x K0 ) - DIMENSIONAL BLOCK OF EVENTS FROM STAT3982.INP AND GENERATES, INTO STAT94.INP, A SEQUENCE OF EVENTS CONSTRUCTED BY DETERMINING A QUASI-MEAN FOR EACH ONE OF THE K0 COLUMNS OF STAT3982.INP, RECORDING THE RESULTS IN STAT94.INP. ALSO RECORDED IN STAT94.INP ARE THE K0-ELEMENT EVENTS CONSTRUCTED FROM ELEMENTS OF THE TOP K0 ROWS AND THE BOTTOM K0 ROWS IN COLUMNS 2, 3, AND 4, RESPECTIVELY, OF STAT3982.INP. STAT3982.INP MAY BE GENERATED AS STAT94.INP FROM STAT3981 OR FROM ANY (BMAX x K0 ) - DIMENSIONAL BLOCK OF K0-ELEMENT EVENTS. ========================================================================= -- L 3983 -- ( RE-ARRANGING OR ORDERING THE ELEMENTS OF EACH K0-ELEMENT EVENT FROM A FIXED BLOCK OF EVENTS IN DESCENDING ORDER OF WEGHTS OR PROBABILITIES OF ALL K0 ELEMENTS PER EVENT ) ( VARIANT AND TEST EVENT VERSION OF STAT3972 ) STAT3983 READS AN L0-ELEMENT SEQUENCE OF PROBABILITIES/WEIGHTS OF ELEMENTS IN WT(L).INP ON < 1, 2, ... , L0 >, GENERATED VIA STAT3246, AS WT(L).OUT, READS A SEQUENCE OF K0-ELEMENT TEST EVENTS FROM STAT3983.INP ON THE ELEMENTS IN < 1, 2, ... , L0 >, AND RE-ARRANGES OR RE-ORDERS THE ELEMENTS IN DESCENDING ORDER OF WEIGHTS OF ELEMENTS RECORDED IN WT(L).INP. RE-ARRANGEMENTS ARE RECORDED IN STAT3983.OUT FOR FURTHER ANALYSIS. SEQUENTIAL ELEMENT PAIRS AND TRIADS FROM EACH RE-ARRANGED TEST EVENT ARE TACITLY RECORDED IN STAT149.IN2 AND STAT149.IN3 FOR FURTHER ANALYSIS. CF. ALSO STAT3841 FOR THE PERMUTATION VERSION OF STAT3983. ========================================================================= -- L 3984 -- MONITOR MATRIX GENERATOR XXIX FREQUENCY COUNTS FOR A SEQUENCE OF ELEMENTS < 1 , 2, ... , L0 > VS. A SEQUENCE OF STAR EVENTS ( PROBABILITY THAT ELEMENT L OCCURS IN THE NEXT STAR EVENT VIA A ZMK ELEMENT PDF OVER EACH ONE OF K0 SEPARATE COLUMNS ) ( VARIANT OF STAT3250 and STAT3985 ) STAT3984 READS A (6 x K0)-DIMENSIONAL BLOCK OF COLUMN INDICES FROM STAT3984.IN2 TO BE UTILIZED IN SELECTING ELEMENTS FROM PERM.OUT ON ELEMENTS < 1,2,...,L0>, AFTER GENERATION BY STAT3984. AND READS A SEQUENCE OF IMAX STAR EVENTS ON THE ELEMENTS ON THE ELEMENTS IN T = < 1, 2, ... , L0 > DETERMINES A (0,1) - OCCURRENCE MATRIX FOR EACH OF THE L0 ELEMENTS OF THE SET T, THE RELATIVE FREQUENCY OF EACH ELEMENT IN T, AND DETERMINES A PROJECTED SEQUENCE OF TRANSLATION VECTORS IN PERM.INP, WHICH ARE HIGHLY LIKELY TO OCCUR IN THE NEXT K0-ELEMENT STAR EVENT OF BASE.INP. STAT3984 IS A VARIANT OF STAT3250, ANALYZING L0 ELEMENTS IN STAR EVENTS OVER EACH ONE OF K0 SEPARATE COLUMNS VS. THE BASE SET OF STAR EVENTS, BUT FILTERING STAR ELEMENTS, BASED UPON A RELATIVE FRQUENCY PDF TACITLY DETERMINING THE Pr(EACH ELEMENT L WILL OCCUR FOLLOWING THE FINAL STAR EVENT). A DETERMINED THRESHOLD VALUE, M0, BASED UPON STAR EVENT INDEXES. STAT3984 READS UP TO 100 STAR EVENTS IN BASE.INP AND ANALYZES ELEMENTS IN THE RANGE < 1, ... , L0 >, WHERE THE MAXIMUM VALUE OF L0 IS 54. CF. ALSO STAT893, STAT894, STAT899, AND STAT933. VS. THE BASE SET OF STAR EVENTS, BUT FILTERING STAR ELEMENTS, BASED UPON WHETHER OR NOT THE INDEX OF STAR EVENT (IMAX+1-M0) IS CONGRUENT TO 0 (MOD KCT), WHERE M0 IS THE STAR INDEX OF THE FIRST OCCURRING ELEMENT 1 IN THE (0,1) - OCCURRENCE MATRIX AND KCT IS THE NUMBER OF ELAPSED EVENTS PER OCCURRENCE OF A 1 IN THE (0,1) - OCCURRENCE MATRIX FOR EACH OF THE L0 STAR ELEMENTS. M1 IS THE DESIRED THRESHOLD VALUE FOR INDEXES: M1 (MOD KCT). STAT3984 READS UP TO 100 STAR EVENTS IN BASE.INP AND ANALYZES ELEMENTS IN THE RANGE < 1, ... , L0 >, WHERE THE MAXIMUM VALUE OF L0 IS 54. CF. ALSO STAT893, STAT894, STAT899, AND STAT933. STAT3984 IS A VARIANT OF STAT3250, BUT UTILIZES A DIFFERENT ALGORITHMIC TECHNIQUE FOR DETERMINING HIGH-PROBABILITY ELEMENTS. SIGNIFICANTLY, STAT3984 GENERATES PERM.OUT AND PERM2.OUT FOR PROCESSING AS PERM.INP IN STAT543, STAT3011, STAT3012, STAT3013, STAT3121. AND STAT3122. A Q0-ELEMENT VECTOR OF TRANSLATION ELEMENTS IS READ FROM PERM.INP AND COMPARED TO D(L) FOR EACH L, WHERE D(L) = FREQUENCY(ELEMENT L) OVER IMAX STAR EVENTS IN COLUMN J , FOR J = 1, ... , K0 OVER IMAX STAR EVENTS. ( VS. A SEQUENCE OF STAR EVENTS ( PROBABILITY THAT ELEMENT L OCCURS IN THE NEXT STAR EVENT VIA A MEDIAN ELEMENT PDF OVER EACH ONE OF K0 SEPARATE COLUMNS ) ( VARIANT OF STAT3250 and STAT3984 ) STAT3985 READS A (6 x K0)-DIMENSIONAL BLOCK OF COLUMN INDICES FROM STAT3985.IN2 TO BE UTILIZED IN SELECTING ELEMENTS FROM PERM.OUT ON ELEMENTS < 1,2,...,L0>, AFTER GENERATION BY STAT3985. AND READS A SEQUENCE OF IMAX STAR EVENTS ON THE ELEMENTS ON THE ELEMENTS IN T = < 1, 2, ... , L0 > DETERMINES A (0,1) - OCCURRENCE MATRIX FOR EACH OF THE L0 ELEMENTS OF THE SET T, THE RELATIVE FREQUENCY OF EACH ELEMENT IN T, AND DETERMINES A PROJECTED SEQUENCE OF TRANSLATION VECTORS IN PERM.INP, WHICH ARE HIGHLY LIKELY TO OCCUR IN THE NEXT K0-ELEMENT STAR EVENT OF BASE.INP. STAT3985 IS A VARIANT OF STAT3250, ANALYZING L0 ELEMENTS IN STAR EVENTS OVER EACH ONE OF K0 SEPARATE COLUMNS VS. THE BASE SET OF STAR EVENTS, BUT FILTERING STAR ELEMENTS, BASED UPON A RELATIVE FRQUENCY PDF TACITLY DETERMINING THE Pr(EACH ELEMENT L WILL OCCUR FOLLOWING THE FINAL STAR EVENT). A DETERMINED THRESHOLD VALUE, M0, BASED UPON STAR EVENT INDEXES. STAT3985 READS UP TO 100 STAR EVENTS IN BASE.INP AND ANALYZES ELEMENTS IN THE RANGE < 1, ... , L0 >, WHERE THE MAXIMUM VALUE OF L0 IS 54. CF. ALSO STAT893, STAT894, STAT899, AND STAT933. VS. THE BASE SET OF STAR EVENTS, BUT FILTERING STAR ELEMENTS, BASED UPON WHETHER OR NOT THE INDEX OF STAR EVENT (IMAX+1-M0) IS CONGRUENT TO 0 (MOD KCT), WHERE M0 IS THE STAR INDEX OF THE FIRST OCCURRING ELEMENT 1 IN THE (0,1) - OCCURRENCE MATRIX AND KCT IS THE NUMBER OF ELAPSED EVENTS PER OCCURRENCE OF A 1 IN THE (0,1) - OCCURRENCE MATRIX FOR EACH OF THE L0 STAR ELEMENTS. M1 IS THE DESIRED THRESHOLD VALUE FOR INDEXES: M1 (MOD KCT). STAT3985 READS UP TO 100 STAR EVENTS IN BASE.INP AND ANALYZES ELEMENTS IN THE RANGE < 1, ... , L0 >, WHERE THE MAXIMUM VALUE OF L0 IS 54. CF. ALSO STAT893, STAT894, STAT899, AND STAT933. STAT3985 IS A VARIANT OF STAT3250, BUT UTILIZES A DIFFERENT ALGORITHMIC TECHNIQUE FOR DETERMINING HIGH-PROBABILITY ELEMENTS. SIGNIFICANTLY, STAT3985 GENERATES PERM.OUT AND PERM2.OUT FOR PROCESSING AS PERM.INP IN STAT543, STAT3011, STAT3012, STAT3013, STAT3121. AND STAT3122. A Q0-ELEMENT VECTOR OF TRANSLATION ELEMENTS IS READ FROM PERM.INP AND COMPARED TO D(L) FOR EACH L, WHERE D(L) = FREQUENCY(ELEMENT L) OVER IMAX STAR EVENTS IN COLUMN J , FOR J = 1, ... , K0 OVER IMAX STAR EVENTS. ( AND REPLACING AN ELEMENT OF AN ADJACENT PAIR WATH THE ENEMENT OF THE PAIR WHIAL HAS THE HIGHEST GEOMETRIC PROBABILITY ÏF OCCTRRYNG IN DHE NEXT STAR EVENT ) II ( Q0-DIMENSIOLaL PERMUTATION VARIANT OF STAT3990 ) DAT3991 READS A Q0-DIMELSIONAL PERMUTATIoN DROM PESM.INP,  A SEQumNCE OF(L0 WEIGHTS/PROBABILITIES OF!ELMMENTS FROM WT(L).IFP, C ( PRE-GENERATED IN STAT3246 AS WT(L).OUT ), COEPARING SONSEAUUIVE NOO-OVERMAPPING PAIRS OF ELEMENTS AND REPLACING AN ELEMENT OF AN ADJACENT PAIR WiTH ThE EHEMENT OF THE PAIR WXKCH HASTHE HIGHEST GEOMETRIC PROBAÂILITY OF0OCCURRING`IN THE NEXT STAR0EVEFT, AS DETERMINED BY STAT3246 IN WT(L).OUÔ. THE UPDATED Q0-DIMENSIONAL PERMUTATION IS"RECORDED IN PERM.OUT FOR FURTÉER ANALYSIS.- C A SELECTED SET OF FIVE K0-ELEMENT EVENTS FROM PERM,ÏUT IS RECNRDED IN STAT94.INP FOR FURTHER ANALYSIS. CF. STAT3989 FOR THE K0-ELEMENT EVENT VERSÙON OF STAT39¹0.( CF. ALSO STIT3990 FOR!A VARIANT OF [TAT3991. ========================================================================= -- L 3992 -- MONITOR MATRIX GENERATOR XXXXX FREQUENCY COUNTS FOR ELEMENTS IN A LARGE SEQUENCE OF K0-ELEMENT EVENTS ( PERMUTATION VARIANT OF THE K0-ELEMENT EVENT VERSION [ STAT3970 ] ) VII ( CASE : K0 = 6 ) READS A V0-ELEMENT PERMUTATION FROM PERM.INP ON THE ELEMENTS IN PERM.INP, DETERMINES ALL [ V0 CHOOSE K0 ] K0-ELEMENT TEST EVENTS, AND RANKS THE EVENTS IN DESCENDING ORDER OF YRATIO = NZ0/MCOUNT/NZ1 (WHERE MCOUNT = JMAX + 1 - NZ0 , OVER THE JMAX STAR EVENTS), WHICH DETERMINES AN OVER-DUE METREC OF AN EVENT VS. STAR EVENTS. STAT3992 COMPARES A LARGE SET OF K0-ELEMENT BLOCKS WITH A BASE SET OF ELEMENTS, DETERMINES THE NUMBER OF ELEMENTS IN EACH EVENT PER 1-EVENT BLOCK IN VS. THE BASE SET, DETERMINES THE RELATIVE FREQUENCIES AND SUM OF RELATIVE FREQUENCIES OF COMMON ELEMENTS FOR COMPARISON, AND GENERATES A MONITOR MATRIX REFLECTING THE PATTERNS OF MATCHES FROM THE ABOVE SEQUENCE OF BASE SETS. STAT3992 IS A VARIANT STAT1030 AND STAT3149, ANALYZING K0-ELEMENT TEST EVENTS RATHER THAN PERMUTATIONS, WITH EVENTS FILTERED FROM SUB-BLOCKS OF SIZE 1. IF THE EXPECTED FREQUENCY CADENCE = 1/K, THEN STAT3992 TACITLY EXAMINES THE LAST K FREQUENCY COUNTS, INSTEAD OF THE LAST JMAX FREQUENCY COUNTS, WHEN SELECTING [*]-QUALIFYING EVENTS TO BE FILTERED, WHERE K IS A DETERMINED FREQUENCY CADENCE FOR 1 / K EVENTS. CF. STAT1031 AND STAT1036 FOR PERMUTATION REPLICAS. STAT3992 READS SUB-BLOCKS OF INPUT TEST EVENTS FROM STAT3992.INP AND UP TO 400 INPUT STAR EVENTS FROM BASE.INP. [*]-QUALIFYING EVENTS ARE FILTERED AND RECORDED IN STAT94.INP, RANKED IN DESCENDING OR ASCENDING ORDER OF GEOPROB, THE CUMULATIVE PROBABILITY THAT EVENT E WILL OCCUR AT LEAST ONCE WITHIN THE NEXT NZ0 TRIALS, WHERE NZ0P1 = NZ0 + 1 AND NZ0 IS THE NUMBER OF RIGHT TRAILING [0]"s IN THE BINARY BLUEPRINT FOR EVENT E VS. IMAX STAR EVENTS IN BASE.INP. STAT3992 IS THE TEST EVENT VERSION OF STAT2349. CF. STAT2349 FOR THE PERMUTATION VERSION. CF. ALSO STAT2514, STAT2604 , STAT2606, AND STAT3149. THE FILE PERM.INP IS TACITYLY GENERATED FOR STAT3573. A CUMULATIVE FILE OF TEST EVENTS IS GENERATED AND RECORDED IN CUMULAT.OUT. CF. ALSO STAT3723, STAT3826, AND STAT3610. A FILE CONSISTING OF NZ0P1 AND PP IS GENERATED FOR EACH [*]-QUALIFYING EVNET AND RECORDED IN STAT3845.INP FOR FURTHER ANALYSIS. STAT3992 IS A PERMUTATION VARIANT OF THE K0-ELEMENT EVENT VERSION ( STAT2343 ) ). ========================================================================= -- L 3993 -- ( PREDICTING FUTURE INTERSECTIONS FOR A CYCLIC BLOCK OF TEST EVENTS ) XXXIX ( QUALIFYING CYCLICAL BLOCKS OF EVENTS VIA A YRATIO PDF ) ( VARIANT OF STAT1618 ) STAT3993 READS A LARGE SEQUENCE OF K0-ELEMENT TEST EVENTS FROM STAT3993.INP, A SEQUENCE OF FMAX K0-ELEMENT TRANSLATION VECTORS FROM ST0T3993.IN2, AND A SEQUENCE OF IMAX K0-ELEMENT STAR EVENTS FROM STAT3993.INP AND A SEQUENCE OF IMAX K0-ELEMENT STAR EVENTS FROM BASE.INP. THE INPUT SEQUENCE IN STAT3993.INP IS READ AS A FIXED K0-ELEMENT EVENT AND EACH SUCH EVENT IS INTERSECTED WITH EACH EVENT IN THE SEQUENCE OF STAR EVENTS READ FROM FILE BASE.INP. THE ROUTINE FILTERS A SEQUENCE OF K0-ELEMENT EVENTS OF BLOCK-SIZE 1. THE PROGRAM IS AUTOMATICALLY TERMINATED WHEN A SEQUENCE OF EVENTS IS GENERATED WHICH QUALIFIES AS A HIGH-PROBABILITY SEQUENCE. THE ROUTINE FLAGS THE ELEMENTS OF A DESIRED RANGE OF STAR EVENTS AS THEY OCCUR AMONG THE ELEMENTS OF EACH TEST EVENT. MOREOVER, OUTPUT TEST EVENTS ARE PRINTED IN THE FILE STAT94.INP FOR FUTURE USE BY OTHER ROUTINES. MOREOVER, THE NUMBER AND PERCENTAGE OF 0's , 1's, 2's, 3's, 4's, ... , K0's ARE COMPUTED AS DETERMINED CARDINALITIES OF INTERSECTION NUMBERS BETWEEN TEST EVENTS AND EACH EVENT IN THE RANGE OF SELECTED STAR EVENTS. A CONFIGURATION MATRIX IS GENERATED WHICH INDICATES THE ELEMENTS IN COMMON BETWEEN TEST EVENT AND THE DESIRED RANGE OF SUCCESSIVE STAR EVENTS. THE ROUTINE ALSO PREDICTS THE NEXT SUCCESSFUL INTERSECTION INDEX BETWEEN A STAR EVENT AND THE GENERATED TEST EVENT. THE ROUTINE STAT3993 FILTERS TEST EVENTS FROM STAT3993.INP INTO STAT3993.OUT AND STAT94.INP. INPUT EVENTS FROM STAT3993.INP ARE ACCEPTED AS [*]-QUALIFIED iff Property 1 : TMAX IN THE INTERVAL [ T1,T2 ] AND | TMAX | .GE. KCT, WHERE 1/KCT IS THE OCCURRENCE CADENCE OVER ALL STAR EVENTS. STAT3993 IS A VARIANT OF STAT13576 STREAMLINING OUTPUT UNT/L AN EXHAUSTIVE SEARCH OVER STAT3993.INP IS COMPLETED FOR QUALIFYING K0-ELEMENT EVENTS OF A DESIRED OR SELECTED BLOCK-SIZE. STAR INDICES ARE USED IN SELECTING QUALIFYING TEST EVENTS. CF. STAT1506 (AN EMBELLISHMENT OF STAT1323) FOR A VERSION OF STAT3993 WHICH GENERATES BLOCKS OF INPUT EVENTS RANDOMLY. STAT3993 USES A SEQUENCE OF CONSECUTIVE INDICES VS. DELTA TO GENERATE THE SPECTRUM OF EVENTS WHOSE VALUES OF DELTA MATCH THE GIVEN SEQUENCE OF INDICES WITHIN A DESIRED INTERVAL, WHERE DELTA = IMAX - ( H(II)+MOD(H(II),KCT) ). CF STAT1504. CF. STAT1619, WHICH IS THE PERMUTATION VERSION OF STAT3993. CF. ALSO STAT2383. A TRANSLATED FILE OF [*]-QUALIFYING EVENTS IS RECORDED IN CUMULAT.OUT. CF. ALSO STAT1654. [*]-QUALIFYING BLOCKS ARE RANKED IN DESCENDING ORDER OF GEOPROD FOR EACH VALUE OF TMAX, WHERE NTMAX = TMAX - KCT. CF. ALSO STAT1631 AND STAT3576. ========================================================================= -- L 3994 -- MONITOR MATRIX GENERATOR XXIX FREQUENCY COUNTS FOR A SEQUENCE OF ELEMENTS < 1 , 2, ... , L0 > VS. A SEQUENCE OF STAR EVENTS ( YRATIO PDF VERSION AND VARIANT OF STAT3246 ) ( VARIANT OF STAT3946, STAT3832, STAT3825 AND STAT3819 ) ( PROBABILITY THAT ELEMENT L OCCURS IN THE NEXT STAR EVENT VIA YRATIO(L) = NZ0(L) / (MCOUNT(L)/NZ1(L)) AND A GEOMETRIC PDF ) READS A SEQUENCE OF IMAX STAR EVENTS ON THE ELEMENTS ON THE ELEMENTS IN T = < 1, 2, ... , L0 > DETERMINES A (0,1) - OCCURRENCE MATRIX FOR EACH OF THE L0 ELEMENTS OF THE SET T, THE RELATIVE FREQUENCY OF EACH ELEMENT IN T, AND DETERMINES A PROJECTED SEQUENCE OF TRANSLATION VECTORS IN PERM.INP, WHICH ARE HIGHLY LIKELY TO OCCUR IN THE NEXT K0-ELEMENT STAR EVENT OF BASE.INP. STAT3994 IS A VARIANT OF STAT3476 AND STAT3532. THE ROUTINE RANKS STAR ELEMENTS, BUT FILTERS STAR ELEMENTS, BASED UPON WHETHER OR NOT THE NUMBER OF 0'S SUCCEEDING THE LAST 1 IN THE STAR EVENT INTERSECTION OCCURRENCE SEQUENCE EXCEEDS A DETERMINED THRESHOLD VALUE, M0, BASED UPON STAR EVENT INDEXES. STAT3994 READS UP TO 100 STAR EVENTS IN BASE.INP AND ANALYZES ELEMENTS IN THE RANGE < 1, ... , L0 >, WHERE THE MAXIMUM VALUE OF L0 IS 54. CF. ALSO STAT893, STAT894, STAT899, AND STAT933. VS. THE BASE SET OF STAR EVENTS, BUT FILTERING STAR ELEMENTS, BASED UPON WHETHER OR NOT THE INDEX OF STAR EVENT (IMAX+1-M0) IS CONGRUENT TO 0 (MOD KCT), WHERE M0 IS THE STAR INDEX OF THE FIRST OCCURRING ELEMENT 1 IN THE (0,1) - OCCURRENCE MATRIX AND KCT IS THE NUMBER OF ELAPSED EVENTS PER OCCURRENCE OF A 1 IN THE (0,1) - OCCURRENCE MATRIX FOR EACH OF THE L0 STAR ELEMENTS. M1 IS THE DESIRED THRESHOLD VALUE FOR INDEXES: M1 (MOD KCT). STAT3994 READS UP TO 100 STAR EVENTS IN BASE.INP AND ANALYZES ELEMENTS IN THE RANGE < 1, ... , L0 >, WHERE THE MAXIMUM VALUE OF L0 IS 54. CF. ALSO STAT893, STAT894, STAT899, AND STAT933. STAT3994 IS A VARIANT OF STAT934, BUT UTILIZES A DIFFERENT ALGORITHMIC TECHNIQUE FOR DETERMINING HIGH-PROBABILITY ELEMENTS. SIGNIFICANTLY, STAT3994 GENERATES PERM.OUT AND PERM2.OUT FOR PROCESSING AS PERM.INP IN STAT543, STAT3011, STAT3012, STAT3013, STAT3121. AND STAT3122. AN M0-ELEMENT PERMUTATION IS GENERATED INTO PERM7.OUT, CONSISTING OF THE HIGHEST RANKING ELEMENTS BY WEIGHT, D(L), OVER THE LAST Q0 K0-ELEMENT STAR EVENTS IN BASE.INP, WHERE D(L) = 1000 * PROBABILITY THAT ELEMENT L WILL OCCUR IN EVENT IMAX+1, IMMEDIATELY SUCCEEDING THE FINAL STAR EVENT. THE SUBSET OF M0 UNIQUE ELEMENTS IS DETERMINED FROM THE LAST Q0 STAR EVENTS SELECTED IN REAL-TIME BY THE ANALYST AND RANED VIA WEIGHTS, , WITH FORMAT: [ I2,' ).',2X,I4,2X,I4,44X,F12.6 ] FOR FURTHER ANALYSIS. AN (IMAX x K0)-DIMENSIONAL MATRIX OF OF INCREMENTS BETWEEN ADJACENT OR SUCCESSIVE PAIRS OF TENS DIGITS FOR ELEMENTS OVER THE LAST IMAX STAR EVENTS IS DETERMINED AND RECORDED IN STAT3994.OT3. MOREOVER, A SEQUENCE OF GEOMETRIC PROB. OF ELEMENTS , L = 1 , 2 , ... , L0 IS GENERATED AS AN OUTPUT FILE, PERM.INP FOR USAGE, E.G., IN STAT3121 OR STAT3798 AS PERM.INP. A COMPUTED SEQUENCE OF IMAX K0-ELEMENT MEAN DEVIATIONS OF SUCCESSIVE PAIRS OF ELEMENTS (OVER THE K0 COLUMNS OF STAR EVENTS IN BASE.INP) IS RECORDED AS STAT3683.INP FOR FURTHER ANALYSIS IN STAT3683. A 6-ELEMENT VECTOR OF COLUMN MEANS IS GENERATED AND RECORDED IN MEANS.OUT. STAT3994 ALSO GENERATES AND RECORDS DISPLACEMENTS FROM BASE.INP INTO STAT163. A SEQUENCE OF OVER-DUE METRICS ( YRATIO(L), L=1, ... , L0 ) IS RECORDED IN PERM.INP TO BE UTILIZED AS PERM.INP IN STAT3764. STAT3994 IS A VARIANT OF STAT3832, STAT3825 AND STAT3819. THE FILE RANK2(L).OUT IS GENERATED FOR STAT3841, UTILIZED AS PERM.INP. SALIENT PERMUTATIONS ARE GENERATED IN PERM.OUT AND PERM3.OUT. RECORDED IN STAT3994.OT3 IS THE NUMBER OF [1]"s PER ELEMENT VS. JMAX STAR EVENTS PAIRED WITH THE CORREESPONDING RELATIVE FREQUENCY PER ELEMENT OVER JMAX STAR EVENTS. RECORDED IN STAT3845.INP IS THE NUMBER OF RIGHT TRAILING ZEROS, NZ0, OF EACH ELEMENT VS. THE JMAX STAR EVENTS IN BASE.INP. A PERMUTATION OF Q0 [*]-QUALIFYING ELEMENTS IS RECORDED IN PERM4.OUT, WITH NZ0(L) .GE. NLOP. AND 1 / NLOP IS THE OCCRRENCE CADENCE FOR ELEMENT L, OVER JMAX STAR EVENTS. A SEQUENCE OF WEIGHTS, < WT2(L) > , IS RECORDED IN THE FILE WT2(L).OUT, WHERE WT2(L) = 1.0 / NZ0(L) FOR EACH L, L = 1, 2, 3, ... , L0. CF. STAT94.INP FOR 2 TACITLY SELECTED HIGH-PROBABILITY K0-ELEMENT EVENTS FROM PERM.OUT, CONSISTING OF THE TOP K0 RANKED ELEMENTS IN ONE EVENT AND THE K0 TOP RANKING ELEMENT IN EACH ONE OF THE TOP K0-ELEMENT GROUPS IN THE SECOND EVENT. THE TOP-RANKING ELEMENT VIA WT % IN EACH ONE OF K0 COLUMNS OF STAR EVENTS IS RECORDED IN STAT201.INP. CF. STAT3246. ========================================================================= -- L 3995 -- ( TRANSLATING A FIXED K0-ELEMENT EVENT VIA A PRE-GENERATED K0-ELEMENT VECTOR OF DISPLACENTS ) STAT3995 READS A FIXED INITIAL K0-ELEMENT EVENT FROM STAT3995.INP ( E.G., THE FINAL STAR EVENT FROM BASE.INP ) AND A PRE-GENERATED DISPLACENT VECTOR FROM STAT3995.INP ( GENERATED, E.G. VIA STAT3683 OR STAT3436), TRANSLATING THE K0-ELEMENTS OF THE INITIAL K0-ELEMENT EVENT BY THE CORRESPONDING K0 ENTRIES OF THE DISPLACEMENT VECTOR. THE TRANSLATED EVENT IS RECORDED IN STAT94.INP, FOR FURTHER ANALYSIS. AND, A SEQUENCE OF IMAX-1 DISPLACEMENTS, [ A(I+1,J) - A(I,J), J= 1, ... , K0 , I = 1,IMAX-1 ] FOR STAR EVENTS IN BASE.INP IS GENERATED INTO STAT3995.OUT. ========================================================================= -- L 3996 -- ( TRANSFORMING A ( BMAX x K0) - DIMENSIONAL BLOCK OF ELEMENTS INTO K0 K0-DIMENSIONAL PERMUTATIONS IN PERM1.OUT PLUS K0 BMAX-DIMENSIONAL PERMUTAIONS IN PERM2.OUT TO BE UTILIZED IN STAT3841 AS PERM.INP ) STAT3996 READS A ( BMAX x K0 ) - DIMENSIONAL OF ELEMENTS FROM STAT3996.INP AND TACITLY TRANSFORMS THE BLOCK INTO PERM1.INP (CONSISTING OF K0 K0-DIMENSIONAL PERMUTATIONS) AND PERM2.INP (CONSISTING OF K0 BMAX-DIMENSIONAL PERMUTATIONS). EACH ONE OF PERM1.OUT AND PERM2.OUT MAY BE UTILIZED IN STAT3841 AS PERM.INP. ========================================================================= -- L 3997 -- MONITOR MATRIX GENERATOR XXXXX FREQUENCY COUNTS FOR ELEMENTS IN A LARGE SEQUENCE OF K0-ELEMENT EVENTS I ( VARIANT OF STAT2343, STAT3610 AND DUAL OF STAT2872 ) COMPARES A LARGE SET OF K0-ELEMENT BLOCKS WITH A FINITE BASE SET OF ELEMENTS, DETERMINES THE NUMBER OF ELEMENTS IN EACH EVENT PER 1-EVENT BLOCK IN VS. THE BASE SET, DETERMINES THE RELATIVE FREQUENCIES AND SUM OF RELATIVE FREQUENCIES OF COMMON ELEMENTS FOR COMPARISON, AND GENERATES A MONITOR MATRIX REFLECTING THE PATTERNS OF MATCHES FROM THE ABOVE SEQUENCE OF BASE SETS. STAT3997 IS A VARIANT STAT1030 AND STAT3149, ANALYZING K0-ELEMENT TEST EVENTS RATHER THAN PERMUTATIONS, WITH EVENTS FILTERED FROM SUB-BLOCKS OF SIZE 1. IF THE EXPECTED FREQUENCY CADENCE = 1/K, THEN STAT3997 TACITLY EXAMINES THE LAST K FREQUENCY COUNTS, INSTEAD OF THE LAST JMAX FREQUENCY COUNTS, WHEN SELECTING [*]-QUALIFYING EVENTS TO BE FILTERED, WHERE K IS A DETERMINED FREQUENCY CADENCE FOR 1 / K EVENTS. CF. STAT1031 AND STAT1036 FOR PERMUTATION REPLICAS. STAT3997 READS SUB-BLOCKS OF INPUT TEST EVENTS FROM STAT3997.INP AND UP TO 400 INPUT STAR EVENTS FROM BASE.INP. [*]-QUALIFYING EVENTS ARE FILTERED AND RECORDED IN STAT94.INP, RANKED IN DESCENDING OR ASCENDING ORDER OF GEOMPR , 10*GEOMETRIC PROBABILITY THAT EVENT E WILL OCCUR AT LEAST ONCE WITHIN THE NEXT NZ0 TRIALS, WHERE NZ0P1 = NZ0 + 1 AND NZ0 IS THE NUMBER OF RIGHT TRAILING [0]"s IN THE BINARY BLUEPRINT FOR EVENT E VS. IMAX STAR EVENTS IN BASE.INP. STAT3997 IS THE TEST EVENT VERSION OF STAT2349. CF. STAT2349 FOR THE PERMUTATION VERSION. CF. ALSO STAT2514, STAT2604 , STAT2606, AND STAT3149. THE FILE PERM.INP IS TACITYLY GENERATED FOR STAT3573. A CUMULATIVE FILE OF TEST EVENTS IS GENERATED AND RECORDED IN CUMULAT.OUT. CF. ALSO STAT3723, STAT3826, AND STAT3610. A FILE CONSISTING OF NZ0P1 AND PP IS GENERATED FOR EACH [*]-QUALIFYING EVNET AND RECORDED IN STAT3845.INP FOR FURTHER ANALYSIS. ========================================================================= -- L 3998 -- ( TRANSFORMING BMAX FUNCTIONAL VALUES IN EACH ONE OF K0-COLUMNS OF A (BMAX x K0 )-DIMENSIONAL BLOCK OF EVENTS INTO A (0,1)- BINARY SEQUENCE FOR ANALYSIS IN STAT3260, STAT3608, OR STAT3615 ) (VARIANT OF STAT3996 WHERE L IS SELECTED IN STEPS OF SIZE 12 FOR F(L)) STAT3998 READS A SEQUENCE OF IMAX K0-ELEMENT STAR EVENTS FROM BASE.INP AND A (BMAX x K0)-DIMENSIONAL BLOOCK OF TEST EVENTS FROM STAT3998.INP. EACH ONE OF THE COLUMNS OF STAT3998 IS EXPRESSED AS A BMAX-DIMENSIONAL VECTOR OF ELEMENTS, , L= 1, ... , BMAX AND THE ELEMENTS ARE TRANSFORMED INTO A (0,1)-SEQUENCE OF BINARY ELEMENTS FOR ANALYSIS AS STAT3260.INP TO DETERMINE THE PROBABILITY THAT EACH F(L) WILL OCCUR ON THE NEXT TRIAL, I.E., TRIAL BMAX+1 , WHERE L IS SELECTED IN STEPS OR DISPLACEMENTS OF SIZE 12 FOR F(L). STAT3998.INP MAY BE BASE.INP OR GENERATED BY STAT3435 AS STAT3998.INP. STAT3998 GENERATES STAT3260.INP AS EITHER STAT3260.IN1, STAT3260.IN2, STAT3260.IN3, STAT3260.IN4, STAT3260.IN5, OR STAT3260.IN6 FOR SELECTED COLUMNS 1-6, RESPECTIVELY. CF. STAT3435 AND STAT3260. STAT3998 ALSO GENERATES THE FILES UNITSDIG.INP AND TENSDIG.INP (DETERMINED FROM THE UNITS DIGITS AND TENS DIGITS OF EVENTS FROM BASE.INP) FOR USAGE AS INPUT FILES IN STAT3681 AND, SUBSEQUENTLY, IN STAT3682. STAT3998 ALSO RETRIEVES (VIA .BAT FILES) THE OUTPUT FILES TDGE4.INP, UDGE5.INP, UDODD.INP, HIGH.INP, AND TDODD.INP GENERATED BY STAT3436 TO BE UTILIZED AS STAT3998.INP FOR FURTHER ANALYSIS IN STAT3260 AS STAT3260.INP. CF. ALSO STAT3683. ========================================================================= -- L 3999 -- ( TRANSFORMING BMAX FUNCTIONAL VALUES IN EACH ONE OF K0-COLUMNS OF A (BMAX x K0 )-DIMENSIONAL BLOCK OF EVENTS INTO A (0,1)- BINARY SEQUENCE FOR ANALYSIS IN STAT3260, STAT3608, OR STAT3615 ) (VARIANT OF STAT3996 WHERE L IS SELECTED IN STEPS OF SIZE 6 FOR F(L)) STAT3999 READS A SEQUENCE OF IMAX K0-ELEMENT STAR EVENTS FROM BASE.INP AND A (BMAX x K0)-DIMENSIONAL BLOOCK OF TEST EVENTS FROM STAT3999.INP. EACH ONE OF THE COLUMNS OF STAT3999 IS EXPRESSED AS A BMAX-DIMENSIONAL VECTOR OF ELEMENTS, , L= 1, ... , BMAX AND THE ELEMENTS ARE TRANSFORMED INTO A (0,1)-SEQUENCE OF BINARY ELEMENTS FOR ANALYSIS AS STAT3260.INP TO DETERMINE THE PROBABILITY THAT EACH F(L) WILL OCCUR ON THE NEXT TRIAL, I.E., TRIAL BMAX+1 , WHERE L IS SELECTED IN STEPS OR DISPLACEMENTS OF SIZE 6 FOR F(L). STAT3999.INP MAY BE BASE.INP OR GENERATED BY STAT3435 AS STAT3999.INP. STAT3999 GENERATES STAT3260.INP AS EITHER STAT3260.IN1, STAT3260.IN2, STAT3260.IN3, STAT3260.IN4, STAT3260.IN5, OR STAT3260.IN6 FOR SELECTED COLUMNS 1-6, RESPECTIVELY. CF. STAT3435 AND STAT3260. STAT3999 ALSO GENERATES THE FILES UNITSDIG.INP AND TENSDIG.INP (DETERMINED FROM THE UNITS DIGITS AND TENS DIGITS OF EVENTS FROM BASE.INP) FOR USAGE AS INPUT FILES IN STAT3681 AND, SUBSEQUENTLY, IN STAT3682. STAT3999 ALSO RETRIEVES (VIA .BAT FILES) THE OUTPUT FILES TDGE4.INP, UDGE5.INP, UDODD.INP, HIGH.INP, AND TDODD.INP GENERATED BY STAT3436 TO BE UTILIZED AS STAT3999.INP FOR FURTHER ANALYSIS IN STAT3260 AS STAT3260.INP. CF. ALSO STAT3683. =========================================================================