= = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = COMP-U-STAT = = = = = = = = STATISTICAL PATTERN GENERATOR AND MATHEMATICAL TREND ANALYZER = = = = = = = = (c) Copyright 2017 by James Ervin Glover, Ph.D. = = = = All Rights Reserved = = = = = = = = = = = = Part IV(b) ( STAT 429 ----> STAT 499 ) = = = = = = = = = = = = 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 429 ---> 499 * * * ====================================================================== -- L 429 -- READS A SEQUENCE OF IMAX STAR EVENTS ON ELEMENTS < 1 , ... , K0 > AND A SEQUENCE OF PNUM PERMUTATIONS OF VARIABLE SIZES DEFINED ON A SUBSET OF THE SET, < 1, 2, ... , L0 >, AND DETERMINES OVERLAPPING SUBSEQUENCES OF A DESIRED CONSTANT GROUP SIZE FROM EACH PERMUTATION. THE ROUTINE ALSO READS A SEQUENCE OF INTEGERS CONGRUENT (MOD t), FOR SOME INTEGER t, TO A SEQUENCE OF SETS OF FIVE (NOT NECESSARILY DISTINCT) INTEGERS CHOSEN FROM AN INPUT FILE. THESE INTEGERS ARE USED AS INDEXES TO FILTER VARIOUS SELECTED COMBINATIONS OF ELEMENTS OR SUBSEQUENCES FROM THE INITIAL SET OF PNUM PERMUTATION SEQUENCES. PNUM MAY RANGE BETWEEN 1 AND 100, THE MAXIMUM VALUE OF K0 IS 6, AND THE MAXIMUM VALUE OF L0 IS 81. EACH GENERATED SUBSEQUENCE OF PERMUTATIONS IS INTERSECTED WITH THE SUCCESSOR OF A SELECTED K0- ELEMENT STAR EVENT AND THE OCCURRING COMMON ELEMENTS ARE NOTED. STAT429 IS A VARIANT OF STAT408, WITH A SEQUENCE OF VARYING INITIAL INDEXES AND CONSTANT GROUP SIZES INPUT IN REAL TIME. OVERLAPPING GROUPS SERVE AS MORE JUDICIOUS COVERINGS OF INITIAL PERMUTATIONS. STAT429 IS AN HYBRID OF STAT422 AND STAT427, READING A FILTERING SEQUENCE OF INDEXES (MOD t) FROM STAT422.INP AND USING THEM TO GENERATE HIGHLY PROBABLE SUBSEQUENCES FROM THER PERMUTATION SETS. STAT429 IS A STREAMLINED VERSION OF STAT428, GENERATING ONE-HALF THE NUMBER OF EVENTS. ============================================================================== -- L 430 -- READS THE NUMBER OF EVENTS SINCE LAST OCCURRENCE (NESLO) OF EACH OF L0 ELEMENTS, AS WELL AS, THE NUMBER OF TIMES EACH ELEMENT HAS OCCURRED AFTER SKIPPING A SPECIFIED NUMBER OF EVENTS, AND RANKS THE ELEMENTS IN DESCENDING ORDER OF NUMBER OCCURRENCES AFTER SKIPPING NESLO EVENTS. ELEMENTS ARE FILTERED WHICH LIE WITHIN A DESIRED RANGE, BASED UPON THE LEXICOGRAPHIC RANKING OF NUMBER OCCURRENCES AFTER SKIPPING NESLO EVENTS. MOREOVER, STAT430 ALSO READS A SEQUENCE OF IMAX K0-ELEMENT STAR EVENTS, AND A SEQUENCE OF KMAX K0-ELEMENT TEST EVENTS, DETERMINING ELEMENTS IN COMMON BETWEEN THE SUCCESSOR OF A DESIRED STAR EVENT AD THE SET OF TEST EVENTS. IT ALSO DETERMINES THE WEIGHT OF EACH TEST EVENT AND RANKS THE SEQUENCE OF TEST EVENTS IN DESCENDING ORDER BY WEIGHT, WHERE THE WEIGHT OF AN EVENT IS THE SUM OF THE NUMBER OF TIMES EACH OF ITS K0 RESPECTIVE ELEMENTS HAS OCCURRED AFTER SKIPPING THE CURRENT NUMBER OF SKIPPED EVENTS UP TO EVENT NUMBER JMAX, SELECTED BY THE ANALYST. THE REQUIRED INPUT FILES FOR STAT430 ARE: STAT190.OT0 (UNIT 3) ; STAT64.OUT (UNIT 7); STAT430.INP (UNIT 9); AND, BASE.INP (UNIT 5). STAT430 IS A VARIANT AND EMBELLISHMENT OF STAT292, ADDING THE CAPABILITY OF FILTERING UP TO 600 TEST EVENTS BY WEIGHT SUMS. ============================================================================== -- L 431 -- READS A SEQUENCE OF IMAX STAR EVENTS ON THE SET < 1, ... , L0 > AND A SEQUENCE OF KMAX K0-ELEMENT TEST EVENTS AND DETERMINES A SEQUENCE OF HOMOGENEOUS NEW TEST EVENTS FROM EVERY POSSIBLE PAIR OF THE INITIAL TEST EVENTS, BY ADDING ARBITRARY INTEGERS TO RANDOM ELEMENTS FROM EACH PAIR OF EVENTS. THE SEQUENCE OF GENERATED TEST EVENTS IS INTERSECTED WITH THE SUCCESSOR OF A DESIRED FINAL STAR EVENT AND COMMON ELEMENTS ARE INDICATED FOR EACH TEST EVENT IN THE SEQUENCE. STAT431 PROCESSES UP TO 600 STAR EVENTS AND 600 INITIAL TEST EVENTS. ============================================================================== -- L 432 -- READS THE NUMBER OF EVENTS SINCE LAST OCCURRENCE (NESLO) OF EACH OF L0 ELEMENTS, AS WELL AS, THE NUMBER OF TIMES EACH ELEMENT HAS OCCURRED AFTER SKIPPING A SPECIFIED NUMBER OF EVENTS, AND RANKS THE ELEMENTS IN DESCENDING ORDER OF NUMBER OCCURRENCES AFTER SKIPPING NESLO EVENTS. ELEMENTS ARE FILTERED WHICH LIE WITHIN A DESIRED RANGE, BASED UPON THE LEXICOGRAPHIC RANKING OF NUMBER OCCURRENCES AFTER SKIPPING NESLO EVENTS. MOREOVER, STAT432 ALSO READS A SEQUENCE OF IMAX K0-ELEMENT STAR EVENTS, AND A SEQUENCE OF KMAX K0-ELEMENT TEST EVENTS, DETERMINING ELEMENTS IN COMMON BETWEEN THE SUCCESSOR OF A DESIRED STAR EVENT AD THE SET OF TEST EVENTS. IT ALSO DETERMINES THE WEIGHT OF EACH TEST EVENT AND RANKS THE SEQUENCE OF TEST EVENTS IN DESCENDING ORDER BY WEIGHT, WHERE THE WEIGHT OF AN EVENT IS THE SUM OF THE NUMBER OF TIMES EACH OF ITS K0 RESPECTIVE ELEMENTS HAS OCCURRED AFTER SKIPPING THE CURRENT NUMBER OF SKIPPED EVENTS UP TO EVENT NUMBER JMAX, SELECTED BY THE ANALYST. THE REQUIRED INPUT FILES FOR STAT432 ARE: STAT55.OT4 (UNIT 3) ; STAT64.OUT (UNIT 7); STAT432.INP (UNIT 9); AND, BASE.INP (UNIT 5). STAT432 IS A VARIANT STREAMLINE OF STAT430, ADDING THE CAPABILITY OF FILTERING UP TO 600 TEST EVENTS BY MEANS OF WEIGHT SUMS AND ANALYZING UP TO 300 STAR EVENTS. HOWEVER, HOMOGENENOUS TEST EVENTS ARE NOT GENERATED. INITIAL TEST EVENTS ARE ASSUMED TO BE IN LEXICOGRAPHIC ORDER. EVENTS ARE NOT ASSUMED TO BE IN LEXICOGRAPHIC ORDER, HOWEVER. ============================================================================== -- L 433 -- READS A SEQUENCE OF TEST EVENTS AND ADDS OR SUBTRACTS DESIRED INTEGERS FROM SELECTED ELEMENTS, WITH THE POSITION OF EACH CHOSEN ELEMENT DETERMINED BY INTEGERS CONGRUENT (MOD t), FOR SOME t , TO AN INTEGER CHOSEN BY THE ANALYST. THE ROUTINE ALSO READS A SEQUENCE OF STAR EVENTS AND INTERSECTS THE SUCCESSOR OF DESIRED EVENT JMAX WITH EACH NEWLY GENERATED PERMUTATION SET. STAT433 IS A VARIANT OF STAT256, WITH TEST EVENTS REPLACING PERMUTATIONS. ============================================================================== -- L 434 -- READS A SEQUENCE OF IMAX K0-ELEMENT STAR EVENTS OVER ELEMENTS OF THE SET B = < 1, 2, .... , L0 > AND DETERMINES, FOR EACH ELEMENT M OF B, THE SET OF ALL ELEMENTS OF B WHICH HAVE NOT OCCURRED IN THE SAME EVENT WITH M OVER THE LAST IBACK STAR EVENTS, BACKING UP FROM A SELECTED FINAL STAR EVENT. THIS GENERATES A SEQUENCE OF L0 PERMUTATION SETS, EACH OF WHICH IS INTERSECTED WITH THE WITH THE SUCCESSOR OF THE FINAL SELECTED STAR EVENT, NUMBER JMAX, AND COMMON ELEMENTS ARE DETERMINED, IF JMAX < IMAX. ============================================================================== -- L 435 -- READS A SEQUENCE, , OF KMAX K0-ELEMENT TEST EVENTS AND A SECOND SEQUENCE, , OF IMAX K0-ELEMENT STAR EVENTS, AND GENERATES A NEW SEQUENCE OF 4*(KMAX CHOOSE 2)+KMAX TEST EVENTS BY TAKING SELECTED K0- ELEMENT EVENTS FROM ALL POSSIBLE PAIRS OF EVENTS FROM THE INITIAL TEST SEQUENCE. THE EXECUTION PROCESSES UP TO 100 EVENTS FROM THE INPUT SEQUENCE, , AND 600 EVENTS FROM STAR SEQUENCE, . THE ROUTINE DETERMINES THE NUMBER OF ELEMENTS IN COMMON BETWEEN THE EVENT SUCCEEDING A SELECTED STAR EVENT (IF IT EXISTS) AND EACH OF THE NEW TEST EVENTS. MOREOVER, THE NUMBER AND PERCENTAGE OF 0's , 1's, 2's, ... , K0's ARE COMPUTED AS CARDINALITIES OF INTERSECTION NUMBERS BETWEEN TEST EVENTS AND THE SUCCESSIVE EVENT TO THE SELECTED STAR EVENT. A CONFIGURATION MATRIX IS GENERATED WHICH INDICATES THE ELEMENTS IN COMMON BETWEEN TEST EVENTS AND THE SUCCESSIVE STAR THE ROUTINE ALSO FILTERS THOSE GENERATED EVENTS WHOSE INDEXES MATCH A DESIRED SEQUENCE OF INTEGERS (MOD K) , WHERE K IS A DESIRED INTEGER. ============================================================================== -- L 436 -- READS A SEQUENCE OF KMAX K1-ELEMENT EVENTS AND A SEQUENCE OF LMAX K2-ELEMENT EVENTS ON ELEMENTS IN THE SET <1, 2, .... , L0 >, GENERATING AND PRINTING ALL POSSIBLE KMAX * LMAX (K1+K2)-ELEMENT BIPARTITE EVENTS RESULTING FROM THE PAIRWISE CONCATENATION OF EVENTS FROM EACH BLOCK OF TEST EVENTS, WHERE K1 AND K2 EQUAL EITHER 2 OR 3. READS A SEQUENCE OF IMAX STAR EVENTS ON K0 ELEMENTS AND DETERMINES THE NUMBER OF ELEMENTS COMMON TO A FINAL CHOSEN EVENT FROM THE STAR SEQUENCE AND EACH EVENT OF THE GENERATED SEQUENCE OF TEST EVENTS. THE NUMBER AND PERCENTAGE OF 0's, 1's, 2's, 3's, ... , 5's, AND/OR 6's IN COMMON BETWEEN THE FINAL CHOSEN STAR EVENT AND EACH OF THE KMAX * LMAX (K1+K2)-ELEMENT GENERATED BIPARTITE EVENTS IS ALSO DETERMINED. ============================================================================== -- L 437 -- READS A SEQUENCE OF IMAX STAR EVENTS ON K0 ELEMENTS, DETERMINES THE DIFFERENCES BETWEEN CORRESPONDING ELEMENTS IN K0 COLUMNS OF OF SELECTED EVENT JMAX AND EACH EVENT OF THE INITIAL STAR SEQUENCE, SELECTS AND FILTERS THOSE STAR EVENTS FOR WHICH THE NUMBER OF DIFFERENCES BETWEEN CORRESPONDING PAIRS OF ELEMENTS LIES WITHIN ARBITRARILY CHOSEN CONSTANT BOUNDS. MOREOVER, A SEQUENCE OF UP TO 600 EVENTS IMMEDIATELY SUCCEEDING EACH OF THE SELECTED STAR EVENTS IS SELECTED AND FILTERED FOR FURTHER ANALYSIS. THIS VERSION IS FOR K0 = 5, ONLY. SEE STAT438 FOR K0 = 6. THIS ROUTINE IS A VARIANT AND EMBELLISHMENT OF STAT325B, WHERE THE UNION OF ELEMENTS FROM STAR AND SUCCESSOR BLOCKS, RATHER THAN INDEXES (MOD N), ARE USED TO GENRATE HIGH-PROBABILITY TEST EVENTS. THE NUMBER AND PERCENTAGE OF COMMON ELEMENTS BETWEEN STAR EVENT JMAX+1 AND EACH GENERATED TEST EVENT ARE DETERMINED. ============================================================================== -- L 438 -- READS A SEQUENCE OF IMAX STAR EVENTS ON K0 ELEMENTS, DETERMINES THE DIFFERENCES BETWEEN CORRESPONDING ELEMENTS IN K0 COLUMNS OF OF SELECTED EVENT JMAX AND EACH EVENT OF THE INITIAL STAR SEQUENCE, SELECTS AND FILTERS THOSE STAR EVENTS FOR WHICH THE NUMBER OF DIFFERENCES BETWEEN CORRESPONDING PAIRS OF ELEMENTS LIES WITHIN ARBITRARILY CHOSEN CONSTANT BOUNDS. MOREOVER, A SEQUENCE OF UP TO 600 EVENTS IMMEDIATELY SUCCEEDING EACH OF THE SELECTED STAR EVENTS IS SELECTED AND FILTERED FOR FURTHER ANALYSIS. THIS VERSION IS FOR K0 = 6, ONLY. SEE STAT437 FOR K0 = 5. THIS ROUTINE IS A VARIANT AND EMBELLISHMENT OF STAT325, WHERE THE UNION OF ELEMENTS FROM STAR AND SUCCESSOR BLOCKS, RATHER THAN INDEXES (MOD N), ARE USED TO GENRATE HIGH-PROBABILITY TEST EVENTS. THE NUMBER AND PERCENTAGE OF COMMON ELEMENTS BETWEEN STAR EVENT JMAX+1 AND EACH GENERATED TEST EVENT ARE DETERMINED. ============================================================================== -- L 439 -- READS A SEQUENCE OF IMAX STAR EVENTS ON K0 ELEMENTS, A SEQUENCE OF PNUM PERMUTATIONS ON ELEMENTS IN THE SET < 1, 2, 3, ... , L0 > , AND A DESIRED STAR EVENT NUMBER, JMAX, WHOSE SUCCESSOR EVENT IS INTERSECTED WITH A PERMUTATION GENERATED FROM THE UNION OF THE PNUM INITIAL PERMUTATIONS IN THE SEQUENCE TO DETERMINE ELEMENTS IN COMMON. THE GENERATED PERMUTATION DETERMINES A UNIQUE BLOCK OF ELEMENTS, WITH COMBINATIONS OF K0-ELEMENT EVENTS FROM EACH PAIR OF EVENTS IN EACH BLOCK DETERMINED AS HIGH PROBABILITY EVENTS. THE NUMBER AND PERCENTAGE OF COMMON ELEMENTS BETWEEN GENERATED EVENTS AND THE SUCCESSOR OF STAR EVENT JMAX ARE DETERMINED. THIS VERSION IS FOR K0 = 5, ONLY. SEE STAT440 FOR K0 = 6. THIS ROUTINE IS A VARIANT OF STAT437, WHERE SELECTED PERMUTATIONS, RATHER THAN STAR EVENTS, ARE USED TO GENERATE HIGH-PROBABILITY TEST EVENTS. THE NUMBER AND PERCENTAGE OF COMMON ELEMENTS BETWEEN STAR EVENT JMAX+1 AND EACH GENERATED TEST EVENT ARE DETERMINED. ============================================================================== -- L 440 -- READS A SEQUENCE OF IMAX STAR EVENTS ON K0 ELEMENTS, A SEQUENCE OF PNUM PERMUTATIONS ON ELEMENTS IN THE SET < 1, 2, 3, ... , L0 > , AND A DESIRED STAR EVENT NUMBER, JMAX, WHOSE SUCCESSOR EVENT IS INTERSECTED WITH PERMUTATION GENERATED FROM THE UNION OF THE PNUM INITIAL PERMUTATIONS IN THE SEQUENCE TO DETERMINE ELEMENTS IN COMMON. THE GENERATED PERMUTATION DETERMINES A UNIQUE BLOCK OF ELEMENTS, WITH COMBINATIONS OF K0-ELEMENT EVENTS FROM EACH PAIR OF EVENTS IN EACH BLOCK DETERMINED AS HIGH PROBABILITY EVENTS. THE NUMBER AND PERCENTAGE OF COMMON ELEMENTS BETWEEN GENERATED EVENTS AND THE SUCCESSOR OF STAR EVENT JMAX ARE DETERMINED. THIS VERSION IS FOR K0 = 6, ONLY. SEE STAT439 FOR K0 = 5. THIS ROUTINE IS A VARIANT OF STAT437, WHERE SELECTED PERMUTATIONS, RATHER THAN STAR EVENTS, ARE USED TO GENERATE HIGH-PROBABILITY TEST EVENTS. THE NUMBER AND PERCENTAGE OF COMMON ELEMENTS BETWEEN STAR EVENT JMAX+1 AND EACH GENERATED TEST EVENT ARE DETERMINED. ============================================================================== -- L 441 -- READS A SEQUENCE OF IMAX STAR EVENTS ON K0 ELEMENTS, A SEQUENCE OF BMAX K0-ELEMENT TEST EVENTS ON ELEMENTS IN THE SET < 1, ... , L0 >, AND A DESIRED STAR EVENT NUMBER, JMAX, WHOSE SUCCESSOR EVENT IS INTERSECTED WITH PERMUTATION GENERATED FROM THE UNION OF THE LMAX INITIAL TEST EVENTS IN THE SEQUENCE TO DETERMINE ELEMENTS IN COMMON. THE GENERATED PERMUTATION DETERMINES A UNIQUE BLOCK OF ELEMENTS, WITH COMBINATIONS OF K0-ELEMENT EVENTS FROM EACH PAIR OF EVENTS IN EACH BLOCK DETERMINED AS HIGH PROBABILITY EVENTS. THE NUMBER AND PERCENTAGE OF COMMON ELEMENTS BETWEEN GENERATED EVENTS AND THE SUCCESSOR OF STAR EVENT JMAX ARE DETERMINED. THIS VERSION IS FOR K0 = 5, ONLY. SEE STAT442 FOR K0 = 6. THIS ROUTINE IS A VARIANT OF STAT439, WHERE SELECTED TEST EVENTS, RATHER THAN PERMUTATIONS, ARE USED TO GENERATE HIGH-PROBABILITY TEST EVENTS. THE NUMBER AND PERCENTAGE OF COMMON ELEMENTS BETWEEN STAR EVENT JMAX+1 AND EACH GENERATED TEST EVENT ARE DETERMINED. ============================================================================== -- L 442 -- READS A SEQUENCE OF IMAX STAR EVENTS ON K0 ELEMENTS, A SEQUENCE OF BMAX K0-ELEMENT TEST EVENTS ON ELEMENTS IN THE SET < 1, ... , L0 >, AND A DESIRED STAR EVENT NUMBER, JMAX, WHOSE SUCCESSOR EVENT IS INTERSECTED WITH PERMUTATION GENERATED FROM THE UNION OF THE LMAX INITIAL TEST EVENTS IN THE SEQUENCE TO DETERMINE ELEMENTS IN COMMON. THE GENERATED PERMUTATION DETERMINES A UNIQUE BLOCK OF ELEMENTS, WITH COMBINATIONS OF K0-ELEMENT EVENTS FROM EACH PAIR OF EVENTS IN EACH BLOCK DETERMINED AS HIGH PROBABILITY EVENTS. THE NUMBER AND PERCENTAGE OF COMMON ELEMENTS BETWEEN GENERATED EVENTS AND THE SUCCESSOR OF STAR EVENT JMAX ARE DETERMINED. THIS VERSION IS FOR K0 = 6, ONLY. SEE STAT441 FOR K0 = 5. THIS ROUTINE IS A VARIANT OF STAT440, WHERE SELECTED TEST EVENTS, RATHER THAN PERMUTATIONS, ARE USED TO GENERATE HIGH-PROBABILITY TEST EVENTS. THE NUMBER AND PERCENTAGE OF COMMON ELEMENTS BETWEEN STAR EVENT JMAX+1 AND EACH GENERATED TEST EVENT ARE DETERMINED. ============================================================================== -- L 443 -- READS A SEQUENCE OF KMAX K0-ELEMENT EVENTS AND A SEQUENCE OF IMAX K0-ELEMENT STAR EVENTS ON ELEMENTS IN < 1, 2, .... , L0 >, GENERATING AND PRINTING VARIOUS KMAX * KMAX K0-ELEMENT BIPARTITE TEST EVENTS RESULTING FROM THE PAIRWISE CONCATENATION OF K1-ELEMENT AND K2-ELEMENT SUBSETS FROM EACH EVENT. THE ROUTINE ALSO DETERMINES THE NUMBER OF ELEMENTS COMMON TO A FINAL CHOSEN EVENT FROM THE STAR SEQUENCE AND EACH EVENT OF THE GENERATED SEQUENCE OF TEST EVENTS. THE NUMBER AND PERCENTAGE OF 0's, 1's, 2's, 3's, ... , 5's, AND/OR 6's IN COMMON BETWEEN THE FINAL CHOSEN STAR EVENT AND EACH OF THE KMAX * KMAX K0-ELEMENT GENERATED BIPARTITE EVENTS IS ALSO DETERMINED. THIS PROCESS IS CYCLICALLY REPEATED A DESIRED NUMBER OF TIMES FOR VARYING COMBINATIONS OF COLUMN NUMBERS PER INITIAL EVENT. STAT443 IS A VARIANT OF STAT436, WHERE THE INPUT EVENTS ARE READ FROM ONE FILE, STAT443.INP, RATHER THAN A PAIR OF FILES. ============================================================================== -- L 444 -- READS A SEQUENCE OF KMAX K0-ELEMENT EVENTS AND A SEQUENCE OF IMAX K0-ELEMENT STAR EVENTS ON ELEMENTS IN < 1, 2, .... , L0 >, GENERATING A SEQUENCE OF TEST EVENTS DETERMINED FROM SEQUENTIAL PAIRS OR SINGLES OF ELEMENTS FROM EVERY TRIPLE OF EVENTS IN THE INITIAL SEQUENCE. THIS PROCESS IS REPEATED IN THE OPPOSITE DIRECTION. THE NUMBER OF ELEMENTS COMMON TO A FINAL CHOSEN EVENT FROM THE STAR SEQUENCE AND EACH EVENT OF THE GENERATED SEQUENCE OF TEST EVENTS IS ALSO DETERMINED. THE PROCESS IS PERFORMED FOR K0 = 5 OR 6 AND KMAX MUST HAVE A VALUE OF AT LEAST THREE AT EXECUTION TIME. THE NUMBER AND PERCENTAGE OF 0's, 1's, 2's, 3's, ... , 5's, AND/OR 6's IN COMMON BETWEEN THE FINAL CHOSEN STAR EVENT AND EACH OF THE NMAX K0-ELEMENT GENERATED EVENTS IS ALSO DETERMINED OVER JMAX EVENTS. THIS PROCESS IS CYCLICALLY REPEATED A DESIRED NUMBER OF TIMES FOR VARYING COMBINATIONS OF COLUMN NUMBERS PER INITIAL EVENT. STAT444 IS A VARIANT OF STAT443, WHERE THE INPUT EVENTS ARE READ FROM FILE, STAT444.INP. ============================================================================== -- L 445 -- READS A SEQUENCE OF IMAX STAR EVENTS ON K0 ELEMENTS AND A FIXED BLOCK OF DMAX TEST EVENTS OF SIZE K0 AND DETERMINES HOMOGENEOUS SEQUENCES OF EVENTS FROM THE INITIAL SEQUENCE. THIS ROUTINE IS A VARIANT AND EMBELLISHMENT OF STAT437, WHERE TEST EVENTS ARE GENERATED FROM A FIXED BLOCK OF EVENTS IN STAT445.INP, RATHER THAN A SELECTED SEQUENCE OF STAR EVENTS. HOWEVER, THE NUMBER AND PERCENTAGE OF COMMON ELEMENTS BETWEEN STAR EVENT JMAX+1 AND EACH GENERATED TEST EVENT ARE DETERMINED. THIS VERSION IS FOR K0 = 5, ONLY. SEE STAT446 FOR THE CASE K0 = 6. ============================================================================== -- L 446 -- READS A SEQUENCE OF MMAX K0-ELEMENT STAR EVENTS ON ELEMENTS FROM THE SET < 1, 2, ... , L0 > AND GENERATES A SEQUENCE OF K0 x NN - DIMENSIONAL BLOCKS OF ELEMENTS FOR ANALYSIS IN STAT415, ETC. WHERE NN IS A DESIRED NUMBER OF COLUMNS ( 1 < NN < K0+1 ) SELECTED BY THE ANALYST. A SEQUENCE OF IMAX STAR EVENTS IS READ AND THE ANALYST IS QUERIED FOR A DESIRED EVENT NUMBER WHOSE SUCCESSOR IS INTERSECTED WITH EACH GENERATED TEST BLOCK FOR WHICH COMMON ELEMENTS ARE IDENTIFIED. EACH EXECUTION PROCESSES UP TO 600 STAR EVENTS. STAT446 IS A VARIANT OF STAT447, WITH STAR EVENTS IN BASE.INP, RATHER THAN TEST EVENTS, BEING USED TO GENERATE THE TEST BLOCKS. ============================================================================== -- L 447 -- READS A SEQUENCE OF MMAX K0-ELEMENT STAR EVENTS AND A SEQUENCE OF KMAX K0-ELEMENT TEST EVENTS FROM THE SET < 1, 2, ... , L0 >, AND GENERATES A SEQUENCE OF K0 x NN - DIMENSIONAL BLOCKS OF ELEMENTS FOR ANALYSIS IN STAT415, ETC., WHERE NN IS A DESIRED NUMBER OF COLUMNS ( 1 < NN < K0+1 ) SELECTED BY THE ANALYST. A SEQUENCE OF IMAX STAR EVENTS IS READ AND THE ANALYST IS QUERIED FOR A DESIRED EVENT WHICH IS INTERSECTED WITH EACH GENERATED TEST BLOCK, FOR WHICH COMMON ELEMENTS ARE IDENTIFIED. EACH EXECUTION PROCESSES UP TO 600 STAR EVENTS AND 600 INITIAL TEST EVENTS. STAT447 IS A VARIANT OF STAT446, WITH TEST EVENTS IN STAT447.INP, RATHER THAN STAR EVENTS, BEING USED TO GENERATE THE TEST BLOCKS. ============================================================================== -- L 448 -- READS A SEQUENCE OF K0 BASE SETS OF VARIABLE SIZES N1,N2, ... , NK0 AND GENERATES A SEQUENCE OF EVENTS CONSISTING OF K0 ELEMENTS, WITH 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. THE ROUTINE PROCESSES UP TO 10 INITIAL STAR EVENTS AND GENERATES UP TO 100 TEST EVENTS. A SEQUENCE OF MMAX STAR EVENTS IS READ AND THE ANALYST IS QUERIED FOR A DESIRED EVENT NUMBER WHOSE SUCCESSOR IS INTERSECTED WITH EACH GENERATED TEST EVENT FOR WHICH COMMON ELEMENTS AND THEIR CARDINALITIES ARE IDENTIFIED. THIS ROUTINE IS A VARIANT OF STAT368, READING A SEQUENCE OF INPUT SETS OF K0 ROWS OF ELEMENTS AND GENERATING A SEQUENCE OF NEW TEST EVENTS FOR EACH BLOCK OF INPUT SETS OF K0 ROWS OF ELEMENTS. THE ANALYST IS QUERIED FOR THE NUMBER OF INPUT SETS TO BE READ FROM STAT448.INP. (TO BE USED IN CONJUNCTION WITH STAT408). FOR K0 = 5, MAXIMUM BASE SET SIZE IS 5. FOR K0 = 6, MAXIMUM BASE SET SIZE IS 4. ============================================================================== -- L 449 -- READS A BLOCK OF IMAX J0-ELEMENT EVENTS AND A SEQUENCE OF MMAX K0-ELEMENT PERMUTATIONS ON THE SET < 1, 2, ... , IMAX >, THE ELEMENTS OF WHICH SERVE AS INDEXES FOR SELECTING BLOCKS OF K0 J0-ELEMENT ROWS FROM THE IMAX ROWS OF THE INITIAL BLOCK. THE INPUT BLOCKS CAN BE GENERATED FROM STAT408. THE GENERATED OUTPUT BLOCKS, SUBSEQUENTLY USED AS INPUT FOR STAT448, ARE DESIGNED TO YIELD MAXIMAL INTERSECTIONS WITH K0-ELEMENT STAR EVENTS IN STAT448 OR OTHER EXTERNAL PROGRAMS. ============================================================================== -- L 450 -- READS A SEQUENCE OF LMAX K0-ELEMENT TEST EVENTS AND A SEQUENCE OF IMAX K0-ELEMENT STAR EVENTS, FILTERING THE TEST EVENTS BY WAY OF A DESIRED PIVOTAL COLUMN j IN WHICH THE (i+1)-st ELEMENT IS DISTINCT FROM THE i-th ELEMENT IN COLUMN j FOR EACH i = 1 , 2, ... , LMAX-1. UP TO 100 TEST EVENTS. THE ANALYST IS ALSO QUERIED FOR A DESIRED FINAL STAR EVENT RANGE WHOSE SUCCESSORS ARE INTERSECTED WITH EACH FILTERED TEST EVENT FOR WHICH COMMON ELEMENTS AND THEIR CARDINALITIES ARE IDENTIFIED. MAXIMUM VALUES OF LMAX AND IMAX ARE BOTH 600. THE FILTERING CRITERION ALLOWS FOR THE GENERATION OF A HOMOGENEOUS SEQUENCE OF TEST EVENTS TO BE USED IN AN EXTERNAL ROUTINE, SUCH AS STAT335. THE MAXIMUM NUMBER OF EVENTS PER FILE IS 600. STAT450 IS A VARIANT OF STAT204. ============================================================================== -- L 451 -- READS A SEQUENCE OF PNUM PERMUTATIONS ON THE ELEMENTS IN THE SET < 1, 2, ... , L0 > AND A SET OF PERMUTATIONS ON THE SET < 1, 2, ... , K0 >, THE ELEMENTS OF WHICH SERVE AS INDEXES FOR SELECTING BLOCKS OF K0 3-ELEMENT ROWS INDUCED FROM EACH OF THE PNUM PERMUTATIONS IN THE INITIAL SEQUENCE. THE GENERATED OUTPUT BLOCKS, SUBSEQUENTLY USED AS INPUT FOR STAT448, ARE DESIGNED TO YIELD MAXIMAL INTERSECTIONS WITH K0-ELEMENT STAR EVENTS IN STAT448 OR OTHER EXTERNAL PROGRAMS. STAT451 IS A VARIANT OF STAT449. ============================================================================== -- L 452 -- READS A K0 x J0 - DIMENSIONAL BLOCK OF ELEMENTS ON < 1, 2, ... , L0 > AND A SEQUENCE OF KMAX ROW VECTORS, CONSISTING OF SELECTED ELEMENTS IN A SEQUENCE OF FIVE (NOT NECESSARILY DISTINCT) INTEGERS CHOSEN (MOD t) , FOR SOME INTEGER t , AND DETERMINING THOSE ELEMENTS IN THE INITIAL BLOCK TO BE TRANSLATED BY A DESIRED VALUE, ALPHA, CHOSEN BY THE ANALYST. MOREOVER, A SEQUENCE OF STAR EVENTS IS READ, THE SUCCESSORS OF A SELECTED RANGE OF STAR EVENTS ARE INTERSECTED WITH EACH GENERATED PERMUTATION SUBSEQUENCE AND COMMON ELEMENTS ARE INDICATED. THE ROUTINE IS CYCLICAL AND IS AN EMBELLISHED VARIANT OF STAT301. ============================================================================== -- L 453 -- READS A SEQUENCE OF LMAX K0-ELEMENT TEST EVENTS AND A SEQUENCE OF IMAX K0-ELEMENT STAR EVENTS, GENERATING A NEW SET OF TEST EVENTS FROM K0 COLUMN AVERAGES BASED UPON PIVOTS IN A SELECTED COLUMN. A DESIRED PIVOTAL COLUMN j IN WHICH THE (i+1)-st ELEMENT IS DISTINCT FROM THE i-th ELEMENT IN COLUMN j FOR EACH i = 1 , 2, ... , LMAX-1 AND j = 1, 2, ... , K0 IS SELECTED BY THE ANALYST TO GENERATE THE NEW TEST EVENTS. THE ANALYST IS ALSO QUERIED FOR A DESIRED FINAL STAR EVENT RANGE WHOSE SUCCESSORS ARE INTERSECTED WITH EACH FILTERED TEST EVENT FOR WHICH COMMON ELEMENTS AND THEIR CARDINALITIES ARE IDENTIFIED. MAXIMUM VALUES OF LMAX AND IMAX ARE BOTH 600. THE FILTERING CRITERION ALLOWS FOR THE GENERATION OF A HOMOGENEOUS SEQUENCE OF TEST EVENTS TO BE USED IN AN EXTERNAL ROUTINE, SUCH AS STAT335. THE MAXIMUM NUMBER OF EVENTS PER FILE IS 600. STAT453 IS A VARIANT OF STAT450. (USEFUL FOR GENERATING WHEELING SYSTEMS). ============================================================================== -- L 454 -- READS A SEQUENCE OF IMAX K0-ELEMENT STAR EVENTS AND A SECOND SEQUENCE, , OF JMAX K0-ELEMENT TEST EVENTS AND GENERATES A NEW SEQUENCE OF TEST EVENTS FROM A SEQUENCE OF VECTORS CONSISTING OF DESIRED ELEMENTS (MOD N) FOR DESIRED INTEGRAL VALUES OF N. THOSE ELEMENTS IN THE EVENTS OF THE INITIAL TEST SEQUENCE WHICH ARE CONGRUENT (MOD N) TO SELECTED VECTOR ELEMENTS ARE TRANSLATED BY A DESIRED TRANSLATION FACTOR TIMES (-1)**(I+J) WHERE I IS THE ROW NUMBER AND J IS THE COLUMN NUMBER OF THE ELEMENT IN AN EVENT SATISFYING THIS CRITERION. STAT454 DETERMINES THE NUMBER OF ELEMENTS IN COMMON BETWEEN THE EVENT SUCCEEDING A SELECTED STAR EVENT (IF IT EXISTS) AND EACH OF THE LMAX TEST EVENTS. MOREOVER, THE NUMBER AND PERCENTAGE OF 0's , 1's, 2's, ... , K0's ARE COMPUTED AS CARDINALITIES OF INTERSECTION NUMBERS BETWEEN TEST EVENTS AND THE SUCCESSIVE EVENT TO THE SELECTED STAR EVENT FOR UP TO 400 STAR EVENTS AND 400 TEST EVENTS. A CONFIGURATION MATRIX IS GENERATED WHICH INDICATES THE ELEMENTS IN COMMON BETWEEN TEST EVENTS AND THE SUCCESSIVE STAR EVENT. THE ROUTINE ALSO FILTERS THOSE GENERATED EVENTS WHOSE INDEXES MATCH THE LAST GENERATED SEQUENCE OF INTEGERS (MOD K) , WHERE K IS CHOSEN ON THE LAST CYCLE. STAT454 IS A VARIANT OF STAT335. ============================================================================== -- L 455 -- READS A SEQUENCE OF IMAX K0-ELEMENT STAR EVENTS AND A SEQUENCE, , OF JMAX K0-ELEMENT TEST EVENTS, A FILE CONTAINING A SEQUENCE OF LMAX VECTORS OF INTEGERS (MOD Ki) FOR SOME INTEGERS Ki, i = 1, 2, ... , N AND A SEQUENCE OF TRANSLATION INTEGERS Mi, i = 1, 2, ... , N , SUBMITTED BY THE ANALYST, DETERMINING A NEWLY GENERATED SEQUENCE OF TEST EVENTS FOR FURTHER ANALYSIS AS IN STAT453. THOSE ELEMENTS IN THE EVENTS OF THE INITIAL TEST SEQUENCE WHICH ARE CONGRUENT (MOD N) TO SELECTED VECTOR ELEMENTS ARE TRANSLATED BY A DESIRED TRANSLATION FACTOR TIMES (-1)**(I+J) WHERE I IS THE ROW NUMBER AND J IS THE COLUMN NUMBER OF THE ELEMENT IN AN EVENT SATISFYING THIS CRITERION. STAT455 DETERMINES THE NUMBER OF ELEMENTS IN COMMON BETWEEN THE EVENT SUCCEEDING A SELECTED STAR EVENT (IF IT EXISTS) AND EACH OF THE LMAX TEST EVENTS. MOREOVER, THE NUMBER AND PERCENTAGE OF 0's , 1's, 2's, ... , K0's ARE COMPUTED AS CARDINALITIES OF INTERSECTION NUMBERS BETWEEN TEST EVENTS AND THE SUCCESSIVE EVENT TO THE SELECTED STAR EVENT FOR UP TO 200 STAR EVENTS AND 400 TEST EVENTS. A CONFIGURATION MATRIX IS GENERATED WHICH INDICATES THE ELEMENTS IN COMMON BETWEEN TEST EVENTS AND THE SUCCESSIVE STAR EVENT. THE ROUTINE ALSO FILTERS THOSE GENERATED EVENTS WHOSE INDEXES MATCH THE LAST GENERATED SEQUENCE OF INTEGERS (MOD K) , WHERE K IS CHOSEN ON THE LAST CYCLE. STAT455 IS A VARIANT OF STAT454. ============================================================================== -- L 456 -- READS A SEQUENCE OF QMAX K0-ELEMENT TEST EVENTS, A SEQUENCE OF PMAX K0-ELEMENT INCREMENTS, AND A SEQUENCE OF IMAX K0-ELEMENT STAR EVENTS AND GENERATES A SEQUENCE OF LMAX TEST EVENTS WHICH ARE BASED UPON QUASI-LINEAR COMBINATIONS OR COSETS OF ELEMENTS FROM THE FIRST TWO SEQUENCES, WITH COEFFICIENTS COMING FROM THE SECOND SEQUENCE. THE ANALYST IS ALSO QUERIED FOR A DESIRED FINAL STAR EVENT RANGE WHOSE SUCCESSORS ARE INTERSECTED WITH EACH FILTERED TEST EVENT FOR WHICH COMMON ELEMENTS AND THEIR CARDINALITIES ARE IDENTIFIED. MAXIMUM VALUES OF IMAX, LMAX, PMAX AND QMAX ARE 600. THE FILTERING CRITERION ALLOWS FOR THE GENERATION OF A HOMOGENEOUS SEQUENCE OF TEST EVENTS TO BE USED IN AN EXTERNAL ROUTINE, SUCH AS STAT335. STAT456 PROCESSES UP TO 200 STAR EVENTS AND UP TO 600 INITIAL TEST EVENTS. ============================================================================== -- L 457 -- READS A SEQUENCE OF EVENTS AND DETERMINES A SYMMETRIC "COMPANION MATRIX" OF FREQUENCIES OF PAIRS OF ELEMENTS (i.e., A MATRIX OF THE NUMBER OF TIMES EACH PAIR OF ELEMENTS OCCURS TOGETHER IN AN EVENT PER GIVEN SEQUENCE OF EVENTS) AND PRINTS TABLES OF PAIRS OF ELEMENTS OCCURRING A SPECIFIED NUMBER OF TIMES. THERE MAY EXIST UP TO 200 EVENTS IN THE INITIAL INPUT SEQUENCE. STAT457 IS A VARIANT OF STAT106, BUT PRINTS THE ACTUAL VALUES OF ELEMENTS, RATHER THAN THEIR ABSOLUTE VALUES. ============================================================================== -- L 458 -- READS A SEQUENCE OF INTEGERS (POSITIVE, NEGATIVE, OR ZERO) WHICH ARE NOT NECESSARILY DISTINCT, DETERMINES AND PRINTS A LIST OF OCCURRING ELEMENTS EXACTLY ONCE. STAT458 IS A VARIANT OF STAT253 AND STAT247, BUT IS NOT RESTRICTED TO POSITIVE INTEGERS. RESULTS ARE GENERATED AS K0-ELEMENT EVENTS FOR FURTHER APPLICATIONS. ============================================================================== -- L 459 -- READS A SEQUENCE OF TMAX TEST EVENTS ON M0 ELEMENTS AND A SEQUENCE OF PMAX PERMUTATIONS ON K0 ELEMENTS, GENERATING A NEW SEQUENCE OF TMAX * PMAX TEST EVENTS BY SELECTING A SEQUENCE OF K0 COLUMNS FROM EACH EVENT OF THE FIRST SEQUENCE. COLUMN SELECTIONS ARE DETERMINED BY ENTRIES OF EACH OF THE PMAX PERMUTATIONS. STAT459 ALSO READS A SEQUENCE OF IMAX STAR EVENTS AND INTERSECTS THE SUCCESSOR OF A DESIRED FINAL STAR EVENT WITH EACH NEW GENERATED K0-ELEMENT TEST EVENT AND THE NUMBER AND PERCENTAGE OF COMMON ELEMENTS IS INDICATED. THE MAXIMIM NUMBER OF ELEMENTS PER EVENT IN STAT459.INP IS 20 AND THE MAXIMUM NUMBER OF EVENTS PER INPUT FILE IS 300. A MAXIMUM OF 1000 TEST EVENTS MAY BE GENERATED. ============================================================================== -- L 460 -- READS A SEQUENCE OF TMAX TEST EVENTS ON J0 ELEMENTS AND A SEQUENCE OF PMAX PERMUTATIONS ON M0 ELEMENTS, GENERATING A NEW SEQUENCE OF PMAX TEST EVENTS BY SELECTING A UNION OF M0 ROWS FROM THE INITIAL TMAX TEST EVENTS FOR EACH OF THE M0-ELEMENT PERMUTATIONS IN THE INITIAL PMAX PERMUTATIONS IN STAT460.IN2. STAT460 ALSO READS A SEQUENCE OF IMAX STAR EVENTS AND INTERSECTS THE SUCCESSOR OF A DESIRED FINAL STAR EVENT WITH EACH NEW GENERATED J0*M0-ELEMENT TEST EVENT AND THE NUMBER AND PERCENTAGE OF COMMON ELEMENTS IS INDICATED. THE MAXIMIM NUMBER OF ELEMENTS PER EVENT IN STAT460.INP IS 20 AND THE MAXIMUM NUMBER OF EVENTS PER INPUT FILE IS 300. A MAXIMUM OF 800 TEST EVENTS MAY BE GENERATED. STAT460 IS A VARIANT OF STAT459, BUT ROWS, RATHER THAN COLUMN ELEMENTS SERVE AS THE GENERATING CRITERION. THE ROUTINE FACILITATES THE GENERATION OF ALL UNIONS OF M0 ROWS FROM THE INITIAL ARRAY OF TEST EVENTS. ============================================================================== -- L 461 -- READS A SEQUENCE OF TMAX TEST EVENTS ON J0 ELEMENTS IN ONE INTEGER FORMAT AND GENERATES A NEW SEQUENCE OF TMAX TEST EVENTS ON J0 ELEMENTS IN A DIFFERENT SELECTED FORMAT FROM : I2, I3, I4, I5, OR I6. THE ANALYST IS QUERIED FOR THE CURRENT INPUT FORMAT AS ONE OF : I2, I3, I4, I5, OR I6 AND A DESIRED DIFFERENT FORMAT FROM THE SAME SELECTIONS. ============================================================================== -- L 462 -- READS A SEQUENCE OF PMAX PERMUTATIONS ON M0 ELEMENTS, GENERATING A NEW SEQUENCE OF PMAX BASE EVENTS BY THE SELECTION OF A UNION OF 5 DESIRED SUBINTERVALS FROM EACH PERMUTATION OF THE INITIAL SEQUENCE IN INPUT FILE PERM.INP. STAT462 ALSO READS A SEQUENCE OF IMAX STAR EVENTS AND INTERSECTS THE SUCCESSOR OF A DESIRED FINAL STAR EVENT WITH EACH NEW GENERATED M0-ELEMENT BASE EVENT AND THE NUMBER AND PERCENTAGE OF COMMON ELEMENTS IS INDICATED. THE MAXIMUM NUMBER OF ELEMENTS PER EVENT IN PERM.INP IS 51 AND THE MAXIMUM NUMBER OF EVENTS PER INPUT FILE IS 100. A MAXIMUM OF 100 BASE EVENTS MAY BE GENERATED. STAT462 IS A VARIANT OF STAT460, BUT A FIXED SEQUENCE OF PERMUTATIONS IS READ AND THE SEQUENCE OF GENERATED PERMUTATIONS CONSISTS OF A UNION OF DISCRETE SUBINTERVALS. ============================================================================== -- L 463 -- READS A SEQUENCE OF PMAX PERMUTATIONS ON M0 ELEMENTS, GENERATING A NEW SEQUENCE OF PMAX BASE EVENTS BY THE SELECTION OF DESIRED SEQUENCE OF INTEGERS (MOD k) FOR SOME DESIRED INTEGER k AS A FILTERING MECHANISM ON FILE PERM.INP. STAT463 ALSO READS A SEQUENCE OF IMAX STAR EVENTS AND INTERSECTS THE SUCCESSOR OF A DESIRED FINAL STAR EVENT WITH EACH NEW GENERATED M0-ELEMENT BASE EVENT AND THE NUMBER AND PERCENTAGE OF COMMON ELEMENTS IS INDICATED. THE MAXIMUM NUMBER OF ELEMENTS PER INPUT BASE EVENT IS 51, WHEREAS, THE MAXIMUM NUMBER OF EVENTS PER INPUT FILE IS 100. A MAXIMUM OF 100 BASE EVENTS MAY BE GENERATED. STAT463 IS A VARIANT OF STAT462, BUT A DESIRED FIXED SEQUENCE OF INTEGERS (MOD k) FOR SOME DESIRED INTEGER k, RATHER THAN A UNION OF SUBINTERVALS OF INTEGERS, IS USED TO GENERATE SEQUENCES OF BASE EVENTS. ============================================================================== -- L 464 -- READS A SEQUENCE, , OF JMAX K0-ELEMENT TEST EVENTS, A SEQUENCE OF IMAX K0-ELEMENT STAR EVENTS, AND GENERATES A NEW SEQUENCE OF TEST EVENTS WITH ELEMENTS HAVING INDEXES OF ODD PARITY FROM ONE EVENT AND EVEN PARITY FROM EVERY OTHER EVENT FOR EVERY POSSIBLE PAIR OF EVENTS FROM THE INITIAL TEST SEQUENCE. THE EXECUTION PROCESSES UP TO 1000 TEST EVENTS FROM THE INPUT SEQUENCE, , AND 600 STAR EVENTS. THE ROUTINE DETERMINES THE NUMBER OF ELEMENTS IN COMMON BETWEEN THE EVENT SUCCEEDING A SELECTED STAR EVENT (IF IT EXISTS) AND EACH OF THE LMAX TEST EVENTS. MOREOVER, THE NUMBER AND PERCENTAGE OF 0's , 1's, 2's, ... , K0's ARE COMPUTED AS CARDINALITIES OF INTERSECTION NUMBERS BETWEEN TEST EVENTS AND THE SUCCESSIVE EVENT OF THE SELECTED STAR EVENT FOR UP TO 600 STAR EVENTS AND 1000 TEST EVENTS. A CONFIGURATION MATRIX IS GENERATED WHICH INDICATES THE ELEMENTS IN COMMON BETWEEN TEST EVENTS AND THE SUCCESSIVE STAR EVENT. ============================================================================== -- L 465 -- READS A SEQUENCE, , OF JMAX K0-ELEMENT TEST EVENTS, A SEQUENCE OF IMAX K0-ELEMENT STAR EVENTS, AND GENERATES A NEW SEQUENCE OF TEST EVENTS WITH ELEMENTS HAVING INDEXES OF ODD PARITY FROM ONE EVENT AND EVEN PARITY FROM EVERY OTHER EVENT FOR EVERY POSSIBLE PAIR OF EVENTS FROM THE INITIAL TEST SEQUENCE. THE EXECUTION PROCESSES UP TO 600 TEST EVENTS FROM THE INPUT SEQUENCE, , AND 600 STAR EVENTS. THE ROUTINE DETERMINES THE NUMBER OF ELEMENTS IN COMMON BETWEEN THE EVENT SUCCEEDING A SELECTED STAR EVENT (IF IT EXISTS) AND EACH OF THE LMAX TEST EVENTS. MOREOVER, THE NUMBER AND PERCENTAGE OF 0's , 1's, 2's, ... , K0's ARE COMPUTED AS CARDINALITIES OF INTERSECTION NUMBERS BETWEEN TEST EVENTS AND THE SUCCESSIVE EVENT OF THE SELECTED STAR EVENT FOR UP TO 600 STAR EVENTS AND 600 TEST EVENTS. A CONFIGURATION MATRIX IS GENERATED WHICH INDICATES THE ELEMENTS IN COMMON BETWEEN TEST EVENTS AND THE SUCCESSIVE STAR EVENT. STAT465 IS AN HYBRID OF STAT464, GENERATING UP TO 1000 NEW TEST EVENTS, RATHER THAN 600. ============================================================================== -- L 466 -- READS A SEQUENCE OF JMAX K0-ELEMENT TEST EVENTS AND A SEQUENCE OF L0 COMPUTED FREQUENCIES OF ELEMENTS < 1, 2, .... , L0 > wrt THE NUMBER OF TIMES EACH ELEMENT HAS OCCURRED AFTER SKIPPING THE CURRENT NUMBER OF ELAPSED EVENTS (DETERMINED FROM STAT292) AND FILTERS THE TOP K DESIRED TEST EVENTS IN DESCENDING SIZES OF SUMS OF THE OBSERVED FREQUENCIES READ FROM THE INPUT FILE STAT466.IN2. STAT466 IS A VARIANT OF STAT292. AN EXECUTION PROCESSES UP TO 1000 TEST EVENTS FROM THE INPUT SEQUENCE, , AND 400 STAR EVENTS. THE ROUTINE DETERMINES THE NUMBER OF ELEMENTS IN COMMON BETWEEN THE EVENT SUCCEEDING A SELECTED STAR EVENT (IF IT EXISTS) AND EACH OF THE LMAX TEST EVENTS. MOREOVER, THE NUMBER AND PERCENTAGE OF 0's , 1's, 2's, ... , K0's ARE COMPUTED AS CARDINALITIES OF INTERSECTION NUMBERS BETWEEN TEST EVENTS AND THE SUCCESSIVE EVENT OF THE SELECTED STAR EVENT FOR UP TO 400 STAR EVENTS AND 1000 TEST EVENTS. A CONFIGURATION MATRIX IS GENERATED WHICH INDICATES THE ELEMENTS IN COMMON BETWEEN TEST EVENTS AND THE SUCCESSIVE STAR EVENT. ============================================================================== -- L 467 -- MONITOR MATRIX GENERATOR IX FREQUENCY COUNTS FOR ELEMENTS IN A PERMUTATION SET COMPARES A SET OF K0-ELEMENT BLOCKS WITH A FINITE BASE SET OF ELEMENTS, DETERMINES THE NUMBER OF ELEMENTS IN EACH BLOCK IN COMMON WITH EACH BASE SET, AND DETERMINES THE BEST K PERMUTATION SETS FROM AN INITIAL SEQUENCE OF UP TO 100 PERMUTATION SETS OF ELEMENTS. STAT467 READS A SEQUENCE OF L0 COMPUTED FREQUENCIES OF ELEMENTS FROM THE SET < 1, 2, .... , L0 > wrt THE NUMBER OF TIMES AN ELEMENT HAS OCCURRED SINCE SKIPPING K EVENTS (DETERMINED FROM STAT292) AND FILTERS THE TOP K DESIRED PERMUTATION SETS FROM THE INITIAL SEQUENCE, IN DESCENDING SIZES OF SUMS OF THE OBSERVED FREQUENCIES. A DESIRED STAR EVENT IS SELECTED AND INTERSECTED WITH EACH PERMUTATION SET, AND A MONITOR MATRIX IS GENERATED GENERATED AS AN OUTPUT FILE REFLECTING THE PATTERNS OF HITS FROM THE ABOVE SEQUENCE OF BASE SETS. PERMUTATION SETS ARE RANKED AND PRINTED IN DESCENDING ORDER OF INTERSECTION PERFORMANCE IN PERM.OUT. STAT467 IS A VARIANT OF STAT468, WITH FREQUENCIES EXPRESSED AS THE NUMBER OF TIMES AN ELEMENT HAS OCCURRED AFTER SKIPPING K EVENTS INSTEAD OF THE NUMBER OF EVENTS SINCE IT LAST OCCURRED. STAT467 IS AN HYBRID OF STAT2 AND STAT466. ============================================================================== -- L 468 -- MONITOR MATRIX GENERATOR X FREQUENCY COUNTS FOR ELEMENTS IN A PERMUTATION SET COMPARES A SET OF K0-ELEMENT BLOCKS WITH A FINITE BASE SET OF ELEMENTS, DETERMINES THE NUMBER OF ELEMENTS IN EACH BLOCK IN COMMON WITH EACH BASE SET, AND DETERMINES THE BEST K PERMUTATION SETS FROM AN INITIAL SEQUENCE OF UP TO 100 PERMUTATION SETS OF ELEMENTS. STAT468 READS A SEQUENCE OF L0 COMPUTED FRQUENCIES OF ELEMENTS FROM THE SET < 1, 2, .... , L0 > wrt THE NUMBER OF ELAPSED EVENTS SINCE THE LAST OCCURRENCE (NESLO) PER ELEMENT (DETERMINED FROM STAT292) AND FILTERS THE TOP K DESIRED PERMUTATION SETS FROM THE INITIAL SEQUENCE, IN ASCENDING SIZES OF SUMS OF THE OBSERVED FREQUENCIES. A DESIRED STAR EVENT IS SELECTED AND INTERSECTED WITH EACH PERMUTATION SET, AND A MONITOR MATRIX IS GENERATED WHICH REFLECTS THE PATTERNS OF HITS FROM THE ABOVE SEQUENCE OF BASE SETS. PERMUTATION SETS ARE RANKED AND PRINTED IN DESCENDING ORDER OF INTERSECTION PERFORMANCE IN PERM.OUT. STAT468 IS A VARIANT OF STAT467, WITH FREQUENCIES EXPRESSED AS NESLO INSTEAD OF THE NUMBER OF THE NUMBER OF TIMES AN ELEMENT HAS OCCURRED AFTER SKIPPING K EVENTS. ============================================================================== -- L 469 -- READS A SEQUENCE OF JMAX K0-ELEMENT TEST EVENTS AND A SEQUENCE OF L0 COMPUTED FREQUENCIES OF ELEMENTS FROM < 1, 2, .... , L0 > wrt THE NUMBER OF ELAPSED EVENTS SINCE THE LAST OCCURRENCE OF EACH GIVEN ELEMENT FROM < 1, 2, ... , L0 >, (NESLO, DETERMINED FROM STAT292) FILTERS THE TOP K DESIRED TEST EVENTS IN ASCENDING SIZES OF SUMS OF THE OBSERVED FREQUENCIES. STAT469 IS A VARIANT OF STAT466. IN EXAMINING AND COMPARING EVENTS, AN EXECUTION PROCESSES UP TO 1000 TEST EVENTS FROM THE INPUT SEQUENCE, , AND 400 STAR EVENTS. THE ROUTINE DETERMINES THE NUMBER OF ELEMENTS IN COMMON BETWEEN THE EVENT SUCCEEDING A SELECTED STAR EVENT (IF IT EXISTS) AND EACH OF THE LMAX TEST EVENTS. MOREOVER, THE NUMBER AND PERCENTAGE OF 0's , 1's, 2's, ... , K0's ARE COMPUTED AS CARDINALITIES OF INTERSECTION NUMBERS BETWEEN TEST EVENTS AND THE SUCCESSIVE EVENT OF THE SELECTED STAR EVENT FOR UP TO 400 STAR EVENTS AND 1000 TEST EVENTS. A CONFIGURATION MATRIX IS GENERATED WHICH INDICATES THE ELEMENTS IN COMMON BETWEEN TEST EVENTS AND THE SUCCESSIVE STAR EVENT. ============================================================================== -- L 470 -- DETERMINES AND PRINTS (AS A GENERALIZATION OF STAT190) : 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. (ANALYZES UP TO 50 BASE EVENTS AND 200 TEST EVENTS PER RUN. STAT470 IS A GENERALIZATION OF STAT190, WHERE THE NUMBER OF BACK-UP EVENTS DETERMINING LONGSHOTS IS VARIABLE, RATHER THAN 11). ============================================================================== -- L 471 -- READS A SEQUENCE, , OF JMAX K0-ELEMENT TEST EVENTS, A SEQUENCE OF IMAX K0-ELEMENT STAR EVENTS, AND GENERATES A NEW SEQUENCE OF TEST EVENTS WITH ELEMENTS HAVING INDEXES OF ALL POSSIBLE PARITIES, CHOOSING THREE ELEMENTS FROM EACH EVENT FOR EVERY POSSIBLE PAIR OF EVENTS FROM THE INITIAL TEST SEQUENCE. THE EXECUTION PROCESSES UP TO 10 TEST EVENTS FROM THE INPUT SEQUENCE, , AND 400 STAR EVENTS. THE ROUTINE DETERMINES THE NUMBER OF ELEMENTS IN COMMON BETWEEN THE EVENT SUCCEEDING A SELECTED STAR EVENT (IF IT EXISTS) AND EACH OF THE LMAX TEST EVENTS. MOREOVER, THE NUMBER AND PERCENTAGE OF 0's , 1's, 2's, ... , K0's ARE COMPUTED AS CARDINALITIES OF INTERSECTION NUMBERS BETWEEN TEST EVENTS AND THE SUCCESSIVE EVENT OF THE SELECTED STAR EVENT FOR UP TO 400 STAR EVENTS AND 10 TEST EVENTS. A CONFIGURATION MATRIX IS GENERATED WHICH INDICATES THE ELEMENTS IN COMMON BETWEEN TEST EVENTS AND THE SUCCESSIVE STAR EVENT. STAT471 IS AN HYBRID OF STAT465. MOREOVER, STAT471 HANDLES ONLY THE CASE WHEN K0 = 6. SEE STAT472 FOR THE CASE WHEN K0 = 5. ALSO, STAT471 IS DESIGNED FOR SMALL NUMBERS OF HIGH-PROBABILITY EVENTS (E.G., 4 EVENTS) IN INPUT FILE STAT471.INP. FOR EACH PAIR OF INPUT EVENTS, EVERY TRIPLET OF ELEMENTS ONE EVENT IS PAIRED WITH EVERY TRIPLET OF ELEMENTS FROM THE OTHER EVENT TO GENERATE 400 NEW TEST EVENTS. ============================================================================== -- L 472 -- READS A SEQUENCE, , OF JMAX K0-ELEMENT TEST EVENTS, A SEQUENCE OF IMAX K0-ELEMENT STAR EVENTS, AND GENERATES A NEW SEQUENCE OF TEST EVENTS WITH ELEMENTS HAVING INDEXES OF ALL POSSIBLE PARITIES, CHOOSING EITHER THREE OR TWO ELEMENTS FROM EVERY POSSIBLE PAIR OF EVENTS FROM THE INITIAL TEST SEQUENCE. THE EXECUTION PROCESSES UP TO 10 TEST EVENTS FROM THE INPUT SEQUENCE, , AND 400 STAR EVENTS. THE ROUTINE DETERMINES THE NUMBER OF ELEMENTS IN COMMON BETWEEN THE EVENT SUCCEEDING A SELECTED STAR EVENT (IF IT EXISTS) AND EACH OF THE LMAX TEST EVENTS. MOREOVER, THE NUMBER AND PERCENTAGE OF 0's , 1's, 2's, ... , K0's ARE COMPUTED AS CARDINALITIES OF INTERSECTION NUMBERS BETWEEN TEST EVENTS AND THE SUCCESSIVE EVENT OF THE SELECTED STAR EVENT FOR UP TO 400 STAR EVENTS AND 10 TEST EVENTS. A CONFIGURATION MATRIX IS GENERATED WHICH INDICATES THE ELEMENTS IN COMMON BETWEEN TEST EVENTS AND THE SUCCESSIVE STAR EVENT. STAT472 IS AN HYBRID OF STAT465. MOREOVER, STAT472 HANDLES ONLY THE CASE WHEN K0 = 5. SEE STAT471 FOR THE CASE WHEN K0 = 6. ALSO, STAT472 IS DESIGNED FOR SMALL NUMBERS OF HIGH-PROBABILITY EVENTS (E.G., 4 EVENTS) IN INPUT FILE STAT472.INP. FOR EACH PAIR OF INPUT EVENTS, EVERY TRIPLET OF ELEMENTS ONE EVENT IS PAIRED WITH EVERY PAIR OF ELEMENTS FROM THE OTHER EVENT TO GENERATE 200 NEW TEST EVENTS. ============================================================================== -- L 473 -- READS A LIST OF L0 ELEMENTS, TRANSLATES, AND PRINTS THEM (mod n). READS A BLOCK OF STAR EVENTS AND PRINTS THE ELEMENTS BOTH AS INTEGERS AND AS INTEGERS (mod n) FOR AN ARBITRARY n. STAT473 IS AN HYBRID OF STAT65. A SEQUENCE OF LMAX STAR EVENTS IS READ AND THE ELEMENTS OF EACH EVENT ARE TRANSLATED ACCORDING TO A DESIRED INTEGRAL VECTOR < M1, M2, M3, M4, M5 > ( MOD KK) , FOR SOME DESIRED INTEGER KK. THE ELEMENTS OF EACH STAR EVENT ARE ALSO TRANSLATED ACCORDING TO BEING LOW AND ODD (LO), HIGH AND ODD (HO), LOW AND EVEN (LE), OR HIGH AND EVEN (HE). IN EITHER CASE, A MATRIX IS GENERATED FOR CLASSIFYING STAR EVENTS ACCORDING TO EITHER CRITERION. ELEMENTS FROM < 1, 2, ... , L0 > ARE THEN FILTERED ACCORDING TO ONE OF THE ABOVE SELECTED CRITERIA AND PRINTED AS INPUT TO EITHER STAT471 OR STAT472. ============================================================================== -- L 474 -- READS A SEQUENCE OF JMAX K0-ELEMENT TEST EVENTS AND A SEQUENCE OF L0 COMPUTED FREQUENCIES OF ELEMENTS < 1, 2, .... , L0 > wrt THE NUMBER OF TIMES EACH ELEMENT HAS OCCURRED AFTER SKIPPING THE CURRENT NUMBER OF ELAPSED EVENTS (DETERMINED FROM STAT292) AND SORTS THE L0 BASE ELEMENTS IN DESCENDING ORDER BASED UPON THE NUMBER OF TIMES EACH ELEMENT HAS OCCURRED AFTER SKIPPING THE CURRENT NUMBER OF ELAPSED EVENTS. AN EXECUTION PROCESSES UP TO 800 STAR EVENTS. THE ROUTINE FLAGS THE ELEMENTS OF EACH EVENT IN A DESIRED RANGE OF STAR EVENT SUCCESSORS AS THEY OCCUR AMONG THE L0 SORTED BASE ELEMENTS. STAT474 IS A VARIANT OF STAT466, BUT DOES NOT FILTER TEST EVENTS. ============================================================================== -- L 475 -- READS A SEQUENCE OF JMAX K0-ELEMENT TEST EVENTS AND A SEQUENCE OF L0 COMPUTED FREQUENCIES OF ELEMENTS < 1, 2, .... , L0 > wrt THE NUMBER OF TIMES EACH ELEMENT HAS OCCURRED AFTER SKIPPING THE CURRENT NUMBER OF ELAPSED EVENTS (DETERMINED FROM STAT292) AND SORTS THE L0 BASE ELEMENTS IN ASCENDING ORDER BASED UPON THE NUMBER OF TIMES EACH ELEMENT HAS OCCURRED AFTER SKIPPING THE CURRENT NUMBER OF ELAPSED EVENTS. AN EXECUTION PROCESSES UP TO 800 STAR EVENTS. THE ROUTINE FLAGS THE ELEMENTS OF EACH EVENT IN A DESIRED RANGE OF STAR EVENT SUCCESSORS AS THEY OCCUR AMONG THE L0 SORTED BASE ELEMENTS. STAT475 IS A VARIANT OF STAT474, BUT SORTS ELEMENTS IN ASCENDING, RATHER THAN DESCENDING, ORDER. ============================================================================== -- L 476 -- READS A SEQUENCE OF PMAX INPUT TEST PERMUTATIONS EACH OF WHICH IS DEFINED ON A MAXIMUM OF L0 ELEMENTS AND GENERATES A NEW SEQUENCE OF PMAX PERMUTATIONS EACH OF WHICH IS DEFINED ON A NEW DESIRED MAXIMUM OF M0 ELEMENTS FOR SOME DESIRED INTEGER M0. THE DENSITY OF ELEMENTS IN THE INPUT SEQUENCE BLOCK RELATIVE TO L0 IS PRESERVED IN THE OUTPUT SEQUENCE BLOCK RELATIVE TO M0. STAT476.INP CONTAINS A MAXIMUM OF 100 INPUT SEQUENCES OF ELEMENTS. ============================================================================== -- L 477 -- READS A SET OF TWO PERMUTATIONS, P AND Q, ON PNUM AND QNUM ELEMENTS, RESPECTIVELY, USING EACH PERMUTATION TO GENERATE DESIRED BLOCKS OF EITHER SINGLE ELEMENTS, PAIRS, TRIPLES, QUADUPLES, OR QUINTUPLES OF OF ELEMENTS TO BE USED AS INPUT FILES IN STAT478. THE BLOCKS LIST ALL POSSIBLE SINGLES, PAIRS, TRIPLES, QUADRUPLES, OR QUINTUPLES SELECTED BY THE ANALYST FROM EACH OF THE INITIAL INPUT PERMUTATIONS. ============================================================================== -- L 478 -- READS A BLOCK OF BMAX EVENTS AND A BLOCK OF CMAX EVENTS, CONSISTING OF NCOLB AND NCOLC COLUMNS, RESPECTIVELY, GENERATED FROM STAT477, GENERATING A NEW SEQUENCE OF TEST EVENTS, CONSISTING OF EVERY ROW OF BLOCK 1 PAIRED WITH EVERY ROW OF BLOCK 2. HENCE, EACH GENERATED TEST EVENT CONSISTS OF NCOLB+NCOLC ELEMENTS FOR FURTHER ANALYSIS. STAT478 ALSO READS A SEQUENCE OF IMAX K0-ELEMENT STAR EVENTS AND INTERSECTS EACH EVENT IN A DESIRED RANGE OF STAR EVENTS WITH EACH GENERATED TEST EVENT. THE EXECUTION PROCESSES UP TO 300 TEST EVENTS FROM THE INPUT SEQUENCE, , AND 300 STAR EVENTS. THE ROUTINE DETERMINES THE NUMBER OF ELEMENTS IN COMMON BETWEEN THE EVENT SUCCEEDING A SELECTED STAR EVENT (IF IT EXISTS) AND EACH OF THE LMAX TEST EVENTS. MOREOVER, THE NUMBER AND PERCENTAGE OF 0's , 1's, 2's, ... , K0's ARE COMPUTED AS CARDINALITIES OF INTERSECTION NUMBERS BETWEEN TEST EVENTS AND THE SUCCESSIVE EVENT OF THE SELECTED STAR EVENT FOR UP TO 400 STAR EVENTS AND 888 TEST EVENTS. A CONFIGURATION MATRIX IS GENERATED WHICH INDICATES THE ELEMENTS IN COMMON BETWEEN TEST EVENTS AND THE SUCCESSIVE STAR EVENT. MOREOVER, THE GENERATED TEST EVENTS ARE FILTERED BY INDEXES ACCORDING TO CONGRUENCE WITH THE ELEMENTS OF A DESIRED VECTOR < M1,M2,M3,M4,M5 > ( MOD N ) , FOR SOME INTEGER N AND INTEGERS M1, .... , M5. ============================================================================== -- L 479 -- DETERMINES THE NUMBERS OCCURRING WITHIN THE LAST K EVENTS, WHERE K IS WITHIN ONE OF THE RANGES OR INTERVALS OF STAR EVENTS: (1,5), (6,10), (11,15), (16,20), (21,25) , OR (26,30), INCLUDING ENDPOINTS, PRINTING EACH OF L0 ELEMENTS (e.g., L0 = 51) EXACTLY ONCE. ALSO PRINTS OUT A SUMMARY OF FREQUENCIES OF TYPES ( A, B, C, D, E, and F ) IN STAT479.OT3 FOR APPENDAGE TO THE FILE TYPE30 OUTPUT. STAT479 IS A VARIANT OF STAT30, BUT EACH ELEMENT IS PRINTED WHENEVER IT OCCURS IN A GIVEN TYPE CLASS. OCCURRENCE OF AN ELEMENT IN A PRECEDING TYPE CLASS DOES NOT PRECLUDE IT IN A NEW CLASS. ============================================================================== -- L 480 -- DETERMINES THE NUMBERS OCCURRING WITHIN THE LAST K EVENTS, WHERE K IS WITHIN ONE OF THE RANGES OR INTERVALS OF STAR EVENTS: (P11,P12), (P21,P22), (P31,P32), P(41,P42), P(51,P52), AND P(61,P62) , INCLUDING ENDPOINTS, WHERE THESE ENTRIES ARE CHOSEN BY THE ANALYST. THESE RANGES REPRESENT CLASS TYPES ( A , B, C, D, E, AND F ) . STAT480 ALSO PRINTS A SUMMARY OF FREQUENCIES OF TYPES IN STAT480.OT3 FOR APPENDAGE TO THE FILE TYPE30 OUTPUT. STAT480 IS A GENERALIZED VARIANT OF STAT479 AND EACH ELEMENT IS PRINTED ONCE WHENEVER IT OCCURS IN A GIVEN TYPE CLASS. OCCURRENCE OF AN ELEMENT IN A PRECEDING TYPE CLASS DOES NOT PRECLUDE IT IN A NEW CLASS. ============================================================================== -- L 481 -- DETERMINES THE NUMBERS OCCURRING WITHIN THE LAST K EVENTS, WHERE K IS WITHIN ONE OF THE DISCRETE SUBSETS OF STAR EVENTS: P(1), P(2), P(3), ... , P(M) WITH P BEING A MEMBER OF SOME SEQUENCE OF PERMUTATIONS CHOSEN BY THE ANALYST. THE ANALYSIS IS PERFORMED OVER A DESIRED RANGE OF STAR EVENTS AS SELECTED IN REAL TIME BY THE ANALYST. THE DISCRETE SUBSETS ARE CLASS TYPES ( 1 , 2, 3, 4, ... , M ) . STAT481 ALSO PRINTS A SUMMARY OF FREQUENCIES OF TYPES IN STAT481.OT3 FOR APPENDAGE TO THE FILE TYPE30 OUTPUT. STAT481 IS A GENERALIZED VARIANT OF STAT480 AND EACH ELEMENT IS PRINTED ONCE WHENEVER IT OCCURS IN A GIVEN TYPE CLASS. OCCURRENCE OF AN ELEMENT IN A PRECEDING TYPE CLASS DOES NOT PRECLUDE IT IN A NEW CLASS. ============================================================================== -- L 482 -- READS A SEQUENCE OF PERMUTATIONS,

, DEFINED ON ELEMENTS AND GENERATES PMAX x K0 DIMENSIONAL BLOCKS OF EVENTS WHERE K0 AND PMAX ARE DETERMINED BY THE ANALYST. K0 CAN ASSUME EITHER THE VALUE 5 OR 6. MOREOVER, THE ROUTINE FILTERS THE GENERATED EVENTS, BY SELECTING ONLY THOSE 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). STAT482 IS A VARIANT OF STAT11, BUT AN ARBITRARY SET OF PERMUTATIONS SERVES AS SEEDS OR GENERATORS, RATHER THAN SEQUENTIAL INTEGERS. STAT482 DETERMINES THE NUMBER OF ELEMENTS IN COMMON BETWEEN THE EVENT SUCCEEDING A SELECTED STAR EVENT (IF IT EXISTS) AND EACH OF THE NEW TEST EVENTS. MOREOVER, THE NUMBER AND PERCENTAGE OF 0's , 1's, 2's, ... , K0's ARE COMPUTED AS CARDINALITIES OF INTERSECTION NUMBERS BETWEEN TEST EVENTS AND THE SUCCESSIVE EVENT TO THE SELECTED STAR EVENT. A CONFIGURATION MATRIX IS GENERATED WHICH INDICATES THE ELEMENTS IN COMMON BETWEEN TEST EVENTS AND A DESIRED RANGE OF SUCCESSIVE STAR EVENTS. STAT482 READS UP TO 400 INITIAL STAR EVENTS. ============================================================================== -- L 483 -- READS A SEQUENCE OF PERMUTATIONS,

, DEFINED ON ELEMENTS AND GENERATES PMAX x K0 DIMENSIONAL BLOCKS OF EVENTS WHERE K0 AND PMAX ARE DETERMINED BY THE ANALYST. K0 CAN ASSUME EITHER THE VALUE 5 OR 6. MOREOVER, THE ROUTINE FILTERS THE GENERATED EVENTS, BY SELECTING ONLY THOSE EVENTS FROM THE SEQUENCE WITH INDICES WHICH ARE CONGRUENT TO ELEMENTS OF A DESIRED CLASS OF SEQUENCES OF VECTORS, I.E., < M1, M2, M3, M4, ... , M10 > ( MOD T) , FOR SOME DESIRED INTEGER SEQUENCE T AND SOME DESIRED SEQUENCE OF POSITIVE INTEGERS M1, M2, M3, M4, M5, M6,M7, M8, M9, AND M10 (NOT NECESSARILY DISTINCT). STAT483 IS A VARIANT OF STAT482, BUT A SELECTED SET OF SEQUENCES OF INTEGERS (MOD ANOTHER SELECTED SEQUENCE OF INTEGERS) IS USED AS A FILTERING CRITERION ON THE INDICES OF TEST EVENTS IN STAT483.INP AND AN ARBITRARY SET OF PERMUTATIONS SERVES AS SEEDS OR GENERATORS. STAT483 DETERMINES THE NUMBER OF ELEMENTS IN COMMON BETWEEN THE EVENT SUCCEEDING A SELECTED STAR EVENT (IF IT EXISTS) AND EACH OF THE NEW TEST EVENTS. MOREOVER, THE NUMBER AND PERCENTAGE OF 0's , 1's, 2's, ... , K0's ARE COMPUTED AS CARDINALITIES OF INTERSECTION NUMBERS BETWEEN TEST EVENTS AND THE SUCCESSIVE EVENT TO THE SELECTED STAR EVENT. A CONFIGURATION MATRIX IS GENERATED WHICH INDICATES THE ELEMENTS IN COMMON BETWEEN TEST EVENTS AND A DESIRED RANGE OF SUCCESSIVE STAR EVENTS. STAT483 READS UP TO 400 INITIAL STAR EVENTS. FORMAT for STAT483.INP: (10(1X,I4),9X,I4) ============================================================================== -- L 484 -- READS A SEQUENCE OF PERMUTATIONS,

, DEFINED ON ELEMENTS AND GENERATES PMAX x K0 DIMENSIONAL BLOCKS OF PERMUTATIONS WHERE K0 AND PMAX ARE DETERMINED BY THE ANALYST. K0 CAN ASSUME EITHER THE VALUE 5 OR 6. MOREOVER, THE ROUTINE FILTERS THE GENERATED PERMUTATIONS, BY SELECTING ONLY THOSE PERMUTATIONS FROM THE SEQUENCE WITH INDICES WHICH ARE CONGRUENT TO ELEMENTS OF A DESIRED CLASS OF SEQUENCES OF VECTORS, I.E., < M1, M2, M3, M4, ... , M10 > ( MOD T) , FOR SOME DESIRED INTEGER SEQUENCE T AND SOME DESIRED SEQUENCE OF POSITIVE INTEGERS M1, M2, M3, M4, M5, M6,M7, M8, M9, AND M10 (NOT NECESSARILY DISTINCT). STAT484 IS A VARIANT OF STAT483, BUT A SELECTED SET OF SEQUENCES OF INTEGERS (MOD ANOTHER SELECTED SEQUENCE OF INTEGERS) IS USED AS A FILTERING CRITERION ON THE INDICES OF PERMUTATIONS IN STAT484.INP AND AN ARBITRARY SET OF PERMUTATIONS SERVES AS SEEDS OR GENERATORS. STAT484 DETERMINES THE NUMBER OF ELEMENTS IN COMMON BETWEEN THE EVENT SUCCEEDING A SELECTED STAR EVENT (IF IT EXISTS) AND EACH OF THE NEW PERMUTATIONS. MOREOVER, THE NUMBER AND PERCENTAGE OF 0's , 1's, 2's, ... , K0's ARE COMPUTED AS CARDINALITIES OF INTERSECTION NUMBERS BETWEEN PERMUTATIONS AND THE SUCCESSIVE EVENT TO THE SELECTED STAR EVENT. A CONFIGURATION MATRIX IS GENERATED WHICH INDICATES THE ELEMENTS IN COMMON BETWEEN PERMUTATIONS AND A DESIRED RANGE OF SUCCESSIVE STAR EVENTS. STAT484 READS UP TO 400 INITIAL STAR EVENTS. FORMAT for STAT484.INP: (10(1X,I4),9X,I4) ============================================================================== -- L 485 -- READS A SEQUENCE OF IMAX STAR EVENTS ON K0 ELEMENTS AND INTERSECTS A DESIRED Kth FINAL STAR EVENT WITH EACH OF THE PRECEDING KMAX STAR EVENTS, INDICATING THE OCCURRING COMMON ELEMENTS. THIS PROCESS IS REPEATED OVER A DESIRED RANGE OF SELECTED FINAL STAR EVENTS, BACKING UP A DESIRED NUMBER, KMAX, OF EVENTS FROM THE FINAL EVENT, WHERE IMAX RANGES BETWEEN 2 AND 900 EVENTS. ============================================================================== -- L 486 -- READS A SEQUENCE OF IMAX STAR EVENTS ON K0 ELEMENTS AND DETERMINES FOR A DESIRED FINAL CHOSEN EVENT, JMAX, OVER THE IMAX STAR EVENTS, A NEW SEQUENCE OF TEST EVENTS WHERE B(i,j) IS THE j-th ELEMENT OF THE ith ROW OF THE GENERATED TEST SEQUENCE, REPRESENTING THE PREDICTED ELEMENT IN COLUMN j WHICH WILL PRESERVE THE MEAN OF THE LAST (i-1) COLUMN j ELEMENTS, FOR i = 1,2,3, ... , JMAX OVER THE JMAX STAR EVENTS, FOR UP TO 400 STAR EVENTS. THE NUMBER OF ELEMENTS IN COMMON BETWEEN A FINAL CHOSEN EVENT FROM THE STAR SEQUENCE AND EACH EVENT OF THE GENERATED SEQUENCE OF TEST EVENTS IS ALSO DETERMINED. THOSE TEST EVENTS ARE IDENTIFIED WHICH HAVE ELEMENTS IN COMMON WITH THE FINAL STAR EVENT, EXCEEDING SOME DESIRED MINIMUM THRESHOLD. MOREOVER, THE ROUTINE FILTERS THE GENERATED EVENTS, BY SELECTING ONLY THOSE 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). STAT486 IS A VARIANT OF STAT201 AND STAT276, BUT COLUMN MEANS ARE READ FROM A SEQUENCE OF PERMUTATIONS IN STAT482.INP, RATHER THAN BEING COMPUTED COLUMNWISE. STAT486 ALSO DETERMINES THE NUMBER OF ELEMENTS IN COMMON BETWEEN THE EVENT SUCCEEDING A SELECTED STAR EVENT (IF IT EXISTS) AND EACH OF THE NEW TEST EVENTS. MOREOVER, THE NUMBER AND PERCENTAGE OF 0's , 1's, 2's, ... , K0's ARE COMPUTED AS DETERMINED CARDINALITIES OF INTERSECTION NUMBERS BETWEEN TEST EVENTS AND THE SUCCESSIVE EVENT TO THE SELECTED STAR EVENT. A CONFIGURATION MATRIX IS GENERATED WHICH INDICATES THE ELEMENTS IN COMMON BETWEEN TEST EVENTS AND A DESIRED RANGE OF SUCCESSIVE STAR EVENTS. STAT486 READS UP TO 400 INITIAL STAR EVENTS AND GENERATES UP TO 1000 TEST EVENTS AND ANALYSES EVENTS FOR EITHER K0 = 5 OR K0 = 6. ============================================================================== -- L 487 -- READS A SEQUENCE OF IMAX STAR EVENTS ON K0 ELEMENTS AND DETERMINES FOR A DESIRED FINAL CHOSEN EVENT, JMAX, OVER THE IMAX STAR EVENTS, A NEW SEQUENCE OF TEST EVENTS WHERE B(i,j) IS THE j-th ELEMENT OF THE ith ROW OF THE GENERATED TEST SEQUENCE, REPRESENTING THE PREDICTED ELEMENT IN COLUMN j WHICH WILL PRESERVE THE MEAN OF THE LAST (i-1) COLUMN j ELEMENTS, FOR i = 1,2,3, ... , JMAX OVER THE JMAX STAR EVENTS, FOR UP TO 400 STAR EVENTS. THE NUMBER OF ELEMENTS IN COMMON BETWEEN A FINAL CHOSEN EVENT FROM THE STAR SEQUENCE AND EACH EVENT OF THE GENERATED SEQUENCE OF TEST EVENTS IS ALSO DETERMINED. THOSE TEST EVENTS ARE IDENTIFIED WHICH HAVE ELEMENTS IN COMMON WITH THE FINAL STAR EVENT, EXCEEDING SOME DESIRED MINIMUM THRESHOLD. STAT487 IS A VARIANT OF STAT486, BUT TEST EVENTS ARE GENERATED AS FOLLOWS: THE MEAN OF EACH OF THE K0 COLUMNS FROM THE IMAX STAR EVENTS IS COMPUTED. THEN A SEQUENCE OF EVENTS IS GENERATED, BACKING UP A DESIRED NUMBER OF EVENTS FROM THE FINAL SELECTED STAR EVENT, EACH ELEMENT OF WHICH PRESERVES THE COLUMN MEAN OF THAT PARTICULAR COLUMN. STAT487 ALSO DETERMINES THE NUMBER OF ELEMENTS IN COMMON BETWEEN THE EVENT SUCCEEDING A SELECTED STAR EVENT (IF IT EXISTS) AND EACH OF THE NEW 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 INTERSECTION NUMBERS BETWEEN TEST EVENTS AND THE SUCCESSIVE EVENT TO THE SELECTED STAR EVENT. A CONFIGURATION MATRIX IS GENERATED WHICH INDICATES THE ELEMENTS IN COMMON BETWEEN TEST EVENTS AND A DESIRED RANGE OF SUCCESSIVE STAR EVENTS. STAT487 READS UP TO 400 INITIAL STAR EVENTS AND GENERATES UP TO 1000 TEST EVENTS AND ANALYSES EVENTS FOR EITHER K0 = 5 OR K0 = 6. ============================================================================== -- L 488 -- READS A SEQUENCE OF IMAX STAR EVENTS ON K0 ELEMENTS AND DETERMINES FOR A DESIRED FINAL CHOSEN EVENT, JMAX, OVER THE IMAX STAR EVENTS, A NEW SEQUENCE OF TEST EVENTS WHERE B(i,j) IS THE j-th ELEMENT OF THE ith ROW OF THE GENERATED TEST SEQUENCE, REPRESENTING THE PREDICTED ELEMENT IN COLUMN j WHICH WILL PRESERVE THE MEAN OF THE LAST (i-1) COLUMN j ELEMENTS, FOR i = 1,2,3, ... , JMAX OVER THE JMAX STAR EVENTS, FOR UP TO 400 STAR EVENTS. THE NUMBER OF ELEMENTS IN COMMON BETWEEN A FINAL CHOSEN EVENT FROM THE STAR SEQUENCE AND EACH EVENT OF THE GENERATED SEQUENCE OF TEST EVENTS IS ALSO DETERMINED. THOSE TEST EVENTS ARE IDENTIFIED WHICH HAVE ELEMENTS IN COMMON WITH THE FINAL STAR EVENT, EXCEEDING SOME DESIRED MINIMUM THRESHOLD. STAT488 IS A VARIANT OF STAT487, BUT TEST EVENTS ARE GENERATED AS FOLLOWS: THE MEAN OF EACH OF THE K0 COLUMNS FROM THE IMAX STAR EVENTS IS COMPUTED. THEN A SEQUENCE OF EVENTS IS GENERATED, BACKING UP A DESIRED NUMBER OF EVENTS FROM THE FINAL SELECTED STAR EVENT, EACH ELEMENT OF WHICH PRESERVES THE COLUMN MEAN (PLUS A DESIRED TRANSLATION PARAMETER SELECTED BY THE ANALYST) FOR THAT PARTICULAR COLUMN. STAT488 ALSO DETERMINES THE NUMBER OF ELEMENTS IN COMMON BETWEEN THE EVENT SUCCEEDING A SELECTED STAR EVENT (IF IT EXISTS) AND EACH OF THE NEW 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 INTERSECTION NUMBERS BETWEEN TEST EVENTS AND THE SUCCESSIVE EVENT TO THE SELECTED STAR EVENT. A CONFIGURATION MATRIX IS GENERATED WHICH INDICATES THE ELEMENTS IN COMMON BETWEEN TEST EVENTS AND A DESIRED RANGE OF SUCCESSIVE STAR EVENTS. STAT488 READS UP TO 400 INITIAL STAR EVENTS AND GENERATES UP TO 1000 TEST EVENTS AND ANALYSES EVENTS FOR EITHER K0 = 5 OR K0 = 6. TRANSLATION PARAMETERS FOR THE K0 COLUMNS OF STAR EVENTS RESIDE IN THE FILE STAT488.INP. ============================================================================== -- L 489 -- READS A SEQUENCE OF IMAX STAR EVENTS ON K0 ELEMENTS AND DETERMINES FOR A DESIRED FINAL CHOSEN EVENT, JMAX, OVER THE IMAX STAR EVENTS, A NEW SEQUENCE OF TEST EVENTS WHERE B(i,j) IS THE j-th ELEMENT OF THE ith ROW OF THE GENERATED TEST SEQUENCE, REPRESENTING THE PREDICTED ELEMENT IN COLUMN j WHICH WILL PRESERVE THE MEAN OF THE LAST (i-1) COLUMN j ELEMENTS, FOR i = 1,2,3, ... , JMAX OVER THE JMAX STAR EVENTS, FOR UP TO 400 STAR EVENTS. THE NUMBER OF ELEMENTS IN COMMON BETWEEN A FINAL CHOSEN EVENT FROM THE STAR SEQUENCE AND EACH EVENT OF THE GENERATED SEQUENCE OF TEST EVENTS IS ALSO DETERMINED. THOSE TEST EVENTS ARE IDENTIFIED WHICH HAVE ELEMENTS IN COMMON WITH THE FINAL STAR EVENT, EXCEEDING SOME DESIRED MINIMUM THRESHOLD. STAT489 IS A VARIANT OF STAT488, BUT CREATES INPUT FILE STAT486.INP. THE MEAN OF EACH OF THE K0 COLUMNS FROM THE IMAX STAR EVENTS IS COMPUTED. THEN A SEQUENCE OF EVENTS IS GENERATED, BACKING-UP A DESIRED NUMBER OF EVENTS FROM THE FINAL SELECTED STAR EVENT, EACH ELEMENT OF WHICH PRESERVES THE COLUMN MEAN (PLUS A DESIRED TRANSLATION PARAMETER SELECTED BY THE ANALYST) FOR THAT PARTICULAR COLUMN. THE MEANS FOR EACH OF THE K0 COLUMNS OF A SEQUENCE OF DESIRED BLOCKS OF VARYING SIZES FROM THE SET OF STAR EVENTS ARE ALSO DETERMINED AND THESE MEANS ARE USED AS PARAMETERS IN STAT486.INP. STAT489 ALSO DETERMINES THE NUMBER OF ELEMENTS IN COMMON BETWEEN THE STAR EVENT SUCCEEDING A SELECTED STAR EVENT (IF IT EXISTS) AND EACH OF THE NEW 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 INTERSECTION NUMBERS BETWEEN TEST EVENTS AND THE SUCCESSIVE EVENT TO THE SELECTED STAR EVENT. A CONFIGURATION MATRIX IS GENERATED WHICH INDICATES THE ELEMENTS IN COMMON BETWEEN TEST EVENTS AND A DESIRED RANGE OF SUCCESSIVE STAR EVENTS. STAT489 READS UP TO 400 INITIAL STAR EVENTS AND GENERATES UP TO 1000 TEST EVENTS AND ANALYSES EVENTS FOR EITHER K0 = 5 OR K0 = 6. TRANSLATION PARAMETERS FOR THE K0 COLUMNS OF STAR EVENTS RESIDE IN THE FILE STAT489.INP. ============================================================================== -- L 490 -- READS A SEQUENCE OF IMAX STAR EVENTS ON K0 ELEMENTS AND DETERMINES FOR A DESIRED FINAL CHOSEN EVENT, JMAX, OVER THE IMAX STAR EVENTS, A NEW SEQUENCE OF TEST EVENTS WHERE B(i,j) IS THE j-th ELEMENT OF THE ith ROW OF THE GENERATED TEST SEQUENCE, REPRESENTING THE PREDICTED ELEMENT IN COLUMN j WHICH WILL PRESERVE THE MEAN OF THE LAST (i-1) COLUMN j ELEMENTS, FOR i = 1,2,3, ... , JMAX OVER THE JMAX STAR EVENTS, FOR UP TO 400 STAR EVENTS. THE NUMBER OF ELEMENTS IN COMMON BETWEEN A FINAL CHOSEN EVENT FROM THE STAR SEQUENCE AND EACH EVENT OF THE GENERATED SEQUENCE OF TEST EVENTS IS ALSO DETERMINED. THOSE TEST EVENTS ARE IDENTIFIED WHICH HAVE ELEMENTS IN COMMON WITH THE FINAL STAR EVENT, EXCEEDING SOME DESIRED MINIMUM THRESHOLD. STAT490 IS A VARIANT OF STAT489, BUT CREATES INPUT FILE STAT486.INP. THE MEAN OF EACH OF THE K0 COLUMNS FROM THE IMAX STAR EVENTS IS COMPUTED. THEN A SEQUENCE OF EVENTS IS GENERATED, BACKING-UP A DESIRED NUMBER OF EVENTS FROM THE FINAL SELECTED STAR EVENT, EACH ELEMENT OF WHICH PRESERVES THE COLUMN MEAN (PLUS A DESIRED TRANSLATION PARAMETER SELECTED BY THE ANALYST) FOR THAT PARTICULAR COLUMN. THE MEANS FOR EACH OF THE K0 COLUMNS OF A SEQUENCE OF DESIRED BLOCKS OF VARYING SIZES FROM THE SET OF STAR EVENTS ARE ALSO DETERMINED AND THESE MEANS ARE USED AS PARAMETERS IN STAT486.INP. MOREOVER, STAT490 TACITLY PREDICTS THE PROJECTED ELEMENTS WHICH CORRESPOND TO EACH OF THE MEANS GENERATED FOR INPUT FILE STAT486.INP. STAT490 ALSO DETERMINES THE NUMBER OF ELEMENTS IN COMMON BETWEEN THE STAR EVENT SUCCEEDING A SELECTED STAR EVENT (IF IT EXISTS) AND EACH OF THE NEW 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 INTERSECTION NUMBERS BETWEEN TEST EVENTS AND THE SUCCESSIVE EVENT TO THE SELECTED STAR EVENT. A CONFIGURATION MATRIX IS GENERATED WHICH INDICATES THE ELEMENTS IN COMMON BETWEEN TEST EVENTS AND A DESIRED RANGE OF SUCCESSIVE STAR EVENTS. STAT490 READS UP TO 400 INITIAL STAR EVENTS AND GENERATES UP TO 1000 TEST EVENTS AND ANALYSES EVENTS FOR EITHER K0 = 5 OR K0 = 6. TRANSLATION PARAMETERS FOR THE K0 COLUMNS OF STAR EVENTS RESIDE IN THE FILE STAT490.INP. ============================================================================== -- L 491 -- READS A SEQUENCE OF PNUM PERMUTATIONS, AS WELL AS, A SEQUENCE OF L0 COMPUTED FREQUENCIES OF BASE ELEMENTS < 1, 2, .... , L0 > wrt THE NUMBER OF TIMES EACH ELEMENT HAS OCCURRED AFTER SKIPPING THE CURRENT NUMBER OF ELAPSED EVENTS (NESLO, DETERMINED FROM STAT292) AND SORTS PERMUTATION ELEMENTS IN DESCENDING ORDER, BASED UPON THE NUMBER OF TIMES EACH ELEMENT HAS OCCURRED AFTER SKIPPING THE CURRENT NUMBER OF ELAPSED EVENTS. AN EXECUTION PROCESSES UP TO 800 STAR EVENTS. THE ROUTINE FLAGS THE ELEMENTS OF A DESIRED RANGE OF STAR EVENT SUCCESSORS AS THEY OCCUR AMONG AMONG THE L0 SORTED BASE ELEMENTS AND AMONG THE ELEMENTS OF EACH PERMUTATION. EACH PERMUTATION IS TRUNCATED BY A DESIRED NUMBER OF ELEMENTS TO A CLASS OF SUBSEQUENCES OF PERMUTATIONS IN WHICH HIGHLY PROBABLE ELEMENTS OCCUR NEAR THE BEGINNING OF A NON-LEXICOGRAPHIC LISTING OF PERMUTATION ELEMENTS. STAT491 IS A VARIANT OF STAT474, BUT PERMUTATION ELEMENTS SERVE AS GENERATORS OF SUBSEQUENCES. ============================================================================== -- L 492 -- READS A SEQUENCE OF PERMUTATIONS, ELIMINATING ALL BUT ONE OF ANY REPETITIVE ELEMENTS, PRINTING A NEW SEQUENCE OF CORRESPONDING OUTPUT PERMUTATIONS. AN EXECUTION PROCESSES UP TO 800 STAR EVENTS. THE ROUTINE FLAGS THE ELEMENTS OF A DESIRED RANGE OF STAR EVENTS AS THEY OCCUR AMONG AMONG THE ELEMENTS OF EACH OUTPUT PERMUTATION. OUTPUT PERMUATIONS (PERM.OUT) MAY BE UTILIZED AS INPUT FOR FILE (PERM.INP) IN STAT491. 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 PERMUTATIONS AND EACH EVENT IN THE RANGE OF SELECTED STAR EVENTS. A CONFIGURATION MATRIX IS GENERATED WHICH INDICATES THE ELEMENTS IN COMMON BETWEEN PERMUTATIONS AND A DESIRED RANGE OF SUCCESSIVE STAR EVENTS. PRINTED PERMUTATIONS ARE RESTRICTED TO A DESIRED RANGE OF SIZES SELECTED BY THE ANALYST. ============================================================================== -- L 493 -- READS A SEQUENCE OF IMAX STAR EVENTS ON L0 ELEMENTS, A SEQUENCE OF LMAX INPUT EVENTS ON < 1, 2, 3, ... , L0 >, AND A SEQUENCE OF TRANSLATION PARAMETERS CONSISTING OF LMAX COLUMNS. EACH TRANSLATION PARAMETER IN A GIVEN COLUMN IS ADDED TO THE CORRESPONDING ROW OF AN EVENT IN THE SEQUENCE OF LMAX INPUT EVENTS TO GENERATE A NEW SEQUENCE OF TEST EVENTS FOR FURTHER ANALYSIS. THE NUMBER OF ELEMENTS IN COMMON BETWEEN A FINAL CHOSEN EVENT FROM THE STAR SEQUENCE AND EACH EVENT OF THE GENERATED SEQUENCE OF TEST EVENTS IS ALSO DETERMINED. THOSE TEST EVENTS ARE IDENTIFIED WHICH HAVE ELEMENTS IN COMMON WITH THE FINAL STAR EVENT, EXCEEDING SOME DESIRED MINIMUM THRESHOLD. STAT493 IS A VARIANT OF STAT488, BUT TEST EVENTS ARE GENERATED AS ABOVE. STAT493 ALSO DETERMINES THE NUMBER OF ELEMENTS IN COMMON BETWEEN THE EVENT SUCCEEDING A SELECTED STAR EVENT (IF IT EXISTS) AND EACH GENERATED SEQUENCE OF PERMUTATIONS. STAT493 READS UP TO 400 INITIAL STAR EVENTS AND GENERATES UP TO 300 TEST EVENTS. TRANSLATION PARAMETERS FOR THE INPUT EVENTS RESIDE IN FILE STAT493.IN2, WHEREAS, INPUT TEST EVENTS RESIDE IN THE FILE STAT493.INP. MOREOVER, STAT493 DETERMINES THE NUMBER OF ELEMENTS IN COMMON BETWEEN THE EVENT SUCCEEDING A SELECTED STAR EVENT (IF IT EXISTS) AND EACH OF THE NEW TEST EVENTS. 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 THE SUCCESSIVE EVENT TO THE SELECTED STAR EVENT. A CONFIGURATION MATRIX IS GENERATED WHICH INDICATES THE ELEMENTS IN COMMON BETWEEN TEST EVENTS AND A DESIRED RANGE OF SUCCESSIVE STAR EVENTS. STAT493 READS UP TO 400 INITIAL STAR EVENTS AND GENERATES UP TO 1000 TEST EVENTS. ============================================================================== -- L 494 -- READS A SEQUENCE OF IMAX STAR EVENTS ON L0 ELEMENTS, A SEQUENCE OF LMAX INPUT EVENTS ON < 1, 2, 3, ... , L0 >, AND A SEQUENCE OF TRANSLATION PARAMETERS CONSISTING OF LMAX COLUMNS. EACH TRANSLATION PARAMETER IN A GIVEN COLUMN IS ADDED TO THE CORRESPONDING ROW OF AN EVENT IN THE SEQUENCE OF LMAX INPUT EVENTS TO GENERATE A NEW SEQUENCE OF TEST EVENTS FOR FURTHER ANALYSIS. THE NUMBER OF ELEMENTS IN COMMON BETWEEN A FINAL CHOSEN EVENT FROM THE STAR SEQUENCE AND EACH EVENT OF THE GENERATED SEQUENCE OF TEST EVENTS IS ALSO DETERMINED. THOSE TEST EVENTS ARE IDENTIFIED WHICH HAVE ELEMENTS IN COMMON WITH THE FINAL STAR EVENT, EXCEEDING SOME DESIRED MINIMUM THRESHOLD. STAT494 IS A VARIANT OF STAT488, BUT TEST EVENTS ARE GENERATED AS ABOVE. STAT494 ALSO DETERMINES THE NUMBER OF ELEMENTS IN COMMON BETWEEN THE EVENT SUCCEEDING A SELECTED STAR EVENT (IF IT EXISTS) AND EACH GENERATED SEQUENCE OF PERMUTATIONS. STAT494 READS UP TO 100 INITIAL STAR EVENTS AND GENERATES UP TO 700 TEST EVENTS. TRANSLATION PARAMETERS FOR THE INPUT EVENTS RESIDE IN FILE STAT494.IN2, STAT494.IN3 AND STAT494.IN4, WHEREAS, INPUT TEST EVENTS RESIDE IN THE FILE STAT494.INP, FROM WHICH A SEQUENCE OF TEST EVENTS IS GENERATED. MOREOVER, STAT494 DETERMINES THE NUMBER OF ELEMENTS IN COMMON BETWEEN THE EVENT SUCCEEDING A SELECTED STAR EVENT (IF IT EXISTS) AND EACH OF THE NEW TEST EVENTS. 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 THE SUCCESSIVE EVENT TO THE SELECTED STAR EVENT. A CONFIGURATION MATRIX IS GENERATED WHICH INDICATES THE ELEMENTS IN COMMON BETWEEN TEST EVENTS AND A DESIRED RANGE OF SUCCESSIVE STAR EVENTS. STAT494 IS A VARIANT AND EMBELLISHMENT OF STAT493. ============================================================================== -- L 495 -- READS A SEQUENCE OF IMAX STAR EVENTS ON L0 ELEMENTS, A SEQUENCE OF LMAX INPUT EVENTS ON < 1, 2, 3, ... , L0 >, AND A SEQUENCE OF TRANSLATION PARAMETERS CONSISTING OF LMAX COLUMNS. EACH TRANSLATION PARAMETER IN A GIVEN COLUMN IS ADDED TO THE CORRESPONDING ROW OF AN EVENT IN THE SEQUENCE OF LMAX INPUT EVENTS TO GENERATE A NEW SEQUENCE OF TEST EVENTS FOR FURTHER ANALYSIS. THE NUMBER OF ELEMENTS IN COMMON BETWEEN A FINAL CHOSEN EVENT FROM THE STAR SEQUENCE AND EACH EVENT OF THE GENERATED SEQUENCE OF TEST EVENTS IS ALSO DETERMINED. THOSE TEST EVENTS ARE IDENTIFIED WHICH HAVE ELEMENTS IN COMMON WITH THE FINAL STAR EVENT, EXCEEDING SOME DESIRED MINIMUM THRESHOLD. STAT495 IS A VARIANT OF STAT488, BUT TEST EVENTS ARE GENERATED AS ABOVE. STAT495 ALSO DETERMINES THE NUMBER OF ELEMENTS IN COMMON BETWEEN THE EVENT SUCCEEDING A SELECTED STAR EVENT (IF IT EXISTS) AND EACH GENERATED SEQUENCE OF PERMUTATIONS. STAT495 READS UP TO 100 INITIAL STAR EVENTS AND GENERATES UP TO 700 TEST EVENTS. TRANSLATION PARAMETERS FOR THE INPUT EVENTS RESIDE IN FILE STAT495.IN2, STAT495.IN3 AND STAT495.IN4, WHEREAS, INPUT TEST EVENTS RESIDE IN THE FILE STAT495.INP, FROM WHICH A SEQUENCE OF TEST EVENTS IS GENERATED. MOREOVER, STAT495 DETERMINES THE NUMBER OF ELEMENTS IN COMMON BETWEEN THE EVENT SUCCEEDING A SELECTED STAR EVENT (IF IT EXISTS) AND EACH OF THE NEW TEST EVENTS. 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 THE SUCCESSIVE EVENT TO THE SELECTED STAR EVENT. A CONFIGURATION MATRIX IS GENERATED WHICH INDICATES THE ELEMENTS IN COMMON BETWEEN TEST EVENTS AND A DESIRED RANGE OF SUCCESSIVE STAR EVENTS. STAT495 IS A VARIANT AND EMBELLISHMENT OF STAT494. HOWEVER, RATHER THAN BEING OF THE FORM (-1)**(I+J), TRANSLATION FACTORS OF THE FORM (-1)**(MOD(I,J)) , WHERE I AND J ARE ROW AND COLUMN INDEXES, ARE ADDED TO ELEMENTS OF GENERATED TEST EVENTS. ============================================================================== -- L 496 -- READS A SEQUENCE OF IMAX STAR EVENTS ON L0 ELEMENTS, A SEQUENCE OF LMAX INPUT EVENTS ON < 1, 2, 3, ... , L0 >, AND A SEQUENCE OF TRANSLATION PARAMETERS CONSISTING OF LMAX COLUMNS. EACH TRANSLATION PARAMETER IN A GIVEN COLUMN IS ADDED TO THE CORRESPONDING ROW OF AN EVENT IN THE SEQUENCE OF LMAX INPUT EVENTS TO GENERATE A NEW SEQUENCE OF TEST EVENTS FOR FURTHER ANALYSIS. THE NUMBER OF ELEMENTS IN COMMON BETWEEN A FINAL CHOSEN EVENT FROM THE STAR SEQUENCE AND EACH EVENT OF THE GENERATED SEQUENCE OF TEST EVENTS IS ALSO DETERMINED. THOSE TEST EVENTS ARE IDENTIFIED WHICH HAVE ELEMENTS IN COMMON WITH THE FINAL STAR EVENT, EXCEEDING SOME DESIRED MINIMUM THRESHOLD. STAT496 IS A VARIANT OF STAT488, BUT TEST EVENTS ARE GENERATED AS ABOVE. STAT496 ALSO DETERMINES THE NUMBER OF ELEMENTS IN COMMON BETWEEN THE EVENT SUCCEEDING A SELECTED STAR EVENT (IF IT EXISTS) AND EACH GENERATED SEQUENCE OF PERMUTATIONS. STAT496 READS UP TO 100 INITIAL STAR EVENTS AND GENERATES UP TO 700 TEST EVENTS. TRANSLATION PARAMETERS FOR THE INPUT EVENTS RESIDE IN FILE STAT496.IN2, STAT496.IN3 AND STAT496.IN4, WHEREAS, INPUT TEST EVENTS RESIDE IN THE FILE STAT496.INP, FROM WHICH A SEQUENCE OF TEST EVENTS IS GENERATED. MOREOVER, STAT496 DETERMINES THE NUMBER OF ELEMENTS IN COMMON BETWEEN THE EVENT SUCCEEDING A SELECTED STAR EVENT (IF IT EXISTS) AND EACH OF THE NEW TEST EVENTS. 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 THE SUCCESSIVE EVENT TO THE SELECTED STAR EVENT. A CONFIGURATION MATRIX IS GENERATED WHICH INDICATES THE ELEMENTS IN COMMON BETWEEN TEST EVENTS AND A DESIRED RANGE OF SUCCESSIVE STAR EVENTS. STAT496 IS A VARIANT AND EMBELLISHMENT OF STAT495. HOWEVER, RATHER THAN BEING OF THE FORM (-1)**(MOD(I,J)), TRANSLATION FACTORS OF THE FORM (MOD(I,J)) , WHERE I AND J ARE ROW AND COLUMN INDEXES, ARE ADDED TO ELEMENTS OF GENERATED TEST EVENTS. ============================================================================== -- L 497 -- READS A SEQUENCE OF IMAX STAR EVENTS ON L0 ELEMENTS, A SEQUENCE OF LMAX INPUT EVENTS ON < 1, 2, 3, ... , L0 >, AND A SEQUENCE OF TRANSLATION PARAMETERS CONSISTING OF LMAX COLUMNS. EACH TRANSLATION PARAMETER IN A GIVEN COLUMN IS ADDED TO THE CORRESPONDING ROW OF AN EVENT IN THE SEQUENCE OF LMAX INPUT EVENTS TO GENERATE A NEW SEQUENCE OF TEST EVENTS FOR FURTHER ANALYSIS. THE NUMBER OF ELEMENTS IN COMMON BETWEEN A FINAL CHOSEN EVENT FROM THE STAR SEQUENCE AND EACH EVENT OF THE GENERATED SEQUENCE OF TEST EVENTS IS ALSO DETERMINED. THOSE TEST EVENTS ARE IDENTIFIED WHICH HAVE ELEMENTS IN COMMON WITH THE FINAL STAR EVENT, EXCEEDING SOME DESIRED MINIMUM THRESHOLD. STAT497 IS A VARIANT OF STAT488, BUT TEST EVENTS ARE GENERATED AS ABOVE. STAT497 ALSO DETERMINES THE NUMBER OF ELEMENTS IN COMMON BETWEEN THE EVENT SUCCEEDING A SELECTED STAR EVENT (IF IT EXISTS) AND EACH GENERATED SEQUENCE OF PERMUTATIONS. STAT497 READS UP TO 100 INITIAL STAR EVENTS AND GENERATES UP TO 700 TEST EVENTS. TRANSLATION PARAMETERS FOR THE INPUT EVENTS RESIDE IN FILE STAT497.IN2, STAT497.IN3 AND STAT497.IN4, WHEREAS, INPUT TEST EVENTS RESIDE IN THE FILE STAT497.INP, FROM WHICH A SEQUENCE OF TEST EVENTS IS GENERATED. MOREOVER, STAT497 DETERMINES THE NUMBER OF ELEMENTS IN COMMON BETWEEN THE EVENT SUCCEEDING A SELECTED STAR EVENT (IF IT EXISTS) AND EACH OF THE NEW TEST EVENTS. 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 THE SUCCESSIVE EVENT TO THE SELECTED STAR EVENT. A CONFIGURATION MATRIX IS GENERATED WHICH INDICATES THE ELEMENTS IN COMMON BETWEEN TEST EVENTS AND A DESIRED RANGE OF SUCCESSIVE STAR EVENTS. STAT497 IS AN HYBRID AND EMBELLISHMENT OF STAT495 AND STAT496, COMBINED. HOWEVER, RATHER THAN BEING OF THE FORM (-1)**(I+J), TRANSLATION FACTORS OF THE FORM (-1)**(MOD(I,J)) , WHERE I AND J ARE ROW AND COLUMN INDEXES, ARE ADDED TO ELEMENTS OF GENERATED TEST EVENTS. ============================================================================== -- L 498 -- READS A SEQUENCE OF PERMUTATIONS AND PRINTS EACH PERMUTATION FROM THE LIST NO MORE THAN ONE TIME, THEREBY UNIFYING PERMUTATIONS WHICH OCCUR MULTIPLE TIMES. STAT498 ALSO ELIMINATES ALL BUT ONE OF ANY REPETITIVE ELEMENTS, PRINTING A NEW SEQUENCE OF CORRESPONDING OUTPUT PERMUTATIONS. AN EXECUTION PROCESSES UP TO 300 STAR EVENTS. THE ROUTINE FLAGS THE ELEMENTS OF A DESIRED RANGE OF STAR EVENTS AS THEY OCCUR AMONG AMONG THE ELEMENTS OF EACH OUTPUT PERMUTATION. OUTPUT PERMUATIONS (PERM.OUT) MAY BE UTILIZED AS INPUT FOR FILE (PERM.INP) IN STAT491. 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 PERMUTATIONS AND EACH EVENT IN THE RANGE OF SELECTED STAR EVENTS. A CONFIGURATION MATRIX IS GENERATED WHICH INDICATES THE ELEMENTS IN COMMON BETWEEN PERMUTATIONS AND A DESIRED RANGE OF SUCCESSIVE STAR EVENTS. STAT498 IS A VARIANT AND EMBELLISHMENT OF STAT492, NOT ONLY ELIMINATING ALL BUT ONE REPETITIVE ELEMENT PER PERMUTATION, BUT ALSO ELIMINATING ALL BUT ONE REPETITIVE PERMUTATION IN THE SEQUENCE. ============================================================================== -- L 499 -- READS A LARGE SEQUENCE OF UP TO 10,000 TEST EVENTS OF SIZE K0, FOR K0 BETWEEN 1 AND 6, AND PRINTS THE EVENTS AS A SEQUENCE OF OUTPUT FILES CONTAINING UP TO KMAX EVENTS EACH. AS AN ADDED FEATURE, THE ROUTINE FILTERS THE GENERATED EVENTS, BY SELECTING ONLY THOSE 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). KMAX MAY ASSUME ANY DESIRED VALUE UP TO 10000. AS AN ADDED FEATURE, STAT499 READS A SEQUENCE OF STAR EVENTS FROM BASE.INP AND FILTERS A DESIRED NUMBER OF EVENTS INTO BASE.OUT FROM A DESIRED RANGE OF INDEXES. ==============================================================================