= = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = COMP-U-STAT = = = = = = = = STATISTICAL PATTERN GENERATOR AND MATHEMATICAL TREND ANALYZER = = = = = = = = (c) Copyright 2017 by J.E. Glover, Ph.D. = = = = All Rights Reserved = = = = = = = = = = = = Part VII(b) ( STAT 3176 ----> STAT 3399 ) = = = = = = = = = = = = The COMP-U-STAT System consists of a cluster of more than 3706 = = = = 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 3176 ---> 3399 * * * ========================================================================= -- L 3176 -- ( GENERATING Q(J) R(J)-ELEMENT EVENTS FROM EACH PERMUTATION OF SIZE F(J), J = 1,2 , WHERE THE FINAL ELEMENT OF THE FINAL EVENT GENERATED IS IDENTICAL TO P(ENUM(1)) ) III READS A SEQUENCE OF TWO PERMUTATIONS OF VARYING SIZES FROM PERM.INP, GENERATING Q(J) F(J)-ELEMENT EVENTS FROM EACH PERMUTATION, J = 1,2. MOREOVER, THE ROUTINE FILTERS THE GENERATED EVENTS, BY SELECTING EVENTS FROM THE SEQUENCE WITH INDICES CONGRUENT TO AN ELEMENT OF A DESIRED INTEGRAL VECTOR SELECTED BY THE ANALYST, OF THE FORM < M1, M2, M3, M4, M5, M6, M7, M8, M9, M10 > ( MOD T) , FOR SOME DESIRED INTEGER T AND SOME DESIRED INTEGERS M1, M2, ... , M10. STAT3176 IS A VARIANT OF STAT543 AND EVENTS ARE GENERATED SEQUENTIALLY FROM THE INPUT SEQUENCE OF PERMUTATIONS, RATHER THAN RANDOMLY. CF. STAT64 FOR GENERATION OF PERM.INP. CF. ALSO STAT1401, STAT2144, AND STAT2233. A CUMULATIVE FILE OF [*]-QUALIFYING TEST EVENTS IS GENERATED INTO SET3.OUT. [*]-QUALIFYING EVENTS ARE FILTERED INTO STAT94.IN2. CF. STAT64 FOR GENERATION OF PERM.INP. CF. STAT1401, STAT2144. STAT2144, STAT2213 AND STAT2233. A CUMULATIVE FILE OF [*]-QUALIFYING TEST EVENTS IS GENERATED INTO STAT94.IN2. CF. ALSO STAT1365, STAT1401, STAT1781, STAT1828, STAT2248, STAT2250, STAT543, STAT2312, STAT1616, STAT2223, AND STAT2501. STAT3176 IS A VARIANT OF STAT3122, TACITLY GENERATING THE INPUT FILES STAT3177.IN1 AND STAT3177.IN2 FOR ANALYSIS BY STAT3177. ========================================================================= -- L 3177 -- ( GENERATING K0-ELEMENT EVENTS FROM FROM THE BI-PARTITE JUXTAPOSITION OF C1 ELEMENTS FROM ONE BLOCK OF EVENTS UNION C2 ELEMENTS FROM THE SECOND BLOCK OF EVENTS ) STAT3177 READS A FIXED BLOCK OF BMAX C1-ELEMENT TEST EVENTS FROM STAT3177.IN1, A FIXED BLOCK OF CMAX C2-ELEMENT TEST EVENTS FROM STAT3177.IN2 (WITH C1+C2 = K0), AND A SEQUENCE OF IMAX K0-ELEMENT STAR EVENTS FROM BASE.INP. THE BLOCKS IN STAT3177.IN1 AND STAT3177.IN2 ARE UTILIZED TO GENERATE BI-PARTITE K0-ELEMENT EVENTS INTO STAT94.INP AND STAT3177.OUT. A SUB-SEQUENCE OF UP TO 800 GENERATED EVENTS IN STAT94.INP IS INTERSECTED WITH THE SEQUENCE OF IMAX STAR EVENTS FROM BASE.INP. THE ROUTINE FLAGS THE ELEMENTS OF A DESIRED RANGE OF STAR EVENTS AS THEY OCCUR AMONG THE ELEMENTS OF INTERSECTING TEST EVENTS. MOREOVER, THE NUMBER AND PERCENTAGE OF 0's , 1's, 2's, 3's, 4's, ... , K0's ARE COMPUTED AS DETERMINED CARDINALITIES OF INTERSECTIONS 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. STAT3177 IS A VARIANT OF STAT2064, TACITLY GENERATING A SEQUENCE OF HIGH-PROBABILITY TEST EVENTS IN STAT3177.OUT AND STAT94.INP. CF. STAT3176 FOR GENERATING STAT3177.IN1 AND STAT3177.IN2. KIRKMAN TRIPLE SYSTEMS MAY ALSO BE UTILIZED AS INPUT FILES. CF. ALSO STAT1323, STAT1505, STAT1506, STAT1511, STAT1618 AND STAT1631. INPUT EVENTS IN STAT3177.INP MAY BE TACITLY GENERATED BY STAT1438 AS STAT94.INP. CF. STAT1438. CF. STAT204 FOR THE GENERATION OF STAT3177.INP AND CF. STAT2171 FOR THE GENERATION OF STAT3177.IN2. CF. ALSO STAT1606. A CUMULATIVE FILE OF EVENTS IS RECORDED IN CUMULAT.OUT. CF. STAT2853. ========================================================================= -- L 3178 -- ( GENERATING K0-ELEMENT EVENTS FROM A FIXED BLOCK OF EVENTS BY SELCTING SUB-STRINGS OF ELEMENTS FROM CONSECUTIVE PAIRS OR CONSECUTIVE TRIADS OF EVENTS ) STAT3178 READS A SEQUENCE OF BMAX K0-ELEMENT TEST EVENTS FROM STAT3178.INP AND AN ARBITRARILY LARGE SEQUENCE OF K0-ELEMENT TRANSLATION EVENTS IN STAT3178.IN2, UTILIZED TO GENERATE K0-ELEMENT EVENTS FROM THE FIXED BLOCK OF EVENTS BY THE CYCLICAL SELECTION OF SUB-STRINGS OF ELEMENTS FROM CONSECUTIVE PAIRS OR CONSECUTIVE TRIADS OF EVENTS. GENERATED EVENTS ARE OPTIONALLY TRANSLATED AND RECORDED IN STAT94.INP FOR FURTHER ANALYSIS. CF. ALSO STAT3170. STAT3178.INP MAY BE GENERATED AS STAT94.INP IN EITHER STAT201 OR STAT3168. ========================================================================= -- L 3179 -- MONITOR MATRIX GENERATOR XXXXX FREQUENCY COUNTS FOR ELEMENTS IN A LARGE SEQUENCE OF K0-ELEMENT EVENTS ( VARIANT OF STAT3149 AND STAT3180 ) XIV 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. STAT3179 IS A VARIANT STAT2343, ANALYZING K0-ELEMENT TEST EVENTS, RATHER THAN PERMUTATIONS, WITH EVENTS FILTERED FROM SUB-BLOCKS OF SIZE BMAX. IF THE EXPECTED FREQUENCY CADENCE = 1/K, THEN STAT3179 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. STAT3179 READS SUB-BLOCKS OF BMAX INPUT TEST EVENTS FROM STAT3179.INP AND UP TO 600 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 = ISUM = Total # of 1"s OVER ALL IMAX STAR EVENT INDICES = TOTAL # OF SUCCESSES VS. THE COMPLETE SPECTRUM OF IMAX STAR EVENTS. STAT3179 IS A VARIANT OF STAT3180 AND IS A TEST EVENT VERSION OF STAT2349. CF. STAT2349 FOR THE PERMUTATION VERSION. CF. ALSO STAT2514, STAT2604, STAT2606, STAT2343, STATAT3180. ========================================================================= -- L 3180 -- MONITOR MATRIX GENERATOR XXXXX FREQUENCY COUNTS FOR ELEMENTS IN A LARGE SEQUENCE OF K0-ELEMENT EVENTS ( VARIANT OF STAT3149 ) XV 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. STAT3180 IS A VARIANT STAT2343, ANALYZING K0-ELEMENT TEST EVENTS, RATHER THAN PERMUTATIONS, WITH EVENTS FILTERED FROM SUB-BLOCKS OF SIZE BMAX. IF THE EXPECTED FREQUENCY CADENCE = 1/K, THEN STAT3180 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. STAT3180 READS SUB-BLOCKS OF BMAX INPUT TEST EVENTS FROM STAT3180.INP AND UP TO 600 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 = TOTAL # 0"S IN THE TAIL OF STAR INDICES VS. THE COMPLETE SPECTRUM OF IMAX STAR EVENTS. STAT3180 IS A TEST EVENT VERSION OF STAT2349. CF. STAT2349 FOR THE PERMUTATION VERSION. CF. ALSO STAT2514, STAT2604, STAT2606, AND STAT2343. ========================================================================= -- L 3181 -- ( GENERATING A HOMOGENEOUS SEQUENCE OF K0-ELEMENT EVENTS FROM A LARGE BLOCK OF EVENTS BY SELECTING SUBSETS OF ELEMENTS FROM AN ARBITRARILY LARGE SEQUENCE OF PAIRS OF ROWS ADJUSTED (MOD BMAX) VS. A LARGE SEQUENCE OF K0-ELEMENT COLUMNS WITH ELEMENTS ADJUSTED (MOD K0) ) STAT3181 READS A LARGE SEQUENCE OF K0-ELEMENT TEST EVENTS FROM STAT3181.INP, AN ARBITRARILY LARGE SEQUENCE OF K0-ELEMENT COLUMN- SELECTION VECTORS IN STAT3181.IN2 (AUTOMATICALLY ADJUSTED (MOD K0)), AND AN ARBITRARILY LARGE SEQUENCE OF 2-ELEMENT ROW-SELECTION VECTORS IN STAT3181.IN3, ALL UTILIZED TO CYCLICALLY GENERATE A SEQUENCE OF HOMOGENEOUS K0-ELEMENT EVENTS RECORDED IN STAT94.INP FOR FURTHER ANALYSIS. CF. ALSO STAT3178. ========================================================================= -- L 3182 -- ( GENERATING A HOMOGENEOUS SEQUENCE OF K0-ELEMENT EVENTS FROM A LARGE BLOCK OF EVENTS BY SELECTING SUBSETS OF ELEMENTS FROM AN ARBITRARILY LARGE SEQUENCE OF PAIRS OF ROWS ADJUSTED (MOD BMAX) VS. A LARGE SEQUENCE OF K0-ELEMENT COLUMNS WITH ELEMENTS ADJUSTED (MOD K0) ) STAT3182 READS A LARGE SEQUENCE OF K0-ELEMENT TEST EVENTS FROM STAT3182.INP, AN ARBITRARILY LARGE SEQUENCE OF K0-ELEMENT COLUMN- SELECTION VECTORS IN STAT3182.IN2 (AUTOMATICALLY ADJUSTED (MOD K0)), AND AN ARBITRARILY LARGE SEQUENCE OF 3-ELEMENT ROW-SELECTION VECTORS IN STAT3182.IN3, ALL UTILIZED TO CYCLICALLY GENERATE A SEQUENCE OF HOMOGENEOUS K0-ELEMENT EVENTS RECORDED IN STAT94.INP FOR FURTHER ANALYSIS. CF. ALSO STAT3178. ========================================================================= -- L 3183 -- ( GENERATING A HOMOGENEOUS SEQUENCE OF K0-ELEMENT EVENTS FROM A LARGE BLOCK OF EVENTS BY SELECTING SUBSETS OF ELEMENTS FROM AN ARBITRARILY LARGE SEQUENCE OF K0-ELEMENT ROWS ADJUSTED (MOD BMAX) VS. A LARGE SEQUENCE OF K0-ELEMENT COLUMNS WITH ELEMENTS ADJUSTED (MOD K0) ) STAT3183 READS A LARGE SEQUENCE OF K0-ELEMENT TEST EVENTS FROM STAT3183.INP, AN ARBITRARILY LARGE SEQUENCE OF K0-ELEMENT COLUMN- SELECTION VECTORS IN STAT3183.IN2 (AUTOMATICALLY ADJUSTED (MOD K0)), AND AN ARBITRARILY LARGE SEQUENCE OF K0-ELEMENT ROW-SELECTION VECTORS IN STAT3183.IN3, ALL UTILIZED TO CYCLICALLY GENERATE A SEQUENCE OF HOMOGENEOUS K0-ELEMENT EVENTS RECORDED IN STAT94.INP FOR FURTHER ANALYSIS. CF. ALSO STAT3178, STAT3181, AND STAT3182. ========================================================================= -- L 3184 -- MONITOR MATRIX GENERATOR XXIX FREQUENCY COUNTS FOR A SEQUENCE OF ELEMENTS < 1 , 2, ... , L0 > VS. A SEQUENCE OF STAR EVENTS ( VARIANT OF STAT1015 MEASURING PROPORTIONS OF OCCURRENCES OF EACH ELEMENT L OVER THE LAST Q0 STAR EVENTS VS. OVER ALL IMAX STAR EVENTS ) STAT3184 FILTERS EACH ELEMENT L FROM < 1, 2, ... , L0 > FOR WHICH THE PROPORTION OF OCCURRENCES OF L OVER THE LAST Q0 STAR EVENTS IS .LE. THE PROPORTION OF OCCURRENCES OF L OVER THE LAST IMAX STAR EVENTS. IT 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. STAT3184 IS A VARIANT OF STAT933, ANALYZING EACH FIXED ELEMENT OF T, RATHER THAN INTERSECTIONS OF K0-ELEMENT EVENTS VS. THE BASE SET OF STAR EVENTS, BUT FILTERING 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. STAT3184 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). STAT3184 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. STAT3184 IS A VARIANT OF STAT3172 AND STAT3175, BUT ANALYZES AND DETERMINES HIGH-PROBABILITY ELEMENTS, RATHER THAN EVENTS. SIGNIFICANTLY, STAT3184 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. IF D(L) .GE. 0 FOR ANY L, THEN L IS APPENDED AS A [*]-QUALIFYING ELEMENT IN PERM.OUT. THE SEQUENCE OF EXPECTED WEIGHTS, D(L), IS RECORDED IN PERM2.INP FOR FUTURE ANALYSIS, E.G., IN STAT3123 PERM2.INP, WHEN RANKING ELEMENTS IN DESCENDING ORDER OF D(L). CF. STAT3152 FOR ANALYSIS OF K0 SEPARATE COLUMNS OF STAR EVENTS. / / STAT3184 IS A VARIANT OF STAT1015. CF. ALSO STAT3172 AND STAT3175. [*]-QUALIFYING ELEMENTS OVER < 1, 2, ... , L0 > ARE DETERMINED, FILTERED, AND RECORDED IN PERM.OUT, RANKED IN DESCENDING OR ASCENDING ORDER OF INDEX DISPLACEMENT, IDELTA = IJTC - JNUM OVER STAR EVENTS (INDICES FOR TEST EVENTS HAVING 3 UP TO K0 INTERSECTION CARDINALITIES VS. THE COMPLETE SEQUENCE OF IMAX STAR EVENTS). ========================================================================= -- L 3185 -- MONITOR MATRIX GENERATOR XXXXX FREQUENCY COUNTS FOR ELEMENTS IN A LARGE SEQUENCE OF K0-ELEMENT EVENTS ( VARIANT AND EXTENDED VERSION OF STAT3175, MEASURING PROPORTIONS OF OCCURRENCES OF PRESCRIBED INTERSECTION CARDINALITIES OVER THE LAST Q0 STAR EVENTS VS. INTERSECTIONS OVER ALL IMAX STAR EVENTS ) XXVI 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. STAT3185 IS A VARIANT STAT2343 AND STAT3173, ANALYZING K0-ELEMENT TEST EVENTS RATHER THAN PERMUTATIONS, WITH EVENTS FILTERED FROM SUB-BLOCKS OF SIZE BMAX. IF THE EXPECTED FREQUENCY CADENCE = 1/K, THEN STAT3185 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. STAT3185 READS SUB-BLOCKS OF BMAX INPUT TEST EVENTS FROM STAT3185.INP AND UP TO 600 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 = L2 - L1, WHERE L2 = % OCCURRENCE OF 1"s OVER THE LAST Q0 DESIRED STAR EVENTS AND L1 = % OCCURRENCE OF 1"s OVER ALL JMAX STAR EVENTS ( WITH INDICES FOR TEST EVENTS HAVING 3 UP TO K0 INTERSECTION CARDINALITIES VS. THE COMPLETE SEQUENCE OF IMAX STAR EVENTS RECORDED IN BASE.INP ). STAT3185 IS A TEST EVENT VERSION OF STAT2349. CF. STAT2349 FOR THE PERMUTATION VERSION. CF. ALSO STAT2514, STAT2604 , STAT2606, AND STAT3149. STAT3185 IS A VARIANT/HYBRID OF STAT2343 AND STAT3172, COMPARING THE PERCENTAGE OF OCCURRING 1"s OVER THE LAST V0 STAR EVENT INDICES VS. THE PERCENTAGE OF OCCURRING 1"s OVER ALL JMAX STAR EVENT INDICES IN THE (0,1) MATRIX INDICATING THE THE EXISTENCE OF A PRESCRIBED NUMBER OF COMMON ELEMENTS BETWEEN A TEST EVENT AND A STAR EVENT. TEST EVENTS IN STAT94.INP ARE LISTED WITH THEIR CORRESPONDING IDELTA VALUES. CF. STAT3173 AND STAT3174, AND STAT3175. CF. ALSO STAT3172 FOR THE ELEMENT VERSION OF STAT3185. ========================================================================= -- L 3186 -- ( GENERATING K0-ELEMENT EVENTS FROM A FIXED BLOCK OF EVENTS BY THE CYCLICAL SELECTION OF FIXED SEQUENCES OF 3 CONSECUTIVE COLUMN ELEMENTS IN UNION WITH SCROLLING ELEMENTS IN THE COLUMN OF THE FINAL ELEMENT OF EACH SEQUENCE ) STAT3186 READS A LARGE SEQUENCE OF BMAX K0-ELEMENT TEST EVENTS FROM STAT3186.INP, WHICH IS UTILIZED TO GENERATE A SEQUENCE OF EVENTS CONSISTING OF K0-ELEMENT EVENTS FROM THE FIXED BLOCK OF EVENTS BY THE TRANSLATION OF ROW INDICES OF ELEMENTS IN SELECTED COLUMNS OF EACH EVENT BY Q0 DESIRED UNITS. GENERATED EVENTS ARE RECORDED IN STAT94.INP FOR FURTHER ANALYSIS. STAT3186 IS A VARIANT AND TERSE VERSION OF STAT3248. ========================================================================= -- L 3187 -- ( GENERATING K0-ELEMENT EVENTS FROM A FIXED BLOCK OF EVENTS BY THE CYCLICAL SELECTION OF FIXED SEQUENCES OF TRIADS OF UNIQUE ELEMENTS FROM COLUMNS 1 AND 2 OF CONSECUTIVE PAIRS OF EVENTS UNION PAIRS OF UNQUE ELEMENTS FROM COLUMN 4 AND PAIRS OF UNIQUE ELEMENTS FROM COLUMN 5 ) STAT3187 READS A SEQUENCE OF BMAX K0-ELEMENT TEST EVENTS FROM STAT3187.INP, WHICH IS UTILIZED TO GENERATE A SEQUENCE OF EVENTS CONSISTING OF K0-ELEMENT EVENTS FROM THE FIXED BLOCK OF EVENTS BY THE CYCLICAL SELECTION OF FIXED SEQUENCES OF TRIADS OF UNIQUE ELEMENTS FROM COLUMNS 1 AND 2 OF CONSECUTIVE PAIRS OF EVENTS UNION PAIRS OF UNQUE ELEMENTS FROM COLUMN 4 AND PAIRS OF UNIQUE ELEMENTS FROM COLUMN 5. GENERATED EVENTS ARE RECORDED IN STAT94.INP. STAT3187 IS A VARIANT OF STAT3188, GENERATING EVENTS OF SIZE K0 = 5, RATHER THAN K0 = 6. ========================================================================= -- L 3188 -- MONITOR MATRIX GENERATOR FILTERING THE TOP Q0 TEST EVENTS VIA CUMULATIVE FREQUENCY INCIDENCES III STAT3188 COMPARES A SEQUENCE OF K0-ELEMENT EVENTS WITH A FINITE BASE SET OF STAR EVENTS, DETERMINES THE NUMBER OF ELEMENTS IN EACH EVENT IN COMMON WITH EACH STAR EVENT, DETERMINES THE NUMBER OF INSTANCES OF INTERSECTION CARDINALITIES [ C1,C2,C3,C4 ] OVER JMAX STAR EVENTS, AND GENERATES A MONITOR MATRIX WHICH REFLECTS THE PATTERNS OF INTERSECTIONS FROM THE ABOVE SEQUENCE OF BASE SETS. K0-ELEMENT EVENTS ARE RANKED AND PRINTED ACCORDING TO INTERSECTION PERFORMANCE IN SET1.OUT AND SET2.OUT FOR FURTHER PROCESSING. STAT3188 IS A VARIANT OF STAT2868. THOSE TEST EVENTS ARE FILTERED AS [*]-QUALIFIED WHENEVER DELTA .GE. Q0 FOR SOME DESIRED LOWER BOUND, Q0, AND DELTA = THE CUMULATIVE FREQUENCY SUM OF EACH TEST EVENT VS. THE LAST JMAX STAR EVENTS OF BASE.INP. THIS PROCESS IS CYCLICALLY REPEATED VS. ALL TEST EVENTS IN STAT3188.INP. CF. ALSO STAT2868. A CUMULATIVE FILE OF [*]-QUALIFYING TEST EVENTS IS GENERATED INTO SET3.OUT. [*]-QUALIFYING EVENTS ARE FILTERED INTO SET1.OUT AND SET2.OUT. CF. ALSO SET4.OUT FOR [*]-QUALIFYING EVENTS. MOREOVER, STAT3188 IS THE DUAL OF STAT3189. ========================================================================= -- L 3189 -- MONITOR MATRIX GENERATOR FILTERING THE BOTTOM Q0 TEST EVENTS VIA CUMULATIVE FREQUENCY INCIDENCES IV STAT3189 COMPARES A SEQUENCE OF K0-ELEMENT EVENTS WITH A FINITE BASE SET OF STAR EVENTS, DETERMINES THE NUMBER OF ELEMENTS IN EACH EVENT IN COMMON WITH EACH STAR EVENT, DETERMINES THE NUMBER OF INSTANCES OF INTERSECTION CARDINALITIES [ C1,C2,C3,C4 ] OVER JMAX STAR EVENTS, AND GENERATES A MONITOR MATRIX WHICH REFLECTS THE PATTERNS OF INTERSECTIONS FROM THE ABOVE SEQUENCE OF BASE SETS. K0-ELEMENT EVENTS ARE RANKED AND PRINTED ACCORDING TO INTERSECTION PERFORMANCE IN SET1.OUT AND SET2.OUT FOR FURTHER PROCESSING. STAT3189 IS A VARIANT OF STAT2869. THOSE TEST EVENTS ARE FILTERED AS [*]-QUALIFIED WHENEVER DELTA .GE. Q0 FOR SOME DESIRED LOWER BOUND, Q0, AND DELTA = THE CUMULATIVE FREQUENCY SUM OF EACH TEST EVENT VS. THE LAST JMAX STAR EVENTS OF BASE.INP. THIS PROCESS IS CYCLICALLY REPEATED VS. ALL TEST EVENTS IN STAT3189.INP. CF. ALSO STAT2869. A CUMULATIVE FILE OF [*]-QUALIFYING TEST EVENTS IS GENERATED INTO SET3.OUT. [*]-QUALIFYING EVENTS ARE FILTERED INTO SET1.OUT AND SET2.OUT. CF. ALSO SET4.OUT FOR [*]-QUALIFYING EVENTS. MOREOVER, STAT3189 IS THE DUAL OF STAT3188. ========================================================================= -- L 3190 -- ( GENERATING K0-ELEMENT EVENTS FROM A FIXED BLOCK OF EVENTS BY THE CYCLICAL SELECTION OF FIXED SEQUENCES OF TRIADS OF UNIQUE ELEMENTS FROM COLUMNS 1 AND 2 OF CONSECUTIVE PAIRS OF EVENTS UNION TRIADS OF UNQUE ELEMENTS FROM COLUMNS 4 AND 5 ) II STAT3190 READS A SEQUENCE OF BMAX K0-ELEMENT TEST EVENTS FROM STAT3190.INP, WHICH IS UTILIZED TO GENERATE A SEQUENCE OF EVENTS CONSISTING OF K0-ELEMENT EVENTS FROM THE FIXED BLOCK OF EVENTS BY THE CYCLICAL SELECTION OF FIXED SEQUENCES OF TRIADS OF UNIQUE ELEMENTS FROM COLUMNS 1 AND 2 OF CONSECUTIVE PAIRS OF EVENTS UNION TRIADS OF UNIQUE ELEMENTS FROM COLUMNS 4 AND 5. GENERATED EVENTS ARE RECORDED IN STAT94.INP. STAT3190 IS A VARIANT OF STAT3187, GENERATING EVENTS OF SIZE K0 = 6, RATHER THAN K0 = 5. ========================================================================= -- L 3191 -- ( GENERATING K0-ELEMENT EVENTS FROM A FIXED BLOCK OF EVENTS BY THE CYCLICAL SELECTION OF FIXED SUBSEQUENCES OF ELEMENTS FROM EITHER ADJACENT OR ALTERNATING PAIRS OF EVENTS ) STAT3191 READS A SEQUENCE OF BMAX K0-ELEMENT TEST EVENTS FROM STAT3191.INP, WHICH IS UTILIZED TO GENERATE A SEQUENCE OF EVENTS CONSISTING OF K0-ELEMENT EVENTS FROM THE FIXED BLOCK OF EVENTS BY THE CYCLICAL SELECTION OF FIXED SUBSEQUENCES OF ELEMENTS FROM EITHER ADJACENT OR ALTERNATING PAIRS OF EVENTS. GENERATED TEST EVENTS ARE RECORDED IN STAT94.INP. STAT3191 IS A VARIANT OF STAT3190, GENERATING EVENTS OF SIZE K0 = 5 OR 6. ========================================================================= -- L 3192 -- ( DETERMINING AND LEXICOGRAPHICALLY RECORDING ALL UNIT'S AND TEN'S DIGITS REPRESENTED IN EACH K0-ELEMENT STAR EVENT ) STAT3192 READS A SEQUENCE OF IMAX K0-ELEMENT STAR EVENTS FROM BASE.INP, DETERMINING AND LEXICOGRAPHICALLY RECORDING ALL UNIT'S AND TEN'S DIGITS REPRESENTED IN THE ELEMENTS OF EACH K0-ELEMENT STAR EVENT. THE Q0-ELEMENT PERMUTATIONS MAY BE GENERATED INTO PERM.INP FOR FUTURE PROCESSING IN STAT3193. ========================================================================= -- L 3193 -- ( GENERATING ALL POSSIBLE BASE 10 ELEMENTS FROM EACH Q0-ELEMENT SEQUENCE OF LEXICOGRAPHICALLY ORDERED UNIT'S AND TEN'S DIGITS ) STAT3193 READS A SEQUENCE OF IMAX K0-ELEMENT STAR EVENTS FROM BASE.INP, GENERATING ALL POSSIBLE BASE 10 ELEMENTS FROM EACH Q0-ELEMENT SEQUENCE OF LEXICOGRAPHICALLY ORDERED UNIT'S AND TEN'S DIGITS LISTED IN PERM.INP. THE GENERATED Q(J)-ELEMENT PERMUTATIONS ARE RECORDED IN PERM.OUT FOR FUTURE ANALYSIS. CF. STAT3192 FOR THE GENERATION OF PERM.INP FOR STAT3193. ========================================================================= -- L 3194 -- ( GENERATING K0-ELEMENT EVENTS FROM A FIXED BLOCK OF EVENTS BY THE CYCLICAL SELECTION OF FIXED SUBSTRINGS OF ELEMENTS FROM ADJACENT PAIRS OF EVENTS ) II STAT3194 READS A SEQUENCE OF BMAX K0-ELEMENT TEST EVENTS FROM STAT3194.INP, WHICH IS UTILIZED TO GENERATE A SEQUENCE OF EVENTS CONSISTING OF K0-ELEMENT EVENTS FROM THE FIXED BLOCK OF EVENTS BY THE CYCLICAL SELECTION OF FIXED SUBSEQUENCES OF ELEMENTS FROM EITHER ADJACENT OR ALTERNATING PAIRS OF EVENTS. GENERATED TEST EVENTS ARE RECORDED IN STAT94.INP. STAT3194 IS A VARIANT OF STAT3191, GENERATING EVENTS OF EITHER SIZE K0 = 5 OR 6. HOWEVER, THE CONFIGURATIONS OF SUB-STRINGS FOR GENERATED EVENTS IS DIFFERENT. ========================================================================= -- L 3195 -- ( GENERATING K0-ELEMENT EVENTS FROM A FIXED BLOCK OF EVENTS BY THE CYCLICAL SELECTION OF FIXED 2-ELEMENT SUBSTRINGS OF ELEMENTS FROM ADJACENT OR ALTERNATING PAIRS OF EVENTS ) III STAT3195 READS A SEQUENCE OF BMAX K0-ELEMENT TEST EVENTS FROM STAT3195.INP, WHICH IS UTILIZED TO GENERATE A SEQUENCE OF EVENTS CONSISTING OF K0-ELEMENT EVENTS FROM THE FIXED BLOCK OF EVENTS BY THE CYCLICAL SELECTION OF FIXED 2-ELEMENT SUBSEQUENCES OF ELEMENTS FROM EITHER ADJACENT OR ALTERNATING PAIRS OF EVENTS. TEST EVENTS ARE RECORDED IN STAT94.INP. STAT3195 IS A VARIANT OF STAT3194, GENERATING EVENTS OF EITHER SIZE K0 = 5 OR 6. HOWEVER, THE CONFIGURATIONS OF SUB-STRINGS FOR GENERATED EVENTS IS DIFFERENT. ========================================================================= -- L 3196 -- RE-FORMATTING A SEQUENCE OF K0 2-ELEMENT STRINGS AS A SEQUENCE OF K0 SUB-PERMUTATION STRINGS WHICH MAY BE UTILIZED IN AS INPUT FOR STAT201, STAT361, OR STAT368 ) STAT3196 READS A SEQUENCE OF IMAX STAR EVENTS IN BASE.INP AND A SEQUENCE OF K0 2-ELEMENT STRINGS IN STAT3196.INP. THE STRINGS IN STAT3196.INP ARE RE-FORMATTED AS A SEQUENCE OF SUB-PERMUTATIONS WHICH MAY BE UTILIZED AS STAT3168.INP, STAT201.INP, STAT361.INP, OR STAT368.INP. CF. STAT2750 FOR THE GENERATION OF STAT3196.INP. ========================================================================= -- L 3197 -- ( GENERATING P0-ELEMENT AND Q0-ELEMENT SUBSTRINGS INTO DISTINCT FILES BY THE TRANSLATION OF SUB-PERMUTATIONS FROM A SEQUENCE OF F(J)-ELEMENT PERMUTATIONS AND UTILIZING THE TWO RESULTING FILES TO GENERATE BIPARTITE K0-ELEMENT EVENTS ) STAT3197 READS A SEQUENCE OF F(J)-ELEMENT PERMUTATIONS FROM PERM.INP, WHICH IS UTILIZED TO GENERATE P0-ELEMENT AND Q0-ELEMENT SUBSTRINGS INTO DISTINCT FILES BY THE TRANSLATION OF SUB-PERMUTATIONS FROM PERM.INP AND UTILIZING THE TWO RESULTING FILES TO GENERATE BIPARTITE K0-ELEMENT EVENTS OF SIZE K0 = 5, RECORDED IN STAT94.INP. STAT3197 IS A VARIANT OF STAT3198. ========================================================================= -- L 3198 -- ( GENERATING P0-ELEMENT AND Q0-ELEMENT SUBSTRINGS INTO DISTINCT FILES BY THE TRANSLATION OF SUB-PERMUTATIONS FROM A SEQUENCE OF F(J)-ELEMENT PERMUTATIONS AND UTILIZING THE TWO RESULTING FILES TO GENERATE BIPARTITE K0-ELEMENT EVENTS ) STAT3198 READS A SEQUENCE OF F(J)-ELEMENT PERMUTATIONS FROM PERM.INP, WHICH IS UTILIZED TO GENERATE P0-ELEMENT AND Q0-ELEMENT SUBSTRINGS INTO DISTINCT FILES BY THE TRANSLATION OF SUB-PERMUTATIONS FROM PERM.INP AND UTILIZING THE TWO RESULTING FILES TO GENERATE BIPARTITE K0-ELEMENT EVENTS OF SIZE K0 = 6, RECORDED IN STAT94.INP. STAT3198 IS A VARIANT OF STAT3197. ========================================================================= -- L 3199 -- ( GENERATING F(J)-ELEMENT SUB-PERMUTATIONS ALL OF WHICH HAVE ELEMENTS OCCURRING A PRESCRIBED NUMBER OF TIMES AFTER THE CURRENT NUMBER OF SKIPS OVER THE LAST IMAX STAR EVENTS ) STAT3199 READS A FIXED L0-ELEMENT PERMUTATION IN PERM.INP, GENERATING F(J)-ELEMENT SUB-PERMUTATIONS INTO PERM.OUT AND STAT3199.OUT, ALL OF WHICH HAVE ELEMENTS OCCURRING A PRESCRIBED NUMBER OF TIMES AFTER THE CURRENT NUMBER OF SKIPS OVER THE LAST IMAX STAR EVENTS. PERM.INP IS GENERATED BY STAT64 AS PERM.INP. CF. STAT64 AND STAT3086. ========================================================================= -- L 3200 -- ( GENERATING F(J)-ELEMENT SUB-PERMUTATIONS ALL OF WHICH HAVE ALL ELEMENTS OCCURRING AS AT LEAST ONE COMPONENT OF A VECTOR IN A SELECTED SEQUENCE DETERMINED BY THE ANALYST ) STAT3200 READS A FIXED L0-ELEMENT PERMUTATION IN PERM.INP, GENERATING F(J)-ELEMENT SUB-PERMUTATIONS INTO PERM.OUT AND STAT3200.OUT, ALL OF WHICH HAVE ALL ELEMENTS OCCURRING AS AT LEAST ONE COMPONENT OF A VECTOR IN A SELECTED SEQUENCE DETERMINED BY THE ANALYST. PERM.INP IS GENERATED BY STAT64 AS PERM.INP. STAT3200 IS A VARIANT OF STAT3199. THE VECTORS SELECTED BY THE ANALYST IN REAL TIME ARE RECORDED FOR REFERENCE REFERENCE IN STAT3200.OT4. CF. STAT64 AND STAT3086. ========================================================================= -- L 3201 -- ( DETERMINING DUAL AND NORMALLY DISTRIBUTED WEIGHTS OF A SEQUENCE OF ELEMENTS RELATIVE TO THE MAXIMUM WEIGHT ) READS A BLOCK OF BMAX SEQUENCES OF ELEMENTS < F(L) , L=1,...,L0 > FROM PERM.INP AND A SEQUENCE OF IMAX K0-ELEMENT STAR EVENTS FROM BASE.INP. THE WEIGHT OF EACH ELEMENT F(L) IS DETERMINED AS ( WT(L) = MAX_ - F(L) FOR EACH L, L = 1, 2, ... , L0 ). MOREOVER, THE SEQUENCE OF WEIGHTS FOR EACH INPUT PERMUTATION IS GENERATED AND RECORDED AS PERM.OUT FOR FUTURE ANALYSIS BY STAT3086. STAT3201 IS A VARIANT OF STAT3114 AND INPUT FUNCTIONAL VALUES IN PERM.INP ARE GENERIC AND NOT RESTRICTED TO FREQUENCIES OF ELEMENTS L. CF. PERM4.OUT WHICH IS GENERATED FOR ELEMENTS < L > RANKED IN DESCENDING ORDER OF CORRESPONDING < F(L) >. WEIGHTS, DUAL WEIGHTS, AND NORMALLY DISTRIBUTED WEIGHTS FOR L = 1 , 2, ... , L0 ARE RECORDED AS PERMUTATIONS IN PERM3.OUT FOR UTILIZATION AS PERM.INP IN STAT3018 OR OTHER ROUTINES. ========================================================================= -- L 3202 -- ( GENERATING K0-ELEMENT EVENTS FROM A FIXED BLOCK OF EVENTS BY THE CYCLICAL SELECTION AND TRANSLATION OF FIXED SUBSEQUENCES OF ELEMENTS FROM BIPARTITE PAIRS OF BMAX EVENTS ) STAT3202 READS A SEQUENCE OF BMAX K0-ELEMENT TEST EVENTS FROM STAT3202.INP AND AN ARBITRARY SEQUENCE OF K0-ELEMENT TRANSLATION VECTORS IN STAT3202.IN2, UTILIZED TO GENERATE A SEQUENCE OF EVENTS CONSISTING OF K0-ELEMENT EVENTS FROM THE FIXED BLOCK OF EVENTS BY THE CYCLICAL SELECTION OF FIXED SUBSEQUENCES OF BIPARTITE PAIRS OF ELEMENTS OVER BMAX EVENTS. TRANSLATED TEST EVENTS ARE RECORDED IN STAT94.INP. STAT3202 IS A VARIANT OF STAT3191, GENERATING EVENTS OF SIZE K0 = 5 OR 6. CF. STAT3121 FOR THE GENERATION OF STAT3202.INP AS STAT94.INP. ========================================================================= -- L 3203 -- ( GENERATING K0-ELEMENT EVENTS FROM A FIXED BLOCK OF EVENTS BY THE CYCLICAL SELECTION OF SCROLLING PAIRS OF SUBSEQUENCES OF ELEMENTS FROM COLUMNS 2, 3, AND 5 AND SCROLLING SINGLETON ELEMENTS FROM COLUMNS 1 AND 6 ) STAT3203 READS A SEQUENCE OF BMAX K0-ELEMENT TEST EVENTS FROM STAT3203.INP, WHICH IS UTILIZED TO GENERATE A SEQUENCE OF EVENTS CONSISTING OF K0-ELEMENT EVENTS FROM THE FIXED BLOCK OF EVENTS BY THE CYCLICAL SELECTION OF SCROLLING PAIRS OF SUBSEQUENCES OF ELEMENTS FROM COLUMNS 2, 3, AND 5 AND SCROLLING SINGLETON ELEMENTS FROM COLUMNS 1 AND 6. GENERATED K0-ELEMENT EVENTS ARE RECORDED IN STAT94.INP. STAT3203 IS A VARIANT OF STAT3202. ========================================================================= -- L 3204 -- ( GENERATING K0-ELEMENT EVENTS FROM A FIXED BLOCK OF EVENTS BY THE CYCLICAL SELECTION OF SCROLLING SINGLETON ELEMENTS FROM EACH ONE OF COLUMNS 1 , ... , K0 ) II STAT3204 READS A SEQUENCE OF BMAX K0-ELEMENT TEST EVENTS FROM STAT3204.INP, WHICH IS UTILIZED TO GENERATE A SEQUENCE OF EVENTS CONSISTING OF K0-ELEMENT EVENTS FROM THE FIXED BLOCK OF EVENTS BY THE CYCLICAL SELECTION OF SCROLLING SINGLETON ELEMENTS FROM ELEMENTS FROM EACH ONE OF COLUMNS 1 , ... , K0 . GENERATED K0-ELEMENT EVENTS ARE RECORDED IN STAT94.INP. STAT3204 IS A VARIANT OF STAT3203. ========================================================================= -- L 3205 -- ( GENERATING K0-ELEMENT EVENTS FROM A FIXED BLOCK OF EVENTS BY THE BIPARTITE SELECTION OF FIXED SUBSEQUENCES OF ELEMENTS FROM ALL BMAX PAIRS OF EVENTS OVER COLUMNS 1 AND K0 IN UNION WITH THE REMAINING K0-2 COLUMNS ) STAT3205 READS A SEQUENCE OF BMAX K0-ELEMENT TEST EVENTS FROM STAT3205.INP, WHICH IS UTILIZED TO GENERATE A SEQUENCE OF EVENTS CONSISTING OF K0-ELEMENT EVENTS FROM THE FIXED BLOCK OF EVENTS BY THE BIPARTITE SELECTION OF FIXED SUBSEQUENCES OF ELEMENTS FROM ALL BMAX PAIRS OF EVENTS OVER COLUMNS 1 AND K0 IN UNION WITH THE REMAINING K0-2 COLUMNS. TEST EVENTS GENERATED VIA THE PROCESS ARE RECORDED IN STAT94.INP. STAT3205 IS A VARIANT OF STAT3202, GENERATING EVENTS OF EITHER SIZE K0 = 5 OR 6. ========================================================================= -- L 3206 -- (GENERATING K0-ELEMENT EVENTS FROM A (BMAX x K0)-DIMENSIONAL BLOCK BY DETERMINING AND SELECTING THE MINIMUM, MEAN, AND MAXIMUM ELEMENTS FROM EACH COLUMN OF THE BMAX K0-ELEMENT EVENTS ) STAT3206 READS A (BMAX x K0)-DIMENSIONAL BLOCK OF EVENTS FROM STAT3206.INP, DETERMINING AND SELECTING THE MINIMUM, MEAN, AND MAXIMUM ELEMENTS FROM EACH COLUMN OF THE BMAX K0-ELEMENT EVENTS. THE LEADING OR 1ST ELEMENT MAY BE SELECTED AS NON-REPEATING. [*]-QUALIFYING EVENTS ARE RECORDED IN STAT94.INP. ========================================================================= -- L 3207 -- (GENERATING K0-ELEMENT EVENTS FROM A (BMAX x K0)-DIMENSIONAL BLOCK BY DETERMINING AND SELECTING THE MINIMUM, MEAN, AND MAXIMUM ELEMENTS FROM EACH SUB-SEQUENCE OF Q(J) ROWS FOR WHICH THE LEADING OR 1ST ELEMENT IS NON-REPEATING ) II STAT3207 READS A (BMAX x K0)-DIMENSIONAL BLOCK OF EVENTS FROM STAT3207.INP, DETERMINING AND SELECTING THE MINIMUM, MEAN, AND MAXIMUM ELEMENTS FROM EACH SUB-SEQUENCE OF Q(J) ROWS FOR WHICH THE LEADING OR 1ST ELEMENT IS NON-REPEATING. [*]-QUALIFYING EVENTS ARE RECORDED IN STAT94.INP. STAT3207 IS A VARIANT OF STAT3206. ========================================================================= -- L 3208 -- TRANSLATING A SEQUENCE OF K0-ELEMENT EVENTS REPRESENTING MEANS IN K0 RESPECTIVE COLUMNS AS A SEQUENCE OF K0 SUB-PERMUTATION STRINGS WHICH MAY BE UTILIZED AS INPUT FOR STAT201, STAT361, STAT368, STAT3112, STAT3131 OR STAT3168 ) STAT3208 READS A SEQUENCE OF IMAX STAR EVENTS IN BASE.INP AND A SEQUENCE OF K0-ELEMENT EVENTS IN STAT3208.INP, REPRESENTING MEANS IN K0 RESPECTIVE COLUMNS. THE EVENTS IN STAT3208.INP ARE TRANSLATED AS A SEQUENCE OF SUB-PERMUTATIONS WHICH MAY BE UTILIZED AS STAT3168.INP, STAT201.INP, STAT361.INP, STAT368.INP, OR AS PERM.INP IN STAT3112, STAT3131, OR STAT3168. CF. STAT3106 FOR THE GENERATION OF STAT3208.INP. ========================================================================= -- L 3209 -- RE-FORMATTING A SEQUENCE OF K0 Q0-ELEMENT PERMUTIONS AS K0 V0-ELEMENT SUB-PERMUTATION STRINGS WHICH MAY BE UTILIZED AS INPUT STRINGS FOR STAT201, STAT361, STAT368, STAT3112, STAT3131, OR STAT3168 ) STAT3209 READS A SEQUENCE OF BMAX TRANSLATION VECTORS IN STAT3209.INP, A SEQUENCE OF IMAX STAR EVENTS IN BASE.INP, AND A SEQUENCE OF K0 Q0-ELEMENT PERMUTATIONS IN PERM.INP, REPRESENTING TRANSLATIONS FROM MEANS IN K0 RESPECTIVE COLUMNS OF STAT3208,INP. THE K0 PERMUTATIONS IN PERM.INP ARE THEN RE-FORMATTED INTO V0-ELEMENT SUB-PERMUTATION STRINGS WHICH MAY BE UTILIZED AS INPUT STRINGS FOR STAT201, STAT361, STAT368, STAT3112, STAT3131, OR STAT3168. CF. STAT3108 FOR THE GENERATION OF PERM.INP. ========================================================================= -- L 3210 -- RE-FORMATTING A SEQUENCE OF K0 Q0-ELEMENT PERMUTIONS AS K0 V0-ELEMENT SUB-PERMUTATION STRINGS WHICH MAY BE UTILIZED AS INPUT CONTIGUOUS STRINGS FOR STAT201, STAT361, STAT368, STAT3112, STAT3131, OR STAT3168 ) II STAT3210 READS A SEQUENCE OF BMAX TRANSLATION VECTORS IN STAT3210.INP, A SEQUENCE OF IMAX STAR EVENTS IN BASE.INP, AND A SEQUENCE OF K0 Q0-ELEMENT PERMUTATIONS IN PERM.INP, REPRESENTING TRANSLATIONS FROM MEANS IN K0 RESPECTIVE COLUMNS OF STAT3208,INP. THE K0 PERMUTATIONS IN PERM.INP ARE THEN RE-FORMATTED INTO V0-ELEMENT SUB-PERMUTATION STRINGS WHICH MAY BE UTILIZED AS INPUT STRINGS FOR STAT201, STAT361, STAT368, STAT3112, STAT3131, OR STAT3168. CF. STAT3108 FOR THE GENERATION OF PERM.INP. STAT3210 IS A VARIANT OF STAT3209, BUT GENERATED SUB-PERMUTATIONS ARE CONTIGUOUS STRINGS. ========================================================================= -- L 3211 -- ( GENERATING K0-ELEMENT EVENTS FROM A FIXED BLOCK OF EVENTS BY THE CYCLICAL SELECTION OF FIXED SUBSEQUENCES OF ELEMENTS FROM CONSECUTIVE PAIRS OF EVENTS OVER SEQUENCES OF 3-ELEMENT DISTINCT COLUMNS PRE-SELECTED BY THE ANALYST ) STAT3211 READS A SEQUENCE OF CMAX 3-ELEMENT DISTINCT COLUMNS FROM STAT3211.IN2 AND A SEQUENCE OF BMAX K0-ELEMENT TEST EVENTS FROM STAT3211.INP, WHICH IS UTILIZED TO GENERATE A SEQUENCE OF EVENTS CONSISTING OF K0-ELEMENT EVENTS FROM THE FIXED BLOCK OF EVENTS BY THE CYCLICAL SELECTION OF FIXED SUBSEQUENCES OF ELEMENTS FROM CONSECUTIVE PAIRS OF EVENTS OVER THE SEQUENCES OF 3-ELEMENT COLUMNS. GENERATED TEST EVENTS ARE RECORDED IN STAT94.INP. STAT3211 IS A VARIANT OF STAT3202, GENERATING EVENTS OF SIZE K0 = 5 OR 6. CF. STAT3121 FOR THE GENERATION OF STAT3211.INP AS STAT94.INP. ========================================================================= -- L 3212 -- ( GENERATING LEXICOGRAPHIC K0-ELEMENT EVENTS FROM EACH ENUM(I)- ELEMENT PERMUTATION OF A FIXED BLOCK OF K0 PERMUTATIONS BY SELECTING EVENTS WHICH HAVE INDICES CONGRUENT TO 1 (MOD M) WHERE M = THE PRODUCT OF THE ENUM(I), FOR I = 1, 2, ... , K0 ) STAT3212 READS A SEQUENCE OF PERMUTATIONS < P(L,J),J=1,...,ENUM(L) >, L = 1,...,K0, FROM PERM.INP AND A SEQUENCE OF BMAX K0-ELEMENT TRANSLATION VECTORS FROM STAT3212.INP, GENERATING LEXICOGRAPHIC K0-ELEMENT TRANSLATED EVENTS FROM EACH Q0-ELEMENT PERM IN PERM.INP. THE Q0-ELEMENT PERMUTATIONS MAY BE GENERATED IN STAT2232 , STAT1016, ET AL. STAT3212 IS A VARIANT OF STAT3121. HOWEVER, EACH ONE OF K0 ELEMENTS PER EVENT IS SELECTED FROM ENUM(I) POSSIBLE ELEMENTS OVER THE K0 INPUT PERMUTATIONS IN PERM.INP FOR WHICH THE CYCLE INDEX IS CONGRUENT (MOD 1) TO THE PRODUCT OF THE ENUM(I), FOR EACH I = 1, 2, ... , K0. CF. STAT3121, STAT3155, STAT3168, STAT543, STAT618, STAT915, STAT691, STAT2213, STAT2223, STAT2312, AND STAT2233. STAT3212 IS ALSO A VARIANT AND DERIVATIVE OF STAT3032. HOWEVER THE INTEGER , M , TO WHICH THE INDEX OF EACH GENERATED TEST EVENT WILL BE CONGRUENT ( MOD M ) OVER THE BLOCK OF K0 INPUT PERMUTATIONS IS AUTOMATICALLY DETERMINED BY THE ROUTINE IN REAL TIME, RATHER THAN BEING ENTERED BY THE ANALYST. CF. ALSO STAT3032 AND STAT1015. ========================================================================= -- L 3213 -- ( RANKING THE IMAX ELEMENTS FROM THE FUNCTIONAL VALUES OR WEIGHTS OF EACH PERMUTATION IN EACH ONE OF K0 DISTINCT STAR EVENT COLUMNS AS A SEQUENCE OM EITHER DESCENDING OF ASCENDING ORDER OF FUNCTIONAL VALUES OR WEIGHTS OF ELEMENTS OVER ALL L IN , L = 1 , ... , L0 ) READS AN (IMAX x K0)-DIMENSIONAL BLOCK OF STAR EVENTS FROM BASE.INP AND K0 BLOCKS OF L0 WEIGHTS , , L = 1, 2, ... , L0 IN PERM.INP. THE IMAX ELEMENTS FROM EACH PERMUTATION IN THE K0 COLUMNS OF BASE.INP ARE THEN RANKED IN EITHER DESCENDING OR ASCENDING ORDER OF WEIGHTS OR FUNCTIONAL VALUES OF ELEMENTS L FROM , L = 1 , ... , L0 ) AND RECORDED IN PERM.OUT FOR FURTHER ANALYSIS. STAT3213 IS A VARIANT OF STAT3213. ========================================================================= -- L 3214 -- ( TRANSLATING ELEMENTS OF AN ENTIRE (K0 x F(J) )-DIMENSIONAL BLOCK BY EACH ELEMENT IN A SELECTED RANGE, [ M1,M2 ] , GENERATING M2-M1+1 ( K0 x F(J) )-DIMENSIONAL BLOCKS ) READS A (K0 x F(J)-DIMENSIONAL BLOCK OF PERMUTATIONS FROM PERM.INP AND TRANSLATES EACH ELEMENT OF THE ENTIRE BLOCK BY ELEMENTS IN A DESIRED RANGE , [ M1,M2 ] . THE RESULTING BLOCKS ARE RECORDED IN PERM.OUT FOR FUTURE PROCESSING, E.G., IN STAT3212. PERM.INP MAY BE GENERATED BY STAT3213 AS PERM.OUT OR IN STAT2771 AS PERM.INP. ========================================================================= -- L 3215 -- ( GENERATING [ n C k0 ] k0-ELEMENT EVENTS FROM PERMUTATIONS OF SIZE n ) X READS A SEQUENCE OF PNUM PERMUTATIONS OF VARYING SIZES AND GENERATES ( n C k0 ) k0-ELEMENT EVENTS FROM EACH PERMUTATION OF SIZE n , WHERE k0 AND n ARE POSITIVE INTEGERS, k0 < n < 81. MOREOVER, THE ROUTINE FILTERS THE GENERATED EVENTS, BY SELECTING TEST EVENTS FROM THE SEQUENCE, SKIPPING INDICES OF SIZE J FOR J = 1,2, ... , 15. STAT3215 IS A VARIANT OF STAT543, BUT EVENTS ARE NOT SEQUENTIALLY GENERATED FROM THE SEQUENCE OF PERMUTATIONS. CF. STAT1015 OR STAT64 FOR THE GENERATION OF PERM.INP. CF. ALSO STAT1401, STAT2144, AND STAT2233. A CUMULATIVE FILE OF [*]-QUALIFYING TEST EVENTS IS GENERATED INTO SET3.OUT. [*]-QUALIFYING EVENTS ARE FILTERED INTO STAT94.INP. CF. ALSO STAT1401, STAT2144. STAT2144, STAT2213, STAT2233, STAT1365, STAT1401, STAT1781, STAT1828, STAT2248, STAT2250, STAT2312, STAT1616, STAT2223, AND STAT2501. ========================================================================= -- L 3216 -- ( TRANSLATING ELEMENTS OF AN ENTIRE (BMAX x K0) )-DIMENSIONAL BLOCK OF EVENTS BY EACH ELEMENT IN A SELECTED RANGE, [ M1,M2 ] , GENERATING M2-M1+1 ( CMAX x K0 )-DIMENSIONAL BLOCKS OF EVENTS ) READS A (BMAX x K0)-DIMENSIONAL BLOCK OF EVENTS FROM STAT3216.INP AND TRANSLATES EACH ELEMENT OF THE ENTIRE BLOCK BY ELEMENTS IN A DESIRED RANGE , [ M1,M2 ] . THE RESULTING BLOCKS ARE RECORDED IN STAT94.INP FOR FUTURE PROCESSING, E.G., IN STAT3212. STAT3216.INP MAY BE A SEQUENCE OF K0-ELEMENT STAR EVENTS FOR RANDOM GENERATION OF K0-ELEMENT TEST EVENTS. STAT3216 IS A VARIANT TEST EVENT VERSION OF STAT3214. ========================================================================= -- L 3217 -- ( GENERATING K0-ELEMENT EVENTS FROM A FIXED BLOCK OF EVENTS BY THE CYCLICAL SELECTION AND TRANSLATION OF FIXED SUBSEQUENCES OF ELEMENTS FROM CONSECUTIVE PAIRS OF EVENTS ) II STAT3217 READS A SEQUENCE OF BMAX K0-ELEMENT TEST EVENTS FROM STAT3217.INP AND AN ARBITRARY SEQUENCE OF K0-ELEMENT TRANSLATION VECTORS IN STAT3217.IN2, UTILIZED TO GENERATE A SEQUENCE OF EVENTS CONSISTING OF K0-ELEMENT EVENTS FROM THE FIXED BLOCK OF EVENTS BY THE CYCLICAL SELECTION OF FIXED SUBSEQUENCES OF ELEMENTS FROM CONSECUTIVE PAIRS OF EVENTS. TRANSLATED TEST EVENTS ARE RECORDED IN STAT94.INP. STAT3217 IS A VARIANT OF STAT3202, GENERATING EVENTS OF SIZE K0 = 5 OR 6 IN A MORE TERSE FASHION. CF., E.G., STAT3121 FOR THE GENERATION OF STAT3217.INP AS STAT94.INP. ========================================================================= -- L 3218 -- RETERMINING DUALS OF THE WEIGHTS OF EACH ELEMENT L FROM A SEQUENCE OF FUNCTIONAL VALUES, < F(L) > , L = 1, 2, ... , L0 , BASED UPON THE DEVIATIONS OF EACH F(L) FROM THE MAX OF ( < F(L) > , L = 1, ... ,L0 ) II STAT3218 READS A BLOCK OF IMAX STAR EVENTS FROM BASE.INP ON THE ELEMENTS IN , L = 1, 2, ... , L0 AND A SEQUENCE OF L0 FUNCTIONAL VALUES, ( ,L = 1, ... , L0 ) FROM PERM.INP. THE DUAL WEIGHT OF EACH ELEMENT L IS DETERMINED FROM < F(L) > , WHERE WT(L) = KMAX - F(L) , WHERE KMAX IS THE MAXIMUM VALUE OF F(L) COMPUTED OVER ALL VALUES OF L = 1, ... , L0 . THE WEIGHTS, ( < WT(L) > , L = 1, ... , L0 ) ARE RECORDED IN PERM.OUT FOR FURTHER ANALYSIS IN OTHER ROUTINES, E.G., STAT3086. THIS PROCESS IS CYCLICALLY REPEATED FOR ANY DESIRED NUMBER OF INPUT PERMUTATIONS IN PERM.INP. STAT3218 IS A VARIANT OF STAT3092. ========================================================================= -- L 3219 -- MONITOR MATRIX GENERATOR XXIX FREQUENCY COUNTS FOR A SEQUENCE OF ELEMENTS < 1 , 2, ... , L0 > VS. A SEQUENCE OF STAR EVENTS ( VARIANT OF STAT1015 ) / / ( WITH ANALYSIS OVER K0 SEPARATE AND DISTINCT COLUMNS ) / / 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 COMPUTED VECTORS IN PERM.OUT, WHICH ARE HIGHLY LIKELY TO OCCUR IN THE NEXT K0-ELEMENT STAR EVENT OF BASE.INP. STAT3219 IS A VARIANT OF STAT933, ANALYZING EACH FIXED ELEMENT OF T, RATHER THAN INTERSECTIONS OF K0-ELEMENT EVENTS VS. THE BASE SET OF STAR EVENTS. COLUMNS ARE ANALIZED, SEPARATELY. STAT3219 READS UP TO 600 STAR EVENTS IN BASE.INP AND ANALYZES ELEMENTS IN THE RANGE < 1, ... , L0 >, WHERE THE MAXIMUM VALUE OF L0 IS 59. 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). STAT3219 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. STAT3219 IS A VARIANT OF STAT1015, BUT ANALYSIS IS EXECUTED OVER K0 SEPARATE AND DISTINCT COLUMNS FOR HIGH-PROBABILITY ELEMENTS. SIGNIFICANTLY, STAT3219 GENERATES PERM.OUT FOR FURTHER PROCESSING. CF. ALSO STAT3152 FOR ANALYSIS OF K0 SEPARATE COLUMNS OF STAR EVENTS. ========================================================================= -- L 3220 -- ( GENERATING K0-ELEMENT EVENTS FROM A FIXED BLOCK OF PERMUTATIONS BY THE CYCLICAL SELECTION OF FIXED SUBSEQUENCES OF ELEMENTS FROM BIPARTITE PAIRS WITH INDICES SEPARATED BY VARIABLE DISTANCES ) STAT3220 READS A SEQUENCE OF PNUM ENUM(I)-ELEMENT PERMUTATIONS FROM PERM.INP AND CYCLICALLY GENERATES A SEQUENCE OF K0-ELEMENT EVENTS CONSISTING OF K0-ELEMENT EVENTS FROM THE FIXED BLOCK OF EVENTS BY THE SELECTION OF FIXED SUBSEQUENCES OF ELEMENTS FROM BIPARTITE PAIRS WITH INDICES SEPARATED BY VARIABLE DISTANCES. TEST EVENTS ARE RECORDED AS STAT94.INP. STAT3220 IS A VARIANT OF STAT3217, GENERATING EVENTS OF SIZE K0 = 5 OR 6 FROM PERMUTATIONS. CF., E.G., STAT3219 FOR THE GENERATION OF PERM.INP AS PERM.OUT. ========================================================================= -- L 3221 -- ( GENERATING Q0-ELEMENT SUB-PERMUTATIONS FROM ALTERNATING Q0-ELEMENT TAILS OF THE PERMUTATIONS OF A ( K0 x ENUM(I) - DIMENSIONAL BLOCK ) STAT3221 READS A SEQUENCE OF K0 ENUM(I)-ELEMENT PERMUTATIONS FROM PERM.INP AND SELECTIVELY GENERATES A SEQUENCE OF Q0-ELEMENT SUB-PERMUTATIONS AS PERM.OUT OR STAT3168.INP VIA A SEQUENCE OF C1 K0-ELEMENT TAIL INDEX VECTORS IN STAT3221.IN2 AND A SEQUENCE OF C2 K0-ELEMENT TRANSLATION VECTORS IN STAT3221.IN3. CF. STAT3219 FOR THE GENERATION OF PERM.INP AS PERM.OUT. ========================================================================= -- L 3222 -- ( GENERATING K0-ELEMENT EVENTS FROM A FIXED BLOCK OF EVENTS BY THE CYCLICAL SELECTION AND TRANSLATION OF FIXED SUBSEQUENCES OF ELEMENTS FROM CONSECUTIVE PAIRS OF EVENTS ) III STAT3222 READS A SEQUENCE OF BMAX K0-ELEMENT TEST EVENTS FROM STAT3222.INP AND AN ARBITRARY SEQUENCE OF K0-ELEMENT TRANSLATION VECTORS IN STAT3222.IN2, UTILIZED TO GENERATE A SEQUENCE OF EVENTS CONSISTING OF K0-ELEMENT EVENTS FROM THE FIXED BLOCK OF EVENTS BY THE CYCLICAL SELECTION OF FIXED SUBSEQUENCES OF ELEMENTS FROM CONSECUTIVE PAIRS OF EVENTS. TRANSLATED TEST EVENTS ARE RECORDED IN STAT94.INP. STAT3222 IS A VARIANT OF STAT3217, GENERATING EVENTS OF SIZE K0 = 5 OR 6 IN A MORE TERSE FASHION. CF., E.G., STAT3121 FOR THE GENERATION OF STAT3222.INP AS STAT94.INP OR CF. STAT201 FOR THE GENERATION OF STAT3222.INP AS STAT94.INP. ========================================================================= -- L 3223 -- ( GENERATING K0-ELEMENT EVENTS FROM A FIXED BLOCK OF PERMUTATIONS BY THE TRANSPOSITION OF A ( K0 x Q0 )-DIMENSIONAL BLOCK FROM PERM.INP INTO A ( Q0 x K0 )-DIMENSIONAL BLOCK IN STAT94.INP AND BY TRANSPOSING SELECTED PAIRS OF ELEMENTS IN EACH ONE OF K0 COLUMNS IN STAT94.INP VIA A SEQUENCE OF K0 2-DIMENSIONAL ELEMENT- INTERCHANGE VECTORS ) STAT3223 READS A SEQUENCE OF ( K0 x Q0 ) - DIMENSIONAL BLOCKS OF PERMUTATIONS FROM PERM.INP AND A SEQUENCE OF ( K0 x 2 )-DIMENSIONAL BLOCKS OF TRANSLATION VECTORS FROM STAT3223.INP. THE PERMUTATIONS FROM PERM.INP ARE THEN TRANSPOSED INTO ( Q0 x K0 ) - DIMENSIONAL BLOCKS OF EVENTS. SUBSEQUENTLY, SELECTED PAIRS OF ELEMENTS IN EACH ONE OF THE K0 COLUMNS OF THE ( Q0 x K0 )-DIMENSIONAL BLOCK ARE INTERCHANGED, RESULTING IN Q0 K0-ELEMENT EVENTS PER BLOCK IN STAT94.INP. STAT3223 IS A VARIANT OF STAT3220, GENERATING EVENTS OF SIZE K0 = 5 OR 6 FROM PERMUTATIONS. CF., E.G., STAT3221 FOR THE GENERATION OF PERM.INP AS STAT3168.INP. ========================================================================= -- L 3224 -- ( GENERATING ENUM(K)-ELEMENT SUBSTRINGS FROM EACH PERMUTATION IN A ( K0 x L0 ) - DIMENSIONAL BLOCK OF PERMUTATIONS BY THE SELECTION OF A DISPLACEMENT, DIRECTION FROM, AND INDEX OF A SELECTED ELEMENT OF ROW K, FOR K = 1 , ... , K0 ) STAT3224 READS A (K0 x L0 ) - DIMENSIONAL BLOCK OF PERMUTATIONS IN IN PERM.INP (PRE-GENERATED, E.G., AS PERM.INP IN STAT2771, AND GENERATES, FOR K = 1, ... , K0 , ENUM(K)-ELEMENT SUBSTRINGS VIA A SEQUENCE OF SELECTED VECTORS, < DISPL, DIR, NDX > , REPRESENTING THE DISPLACEMENT, DIRECTION FROM, AND INDEX OF A SELECTED ELEMENT OF ROW K. THE RESULTING BLOCK OF PERMUTATIONS IS RECORDED AS, PERM.OUT, A ( K0 x ENUM(K) ) - DIMENSIONAL BLOCK TO BE UTILIZED AS PERM.INP IN STAT3112 FOR GENERATING K0-ELEMENT ELEMENT EVENTS. ========================================================================= -- L 3225 -- ( GENERATING K0-ELEMENT EVENTS FROM A FIXED BLOCK OF EVENTS BY THE CYCLICAL SELECTION AND TRANSLATION OF FIXED SUBSEQUENCES OF ELEMENTS FROM CONSECUTIVE PAIRS OF EVENTS WITH REVERSED ORDERING OF ELEMENTS OVER THE BMAX ROWS OF COLUMN 1 ) IV STAT3225 READS A SEQUENCE OF BMAX K0-ELEMENT TEST EVENTS FROM STAT3225.INP AND AN ARBITRARY SEQUENCE OF K0-ELEMENT TRANSLATION VECTORS IN STAT3225.IN2, UTILIZED TO GENERATE A SEQUENCE OF EVENTS CONSISTING OF K0-ELEMENT EVENTS FROM THE FIXED BLOCK OF EVENTS BY THE CYCLICAL SELECTION OF FIXED SUBSEQUENCES OF ELEMENTS FROM CONSECUTIVE PAIRS OF EVENTS WITH REVERSED ORDERING OF ELEMENTS OVER THE BMAX ROWS OF COLUMN 1. TRANSLATED TEST EVENTS ARE RECORDED IN STAT94.INP. STAT3225 IS A VARIANT OF STAT3222, GENERATING EVENTS OF SIZE K0 = 5 OR 6 IN A MORE TERSE FASHION. CF., E.G., STAT3168 FOR THE GENERATION OF STAT3225.INP AS STAT94.INP OR CF. STAT201 FOR THE GENERATION OF STAT3225.INP AS STAT94.INP. ========================================================================= -- L 3226 -- ( GENERATING ENUM(K)-ELEMENT SUBSTRINGS FROM EACH PERMUTATION IN A ( K0 x ENUM(K) ) - DIMENSIONAL BLOCK OF PERMUTATIONS BY THE SELECTION OF A SUBSTRING LENGTH, Q0, AND SUBSTRING LOCATION, LOC, FOR SELECTED ELEMENTS FROM EACH ROW K , FOR K = 1 , ... , K0 ) II STAT3226 READS A (K0 x ENUM(K)) - DIMENSIONAL BLOCK OF PERMUTATIONS IN IN PERM.INP (PRE-GENERATED, E.G., AS PERM.INP IN STAT2771, AND GENERATES, FOR K = 1, ... , K0 , ENUM(K)-ELEMENT SUBSTRINGS VIA A SEQUENCE OF SELECTED VECTORS, < DISPL, DIR, NDX > , REPRESENTING THE DISPLACEMENT, DIRECTION FROM, AND INDEX OF A SELECTED ELEMENT OF ROW K. THE RESULTING BLOCK OF PERMUTATIONS IS RECORDED AS, PERM.OUT, A ( K0 x ENUM(K) ) - DIMENSIONAL BLOCK TO BE UTILIZED AS PERM.INP IN STAT3112 FOR GENERATING K0-ELEMENT ELEMENT EVENTS. STAT3226 IS A VARIANT OF STAT3224. PERM.OUT, GENERATED BY STAT2750, MAY BE UTILIZED AS PERM.INP IN STAT3226. ========================================================================= -- L 3227 -- ( FILTERING K0-ELEMENT EVENTS FROM AN ARBITRARILY LARGE SEQUENCE FOR WHICH [ W0,W1 ] ELEMENTS LIE IN THE UNION OF K0 SEPARATE COLUMNS OF A FIXED ( BMAX x K0 - DIMENSIONAL BLOCK OF TEST EVENTS ) READS A LARGE SET OF K0-ELEMENT EVENTS FROM STAT3227.INP, A FIXED ( BMAX x K0 ) - DIMENSIONAL BLOCK OF TEST EVENTS FROM STAT3227.IN2, AND A SEQUENCE OF IMAX K0-ELEMENT K0-ELEMENT STAR EVENTS FROM BASE.INP. TEST EVENTS ARE FILTERED FROM STAT3227.INP FOR WHICH [ W0,W1 ] ELEMENTS LIE IN THE UNION OF K0 SEPARATE COLUMNS FROM STAT3227.IN2. [*]-QUALIFYING TEST EVENTS ARE RECORDED IN STAT94.INP. CF. ALSO STAT3228. ========================================================================= -- L 3228 -- ( FILTERING K0-ELEMENT EVENTS FROM AN ARBITRARILY LARGE SEQUENCE FOR WHICH [ W0,W1 ] ELEMENTS LIE IN THE UNION OF K0 SEPARATE COLUMNS OF A FIXED ( K0 x ENUM(I) ) - DIMENSIONAL BLOCK OF PERMUTATIONS ) READS A LARGE SET OF K0-ELEMENT EVENTS FROM STAT3228.INP, A FIXED ( K0 x ENUM(I) ) - DIMENSIONAL BLOCK OF PERMUTATIONS FROM STAT3228.IN2, AND A SEQUENCE OF IMAX K0-ELEMENT K0-ELEMENT STAR EVENTS FROM BASE.INP. TEST EVENTS ARE FILTERED FROM STAT3228.INP FOR WHICH [ W0,W1 ] ELEMENTS LIE IN THE UNION OF K0 SEPARATE ROWS FROM PERM.INP. [*]-QUALIFYING TEST EVENTS ARE RECORDED IN STAT94.INP. STAT3228 IS A VARIANT OF STAT3227. ========================================================================= -- L 3229 -- ( DETERMINING A SEQUENCE OF INTERSECTION CARDINALITIES BETWEEN THE Kth AND THE (K+1)-st K0-ELEMET STAR EVENTS ) READS A SEQUENCE OF IMAX K0-ELEMENT STAR EVENTS FROM BASE.INP, DETERMINES THE INTERSECTION CARDINALITY BETWEEN THE Kth AND THE (K+1)-st K0-ELEMENT STAR EVENTS OVER THE ENTIRE SEQUENCE OF STAR EVENTS. THE RESULTING FILE IS RECORDED AS STAT3230.INP FOR FURTHER ANALYSIS. THE NUMBER OF STAR EVENT INDICES PROCESSED IS QMAX, SELECTED BY THE ANALYST. ========================================================================= -- L 3230 -- ( DETERMINES THE OCCURRENCE CADENCE OF EACH ELEMENT OF A SEQUENCE OF FUNCTIONAL VALUES OF IMAX STAR EVENTS AND INDICATES WHICH FUNCTIONAL VALUES ARE MOST LIKELY TO OCCUR FOR THE NEXT STAR EVENT ) STAT3230 READS A SEQUENCE OF IMAX K0-ELEMENT STAR EVENTS WITH CORRESPONDING FUNCTIONAL VALUES, < F(M), M = 1, ... , IMAX > FROM STAT3230.INP ( PRE-GENERATED BY STAT3229 AS STAT3230.INP) AND DETERMINES THE OCCURRENCE CADENCE OF EACH VALUE , F(M) , AS WELL AS A RANGE OF VALUES OF F(M) MOST LIKELY TO OCCUR FOR THE NEXT STAR EVENT. STAT3230 IS A VARIANT OF STAT2750. CF. STAT3229 FOR THE GENERATION OF STAT3230.INP. ========================================================================= -- L 3231 -- ( SELECTS A SUBSEQUENCE OF CMAX ELEMENTS FROM THE SEQUENCE , L = 1 , ... , L0 RESIDING IN A FIXED BLOCK OF EVENTS FOR WHICH EACH ELEMENT HAS FUNCTIONAL VALUES RESIDING IN A SELECTED VARIABLE SET OF VALUES ) STAT3231 READS A SEQUENCE OF CMAX K0-ELEMENT EVENTS IN STAT3231.INP HAVING CORRESPONDING FUNCTIONAL VALUES, < F(M), M = 1, ... , CMAX > ( PRE-GENERATED BY STAT3068 AS STAT3069.IN2 ) AND SELECTS THOSE ELEMENTS HAVING FUNCTIONAL VALUES RESIDING IN A SELECTED VARIABLE SET OF VALUES AND RECORDED IN PERM.INP FOR ANALYSIS IN STAT3121 OR ANOTHER ROUTINE. STAT3231 ALSO GENERATES PERM.INP FOR FURTHER ANALYSIS IN STAT3121 AS PERM.INP. ========================================================================= -- L 3232 -- ( GENERATING K0-ELEMENT EVENTS FROM A FIXED BLOCK OF EVENTS BY THE CYCLICAL SELECTION AND TRANSLATION OF FIXED SUBSEQUENCES OF ELEMENTS FROM CONSECUTIVE PAIRS OF EVENTS ) IV STAT3232 READS A SEQUENCE OF BMAX K0-ELEMENT TEST EVENTS FROM STAT3232.INP AND AN ARBITRARY SEQUENCE OF K0-ELEMENT TRANSLATION VECTORS IN STAT3232.IN2, UTILIZED TO GENERATE A SEQUENCE OF EVENTS CONSISTING OF K0-ELEMENT EVENTS FROM THE FIXED BLOCK OF EVENTS BY THE CYCLICAL SELECTION OF FIXED SUBSEQUENCES OF ELEMENTS FROM CONSECUTIVE PAIRS OF EVENTS. TRANSLATED TEST EVENTS ARE RECORDED IN STAT94.INP. STAT3232 IS A VARIANT OF STAT3222, GENERATING EVENTS OF SIZE K0 = 5 OR 6 IN A MORE TERSE FASHION. CF., E.G., STAT3121 FOR THE GENERATION OF STAT3232.INP AS STAT94.INP OR CF. STAT201 FOR THE GENERATION OF STAT3232.INP AS STAT94.INP. ========================================================================= -- L 3233 -- ( GENERATING K0-ELEMENT EVENTS FROM A FIXED BLOCK OF EVENTS BY THE CYCLICAL SELECTION AND TRANSLATION OF FIXED SUBSEQUENCES OF ELEMENTS FROM CONSECUTIVE PAIRS OF EVENTS ) V STAT3233 READS A SEQUENCE OF BMAX K0-ELEMENT TEST EVENTS FROM STAT3233.INP AND AN ARBITRARY SEQUENCE OF K0-ELEMENT TRANSLATION VECTORS IN STAT3233.IN2, UTILIZED TO GENERATE A SEQUENCE OF EVENTS CONSISTING OF K0-ELEMENT EVENTS FROM THE FIXED BLOCK OF EVENTS BY THE CYCLICAL SELECTION OF FIXED SUBSEQUENCES OF ELEMENTS FROM CONSECUTIVE PAIRS OF EVENTS. TRANSLATED TEST EVENTS ARE RECORDED IN STAT94.INP. STAT3233 IS A VARIANT OF STAT3232, GENERATING APPROXIMATELY HALF THE NUMBER OF TEST EVENTS OF SIZE K0 = 5 OR 6 IN A MORE TERSE FASHION. CF. STAT201 OR STAT3168 FOR THE GENERATION OF STAT3233.INP AS STAT94.INP. CF. STAT3121 FOR THE GENERATION OF STAT3233.INP AS STAT94.INP OR CF. STAT201 FOR THE GENERATION OF STAT3233.INP AS STAT94.INP. ========================================================================= -- L 3234 -- MONITOR MATRIX GENERATOR XXIX FREQUENCY COUNTS FOR A SEQUENCE OF ELEMENTS < 1 , 2, ... , L0 > VS. A SEQUENCE OF STAR EVENTS ( VARIANT OF STAT1015 ) V 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. STAT3234 IS A VARIANT OF STAT1015, ANALYZING EACH FIXED ELEMENT OF T, RATHER THAN INTERSECTIONS OF K0-ELEMENT EVENTS VS. THE BASE SET OF STAR EVENTS, BUT FILTERING 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. STAT3234 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). STAT3234 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. STAT3234 IS A VARIANT OF STAT1015, BUT UTILIZES A DIFFERENT ALGORITHMIC TECHNIQUE FOR DETERMINING HIGH-PROBABILITY ELEMENTS. SIGNIFICANTLY, STAT3234 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. IF D(L) = Q(L) FOR ANY L, THEN L IS APPENDED AS A [*]-QUALIFYING ELEMENT IN PERM.OUT. THE SEQUENCE OF EXPECTED WEIGHTS, D(L), ( VS. A SEQUENCE OF STAR EVENTS ( VARIANT OF STAT1015 ) VI 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. STAT3235 IS A VARIANT OF STAT1015, ANALYZING EACH FIXED ELEMENT OF T, RATHER THAN INTERSECTIONS OF K0-ELEMENT EVENTS VS. THE BASE SET OF STAR EVENTS, BUT FILTERING STAR ELEMENTS, BASED UPON WHETHER OR NOT THE NUMBER OF 0'S SUCCEEDING THE LAST 1 IN THE STAR EVENT INTERSECTION OCCURR/NCE SEQUENCE EXCEEDS A DETERMINED THRESHOLD VALUE, M0, BASED UPON STAR EVENT INDEXES. STAT3235 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). STAT3235 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. STAT3235 IS A VARIANT OF STAT1015, BUT UTILIZES A DIFFERENT ALGORITHMIC TECHNIQUE FOR DETERMINING HIGH-PROBABILITY ELEMENTS. SIGNIFICANTLY, STAT3235 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. IF D(L) = Q(L) FOR ANY L, THEN L IS APPENDED AS A [*]-QUALIFYING ELEMENT IN PERM.OUT. THE SEQUENCE OF EXPECTED WEIGHTS, D(L), ( , FOR EACH L = 1, 2, ... L0 , IS RECORDED IN PERM2.INP FOR FURTHER ANALYSIS, E.G., IN STAT3123 AS PERM2.INP, RANKING PERMUTATIONS BY SUMS OF ELEMENT WEIGHTS. CF. STAT3062. CF. STAT3152 FOR ANALYSIS OF K0 SEPARATE COLUMNS OF STAR EVENTS. A CUMULATIVE FILE OF K0-ELEMENT TEST STAR EVENTS, ALONG WITH THEIR CORRESPONDING WEIGHT SUMS OVER K0 ELEMENTS, IS RECORDED IN CUMULAT.OUT. ========================================================================= -- L 3236 -- MONITOR MATRIX GENERATOR XXIX FREQUENCY COUNTS FOR A SEQUENCE OF ELEMENTS < 1 , 2, ... , L0 > VS. A SEQUENCE OF STAR EVENTS ( VARIANT OF STAT1015 AND STAT3235 ) VII 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. STAT3236 IS A VARIANT OF STAT1015 AND STAT3235. STAT3236 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). STAT3236 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. STAT3236 IS A VARIANT OF STAT1015, BUT UTILIZES A DIFFERENT ALGORITHMIC TECHNIQUE FOR DETERMINING HIGH-PROBABILITY ELEMENTS. SIGNIFICANTLY, STAT3236 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. IF |D(L)| .LE. Q0 FOR SOME DESIRED VALUE, Q0 , THEN L IS RECORDED AS A [*]-QUALIFYING ELEMENT IN PERM.OUT. THE SEQUENCE OF EXPECTED ( , IS DETERMINED AND RECORDED IN PERM2.INP FOR FURTHER ANALYSIS, E.G., IN STAT3123 AS PERM2.INP, RANKING PERMUTATIONS BY SUMS OF ELEMENT WEIGHTS. CF. STAT3062. CF. STAT3152 FOR ANALYSIS OF K0 SEPARATE COLUMNS OF STAR EVENTS. A CUMULATIVE FILE OF K0-ELEMENT TEST STAR EVENTS, ALONG WITH THEIR CORRESPONDING WEIGHT SUMS OVER K0 ELEMENTS, IS RECORDED IN CUMULAT.OUT. ========================================================================= -- L 3237 -- ( GENERATING K0-ELEMENT EVENTS FROM ( K0 x 3 ) - DIMENSIONAL BLOCKS ) ( HELIX CONGIGURATIONS ) STAT3237 READS ( K0 x 3 )-DIMENSIONAL BLOCKS OF ELEMENTS FROM STAT3237.INP AND GENERATES K0-ELEMENT EVENTS WHICH CONTAIN A DISTINCT REPRESENTATIVE FROM EACH ROW OF EACH ( K0 x 3 )-DIMENSIONAL BLOCK FOR K0 = 5 OR 6. STAT3237 IS A VARIANT OF STAT3168 AND STAT201, GENERATING 20 K0-ELEMENT EVENTS PER ( K0 x 3 )-DIMENSIONAL BLOCK OF EVENTS, EACH BLOCK HAVING HEADER IDENTIFYING THE EXISTENCE OF 3 COLUMNS PER BLOCK. GENERATED K0-ELEMENTS ARE RECORDED IN STAT94.INP, BASED UPON FINITE HELIX CONFIGURATIONS. ========================================================================= -- L 3238 -- ( GENERATING K0-ELEMENT EVENTS FROM 1-ELEMENT OR 2-ELEMENT STRINGS UNION A PAIR OF 2-ELEMENT STRINGS FROM A SEQUENCE OF BIPARTITE EVENTS ) (VERSION XXI) STAT3238 READS A SEQUENCE OF BMAX K0-ELEMENT TEST EVENTS FROM STAT3238.INP AND A SEQUENCE OF IMAX K0-ELEMENT STAR EVENTS FROM BASE.INP. THE EVENTS IN STAT3238.INP ARE UTILIZED TO GENERATE A SEQUENCE OF HIGH-PROBABILITY EVENTS IN STAT3238.OUT FROM EITHER 1- OR 2-ELEMENT STRINGS UNION A PAIR OF 2-ELEMENT STRINGS FROM A SEQUENCE OF SELECTED BIPARTITE EVENTS OF AN INPUT SEQUENCE, FROM COLUMNS { 1 } U { 2,3 } U { 4,5 } ( IF K0 = 5 ) OR FROM COLUMNS { 1,2 } U { 3,4 } U { 5 } ( IF K0 = 5 ) AND FROM COLUMNS { 1,2 } U { 3,4 } U { 5,6 } ( IF K0 = 6 ) OVER BIPARTITE EVENTS. A SELECTED STAR EVENT OR SEQUENCE OF STAR EVENTS IS THEN INTERSECTED WITH EACH GENERATED TEST EVENT FOR UP TO 600 POSSIBLE STAR EVENTS. 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 PERMUTATIONS 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. STAT3238 IS A VARIANT OF STAT2255, TACITLY GENERATING A SEQUENCE OF HIGH-PROBABILITY TEST EVENTS IN STAT3238.OUT AND STAT94.INP, TO GENERATE A SUBSEQUENCE OF HIGH-PROBABILITY TEST EVENTS. HOWEVER, NOT ALL SELECTED SUB-STRINGS FROM STAT3238.INP ARE CONTINUOUS. GENERATED EVENTS ARE FILTERED BY SELECTING ONLY THOSE TEST EVENTS FROM THE SEQUENCE WITH INDICES WHICH ARE CONGRUENT TO AN ELEMENT OF A DESIRED INTEGRAL VECTOR SELECTED BY THE ANALYST, I.E., < M1, M2, M3, M4, ... , M10 > ( MOD T) , FOR SOME DESIRED INTEGER T AND SOME DESIRED SEQUENCE OF POSITIVE INTEGERS : M1, M2, M3, M4, M5, M6,M7, M8, M9, AND M10 (NOT NECESSARILY DISTINCT). CF. ALSO STAT1100. ========================================================================= -- L 3239 -- ( TRANSLATING ELEMENTS FROM COLUMNS [ 2,3,4 ] OF A (BMAX x K0) ) - DIMENSIONAL BLOCK OF EVENTS BY A SEQUENCE OF CMAX PAIRS { C(1),C(2) } OF ELEMENTS, GENERATING A SEQUENCE OF BMAX * CMAX TEST EVENTS ) READS A (BMAX x K0)-DIMENSIONAL BLOCK OF EVENTS FROM STAT3239.INP AND A SEQUENCE OF CMAX 2-ELEMENT TRANSLATION EVENTS FROM STAT3239.IN2, GENERATING A SEQUENCE OF BMAX * CMAX TEST EVENTS, WHERE THE SEQUENCE IN STAT3239.IN2 IS UTIIZED TO TRANSLATE THE EVENTS IN STAT3239.INP. THE RESULTING BLOCKS ARE RECORDED IN STAT94.INP FOR FUTURE PROCESSING, E.G., IN STAT3212. STAT3239 IS A VARIANT TEST EVENT VERSION OF STAT3214. ========================================================================= -- L 3240 -- ( TRANSLATING ELEMENTS (MOD L0) FROM ALL K0 COLUMNS OF A (BMAX x K0) ) - DIMENSIONAL BLOCK OF EVENTS BY A SEQUENCE OF CMAX RANDOMLY GENERATED K0-ELEMENT EVENTS, GENERATING A SEQUENCE OF BMAX * CMAX TEST EVENTS ) READS A (BMAX x K0)-DIMENSIONAL BLOCK OF EVENTS FROM STAT3240.INP AND A SEQUENCE OF CMAX RANDOMLY GENERATED K0-ELEMENT TRANSLATION EVENTS FROM STAT3240.IN2, GENERATING A SEQUENCE OF BMAX * CMAX TEST EVENTS, WHERE THE SEQUENCE IN STAT3240.IN2 IS UTIIZED TO TRANSLATE THE ELEMENTS (MOD L0) OF THE EVENTS IN STAT3240.INP. THE RESULTING BLOCKS ARE RECORDED IN STAT94.INP FOR FUTURE PROCESSING, E.G., IN STAT3212. STAT3240 IS A VARIANT OF STAT3239. HOWEVER, K0-ELEMENT TRANSLATION EVENTS, RATHER THAN 2-ELEMENT TRANSLATION EVENTS ARE UTILIZED IN STAT3240.IN2. ========================================================================= -- L 3241 -- ( GENERATING K0-ELEMENT EVENTS FROM A (BMAX x K0) ) - DIMENSIONAL BLOCK OF EVENTS BY SELECTING ELEMENTS FROM PRESCRIBED ROWS AND COLUMNS BASED UPON UPON AN (RMAX x K0)-DIMENSIONAL BLOCK OF ROW INDEX VECTORS AND A (CMAX x K0)-DIMENSIONAL BLOCK OF COLUMN INDEX VECTORS ) READS A (BMAX x K0)-DIMENSIONAL BLOCK OF EVENTS FROM STAT3241.INP, AN (RMAX x K0)-DIMENSIONAL BLOCK OF ROW INDEX VECTORS FROM STAT3241.IN2, A (CMAX x K0)-DIMENSIONAL BLOCK OF COLUMN INDEX VECTORS FROM STAT3241.IN3, AND A SEQUENCE OF IMAX K0-ELEMENT STAR EVENTS FROM BASE.INP. THE VECTORS FROM STAT3241.IN2 AND STAT3241.IN3 ARE UTILIZED TO SELECT ELEMENTS FROM STAT3241.INP OF THE FORM: B(R(M,J),C(M,J)), FOR J = 1,K0 TO DETERMINE K0-ELEMENT EVENTS TO BE RECORDED IN STAT94.INP, OPTIONALLY INCLUDING THE BLOCK OF EVENTS OF STAT3241.INP. THE ROUTINE READS UP TO 600 STAR EVENTS IN BASE.INP AND UP TO 100 EVENTS IN THE REMAINING INPUT FILES. ROW VECTOR ELEMENTS ARE AUTOMATICALLY ADJUSTED (MOD BMAX) AND COLUMN VECTOR ELEMENTS ARE AUTOMATICALLY ADJUSTED (MOD K0) IN REAL TIME, PRIOR TO COMPUTATIONS. ========================================================================= -- L 3242 -- ( PREDICTING FUTURE INTERSECTIONS FOR A CYCLIC BLOCK OF TEST EVENTS ) XXXXX STAT3242 READS A LARGE SEQUENCE (E.G., UP TO 10,000 OR MORE INPUT TEST EVENTS) FROM STAT3242.INP AND IMAX K0-ELEMENT STAR EVENTS FROM BASE.INP. THE INPUT SEQUENCE IN STAT3242.INP IS READ AS A FIXED BLOCK OF K0-ELEMENT EVENTS 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 BLOCKS OF K0-ELEMENT EVENTS OF A DESIRED BLOCK-SIZE, M0, E.G., M0 = 1 , 2 , 3 , 4 , ... , 100. 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 BLOCK OF TEST EVENTS. STAT3242 FILTERS TEST EVENTS FROM STAT3242.INP INTO STAT3242.OUT AND STAT94.INP. INPUT BLOCKS FROM STAT3242.INP ARE ACCEPTED AS [*]- QUALIFIED IF, TMAX IS IN [ T1,T2 ] , WHERE TMAX IS THE EXPECTED NUMBER OF STAR INDICES OVER WHICH A [*]-QUALIFYING TEST EVENT SHOULD EITHER BE EXPECTED TO OCCUR OR SHOULD HAVE ALREADY OCCURRED. THIS PROCESS IS CYCLICALLY REPEATED OVER ALL STAR EVENTS OF BASE.INP. STAT3242 IS A VARIANT OF STAT1631, STREAMLINING OUTPUT UNTIL AN EXHAUSTIVE SEARCH OVER STAT3242.INP IS COMPLETED FOR QUALIFYING BLOCKS OF K0-ELEMENT EVENTS. HOWEVER, A DESIRED NUMBER OF DISTINCT VALUES OF TMAX RESTRICTS THE NUMBER OF [*]-QUALIFYING EVENTS. CF. STAT1506 (AN EMBELLISHMENT OF STAT1323) FOR A VERSION OF STAT3242 WHICH GENERATES BLOCKS OF INPUT EVENTS RANDOMLY. STAT3242 USES A SEQUENCE OF CONSECUTIVE INDICES VS. TMAX TO GENERATE THE SPECTRUM OF BLOCKS OF EVENTS WHOSE VALUES OF TMAX MATCH THE GIVEN SEQUENCE OF INDICES WITHIN A DESIRED INTERVAL. CF. STAT1619, WHICH IS THE PERMUTATION VERSION OF STAT3242. CF. ALSO STAT1016. STAT94.INP MAY BE UTILIZED AS STAT2013.INP. A CUMULATIVE FILE OF [*]-QUALIFYING EVENTS IS RECORDED IN CUMULAT.OUT. CF. STAT2758 AND STAT1631. ========================================================================= -- L 3243 -- ( GENERATES 12-ELEMENT SUB-PERMUTATIONS FROM A FIXED (BMAX x K0)- DIMENSIONAL BLOCK OF EVENTS BY THE SELECTION OF EITHER (3 x 4)- OR (4 x3)-DIMENSIONAL SUB-BLOCKS OF ELEMENTS ) READS A (BMAX x K0)-DIMENSIONAL BLOCK OF EVENTS FROM STAT3243.INP, GENERATING A SEQUENCE 12-ELEMENT SUB-PERMUTATIONS INTO PERM.INP FROM EITHER (3 x 4)- OR (4 x 3)-DIMENSIONAL BLOCKS OF ELEMENTS SELECTED FROM THE FIRST 4 EVENTS OF THE (BMAX x K0)-DIMENSIONAL BLOCK OF ELEMENTS IN STAT2343.INP. OUTPUT PERMUTATIONS ARE RECORDED IN PERM.OUT TO BE UTILIZED AS PERM.INP IN STAT3244. ========================================================================= -- L 3244 -- (FILTERING AND RANKING F(J)-ELEMENT PERMUTATIONS IN DESCENDING ORDER OF SUMS OF WEIGHTS OF ALL F(J) ELEMENTS) (PERMUTATION VERSION OF STAT3086) READS A LARGE SET OF K0-ELEMENT PERMUTATIONS FROM PERM.INP, A SET OF L0 WEIGHTS OF ELEMENTS FROM PERMWT.INP ( GENERATED VIA STAT2916, AS PERM.OUT OR FROM STAT1015 AS PERM2.INP , E.G. ) AND A SEQUENCE OF IMAX K0-ELEMENT STAR EVENTS ON THE ELEMENTS IN THE SEQUENCE < 1, 2 , ... , L0 > FROM BASE.INP. PERM.INP MAY ACTUALLY CONSIST OF FREQUENCIES OR ANY DESIRED WEIGHTS COMPUTED FOR THE L0 ELEMENTS. PERMUTATIONS ARE FILTERED FROM PERM.INP AND RANKED IN DESCENDING ORDER OF SUMS OF WEIGHTS OF ALL F(J) ELEMENTS PER PERMS. A PERM IS FILTERED AS [*]-QUALIFIED WHENEVER ITS WEIGHT SUM OVER F(J) ELEMENTS EXCEEDS A DESIRED LOWER BOUND SELECTED IN REAL-TIME BY THE ANALYST. AND LESS THAN OR EQUAL TO A DESIRED OR SELECTED MAXIMUM SUM, W1. [*]-QUALIFYING PERMS ARE RECORDED IN PERM.OUT. STAT3244 IS A VARIANT AND PERMUTATION VERSION OF STAT3086. PERMWT.INP MAY BE GENERATED BY STAT64 AS PERM.INP. PERM.INP MAY BE GENERATED BY STAT3243 AS PERM.OUT OR FROM STAT12 AS PERM2.OUT. ========================================================================= -- L 3245 -- ( GEOMETRIC DISTRIBUTION FOR FREQUENCIES OF ELEMENTS IN K0 COLUMNS WITH ALL ELEMENTS CLASSIFIED AS EITHER L&O, L&E, H&O OR H&E ) STAT3245 READS A SEQUENCE OF IMAX STAR EVENTS FROM BASE.INP, CLASSIFIES ALL ELEMENTS IN THE ( IMAX x K0 )-DIMENSIONAL BLOCK AS EITHER (1) L&O, (2) L&E , (3) H&O OR (4) H&E , AND THEN DETERMINES THE RELATIVE FREQUENCY OF EACH CLASS OVER EACH ONE OF THE K0 COLUMNS, BACKING-UP A DETERMINED NUMBER OF EVENTS, IBACK, FROM THE FINAL STAR EVENT. A GEOMETRIC PROBABILITY DISTRIBUTION IS DETERMINED OVER EACH ONE OF THE K0 COLUMNS FOR THE PROBABILITY THAT EACH ELEMENT L OCCURS FOR THE 1ST TIME AFTER IBACK SELECTED STAR EVENTS HAVE ELAPSED. ELEMENTS ARE RANKED OVER THE K0 COLUMNS IN DESCENDING ORDER OF THE ABOVE DETERMINED PROBABLITIES AND RECORDED IN STAT201.INP, STAT361.INP, AND STAT368.INP. STAR EVENTS ARE RECORDED IN REVERSE ORDER, BACKING-UP IBACK EVENTS, WITH PROBABILITY THAT THE 1st OCCURRENCE OF ELEMENT L WILL BE AT STAR EVENT INDEX (IMAX+1), OVER EACH COLUMN K, FOR K = 1,2,...,K0 AND RECORDED IN STAT3245.OT2. A CUMULATIVE FILE OF BLOCKS OF QUALIFYING ELEMENTS IS RECORDED IN CUMULAT.OUT. ELEMENTS WHICH HAVE OCCURRED OVER THE LAST IBACK STAR EVENTS IN EACH OF K0 COLUMNS ARE DISQUALIFIED FROM STAT201.INP, STAT361.INP, AND STAT368.INP. PERM.INP IS GENERATED TO BE UTILIZED IN STAT3121, STAT543, STAT3168, ET AL. STAT3245 ALSO RECORDS AN ( L0 x K0 )-DIMENSIONAL BLOCK OF PROBABILITY WEIGHTS IN STAT3091.IN2 FOR PROCESSING IN STAT3091 FOR L0 ELEMENTS OVER K0 SEPARATE COLUMNS. STAT3245 IS A VARIANT OF STAT3024, BUT ANALYZES ELEMENTS OVER THE AFOREMENTIONED FOUR CLASSES: (1) L&O , (2) L&E , (3) H&O , OR (4) H&E. ========================================================================= -- L 3246 -- 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 GEOMETRIC PROBABILITY DISTRIBUTION FUNCTION ) 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. ========================================================================= -- L 3247 -- MONITOR MATRIX GENERATOR XXXXX FREQUENCY COUNTS FOR ELEMENTS IN A LARGE SEQUENCE OF K0-ELEMENT EVENTS IV ( VARIANT OF STAT2343 AND STAT3269 ) ( UTILIZING A NEGATIVE-BINOMIAL DISTRIBUTION TO DETERMINE PROBABILITIES ) 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. STAT3247 IS A VARIANT STAT1030 AND STAT2343, ANALYZING K0-ELEMENT TEST EVENTS RATHER THAN PERMUTATIONS, WITH EVENTS FILTERED FROM SUB-BLOCKS OF SIZE BMAX. HOWEVER, STAT3247 UTILIZES A NEGATIVE-BINOMIAL DISTRIBUTION TO 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 AT LEAST A DESIRED VALUE, Q0. IF THE EXPECTED FREQUENCY CADENCE = 1/K, THEN STAT3247 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. STAT3247 READS SUB-BLOCKS OF BMAX INPUT TEST EVENTS FROM STAT3247.INP AND UP TO 600 INPUT STAR EVENTS FROM BASE.INP. [*]-QUALIFYING EVENTS ARE FILTERED AND RECORDED IN STAT94.INP, RANKED IN DESCENDING OR ASCENDING ORDER OF JDELTA = MTC - IRATIO WITH IDELTA = 10000*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. STAT3247 IS A DERIVATIVE AND VARIANT OF STAT2343 AND A TEST EVENT VERSION OF STAT2349. CF. STAT2349 FOR THE PERMUTATION VERSION. CF. ALSO STAT2514, STAT2604 STAT2606, STAT3149, STAT2343, AND STAT3251. CF. STAT3269 FOR A VERSION OF STAT3247 WHICH RANKS [*]-QUALIFYING EVENTS IN DESCENDING ORDER OF IDELTA = 10000 * Pr( EVENT E is [*]-QUALIFIED). ========================================================================= -- L 3248 -- ( GENERATING K0-ELEMENT EVENTS FROM A FIXED BLOCK OF EVENTS BY THE SEQUENTIAL SELECTION OF FIXED VECTORS OF K0 CONSECUTIVE ROW-INDEX ELEMENTS RESULTING IN PRESCRIBED INDEX SHIFTS ) STAT3248 READS A SEQUENCE OF BMAX K0-ELEMENT TEST EVENTS FROM STAT3248.INP AND A SEQUENCE OF CMAX K0-ELEMENT INDEX TRANSLATION VECTORS IN STAT3248.IN2 (WITH TRANSLATED ROW SHIFTS AUTOMATICALLY ADJUSTED (MOD(BMAX) ), WHICH ARE UTILIZED TO GENERATE A SEQUENCE OF EVENTS FOR WHICH ELEMENTS IN SELECTED COLUMNS ARE SHIFTED BY A PRESCRIBED NUMBER OF ROW INDEX UNITS. GENERATED EVENTS ARE RECORDED IN STAT94.INP FOR FURTHER ANALYSIS. STAT3248 IS A VARIANT OF STAT3186, BUT SHIFTS ELEMENTS VIA INPUT VECTORS FROM STAT3248.IN2. A CUMULATIVE SEQUENCE OF GENERATED TEST EVENTS IS RECORDED IN CUMULAT.OUT. ========================================================================= -- L 3249 -- ( GENERATING K0-ELEMENT EVENTS FROM A FIXED BLOCK OF EVENTS BY THE CYCLICAL SELECTION AND TRANSLATION OF FIXED SUBSEQUENCES OF ELEMENTS FROM CONSECUTIVE PAIRS OF EVENTS ) IV STAT3249 READS A SEQUENCE OF BMAX K0-ELEMENT TEST EVENTS FROM STAT3249.INP AND AN ARBITRARY SEQUENCE OF K0-ELEMENT TRANSLATION VECTORS IN STAT3249.IN2, UTILIZED TO GENERATE A SEQUENCE OF EVENTS CONSISTING OF K0-ELEMENT EVENTS FROM THE FIXED BLOCK OF EVENTS BY THE CYCLICAL SELECTION OF FIXED SUBSEQUENCES OF ELEMENTS FROM CONSECUTIVE PAIRS OF EVENTS. BLOCKS OF EVENTS ARE GENERATED VIA THREE SELECTED CONFIGURATIONS IN REAL TIME. TRANSLATED EVENTS ARE RECORDED IN STAT94.INP. STAT3249 IS A VARIANT OF STAT3202, GENERATING EVENTS OF EITHER SIZE K0 = 5 OR 6. CF. STAT201 FOR THE GENERATION OF STAT3249.INP AS STAT94.INP. CF. ALSO STAT3186 FOR THE GENERATION OF STAT3249.INP AS STAT94.INP. ========================================================================= -- L 3250 -- 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 GEOMETRIC DISTRIBUTION FUNCTION OVER EACH ONE OF K0 SEPARATE COLUMNS ) ( VARIANT OF STAT3374 ) 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. STAT3250 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 GEOMETRIC 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. STAT3250 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). STAT3250 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. STAT3250 IS A VARIANT OF STAT934, BUT UTILIZES A DIFFERENT ALGORITHMIC TECHNIQUE FOR DETERMINING HIGH-PROBABILITY ELEMENTS. SIGNIFICANTLY, STAT3250 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 ) 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. STAT3253 IS A VARIANT OF STAT3246 AND STAT3250, ANALYZING STAR EVENTS OVER EACH ONE OF K0 SEPARATE COLUMNS VS. THE BASE SET OF STAR EVENTS, BUT FILTERING STAR ELEMENTS, BASED UPON THE NEGATIVE-BINOMIAL DISTRIBUTION DETERMINING THE PROBABILITY THAT EACH ELEMENT L WILL OCCUR FOLLOWING THE FINAL STAR EVENT. A DETERMINED THRESHOLD VALUE, M0, BASED UPON STAR EVENT INDEXES, IS UTILIZED TO DETERMINE EVENT PROBABILITIES. STAT3253 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 NUMBER OF SUCCESSES IN THE (0,1) - OCCURRENCE MATRIX FOR EACH OF THE L0 STAR ELEMENTS. M1 IS THE DESIRED THRESHOLD VALUE FOR INDEXES: M1 (MOD KCT). STAT3253 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. STAT3253 IS A VARIANT OF STAT934, BUT UTILIZES A DIFFERENT ALGORITHMIC TECHNIQUE FOR DETERMINING HIGH-PROBABILITY ELEMENTS. SIGNIFICANTLY, STAT3253 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 XV ( PROBABILITY THAT ELEMENT L OCCURS IN THE NEXT STAR EVENT VIA A NEGATIVE-BINOMIAL DISTRIBUTION FUNCTION OR AN ARBITRARY PROBATILITY FUNCTION ) READS A SEQUENCE OF ARBITRARY PROBABILTY WEIGHTS OF DIMENSION L0 IN PERM.INP, SUCH AS NEGATIVE-BINOMIAL ROBABILITIES GENERATED BY STAT3246 AS PERM.INP OR BY SOME OTHER ROUTINE GENERATING WEIGHTS, A ( BMAX x K0 ) - DIMENSIONAL BLOCK OF TEST EVENTS IN STAT3254.INP, AND 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. STAT3254 IS A VARIANT OF STAT3246, ANALYZING EACH FIXED ELEMENT OF T, RATHER THAN INTERSECTIONS OF K0-ELEMENT EVENTS VS. THE BASE SET OF STAR EVENTS, BUT FILTERING 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. STAT3254 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). STAT3254 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. STAT3254 IS A VARIANT OF STAT3246, BUT UTILIZES A DIFFERENT ALGORITHMIC TECHNIQUE FOR DETERMINING HIGH-PROBABILITY ELEMENTS. SIGNIFICANTLY, STAT3254 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 BASE.INP. PERM.INP MAY ACTUALLY CONSIST OF FREQUENCIES OR ANY DESIRED WEIGHTS COMPUTED FOR THE L0 ELEMENTS. TEST EVENTS ARE FILTERED FROM STAT3255.INP AND RANKED IN DESCENDING ORDER OF SUMS OF WEIGHTS OF ALL K0 ELEMENTS PER EVENT. AN EVENT IS FILTERED AS [*]-QUALIFIED WHENEVER ITS WEIGHT SUM OVER K0 ELEMENTS EXCEEDS A DESIRED LOWER BOUND SELECTED IN REAL-TIME BY THE ANALYST. AND LESS THAN OR EQUAL TO A DESIRED OR SELECTED MAXIMUM SUM, W1. [*]-QUALIFYING EVENTS ARE RECORDED IN STAT94.INP. THE WEIGHTS IN PERM.INP MAY ALSO BE GENERATED AS PERM.INP IN STAT3246. STAT3255 IS A VARIANT AND HYBRID OF STAT3086 AND STAT12. A BLOCK OF INITIAL PERMUTATIONS RESIDES IN THE INPUT FILE PERM2.INP. ========================================================================= -- L 3256 -- ( GENERATING K0-ELEMENT EVENTS FROM SELECTED SETS OF VERTICAL BLOCKS IN K0 COLUMNS OF A FIXED PAIR OF PERMUTATIONS ON L0 ELEMENTS ) STAT3256 READS A SEQUENCE OF TW0 M0-ELEMENT PERMUTATIONS FROM PERM.INP AND AN ARBITRARY SEQUENCE OF K0-ELEMENT COLUMN-INDEX VECTORS FROM STAT3256.INP, WITH ENTRIES AUTOMATICALLY ADJUSTED ( MOD V0 ), FOR SOME DESIRED SUB-PERMUTATION SIZE, V0, SELECTED BY THE ANALYST. K0-ELEMENT EVENTS ARE GENERATED BY THE SELECTION OF ONE ELEMENT FROM VERTICAL BLOCKS IN EACH SET OF SIX COLUMNS DETERMINED BY EVENTS IN STAT3256.INP. GENERATED EVENTS ARE RECORDED IN STAT94.INP FOR FURTHER ANALYSIS IN STAT3086, STAT3246, STAT3247, ET AL. ========================================================================= -- L 3257 -- 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 ) II 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. STAT3257 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 THE BINOMIAL DISTRIBUTION DETERMINING THE PROBABILITY THAT EACH ELEMENT L WILL OCCUR FOLLOWING THE FINAL STAR EVENT. A DETERMINED THRESHOLD VALUE, M0, BASED UPON STAR EVENT INDEXES. STAT3257 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). STAT3257 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. STAT3257 IS A VARIANT OF STAT934, BUT UTILIZES A DIFFERENT ALGORITHMIC TECHNIQUE FOR DETERMINING HIGH-PROBABILITY ELEMENTS. SIGNIFICANTLY, STAT3257 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 BINOMIAL DISTRIBUTION FUNCTION ) 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. STAT3259 IS A VARIANT OF STAT3246, ANALYZING EACH FIXED ELEMENT OF T, RATHER THAN INTERSECTIONS OF K0-ELEMENT EVENTS VS. THE BASE SET OF STAR EVENTS, BUT FILTERING 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. STAT3259 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). STAT3259 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. STAT3259 IS A VARIANT OF STAT934, BUT UTILIZES A DIFFERENT ALGORITHMIC TECHNIQUE FOR DETERMINING HIGH-PROBABILITY ELEMENTS. SIGNIFICANTLY, STAT3259 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. ( 0 AND M0 > 0 , VIA A POISSON PROBABILITY DISTRIBUTION, HENCE COVERING THE CASE JMAX > 130. STAT3261 ALSO DETERMINES THE ODDS IN FAVOR OF AN EVENT E AND THE ODDS AGAINST E. ========================================================================= -- L 3262 -- ( UTILIZING A POISSON DISTRIBUTION TO DETERMINE THE PROBABLITY THAT AN EVENT E WILL HAVE [ M1,M2 ] SUCCESSES IN JMAX TRIALS ) READS A SEQUENCE OF JMAX BINARY-VALUED ELEMENTS REPRESENTING THE OCCURRENCE VS. NON-OCCURRENCE OF AN ARBITRARY EVENT TO DETERMINE THE TOTAL POISSON PROBABILITY THAT EVENT E WILL ACHIEVE M0 SUCCESSES IN JMAX TRIALS, WHERE JMAX > 0 AND M0 >0 LIES IN THE INTERVAL [ M1,M2 ]. CF. STAT3260 FOR THE NEGATIVE-BINOMIAL PROB. THAT THE NEXT SUCCESS WILL OCCUR ON THE (JMAX + 1)-st TRIAL. CF. ALSO STAT3261 FOR THE RESTRICTED BINOMIAL PROBABILITY CASES WHERE JMAX > 0 AND M0 > 0 , VIA A BINOMIAL PROBABILITY DISTRIBUTION. STAT3262 ALSO DETERMINES THE ODDS IN FAVOR OF AN EVENT E AND THE ODDS AGAINST E. ========================================================================= -- L 3263 -- ( FILTERING K0-ELEMENT EVENTS FROM A LARGE SEQUENCE SATISFYING THE PROPERTY THAT AT LEAST Q0 ELEMENTS HAVE NOT OCCURRED OVER THE LAST V0 STAR EVENTS ) STAT3263 READS A SEQUENCE OF IMAX STAR EVENTS FROM BASE.INP AND A LARGE SEQUENCE OF K0 ELEMENT EVENTS FROM STAT3263.INP AND FILTERS A DESIRED NUMBER OF EVENTS FROM STAT3263.INP WHICH SATISFY THE PROPERTY THAT AT LEAST Q0 ELEMENTS PER EVENT HAVE NOT OCCURRED OVER THE PAST V0 STAR EVENTS. [*]-QUALIFYING EVENTS ARE RECORDED IN STAT94.INP. ========================================================================= -- L 3264 -- 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 GEOMETRIC DISTRIBUTION FUNCTION OVER EACH ONE OF K0 SEPARATE COLUMNS OVER SCROLLING SUB-BLOCKS OF STAR EVENTS ) 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. STAT3264 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 THE GEOMETRIC DISTRIBUTION DETERMINING THE PROBABILITY THAT EACH ELEMENT L WILL OCCUR FOLLOWING THE FINAL STAR EVENT OVER CYCLIC BLOCKS OF EVENTS INTERSECTED WITH THE SUCCEEDING STAR EVENT. A DETERMINED THRESHOLD VALUE, M0, BASED UPON STAR EVENT INDEXES. STAT3264 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). STAT3264 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. STAT3264 IS A VARIANT OF STAT934, BUT UTILIZES A DIFFERENT ALGORITHMIC TECHNIQUE FOR DETERMINING HIGH-PROBABILITY ELEMENTS. SIGNIFICANTLY, STAT3264 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. ( , L = 1,...,K0, FROM PERM.INP AND A LARGE SEQUENCE OF K0-ELEMENT INDEX VECTORS FROM STAT3265.INP (GENERATED BY STAT3264). STAT3265 GENERATES LEXICOGRAPHIC K0-ELEMENT EVENTS AND RECORDS THEM INTO STAT94.INP. THE INPUT PERMUTATION IN PERM.INP MAY BE GENERATED BY STAT3250 AS PERM2.OUT. ========================================================================= -- L 3266 -- ( FILTERING AND RANKING K0-ELEMENT EVENTS FROM AN ARBITRARILY LARGE SEQUENCE IN DESCENDING ORDER OF SUMS OF SCALED PROBABILITY WEIGHTS OF ALL K0 ELEMENTS DETERMINED OVER EACH ONE OF K0 SEPARATE COLUMNS BASED UPON A NEGATIVE-BINOMIAL PROBABILITY DISTRIBUTION FOR ALL ELEMENTS VIA AN (L0 x K0)-DIMENSIONAL SCALED PROBABILITY MATRIX GENERATED BU STAT3250 AS STAT3258.IN3 ) ( VARIANT OF STAT3258 ) II READS A LARGE SET OF K0-ELEMENT EVENTS FROM STAT3266.INP, AN (L0 x K0)- BLOCK OF PROBABILITY WEIGHTS OF ELEMENTS FROM STAT3266.IN3 WHICH IS GENERATED VIA STAT3250 AS STAT3258.IN3 FOR USAGE BY STAT3266, AND A SEQUENCE OF IMAX K0-ELEMENT K0-ELEMENT STAR EVENTS FROM BASE.INP. TEST EVENTS ARE FILTERED FROM STAT3266.INP AND RANKED IN DESCENDING ORDER OF SUMS OF WEIGHTS OF ALL K0 ELEMENTS PER EVENT. AN EVENT IS FILTERED AS [*]-QUALIFIED WHENEVER THE SUM OF PROBABILITY WEIGHTS OVER K0 COLUMNS EXCEEDS A LOWER BOUND Q0 SELECTED IN REAL-TIME BY THE ANALYST. STAT3266 IS A VARIANT OF STAT3258. PROBABILITY WEIGHTS OF ELEMENTS ARE DETERMINED IN REAL-TIME FROM STAT3250 AND RECORDED AS STAT3266.IN2 AND STAT3248.IN3 AS ( L0 x K0 ) - DIMENSIONAL BLOCKS WITH TEST EVENTS FILTERED FROM STAT3266.INP FOR WHICH WT_SUMS OF ALL K0 ELEMENT EVENTS EXCEED OR EQUAL A DESIRED LOWER BOUND, PMIN. [*]-QUALIFYING EVENTS ARE RECORDED IN STAT94.INP. CF. ALSO STAT3250, STAT3258 AND STAT3091. ========================================================================= -- L 3267 -- MONITOR MATRIX GENERATOR XXIX FREQUENCY COUNTS FOR A SEQUENCE OF ELEMENTS < 1 , 2, ... , L0 > VS. A SEQUENCE OF STAR EVENTS ( SCROLLING VERSION OF STAT3246 UNION STAT3264 ) ( PROBABILITY THAT ELEMENT L OCCURS IN THE NEXT STAR EVENT VIA A GEOMETRIC DISTRIBUTION FUNCTION OVER SCROLLING SUB-BLOCKS OF STAR EVENTS ) 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. STAT3267 IS A VARIANT OF STAT3246 AND STAT3264 BUT ANALYZES EVENTS OVER SCROLLING SUB-BLOCKS OF STAR EVENTS VS. THE NEXT SUCCESSIVE OF STAR EVENTS, BUT FILTERING 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, CYCLICALLY GENERATED OVER DIMINISHING SIZE STAR EVENT BLOCKS INTERSECTED WITH THE NEXT SUCCESSIVE STAR EVENT IN BASE.INP. STAT3267 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). STAT3267 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. STAT3267 IS A VARIANT OF STAT934, BUT UTILIZES A DIFFERENT ALGORITHMIC TECHNIQUE FOR DETERMINING HIGH-PROBABILITY ELEMENTS. SIGNIFICANTLY, STAT3267 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 AND A LARGE SEQUENCE OF K0-ELEMENT INDEX VECTORS FROM STAT3268.INP (GENERATED BY STAT3267). STAT3268 GENERATES LEXICOGRAPHIC K0-ELEMENT EVENTS AND RECORDS THEM INTO STAT94.INP. THE INPUT PERMUTATION IN PERM.INP MAY BE GENERATED BY STAT3246 AS PERM2.OUT. CF. STAT3265 FOR ANALYSIS OF K0 INPUT PERMUTATIONS FROM PERM.INP (GENERATED BY STAT3250). ========================================================================= -- L 3269 -- MONITOR MATRIX GENERATOR XXXXX FREQUENCY COUNTS FOR ELEMENTS IN A LARGE SEQUENCE OF K0-ELEMENT EVENTS V (VARIANT OF STAT2343, STAT3247, STAT3419, STAT3469, STAT3487, STAT3491) ( UTILIZING EITHER A NEGATIVE BINOMIAL, POISSON OR GEOMETRIC PROBABILITY DISTRIBUTION TO DETERMINE PROBABILITIES ) 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. STAT3269 IS A VARIANT STAT3487 AND STAT2343 AND STAT3247, ANALYZING EVENTS RATHER THAN PERMUTATIONS, WITH EVENTS FILTERED FROM SUB-BLOCKS OF SIZE BMAX. HOWEVER, STAT3269 UTILIZES EITHER A NEGATIVE BINOMIAL, POISSON, OR GEOMETRIC 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 STAT3269 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. STAT3269 READS SUB-BLOCKS OF BMAX INPUT TEST EVENTS FROM STAT3269.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. STAT3269 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 STAT3269 WHICH RANKS [*]-QUALIFYING EVENTS IN DESCENDING ORDER OF JDELTA = MTC - IRATIO. IN STAT3269, 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. A CUMULATIVE FILE OF [*]-QUALIFYING TEST EVENTS IS RECORDED IN CUMULAT.OUT. STAT3269 GENERATES THE CRITICAL FILE STAT3525.INP FOR ANALYSIS IN STAT3525. ========================================================================= -- L 3270 -- 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 GEOMETRIC DISTRIBUTION FUNCTION ) ( STAT3270 IS A VARIANT OF STAT3246 ) 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. STAT3270 IS A VARIANT OF STAT3246, ANALYZING EACH FIXED ELEMENT OF T, RATHER THAN INTERSECTIONS OF K0-ELEMENT EVENTS VS. THE BASE SET OF STAR EVENTS, BUT FILTERING STAR ELEMENTS, , BASED UPON RANKING OF ELEMENTS IN EITHER DESCENDING OR ASCENDING ORDER OF D(L) = J0 / JNUM (.GE. Q0) WHERE Q0 IS ARBITRARILY SELECTED BY THE ANALYST, J0 IS THE OCCURRENCE CADENCE OF L VIA A GEOMETRIC PROBABILITY DISTRIBUTION AND JNUM IS THE OCCURRENCE CADENCE OF L VIA THE NUMBER OF INSTANCES OF L OVER IMAX STAR EVENTS. STAT3270 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). STAT3270 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. STAT3270 IS A VARIANT OF STAT934, BUT UTILIZES A DIFFERENT ALGORITHMIC TECHNIQUE FOR DETERMINING HIGH-PROBABILITY ELEMENTS. SIGNIFICANTLY, STAT3270 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) = J0 / JNUM , WHERE J0 AND JUNUM ARE OCCURRENCE CADENCES DETERMINED FOR EACH ELEMENT L = 1, ... , L0 ) RANKED AND RECORDED IN PERM2.INP FOR FURTHER ANALYSIS, E.G., IN STAT3123 AS PERM2.INP, WHEN RANKING PERMUTATIONS BY SUMS OF ELEMENT WEIGHTS. CF. STAT3062. CF. STAT3152 FOR ANALYSIS OF K0 SEPARATE COLUMNS OF STAR EVENTS. A CUMULATIVE FILE OF K0-ELEMENT TEST STAR EVENTS, ALONG WITH THEIR CORRESPONDING WEIGHT SUMS OVER K0 ELEMENTS, IS RECORDED IN CUMULAT.OUT. CF. STAT3250 FOR A VERSION OF STAT3270 WHICH ANALYZES THE L0 ELEMENTS IN EACH ONE OF K0 SEPARATE COLUMNS. CF. STAT3246 FOR RANKING OF VIA NEGATIVE-BINOMIAL PROBABILITIES. ========================================================================= -- L 3271 -- ( GENERATING TRANSLATED Q0-ELEMENT PERMUTATIONS FROM A FIXED Q0-ELEMENT PERMUTATION P(L> BY THE TRANSLATION OF SELECTED SELECTED ELEMENTS OF P(L) WITH INDICES CONGRUENT TO JJ(MOD(2)) BY KK UNITS OVER A SEQUENCE OF PRE-SELECTED PAIRS < JJ,KK > ) STAT3271 READS A FIXED PERMUTATION < P(J),J=1,...,Q0 >, FROM PERM.INP AND AN ARBITRARY SEQUENCE OF PAIRS OF ELEMENTS < JJ,KK > FROM STAT3271.INP (E.G., GENERATED BY STAT3270)). SELECTED ELEMENTS FROM P IN PERM.INP WITH INDICES CONGRUENT TO JJ(MOD(2)) ARE TRANSLATED BY KK UNITS FOR EACH PAIR IN . THE SEQUENCE OF TRANSLATED PERMUTATIONS IS RECORDED IN PERM.OUT. ========================================================================= -- L 3272 -- ( GENERATING ALL [ n C k0 ] k0-ELEMENT EVENTS FROM A PERMUTATION OF SIZE n AND RANKING K0-ELEMENT EVENTS FROM THE GENERATED SEQUENCE IN DESCENDING ORDER OF SUMS OR PRODUCTS OF PROBABILITY WEIGHTS OF ALL K0 ELEMENTS DETERMINED OVER THE ( IMAX x K0 )-DIMENSIONAL STAR EVENT BLOCK, BASED UPON A NEGATIVE-BINOMIAL PROBABILITY DISTRIBUTION FOR ALL ELEMENTS VIA LOWER AND UPPER BOUND PROBABILITY VECTORS: V1 = < P1 , ... , PK0 > , V2 = < Q1 , ... , QK0 > ) I ( VARIANT AND HYBRID OF STAT3273, STAT543, STAT3258 AND STAT3266 ) READS A SINGLE Q0-ELEMENT PERMUTATION FROM PERM.INP, AN L0-DIMENSIONAL SEQUENCE OF PROBABILITY WEIGHTS OF ELEMENTS FROM PERM.IN2 WHICH IS GENERATED VIA STAT3246 AS PERM.INP FOR USAGE BY STAT3272 OR STAT3320 AND MAY CONSIST OF GENERIC WEIGHTS FOR L0 ELEMENTS AND AN ARBITRARILY LARGE SEQUENCE OF TRANSLATION EVENTS IN STAT3272.INP. TEST EVENTS ARE FILTERED FROM PERM.INP AND RANKED IN DESCENDING ORDER OF PRODUCTS OR SUMS OF WEIGHTS OF ALL K0 ELEMENTS PER EVENT. AN EVENT IS [*]-QUALIFIED WHENEVER ELEMENT THE SUM OF WEIGHTS OVER K0 COLUMNS EXCEEDS LOWER BOUNDS SELECTED IN REAL-TIME BY THE ANALYST. STAT3272 IS A VARIANT OF STAT3273. HOWEVER, PROBABILITY WEIGHTS OF ELEMENTS ARE NOT DETERMINED IN REAL-TIME FROM STAT3250 AND RECORDED AS STAT3272.IN2 AND STAT3248.IN3 AS ( L0 x K0 ) - DIMENSIONAL BLOCKS WITH TEST EVENTS GENERATED FROM PERM.INP FOR WHICH WEIGHTS OF ALL K0 ELEMENTS LIE IN A RANGE OF PROBABILITIES BETWEEN TWO VECTOSS V1 = < P1, P2, P3, ..., PK0 > AND V2 = < Q1, Q2, Q3, ... , QK0 > IN PROB.INP. [*]-QUALIFYING EVENTS ARE RECORDED IN STAT94.INP, BUT ARE GENERATED DIRECTLY FROM PERM.INP BY SELECTING AND ANALYZING THE NEXT EVENT IN SEQUENCE, RATHER THAN RANDOMLY FROM A SUBROUTINE. CF. STAT3091, STAT3258, STAT3266, STAT543, AND STAT3273. ========================================================================= -- L 3273 -- ( GENERATING ALL [ n C k0 ] k0-ELEMENT EVENTS FROM A PERMUTATION OF SIZE n AND RANKING K0-ELEMENT EVENTS FROM THE GENERATED SEQUENCE IN DESCENDING ORDER OF SUMS OR PRODUCTS OF SCALED PROBABILITY WEIGHTS OF ALL K0 ELEMENTS DETERMINED OVER THE ( IMAX x K0 )-DIMENSIONAL STAR EVENT BLOCK, BASED UPON A NEGATIVE-BINOMIAL PROBABILITY DISTRIBUTION FOR ALL ELEMENTS IN THE K0 SEPARATE COLUMNS ) II ( VARIANT AND HYBRID OF STAT3272, STAT543, STAT3258 AND STAT3266 ) READS A SINGLE Q0-ELEMENT PERMUTATION FROM PERM.INP, AN (L0 x K0) - DIMENSIONAL BLOCK OF PROBABILITY WEIGHTS OF ELEMENTS FROM STAT3273.IN3 WHICH IS GENERATED VIA STAT3250 AS STAT3258.IN3 FOR USAGE BY STAT3273 OR STAT3320 AND MAY CONSIST OF GENERIC WEIGHTS FOR L0 ELEMENTS. TEST EVENTS ARE FILTERED FROM PERM.INP AND RANKED IN DESCENDING ORDER OF PRODUCTS OR SUMS OF WEIGHTS OF ALL K0 ELEMENTS PER EVENT. AN EVENT IS [*]-QUALIFIED WHENEVER ELEMENT THE SUM OF WEIGHTS OVER K0 COLUMNS EXCEEDS A DESIRED LOWERE BOUND, J1, SELECTED BY THE ANALYST. STAT3273 IS A VARIANT OF STAT3272 AND STAT3266. PROBABILITY WEIGHTS OF ELEMENTS ARE DETERMINED IN REAL-TIME FROM STAT3250 AND RECORDED AS STAT3273.IN2 AND STAT3248.IN3 AS ( L0 x K0 ) - DIMENSIONAL BLOCKS WITH TEST EVENTS GENERATED FROM PERM.IN AND STAT3273.IN3 FOR WHICH THE SUM OR PROUCT OF THE K0 WEIGHTS IS .GE. J1*K0. [*]-QUALIFYING EVENTS ARE RECORDED IN STAT94.INP, BUT ARE GENERATED DIRECTLY FROM PERM.INP BY SELECTING AND ANALYZING THE NEXT EVENT IN SEQUENCE, RATHER THAN RANDOMLY FROM A SUBROUTINE. CF. STAT3091, STAT3258, STAT3266, STAT543, AND AND STAT3272. ========================================================================= -- L 3274 -- MONITOR MATRIX GENERATOR XXXXX FREQUENCY COUNTS FOR ELEMENTS IN A LARGE SEQUENCE OF K0-ELEMENT EVENTS V ( VARIANT AND HYBRID OF STAT3247 AND STAT3272 ) ( UTILIZING A GEOMETRIC DISTRIBUTION TO DETERMINE PROBABILITIES BASED UPON CARDINALITIES OF EVENT INTERSECTIONS VS. STAR EVENTS ) UTILIZES A SEQUENCE OF PMAX PERMUTATIONS IN PERM.INP TO GENERATE THE SPECTRUM OF K0 ELEMENT EVENTS FROM PERMUTATIONS OF SIZE ENUM(I) AND INTERSECTS EACH GENERATED TEST EVENT WITH IMAX STAR EVENTS IN THE BASE SET. SUBSEQUENTLY, THE ROUTINE 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. STAT3274 IS A VARIANT STAT1030 AND STAT2343, ANALYZING K0-ELEMENT TEST EVENTS RATHER THAN PERMUTATIONS, WITH EVENTS FILTERED FROM SUB-BLOCKS OF SIZE BMAX. HOWEVER, STAT3274 UTILIZES A GEOMETRIC DISTRIBUTION TO 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 AT LEAST A DESIRED VALUE, Q0. IF THE EXPECTED FREQUENCY CADENCE = 1/K, THEN STAT3274 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. STAT3274 READS SUB-BLOCKS OF INPUT PERMUTATIONS FROM PERM.INP AND UP TO 600 INPUT STAR EVENTS FROM BASE.INP. [*]-QUALIFYING EVENTS ARE FILTERED AND RECORDED IN STAT94.INP, RANKED IN DESCENDING OR ASCENDING ORDER OF JDELTA = MTC - IRATIO WITH IDELTA = 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. STAT3274 IS A DERIVATIVE AND VARIANT AND HYBRID OF STAT3247 AND STAT3272. CF. STAT3272, STAT3247, STAT2349 FOR THE PERMUTATION VERSION. CF. ALSO STAT2514, STAT2604 STAT2606, STAT3149, STAT2343, AND STAT3251. CF. STAT3269 FOR A VERSION OF STAT3274 WHICH RANKS [*]-QUALIFYING EVENTS IN DESCENDING ORDER OF IDELTA = 100000 * Pr( EVENT E is [*]-QUALIFIED). ========================================================================= -- L 3275 -- ( READING AND ANALYZING A (BMAX x K0)-DIMENSIONAL BLOCK OF STAR EVENTS ON ELEMENTS IN < 1, 2, ... , L0 > OVER EACH ONE OF ITS K0 SEPARATE COLUMNS AND UTILIZING A GEOMETRIC DISTRIBUTION TO DETERMINE THE PROBABLITY THAT A SPECIFIED EVENT DETERMINED BY THE ANALYST WILL OCCUR ON SUCCESSIVE TRIAL NUMBER BMAX+1 ) II ( VARIANT AND EXTENSION OF STAT3260 ) READS AND ANALYZES A (BMAX x K0)-DIMENSIONAL BLOCK OF STAR EVENTS AND DETERMINES BMAX BINARY-VALUED ELEMENTS, F(L), L = 1, ... , BMAX, REPRESENTING THE OCCURRENCE OR NON-OCCURRENCE ON TRIAL L OF A SPECIFIED EVENT E DETERMINED BY THE ANALYST. A GEOMETRIC DISTRIBUTION IS THEN UTILIZED TO DETERMINE THE GEOMETRIC PROBABILITY THAT EVENT E WILL OCCUR ON SUCCESSIVE TRIAL NUMBER (BMAX+1), RESTRICTED TO EACH ONE OF THE K0 SEPARATE COLUMNS. STAT3275 ALSO DETERMINES THE ODDS IN FAVOR OF THE OCCURRENCE OF EVENT E, AS WELL AS THE ODDS AGAINST THE OCCURRENCE OF E ON TRIAL NUMBER (BMAX+1). STAT3275 IS A VARIANT AND EXTENSION OF STAT3260, WHICH READS THE OVER K0 SUCCESSIVE COLUMNS AND UTILIZING A GEOMETRIC DISTRIBUTION TO DETERMINE THE PROBABLITY THAT A SPECIFIED EVENT DETERMINED BY THE ANALYST WILL OCCUR ON SUCCESSIVE TRIAL NUMBER BMAX+1 AND LISTING THE OUTCOME OR ITS COMPLEMENT IN EACH ONE OF THE K0 SUCCESSIVE COLUMNS FOR EACH OF FOUR SELECTED METHODS ) III ( VARIANT AND EXTENSION OF STAT3275 ) READS AND ANALYZES A (BMAX x K0)-DIMENSIONAL BLOCK OF STAR EVENTS AND DETERMINES BMAX BINARY-VALUED ELEMENTS, F(L), L = 1, ... , BMAX, REPRESENTING THE OCCURRENCE OR NON-OCCURRENCE ON TRIAL L OF A SPECIFIED EVENT E DETERMINED BY THE ANALYST. A GEOMETRIC DISTRIBUTION IS THEN UTILIZED TO DETERMINE THE GEOMETRIC PROBABILITY THAT EVENT E WILL OCCUR ON SUCCESSIVE TRIAL NUMBER (BMAX+1), RESTRICTED TO EACH ONE OF THE K0 SEPARATE COLUMNS. STAT3276 ALSO DETERMINES THE ODDS IN FAVOR OF THE OCCURRENCE OF EVENT E, AS WELL AS THE ODDS AGAINST THE OCCURRENCE OF E ON TRIAL NUMBER (BMAX+1). STAT3276 IS A VARIANT AND EXTENSION OF STAT3260, WHICH READS THE OVER K0 SUCCESSIVE COLUMNS AND UTILIZING A GEOMETRIC DISTRIBUTION TO DETERMINE THE PROBABLITY THAT A SPECIFIED EVENT DETERMINED BY THE ANALYST WILL OCCUR ON SUCCESSIVE TRIAL NUMBER BMAX+1 AND LISTING THE OUTCOME OR ITS COMPLEMENT IN EACH ONE OF THE K0 SUCCESSIVE COLUMNS FOR EACH OF THREE SELECTED METHODS ) IV ( VARIANT OF STAT3276 ) READS AND ANALYZES A (BMAX x K0)-DIMENSIONAL BLOCK OF STAR EVENTS AND DETERMINES BMAX BINARY-VALUED ELEMENTS, F(L), L = 1, ... , BMAX, REPRESENTING THE OCCURRENCE OR NON-OCCURRENCE ON TRIAL L OF A SPECIFIED EVENT E DETERMINED BY THE ANALYST. A GEOMETRIC DISTRIBUTION IS THEN UTILIZED TO DETERMINE THE GEOMETRIC PROBABILITY THAT EVENT E WILL OCCUR ON SUCCESSIVE TRIAL NUMBER (BMAX+1), RESTRICTED TO EACH ONE OF THE K0 SEPARATE COLUMNS. STAT3277 ALSO DETERMINES THE ODDS IN FAVOR OF THE OCCURRENCE OF EVENT E, AS WELL AS THE ODDS AGAINST THE OCCURRENCE OF E ON TRIAL NUMBER (BMAX+1). STAT3277 IS A VARIANT AND EXTENSION OF STAT3260, WHICH READS THE OVER K0 SUCCESSIVE COLUMNS AND UTILIZING A GEOMETRIC DISTRIBUTION TO DETERMINE THE PROBABLITY THAT A SPECIFIED EVENT DETERMINED BY THE ANALYST WILL OCCUR ON SUCCESSIVE TRIAL NUMBER BMAX+1 AND LISTING THE OUTCOME OR ITS COMPLEMENT IN EACH ONE OF THE K0 SUCCESSIVE COLUMNS FOR EACH OF THREE SELECTED METHODS ) VI ( VARIANT AND ASSOCIATE OF STAT3281 AND STAT3276 ) DETERMINES AND RANKS THE PROBABILITIES OF AN INTERSECTION OF EVENTS OCCURRING ON THE NEXT TRIAL IN A SEQUENCE OF IMAX STAR EVENTS READING AND ANALYZING A (BMAX x K0)-DIMENSIONAL BLOCK OF STAR EVENTS, DETERINGINING AND RANKING THE PROBABILITIES OF A UNION OF EVENTS OCCURRING ON THE NEXT TRIAL IN A SEQUENCE OF IMAX STAR EVENTS ON ELEMENTS IN < 1, 2, ... , L0 > OVER K0 SUCCESSIVE COLUMNS AND UTILIZING A GEOMETRIC DISTRIBUTION TO DETERMINE THE PROBABILITY THAT A SPECIFIED EVENT DETERMINED BY THE ANALYST WILL OCCUR ON NUMBER BMAX+1 AND LISTING THE SUCCESSIVE TRIAL OUTCOME OR THAT OF ITS COMPLEMENT IN EACH ONE OF THE K0 SUCCESSIVE COLUMNS FOR EACH ONE OF THREE SELECTED INDEPENDENT METHODS. THE ROUTINE DETERMINES BMAX BINARY-VALUED ELEMENTS, F(L), L = 1, ... , BMAX, REPRESENTING THE OCCURRENCE OR NON-OCCURRENCE ON TRIAL L OF A SPECIFIED EVENT E DETERMINED BY THE ANALYST. A GEOMETRIC DISTRIBUTION IS THEN UTILIZED TO DETERMINE THE GEOMETRIC PROBABILITY THAT EVENT E WILL OCCUR ON SUCCESSIVE TRIAL NUMBER (BMAX+1), RESTRICTED TO EACH ONE OF THE K0 SEPARATE COLUMNS. STAT3280 ALSO DETERMINES THE ODDS IN FAVOR OF THE OCCURRENCE OF EVENT E, AS WELL AS THE ODDS AGAINST THE OCCURRENCE OF E ON TRIAL NUMBER (BMAX+1). STAT3280 IS A VARIANT AND EXTENSION OF STAT3260, WHICH READS THE OVER K0 SUCCESSIVE COLUMNS AND UTILIZING A GEOMETRIC DISTRIBUTION TO DETERMINE THE PROBABILITY THAT A SPECIFIED EVENT DETERMINED BY THE ANALYST WILL OCCUR ON NUMBER BMAX+1 AND LISTING THE SUCCESSIVE TRIAL OUTCOME OR THAT OF ITS COMPLEMENT IN EACH ONE OF THE K0 SUCCESSIVE COLUMNS FOR EACH ONE OF THREE SELECTED INDEPENDENT METHODS. THE ROUTINE DETERMINES BMAX BINARY-VALUED ELEMENTS, F(L), L = 1, ... , BMAX, REPRESENTING THE OCCURRENCE OR NON-OCCURRENCE ON TRIAL L OF A SPECIFIED EVENT E DETERMINED BY THE ANALYST. A GEOMETRIC DISTRIBUTION IS THEN UTILIZED TO DETERMINE THE GEOMETRIC PROBABILITY THAT EVENT E WILL OCCUR ON SUCCESSIVE TRIAL NUMBER (BMAX+1), RESTRICTED TO EACH ONE OF THE K0 SEPARATE COLUMNS. STAT3281 ALSO DETERMINES THE ODDS IN FAVOR OF THE OCCURRENCE OF EVENT E, AS WELL AS THE ODDS AGAINST THE OCCURRENCE OF E ON TRIAL NUMBER (BMAX+1). STAT3281 IS A VARIANT AND EXTENSION OF STAT3283, WHICH READS THE OVER K0 SUCCESSIVE COLUMNS AND UTILIZING A GEOMETRIC DISTRIBUTION TO DETERMINE THE PROBABLITY THAT A SPECIFIED EVENT DETERMINED BY THE ANALYST WILL OCCUR ON SUCCESSIVE TRIAL NUMBER BMAX+1 AND LISTING THE OUTCOME OR ITS COMPLEMENT IN EACH ONE OF THE K0 SUCCESSIVE COLUMNS FOR EACH OF THREE SELECTED METHODS ) VII ( VARIANT AND ASSOCIATE OF STAT3283 ) DETERMINES AND RANKS THE PROBABILITIES OF AN INTERSECTION OF EVENTS OCCURRING ON THE NEXT TRIAL IN A SEQUENCE OF IMAX STAR EVENTS READING AND ANALYZING A (BMAX x K0)-DIMENSIONAL BLOCK OF STAR EVENTS, DETERINGINING AND RANKING THE PROBABILITIES OF A UNION OF EVENTS OCCURRING ON THE NEXT TRIAL IN A SEQUENCE OF IMAX STAR EVENTS ON ELEMENTS IN < 1, 2, ... , L0 > OVER K0 SUCCESSIVE COLUMNS AND UTILIZING A GEOMETRIC DISTRIBUTION TO DETERMINE THE PROBABILITY THAT A SPECIFIED EVENT DETERMINED BY THE ANALYST WILL OCCUR ON NUMBER BMAX+1 AND LISTING THE SUCCESSIVE TRIAL OUTCOME OR THAT OF ITS COMPLEMENT IN EACH ONE OF THE K0 SUCCESSIVE COLUMNS FOR EACH ONE OF THREE SELECTED INDEPENDENT METHODS. THE ROUTINE DETERMINES BMAX BINARY-VALUED ELEMENTS, F(L), L = 1, ... , BMAX, REPRESENTING THE OCCURRENCE OR NON-OCCURRENCE ON TRIAL L OF A SPECIFIED EVENT E DETERMINED BY THE ANALYST. A GEOMETRIC DISTRIBUTION IS THEN UTILIZED TO DETERMINE THE GEOMETRIC PROBABILITY THAT EVENT E WILL OCCUR ON SUCCESSIVE TRIAL NUMBER (BMAX+1), RESTRICTED TO EACH ONE OF THE K0 SEPARATE COLUMNS. STAT3282 ALSO DETERMINES THE ODDS IN FAVOR OF THE OCCURRENCE OF EVENT E, AS WELL AS THE ODDS AGAINST THE OCCURRENCE OF E ON TRIAL NUMBER (BMAX+1). STAT3282 IS A VARIANT AND EXTENSION OF STAT3281, WHICH READS THE [ 0,1,2 ] (MOD 6) = (012_M6) EVENT E2 : Next Element L has EVEN TEN"S DIGIT = ( ETD ) EVENT E3 : Next Element L has UNIT"S DIGIT < 5 = ( UDL5 ) ========================================================================= -- L 3283 -- ( READS A SEQUENCE OF IMAX K0-ELEMENT STAR EVENTS FROM BASE.INP AND SELECTS NON-REPEATING ELEMENTS FROM EACH ONE OF THE K0 COLUMNS WHICH RESIDE IN THE INTERSECTION OF THREE PRE-ANALYZED EVENTS IN STAT3280 AS ELEMENTS EXPECTED TO OCCUR ON SUCCESSIVE TRIAL NUMBER IMAX+1 IN BASE.INP BASED ON OCCURRENCES IN THE INTERSECTION OF EVENTS E1, E2, AND E3 DETERMINED BY THE ANALYST ) II ( VARIANT AND EXTENSION OF STAT3282 ) STAT3283 READS A SEQUENCE OF IMAX K0-ELEMENT STAR EVENTS FROM BASE.INP AND SELECTS NON-REPEATING ELEMENTS FROM EACH ONE OF THE K0 COLUMNS DETERMINED BY THE INTERSECTION OF THREE PRE-ANALYZED EVENTS IN STAT3280 AS ELEMENTS EXPECTED TO OCCUR ON SUCCESSIVE TRIAL NUMBER IMAX+1 IN BASE.INP BASED ON OCCURRENCES IN THE INTERSECTION OF EVENTS E1, E2, AND E3 DETERMINED BY THE ANALYST, THE INTERSECTIONS OF EVENTS WITH HIGHEST RANKING PROBABILITIES ARE PRE-DETERMINED BY STAT3280 FOR FURTHER ANALYSIS IN STAT3283, BASED UPON THE RANKED PROBABILITIES OF AN INTERSECTION OF EVENTS OCCURRING ON THE NEXT TRIAL IN A SEQUENCE OF IMAX STAR EVENTS READING AND ANALYZING A (BMAX x K0)-DIMENSIONAL BLOCK OF STAR EVENTS, DETERINGINING AND RANKING THE PROBABILITIES OF A UNION OF EVENTS OCCURRING ON THE NEXT TRIAL IN A SEQUENCE OF IMAX STAR EVENTS ON ELEMENTS IN < 1, 2, ... , L0 > OVER K0 SUCCESSIVE COLUMNS AND UTILIZING A GEOMETRIC DISTRIBUTION TO DETERMINE THE PROBABILITY THAT A SPECIFIED EVENT DETERMINED BY THE ANALYST WILL OCCUR ON NUMBER BMAX+1 AND LISTING THE SUCCESSIVE TRIAL OUTCOME OR THAT OF ITS COMPLEMENT IN EACH ONE OF THE K0 SUCCESSIVE COLUMNS FOR EACH ONE OF THREE SELECTED INDEPENDENT METHODS. THE ROUTINE DETERMINES BMAX BINARY-VALUED ELEMENTS, F(L), L = 1, ... , BMAX, REPRESENTING THE OCCURRENCE OR NON-OCCURRENCE ON TRIAL L OF A SPECIFIED EVENT E DETERMINED BY THE ANALYST. A GEOMETRIC DISTRIBUTION IS THEN UTILIZED TO DETERMINE THE GEOMETRIC PROBABILITY THAT EVENT E WILL OCCUR ON SUCCESSIVE TRIAL NUMBER (BMAX+1), RESTRICTED TO EACH ONE OF THE K0 SEPARATE COLUMNS. STAT3283 ALSO DETERMINES THE ODDS IN FAVOR OF THE OCCURRENCE OF EVENT E, AS WELL AS THE ODDS AGAINST THE OCCURRENCE OF E ON TRIAL NUMBER (BMAX+1). STAT3283 IS A VARIANT OF STAT3282, WHICH READS THE OVER K0 SUCCESSIVE COLUMNS AND UTILIZING A GEOMETRIC DISTRIBUTION TO DETERMINE THE PROBABLITY THAT A SPECIFIED EVENT DETERMINED BY THE ANALYST WILL OCCUR ON SUCCESSIVE TRIAL NUMBER BMAX+1 AND LISTING THE OUTCOME OR ITS COMPLEMENT IN EACH ONE OF THE K0 SUCCESSIVE COLUMNS FOR EACH OF THREE SELECTED METHODS ) VIII ( VARIANT AND ASSOCIATE OF STAT3285 ) DETERMINES AND RANKS THE PROBABILITIES OF AN INTERSECTION OF EVENTS OCCURRING ON THE NEXT TRIAL IN A SEQUENCE OF IMAX STAR EVENTS READING AND ANALYZING A (BMAX x K0)-DIMENSIONAL BLOCK OF STAR EVENTS, DETERINGINING AND RANKING THE PROBABILITIES OF A UNION OF EVENTS OCCURRING ON THE NEXT TRIAL IN A SEQUENCE OF IMAX STAR EVENTS ON ELEMENTS IN < 1, 2, ... , L0 > OVER K0 SUCCESSIVE COLUMNS AND UTILIZING A GEOMETRIC DISTRIBUTION TO DETERMINE THE PROBABILITY THAT A SPECIFIED EVENT DETERMINED BY THE ANALYST WILL OCCUR ON NUMBER BMAX+1 AND LISTING THE SUCCESSIVE TRIAL OUTCOME OR THAT OF ITS COMPLEMENT IN EACH ONE OF THE K0 SUCCESSIVE COLUMNS FOR EACH ONE OF THREE SELECTED INDEPENDENT METHODS. THE ROUTINE DETERMINES BMAX BINARY-VALUED ELEMENTS, F(L), L = 1, ... , BMAX, REPRESENTING THE OCCURRENCE OR NON-OCCURRENCE ON TRIAL L OF A SPECIFIED EVENT E DETERMINED BY THE ANALYST. A GEOMETRIC DISTRIBUTION IS THEN UTILIZED TO DETERMINE THE GEOMETRIC PROBABILITY THAT EVENT E WILL OCCUR ON SUCCESSIVE TRIAL NUMBER (BMAX+1), RESTRICTED TO EACH ONE OF THE K0 SEPARATE COLUMNS. STAT3284 ALSO DETERMINES THE ODDS IN FAVOR OF THE OCCURRENCE OF EVENT E, AS WELL AS THE ODDS AGAINST THE OCCURRENCE OF E ON TRIAL NUMBER (BMAX+1). STAT3284 IS A VARIANT AND EXTENSION OF STAT3281, WHICH READS THE [ 0,1 ] (MOD 4) = (01_M4) EVENT E2 : Next Element L is <=> [ 0,1,2 ] (MOD 6) = (012_M6) EVENT E3 : Next Element L is <=> [ 0,1,2,3 ] (MOD 8) = (0123_M8) ========================================================================= -- L 3285 -- ( READS A SEQUENCE OF IMAX K0-ELEMENT STAR EVENTS FROM BASE.INP AND SELECTS NON-REPEATING ELEMENTS FROM EACH ONE OF THE K0 COLUMNS WHICH RESIDE IN THE INTERSECTION OF THREE PRE-ANALYZED EVENTS IN STAT3280 AS ELEMENTS EXPECTED TO OCCUR ON SUCCESSIVE TRIAL NUMBER IMAX+1 IN BASE.INP BASED ON OCCURRENCES IN THE INTERSECTION OF EVENTS E1, E2, and E3 DETERMINED BY THE ANALYST ) IX ( VARIANT AND EXTENSION OF STAT3284 ) STAT3285 READS A SEQUENCE OF IMAX K0-ELEMENT STAR EVENTS FROM BASE.INP AND SELECTS NON-REPEATING ELEMENTS FROM EACH ONE OF THE K0 COLUMNS DETERMINED BY THE INTERSECTION OF THREE PRE-ANALYZED EVENTS IN STAT3280 AS ELEMENTS EXPECTED TO OCCUR ON SUCCESSIVE TRIAL NUMBER IMAX+1 IN BASE.INP BASED ON OCCURRENCES IN THE INTERSECTION OF EVENTS E1, E2, AND E3 DETERMINED BY THE ANALYST, THE INTERSECTIONS OF EVENTS WITH HIGHEST RANKING PROBABILITIES ARE PRE-DETERMINED BY STAT3280 FOR FURTHER ANALYSIS IN STAT3285, BASED UPON THE RANKED PROBABILITIES OF AN INTERSECTION OF EVENTS OCCURRING ON THE NEXT TRIAL IN A SEQUENCE OF IMAX STAR EVENTS READING AND ANALYZING A (BMAX x K0)-DIMENSIONAL BLOCK OF STAR EVENTS, DETERINGINING AND RANKING THE PROBABILITIES OF A UNION OF EVENTS OCCURRING ON THE NEXT TRIAL IN A SEQUENCE OF IMAX STAR EVENTS ON ELEMENTS IN < 1, 2, ... , L0 > OVER K0 SUCCESSIVE COLUMNS AND UTILIZING A GEOMETRIC DISTRIBUTION TO DETERMINE THE PROBABILITY THAT A SPECIFIED EVENT DETERMINED BY THE ANALYST WILL OCCUR ON NUMBER BMAX+1 AND LISTING THE SUCCESSIVE TRIAL OUTCOME OR THAT OF ITS COMPLEMENT IN EACH ONE OF THE K0 SUCCESSIVE COLUMNS FOR EACH ONE OF THREE SELECTED INDEPENDENT METHODS. THE ROUTINE DETERMINES BMAX BINARY-VALUED ELEMENTS, F(L), L = 1, ... , BMAX, REPRESENTING THE OCCURRENCE OR NON-OCCURRENCE ON TRIAL L OF A SPECIFIED EVENT E DETERMINED BY THE ANALYST. A GEOMETRIC DISTRIBUTION IS THEN UTILIZED TO DETERMINE THE GEOMETRIC PROBABILITY THAT EVENT E WILL OCCUR ON SUCCESSIVE TRIAL NUMBER (BMAX+1), RESTRICTED TO EACH ONE OF THE K0 SEPARATE COLUMNS. STAT3285 ALSO DETERMINES THE ODDS IN FAVOR OF THE OCCURRENCE OF EVENT E, AS WELL AS THE ODDS AGAINST THE OCCURRENCE OF E ON TRIAL NUMBER (BMAX+1). STAT3285 IS A VARIANT OF STAT3282, WHICH READS THE [ 0,1 ] (MOD 4) = (01_M4) EVENT E2 : Next Element L is <=> [ 0,1,2 ] (MOD 6) = (012_M6) EVENT E3 : Next Element L is <=> [ 0,1,2,3 ] (MOD 8) = (0123_M8) ========================================================================= -- L 3286 -- ( DETERMINING AND RANKING THE PROBABILITIES OF AN INTERSECTION OF EVENTS OCCURRING ON THE NEXT TRIAL IN A SEQUENCE OF IMAX STAR EVENTS BY READING AND ANALYZING A (BMAX x K0)-DIMENSIONAL BLOCK OF STAR EVENTS ON ELEMENTS IN < 1, 2, ... , L0 > OVER K0 SUCCESSIVE COLUMNS AND UTILIZING A GEOMETRIC DISTRIBUTION TO DETERMINE THE PROBABLITY THAT A SPECIFIED EVENT DETERMINED BY THE ANALYST WILL OCCUR ON SUCCESSIVE TRIAL NUMBER BMAX+1 AND LISTING THE OUTCOME OR ITS COMPLEMENT IN EACH ONE OF THE K0 SUCCESSIVE COLUMNS FOR EACH OF FOUR SELECTED METHODS ) VIII ( VARIANT AND EXTENSION OF STAT3284 ) DETERMINES AND RANKS THE PROBABILITIES OF AN INTERSECTION OF EVENTS OCCURRING ON THE NEXT TRIAL IN A SEQUENCE OF IMAX STAR EVENTS READING AND ANALYZING A (BMAX x K0)-DIMENSIONAL BLOCK OF STAR EVENTS, DETERINGINING AND RANKING THE PROBABILITIES OF A UNION OF EVENTS OCCURRING ON THE NEXT TRIAL IN A SEQUENCE OF IMAX STAR EVENTS ON ELEMENTS IN < 1, 2, ... , L0 > OVER K0 SUCCESSIVE COLUMNS AND UTILIZING A GEOMETRIC DISTRIBUTION TO DETERMINE THE PROBABILITY THAT A SPECIFIED EVENT DETERMINED BY THE ANALYST WILL OCCUR ON NUMBER BMAX+1 AND LISTING THE SUCCESSIVE TRIAL OUTCOME OR THAT OF ITS COMPLEMENT IN EACH ONE OF THE K0 SUCCESSIVE COLUMNS FOR EACH ONE OF FOUR SELECTED INDEPENDENT METHODS. THE ROUTINE DETERMINES BMAX BINARY-VALUED ELEMENTS, F(L), L = 1, ... , BMAX, REPRESENTING THE OCCURRENCE OR NON-OCCURRENCE ON TRIAL L OF A SPECIFIED EVENT E DETERMINED BY THE ANALYST. A GEOMETRIC DISTRIBUTION IS THEN UTILIZED TO DETERMINE THE GEOMETRIC PROBABILITY THAT EVENT E WILL OCCUR ON SUCCESSIVE TRIAL NUMBER (BMAX+1), RESTRICTED TO EACH ONE OF THE K0 SEPARATE COLUMNS. STAT3286 ALSO DETERMINES THE ODDS IN FAVOR OF THE OCCURRENCE OF EVENT E, AS WELL AS THE ODDS AGAINST THE OCCURRENCE OF E ON TRIAL NUMBER (BMAX+1). STAT3286 IS A VARIANT OF STAT3284 AND STAT3281, WHICH READS THE [ 1 ] (MOD 2) = (1_M2) EVENT E2 : Next Element L is <=> [ 0,1 ] (MOD 4) = (01_M4) EVENT E3 : Next Element L is <=> [ 0,1,2 ] (MOD 6) = (012_M6) EVENT E4 : Next Element L is <=> [ 0,1,2,3 ] (MOD 8) = (0123_M8) ========================================================================= -- L 3287 -- ( READS A SEQUENCE OF IMAX K0-ELEMENT STAR EVENTS FROM BASE.INP AND SELECTS NON-REPEATING ELEMENTS FROM EACH ONE OF THE K0 COLUMNS WHICH RESIDE IN THE INTERSECTION OF FOUR PRE-ANALYZED EVENTS IN STAT3280 AS ELEMENTS EXPECTED TO OCCUR ON SUCCESSIVE TRIAL NUMBER IMAX+1 IN BASE.INP BASED ON OCCURRENCES IN THE INTERSECTION OF EVENTS E1, E2, E3, and E4 DETERMINED BY THE ANALYST ) IX ( VARIANT AND EXTENSION OF STAT3285 ) STAT3287 READS A SEQUENCE OF IMAX K0-ELEMENT STAR EVENTS FROM BASE.INP AND SELECTS NON-REPEATING ELEMENTS FROM EACH ONE OF THE K0 COLUMNS DETERMINED BY THE INTERSECTION OF FOUR PRE-ANALYZED EVENTS IN STAT3280 AS ELEMENTS EXPECTED TO OCCUR ON SUCCESSIVE TRIAL NUMBER IMAX+1 IN BASE.INP BASED ON OCCURRENCES IN THE INTERSECTION OF EVENTS E1, E2, AND E3 DETERMINED BY THE ANALYST, THE INTERSECTIONS OF EVENTS WITH HIGHEST RANKING PROBABILITIES ARE PRE-DETERMINED BY STAT3280 FOR FURTHER ANALYSIS IN STAT3287, BASED UPON THE RANKED PROBABILITIES OF AN INTERSECTION OF EVENTS OCCURRING ON THE NEXT TRIAL IN A SEQUENCE OF IMAX STAR EVENTS READING AND ANALYZING A (BMAX x K0)-DIMENSIONAL BLOCK OF STAR EVENTS, DETERINGINING AND RANKING THE PROBABILITIES OF A UNION OF EVENTS OCCURRING ON THE NEXT TRIAL IN A SEQUENCE OF IMAX STAR EVENTS ON ELEMENTS IN < 1, 2, ... , L0 > OVER K0 SUCCESSIVE COLUMNS AND UTILIZING A GEOMETRIC DISTRIBUTION TO DETERMINE THE PROBABILITY THAT A SPECIFIED EVENT DETERMINED BY THE ANALYST WILL OCCUR ON NUMBER BMAX+1 AND LISTING THE SUCCESSIVE TRIAL OUTCOME OR THAT OF ITS COMPLEMENT IN EACH ONE OF THE K0 SUCCESSIVE COLUMNS FOR EACH ONE OF FOUR SELECTED INDEPENDENT METHODS. THE ROUTINE DETERMINES BMAX BINARY-VALUED ELEMENTS, F(L), L = 1, ... , BMAX, REPRESENTING THE OCCURRENCE OR NON-OCCURRENCE ON TRIAL L OF A SPECIFIED EVENT E DETERMINED BY THE ANALYST. A GEOMETRIC DISTRIBUTION IS THEN UTILIZED TO DETERMINE THE GEOMETRIC PROBABILITY THAT EVENT E WILL OCCUR ON SUCCESSIVE TRIAL NUMBER (BMAX+1), RESTRICTED TO EACH ONE OF THE K0 SEPARATE COLUMNS. STAT3287 ALSO DETERMINES THE ODDS IN FAVOR OF THE OCCURRENCE OF EVENT E, AS WELL AS THE ODDS AGAINST THE OCCURRENCE OF E ON TRIAL NUMBER (BMAX+1). STAT3287 IS A VARIANT OF STAT3282, WHICH READS THE [ 1 ] (MOD 2) = (1_M2) EVENT E2 : Next Element L is <=> [ 0,1 ] (MOD 4) = (01_M4) EVENT E3 : Next Element L is <=> [ 0,1,2 ] (MOD 6) = (012_M6) EVENT E4 : Next Element L is <=> [ 0,1,2,3 ] (MOD 8) = (0123_M8) ========================================================================= -- L 3288 -- ( 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 IN DESCENDING ORDER OF SUMS OF PROBABILITY WEIGHTS OF ALL K0 ELEMENTS DETERMINED OVER EACH ONE OF K0 SEPARATE COLUMNS, BASED UPON A NEGATIVE-BINOMIAL PROBABILITY DISTRIBUTION FOR ALL ELEMENTS VIA LOWER AND UPPER BOUND WEIGHT-SUMS FOR K0-ELEMENT EVENTS ) IV ( VARIANT AND HYBRID OF STAT3272, STAT543, STAT3258 AND STAT3266 ) READS A SELECTED K0-ELEMENT TRANSLATION VECTOR FROM STAT3288.INP AND A ( K0 x ENUM(I) )-DIMENSIONAL BLOCK OF PERMUTATION ELEMENTS, WHERE THE K0 ROWS ARE DISTINCT, AN ( L0 x K0 )-DIMENSIONAL BLOCK OF PROBABILITY WEIGHTS OF ELEMENTS FROM STAT3288.IN3 WHICH IS GENERATED VIA STAT3250 AS STAT3288.IN3 FOR USAGE BY STAT3288, AND A SEQUENCE OF IMAX K0-ELEMENT STAR EVENTS FROM BASE.INP. STAT3288.IN3 MAY CONSIST OF FREQUENCIES OR ANY DESIRED WEIGHTS FOR L0 ELEMENTS. TEST EVENTS ARE FILTERED FROM STAT3288.INP AND RANKED IN DESCENDING ORDER OF SUMS OF WEIGHTS OF ALL K0 ELEMENTS PER EVENT. AN EVENT IS FILTERED AS [*]-QUALIFIED WHENEVER THE SUM OF ELEMENT WEIGHTS OVER K0 ALL COLUMNS LIES WITHIN [J1,J2] SELECTED IN REAL-TIME BY THE ANALYST. STAT3288 IS A VARIANT OF STAT3272. PROBABILITY WEIGHTS OF ELEMENTS ARE DETERMINED IN REAL-TIME FROM STAT3250 AND RECORDED AS STAT3288.IN2 AND STAT3248.IN3 AS ( L0 x K0 ) - DIMENSIONAL BLOCKS WITH TEST EVENTS FILTERED FROM STAT3288.INP FOR WHICH WEIGHTS OF ALL K0 ELEMENTS LIE IN A RANGE OF PROBABILITIES BETWEEN TWO VECTOSS V1 = < P1, P2, P3, ..., PK0 > AND V2 = < Q1, Q2, Q3, ... , QK0 > IN PROB.INP. [*]-QUALIFYING EVENTS ARE RECORDED IN STAT94.INP, BUT ARE GENERATED DIRECTLY FROM PERM.INP BY SELECTING AND ANALYZING THE NEXT EVENT IN SEQUENCE, RATHER THAN RANDOMLY FROM A SUBROUTINE. CF. STAT3277, STAT3091, STAT3258, STAT3266, STAT543, AND STAT3288. ========================================================================= -- L 3289 -- ( GENERATING ALL [ n C k0 ] k0-ELEMENT EVENTS FROM A ( K0-2 x ENUM(I) )- DIMENSIONAL BLOCK OF PERMUTATION ELEMENTS, WHERE THE K0-2 ROWS ARE DISTINCT, AND RANKING K0-ELEMENT EVENTS FROM THE GENERATED SEQUENCE IN DESCENDING ORDER OF PRODUCTS OF PROBABILITY WEIGHTS OF ALL K0 ELEMENTS DETERMINED OVER EACH ONE OF K0 SEPARATE COLUMNS, BASED UPON A GEOMETRIC PROBABILITY DISTRIBUTION FOR ALL ELEMENTS VIA LOWER AND UPPER BOUND PROBABITY VECTORS V1 = < P1 , ... , PK0 > AND V2 = < Q1 , ... , QK0 > ) V ( VARIANT OF STAT3288, STAT3272, STAT543, STAT3258 AND STAT3266 ) READS A ( K0-2 x ENUM(I) )-DIMENSIONAL BLOCK OF PERMUTATION ELEMENTS, WHERE THE K0 ROWS ARE DISTINCT, AN ( L0 x K0 )-DIMENSIONAL BLOCK OF PROBABILITY WEIGHTS OF ELEMENTS FROM STAT3289.IN3 WHICH IS GENERATED VIA STAT3250 AS STAT3289.IN3 FOR USAGE BY STAT3289, AND A SEQUENCE OF IMAX K0-ELEMENT STAR EVENTS FROM BASE.INP. STAT3289.IN3 MAY CONSIST OF FREQUENCIES OR ANY DESIRED WEIGHTS FOR L0 ELEMENTS. TEST EVENTS ARE FILTERED FROM STAT3289.INP AND RANKED IN DESCENDING ORDER OF PRODUCTS OF WEIGHTS OF ALL K0 ELEMENTS PER EVENT. AN EVENT IS FILTERED AS [*]-QUALIFIED WHENEVER ELEMENT WEIGHTS OVER K0 COLUMNS EXCEEDS LOWER BOUNDS SELECTED IN REAL-TIME BY THE ANALYST. STAT3289 IS A VARIANT OF STAT3288. HOWEVER, A TOTAL OF ENUM(1)_C_ 3 SUCCESSIVE ELEMENTS ARE SELECTED FROM PERM1 IN PERM.INP, WHILE 1 ELEMENT IS SUCCESSIVELF SELECTED FROM THE REMAINING 2 OR 3 INPUT PERMUTATIONS IN PERM.INP. PROBABILITY WEIGHTS OF ELEMENTS ARE DETERMINED IN REAL-TIME FROM STAT3250 AND RECORDED AS STAT3289.IN2 AND STAT3248.IN3 AS ( L0 x K0 ) - DIMENSIONAL BLOCKS WITH TEST EVENTS FILTERED FROM STAT3289.INP FOR WHICH WEIGHTS OF ALL K0 ELEMENTS LIE IN A RANGE OF PROBABILITIES BETWEEN TWO VECTOSS V1 = < P1, P2, P3, ..., PK0 > AND V2 = < Q1, Q2, Q3, ... , QK0 > IN PROB.INP. [*]-QUALIFYING EVENTS ARE RECORDED IN STAT94.INP, BUT ARE GENERATED DIRECTLY FROM PERM.INP BY SELECTING AND ANALYZING THE NEXT EVENT IN SEQUENCE, RATHER THAN RANDOMLY FROM A SUBROUTINE. CF. STAT3277, STAT3091, STAT3258, STAT3266, STAT543, AND STAT3289. ========================================================================= -- L 3290 -- ( GENERATING K0-ELEMENT EVENTS FROM A FIXED BLOCK OF EVENTS BY THE CYCLICAL SELECTION AND TRANSLATION OF FIXED SUBSEQUENCES OF ELEMENTS FROM SUCCESSIVE TRIADS OF BMAX EVENTS ) STAT3290 READS A SEQUENCE OF BMAX K0-ELEMENT TEST EVENTS FROM STAT3290.INP AND AN ARBITRARY SEQUENCE OF K0-ELEMENT TRANSLATION VECTORS IN STAT3290.IN2, UTILIZED TO GENERATE A SEQUENCE OF EVENTS CONSISTING OF K0-ELEMENT EVENTS FROM THE FIXED BLOCK OF EVENTS BY THE CYCLICAL SELECTION OF FIXED SUBSEQUENCES OF SUCCESSIVE TRIADS OF ELEMENTS OVER BMAX EVENTS. TRANSLATED TEST EVENTS ARE RECORDED IN STAT94.INP. STAT3290 IS A VARIANT OF STAT3202, GENERATING EVENTS OF SIZE K0 = 5 OR 6. CF. STAT3121 OR OTHER ROUTINES FOR THE GENERATION OF STAT3290.INP AS STAT94.INP. ========================================================================= -- L 3291 -- ( GENERATING K0-ELEMENT EVENTS FROM A FIXED Q0-DIMENSIONAL PERMUTATION P(L> BY THE SELECTION OF THE LEADING 3 ELEMENTS IN UNION WITH A SEQUENCE OF (K0-3)-ELEMENT SUBSETS WITH ELEMENTS SEPARATED BY A SELECTED DISPLACEMENT, V0 ) STAT3291 READS A FIXED PERMUTATION < P(L),L=1,...,Q0 > FROM PERM.INP AND GENERATES A SEQUENCE OF K0-ELEMENT EVENTS BY THE SELECTION OF THE LEADING 3 ELEMENTS IN IN UNION WITH (K0-3)-ELEMENT SUBSTRINGS HAVING ELEMENTS SEPARATED BY A SELECTED DISPLACEMENT, V0. THE GENERATED SEQUENCE OF K0-ELEMENT EVENTS IS RECORDED IN STAT94.INP. PERM.INP MAY BE GENERATED BY STAT3246 AS PERM.OUT. ========================================================================= -- L 3292 -- ( GENERATING ALL [ n C 2 ] 2-ELEMENT EVENTS FROM A PERMUTATION OF SIZE n AND RANKING K0-ELEMENT EVENTS FROM THE GENERATED SEQUENCE IN DESCENDING ORDER OF PRODUCTS OF PROBABILITY WEIGHTS OF BOTH ELEMENTS DETERMINED OVER EACH ONE OF K0 SEPARATE COLUMNS, BASED UPON A GEOMETRIC PROBABILITY DISTRIBUTION FOR ALL ELEMENTS VIA LOWER AND UPPER BOUND PROBABITY VECTORS V1 = < P1 , ... , PK0 > AND V2 = < Q1 , ... , QK0 > ) I ( VARIANT AND HYBRID OF STAT3272, STAT543, STAT3258 AND STAT3266 ) READS A SINGLE Q0-ELEMENT PERMUTATION FROM PERM.INP, AN (L0 x K0)- BLOCK OF PROBABILITY WEIGHTS OF ELEMENTS FROM STAT3292.IN3 WHICH IS GENERATED VIA STAT3250 AS STAT3292.IN3 FOR USAGE BY STAT3292, AND A SEQUENCE OF IMAX K0-ELEMENT K0-ELEMENT STAR EVENTS FROM BASE.INP. 2-ELT. EVENTS ARE FILTERED FROM PERM.INP AND RANKED IN DESCENDING ORDER OF PRODUCTS OF WEIGHTS OF ALL K0 ELEMENTS PER EVENT. AN EVENT IS FILTERED AS [*]-QUALIFIED WHENEVER ELEMENT WEIGHTS OVER K0 COLUMNS EXCEED LOWER BOUNDS SELECTED IN REAL-TIME BY THE ANALYST. STAT3292 IS A VARIANT OF STAT3272. HOWEVER, PROBABILITY WEIGHTS OF ELEMENTS ARE DETERMINED IN REAL-TIME FROM STAT3250 AND RECORDED AS STAT3292.IN2 AND STAT3248.IN3 AS ( L0 x K0 ) - DIMENSIONAL BLOCKS. [*]-QUALIFYING EVENTS ARE RECORDED IN STAT94.INP, BUT ARE GENERATED DIRECTLY FROM PERM.INP BY SELECTING AND ANALYZING TJE MEXT EVENT IN SEQUENCE, RATHER THAN RANDOMLY FROM A SUBROUTINE. CF. STAT3272, STAT3091, STAT3258, STAT3266, STAT543, AND STAT3292. ========================================================================= -- L 3293 -- ( GENERATING ALL [ n C 3 ] 3-ELEMENT EVENTS FROM A PERMUTATION OF SIZE n AND RANKING K0-ELEMENT EVENTS FROM THE GENERATED SEQUENCE IN DESCENDING ORDER OF PRODUCTS OF PROBABILITY WEIGHTS OF ALL 3 ELEMENTS DETERMINED OVER EACH ONE OF K0 SEPARATE COLUMNS, BASED UPON A GEOMETRIC PROBABILITY DISTRIBUTION FOR ALL ELEMENTS VIA LOWER AND UPPER BOUND PROBABITY VECTORS V1 = < P1 , ... , PK0 > AND V2 = < Q1 , ... , QK0 > ) I ( VARIANT AND HYBRID OF STAT3272, STAT543, STAT3258 AND STAT3266 ) READS A SINGLE Q0-ELEMENT PERMUTATION FROM PERM.INP, AN (L0 x K0)- BLOCK OF PROBABILITY WEIGHTS OF ELEMENTS FROM STAT3293.IN3 WHICH IS GENERATED VIA STAT3250 AS STAT3293.IN3 FOR USAGE BY STAT3293, AND A SEQUENCE OF IMAX K0-ELEMENT K0-ELEMENT STAR EVENTS FROM BASE.INP. 3-ELT. EVENTS ARE FILTERED FROM PERM.INP AND RANKED IN DESCENDING ORDER OF PRODUCTS OF WEIGHTS OF ALL K0 ELEMENTS PER EVENT. AN EVENT IS FILTERED AS [*]-QUALIFIED WHENEVER ELEMENT WEIGHTS OVER K0 COLUMNS EXCEED LOWER BOUNDS SELECTED IN REAL-TIME BY THE ANALYST. STAT3293 IS A VARIANT OF STAT3272. HOWEVER, PROBABILITY WEIGHTS OF ELEMENTS ARE DETERMINED IN REAL-TIME FROM STAT3250 AND RECORDED AS STAT3293.IN2 AND STAT3248.IN3 AS ( L0 x K0 ) - DIMENSIONAL BLOCKS. [*]-QUALIFYING EVENTS ARE RECORDED IN STAT94.INP, BUT ARE GENERATED DIRECTLY FROM PERM.INP BY SELECTING AND ANALYZING TJE MEXT EVENT IN SEQUENCE, RATHER THAN RANDOMLY FROM A SUBROUTINE. CF. STAT3272, STAT3091, STAT3258, STAT3266, STAT543, AND STAT3293. ========================================================================= -- L 3294 -- ( GENERATING ALL [ n C 4 ] 4-ELEMENT EVENTS FROM A PERMUTATION OF SIZE n AND RANKING K0-ELEMENT EVENTS FROM THE GENERATED SEQUENCE IN DESCENDING ORDER OF PRODUCTS OF PROBABILITY WEIGHTS OF ALL 4 ELEMENTS DETERMINED OVER EACH ONE OF K0 SEPARATE COLUMNS, BASED UPON A GEOMETRIC PROBABILITY DISTRIBUTION FOR ALL ELEMENTS VIA LOWER AND UPPER BOUND PROBABITY VECTORS V1 = < P1 , ... , PK0 > AND V2 = < Q1 , ... , QK0 > ) I ( VARIANT AND HYBRID OF STAT3272, STAT543, STAT3258 AND STAT3266 ) READS A SINGLE Q0-ELEMENT PERMUTATION FROM PERM.INP, AN (L0 x K0)- BLOCK OF PROBABILITY WEIGHTS OF ELEMENTS FROM STAT3294.IN3 WHICH IS GENERATED VIA STAT3250 AS STAT3294.IN3 FOR USAGE BY STAT3294, AND A SEQUENCE OF IMAX K0-ELEMENT K0-ELEMENT STAR EVENTS FROM BASE.INP. 4-ELT. EVENTS ARE FILTERED FROM PERM.INP AND RANKED IN DESCENDING ORDER OF PRODUCTS OF WEIGHTS OF ALL K0 ELEMENTS PER EVENT. AN EVENT IS FILTERED AS [*]-QUALIFIED WHENEVER ELEMENT WEIGHTS OVER K0 COLUMNS EXCEED LOWER BOUNDS SELECTED IN REAL-TIME BY THE ANALYST. STAT3294 IS A VARIANT OF STAT3272. HOWEVER, PROBABILITY WEIGHTS OF ELEMENTS ARE DETERMINED IN REAL-TIME FROM STAT3250 AND RECORDED AS STAT3294.IN2 AND STAT3248.IN3 AS ( L0 x K0 ) - DIMENSIONAL BLOCKS. [*]-QUALIFYING EVENTS ARE RECORDED IN STAT94.INP, BUT ARE GENERATED DIRECTLY FROM PERM.INP BY SELECTING AND ANALYZING TJE MEXT EVENT IN SEQUENCE, RATHER THAN RANDOMLY FROM A SUBROUTINE. CF. STAT3272, STAT3091, STAT3258, STAT3266, STAT543, AND STAT3294. ========================================================================= -- L 3295 -- ( GENERATING ALL [ n C 5 ] 5-ELEMENT EVENTS FROM A PERMUTATION OF SIZE n AND RANKING K0-ELEMENT EVENTS FROM THE GENERATED SEQUENCE IN DESCENDING ORDER OF PRODUCTS OF PROBABILITY WEIGHTS OF ALL 5 ELEMENTS DETERMINED OVER EACH ONE OF K0 SEPARATE COLUMNS, BASED UPON A GEOMETRIC PROBABILITY DISTRIBUTION FOR ALL ELEMENTS VIA LOWER AND UPPER BOUND PROBABITY VECTORS V1 = < P1 , ... , PK0 > AND V2 = < Q1 , ... , QK0 > ) I ( VARIANT AND HYBRID OF STAT3272, STAT543, STAT3258 AND STAT3266 ) READS A SINGLE Q0-ELEMENT PERMUTATION FROM PERM.INP, AN (L0 x K0)- BLOCK OF PROBABILITY WEIGHTS OF ELEMENTS FROM STAT3295.IN3 WHICH IS GENERATED VIA STAT3250 AS STAT3295.IN3 FOR USAGE BY STAT3295, AND A SEQUENCE OF IMAX K0-ELEMENT K0-ELEMENT STAR EVENTS FROM BASE.INP. 5-ELT. EVENTS ARE FILTERED FROM PERM.INP AND RANKED IN DESCENDING ORDER OF PRODUCTS OF WEIGHTS OF ALL K0 ELEMENTS PER EVENT. AN EVENT IS FILTERED AS [*]-QUALIFIED WHENEVER ELEMENT WEIGHTS OVER K0 COLUMNS EXCEED LOWER BOUNDS SELECTED IN REAL-TIME BY THE ANALYST. STAT3295 IS A VARIANT OF STAT3272. HOWEVER, PROBABILITY WEIGHTS OF ELEMENTS ARE DETERMINED IN REAL-TIME FROM STAT3250 AND RECORDED AS STAT3295.IN2 AND STAT3248.IN3 AS ( L0 x K0 ) - DIMENSIONAL BLOCKS. [*]-QUALIFYING EVENTS ARE RECORDED IN STAT94.INP, BUT ARE GENERATED DIRECTLY FROM PERM.INP BY SELECTING AND ANALYZING TJE MEXT EVENT IN SEQUENCE, RATHER THAN RANDOMLY FROM A SUBROUTINE. CF. STAT3272, STAT3091, STAT3258, STAT3266, STAT543, AND STAT3295. ========================================================================= -- L 3296 -- ( GENERATING ALL [ n C 6 ] 6-ELEMENT EVENTS FROM A PERMUTATION OF SIZE n AND RANKING K0-ELEMENT EVENTS FROM THE GENERATED SEQUENCE IN DESCENDING ORDER OF PRODUCTS OF PROBABILITY WEIGHTS OF ALL 6 ELEMENTS DETERMINED OVER EACH ONE OF K0 SEPARATE COLUMNS, BASED UPON A GEOMETRIC PROBABILITY DISTRIBUTION FOR ALL ELEMENTS VIA LOWER AND UPPER BOUND PROBABITY VECTORS V1 = < P1 , ... , PK0 > AND V2 = < Q1 , ... , QK0 > ) I ( VARIANT AND HYBRID OF STAT3272, STAT543, STAT3258 AND STAT3266 ) READS A SINGLE Q0-ELEMENT PERMUTATION FROM PERM.INP, AN (L0 x K0)- BLOCK OF PROBABILITY WEIGHTS OF ELEMENTS FROM STAT3296.IN3 WHICH IS GENERATED VIA STAT3250 AS STAT3296.IN3 FOR USAGE BY STAT3296, AND A SEQUENCE OF IMAX K0-ELEMENT K0-ELEMENT STAR EVENTS FROM BASE.INP. 6-ELT. EVENTS ARE FILTERED FROM PERM.INP AND RANKED IN DESCENDING ORDER OF PRODUCTS OF WEIGHTS OF ALL K0 ELEMENTS PER EVENT. AN EVENT IS FILTERED AS [*]-QUALIFIED WHENEVER ELEMENT WEIGHTS OVER K0 COLUMNS EXCEED LOWER BOUNDS SELECTED IN REAL-TIME BY THE ANALYST. STAT3296 IS A VARIANT OF STAT3272. HOWEVER, PROBABILITY WEIGHTS OF ELEMENTS ARE DETERMINED IN REAL-TIME FROM STAT3250 AND RECORDED AS STAT3296.IN2 AND STAT3248.IN3 AS ( L0 x K0 ) - DIMENSIONAL BLOCKS. [*]-QUALIFYING EVENTS ARE RECORDED IN STAT94.INP, BUT ARE GENERATED DIRECTLY FROM PERM.INP BY SELECTING AND ANALYZING TJE MEXT EVENT IN SEQUENCE, RATHER THAN RANDOMLY FROM A SUBROUTINE. CF. STAT3272, STAT3091, STAT3258, STAT3266, STAT543, AND STAT3296. ========================================================================= -- L 3297 -- ( GENERATING ALL [ n C k0 ] k0-ELEMENT EVENTS FROM A ( 2 x ENUM(I) )- DIMENSIONAL BLOCK OF PERMUTATION ELEMENTS, WHERE THE K0 ROWS ARE DISTINCT, AND RANKING K0-ELEMENT EVENTS FROM THE GENERATED SEQUENCE IN DESCENDING ORDER OF PRODUCTS OF PROBABILITY WEIGHTS OF ALL K0 ELEMENTS DETERMINED OVER EACH ONE OF K0 SEPARATE COLUMNS, BASED UPON A GEOMETRIC PROBABILITY DISTRIBUTION FOR ALL ELEMENTS VIA LOWER AND UPPER BOUND PROBABITY VECTORS V1 = < P1 , ... , PK0 > AND V2 = < Q1 , ... , QK0 > ) IV ( VARIANT AND HYBRID OF STAT3288, STAT543, STAT3258 AND STAT3266 ) READS A ( 2 x ENUM(I) )-DIMENSIONAL BLOCK OF PERMUTATION ELEMENTS, WHERE THE 2 ROWS ARE DISTINCT, AN ( L0 x K0 )-DIMENSIONAL BLOCK OF PROBABILITY WEIGHTS OF ELEMENTS FROM STAT3297.IN3 WHICH IS GENERATED VIA STAT3250 AS STAT3297.IN3 FOR USAGE BY STAT3297, AND A SEQUENCE OF IMAX K0-ELEMENT STAR EVENTS FROM BASE.INP. STAT3297.IN3 MAY CONSIST OF FREQUENCIES OR ANY DESIRED WEIGHTS FOR L0 ELEMENTS. TEST EVENTS ARE FILTERED FROM STAT3297.INP AND RANKED IN DESCENDING ORDER OF PRODUCTS OF WEIGHTS OF ALL K0 ELEMENTS PER EVENT. AN EVENT IS FILTERED AS [*]-QUALIFIED WHENEVER ELEMENT WEIGHTS OVER K0 COLUMNS EXCEEDS LOWER BOUNDS SELECTED IN REAL-TIME BY THE ANALYST. STAT3297 IS A VARIANT OF STAT3288. PROBABILITY WEIGHTS OF ELEMENTS ARE DETERMINED IN REAL-TIME FROM STAT3250 AND RECORDED AS STAT3297.IN2 AND STAT3248.IN3 AS ( L0 x K0 ) - DIMENSIONAL BLOCKS WITH TEST EVENTS FILTERED FROM STAT3297.INP FOR WHICH WEIGHTS OF ALL K0 ELEMENTS LIE IN A RANGE OF PROBABILITIES BETWEEN TWO VECTOSS V1 = < P1, P2, P3, ..., PK0 > AND V2 = < Q1, Q2, Q3, ... , QK0 > IN PROB.INP. [*]-QUALIFYING EVENTS ARE RECORDED IN STAT94.INP, BUT ARE GENERATED DIRECTLY FROM PERM.INP BY SELECTING AND ANALYZING THE NEXT EVENT IN SEQUENCE, RATHER THAN RANDOMLY FROM A SUBROUTINE. CF. STAT3277, STAT3091, STAT3258, STAT3266, STAT543, AND STAT3297. ========================================================================= -- L 3298 -- ( GENERATING ALL [ n C k0 ] k0-ELEMENT EVENTS FROM A ( 2 x ENUM(I) )- DIMENSIONAL BLOCK OF PERMUTATION ELEMENTS, WHERE THE K0 ROWS ARE DISTINCT, AND RANKING K0-ELEMENT EVENTS FROM THE GENERATED SEQUENCE IN DESCENDING ORDER OF PRODUCTS OF PROBABILITY WEIGHTS OF ALL K0 ELEMENTS DETERMINED OVER EACH ONE OF K0 SEPARATE COLUMNS, BASED UPON A GEOMETRIC PROBABILITY DISTRIBUTION FOR ALL ELEMENTS VIA LOWER AND UPPER BOUND PROBABITY VECTORS V1 = < P1 , ... , PK0 > AND V2 = < Q1 , ... , QK0 > ) IV ( VARIANT AND HYBRID OF STAT3297, STAT543, STAT3258 AND STAT3266 ) READS A ( 2 x ENUM(I) )-DIMENSIONAL BLOCK OF PERMUTATION ELEMENTS, WHERE THE 2 ROWS ARE DISTINCT, AN ( L0 x K0 )-DIMENSIONAL BLOCK OF PROBABILITY WEIGHTS OF ELEMENTS FROM STAT3298.IN3 WHICH IS GENERATED VIA STAT3250 AS STAT3298.IN3 FOR USAGE BY STAT3298, AND A SEQUENCE OF IMAX K0-ELEMENT STAR EVENTS FROM BASE.INP. STAT3298.IN3 MAY CONSIST OF FREQUENCIES OR ANY DESIRED WEIGHTS FOR L0 ELEMENTS. TEST EVENTS ARE FILTERED FROM STAT3298.INP AND RANKED IN DESCENDING ORDER OF PRODUCTS OF WEIGHTS OF ALL K0 ELEMENTS PER EVENT. AN EVENT IS FILTERED AS [*]-QUALIFIED WHENEVER ELEMENT WEIGHTS OVER K0 COLUMNS EXCEEDS LOWER BOUNDS SELECTED IN REAL-TIME BY THE ANALYST. STAT3298 IS A VARIANT OF STAT3297. PROBABILITY WEIGHTS OF ELEMENTS ARE DETERMINED IN REAL-TIME FROM STAT3250 AND RECORDED AS STAT3298.IN2 AND STAT3248.IN3 AS ( L0 x K0 ) - DIMENSIONAL BLOCKS WITH TEST EVENTS FILTERED FROM STAT3298.INP FOR WHICH WEIGHTS OF ALL K0 ELEMENTS LIE IN A RANGE OF PROBABILITIES BETWEEN TWO VECTOSS V1 = < P1, P2, P3, ..., PK0 > AND V2 = < Q1, Q2, Q3, ... , QK0 > IN PROB.INP. [*]-QUALIFYING EVENTS ARE RECORDED IN STAT94.INP, BUT ARE GENERATED DIRECTLY FROM PERM.INP BY SELECTING AND ANALYZING THE NEXT EVENT IN SEQUENCE, RATHER THAN RANDOMLY FROM A SUBROUTINE. CF. STAT3277, STAT3091, STAT3258, STAT3266, STAT543, AND STAT3298. ========================================================================= -- L 3299 -- MONITOR MATRIX GENERATOR XXXX 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 GEOMETRIC DISTRIBUTION FUNCTION OVER EACH ONE OF K0 SEPARATE COLUMNS ) 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. STAT3299 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 THE GEOMETRIC DISTRIBUTION DETERMINING THE PROBABILITY THAT EACH ELEMENT L WILL OCCUR FOLLOWING THE FINAL STAR EVENT. A DETERMINED THRESHOLD VALUE, M0, BASED UPON STAR EVENT INDEXES. STAT3299 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). STAT3299 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. STAT3299 IS A VARIANT OF STAT3250, BUT UTILIZES A DIFFERENT ALGORITHMIC TECHNIQUE FOR DETERMINING HIGH-PROBABILITY ELEMENTS. SIGNIFICANTLY, STAT3299 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 GEOMETRIC DISTRIBUTION FUNCTION ) 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. STAT3300 IS A VARIANT OF STAT3246, ANALYZING EACH FIXED ELEMENT OF T, RATHER THAN INTERSECTIONS OF K0-ELEMENT EVENTS VS. THE BASE SET OF STAR EVENTS, BUT FILTERING 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. STAT3300 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). STAT3300 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. STAT3300 IS A VARIANT OF STAT3246, BUT UTILIZES A DIFFERENT ALGORITHMIC TECHNIQUE FOR DETERMINING HIGH-PROBABILITY ELEMENTS. SIGNIFICANTLY, STAT3300 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) = MTC - J0 , WHERE 1 / J0 IS THE GEOM. OCCURRENCE CADENCE OR D(L) = MTC - J0 , WHERE 1 / JNUM IS THE FREQUENCY OCCURRENCE CADENCE OF ELEMENT L OVER IMAX STAR EVENTS AND MTC IS THE NUMBER OF 0"S IN THE TAIL OF THE OCCURRENCE MATRIX FOR ELEMENT L VS. IMAX STAR EVENTS. D(L) , FOR EACH ELEMENT L = 1,2, ... , L0 IS RECORDED IN PERM2.INP FOR FURTHER ANALYSIS AS PERM.INP. CF. STAT3152 FOR ANALYSIS OF K0 SEPARATE COLUMNS OF STAR EVENTS. A CUMULATIVE FILE OF K0-ELEMENT TEST STAR EVENTS, ALONG WITH THEIR CORRESPONDING WEIGHT SUMS OVER K0 ELEMENTS, IS RECORDED IN CUMULAT.OUT. CF. STAT3250 FOR A VERSION OF STAT3300 WHICH ANALYZES THE L0 ELEMENTS IN EACH ONE OF K0 SEPARATE COLUMNS. ========================================================================= -- L 3301 -- ( GENERATING LEXICOGRAPHIC K0-ELEMENT EVENTS FROM EACH Q0-ELEMENT PERMUTATION OF A FIXED BLOCK OF PERMUTATIONS BY SELECTING EVENTS WHICH HAVE INDICES CONGRUENT TO 1 (MOD M) FOR SOME INDEX M AUTOMATICALLY COMPUTED IN REAL TIME ) II ( VARIANT AND HYBRID OF STAT3121 AND STAT201 ) STAT3301 READS A SET OF K0-ELEMENT TRANSLATION VECTORS FROM STAT3301.IN2 AND A SEQUENCE OF K0 BASE SETS OF VARIABLE SIZES N1,N2, ... , NK0 FROM STAT3301.INP AND GENERATES K0-ELEMENT EVENTS WHICH CONTAIN A DISTINCT REPRESENTATIVE FROM EACH OF THE K0 BASE SETS WITH, E.G., K0 = 5. K0 CAN RANGE BETWEEN 2 AND 6. THE MAXIMUM BASE SET SIZES ARE SUCH THAT N1*N2*N3*...*NK0 < 6400/K0. THE TOTAL NUMBER OF EVENTS IS LIMITED, AS DESIRED. THE ANALYST IS PROMPTED FOR THE MAXIMUM NUMBER OF EVENTS DESIRED AND THE INDEX OF THE STARTING OR INITIAL EVENT DESIRED, FROM WHICH THE ROUTINE DETERMINES THE APPROPRIATE STEP-SIZE FOR PRINTING THE DESIRED NUMBER OF EVENTS. STAT2986 MAY BE UTILIZED TO CHECK INTERSECTIONS VS. STAR EVENTS. STAT3301 IS AN HYBRID OF STAT3121 AND STAT201. CF. STAT3168 AND STAT3168. THE TRANSPOSE OF STAT3301.INP IS RECORDED AS STAT3301.IN4 FOR FUTURE USAGE AS STAT3301.INP. THE INTEGER M, TO WHICH THE INDEX OF EACH GENERATED TEST EVENT WILL BE CONGRUENT ( MOD M ) OVER EACH INPUT PERMUTATION, IS AUTOMATICALLY DETERMINED BY THE ROUTINE IN REAL TIME, RATHER THAN BEING ENTERED BY THE ANALYST. CF. STAT3032, STAT1015, STAT3121, AND STAT201. STAT3301 ALSO GENERATES STAT3301.OT2, AN ( IMAX x K0 )-DIMENSIONAL BLOCK OF EVENTS < D(J) > , WHERE D(J) IS THE SUM OF THE UNIT's AND TENS's DIGITS OF ELEMENT A(I,J), J = 1, ... , K0 AND I = 1 , ... , IMAX. STAT3301.OT2 IS TO BE UTILIZED IN STAT3250 AS BASE.INP. ========================================================================= -- L 3302 -- ( READING AND ANALYZING A (BMAX x K0)-DIMENSIONAL BLOCK OF STAR EVENTS ON ELEMENTS IN < 1, 2, ... , L0 > OVER K0 SUCCESSIVE COLUMNS AND UTILIZING A NEGATIVE-BINOMIAL DISTRIBUTION TO DETERMINE THE PROBABLITY THAT A SPECIFIED EVENT DETERMINED BY THE ANALYST WILL OCCUR ON SUCCESSIVE TRIAL NUMBER BMAX+1 AND LISTING THE OUTCOME OR ITS COMPLEMENT IN EACH ONE OF THE K0 SUCCESSIVE COLUMNS FOR EACH OF FOUR SELECTED METHODS ) V ( VARIANT AND EXTENSION OF STAT3276 ) READS AND ANALYZES A (BMAX x K0)-DIMENSIONAL BLOCK OF STAR EVENTS AND DETERMINES BMAX BINARY-VALUED ELEMENTS, F(L), L = 1, ... , BMAX, REPRESENTING THE OCCURRENCE OR NON-OCCURRENCE ON TRIAL L OF A SPECIFIED EVENT E DETERMINED BY THE ANALYST. A NEGATIVE-BINOMIAL DISTRIBUTION IS THEN UTILIZED TO DETERMINE THE PROBABILITY THAT EVENT E WILL OCCUR ON SUCCESSIVE TRIAL NUMBER (BMAX+1), RESTRICTED TO EACH ONE OF THE K0 SEPARATE COLUMNS. STAT3302 ALSO DETERMINES THE ODDS IN FAVOR OF THE OCCURRENCE OF EVENT E, AS WELL AS THE ODDS AGAINST THE OCCURRENCE OF E ON TRIAL NUMBER (BMAX+1). STAT3302 IS A VARIANT AND EXTENSION OF STAT3276, WHICH READS THE WITH THE SAME SIGNATURE SUM OVER K0 DISTINCT COLUMNS ) VIII STAT 3304 READS A ( K0 x ENUM(I) )-DIMENSIONAL BLOCK OF PERMUTATIONS FROM PERM.INP WITH ELEMENTS REPRESENTING THE SUM OF UNIT'S AND TEN'S DIGITS OF A GIVEN ELEMENT AND GENERATES A ( K0 x FNUM(I))-DIMENSIONAL BLOCK OF ELEMENTS FROM < 1, 2, ... , L0 > WITH THE SAME SIGNATURE SUM OVER K0 DISTINCT COLUMNS, WITH RESULTS RECORDED IN STAT201.INP AND STAT3301.INP. STAT3304 IS A VARIANT OF STAT3303. ========================================================================= -- L 3305 -- ( GENERATING K0-ELEMENT EVENTS VIA UNIONS OF VERTICAL AND DIAGONAL PAIRS OF ELEMENTS FROM A ( 2 x K0)-DIMENSIONAL BLOCK OF PERMUTATIONS ON ELEMENTS < L > , L = 1, 2, ... , L0 ) STAT3305 READS A ( 2 x ENUM(I) )-DIMENSIONAL BLOCK OF PERMUTATIONS FROM PERM.INP AND GENERATES A SEQUENCE OF K0-ELEMENT EVENTS INTO STAT94.INP BY THE UNION OF SELECTED VERTICAL AND DIAGONAL PAIRS OF ELEMENTS FROM PERM.INP. ALL GENERATED K0-ELEMENT EVENTS ARE RECORDED IN STAT94.INP. CF. ALSO STAT3304 AND STAT3301. STAT3301.INP MAY BE UTILIZED AS PERM.INP IN STAT3305. ========================================================================= -- L 3306 -- ( GENERATING K0 Q0-ELEMENT SUB-PERMUTATIONS FROM A FIXED PERMUTATION OF DIMENSION P0 WITH PRE-DETERMINED AND ORDERED ELEMENTS ) STAT3306 READS A FIXED P0-ELEMENT PERMUTATION OF ORDERED ELEMENTS FROM PERM.INP AND GENERATES A SEQUENCE OF K0 Q0-ELEMENT PERMUTATIONS INTO PERM.OUT AND PERM2.OUT FOR FUTURE PROCESSING. PERM.OUT AND/OR PERM2.OUT MAY BE UTILIZED AS PERM.INP IN STAT3301 OR AS STAT201.INP, ET AL. PERM.OUT AND PERM2.OUT DIFFER IN FORMAT, ONLY. ========================================================================= -- L 3307 -- ( GENERATING K0-ELEMENT TEST EVENTS FROM A FIXED PERMUTATION BY THE SELECTION OF SCROLLING K0-ELEMENT STRINGS WITH ADJACENT ELEMENT INDICES SEPARATED BY EITHER 1, 2, 3, 4, OR 5 UNITS ) STAT3307 READS A FIXED Q0-ELEMENT PERMUTATION OF ORDERED ELEMENTS FROM PERM.INP AND GENERATES A SEQUENCE OF K0-ELEMENT TEST EVENTS INTO STAT94.INP FOR FUTURE PROCESSING. PERM.OUT AND/OR PERM2.OUT GENERATED BY STAT3246 MAY BE UTILIZED AS PERM.INP IN STAT3307. CONSTRUCTED K0-ELEMENT EVENTS ARE DETERMINED BY ELEMENTS IN PERM.INP WITH INDICES SEPARATED BY EITHER 1, 2, 3, 4, OR 5 UNITS. WHERE IT IS REQUIRED THAT THE FOLLOWING PROPERTY HOLDS : Q0 .GE. 25 , IF K0 = 5 and Q0 .GE. 31 , IF K0 = 6 . ========================================================================= -- L 3308 -- ( GENERATING K0-ELEMENT TEST EVENTS FROM A FIXED PERMUTATION BY THE SELECTION OF SCROLLING K0-ELEMENT STRINGS WITH ADJACENT ELEMENT INDICES SEPARATED BY THE INDEX DISPLACEMENT VALUES IN EACH ONE OF THE VECTORS IN A SEQUENCE OF (K0-1)-DIMENSIONAL VECTORS ) STAT3308 READS A FIXED Q0-ELEMENT PERMUTATION OF ORDERED ELEMENTS FROM PERM.INP AND A SEQUENCE OF (K0-1)-DIMENSIONAL DISPLACEMENT VECTORS FROM STAT3308.INP (GENERATED BY STAT3246 AS STAT3308.INP) AND AUTOMATICALLY GENERATES A SEQUENCE OF K0-ELEMENT TEST EVENTS INTO STAT94.INP FOR FUTURE PROCESSING. PERM.OUT AND/OR PERM2.OUT GENERATED BY STAT3246 MAY BE UTILIZED AS PERM.INP IN STAT3308. CONSTRUCTED K0-ELEMENT EVENTS ARE DETERMINED BY ELEMENTS IN EACH ONE OF THE (K0-1)-DIMENSIONAL VECTORS OF STAT3308.INP. STAT3308 IS A VARIANT OF STAT3307. ========================================================================= -- L 3309 -- ( RE-ARRANGING A ( K0 x ENUM(I) )-DIMENSIONAL BLOCK OF PERMUTATIONS TO CONSIST OF K0 ROWS OF DISTINCT OR NON-REPEATING ELEMENTS OVER < 1, 2, 3, ... , L0 > ) READS A ( K0 x ENUM(I) )-DIMENSIONAL BLOCK OF PERMUTATIONS FROM PERM.INP AND RE-ARRANGES THE ELEMENTS OF EACH ROW TO CONSIST OF DISTINCT OR NON-REPEATING ELEMENTS IN PERM.OUT OVER THE ELEMENTS IN T = < 1, 2, ... , L0 > VIA ELIMINATION OF REPEATING ELEMENTS. STAT3309 IS A VARIANT OF STAT2926. ========================================================================= -- L 3310 -- ( SELECTING K0-ELEMENT EVENTS FROM A GIVEN Q0-ELEMENT PERMUTATION VIA A FIXED SEQUENCE OF K0-ELEMENT INDEX SELECTION VECTORS OVER ELEMENTS IN < 1, 2, 3, ... , L0 > ) STAT3310 READS A FIXED Q0-ELEMENT PERMUTATION FROM PERM.INP AND A ( BMAX x K0)-DIMENSIONAL BLOCK OF INDEX VECTORS FROM STAT3310.INP (BOTH PRE-GENERATED BY STAT3246 AS PERM.OUT AND STAT3310.INP, RESPECTIVELY). THE VECTORS IN STAT3310.INP ARE UTILIZED AS INDEX VECTORS TO SELECT K0-ELEMENT EVENTS FROM THE PERMUTATION IN PERM.INP. THE RESULTING K0-ELEMENT EVENTS ARE RECORDE IN STAT94.INP. ========================================================================= -- L 3311 -- ( READING AND ANALYZING A (BMAX x K0)-DIMENSIONAL BLOCK OF STAR EVENTS ON ELEMENTS IN < 1, 2, ... , L0 > OVER K0 SUCCESSIVE COLUMNS AND UTILIZING A NEGATIVE-BINOMIAL DISTRIBUTION TO DETERMINE THE PROBABLITY THAT A SPECIFIED EVENT DETERMINED BY THE ANALYST WILL OCCUR ON SUCCESSIVE TRIAL NUMBER BMAX+1 AND LISTING THE OUTCOME OR ITS COMPLEMENT IN EACH ONE OF THE K0 SUCCESSIVE COLUMNS FOR EACH OF TWO SELECTED METHODS ) VIII ( VARIANT AND STREAMLINER OF STAT3302 ) READS AND ANALYZES A (BMAX x K0)-DIMENSIONAL BLOCK OF STAR EVENTS AND DETERMINES BMAX BINARY-VALUED ELEMENTS, F(L), L = 1, ... , BMAX, REPRESENTING THE OCCURRENCE OR NON-OCCURRENCE ON TRIAL L OF A SPECIFIED EVENT E DETERMINED BY THE ANALYST. A NEGATIVE-BINOMIAL DISTRIBUTION IS THEN UTILIZED TO DETERMINE THE PROBABILITY THAT EVENT E WILL OCCUR ON SUCCESSIVE TRIAL NUMBER (BMAX+1), RESTRICTED TO EACH ONE OF THE K0 SEPARATE COLUMNS. STAT3311 ALSO DETERMINES THE ODDS IN FAVOR OF THE OCCURRENCE OF EVENT E, AS WELL AS THE ODDS AGAINST THE OCCURRENCE OF E ON TRIAL NUMBER (BMAX+1). STAT3311 IS A VARIANT AND EXTENSION OF STAT3276, WHICH READS THE OVER K0 SUCCESSIVE COLUMNS AND UTILIZING A NEGATIVE-BINOMIAL DISTRIBUTION TO DETERMINE THE PROBABLITY THAT A SPECIFIED EVENT DETERMINED BY THE ANALYST WILL OCCUR ON SUCCESSIVE TRIAL NUMBER BMAX+1 AND LISTING THE OUTCOME OR ITS COMPLEMENT IN EACH ONE OF THE K0 SUCCESSIVE COLUMNS FOR EACH OF TWO SELECTED METHODS ) X ( VARIANT AND STREAMLINER OF STAT3311 ) READS AND ANALYZES A (BMAX x K0)-DIMENSIONAL BLOCK OF STAR EVENTS AND DETERMINES BMAX BINARY-VALUED ELEMENTS, F(L), L = 1, ... , BMAX, REPRESENTING THE OCCURRENCE OR NON-OCCURRENCE ON TRIAL L OF A SPECIFIED EVENT E DETERMINED BY THE ANALYST. A NEGATIVE-BINOMIAL DISTRIBUTION IS THEN UTILIZED TO DETERMINE THE PROBABILITY THAT EVENT E WILL OCCUR ON SUCCESSIVE TRIAL NUMBER (BMAX+1), RESTRICTED TO EACH ONE OF THE K0 SEPARATE COLUMNS. STAT3313 ALSO DETERMINES THE ODDS IN FAVOR OF THE OCCURRENCE OF EVENT E, AS WELL AS THE ODDS AGAINST THE OCCURRENCE OF E ON TRIAL NUMBER (BMAX+1). STAT3313 IS A VARIANT AND EXTENSION OF STAT3276, WHICH READS THE . PERM.INP MAY BE GENERATED BY STAT3260 IN UNION WITH OTHER SELECTED DATA SOURCES OR ROUTINES. ========================================================================= -- L 3315 -- ( FILTERING AND RANKING F(J)-ELEMENT EVENTS IN DESCENDING ORDER OF REAL-VALUED SUMS OF ALL F(J) NORMALIZED OR SCALED ELEMENTS ) ( VARIANT OF STAT3314 ) READS A ( PMAX x Q0 )-DIMENSIONAL BLOCK OF EVENTS FROM PERM.INP CONSISTING OF COMPUTED OR REAL-VALUED ENTRIES FROM SELECTED SOURCES. ENTRIES OF PERM.INP ARE NORMALIZED OR SCALED BY DIVIDING EACH ENTRY BY THE MINIMUM ENTRY IN EACH ONE OF Q0 DISTINCT COLUMNS. EVENTS ARE PROCESSED FROM PERM.INP AND RANKED IN DESCENDING ORDER OF REAL-VALUED SUMS OF ALL Q0 ENTRIES PER EVENT AND RECORDED IN PERM.OUT. STAT3315 IS A VARIANT OF STAT3244, WHICH ANALYZES PERMUTATION ELEMENTS IN < 1, 2, ... , L0 >. PERM.INP MAY BE GENERATED BY STAT3260 IN UNION WITH OTHER SELECTED DATA SOURCES OR ROUTINES. ========================================================================= -- L 3316 -- ( FILTERING AND RANKING F(J)-ELEMENT EVENTS IN DESCENDING ORDER OF REAL-VALUED SUMS OF ALL F(J) NORMALIZED OR SCALED ELEMENTS ) ( VARIANT OF STAT3315 ) READS A ( PMAX x ENUM(I) )-DIMENSIONAL BLOCK OF PERMUTATIONS FROM PERM.INP, HAVING INTEGER-VALUED ENTRIES OR WEIGHTS FROM SELECTED ROUTINES, WHOSE ELEMENTS ARE NORMALIZED OR SCALED BY DIVIDING EACH ELEMENT BY THE MINIMUM ELEMENT IN EACH ONE OF ENUM(I) DISTINCT COLUMNS. ELEMENTS ARE PROCESSED FROM PERM.INP AND RANKED IN DESCENDING ORDER OF INTEGER-VALUED SUMS OF ALL ENUM(I) ENTRIES PER PERM AND RECORDED IN PERM.OUT. STAT3316 IS A VARIANT OF STAT3315, WHICH ANALYZES EVENTS ON ARBITRARY WEIGHTS FROM VARIOUS SOURCES. PERM.INP MAY BE GENERATED BY STAT3286 OR OTHER SELECTED DATA SOURCES OR ROUTINES. ========================================================================= -- L 3317 -- ( UTILIZING A NEGATIVE-BINOMIAL DISTRIBUTION TO DETERMINE THE PROBABILITY THAT EACH EVENT IN AN ARBITRARY SEQUENCE WILL HAVE Q0 CONSECUTIVE SUCCESSES OVER THE NEXT Q0 BERNOULLI TRIALS ) READS A SEQUENCE OF JMAX BINARY-VALUED ELEMENTS FROM PERM.INP, REPRESENTING OCCURRENCE VS. NON-OCCURRENCE OF EACH EVENT IN A SEQUENCE, TO DETERMINE THE PROBABILITY THAT EACH EVENT WILL HAVE Q0 CONSECUTIVE SUCCESSES OVER THE NEXT Q0 BERNOULLI TRIALS, BASED UPON THE PROBABILITY THAT THE Kth SUCCESS WILL OCCUR ON THE Xth TRIAL FOR EACH MEASURED EVENT. THE PROBABILITY OF SUCCESS ON A GIVEN TRIAL IS EQUIVALENT TO THE RELATIVE FREQUENCY OF SUCCESS OVER THE JMAX TRIALS FOR EACH EVENT. STAT3317 ALSO DETERMINES THE ODDS IN FAVOR OF EACH EVENT E AND THE ODDS AGAINST THE OCCURRENCE OF EVENT E. THE SEQUENCE OF EVENTS IS THEN RANKED IN DESCENDING ORDER OF NORM(E), BASED UPON THE PROBABILITY OF E OCCURRING OVER EVERY ONE OF THE NEXT Q0 TRIALS. STAT3317 IS A VARIANT OF STAT3318. ========================================================================= -- L 3318 -- ( UTILIZING A NEGATIVE-BINOMIAL DISTRIBUTION TO DETERMINE THE PROBABILITY THAT EACH EVENT IN AN ARBITRARY SEQUENCE WILL HAVE AT LEAST ONE SUCCESS OVER THE NEXT Q0 BERNOULLI TRIALS ) READS A SEQUENCE OF JMAX BINARY-VALUED ELEMENTS FROM PERM.INP, REPRESENTING OCCURRENCE VS. NON-OCCURRENCE OF EACH EVENT IN A SEQUENCE, TO DETERMINE THE PROBABILITY THAT EACH EVENT WILL HAVE AT LEAST ONE SUCCESS OVER THE NEXT Q0 BERNOULLI TRIALS, BASED UPON THE PROBABILITY THAT THE Kth SUCCESS WILL OCCUR ON THE Xth TRIAL FOR EACH MEASURED EVENT. THE PROBABILITY OF SUCCESS ON A GIVEN TRIAL IS EQUIVALENT TO THE RELATIVE FREQUENCY OF SUCCESS OVER THE JMAX TRIALS FOR EACH EVENT. STAT3318 ALSO DETERMINES THE ODDS IN FAVOR OF EACH EVENT E AND THE ODDS AGAINST THE OCCURRENCE OF EVENT E. THE SEQUENCE OF EVENTS IS THEN RANKED IN DESCENDING ORDER OF NORM(E), BASED UPON THE COMPUTED PROBABILITY OF E OCCURRING OVER AT LEAST ONE OF THE NEXT Q0 TRIALS. STAT3318 IS A VARIANT OF STAT3317 AND STAT3260. CF. STAT3260. ========================================================================= -- L 3319 -- ( UTILIZING A NEGATIVE-BINOMIAL DISTRIBUTION TO DETERMINE THE PROBABILITY THAT EACH EVENT IN AN ARBITRARY GENERIC SEQUENCE WILL SELECTIVELY HAVE EITHER Q0 CONSECUTIVE SUCCESSES OR AT LEAST ONE SUCCESS OVER THE NEXT Q0 BERNOULLI TRIALS ) ( GENERIC HYBRID OF BOTH STAT3317 AND STAT3319 ) READS A SEQUENCE OF JMAX BINARY-VALUED ELEMENTS FROM PERM.INP, REPRESENTING OCCURRENCE VS. NON-OCCURRENCE OF EACH EVENT IN A SEQUENCE, TO DETERMINE THE PROBABILITY THAT EACH EVENT WILL SELECTIVELY HAVE EITHER Q0 CONSECUTIVE SUCCESSES OR AT LEAST ONE SUCCESS OVER THE NEXT Q0 BERNOULLI TRIALS, BASED UPON THE COMPUTED PROBABILITY THAT THE Kth SUCCESS WILL OCCUR ON THE Xth TRIAL FOR EACH MEASURED EVENT. THE DETERMINED PROBABILITY OF SUCCESS ON A GIVEN TRIAL IS EQUIVALENT TO THE RELATIVE FREQUENCY OF SUCCESS OVER THE JMAX TRIALS FOR EACH EVENT. STAT3319 ALSO DETERMINES THE ODDS IN FAVOR OF EACH EVENT E AND THE ODDS AGAINST THE OCCURRENCE OF EVENT E. THE SEQUENCE OF EVENTS IS THEN RANKED IN DESCENDING ORDER OF NORM(E), BASED UPON THE PROBABILITY OF E OCCURRING OVER EVERY ONE OF THE NEXT Q0 TRIALS. STAT3319 IS A GENERIC HYBRID OF BOTH STAT3318 AND STAT3319. ========================================================================= -- L 3320 -- MONITOR MATRIX GENERATOR XXXXXX FREQUENCY COUNTS FOR ELEMENTS IN A LARGE SEQUENCE OF Q0-ELEMENT PERMUTATIONS IV ( VARIANT AND PERMUTATION VERSION OF STAT3247 ) ( UTILIZING EITHER A GEOMETRIC OR A POISSON DISTRIBUTION TO DETERMINE PROBABILITIES ) COMPARES A LARGE SET OF Q0-ELEMENT PERMUTATIONS WITH A FINITE BASE SET OF ELEMENTS, DETERMINES THE NUMBER OF ELEMENTS IN EACH INPUT PERMUTATION VS. THE BASE SET IN BASE.INP, 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. STAT3320 IS A VARIANT OF STAT3247, ANALYZING Q0-ELEMENT PERMUTATIONS, RATHER THAN TEST EVENTS, WITH PERMUTATIONS FILTERED FROM SUB-BLOCKS OF SIZE BMAX. STAT3320 UTILIZES A EITHER A GEOMETRIC OR POISSON PDF TO DETERMINE AND FILTER [*]-QUALIFYING PERMUTATIONS, I.E., EVENTS WITH PROBABILITY OF HAVING AN INTERSECTION CARDINALITY IN THE INTERVAL [ M1,M2 ] VS. THE SEQUENCE OF STAR EVENTS IS AT LEAST A DESIRED VALUE, V0. IF THE EXPECTED FREQUENCY CADENCE = 1/K, THEN STAT3320 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. STAT3320 READS SUB-BLOCKS OF BMAX INPUT PERMUTATIONS FROM PERM.INP AND UP TO 400 INPUT STAR EVENTS FROM BASE.INP. [*]-QUALIFYING PERMS ARE FILTERED AND RECORDED IN PERM.OUT, RANKED IN DESCENDING OR ASCENDING ORDER OF JDELTA = MTC - IRATIO WITH COMPUTED IDELTA = 1000*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. STAT3320 IS A DERIVATIVE AND VARIANT OF STAT2343 AND A PERMUTATION VERSION OF STAT3247. CF. STAT2349 FOR THE PERMUTATION VERSION. CF. ALSO STAT2514, STAT2604 STAT2606, STAT3149, STAT2343, STAT2349, AND STAT3251. CF. STAT3269 FOR A VERSION OF STAT3320 WHICH RANKS [*]-QUALIFYING EVENTS IN DESCENDING ORDER OF IDELTA = 1000 * Pr( EVENT E is [*]-QUALIFIED). CF. STAT3551. ========================================================================= -- L 3321 -- MONITOR MATRIX GENERATOR XXXX FREQUENCY COUNTS FOR A SEQUENCE OF ELEMENTS < 1 , 2, ... , L0 > VS. A SEQUENCE OF IMAX STAR EVENT PERMUTATIONS ( PROBABILITY THAT ELEMENT L OCCURS IN THE NEXT STAR PERMUTATION VIA A NEGATIVE-BINOMIAL DISTRIBUTION FUNCTION ) ( APPLICABLE AS AN ALL-OR-NONE SIMULATION ) READS A SEQUENCE OF IMAX STAR EVENT PERMUTATIONS ON THE ELEMENTS ON THE ELEMENTS IN T = < 1, 2, ... , L0 >, DETERMINES A (0,1)- OCCURRENCE MATRIX FOR EACH ONE 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. STAT3321 IS A VARIANT OF STAT3246, ANALYZING EACH FIXED ELEMENT OF T, RATHER THAN INTERSECTIONS OF K0-ELEMENT EVENTS VS. THE BASE SET OF STAR EVENTS, BUT FILTERING 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. STAT3321 READS UP TO 100 STAR PERMUTATIONS 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). STAT3321 READS UP TO 100 STAR PERMS IN BASE.INP AND ANALYZES ELEMENTS IN THE RANGE < 1, ... , L0 >, WHERE THE MAXIMUM VALUE OF L0 IS 80. CF. ALSO STAT893, STAT894, STAT899, AND STAT933. STAT3321 IS ALSO A VARIANT OF STAT934, BUT UTILIZES A DIFFERENT ALGORITHMIC TECHNIQUE FOR DETERMINING HIGH-PROBABILITY ELEMENTS. SIGNIFICANTLY, STAT3321 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. ( . A CUMULATIVE FILE OF [*]-QUALIFYING PERMUTATIONS OF SIZE L0/2 IS RECORDED IN CUMULAT.OUT, REPRESENTING THE TOP L0/2 QUALIFYING ELEMENTS FROM EACH CYCLIC EXECUTION OF STAT3321. CF. STAT3246 FOR THE TEST EVENT VERSION OF CUMULAT.OUT. ========================================================================= -- L 3322 -- ( FILTERING PERMUTATIONS FROM A Q0-ELEMENT PERMUTATION SEQUENCE BASED UPON FREQUENCIES OF INTERSECTIONS VS. PERMUTATIONS ) II STAT3322 COMPARES A SEQUENCE OF PERMUTATIONS WITH AN ARBITRARILY LARGE SEQUENCE OF INPUT PERMUTATIONS AND FILTERS ONLY THOSE PERMS WHOSE INTERSECTION FREQUENCIES WITH EACH PERMUTATION LIE BETWEEN ARBITRARILY CHOSEN CONSTANT BOUNDS. THE ROUTINE COMPARES A MAXIMUM OF 1000 STAR PERMS IN PERM2.INP VS. ANY DESIRED NUMBER OF INPUT PERMUTATIONS IN PERM.INP. CF. ALSO STAT1381 FOR THE TEST EVENT VS. TEST EVENT VERSION OF STAT3322. STAT3322 IS A VARIANT OF STAT117. ========================================================================= -- L 3323 -- ( DUALS OF PERMUTATIONS GENERATED FROM A FIXED PERMUTATION SEQUENCE ) XXXXIV STAT3323 READS A SEQUENCE OF PMAX PERMUTATIONS OF DIMENSION Q0 FROM PERM.INP, CONSISTING OF UNIQUE ELEMENTS, AND GENERATES A NEW DUAL PERMUTATION FOR EACH PERMUTATION, WHOSE ELEMENTS ARE COMPLEMENTS OF THE ELEMENTS OF EACH RESPECTIVE INITIAL PERMUTATION, RELATIVE TO A SPECIFIED FIXED SEQUENCE OF V0 ELEMENTS. MOREOVER, OUTPUT PERMUTATIONS ARE PRINTED IN THE FILE PERM.OUT FOR FUTURE USE BY OTHER ROUTINES. STAT3323 IS A VARIANT OF STAT2530, CF. ALSO STAT2090, STAT2207, AND STAT2208. ========================================================================= -- L 3324 -- ( RE-FORMATTING A_O_N PERMUTATIONS TO STANDARD FORM FOR INTERSECTIONS ) STAT3324 READS A SEQUENCE OF PMAX AON PERMUTATIONS OF DIMENSION 12 FROM AON.TXT IN ORDER OF MOST-RECENT TO LEAST RECENT OCCURRENCE, CONSISTING OF UNIQUE ELEMENTS, AND RE-FORMATS EACH PERMUTATIONS INTO A STANDARDIZED FORM USEFUL FOR PERMUTATION INTERSECTIONS AND RELATED ANALYSES. RE-FORMATTED OUTPUT PERMUTATIONS ARE RECORDED IN PERM.OUT IN REVERSE ORDER OF LEAST-RECENT TO MOST-RECENT OCCURRENCE FOR FURTHER PROCESSING. THE MAXIMUM VALUE OF PMAX IS 600. STAT3324 IS A VARIANT AND PERMUTATION VERSION OF STAT1477. ========================================================================= -- L 3325 -- ( DETERMINES INTERSECTION CARDINALITIES BETWEEN PAIRS OF CONSECUTIVE OR ADJACENT PERMUTATIONS OF DIMENSION Q0 IN A FIXED BLOCK ) IV STAT3325 READS A FIXED BLOCK OF PERMUTATIONS OF DIMENSION Q0 FROM PERM.INP AND DETERMINES THE INTERSECTION CARDINALITIES, , BETWEEN PAIRS OF CONSECUTIVE OR ADJACENT PERMUTATIONS. THE SEQUENCE OF COMPUTED CARDINALITIES IS RECORDED IN STAT3325.OUT FOR FURTHER ANALYSIS. STATAT3325 IS A VARIANT OF STAT3322 AND STAT117. CF. STAT3326 FOR THE TEST EVENT VERSION OF STAT3325. A (0,1)- BINARY SEQUENCE, < FL(F(J)) > , IS GENERATED AND RECORDED IN PERM.OUT TO REPRESENT THE OCCURRENCE VS. NON-OCCURRENCE OF A CARDINALITY IN THE SELECTED INTERVAL , [ M1,M2 ] , TO BE UTILIZED IN STAT3260 AS PERM.INP TO PREDICT ITS OCCURRENCE ON THE NEXT TRIAL BY MEANS OF A NEGATIVE BINOMIAL DISTARIBUTION. CF. STAT3260. ========================================================================= -- L 3326 -- ( DETERMINES INTERSECTION CARDINALITIES BETWEEN PAIRS OF CONSECUTIVE OR ADJACENT TEST EVENTS OF SIZE K0 IN A FIXED BLOCK ) V STAT3326 READS A FIXED BLOCK OF TEST EVENTS OF SIZE K0 FROM STAT3326.INP AND DETERMINES THE INTERSECTION CARDINALITIES, , BETWEEN PAIRS OF CONSECUTIVE OR ADJACENT TEST EVENTS. THE SEQUENCE OF COMPUTED CARDINALITIES IS RECORDED IN STAT3326.OUT FOR FURTHER ANALYSIS. STATAT3326 IS A VARIANT OF STAT3325. CF. STAT3325 FOR THE PERMUTATION VERSION OF STAT3326. A (0,1) OR BINARY SEQUENCE, < FL(F(J)) > , IS GENERATED AND RECORDED IN PERM.OUT, REPRESENTING THE OCCURRENCE VS. NON-OCCURRENCE OF A CARDINALITY IN THE SELECTED INTERVAL , [ M1,M2 ] , TO BE UTILIZED IN STAT3260 AS PERM.INP TO PREDICT ITS OCCURRENCE ON THE NEXT TRIAL BY MEANS OF A NEGATIVE BINOMIAL DISTARIBUTION. CF. STAT3260. ========================================================================= -- L 3327 -- ( GENERATING SUB-PERMUTATIONS WITH SELECTED INDICES ( MOD M ) ) XXXXV STAT3327 READS A SINGLE PERMUTATION OF DIMENSION Q0 FROM PERM.INP, CONSISTING OF UNIQUE ELEMENTS, A ( CMAX x K0 )-DIMENSIONAL BLOCK OF SELECTED INDICES, (C(I,K), I = 1 , ... , CMAX AND K = 1, ... , K0) FROM STAT3327.INP ( E.G., GENERATED AS M CHOOSE (Q0/K0) ELEMENTS RECORDED AS STAT94.INP IN STAT543) AND GENERATES A SEQUENCE OF (Q0/2)-ELEMENT SUB-PERMUTATIONS IN PERM.OUT WITH SELECTED INDICES CONGRUENT TO THE ELEMENTS IN (MOD M). CF. STAT3321 FOR THE GENERATION OF PERM.INP AS PERM.OUT. ========================================================================= -- L 3328 -- ( GENERATING HOMOGENEOUS PERMUTATIONS BY THE CYCLICAL ADDITION OF CONSECUTIVE INTEGERS TO SCROLLING CONTIGUOOUS SUB-BLOCKS OF SIZE N DETERMINED BY CONSECUTIVE AND CORRESPONDING INDICES ) IV STAT3328 READS A SEQUENCE OF PERMUTATIONS OF SIZE L0 FROM PERM.INP AND GENERATES FOR EACH PERMUTATION, A SEQUENCE OF HOMOGENEOUS PERMUTATIONS BY THE CYCLICAL ADDITION OF CONSECUTIVE INTEGERS TO SCROLLING CONTIGUOUS SUB-BLOCKS HAVING CONSECUTIVE AND CORRESPONDING INDICES FOR UP TO 100 INPUT PERMUTATIONS. GENERATED HOMOGENEOUS PERMUTATIONS ARE AUTOMATICALLY ADJUSTED TO CONSIST OF UNIQUE ELEMENTS. INPUT PERMUTATIONS TYPICALLY HAVE DIMENSION 12 FOR AN A_O_N APPLICATION. A CUMULATIVE FILE OF HOMOGENEOUS PERMUTATIONS IS RECORDED IN CUMULAT.OUT. ========================================================================= -- L 3329 -- ( GENERATING HOMOGENEOUS K0-ELEMENT TEST EVENTS BY THE CYCLICAL ADDITION OF CONSECUTIVE INTEGERS TO SCROLLING CONTIGUOOUS SUB-BLOCKS OF SIZE N DETERMINED BY CONSECUTIVE AND CORRESPONDING INDICES ) V STAT3329 READS A SEQUENCE OF TEST K0-ELEMENT EVENTS FROM STAT3329.INP AND GENERATES FOR EACH TEST EVENT, A SEQUENCE OF HOMOGENEOUS TEST EVENTS BY THE CYCLICAL ADDITION OF CONSECUTIVE INTEGERS TO SCROLLING CONTIGUOUS SUB-BLOCKS HAVING CONSECUTIVE AND CORRESPONDING INDICES FOR UP TO 100 INPUT TEST EVENTS. GENERATED HOMOGENEOUS TEST EVENTS ARE AUTOMATICALLY ADJUSTED TO CONSIST OF UNIQUE ELEMENTS. INPUT TEST EVENTS TYPICALLY HAVE DIMENSION 5 OR 6. STAT3329 IS A VARIANT AND TEST EVENT VERSION OF STAT3328. CF. STAT3328 FOR THE PERMUTATION VERSION AND AN A_O_N APPLICATION. A CUMULATIVE FILE OF HOMOGENEOUS TEST EVENTS IS RECORDED IN CUMULAT.OUT. ========================================================================= -- L 3330 -- MONITOR MATRIX GENERATOR XXXXXX FREQUENCY COUNTS FOR ELEMENTS IN A LARGE SEQUENCE OF Q0-ELEMENT PERMUTATIONS IV ( VARIANT AND BASE PERMUTATION VERSION OF STAT3320 ) ( UTILIZING A NEGATIVE-BINOMIAL DISTRIBUTION TO DETERMINE PROBABILITIES ) COMPARES A LARGE SET OF K0/L0-ELEMENT PERMUTATIONS IN PERM.INP WITH A FINITE BASE SET OF K0/L0 STAR ELEMENT PERMUTATIONS IN BASE.INP, DETERMINES THE NUMBER OF ELEMENTS IN EACH INPUT PERMUTATION IN PERM.INP VS. THE BASE PERM SET IN BASE.INP, 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. STAT3330 IS A VARIANT OF STAT3320, ANALYZING K0-ELEMENT PERMUTATIONS IN PERM.INP VS. K0-ELEMENT PERMUTATIONS IN BASE.INP, RATHER THAN K0-ELEMENT STAR PERMS. HOWEVER, STAT3330 UTILIZES A NEGATIVE-BINOMIAL DISTRIBUTION TO DETERMINE AND FILTER [*]-QUALIFYING PERMUTATIONS, I.E., PERMS WITH PROBABILITY OF HAVING AN INTERSECTION CARDINALITY IN THE INTERVAL [M1,M2] U [M3,M4] VS. THE SEQ. OF STAR PERMS IS AT LEAST A DESIRED VALUE, V0. IF THE EXPECTED FREQUENCY CADENCE = 1/K, THEN STAT3330 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 PERMS. CF. STAT1031 AND STAT1036 FOR PERMUTATION REPLICAS. STAT3330 READS SUB-BLOCKS OF BMAX INPUT PERMUTATIONS FROM PERM.INP AND UP TO 100 INPUT STAR PERMS FROM BASE.INP. [*]-QUALIFYING PERMS ARE FILTERED AND RECORDED IN PERM.OUT, RANKED IN DESCENDING OR ASCENDING ORDER OF JDELTA = MTC - IRATIO WITH COMPUTED IDELTA = 1000*Pr( PERM # E HAS AN INTERSECTION CARDINALITY IN THE INTERVAL [ M1,M2 ] U [ M3,M4 ] ON TRIAL NUMBER JMAX+1, FOLLOWING THE FINAL STAR PERM WITH INDEX JMAX). JDELTA IS REQUIRED TO BE .GE. 0 FOR EACH [*]-QUALIFIED FILTERED PERMUTATION. STAT3330 IS A DERIVATIVE AND VARIANT OF STAT3320 AND A PERMUTATION VERSION OF STAT3247. CF. STAT2349 FOR ANOTHER PERMUTATION VERSION. CF. ALSO STAT2514, STAT2604 STAT2606, STAT3149, STAT2343, STAT2349, AND STAT3251. CF. STAT3269 FOR A VERSION OF STAT3330 WHICH RANKS [*]-QUALIFYING EVENTS IN DESCENDING ORDER OF IDELTA = 1000 * Pr( EVENT E is [*]-QUALIFIED). ========================================================================= -- L 3331 -- ( DETERMINING INCREMENTS BETWEEN PAIRS OF ELEMENTS IN 12 CORRESPONDING COLUMNS OF ADJACENT PERMUTATIONS FROM A FIXED SEQUENCE OF AON PERMUTATIONS AND ADDING CORRESPONDING INCREMENTS TO THE FINAL PERMUTATION IN ORDER TO GENERATE A NEW SEQUENCE OF PERMUTATIONS ) STAT3331 READS A SEQUENCE OF PMAX AON PERMUTATIONS OF DIMENSION 12 FROM PERM.INP IN ORDER OF LEAST-RECENT TO MOST RECENT OCCURRENCE, CONSISTING OF UNIQUE ELEMENTS. THE ROUTINE THEN DETERMINES INCREMENTS BETWEEN PAIRS OF ELEMENTS IN THE 12 CORRESPONDING COLUMNS OF ADJACENT PERMUTATIONS FROM PERM.INP AND ADDS CORRESPONDING INCREMENTS TO THE FINAL PERMUTATION IN ORDER TO GENERATE A NEW SEQUENCE OF PERMUTATIONS. GENERATED OUTPUT PERMUTATIONS ARE RECORDED IN PERM.OUT. THE MAXIMUM VALUE OF PMAX IS 600. ========================================================================= -- L 3332 -- MONITOR MATRIX GENERATOR XXXX FREQUENCY COUNTS FOR A SEQUENCE OF ELEMENTS < 1 , 2, ... , L0 > VS. A SEQUENCE OF IMAX STAR EVENT PERMUTATIONS ( PROBABILITY THAT ELEMENT L OCCURS IN THE NEXT STAR PERMUTATION VIA A NEGATIVE-BINOMIAL DISTRIBUTION FUNCTION OVER Q0 = 12 DISTINCT OR SEPARATE COLUMNS ) ( APPLICABLE AS AN ALL-OR-NONE SIMULATION ) READS A SEQUENCE OF IMAX STAR EVENT PERMUTATIONS ON THE ELEMENTS ON THE ELEMENTS IN T = < 1, 2, ... , L0 >, DETERMINES A (0,1)- OCCURRENCE MATRIX FOR EACH ONE 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 Q0-ELEMENT STAR PERMUTATION OF BASE.INP. STAT3332 IS A VARIANT OF STAT3321, ANALYZING EACH FIXED ELEMENT OF T, RATHER THAN INTERSECTIONS OF K0-ELEMENT EVENTS VS. THE BASE SET OF STAR EVENTS, BUT FILTERING 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 PERM INDEXES. STAT3332 READS UP TO 100 STAR PERMUTATIONS 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 PERM ELEMENTS. M1 IS THE DESIRED THRESHOLD VALUE FOR INDEXES: M1 (MOD KCT). STAT3332 READS UP TO 100 STAR PERMS IN BASE.INP AND ANALYZES ELEMENTS IN THE RANGE < 1, ... , L0 >, WHERE THE MAXIMUM VALUE OF L0 IS 80. CF. ALSO STAT893, STAT894, STAT899, AND STAT933. STAT3332 IS ALSO A VARIANT OF STAT934, BUT UTILIZES A DIFFERENT ALGORITHMIC TECHNIQUE FOR DETERMINING HIGH-PROBABILITY ELEMENTS. SIGNIFICANTLY, STAT3332 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. ( . A CUMULATIVE FILE OF [*]-QUALIFYING PERMUTATIONS OF SIZE L0/2 IS RECORDED IN CUMULAT.OUT, REPRESENTING = THE TOP L0/2 QUALIFYING ELEMENTS FROM EACH CYCLIC EXECUTION OF STAT3332. CF. STAT3246 FOR THE TEST EVENT VERSION OF CUMULAT.OUT. ========================================================================= -- L 3333 -- ( RANKING K0-ELEMENT PERMUTATIONS IN DESCENDING ORDER OF SUMS OF WEIGHTS OF ELEMENTS OF ALL K0-ELEMENTS PER PERMUTATION, WITH WEIGHTS DETERMINED OVER EACH ONE OF THE K0 DISTINCT COLUMNS VIA AN ( L0 x K0 )-DIMENSIONAL BLOCK, BASED UPON A NEGATIVE- BINOMIAL PROBABILITY DISTRIBUTION FOR ALL Q0 ELEMENTS ) V ( VARIANT AND HYBRID OF STAT3273, STAT543, STAT3258 AND STAT3266 ) READS A SEQUENCE OF K0-ELEMENT PERMUTATION FROM PERM.INP, AN (L0 x K0) - DIMENSIONAL BLOCK OF PROBABILITY WEIGHTS OF ELEMENTS FROM STAT3333.IN3 WHICH IS GENERATED VIA STAT3332 AS STAT3333.IN3 FOR USAGE BY STAT3333 OR STAT3320 AND MAY CONSIST OF GENERIC WEIGHTS FOR L0 ELEMENTS. PERMUTATIONS ARE FILTERED FROM PERM.INP AND RANKED IN DESCENDING ORDER OF PRODUCTS OR SUMS OF WEIGHTS OF ALL K0 ELEMENTS PER PERM. A PERM IS [*]-QUALIFIED WHENEVER THE SUM OR PRODUCT OF WEIGHTS OVER K0 COLUMNS EXCEED A LOWER BOUNDS SELECTED IN REAL-TIME BY THE ANALYST. STAT3333 IS A VARIANT OF STAT3273. HOWEVER, PROBABILITY WEIGHTS OF ELEMENTS ARE DETERMINED IN REAL-TIME FROM STAT3332 AND RECORDED IN STAT3333.IN3 AS AN ( L0 x K0 ) - DIMENSIONAL BLOCK WITH ALL PERMUTATIONS FILTERED FROM PERM.INP FOR WHICH WEIGHTS OF ALL K0 ELEMENTS LIE IN A DESIRED RANGE OF PROBABILITIES. [*]-QUALIFYING PERMUTATIONS ARE RECORDED IN PERM.OUT. CF. STAT3091, STAT3258, STAT3266, STAT543, AND STAT3273. ========================================================================= -- L 3334 -- ( GENERATING ALL [ n C k0 ] k0-ELEMENT EVENTS FROM A PERMUTATION OF SIZE n AND RANKING K0-ELEMENT PERMS FROM THE GENERATED SEQUENCE IN DESCENDING ORDER OF SUMS OR PRODUCTS OF PROBABILITY WEIGHTS OF ALL K0 ELEMENTS DETERMINED OVER THE ( L0 x K0 )-DIMENSIONAL STAR PERM BLOCK, BASED UPON A NEGATIVE-BINOMIAL PROBABILITY DISTRIBUTION FOR ALL ELEMENTS WITH AN AON PERMUTATION APPLICATION ) VI ( VARIANT AND HYBRID OF STAT3273, STAT3333, STAT3258 AND STAT3266 ) READS A SINGLE L0-ELEMENT PERMUTATION FROM PERM.INP, AN (L0 x K0) - DIMENSIONAL BLOCK OF PROBABILITY WEIGHTS OF ELEMENTS FROM STAT3334.IN3 WHICH IS GENERATED VIA STAT333S AS STAT3333.IN3 FOR USAGE BY STAT3334. OR STAT3333 AND MAY CONSIST OF GENERIC WEIGHTS FOR L0 ELEMENTS. PERMUTATIONS ARE FILTERED FROM PERM.INP AND RANKED IN DESCENDING ORDER OF PRODUCTS OR SUMS OF WEIGHTS OF ALL K0 ELEMENTS PER PERM. A PERM IS [*]-QUALIFIED WHENEVER THE SUM OR PRODUCT OF WEIGHTS OVER K0 COLUMNS EXCEEDS LOWER BOUNDS SELECTED IN REAL-TIME BY THE ANALYST. STAT3334 IS A VARIANT OF STAT3333. HOWEVER, PROBABILITY WEIGHTS OF ELEMENTS ARE DETERMINED IN REAL-TIME FROM STAT3332 AND RECORDED IN STAT3333.IN3 AS AN ( L0 x K0 ) - DIMENSIONAL BLOCK. [*]-QUALIFYING PERMUTATIONS ARE RECORDED IN PERM.OUT AND PERM2.OUT, BUT ARE GENERATED DIRECTLY FROM PERM.INP BY SELECTING AND ANALYZING THE NEXT EVENT IN SEQUENCE, RATHER THAN RANDOMLY FROM A SUBROUTINE. CF. STAT3333, STAT3091, STAT3258, STAT3266, STAT543, AND STAT3272. ========================================================================= -- L 3335 -- ( GENERATING LEXICOGRAPHIC K0-ELEMENT EVENTS FROM EACH ENUM(I)- ELEMENT PERMUTATION OF A FIXED BLOCK OF K0 PERMUTATIONS BY SELECTING EVENTS WHICH HAVE INDICES CONGRUENT TO 1 (MOD M) WHERE M = THE PRODUCT OF THE ENUM(I), FOR I = 1, 2, ... , K0 ) STAT3335 READS A SEQUENCE OF PERMUTATIONS < P(L,J),J=1,...,ENUM(L) >, L = 1,...,K0, FROM PERM.INP AND A SEQUENCE OF BMAX K0-ELEMENT TRANSLATION VECTORS FROM STAT3335.INP, GENERATING LEXICOGRAPHIC K0-ELEMENT TRANSLATED EVENTS FROM EACH Q0-ELEMENT PERM IN PERM.INP. THE K0-ELEMENT PERMUTATIONS MAY BE GENERATED IN STAT2232 , STAT1016, ET AL. STAT3335 IS A VARIANT OF STAT3212. HOWEVER, EACH ONE OF K0 ELEMENTS ELEMENTS PER EVENT IS SELECTED FROM ENUM(I) POSSIBLE ELEMENTS OVER THE K0 INPUT PERMUTATIONS IN PERM.INP FOR WHICH THE CYCLE INDEX IS CONGRUENT (MOD 1) TO THE PRODUCT OF THE ENUM(I), FOR EACH I = 1, 2, ... , K0. CF. STAT3121, STAT3155, STAT3168, STAT543, STAT618, STAT915, STAT691, STAT2213, STAT2223, STAT2312, AND STAT2233. STAT3335 IS ALSO A VARIANT AND DERIVATIVE OF STAT3032. HOWEVER THE INTEGER , M , TO WHICH THE INDEX OF EACH GENERATED TEST EVENT WILL BE CONGRUENT ( MOD M ) OVER THE BLOCK OF K0 INPUT PERMUTATIONS IS AUTOMATICALLY DETERMINED BY THE ROUTINE IN REAL TIME, RATHER THAN BEING ENTERED BY THE ANALYST. CF. ALSO STAT3032 AND STAT1015. STAT3335 IS SUITABLE FOR AN AON PERMUTATION APPLICATION. CF. STAT3332 FOR THE GENERATION OF PERM.INP. ========================================================================= -- L 3336 -- ( GENERATING HOMOGENEOUS 12-ELEMENT SUB-PERMUTATIONS FROM A SET OF SIZE 24 BY THE INTERCHANGE OF 3-ELEMENT SUB-PERMUTATIONS OVER UNIONS OF PAIRS OF THE COMPLETE SET OF 4 6-ELEMENT COMBINATIONS OF SUB-PERMUTATIONS ) STAT3336 READS A 24-ELEMENT PERMUTATION OF DISTINCT ELEMENTS FROM PERM.INP FROM WHICH 4 DISTINCT AND CONTIGUOUS 6-ELEMENT PERMUTATIONS ARE GENERATED FOR PROCESSING IN STAT3336, AN ARBITRARILY LARGE SEQUENCES OF INDEX VECTORS OF DIMENSION 3 IN STAT3336.INP ON ELEMENTS IN THE RANGE [ 1,6 ], AND AN ARBITRARILY LARGE SEQUENCE OF INDEX VECTORS OF DIMENSION 3 IN STAT3336.IN2. THE ROUTINE THEN TACITLY GENERATES SUB-PERMUTATIONS BY INTERCHANGING SELECTED 3-ELEMENT SUB- PERMUTATIONS OVER UNIONS OF PAIRS OF THE COMPLETE SET OF 4 6-ELEMENT COMBINATIONS OF SUB-PERMUTATIONS FROM PERM.INP. GENERATED SUB-PERMUTATIONS ARE RECORDED IN PERM.OUT. CF. STAT3321 FOR THE GENERATION OF PERM.OUT FOR UTILIZATION IN STAT3336 AS PERM.INP. STAT543 MAY BE UTILIZED TO GENERATE BOTH STAT3336.INP AND STAT3336.IN2 AS STAT94.INP. ========================================================================= -- L 3337 -- ( GENERATING Q0-ELEMENT PERMUTATIONS FROM A FIXED BLOCK BY INCREMENTING EACH ELEMENT OF EACH FIXED PERMUTATION BY A DESIRED SEQUENCE OF CYCLIC UNIT INCREMENTS ) STAT3337 READS A SEQUENCE OF PMAX AON PERMUTATIONS OF DIMENSION Q0 FROM PERM.INP, EACH CONSISTING OF UNIQUE ELEMENTS. THE ROUTINE THEN CYCLICALLY ADDS A DESIRED NUMBER OF UNIT INCREMENTS TO EACH ELEMENT OF EACH PERMUTATION TO GENERATE A NEW SEQUENCE OF PERMUTATIONS. GENERATED OUTPUT PERMUTATIONS ARE RECORDED IN PERM.OUT. THE MAXIMUM VALUE OF PMAX IS 100. ========================================================================= -- L 3338 -- ( GENERATING ALL [ n C k0 ] V0-ELEMENT EVENTS FROM A PERMUTATION OF SIZE n AND RANKING V0-ELEMENT EVENTS FROM THE GENERATED SEQUENCE IN DESCENDING ORDER OF SUMS OR PRODUCTS OF PROBABILITY WEIGHTS OF ALL V0 ELEMENTS DETERMINED OVER THE ( IMAX x K0 )-DIMENSIONAL STAR EVENT BLOCK, BASED UPON A NEGATIVE-BINOMIAL PROBABILITY DISTRIBUTION FOR ALL V0-ELEMENT SUB-PERMUTATIONS , WHERE EITHER V0 = 2 FOR PAIRS OR V0 = 3 FOR TRIADS ) X ( VARIANT AND HYBRID OF STAT3272, STAT543, STAT3258 AND STAT3266 ) READS A SINGLE Q0-ELEMENT PERMUTATION FROM PERM.INP, AN L0-DIMENSIONAL SEQUENCE OF PROBABILITY WEIGHTS OF ELEMENTS FROM PERM.IN2 WHICH IS GENERATED VIA STAT3246 AS PERM.INP FOR USAGE BY STAT3338 OR STAT3320 AND MAY CONSIST OF GENERIC WEIGHTS FOR L0 ELEMENTS AND AN ARBITRARILY LARGE SEQUENCE OF TRANSLATION EVENTS IN STAT3338.INP. TEST EVENTS ARE FILTERED FROM PERM.INP AND RANKED IN DESCENDING ORDER OF PRODUCTS OR SUMS OF WEIGHTS OF ALL V0 ELEMENTS PER EVENT. AN EVENT IS [*]-QUALIFIED WHENEVER ELEMENT THE SUM OF WEIGHTS OVER V0 COLUMNS EXCEEDS LOWER BOUNDS SELECTED IN REAL-TIME BY THE ANALYST. STAT3338 IS A VARIANT OF STAT3273. HOWEVER, PROBABILITY WEIGHTS OF ELEMENTS ARE NOT DETERMINED IN REAL-TIME FROM STAT3250 AND RECORDED AS STAT3338.IN2 AND STAT3248.IN3 AS ( L0 x K0 ) - DIMENSIONAL BLOCKS WITH TEST EVENTS GENERATED FROM PERM.INP FOR WHICH WEIGHTS OF ALL K0 ELEMENTS LIE IN A RANGE OF PROBABILITIES BETWEEN TWO VECTOSS V1 = < P1, P2, P3, ..., PK0 > AND V2 = < Q1, Q2, Q3, ... , QK0 > IN PROB.INP. [*]-QUALIFYING EVENTS ARE RECORDED IN STAT94.INP, BUT ARE GENERATED DIRECTLY FROM PERM.INP BY SELECTING AND ANALYZING THE NEXT EVENT IN SEQUENCE, RATHER THAN RANDOMLY FROM A SUBROUTINE. CF. STAT3091, STAT3258, STAT3266, STAT543, AND STAT3273. ANALYTICS BASED UPON A NEGATIVE-BINOMIAL PROBABILITY DISTRIBUTION FOR ALL V0-ELEMENT SUB-PERMUTATIONS , WHERE EITHER V0 = 2 FOR PAIRS OF ELEMENTS OR V0 = 3 FOR TRIADS OF ELEMENTS ) ========================================================================= -- L 3339 -- ( GENERATING K0-ELEMENT EVENTS FROM A ( BMAX x V0 )-DIMENSIONAL BLOCK OF PAIRS OR TRIADS OF ELEMENTS BY SELECTING THE NEXT UNIQUE SEQUENTIAL ELEMENT IN THE ( BMAX x V0) - DIMENSIONAL BLOCK ) STAT3339 READS A SEQUENCE OF BMAX V0-ELEMENT TEST EVENTS FROM STAT3339.INP, UTILIZED TO GENERATE A SEQUENCE OF K0-ELEMENT EVENTS, WHERE EITHER V0 = 2 OR V0 = 3. STAT3339.INP MAY BE GENERATED BY STAT3338 AS STAT3339.INP, AS PAIRS OR TRIADS OF ELEMENTS. ========================================================================= -- L 3340 -- MONITOR MATRIX GENERATOR XXXXX FREQUENCY COUNTS FOR ELEMENTS IN A LARGE SEQUENCE OF K0-ELEMENT EVENTS ( VARIANT OF STAT2343 ) XII 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. STAT3340 IS A VARIANT OF STAT2343, STAT1030 AND STAT3149, ANALYZING EVENTS RATHER THAN PERMUTATIONS, WITH EVENTS FILTERED FROM SUB-BLOCKS OF SIZE BMAX. IF THE EXPECTED FREQUENCY CADENCE = 1/K, THEN STAT3340 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. STAT3340 READS SUB-BLOCKS OF BMAX INPUT TEST EVENTS FROM STAT3340.INP AND UP TO 600 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 = CUMULATIVE SUM OF INTERSECTION FREQUENCIES OF AN EVENT VS. A RANGE OF STAR EVENTS. STAT3340 IS A TEST EVENT VERSION OF STAT2349. CF. STAT2349 FOR THE PERMUTATION VERSION. CF. ALSO STAT2514, STAT2604 , STAT2606, AND STAT3149. ========================================================================= -- L 3341 -- ( FILTERING Q(J)-ELEMENT SUB-PERMUTATIONS VIA WEIGHTS FROM EACH ONE OF K0 COLUMNS OF AN (L0 x K0)-DIMENSIONAL BLOCK SUCH THAT EACH SUB-PERMUTATION ELEMENT WEIGHT IN EACH COLUMNS LIES WITHIN A PRESCRIBED INTERVAL , [ C1 , C2 ] U [ C3 , C4 ] ) STAT3341 READS AN ( L0 x K0)-DIMENSIONAL BLOCK OF ELEMENT WEIGHTS FROM STAT3341.IN3, GENERATED BY STAT3250, AND FILTERS, FOR EACH ONE OF THE K0 COLUMNS, A SUB-PERMUTATION FOR WHICH EACH ELEMENT WEIGHT LIES WITHIN A PRESCRIBED INTERVAL , [ C1 , C2 ] U [ C3 , C4 ] , SELECTED BY THE ANALYST. ========================================================================= -- L 3342 -- ( FILTERING Q0-ELEMENT SUB-PERMUTATIONS VIA WEIGHTS FROM EACH ONE OF K0 COLUMNS OF AN (L0 x K0)-DIMENSIONAL BLOCK SUCH THAT EACH CONTIGUOUS SUB-PERMUTATION OF A GIVEN SUB-STRING LENGTH HAS THE HIGHEST SUM OF WEIGHTS AND, HENCE, THE HIGHEST PROBABILITY OF OCCURRING IN THE NEXT STAR EVENT OF SIZE K0 ) STAT3342 READS AN ( L0 x K0)-DIMENSIONAL BLOCK OF ELEMENT WEIGHTS FROM STAT3342.IN3, GENERATED BY STAT3250, AND FILTERS, FOR EACH ONE OF THE K0 COLUMNS, A SUB-PERMUTATION OF SELECTED SIZE Q0 FOR WHICH HAS THE HIGHEST SUM OF WEIGHTS AND, HENCE, THE HIGHEST PROBABILITY OF OCCURRING IN THE NEXT STAR EVENT OF SIZE K0. CF. ALSO STAT3341. ========================================================================= -- L 3343 -- ( GENERATING K0-ELEMENT EVENTS FROM EVENTS IN A A FIXED (BMAX x K0)- DIMENSIONAL BLOCK BY THE SELECTION OF TRANSLATED K0-ELEMENT DIAGONAL VECTORS AND THEIR REVERSED-ORIENTATION VECTORS ) STAT3343 READS A ( BMAX x K0)-DIMENSIONAL BLOCK OF K0-ELEMENT EVENTS FROM STAT3343.INP, AN ARBITRARY SEQUENCE OF K0-ELEMENT TRANSLATION VECTORS FROM STAT3343.IN2, AND GENERATES A SEQUENE OF K0-ELEMENT EVENTS BY THE SELECTION OF TRANSLATED K0-ELEMENT DIAGONAL VECTORS AND THEIR REVERSED-ORIENTATION VECTORS. THE BMAX TEST EVENTS IN STAT3343.INP ARE, OPTIONALLY, INCLUDED IN THE GENERATED SEQUENCE IN STAT94.INP. STAT3343.INP MAY BE GENERATED BY STAT3212 AS STAT94.INP. ELEMENTS OF EVENTS IN STAT3343.INP ARE AUTOMATICALLY CONVERTED TO POSITIVE ELEMENTS. ========================================================================= -- L 3344 -- ( GENERATING K0-ELEMENT EVENTS FROM A DESIRED RANGE OF ELEMENTS, [ M1,M2 ], IN < 1, 2, ... , L0 > BY ADDING A SEQUENCE OF K0-1 DISPLACEMENTS OR TRANSLATIONS TO EACH CUMULATIVE ELEMENT, BEGINNING WITH ELEMENT M0 = M1 ) STAT3344 READS A LARGE BLOCK OF (K0-1)-ELEMENT DISPLACEMENT OR TRANSLATION VECTORS FROM STAT3344.IN2, A DESIRED RANGE OF ELEMENTS [ M1,M2 ] SELECTED IN REAL-TIME BY THE ANALYST, AND GENERATES A SEQUENCE OF K0-ELEMENT EVENTS BY ADDING A SEQUENCE OF K0-1 TRANSLATIONS OR DISPLACEMENTS TO EACH CUMULATIVE ELEMENT, BEGINNING WITH ELEMENT M0 = M1. ELEMENTS OF EVENTS IN STAT3344.INP ARE AUTOMATICALLY ADJUSTED, (MOD L0). A CUMULATIVE FILE OF (K0-1)- ELEMENT TRANSLATION VECTORS IS RECORDED IN STAT3344.OT2. ========================================================================= -- L 3345 -- ( DETERMINING A SEQUENCE OF WEIGHT_SUMS OF IMAX K0-ELEMENT STAR EVENTS FROM AN ( L0 x K0 )-DIMENSIONAL BLOCK OF SCALED INTEGER-VALUED VALUES FROM PROBABILITIES OF ELEMENTS < 1, .... , L0 > OVER K0-COLS AND GENERATING A (0,1)-(BINARY) SIGNATURE INCIDENCE FILE, REFLECTING A NEGATIVE-BINOMIAL PROBABILITY DISTRIBUTION FOR A SELECTED OR SCALED PROBABILITY WEIGHT_SUM ) READS AN ( IMAX x K0 -DIMENSIONAL BLOCK OF STAR EVENTS FROM BASE.INP AND AN ( L0 x K0 )-DIMENSIONAL BLOCK OF SCALED INTEGER-VALUED PROBABILITY WEIGHTS OF ELEMENTS FROM STAT3345.IN3 WHICH IS GENERATED VIA STAT3250 AS STAT3345.IN3 FOR USAGE BY STAT3345. WEIGHT_SUMS OF ALL IMAX STAR EVENTS ARE DETERMINED VIA STAT3345.IN3 AND A (0,1)-BINARY SIGNATURE INCIDENCE FILE FROM WEIGHT_SUMS IS DETERMINED FOR USAGE IN STAT3260, REFLECTING A NEGATIVE-BINOMIAL PROBABILITY DISTRIBUTION FOR A SELECTED OR PRESCRIBED WEIGHT_SUM. CF. STAT3277, STAT3091, STAT3258, STAT3266, STAT543, STAT3345, AND STAT3260. ========================================================================= -- L 3346 -- ( 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 IN DESCENDING ORDER OF SUMS OF PROBABILITY WEIGHTS OF ALL K0 ELEMENTS DETERMINED OVER EACH ONE OF K0 SEPARATE COLUMNS, BASED UPON A NEGATIVE-BINOMIAL PROBABILITY DISTRIBUTION FOR ALL ELEMENTS VIA A SELECTED SUBSEQUENCE OF WEIGHT-SUMS FOR K0-ELEMENT EVENTS WITH WT_SUMS DETERMINED AND GENERATED IN STAT3260.OT2 ) V ( VARIANT AND HYBRID OF STAT3272, STAT3258, STAT3266 AND STAT3288 ) READS A ( K0 x ENUM(I) )-DIMENSIONAL BLOCK OF PERMUTATION ELEMENTS, WHERE THE K0 ROWS ARE DISTINCT, AN ( L0 x K0 )-DIMENSIONAL BLOCK OF PROBABILITY WEIGHTS OF ELEMENTS FROM STAT3346.IN3 WHICH IS GENERATED VIA STAT3250 AS STAT3346.IN3 FOR USAGE BY STAT3346, AND A SEQUENCE OF IMAX K0-ELEMENT STAR EVENTS FROM BASE.INP. STAT3346.IN3 MAY CONSIST OF FREQUENCIES OR ANY DESIRED WEIGHTS FOR L0 ELEMENTS. TEST EVENTS ARE FILTERED FROM STAT3346.INP AND RANKED IN DESCENDING ORDER OF SUMS OF WEIGHTS OF ALL K0 ELEMENTS PER EVENT. AN EVENT IS FILTERED AS [*]-QUALIFIED WHENEVER THE SUM OF ELEMENT WEIGHTS OVER K0 ALL COLUMNS LIES WITHIN A SEQUENCE SELECTED BY THE ANALYST OR DETERMINED AND GENERATED BY STAT3260 IN STAT3260.OT2. STAT3346 IS A VARIANT OF STAT3288. PROBABILITY WEIGHTS OF ELEMENTS ARE DETERMINED IN REAL-TIME FROM STAT3250 AND RECORDED AS STAT3346.IN2 AND STAT3248.IN3 AS ( L0 x K0 ) - DIMENSIONAL BLOCKS WITH TEST EVENTS FILTERED FROM STAT3346.INP FOR WHICH WEIGHTS OF ALL K0 ELEMENTS LIE IN A RANGE OF PROBABILITIES BETWEEN TWO VECTOSS V1 = < P1, P2, P3, ..., PK0 > AND V2 = < Q1, Q2, Q3, ... , QK0 > IN PROB.INP. [*]-QUALIFYING EVENTS ARE RECORDED IN STAT94.INP, BUT ARE GENERATED DIRECTLY FROM PERM.INP BY SELECTING AND ANALYZING THE NEXT EVENT IN SEQUENCE, RATHER THAN RANDOMLY FROM A SUBROUTINE. CF. STAT3277, STAT3091, STAT3258, STAT3266, STAT543, STAT3346, STAT3260, AND STAT3288. ========================================================================= -- L 3347 -- MONITOR MATRIX GENERATOR XXIX FREQUENCY COUNTS FOR A SEQUENCE OF ELEMENTS < 1 , 2, ... , L0 > VS. A SEQUENCE OF STAR EVENTS ( PROBABILITY THAT AN ELEMENT DISPLACEMENT L OCCURS IN THE NEXT STAR EVENT VIA A NEGATIVE-BINOMIAL DISTRIBUTION FUNCTION OVER EACH ONE OF K0 SEPARAGE COLUMNS ) 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. STAT3347 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 NEGATIVE-BINOMIAL DISTRIBUTION DETERMINING THE Pr(EACH ELEMENT L WILL OCCUR FOLLOWING THE FINAL STAR EVENT). A DETERMINED THRESHOLD VALUE, M0, BASED UPON STAR EVENT INDEXES. STAT3347 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). STAT3347 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. STAT3347 IS A VARIANT OF STAT934, BUT ANALYZES ELEMENTS TO DETERMINE INDEX DISPLACEMENT CONFIGURATIONS AND GENERATES STAT3348.INP, A FILE OF DISPLACEMENT INDICES TO BE UTILIZED IN THE SELECTION OF ELEMENTS FOR PERM.INP IN STAT3348. CF. STAT3152 FOR ANALYSIS OF K0 SEPARATE COLUMNS OF STAR EVENTS. A CUMULATIVE FILE OF K0-ELEMENT TEST EVENTS CONSISTING OF THE ELEMENTS HAVING THE HIGHEST COMPUTED NEGATIVE-BINOMIAL PROBABILITY OCCURRENCE IN THE NEXT STAR EVENT IS RECORDED IN BOTH STAT94.INP AND THE CUMULATIVE FILE CUMULAT.OUT. CF. STAT3246 FOR A VERSION OF STAT3246 WHICH ANALYZES THE L0 ELEMENTS OVER THE ENTIRE (L0 x K0)-DIMENSIONAL BLOCK OF STAR EVENTS, RATHER THAN EACH ONE OF K0 SEPARATE COLUMNS. CF. STAT3253, WHICH ANALYZES A SEQUENCE OF DIMINISHING ROWS PER BLOCK TO GENERATE PERM.OUT, RATHER THAN ONE SINGLE ( BMAX x K0) - DIMENSIONAL BLOCK OF EVENTS FROM STAT3347.INP. AN ( L0 x K0 - DIMENSIONAL BLOCK OF 10 * Pr(L), FOR L = 1 , ... , L0 IS RECORDED IN STAT3258.IN2 FOR FUTURE USAGE IN STAT3258. A SCALED INTEGER VERSION OF STAT3258.IN2 IS RECORDED AS STAT3258.IN3 FOR VISUAL COMPARISON. A CUMULATIVE FILE OF TEST EVENT INDICES IS RECORDED IN STAT3265.INP FOR WHICH [*]-QUALIFYING ELEMENTS MATCH THOSE CORRESPONDING INDICES IN GENERATED FILE PERM2.OUT FOR FUTURE USAGE IN STAT3265. ========================================================================= -- L 3348 -- ( GENERATING A SEQUENCE OF K0-ELEMENT EVENTS FROM A ( K0 x L0 ) - DIMENSIONAL BLOCK OF PERMUTATIONS OF DISPLACEMENT ELEMENTS ) READS A ( K0 x L0 ) )-DIMENSIONAL BLOCK OF PERMUTATIONS OF DISPLACEMENT ELEMENTS FROM PERM.INP (GENERATED BY STAT3250 AS PERM2.OUT) AND AN ARBITRARILY LARGE SEQUENCE OF K0-ELEMENT EVENTS FROM STAT3348.INP (GENERATED BY STAT3347 AS STAT3348.INP ). THE COMBINED INPUT FILES ARE UTILIZED TO GENERATE A SEQUENCE OF K0-ELEMENT EVENTS WITH ELEMENTS IN L = < 1, 2, ... , L0 > , REPRESENTING DISPLACEMENTS FROM THE INITIAL COLUMN OF EACH PERMUTATION IN PERM.INP. ========================================================================= -- L 3349 -- ( FILTERING AND RANKING K0-ELEMENT EVENTS FROM AN ARBITRARILY LARGE SEQUENCE IN DESCENDING ORDER OF SUMS OF PROBABILITY WEIGHTS OF ALL K0 ELEMENTS DETERMINED OVER EACH ONE OF K0 SEPARATE COLUMNS BASED UPON A NEGATIVE-BINOMIAL PROBABILITY DISTRIBUTION FOR ALL ELEMENTS ) READS A LARGE SET OF K0-ELEMENT EVENTS FROM STAT3349.INP, AN (L0 x K0)- BLOCK OF PROBABILITY WEIGHTS OF ELEMENTS FROM STAT3349.IN2 ( PRE- GENERATED VIA STAT3250 AS STAT3349.IN3 FOR USAGE BY STAT3349, AND A SEQUENCE OF IMAX K0-ELEMENT K0-ELEMENT STAR EVENTS FROM BASE.INP. MAY CONSIST OF FREQUENCIES OR ANY DESIRED WEIGHTS FOR L0 ELEMENTS. TEST EVENTS ARE FILTERED FROM STAT3349.INP AND RANKED IN DESCENDING ORDER OF SUMS OF WEIGHTS OF ALL K0 ELEMENTS PER EVENT. AN EVENT IS FILTERED AS [*]-QUALIFIED WHENEVER ITS WEIGHT SUMUCT OVER K0 ELEMENTS EXCEEDS A LOWER BOUND SELECTED IN REAL-TIME BY THE ANALYST. STAT3349 IS A VARIANT OF STAT3258. HOWEVER, PROBABILITY WEIGHTS OF ELEMENTS ARE DETERMINED IN REAL-TIME FROM STAT3250 AND RECORDED AS STAT3349.IN2 AND STAT3248.IN3 AS ( L0 x K0 ) - DIMENSIONAL BLOCKS. [*]-QUALIFYING EVENTS ARE RECORDED IN STAT94.INP. CF. STAT3091. STAT3349 IS A VARIANT OF STAT3258, BUT PROCESSES WEIGHT SUMS, RATHER THAN WEIGHT PRODUCTS. ========================================================================= -- L 3350 -- STAT3350 READS A SEQUENCE OF PAIRS [ L,R ] FROM STAT3350.INP, WHERE L = # LONGSHOT ELEMENTS AND R = # REPEAT ELEMENTS PER EVENT, DETERMINES AND PRINTS : 1) A MATRIX INDICATING, FOR EACH EVENT IN A SEQUENCE, THE NUMBER PAIRS OF ELEMENTS WHICH HAVE OCCURRED CONCURRENTLY IN A PRECEDING EVENT, AS WELL AS, THE % OF EVENTS IN WHICH A SET OF SUCH PAIRS OF ELEMENTS OCCURS AND THE AVERAGE # PAIRS PER EVENT 2) A MATRIX OF LONGSHOT AND REPEAT ELEMENTS FOR A SEQUENCE OF EVENTS 3) A FREQUENCY MATRIX FOR REPEATED ELEMENTS AND LONGSHOTS FOR A SEQUENCE OF EVENTS 4) A FREQUENCY TABLE OF HITS FOR NUMBERS vs. # SKIPS SINCE THE LAST HIT FOR A FINAL OR GIVEN EVENT REQUESTED 5) A SKIP-AND-HIT MATRIX , INDICATING THE RELATIVE NUMBER OF EVENTS IN WHICH EACH ELEMENT HAS SKIPPED OR HIT ON A GIVEN DATE 6) FILTERS A SEQUENCE OF WAGERED EVENTS, BASED UPON A PRESCRIBED SEQUENCE OF EVENT TYPES (# LONG SHOT ELEMENTS PLUS # REPEAT ELEMENTS), CHOSEN BY THE ANALYST. (PROCESSES UP TO 50 BASE EVENTS AND 200 TEST EVENTS PER EXECUTION). 7) GENERATES BOTH OUTPUT FILES STAT1990.INP AND STAT2164.INP. 8) INVOKING STAT1938.BAT (BY TYPING STAT1938 AT THE PROMPT) AUTOMATICALLY COPIES THE GENERATED FILE STAT1990.INP INTO D:\STAT1938\STAT1938.IN2. 9) INVOKING STAT2164.BAT (BY TYPING STAT2164 AT THE PROMPT) AUTOMATICALLY COPIES THE GENERATED FILE PERM.OUT INTO D:\STAT2164\PERM.INP. 10) STAT3350 GENERATES STAT2875.INP AS STAT94.INP. STAT3350 IS A VARIANT OF STAT190, BUT GENERATES THE CUMULATIVE BINARY FILE STAT3260.INP TO BE UTILIZED AS PERM.INP IN STAT3260, AS A SEQUENCE OF BLOCKS OF BINARY DIGITS REPRESENTING EVENT-TYPES M1 = 10 * L + R , WHERE L = # LONGSHOT ELEMENTS AND R = # REPEAT ELEMENTS OF A GIVEN STAR EVENT. STAT3350 IS ALSO A VARIANT OF STAT3401, BUT PROCESS A DESIRED SEQUENCE OF PAIRS [ L,R ], FROM STAT3350.IN2, RATHER THAN A SINGLE SELECTED PAIR IN REAL-TIME. ========================================================================= -- L 3351 -- DETERMINES AND PRINTS : 1) A MATRIX INDICATING, FOR EACH EVENT IN A SEQUENCE, THE NUMBER PAIRS OF ELEMENTS WHICH HAVE OCCURRED CONCURRENTLY IN A PRECEDING EVENT, AS WELL AS, THE % OF EVENTS IN WHICH A SET OF SUCH PAIRS OF ELEMENTS OCCURS AND THE AVERAGE # PAIRS PER EVENT 2) A MATRIX OF LONGSHOT AND REPEAT ELEMENTS FOR A SEQUENCE OF EVENTS 3) A FREQUENCY MATRIX FOR REPEATED ELEMENTS AND LONGSHOTS FOR A SEQUENCE OF EVENTS 4) A FREQUENCY TABLE OF HITS FOR NUMBERS vs. # SKIPS SINCE THE LAST HIT FOR A FINAL OR GIVEN EVENT REQUESTED 5) A SKIP-AND-HIT MATRIX , INDICATING THE RELATIVE NUMBER OF EVENTS IN WHICH EACH ELEMENT HAS SKIPPED OR HIT ON A GIVEN DATE 6) FILTERS A SEQUENCE OF WAGERED EVENTS, BASED UPON A PRESCRIBED SEQUENCE OF EVENT TYPES (# LONG SHOT ELEMENTS PLUS # REPEAT ELEMENTS), CHOSEN BY THE ANALYST. (PROCESSES UP TO 50 BASE EVENTS AND 200 TEST EVENTS PER EXECUTION). 7) GENERATES BOTH OUTPUT FILES STAT1990.INP AND STAT2164.INP. 8) INVOKING STAT1938.BAT (BY TYPING STAT1938 AT THE PROMPT) AUTOMATICALLY COPIES THE GENERATED FILE STAT1990.INP INTO D:\STAT1938\STAT1938.IN2. 9) INVOKING STAT2164.BAT (BY TYPING STAT2164 AT THE PROMPT) AUTOMATICALLY COPIES THE GENERATED FILE PERM.OUT INTO D:\STAT2164\PERM.INP. 10) STAT3351 GENERATES STAT2875.INP AS STAT94.INP. STAT3351 IS A VARIANT AND CYCLIC VERSION OF STAT3350, GENERATING THE BINARY FILE STAT3260.INP TO BE UTILIZED AS PERM.INP IN STAT3260 FROM THE INPUT FILE TYPES.INP (RATHER THAN IN REAL TIME) AS A SEQUENCE OF BLOCKS OF BINARY DIGITS REPRESENTING EVENT-TYPES M1 = 10 * L + R , WHERE L = # LONGSHOT ELEMENTS AND R = # REPEAT ELEMENTS OF A GIVEN STAR EVENT. CF. STAT3350. ========================================================================= -- L 3352 -- ( GENERATING A BLOCK OF BINARY SEQUENCES REPRESENTING THE OCCURRENCE OR NON-OCCURRENCE OF K HIGH ELEMENTS FOR EACH K IN THE PRESCRIBED RANGE [ 0,K0 ] OVER A SEQUENCE OF IMAX K0-ELEMENT STAR EVENTS ) ( V1 = NH ) STAT3352 READS A SEQUENCE OF IMAX K0-ELEMENT STAR EVENTS FROM BASE.INP AND DETERMINES, FOR EACH K IN THE RANGE [ 0,K0 ] , A SEQUENCE OF IMAX BINARY VALUES REPRESENTING EITHER THE OCCURRENCE OR NON-OCCURRENCE OF K HIGH ELEMENTS OVER THE IMAX STAR EVENTS. THE SEQUENCE IS RECORDED IN STAT3260.INP FOR FURTHER ANALYSIS AS PERM.INP IN STAT3260 TO DETERMINE THE PROBABILITY OF SUCCESS (K EVENT ELEMENTS) AT TRIAL INDEX NUMBER IMAX+1. AN ELEMENT A(I,J) IS HIGH IFF A(I,J) .GE. L0/2. ========================================================================= -- L 3353 -- ( GENERATING A BLOCK OF BINARY SEQUENCES REPRESENTING THE OCCURRENCE OR NON-OCCURRENCE OF K EVEN UNIT'S DIGITS FOR EACH K IN THE PRESCRIBED RANGE [ 0,K0 ] OVER A SEQUENCE OF IMAX K0-ELEMENT STAR EVENTS ) ( V2 = NEUD ) STAT3353 READS A SEQUENCE OF IMAX K0-ELEMENT STAR EVENTS FROM BASE.INP AND DETERMINES, FOR EACH K IN THE RANGE [ 0,K0 ] , A SEQUENCE OF IMAX BINARY VALUES REPRESENTING EITHER THE OCCURRENCE OR NON-OCCURRENCE OF K EVEN UNIT'S DIGITS OVER THE IMAX STAR EVENTS. THE SEQUENCE IS RECORDED IN STAT3260.INP FOR FURTHER ANALYSIS AS PERM.INP IN STAT3260 TO DETERMINE THE PROBABILITY OF SUCCESS (K EVENT ELEMENTS) AT TRIAL INDEX NUMBER IMAX+1. ========================================================================= -- L 3354 -- ( GENERATING A BLOCK OF BINARY SEQUENCES REPRESENTING THE OCCURRENCE OR NON-OCCURRENCE OF ELEMENTS HAVING K EVEN TENS'S DIGITS FOR EACH K IN THE PRESCRIBED RANGE [ 0,K0 ] OVER A SEQUENCE OF IMAX K0-ELEMENT STAR EVENTS ) ( V3 = NETD ) STAT3354 READS A SEQUENCE OF IMAX K0-ELEMENT STAR EVENTS FROM BASE.INP AND DETERMINES, FOR EACH K IN THE RANGE [ 0,K0 ] , A SEQUENCE OF IMAX BINARY VALUES REPRESENTING EITHER THE OCCURRENCE OR NON-OCCURRENCE OF ELEMENTS HAVING K EVEN TEN'S DIGITS OVER THE IMAX STAR EVENTS. THE SEQUENCE IS RECORDED IN STAT3260.INP FOR FURTHER ANALYSIS AS PERM.INP IN STAT3260 TO DETERMINE THE PROBABILITY OF SUCCESS (K EVENT ELEMENTS) AT TRIAL INDEX NUMBER IMAX+1. ========================================================================= -- L 3355 -- ( GENERATING A BLOCK OF BINARY SEQUENCES REPRESENTING THE OCCURRENCE OR NON-OCCURRENCE OF K UNIT'S DIGITS HAVING MAGNITUDE .LE. 4 , FOR EACH K IN THE PRESCRIBED RANGE , [ 0,K0 ] , OVER A SEQUENCE OF IMAX K0-ELEMENT STAR EVENTS ) ( V4 = NUD4 ) STAT3355 READS A SEQUENCE OF IMAX K0-ELEMENT STAR EVENTS FROM BASE.INP AND DETERMINES, FOR EACH K IN THE RANGE [ 0,K0 ] , A SEQUENCE OF IMAX BINARY VALUES REPRESENTING EITHER THE OCCURRENCE OR NON-OCCURRENCE OF K UNIT'S DIGITS HAVING MAGNITUDE .LE. 4, FOR EACH STAR EVENT, OVER THE IMAX STAR EVENTS. THE SEQUENCE IS RECORDED IN STAT3260.INP FOR FURTHER ANALYSIS AS PERM.INP IN STAT3260 TO DETERMINE THE PROBABILITY OF SUCCESS (FOR K EVENT ELEMENTS) AT TRIAL INDEX IMAX+1. ========================================================================= -- L 3356 -- ( GENERATING A BLOCK OF BINARY SEQUENCES REPRESENTING THE OCCURRENCE OR NON-OCCURRENCE OF K TEN'S DIGITS HAVING MAGNITUDE .LE. 3 , FOR EACH K IN THE PRESCRIBED RANGE , [ 0,K0 ] , OVER A SEQUENCE OF IMAX K0-ELEMENT STAR EVENTS ) ( V5 = NTD3 ) STAT3356 READS A SEQUENCE OF IMAX K0-ELEMENT STAR EVENTS FROM BASE.INP AND DETERMINES, FOR EACH K IN THE RANGE [ 0,K0 ] , A SEQUENCE OF IMAX BINARY VALUES REPRESENTING EITHER THE OCCURRENCE OR NON-OCCURRENCE OF K TEN'S DIGITS HAVING MAGNITUDE .LE. 3, FOR EACH STAR EVENT, OVER THE IMAX STAR EVENTS. THE SEQUENCE IS RECORDED IN STAT3260.INP FOR FURTHER ANALYSIS AS PERM.INP IN STAT3260 TO DETERMINE THE PROBABILITY OF SUCCESS (FOR K EVENT ELEMENTS) AT TRIAL INDEX IMAX+1. ========================================================================= -- L 3357 -- ( GENERATING A BLOCK OF BINARY SEQUENCES REPRESENTING THE OCCURRENCE OR NON-OCCURRENCE OF K TEN'S DIGITS HAVING MAGNITUDE .LE. 2 , FOR EACH K IN THE PRESCRIBED RANGE , [ 0,K0 ] , OVER A SEQUENCE OF IMAX K0-ELEMENT STAR EVENTS ) ( V5 = NETD2 ) STAT3357 READS A SEQUENCE OF IMAX K0-ELEMENT STAR EVENTS FROM BASE.INP AND DETERMINES, FOR EACH K IN THE RANGE [ 0,K0 ] , A SEQUENCE OF IMAX BINARY VALUES REPRESENTING EITHER THE OCCURRENCE OR NON-OCCURRENCE OF K TEN'S DIGITS HAVING MAGNITUDE .LE. 2, FOR EACH STAR EVENT, OVER THE IMAX STAR EVENTS. THE SEQUENCE IS RECORDED IN STAT3260.INP FOR FURTHER ANALYSIS AS PERM.INP IN STAT3260 TO DETERMINE THE PROBABILITY OF SUCCESS (FOR K EVENT ELEMENTS) AT TRIAL INDEX IMAX+1. ========================================================================= -- L 3358 -- ( GENERATING A BLOCK OF BINARY SEQUENCES REPRESENTING THE OCCURRENCE OR NON-OCCURRENCE OF K TEN'S DIGITS HAVING MAGNITUDE .LE. 1 , FOR EACH K IN THE PRESCRIBED RANGE , [ 0,K0 ] , OVER A SEQUENCE OF IMAX K0-ELEMENT STAR EVENTS ) ( V5 = NETD1 ) STAT3358 READS A SEQUENCE OF IMAX K0-ELEMENT STAR EVENTS FROM BASE.INP AND DETERMINES, FOR EACH K IN THE RANGE [ 0,K0 ] , A SEQUENCE OF IMAX BINARY VALUES REPRESENTING EITHER THE OCCURRENCE OR NON-OCCURRENCE OF K TEN'S DIGITS HAVING MAGNITUDE .LE. 1, FOR EACH STAR EVENT, OVER THE IMAX STAR EVENTS. THE SEQUENCE IS RECORDED IN STAT3260.INP FOR FURTHER ANALYSIS AS PERM.INP IN STAT3260 TO DETERMINE THE PROBABILITY OF SUCCESS (FOR K EVENT ELEMENTS) AT TRIAL INDEX IMAX+1. ========================================================================= -- L 3359 -- ( GENERATING K0-ELEMENT EVENTS FROM EVENTS IN A A FIXED (BMAX x K0)- DIMENSIONAL BLOCK AND AN ARBITRARY SEQUENCE OF K0-ELEMENT ROW-INDEX SELECTION VECTORS ) STAT3359 READS A ( BMAX x K0)-DIMENSIONAL BLOCK OF K0-ELEMENT EVENTS FROM STAT3359.INP AND AN ARBITRARY SEQUENCE OF K0-ELEMENT ROW-INDEX- VECTORS FROM STAT3359.IN2, AND GENERATES A SEQUENCE OF K0-ELEMENT EVENTS INTO STAT94.INP FOR FURTHER ANALYSIS. THE BMAX TEST EVENTS IN STAT3359.INP ARE, OPTIONALLY, INCLUDED IN THE GENERATED SEQUENCE IN STAT94.INP. STAT3359.INP MAY BE GENERATED BY STAT3360.OUT OR STAT3361.OUT. ELEMENTS OF VECTORS IN STAT3359.IN2 ARE AUTOMATICALLY ADJUSTED (MOD K0). ========================================================================= -- L 3360 -- ( FILTERING AN ARBITRARILY LARGE SEQUENCE OF K0-ELEMENT TEST EVENTS, BASED UPON A PRESCRIBED OR SELECTED VECTOR V = [ V1,V2,V3,V4, V5 ] OF PRE-DETERMINED, OPTIMAL VALUES ) STAT3360 READS A SEQUENCE OF VECTORS V = [ V1,V2,V3,V4, V5 ] FROM STAT3360.IN2, AN ARBITRARILY LARGE SEQUENCE OF K0-ELEMENT EVENTS FROM STAT3360.INP, AN ( IMAX x K0 -DIMENSIONAL BLOCK OF STAR EVENTS FROM BASE.INP. EVENTS OF STAT3360.INP ARE FILTERED, BASED UPON A PRESCRIBED VECTOR V = [ V1,V2,V3,V4,V5 ] OF OPTIMAL VALUES DETERMINED, RESP., FROM STAT3352, STAT3353, STAT3354, STAT3355, STAT3356, STAT3357, STAT3358, AND STAT3260, WHERE, FOR A SPECIFIED K0-ELEMENT STAR EVENT, V1 = NH = # HIGH MAGNITUDE ELEMENTS .GE. L0/2 V2 = NEUD = # EVEN UNIT'S DIGIT ELEMENTS V3 = NETD = # EVEN TEN'S DIGIT ELEMENTS V4 = NUD4 = # UNIT'S DIGITS WITH MAGNITUDE .LE. 4 V5 = NTDJ = # TEN'S DIGITS WITH MAGNITUDE .LE. J (FOR J = 1, 2, OR 3 ) FILTERED EVENTS FROM STAT3360.INP ARE RECORDED IN STAT3360.OUT. STAT3360 IS A VARIANT AND TEST-EVENT VERSION OF STAT3361. ========================================================================= -- L 3361 -- ( GENERATING A SEQUENCE OF ( L0 C K0 ) K0-ELEMENT TEST EVENTS FROM A FIXED L0-ELEMENT PERMUTATION AND FILTERING KMAX K0-ELEMENT EVENTS BASED UPON A PRESCRIBED OR SELECTED SEQUENCE OF VECTORS V = [ V1,V2,V3,V4, V5 ] OF PRE-DETERMINED, OPTIMAL VALUES ) STAT3361 READS A SEQUENCE OF VECTORS V = [ V1,V2,V3,V4, V5 ] FROM STAT3361.INP,GENERATES A SEQUENCE OF K0-ELEMENT EVENTS FROM A FIXED L0-ELEMENT PERMUTATION IN PERM.INP AND FILTERS SELECTED K0-ELEMENT EVENTS INTO STAT3361.OUT. EVENTS ARE FILTERED, BASED UP A A PRESCRIBED VECTOR V = [ V1,V2,V3,V4,V5 ] OF OPTIMAL VALUES DETERMINED, RESP., FROM STAT3352, STAT3353, STAT3354, STAT3355, STAT3356, STAT3357, STAT3358, AND STAT3260, WHERE, FOR A SPECIFIED K0-ELEMENT STAR EVENT, V1 = NH = # HIGH MAGNITUDE ELEMENTS .GE. L0/2 V2 = NEUD = # EVEN UNIT'S DIGIT ELEMENTS V3 = NETD = # EVEN TEN'S DIGIT ELEMENTS V4 = NUD4 = # UNIT'S DIGITS WITH MAGNITUDE .LE. 4 V5 = NTDJ = # TEN'S DIGITS WITH MAGNITUDE .LE. J (FOR J = 1, 2, OR 3 ) FILTERED EVENTS FROM STAT3361.INP ARE RECORDED IN STAT3361.OUT. THE INPUT PERMUTATION PERM.INP MAY BE GENERATED BY STAT3246 AS PERM.OUT. STAT3361 IS A VARIANT OF STAT3360, BUT GENERATES THE KMAX K0-ELEMENT EVENTS FROM A FIXED PERMUTATION, AS OPPOSED TO READING THE EVENTS FROM A FIXED INPUT FILE. CF. STAT3360. ========================================================================= -- L 3362 -- ( GENERATING SELECTED BLOCKS OF K0-ELEMENT EVENTS FROM EVENTS IN A FIXED ( 5 x ICOLS )-DIMENSIONAL BLOCK BY SELECTING ROW AND COLUMNS INDICES WHICH SIMULATE VARIOUS HELIX CONFIGURATIONS ) STAT3362 READS A ( 5 x ICOLS )-DIMENSIONAL BLOCK OF K0-ELEMENT EVENTS FROM STAT3362.INP, WHERE ICOLS = 2, 3, 4, OR 5, AND GENERATES SELECTED BLOCKS OF K0-ELEMENT EVENTS BAED UPON SELECTIONS OF ROW AND COLUMN INDICES WHICH SIMULATE VARIOUS HELIX CONFIGURATIONS. STAT3362.INP MAY BE GENERATED FROM STAT3260.OT2 OR OTHER ROUTINES. GENERATED K0-ELEMENT EVENTS ARE RECORDED IN STAT3362.OUT, WHICH MAY BE UTILIZED AS STAT3360.IN2 OR STAT3361.IN2. ========================================================================= -- L 3363 -- ( GENERATING A BLOCK OF BINARY SEQUENCES REPRESENTING THE OCCURRENCE OR NON-OCCURRENCE OF EVEN/ODD ELEMENTS FOR EACH COLUMN J ( J = 1, ... ,K0 ) OVER A SEQUENCE OF IMAX K0-ELEMENT STAR EVENTS ) STAT3363 READS A SEQUENCE OF IMAX K0-ELEMENT STAR EVENTS FROM BASE.INP AND DETERMINES, FOR EACH COLUMN J IN THE RANGE [ 1,K0 ] , A SEQUENCE OF IMAX BINARY VALUES REPRESENTING EITHER THE OCCURRENCE OR NON-OCCURRENCE OF EVEN/ODD ELEMENTS OVER THE IMAX STAR EVENTS. THE SEQUENCE IS RECORDED IN STAT3260.INP FOR FURTHER ANALYSIS AS PERM.INP IN STAT3260 TO DETERMINE THE PROBABILITY OF SUCCESS (K EVEN/ODD ELEMENTS) AT TRIAL INDEX NUMBER IMAX+1. BACKING UP 29 EVENTS FROM STAR EVENT # IMAX+1 APPEARS TO BE AN OPTIMAL DISPLACMENT FOR ANALYSIS IN STAT3260. ========================================================================= -- L 3364 -- ( GENERATING A BLOCK OF BINARY SEQUENCES REPRESENTING THE OCCURRENCE OR NON-OCCURRENCE OF EVEN/ODD TEN'S DIGITS FOR COLUMN J ( J = 1, ... ,K0 ) OVER A SEQUENCE OF IMAX EACH K0-ELEMENT STAR EVENTS ) STAT3364 READS A SEQUENCE OF IMAX K0-ELEMENT STAR EVENTS FROM BASE.INP AND DETERMINES, FOR EACH COLUMN J IN THE RANGE [ 1,K0 ] , A SEQUENCE OF IMAX BINARY VALUES REPRESENTING EITHER THE OCCURRENCE OR NON-OCCURRENCE OF EVEN TEN'S DIGIT ELEMENTS OVER THE IMAX STAR EVENTS. THE SEQUENCE IS RECORDED IN STAT3260.INP FOR FURTHER ANALYSIS AS PERM.INP IN STAT3260 TO DETERMINE THE PROBABILITY OF SUCCESS (K EVEN/ODD TEN'S DIGITS) AT TRIAL INDEX NUMBER IMAX+1. BACKING UP 29 EVENTS FROM STAR EVENT # IMAX+1 APPEARS TO BE AN OPTIMAL DISPLACMENT FOR ANALYSIS IN STAT3260. ========================================================================= -- L 3365 -- ( GENERATING A BLOCK OF BINARY SEQUENCES REPRESENTING THE OCCURRENCE OR NON-OCCURRENCE OF UD.LE.4/UD.GT.4 FOR COLUMN J ( J = 1, ... ,K0 ) OVER A SEQUENCE OF IMAX K0-ELEMENT STAR EVENTS ) STAT3365 READS A SEQUENCE OF IMAX K0-ELEMENT STAR EVENTS FROM BASE.INP AND DETERMINES, FOR EACH COLUMN J IN THE RANGE [ 1,K0 ] , A SEQUENCE OF IMAX BINARY VALUES REPRESENTING EITHER THE OCCURRENCE OR NON-OCCURRENCE OF UD.LE.4/UD.GT.4 FOR ELEMENTS OVER THE IMAX STAR EVENTS. THE SEQUENCE IS RECORDED IN STAT3260.INP FOR FURTHER ANALYSIS AS PERM.INP IN STAT3260 TO DETERMINE THE PROBABILITY OF SUCCESS (UDLE4/UDG4) AT TRIAL INDEX NUMBER IMAX+1. BACKING UP 29 EVENTS FROM STAR EVENT # IMAX+1 APPEARS TO BE AN OPTIMAL DISPLACMENT FOR ANALYSIS IN STAT3260. ( UD.LE.4 <=====> UNIT'S DIGIT IS .LE. 4 ) ( UD.GT.4 <=====> UNIT'S DIGIT IS .GT. 4 ) ========================================================================= -- L 3366 -- ( GENERATING A BLOCK OF BINARY SEQUENCES REPRESENTING THE OCCURRENCE OR NON-OCCURRENCE OF TD.LE.3/TD.GT.3 FOR COLUMN J ( J = 1, ... ,K0 ) OVER A SEQUENCE OF IMAX K0-ELEMENT STAR EVENTS ) STAT3366 READS A SEQUENCE OF IMAX K0-ELEMENT STAR EVENTS FROM BASE.INP AND DETERMINES, FOR EACH COLUMN J IN THE RANGE [ 1,K0 ] , A SEQUENCE OF IMAX BINARY VALUES REPRESENTING EITHER THE OCCURRENCE OR NON-OCCURRENCE OF TD.LE.3/TD.GT.3 FOR ELEMENTS OVER THE IMAX STAR EVENTS. THE SEQUENCE IS RECORDED IN STAT3260.INP FOR FURTHER ANALYSIS AS PERM.INP IN STAT3260 TO DETERMINE THE PROBABILITY OF SUCCESS (TD.LE.3/TD.GT.3) AT TRIAL INDEX NUMBER IMAX+1. BACKING UP 29 EVENTS FROM STAR EVENT # IMAX+1 APPEARS TO BE AN OPTIMAL DISPLACMENT FOR ANALYSIS IN STAT3260. ( TD.LE.3 <=====> TEN'S DIGIT IS .LE. 3 ) ( TD.GT.3 <=====> TEN'S DIGIT IS .GT. 3 ) ========================================================================= -- L 3367 -- ( GENERATING A BLOCK OF BINARY SEQUENCES REPRESENTING THE OCCURRENCE OR NON-OCCURRENCE OF TD.LE.2/TD.GT.2 FOR COLUMN J ( J = 1, ... ,K0 ) OVER A SEQUENCE OF IMAX K0-ELEMENT STAR EVENTS ) STAT3367 READS A SEQUENCE OF IMAX K0-ELEMENT STAR EVENTS FROM BASE.INP AND DETERMINES, FOR EACH COLUMN J IN THE RANGE [ 1,K0 ] , A SEQUENCE OF IMAX BINARY VALUES REPRESENTING EITHER THE OCCURRENCE OR NON-OCCURRENCE OF TD.LE.2/TD.GT.2 FOR ELEMENTS OVER THE IMAX STAR EVENTS. THE SEQUENCE IS RECORDED IN STAT3260.INP FOR FURTHER ANALYSIS AS PERM.INP IN STAT3260 TO DETERMINE THE PROBABILITY OF SUCCESS (TD.LE.3/TD.GT.3) AT TRIAL INDEX NUMBER IMAX+1. BACKING UP 29 EVENTS FROM STAR EVENT # IMAX+1 APPEARS TO BE AN OPTIMAL DISPLACMENT FOR ANALYSIS IN STAT3260. ( TD.LE.2 <=====> TEN'S DIGIT IS .LE. 2 ) ( TD.GT.2 <=====> TEN'S DIGIT IS .GT. 2 ) ========================================================================= -- L 3368 -- ( GENERATING A BLOCK OF BINARY SEQUENCES REPRESENTING THE OCCURRENCE OR NON-OCCURRENCE OF TD.LE.1/TD.GT.1 FOR COLUMN J ( J = 1, ... ,K0 ) OVER A SEQUENCE OF IMAX K0-ELEMENT STAR EVENTS ) STAT3368 READS A SEQUENCE OF IMAX K0-ELEMENT STAR EVENTS FROM BASE.INP AND DETERMINES, FOR EACH COLUMN J IN THE RANGE [ 1,K0 ] , A SEQUENCE OF IMAX BINARY VALUES REPRESENTING EITHER THE OCCURRENCE OR NON-OCCURRENCE OF TD.LE.1/TD.GT.1 FOR ELEMENTS OVER THE IMAX STAR EVENTS. THE SEQUENCE IS RECORDED IN STAT3260.INP FOR FURTHER ANALYSIS AS PERM.INP IN STAT3260 TO DETERMINE THE PROBABILITY OF SUCCESS (TD.LE.1/TD.GT.1) AT TRIAL INDEX NUMBER IMAX+1. BACKING UP 29 EVENTS FROM STAR EVENT # IMAX+1 APPEARS TO BE AN OPTIMAL DISPLACMENT FOR ANALYSIS IN STAT3260. ( TD.LE.1 <=====> TEN'S DIGIT IS .LE. 1 ) ( TD.GT.1 <=====> TEN'S DIGIT IS .GT. 1 ) ========================================================================= -- L 3369 -- ( GENERATING A BLOCK OF BINARY SEQUENCES REPRESENTING THE OCCURRENCE OR NON-OCCURRENCE OF HIGH/LOW ELEMENTS FOR COLUMN J ( J = 1, ... ,K0 ) OVER A SEQUENCE OF IMAX K0-ELEMENT STAR EVENTS ) STAT3369 READS A SEQUENCE OF IMAX K0-ELEMENT STAR EVENTS FROM BASE.INP AND DETERMINES, FOR EACH COLUMN J IN THE RANGE [ 1,K0 ] , A SEQUENCE OF IMAX BINARY VALUES REPRESENTING EITHER THE OCCURRENCE OR NON-OCCURRENCE OF LOW/HIGH ELEMENTS OVER THE IMAX STAR EVENTS. THE SEQUENCE IS RECORDED IN STAT3260.INP FOR FURTHER ANALYSIS AS PERM.INP IN STAT3260 TO DETERMINE THE PROBABILITY OF SUCCESS (HIGH/LOW) AT TRIAL INDEX NUMBER IMAX+1. BACKING UP 29 EVENTS FROM STAR EVENT # IMAX+1 APPEARS TO BE AN OPTIMAL DISPLACMENT FOR ANALYSIS IN STAT3260. ( HIGH L <=====> L .GE. L0/2 ) ( LOW L <=====> L .LT. L0/2 ) ========================================================================= -- L 3370 -- ( FILTERING K0-ELEMENT EVENTS FROM AN ARBITRARILY LARGE SEQUENCE WHICH HAVE (0,1) BINARY CONFIGURATIONS MATCHING THE (0,1)-BINARY CONFIGURATION OF ONE OR MORE K0-ELEMENT (0,1)-BINARY VECTORS ) STAT3370 READS A SEQUENCE OF IMAX K0-ELEMENT STAR EVENTS FROM BASE.INP, AN ARBITRARILY LARGE SEQUENCE OF TEST EVENTS FROM STAT3370.INP, AND A SEQUENCE OF CMAX (0,1)-BINARY EVENTS FROM STAT3370.IN2, (REPRESENTING, E.G., HIGH/LOW, EVEN/ODD, ELEMENTS ). TEST EVENTS FROM STAT3370.INP ARE FILTERED WHICH PERFECTLY MATCH A PRESCRIBED CONFIGURATION TYPE IN STAT2300.IN2, E.G., GENERATED BY STAT3363, STAT3364, STAT3365,STAT3366, STAT3367, STAT3368, AND STAT3369, OR STAT2303. STAT3370.IN2 BE BE GENERATED ALSO BY STAT3260.IN2. CF. ALSO STAT2298 AND STAT2299, AND STAT2301. THE FOLLOWING METHODS ARE UTILIZED WHEN FILTERING TEST EVENTS: 1 ) ELEMENT is HIGH (TEST METHOD 1)' 2 ) EVEN UNIT"S DIGIT (TEST METHOD 2)' 3 ) EVEN TEN"S DIGIT (TEST METHOD 3)' 4 ) UNIT"S DIGIT .LE. 4 (TEST METHOD 4)' 5 ) TEN"S DIGIT .LE. 3 (TEST METHOD 5)' 6 ) TEN"S DIGIT .LE. 2 (TEST METHOD 6)' 7 ) TEN"S DIGIT .LE. 1 (TEST METHOD 7)' ========================================================================= -- L 3371 -- ( FILTERING K0-ELEMENT EVENTS FROM AN ARBITRARILY LARGE SEQUENCE WHICH HAVE (0,1) BINARY CONFIGURATIONS MATCHING THE (0,1)-BINARY CONFIGURATION OF ONE OR MORE K0-ELEMENT (0,1)-BINARY VECTORS ) STAT3371 READS A SEQUENCE OF IMAX K0-ELEMENT STAR EVENTS FROM BASE.INP, AN L0-DIMENSIONAL PERMUTATION OF ELEMENTS < 1, ... , L0 > PERM.INP, AND A SEQUENCE OF CMAX (0,1)-BINARY EVENTS FROM STAT3371.IN2, (REPRESENTING, E.G., HIGH/LOW, EVEN/ODD, ELEMENTS ). TEST EVENTS FROM STAT3371.INP ARE FILTERED WHICH PERFECTLY MATCH A PRESCRIBED CONFIGURATION TYPE IN STAT2300.IN2, E.G., GENERATED BY STAT3363, STAT3364, STAT3365,STAT3366, STAT3367, STAT3368, AND STAT3369, OR STAT2303. STAT3371.IN2 BE BE GENERATED ALSO BY STAT3260.IN2. CF. ALSO STAT2298 AND STAT2299, AND STAT2301. STAT3371.INP, GENERATES A SEQUENCE OF K0-ELEMENT EVENTS FROM A FIXED L0-ELEMENT PERMUTATION IN PERM.INP AND FILTERS SELECTED K0- ELEMENT EVENTS INTO STAT3361.OUT. EVENTS ARE FILTERED, BASED UPON A A PRESCRIBED VECTOR V = [ C1,C2,C3,C4,C5,C6 ] OF OPTIMAL (0,1) VALUES. ONE OF THE FOLLOWING METHODS IS UTILIZED WHEN FILTERING TEST EVENTS GENERATED FROM PERM.INP: 1 ) ELEMENT is HIGH (TEST METHOD 1)' 2 ) EVEN UNIT"S DIGIT (TEST METHOD 2)' 3 ) EVEN TEN"S DIGIT (TEST METHOD 3)' 4 ) UNIT"S DIGIT .LE. 4 (TEST METHOD 4)' 5 ) TEN"S DIGIT .LE. 3 (TEST METHOD 5)' 6 ) TEN"S DIGIT .LE. 2 (TEST METHOD 6)' 7 ) TEN"S DIGIT .LE. 1 (TEST METHOD 7)' ========================================================================= -- L 3372 -- ( GENERATING K0-ELEMENT EVENTS FROM A FIXED BLOCK OF K0-ELEMENT TEST EVENTS AND DETERMINING THE PROBABILITY OF SUCCESS FOR THE FIXED BLOCK WHEN INTERSECTED VS. THE LAST IMAX STAR EVENTS ) ( VARIANT OF STAT1650 ) STAT3372 READS A FIXED BLOCK OF BMAX K0-ELEMENT TEST EVENTS FROM STAT3372.INP AND A SEQUENCE OF IMAX K0-ELEMENT STAR EVENTS FROM BASE.INP, FLAGGING THE ELEMENTS OF A DESIRED RANGE OF STAR EVENTS AS THEY OCCUR AMONG THE ELEMENTS OF FILTERED TEST EVENTS. 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. STAT3372 IS A VARIANT OF STAT1649, TACITLY GENERATING A SEQUENCE OF HIGH-PROBABILITY TEST EVENTS IN STAT3372.OUT AND STAT94.INP. CF. STAT1649, STAT1650, AND STAT1641 FOR GENERATING STAT3372.INP IN THE FORM OF STAT94.INP. STAT3372 ALSO DETERMINES THE PROBABILITY THAT THE GENERATED BLOCK OF EVENTS IN STAT94.INP WILL BE A SUCCESS ON THE NEXT TRIAL, AS WELL AS A CODE OF EITHER "GREEN" OR "RED", IDENTIFYING PREDICTED SUCCESS OR FAILURE. STAT3372 IS ALSO A VARIANT OF STAT1650, BUT ANALYZES A FIXED INPUT BLOCK FROM STAT3372.INP. ========================================================================= -- L 3373 -- ( RANKING OF K0-ELEMENT EVENTS BY DESCENDING OR ASCENDING WEIGHT-SUMS OF FUNCTIONAL VALUES OF ALL K0 ELEMENTS PER EVENT ) STAT3373 READS A SEQUENCE OF L0 GENERIC FUNCTIONAL WEIGHTS FROM PERM.INP, A LARGE SEQUENCE OF K0-ELEMENT TEST EVENTS FROM STAT3373.INP AND A SEQUENCE OF IMAX K0-ELEMENT STAR EVENTS FROM BASE.INP. THE STAR EVENTS IN BASE.INP ARE USED TO DETERMINE THE OCCURRENCE OF ELEMENTS 1, 2, ... , L0 , WHERE THE WEIGHT OF ELEMENT L IS EQUIVALENT TO ITS FUNCTIONAL VALUE OVER IMAX STAR EVENTS. A SELECTED STAR EVENT OR SEQUENCE OF STAR EVENTS IS THEN INTERSECTED WITH EACH GENERATED TEST EVENT FOR UP TO 600 POSSIBLE STAR EVENTS. 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 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. STAT3373 IS A VARIANT OF STAT1229, TACITLY GENERATING A SEQUENCE OF HIGH-PROBABILITY TEST EVENTS IN STAT3373.OUT AND STAT94.INP. HOWEVER, THE WEIGHTS OF ELEMENTS F(L) ARE ACTUALLY A GENERIC SEQUENCE PRE-DETERMINED AND GENERATED BY ANOTHER ROUTINE FOR EACH L IN < 1, 2, ... , L0 >. IN STAT1229 THE WEIGHTS OF ELEMENTS, BY CONTRAST, ARE FREQUENCIES DETERMINED WITHIN THE ROUTINE STAT1229.FOR. ========================================================================= -- L 3374 -- 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 GEOMETRIC PROBABILITY DISTRIBUTION FUNCTION OVER EACH ONE OF K0 SEPARATE COLUMNS ) ( VARIANT AND HYBRID OF STAT3250 AND STAT3246 ) 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. STAT3374 IS A VARIANT OF STAT3050, ANALYZING EACH FIXED ELEMENT OF T, RATHER THAN INTERSECTIONS OF K0-ELEMENT EVENTS VS. THE BASE SET OF STAR EVENTS, BUT FILTERING 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 OVER K0 SEPARATE COLUMNS, RATHER THAN THE ENTIRE (IMAX x K0)-BLOCK. STAT3374 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). STAT3374 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. STAT3374 IS A VARIANT OF STAT934, BUT UTILIZES A DIFFERENT ALGORITHMIC TECHNIQUE FOR DETERMINING HIGH-PROBABILITY ELEMENTS. SIGNIFICANTLY, STAT3374 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. ( , AND GENERATES A COMPLETE SET OF 2-ELEMENT EVENTS, DETERMINES THE NUMBER OF ELEMENTS IN EACH EVENT VS. A BASE SET OF STAR EVENTS IN BASE.INP, DETERMINES THE RELATIVE FREQUENCIES AND SUM OF RELATIVE FREQUENCIES OF COMMON ELEMENTS BETWEEN EVENTS FOR COMPARISON, AND GENERATES A MONITOR MATRIX REFLECTING THE PATTERNS OF MATCHES FROM THE ABOVE SEQUENCE OF BASE SETS. STAT3383 IS A VARIANT STAT3269, ANALYZING EVENTS WITH EVENTS FILTERED FROM INTO STAT94.INP, STAT94.IN2, AND STAT94.IN3. A GEOMETRIC DISTRIBUTION DETERMINES AND FILTERS [*]-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 STAT3383 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. STAT3383 READS SUB-BLOCKS OF BMAX INPUT TEST EVENTS FROM STAT3383.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. STAT3383 IS A DERIVATIVE AND VARIANT OF STAT2343 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 STAT3383 WHICH RANKS [*]-QUALIFYING EVENTS IN DESCENDING ORDER OF JDELTA = MTC - IRATIO. IN STAT3383, 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. STAT3269 FOR THE TEST EVENT VERSION OF STAT3383. ========================================================================= -- L 3384 -- MONITOR MATRIX GENERATOR XXXXX FREQUENCY COUNTS FOR ELEMENTS IN A LARGE SEQUENCE OF 2-ELEMENT EVENTS XI ( CASE: K0 = 2 [PAIRS] ) ( VARIANT OF STAT3269, STAT3383, AND STAT3385 ) ( UTILIZING A GEOMETRIC DISTRIBUTION TO DETERMINE PROBABILITIES ) READS A FIXED L0-ELEMENT PERMUTATION FROM PERM.INP ON THE ELEMENTS < 1,...,L0>, AND GENERATES A COMPLETE SET OF 3-ELEMENT EVENTS, DETERMINES THE NUMBER OF ELEMENTS IN EACH EVENT VS. A BASE SET OF STAR EVENTS IN BASE.INP, DETERMINES THE RELATIVE FREQUENCIES AND SUM OF RELATIVE FREQUENCIES OF COMMON ELEMENTS BETWEEN EVENTS FOR COMPARISON, AND GENERATES A MONITOR MATRIX REFLECTING THE PATTERNS OF MATCHES FROM THE ABOVE SEQUENCE OF BASE SETS. STAT3384 IS A VARIANT STAT3269, ANALYZING EVENTS WITH EVENTS FILTERED FROM INTO STAT94.INP, STAT94.IN2, AND STAT94.IN3. A GEOMETRIC DISTRIBUTION DETERMINES AND FILTERS [*]-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 STAT3384 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. STAT3384 READS SUB-BLOCKS OF BMAX INPUT TEST EVENTS FROM STAT3384.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. STAT3384 IS A DERIVATIVE AND VARIANT OF STAT2343 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 STAT3384 WHICH RANKS [*]-QUALIFYING EVENTS IN DESCENDING ORDER OF JDELTA = MTC - IRATIO. IN STAT3384, 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. STAT3269 FOR THE TEST EVENT VERSION OF STAT3384. ========================================================================= -- L 3385 -- MONITOR MATRIX GENERATOR XXXXX FREQUENCY COUNTS FOR ELEMENTS IN A LARGE SEQUENCE OF K0-ELEMENT EVENTS XII ( VARIANT OF STAT3269, STAT3383, AND STAT3384 ) ( UTILIZING A GEOMETRIC DISTRIBUTION TO DETERMINE PROBABILITIES ) READS A FIXED L0-ELEMENT PERMUTATION FROM PERM.INP ON THE ELEMENTS < 1,...,L0>, AND GENERATES A COMPLETE SET OF K0-ELEMENT EVENTS DETERMINES THE NUMBER OF ELEMENTS IN EACH EVENT VS. A BASE SET OF STAR EVENTS IN BASE.INP, DETERMINES THE RELATIVE FREQUENCIES AND SUM OF RELATIVE FREQUENCIES OF COMMON ELEMENTS BETWEEN EVENTS FOR COMPARISON, AND GENERATES A MONITOR MATRIX REFLECTING THE PATTERNS OF MATCHES FROM THE ABOVE SEQUENCE OF BASE SETS. STAT3385 IS A VARIANT STAT3269, ANALYZING EVENTS WITH EVENTS FILTERED FROM INTO STAT94.INP, STAT94.IN2, AND STAT94.IN3. A GEOMETRIC DISTRIBUTION DETERMINES AND FILTERS [*]-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 STAT3385 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. STAT3385 READS SUB-BLOCKS OF BMAX INPUT TEST EVENTS FROM STAT3385.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. STAT3385 IS A DERIVATIVE AND VARIANT OF STAT2343 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 STAT3385 WHICH RANKS [*]-QUALIFYING EVENTS IN DESCENDING ORDER OF JDELTA = MTC - IRATIO. IN STAT3385, 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. STAT3269 FOR THE TEST EVENT VERSION OF STAT3385. ========================================================================= -- L 3386 -- ( GENERATING K0-ELEMENT EVENTS FROM A BMAX-EVENT BLOCK OF 3-ELEMENT EVENTS BY SELECTING THE UNION OF BI-PARTITE PAIRS OF ALL EVENTS ) READS A BMAX-EVENT BLOCK OF 3-ELEMENT EVENTS FROM STAT3386.INP. A SEQUENCE OF CMAX = (BMAX-1)*BMAX/2 K0-ELEMENT EVENTS IS GENERATED BY SELECTING THE COMPLETE UNION OF BIPARTITE PAIRS OF ALL 3-ELEMENT EVENTS. [*]-QUALIFYING EVENTS ARE RECORDED IN STAT3386.OUT. CF. ALSO STAT3387 WHICH GENERATES K0-ELEMENT EVENTS FROM A FIXED BLOCK OF BMAX 2-ELEMENT EVENTS. ========================================================================= -- L 3387 -- ( GENERATING K0-ELEMENT EVENTS FROM A BMAX-EVENT BLOCK OF 2-ELEMENT EVENTS BY SELECTING THE UNION OF BI-PARTITE TRIADS OF ALL EVENTS ) READS A BMAX-EVENT BLOCK OF 2-ELEMENT EVENTS FROM STAT3387.INP. A SEQUENCE OF CMAX = (BMAX-1)*BMAX/2 K0-ELEMENT EVENTS IS GENERATED BY SELECTING THE COMPLETE UNION OF BI-PARTITE TRIADS OF ALL 2-ELEMENT EVENTS. [*]-QUALIFYING EVENTS ARE RECORDED IN STAT3387.OUT. CF. ALSO STAT3386 WHICH GENERATES K0-ELEMENT EVENTS FROM A FIXED BLOCK OF BMAX 3-ELEMENT EVENTS. ========================================================================= -- L 3388 -- ( GENERATING K0-ELEMENT EVENTS FROM A BMAX-EVENT BLOCK OF K0-ELEMENT EVENTS BY SELECTING AN AD HOC COMBINATION OF ELEMENTS FROM THE UNION OF BI-PARTITE PAIRS OF ALL EVENTS ) READS A BMAX-EVENT BLOCK OF K0-ELEMENT EVENTS FROM STAT3388.INP. A SEQUENCE OF BMAX-1 K0-ELEMENT EVENTS IS GENERATED BY SELECTING AN AD HOC COMBINATION OF ELEMENTS FROM THE UNION OF BI-PARTITE PAIRS OF K0-EVENTS. [*]-QUALIFYING EVENTS ARE RECORDED IN STAT3388.OUT. ========================================================================= -- L 3389 -- ( DETERMINES THE VALUE OF [ n C k ] , the NUMBER OF COMBINATIONS OF n ELEMENTS TAKEN k AT A TIME, FOR SELECTED VALUES of n AND k ) READS A DESIRED PAIR OF VALUES , n AND k , AND DETERMINES [ n C k ], THE TOTAL NUMBER OF COMBINATIONS of n OBJECTS TAKEN k AT A TIME. ========================================================================= -- L 3390 -- ( DETERMINES THE VALUE OF [ n C k ] , the NUMBER OF COMBINATIONS OF n ELEMENTS TAKEN k AT A TIME, FOR SELECTED SEQUENCE OF PAIRS OF VALUES FOR n and k ) II ( VARIANT OF STAT3389 ) READS A DESIRED SEQUENCE OF PAIRS OF VALUES , , FROM STAT3390.INP AND DETERMINES [ n C k ], THE TOTAL NUMBER OF COMBINATIONS of n OBJECTS TAKEN k AT A TIME FOR EACH PAIR IN THE SEQUENCE . STAT3390 IS A VARIANT OF STAT3389, WHICH PROCESSES A SINGLE PAIR, (n,k). ========================================================================= -- L 3391 -- ( GENERATING K0-ELEMENT EVENTS FROM A BMAX-EVENT BLOCK OF K0-ELEMENT EVENTS BY SELECTING HELIX-CONFIGURATIONS OF K0 ELEMENTS FROM THE UNION OF BI-PARTITE PAIRS OF ALL EVENTS ) II READS A BMAX-EVENT BLOCK OF K0-ELEMENT EVENTS FROM STAT3391.INP. A SEQUENCE OF BMAX K0-ELEMENT EVENTS IS GENERATED BY SELECTING HELIX CONFIGURATIONS OF ELEMENTS FROM THE UNION OF BI-PARTITE PAIRS OF K0-EVENTS. [*]-QUALIFYING EVENTS ARE RECORDED IN STAT3391.OUT. STAT3391 IS A VARIANT OF STAT3388. ========================================================================= -- L 3392 -- ( GENERATING K0-ELEMENT EVENTS FROM A BMAX-EVENT BLOCK OF K0-ELEMENT EVENTS BY SELECTING RECTANGULAR-CONFIGURATIONS AND TRANSLATIONS OF SELECTED ELEMENTS FROM THE THE BMAX-EVENT BLOCK ) READS A BMAX-EVENT BLOCK OF K0-ELEMENT EVENTS FROM STAT3392.INP. A SEQUENCE OF BMAX K0-ELEMENT EVENTS IS GENERATED BY SELECTING RECTANGULAR-ONFIGURATIONS AND TRANSLATIONS OF SELECTED ELEMENTS FROM THE BMAX-EVENT BLOCK. [*]-QUALIFYING EVENTS ARE RECORDED IN STAT3392.OUT. STAT3392 IS A VARIANT OF STAT3388 AND STAT3391. ========================================================================= -- L 3393 -- ( FILTERING K0-ELEMENT EVENTS FROM A LARGE SEQUENCE WITH ELEMENTS APPEARING, AT MOST, ONCE IN EACH ONE OF THE K0 COLUMNS , WHEN INTERSECTED WITH ALL PREVIOUSLY SELECTED K0-ELEMENT EVENTS ) READS A LARGE BLOCK OF K0-ELEMENT EVENTS FROM STAT3393.INP. THOSE EVENTS ARE FILTERED FROM STAT3393.INP FOR WHICH EACH ELEMENT IN EACH COLUMN HAS APPEARED, AT MOST, ONCE IN A PREVIOUSLY FILTERED K0-ELEMENT EVENT FOR A DESIRED MAXIMUM OF BMAX TEST EVENTS. [*]-QUALIFYING EVENTS ARE RECORDED IN STAT94.INP. THIS ALLOWS FILTERING FROM AN ARBITRARILY LARGE SUB-SEQUENCE OF THE K0-ELEMENT TEST EVENTS FROM STAT3393.INP. STAT3393 PROCESSES TEST EVENTS FOR WHICH L0 = 39, 59, OR 75. CF. ALSO STAT3393. ========================================================================= -- L 3394 -- ( GENERATING 5-ELEMENT EVENTS FROM A BMAX-EVENT BLOCK OF 6-ELEMENT EVENTS BY SELECTING ELEMENTS FROM EVERY TWO PAIRS OF COLUMNS UNION A SINGLE ELEMENT FROM THE REMAINING TWO COLUMNS PER EVENT ) READS A BMAX-EVENT BLOCK OF 6-ELEMENT EVENTS FROM STAT3394.INP. A SEQUENCE OF BMAX 5-ELEMENT EVENTS IS GENERATED BY SELECTING ELEMENTS FROM EVERY TWO PAIRS OF COLUMNS UNION A SINGLE ELEMENT FROM THE REMAINING TWO COLUMNS PER EVENT. THIS PROCESS RESULTS IN 6 GENERATED EVENTS PER INPUT EVENT. [*]-QUALIFYING EVENTS ARE RECORDED IN STAT3394.OUT. CF. STAT28 FOR AN APPLICATION TO WHEELING SYSTEMS INVOLVING SELECTED PAIRS OF ELEMENTS. ========================================================================= -- L 3395 -- ( GENERATING Q0-ELEMENT PERMUTATIONS FROM AN INPUT BLOCK OF K0-ELEMENT EVENTS BY SELECTING Q0 NON-REPEATING ELEMENTS FROM THE INPUT BLOCK ) READS A BLOCK OF K0-ELEMENT EVENTS FROM STAT3395.INP. A PERMUTATION OF DIMENSION Q0 IS GENERATED FROM STAT3395.INP AND RECORDED AS Q0 NON-REPEATING ELEMENTS IN PERM.INP, WHICH MAY TACITLY UTILIZED IN STAT3121, STAT543, OR ANOTHER APPROPRIATE ROUTINE. ========================================================================= -- L 3396 -- 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 GEOMETRIC PROBABILITY DISTRIBUTION FUNCTION ) 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. STAT3396 IS A VARIANT OF STAT1015, ANALYZING EACH FIXED ELEMENT OF T, RATHER THAN INTERSECTIONS OF K0-ELEMENT EVENTS VS. THE BASE SET OF STAR EVENTS, BUT FILTERING 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. STAT3396 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). STAT3396 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. STAT3396 IS A VARIANT OF STAT934, BUT UTILIZES A DIFFERENT ALGORITHMIC TECHNIQUE FOR DETERMINING HIGH-PROBABILITY ELEMENTS. SIGNIFICANTLY, STAT3396 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 * ( PP(L) - PROB(L) ) FOR EACH ELEMENT L. ( , L = 1, 2, ... , L0. ========================================================================= -- L 3397 -- 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 GEOMETRIC PROBABILITY DISTRIBUTION FUNCTION ) 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. STAT3397 IS A VARIANT OF STAT1015, ANALYZING EACH FIXED ELEMENT OF T, RATHER THAN INTERSECTIONS OF K0-ELEMENT EVENTS VS. THE BASE SET OF STAR EVENTS, BUT FILTERING 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. STAT3397 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). STAT3397 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. STAT3397 IS A VARIANT OF STAT934, BUT UTILIZES A DIFFERENT ALGORITHMIC TECHNIQUE FOR DETERMINING HIGH-PROBABILITY ELEMENTS. SIGNIFICANTLY, STAT3397 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) = 100 * ( PP(L) - PROB(L) ) FOR EACH ELEMENT L. ( , L = 1, 2, ... , L0. ========================================================================= -- L 3398 -- READS AN L0-ELEMENT PERMUTATION FROM PERM.INP AND DETERMINES A Q0-ELEMENT SUB-PERMUTATION BASED UPON A PRE-DETERMINED INDEX DISPLACEMENT VECTOR [ M1,M2,M3,M4 ], WHERE THE COMPONENTS ARE INDEX DISPLACEMENTS OF SELECTED ELEMENTS FROM THE LEFT-MOST ELEMENT INDEX, THE RIGHT-MOST ELEMENT INDEX, TO THE LEFT OF THE QUASI-MEDIAN INDEX, AND TO THE RIGHT OF THE QUASI-MEDIAN INDEX, RESPECTIVELY. THE FILTERED PERMUTATION IS RECORDED IN STAT3398.OUT AND PERM.INP FOR FURTHER ANALYSIS. A PROJECTED K0-ELEMENT STAR EVENT IS INTERSECTED WITH THE GENERATED PERMUTATION OF PERM.INP AND COMMON ELEMENTS ARE IDENTIFIED. A DESIRED (+/-) VALUE, M0, IS UTILIZED TO TRANSLATE ELEMENTS IN THE THE LEFT- AND RIGHT- HALVES OF EACH GENERATED PERMUTATION IN PERM.INP. STAT3398 US A VARIANT OF STAT3399. ========================================================================= -- L 3399 -- ( INDEX DISPLACEMENT STEP-SIZE VERSION OF STAT3398 ) READS AN L0-ELEMENT PERMUTATION FROM PERM.INP AND DETERMINES A Q0-ELEMENT SUB-PERMUTATION BASED UPON A SELECTED INDEX DISPLACEMENT VECTOR [ M1,M2,M3,M4 ], WHERE THE COMPONENTS ARE INDEX DISPLACEMENTS OF SELECTED ELEMENTS FROM THE LEFT-MOST ELEMENT INDEX, THE RIGHT-MOST ELEMENT INDEX, TO THE LEFT OF THE QUASI-MEDIAN INDEX, AND TO THE RIGHT OF THE QUASI-MEDIAN INDEX, RESPECTIVELY. THE FILTERED PERMUTATION IS RECORDED IN STAT3399.OUT AND PERM.INP FOR FURTHER ANALYSIS. A PROJECTED K0-ELEMENT STAR EVENT IS INTERSECTED WITH THE GENERATED PERMUTATION OF PERM.INP AND COMMON ELEMENTS ARE IDENTIFIED. A DESIRED (+/-) VALUE, M0, IS UTILIZED TO TRANSLATE ELEMENTS IN THE THE LEFT- AND RIGHT- HALVES OF EACH GENERATED PERMUTATION IN PERM.INP. STAT3399 IS A VARIANT OF STAT3398, WITH ARBITRARY INDEX DISPLACEMENT STEP-SIZE, J0 , ALLOWED BETWEEN SELECTED ELEMENTS OF PERM.INP. =========================================================================