= = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = COMP-U-STAT = = = = = = = = STATISTICAL PATTERN GENERATOR AND MATHEMATICAL TREND ANALYZER = = = = = = = = (c) Copyright 2017 by J.E. Glover, Ph.D. = = = = All Rights Reserved = = = = = = = = = = = = Part VII(a) ( STAT 1751 ----> STAT 1850 ) = = = = = = = = = = = = 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 1751 ---> 1850 * * * ====================================================================== -- L 1751 -- ( GENERATING (K0-1) EVENTS FROM EACH EVENT OF SIZE K0 FROM A GIVEN SEQUENCE OF SIZE BMAX BY SUCCESSIVELY DIVIDING EACH SINGLETON ELEMENT INTO ITS UNITS AND TENS DIGIT IN UNION WITH THE REMAINING (K0-2) CHOOSE (K0-3) ELEMENTS ) XXXXXIV STAT1751 READS A SEQUENCE OF BMAX K0-ELEMENT TEST EVENTS FROM STAT1751.INP AND A SEQUENCE OF IMAX K0-ELEMENT STAR EVENTS FROM BASE.INP. THE ROUTINE BREAKS EACH EVENT OF THE INPUT SEQUENCE OF K0-ELEMENT EVENTS INTO THE UNITS AND TENS DIGITS OF EACH ELEMENT UNION THE REMAINING (K0-2) CHOOSE (K0-3) ELEMENTS. 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. STAT1751 IS A VARIANT OF STAT1747, GENERATING A FIXED SEQUENCE OF HIGH-PROBABILITY TEST EVENTS IN STAT1751.OUT AND STAT94.INP. SEE ALSO STAT805. A CUMULATIVE FILE OF OUTPUT EVENTS IS GENERATED INTO STAT94.IN2. CF. ALSO STAT1747 AND STAT1749. ======================================================================== -- L 1752 -- ( TESTING AND PREDICTING INTERSECTION PERFORMANCE OF K0-ELEMENT EVENTS FROM A DESIRED NUMBER OF NON-OVERLAPPING SUBSEQUENCES ) XXXXXX STAT1752 READS A LARGE BLOCK OF BMAX K0-ELEMENT TEST EVENTS FROM STAT1752.INP AND A SEQUENCE OF IMAX K0-ELEMENT STAR EVENTS FROM BASE.INP. K0-ELEMENT EVENTS OF A DESIRED BLOCK-SIZE ARE DIRECTLY INTERSECTED WITH THE SEQUENCE OF STAR EVENTS FROM BASE.INP. THE ROUTINE ALSO FLAGS THE ELEMENTS OF A DESIRED RANGE OF STAR EVENTS AS THEY OCCUR AMONG THE ELEMENTS OF INTERSECTING 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. STAT1752 IS A VARIANT OF STAT1686, TACITLY GENERATING A SEQUENCE OF HIGH-PROBABILITY TEST EVENTS IN STAT1752.OUT AND STAT94.INP. HOWEVER, GENERATED EVENTS ARE SORTED IN DESCENDING ORDER OF GG(I), WHERE GG(I) = | (IMAX+1) - H(II) | - ( V0 * KCT ) FOR EACH TEST EVENT I. TEST EVENTS ARE FILTERED 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). EVENTS FROM STAT1752.INP ARE INCLUDED AS OUTPUT EVENTS. CF. STAT1649. CF. STAT1641 FOR GENERATING STAT1661.INP IN THE FORM OF STAT94.INP. CF. ALSO STAT1323, STAT1505, STAT1506, STAT1511, STAT1618 AND STAT1631. THOSE SUBSEQUENCES OF INPUT TEST EVENTS ARE FILTERED AS [*]-QUALIFYING BLOCKS WHICH SATISFY THE CONDITION THAT | ( IMAX+1 ) - H(II) | .GE. V0 * KCT , FOR A DESIRED REAL V0. STAT1752 IS ALSO A VARIANT OF STAT805. A CUMULATIVE FILE OF EVENTS IS GENERATED INTO STAT94.IN2. CF. ALSO STAT1686, AND STAT1695. STAT1752. ======================================================================== -- L 1753 -- ( PREDICTING FUTURE INTERSECTIONS FOR AN EXTENDED BLOCK OF TEST EVENTS WHICH ARE CYCLICALLY READ FROM A FIXED INPUT FILE ) XXXXXVI STAT1753 READS A VERY LARGE SEQUENCE OF K0-ELEMENT EVENTS FROM STAT1753.INP, E.G., WITH BLOCK-SIZE EXCEEDING 10,000 OR MORE AND ALSO READS A SEQUENCE OF BMAX K0-ELEMENT STAR EVENTS FROM BASE.INP. CYCLICAL BMAX-EVENT BLOCKS OF K0-ELEMENT EVENTS ARE INTERSECTED WITH EACH EVENT IN THE SEQUENCE OF STAR EVENTS READ FROM FILE BASE.INP. STAT1753 IS AUTOMATICALLY TERMINATED WHEN A SEQUENCE OF TEST EVENTS IS READ WHICH QUALIFIES AS A HIGH-PROBABILITY SEQUENCE. THE ROUTINE ALSO FLAGS THE ELEMENTS OF A DESIRED RANGE OF STAR EVENTS AS THEY OCCUR AMONG THE ELEMENTS OF EACH TEST EVENT. MOREOVER, OUTPUT TEST EVENTS ARE PRINTED IN THE FILE STAT94.INP FOR FUTURE USE BY OTHER ROUTINES. MOREOVER, THE NUMBER AND PERCENTAGE OF 0's , 1's, 2's, 3's, 4's, ... , K0's ARE COMPUTED AS DETERMINED CARDINALITIES OF INTERSECTION NUMBERS BETWEEN TEST EVENTS AND EACH EVENT IN THE RANGE OF SELECTED STAR EVENTS. A CONFIGURATION MATRIX IS GENERATED WHICH INDICATES THE ELEMENTS IN COMMON BETWEEN TEST EVENTS AND THE DESIRED RANGE OF SUCCESSIVE STAR EVENTS. THE ROUTINE ALSO PREDICTS THE NEXT SUCCESSFUL INTERSECTION INDEX BETWEEN A STAR EVENT AND THE GENERATED BLOCK OF TEST EVENTS. A SEQUENTIALLY PROCESSED BLOCK OF K0-ELEMENT OUTPUT EVENTS IS [*]-QUALIFIED IF, AND ONLY IF, EACH SELECTED BMAX EVENT BLOCK HAS A PRESCRIBED VALUE FOR KCT IN ITS INTERSECTION OCCURRENCE CADENCE. II IS THE LAST QUALIFYING STAR INDEX FOR INTERSECTING EVENTS AND IMAX IS THE FINAL STAR EVENT INDEX, II IS THE FINAL OCCURRENCE INDEX FOR INTERSECTIONS, AND MAX IS THE LARGEST INDEX DISPLACEMENT. STAT1753 IS A VARIANT/HYBRID OF STAT1715 AND STAT1280, EXECUTING UNTIL AN EXHAUSTIVE SEARCH IS COMPLETED FOR QUALIFYING BLOCKS OF K0-ELEMENT EVENTS, MAKING STAT1753 AS TERSE AS DESIRED. HOWEVER, PRINTED OUTPUT IS SUPPRESSED TO ALLOW FOR EXTENSIVE PROCESSING, MAKING STAT1753 AS TERSE AS DESIRED. CF. ALSO STAT1715. ======================================================================== -- L 1754 -- ( PREDICTING FUTURE INTERSECTIONS FOR AN EXTENDED BLOCK OF TEST EVENTS WHICH ARE CYCLICALLY READ FROM A FIXED INPUT FILE ) XXXXXVII STAT1754 READS A VERY LARGE SEQUENCE OF K0-ELEMENT EVENTS FROM STAT1754.INP, E.G., WITH BLOCK-SIZE EXCEEDING 10,000 OR MORE AND ALSO READS A SEQUENCE OF BMAX K0-ELEMENT STAR EVENTS FROM BASE.INP. CYCLICAL BMAX-EVENT BLOCKS OF K0-ELEMENT EVENTS ARE INTERSECTED WITH EACH EVENT IN THE SEQUENCE OF STAR EVENTS READ FROM FILE BASE.INP. STAT1754 IS AUTOMATICALLY TERMINATED WHEN A SEQUENCE OF TEST EVENTS IS READ WHICH QUALIFIES AS A HIGH-PROBABILITY SEQUENCE. THE ROUTINE ALSO FLAGS THE ELEMENTS OF A DESIRED RANGE OF STAR EVENTS AS THEY OCCUR AMONG THE ELEMENTS OF EACH TEST EVENT. MOREOVER, OUTPUT TEST EVENTS ARE PRINTED IN THE FILE STAT94.INP FOR FUTURE USE BY OTHER ROUTINES. MOREOVER, THE NUMBER AND PERCENTAGE OF 0's , 1's, 2's, 3's, 4's, ... , K0's ARE COMPUTED AS DETERMINED CARDINALITIES OF INTERSECTION NUMBERS BETWEEN TEST EVENTS AND EACH EVENT IN THE RANGE OF SELECTED STAR EVENTS. A CONFIGURATION MATRIX IS GENERATED WHICH INDICATES THE ELEMENTS IN COMMON BETWEEN TEST EVENTS AND THE DESIRED RANGE OF SUCCESSIVE STAR EVENTS. THE ROUTINE ALSO PREDICTS THE NEXT SUCCESSFUL INTERSECTION INDEX BETWEEN A STAR EVENT AND THE GENERATED BLOCK OF TEST EVENTS. A SEQUENTIALLY PROCESSED BLOCK OF K0-ELEMENT OUTPUT EVENTS IS [*]-QUALIFIED IF, AND ONLY IF, EACH SELECTED BMAX EVENT BLOCK HAS A RANGE OF VALUES FOR KCT IN ITS INTERSECTION OCCURRENCE CADENCE. II IS THE LAST QUALIFYING STAR INDEX FOR INTERSECTING EVENTS AND IMAX IS THE FINAL STAR EVENT INDEX, II IS THE FINAL OCCURRENCE INDEX FOR INTERSECTIONS, AND MAX IS THE LARGEST INDEX DISPLACEMENT. STAT1754 IS A VARIANT/HYBRID OF STAT1753 AND STAT1280, EXECUTING UNTIL AN EXHAUSTIVE SEARCH IS COMPLETED FOR QUALIFYING BLOCKS OF K0-ELEMENT EVENTS, MAKING STAT1754 AS TERSE AS DESIRED. HOWEVER, PRINTED OUTPUT IS SUPPRESSED TO ALLOW FOR EXTENSIVE PROCESSING, MAKING STAT1754 AS TERSE AS DESIRED. CF. ALSO STAT1753. ======================================================================== -- L 1755 -- ( GENERATING K0-ELEMENT EVENTS FROM A SEQUENCE BY SELECTING A FIXED PAIR AND A FIXED TRIAD OF ELEMENTS FROM ADJACENT PAIRS OF EVENTS ) XXXXXVIII STAT1755 READS A SEQUENCE OF BMAX K0-ELEMENT TEST EVENTS FROM STAT1755.INP AND A SEQUENCE OF IMAX K0-ELEMENT STAR EVENTS FROM BASE.INP. K0-ELEMENT EVENTS ARE GENERATED FROM STAT1755.INP BY SELECTING A FIXED PAIR AND A FIXED TRIAD OF ELEMENTS FROM ADJACENT PAIRS OF EVENTS. THIS PROCESS IS PERFORMED OVER ALL BMAX EVENTS. A SELECTED STAR EVENT OR SEQUENCE OF STAR EVENTS IS THEN INTERSECTED WITH EACH GENERATED TEST EVENT FOR UP TO 400 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. STAT1755 IS A VARIANT OF STAT1734, TACITLY GENERATING A SEQUENCE OF HIGH-PROBABILITY TEST EVENTS IN STAT1755.OUT AND STAT94.INP. NOT ALL SELECTED SUB-STRINGS FROM STAT1755.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 SEQUENCE OF VECTORS SELECTED BY THE ANALYST, I.E. , < M1, M2, M3, M4, ... , M10 > ( MOD T) , FOR KTOP DESIRED INTEGERS T AND SOME DESIRED SEQUENCE OF POSITIVE INTEGERS : M1, M2, M3, M4, M5, M6,M7, M8, M9, AND M10 (NOT NECESSARILY DISTINCT). INPUT EVENTS FROM STAT1755.INP ARE, OPTIONALLY, INCLUDED AS OUTPUT. ======================================================================== -- L 1756 -- ( GENERATING K0-ELEMENT EVENTS FROM EACH EVENT IN A SEQUENCE OF BMAX TEST EVENTS BY ADDING AND SUBTRACTING A FIXED RANGE OF TRANSLATION ELEMENTS TO EACH ELEMENT TO GENERATE DISJOINT EVENTS) XXXXXIX STAT1756 READS A SEQUENCE OF BMAX K0-ELEMENT TEST EVENTS FROM STAT1756.INP AND A SEQUENCE OF IMAX K0-ELEMENT STAR EVENTS FROM BASE.INP. THE INPUT SEQUENCE FROM STAT1756.INP AND THE DESIRED RANGE OF TRANSLATION ELEMENTS ARE UTILIZED TO GENERATE NEW EVENTS WHICH ARE DISJOINT FROM CORRESPONDING INPUT EVENTS. THEREAFTER, THE ANALYST IS PROMPTED FOR A DESIRED MAXIMUM NUMBER OF TEST EVENTS. A SELECTED STAR EVENT OR SEQUENCE OF STAR EVENTS IS THEN INTERSECTED WITH EACH GENERATED TEST EVENT FOR UP TO 400 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. STAT1756 IS A VARIANT OF STAT1755, TACITLY GENERATING A SEQUENCE OF HIGH-PROBABILITY TEST EVENTS IN STAT1756.OUT AND STAT94.INP. HOWEVER, A HIGH-PROBABILITY ESOTERIC PROCEDURE IS EMPLOYED IN IN SELECTING A PAIR OF NEW EVENTS UNION EACH INPUT TEST EVENT. GENERATED EVENTS ARE FILTERED BY SELECTING ONLY THOSE TEST EVENTS FROM THE SEQUENCE WITH INDICES WHICH ARE CONGRUENT TO AN ELEMENT OF A SEQUENCE OF VECTORS SELECTED BY THE ANALYST, I.E. , < M1, M2, M3, M4, ... , M10 > ( MOD T) , FOR KTOP DESIRED INTEGERS T AND SOME DESIRED SEQUENCE OF POSITIVE INTEGERS : M1, M2, M3, M4, M5, M6,M7, M8, M9, AND M10 (NOT NECESSARILY DISTINCT). ======================================================================== -- L 1757 -- ( GENERATING K0-ELEMENT EVENTS FROM A PIVOTAL EVENT WITH MEAN INDEX OVER BMAX TEST EVENTS BY FILTERING EVENTS WITH INDICES OCCURRING AT MULTIPLES OF SOME FIXED DISTANCE ON EITHER SIDE OF THE MEAN INDEX ) XXXXXX STAT1757 READS A SEQUENCE OF BMAX K0-ELEMENT TEST EVENTS FROM STAT1757.INP AND A SEQUENCE OF IMAX K0-ELEMENT STAR EVENTS FROM BASE.INP. THE ANALYST IS PROMPTED FOR A DESIRED NUMBER OF EVENTS TO BE FILTERED AND THE EVENT WITH MEAN PIVOTAL INDEX IS SELECTED. THEREAFTER, EVENTS ARE FILTERED ON BOTH SIDES OF THE PIVOTAL EVENT FOR WHICH THE INDICES OCCUR AT MULTIPLES OF SOME FIXED DISTANCE ON EITHER SIDE OF THE MEAN INDEX. THE PROCESS ENDS AT EXTREME INDICES. A SELECTED STAR EVENT OR SEQUENCE OF STAR EVENTS IS THEN INTERSECTED WITH EACH GENERATED TEST EVENT FOR UP TO 400 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. STAT1757 IS A VARIANT OF STAT1755, TACITLY GENERATING A SEQUENCE OF HIGH-PROBABILITY TEST EVENTS IN STAT1757.OUT AND STAT94.INP. HOWEVER, A HIGH-PROBABILITY ESOTERIC PROCEDURE IS EMPLOYED IN IN SELECTING A PAIR OF NEW EVENTS UNION EACH INPUT TEST EVENT. GENERATED EVENTS ARE FILTERED BY SELECTING ONLY THOSE TEST EVENTS FROM THE SEQUENCE WITH INDICES WHICH ARE CONGRUENT TO AN ELEMENT OF A SEQUENCE OF VECTORS SELECTED BY THE ANALYST, I.E. , < M1, M2, M3, M4, ... , M10 > ( MOD T) , FOR KTOP DESIRED INTEGERS T AND SOME DESIRED SEQUENCE OF POSITIVE INTEGERS : M1, M2, M3, M4, M5, M6,M7, M8, M9, AND M10 (NOT NECESSARILY DISTINCT). ======================================================================== -- L 1758 -- ( TESTING AND PREDICTING INTERSECTION PERFORMANCE OF K0-ELEMENT EVENTS FROM A DESIRED NUMBER OF NON-OVERLAPPING SUBSEQUENCES, IDENTIFYING SUBSEQUENCES WHICH ARE STAR-QUALIFYERS, AND FILTERING STAR-QUALIFIERS WHICH SATISFY BOUNDARY CONDITIONS ) XXXXXXII STAT1758 READS A LARGE BLOCK OF BMAX K0-ELEMENT TEST EVENTS FROM STAT1758.INP AND A SEQUENCE OF IMAX K0-ELEMENT STAR EVENTS FROM BASE.INP. K0-ELEMENT EVENTS OF A DESIRED BLOCK-SIZE ARE DIRECTLY INTERSECTED WITH THE SEQUENCE OF STAR EVENTS FROM BASE.INP. THE ROUTINE ALSO FLAGS THE ELEMENTS OF A DESIRED RANGE OF STAR EVENTS AS THEY OCCUR AMONG THE ELEMENTS OF INTERSECTING 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. STAT1758 IS A VARIANT OF STAT1672, TACITLY GENERATING A SEQUENCE OF HIGH-PROBABILITY TEST EVENTS IN STAT1758.OUT AND STAT94.INP. HOWEVER, MULTIPLE BLOCKS OF K0-ELEMENT INPUT EVENTS ARE PROCESSED, INSTEAD OF THREE. TEST EVENTS ARE FILTERED 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). EVENTS FROM STAT1758.INP ARE INCLUDED AS OUTPUT EVENTS. CF. STAT1649. CF. STAT1641 FOR GENERATING STAT1758.INP IN THE FORM OF STAT94.INP. CF. ALSO STAT1323, STAT1505, STAT1506, STAT1511, STAT1618 AND STAT1631. SUBSEQUENCES OF INPUT TEST EVENTS ARE IDENTIFIED AND FILTERED FOR WHICH (IMAX+1) = [-1,0,1] (MOD KCT) AND ARE LABELED AS [*]-QUALIFIED EVENTS. A CUMULATIVE FILE OF [*]-QUALIFYING EVENTS IS GENERATED INTO STAT94.IN2. ======================================================================== -- L 1759 -- ( FILTERING K0-ELEMENT EVENTS FROM A LARGE SEQUENCE BY INTERSECTING EVENTS WITH NON-OCCURRING ELEMENTS IN THE K0-COLUMNS OF THE LAST Q0 STAR EVENTS ) XXXXXXIV STAT1759 READS A LARGE BLOCK OF BMAX K0-ELEMENT TEST EVENTS FROM STAT1759.INP AND A SEQUENCE OF IMAX K0-ELEMENT STAR EVENTS FROM BASE.INP. EACH INPUT EVENT FROM STAT1759.INP IS DIRECTLY INTERSECTED WITH THE NON-OCCURRING ELEMENTS FROM THE K0-COLUMNS OVER THE LAST IBACK STAR EVENTS SELECTED BY THE ANALYST FROM BASE.INP. THOSE EVENTS ARE FILTERED WHOSE INTERSECTION CARDINALITIES ARE CONTAINED WITHIN A DESIRED INTERVAL OF INTEGER VALUES, [ V1,V2 ]. THE ROUTINE ALSO FLAGS THE ELEMENTS OF A DESIRED RANGE OF STAR EVENTS AS THEY OCCUR AMONG THE ELEMENTS OF INTERSECTING 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. STAT1759 IS A VARIANT OF STAT1672, TACITLY GENERATING A SEQUENCE OF HIGH-PROBABILITY TEST EVENTS IN STAT1759.OUT AND STAT94.INP. HOWEVER, MULTIPLE BLOCKS OF K0-ELEMENT INPUT EVENTS ARE PROCESSED, INSTEAD OF THREE. TEST EVENTS ARE FILTERED 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). EVENTS FROM STAT1759.INP ARE INCLUDED AS OUTPUT EVENTS. CF. STAT1649. CF. STAT1641 FOR GENERATING STAT1759.INP IN THE FORM OF STAT94.INP. CF. ALSO STAT1323, STAT1505, STAT1506, STAT1511, STAT1618 AND STAT1631. SUBSEQUENCES OF INPUT TEST EVENTS ARE IDENTIFIED AND FILTERED FOR WHICH (IMAX+1) = [-1,0,1] (MOD KCT) AND ARE LABELED AS [*]-QUALIFIED EVENTS. A CUMULATIVE FILE OF [*]-QUALIFYING EVENTS IS GENERATED INTO STAT94.IN2. ======================================================================== -- L 1760 -- ( PREDICTING FUTURE INTERSECTIONS FOR A CYCLIC BLOCK OF TEST EVENTS ) XXXXXXIV STAT1760 READS A LARGE SEQUENCE OF BMAX K0-ELEMENT TEST EVENTS FROM STAT1760.INP, A SEQUENCE OF CMAX K0-ELEMENT TRANSLATION EVENTS FROM STAT1760.IN2 AND A SEQUENCE OF IMAX K0-ELEMENT STAR EVENTS FROM BASE.INP. THE INPUT SEQUENCE IN STAT1760.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. STAT1760 FILTERS TEST EVENTS FROM STAT1760.INP INTO STAT1759.OUT AND STAT94.INP. INPUT BLOCKS FROM STAT1760.INP ARE ACCEPTED AS [*]- QUALIFIED IF, TMAX = ( IMAX - JMAX ) , WHERE JMAX IS A SELECTED FINAL INDEX FOR PROCESSING THE IMAX STAR EVENTS OF BASE.INP AND TMAX IS THE NUMBER OF ELAPSED STAR EVENT INDICES SINCE AT LEAST ONE [3] , ... , [K0] SHOULD EITHER BE EXPECTED TO OCCUR OR SHOULD HAVE ALREADY OCCURRED. THIS PROCESS IS CYCLICALLY REPEATED OVER ALL STAR EVENTS. STAT1760 IS A VARIANT OF STAT1505, STREAMLINING OUTPUT UNTIL AN EXHAUSTIVE SEARCH OVER STAT1760.INP IS COMPLETED FOR QUALIFYING BLOCKS OF K0-ELEMENT EVENTS. HOWEVER, AN EXTENDED SET OF STAR INDICES IS USED IN SELECTING QUALIFYING BLOCKS OF TEST EVENTS. CF. STAT1506 (AN EMBELLISHMENT OF STAT1323) FOR A VERSION OF STAT1760 WHICH GENERATES BLOCKS OF INPUT EVENTS RANDOMLY. STAT1760 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. ALSO STAT1619, WHICH IS THE PERMUTATION VERSION OF STAT1760. STAT1760 IS A VARIANT OF STAT1742. A FILE AND A CUMULATIVE FILE OF TRANSLATED EVENTS ARE GENERATED INTO STAT94.INP AND STAT94.IN2. ======================================================================== -- L 1761 -- ( GENERATION OF NEW BLOCKS OF K0-ELEMENT EVENTS FROM SELECTED ROW AND COLUMN INDICES FROM INITIAL K0-ELEMENT EVENT BLOCKS ) II STAT1761 READS A SEQUENCE OF BMAX K0-ELEMENT INPUT EVENTS FROM STAT1761.INP, A SEQUENCE OF CMAX K0-ELEMENT ROW INDEX EVENTS FROM STAT1761.IN2 (WITH ELEMENTS AUTOMATICALLY ADJUSTED, (MOD BMAX) ), AND A SEQUENCE OF IMAX K0-ELEMENT STAR EVENTS FROM BASE.INP. THE EVENTS IN STAT1761.INP ARE CONSTRUCTED BY EACH K0-ELEMENT EVENT OF STAT1761.IN2. K0-ELEMENT CONSTRUCTIONS ARE ALSO DETERMINED FROM THE K0 CORRESPONDING ELEMENTS OF EACH INPUT EVENT. A SELECTED STAR EVENT OR SEQUENCE OF STAR EVENTS IS THEN INTERSECTED WITH EACH TEST EVENT GENERATED FROM THE ABOVE CYCLICAL PROCESS. 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. STAT1761 IS A VARIANT OF STAT1676, TACITLY GENERATING A SEQUENCE OF HIGH-PROBABILITY TEST EVENTS IN STAT1761.OUT AND STAT94.INP. HOWEVER, ELEMENTS ARE NOT INTERCHANGED BETWEEN PAIRS OF EVENTS. 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). EVENTS OF STAT1761.INP ARE OPTIONALLY INCLUDED AS OUTPUT BY SELECTING THE TRANSLATION EVENT [ 0,0,0,0,0 ] IN STAT1761.IN2. CF. ALSO STAT1291, STAT1606 AND STAT1676. ======================================================================== -- L 1762 -- ( GENERATING THREE CONTIGUOUS K0-ELEMENT STRINGS FROM PERMUTATIONS ) STAT1762 READS A SEQUENCE OF PMAX 3*K0-ELEMENT PERMUTATIONS FROM PERM.INP AND A SEQUENCE OF IMAX K0-ELEMENT STAR EVENTS FROM BASE.INP. THREE CONTIGUOUS K0-ELEMENT STRINGS FROM EACH INPUT PERMUTATION ARE SELECTED AND PRINTED IN STAT94.INP FOR FUTURE USAGE. THE ROUTINE FLAGS THE ELEMENTS OF A DESIRED RANGE OF STAR EVENTS AS THEY OCCUR AMONG THE ELEMENTS OF EACH PERMUTATION. MOREOVER, OUTPUT TEST EVENTS ARE PRINTED IN THE FILE PERM.OUT 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 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 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 PERMUTATIONS. STAT1762 IS A VARIANT OF STAT1615, TACITLY GENERATING A SEQUENCE OF HIGH-PROBABILITY TEST EVENTS IN STAT1762.OUT AND STAT94.INP. ======================================================================== -- L 1763 -- ( CYCLIC GENERATION OF PERMUTATIONS FROM A FIXED PERMUTATION BY THE ADDITION OF SUCCESSIVE INTEGERS FROM < 1 , 2 , ... , Q0 > ) STAT1763 READS A FIXED Q0-ELEMENT PERMUTATION FROM PERM.INP AND A SEQUENCE OF IMAX K0-ELEMENT STAR EVENTS FROM BASE.INP. A SEQUENCE OF ELEMENTS FROM < 1 , 2 , ... , Q0 > FOR SOME DESIRED INTEGER Q0 IS ADDED TO EACH PERMUTATION ELEMENT AND THIS PROCESS IS CYCLICALLY REPEATED. THE ROUTINE FLAGS ELEMENTS OF A DESIRED RANGE OF STAR EVENTS AS THEY OCCUR AMONG THE ELEMENTS OF EACH PERMUTATION. OUTPUT TEST EVENTS ARE PRINTED IN THE FILE PERM.OUT 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 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 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 PERMUTATIONS. STAT1763 IS A VARIANT OF STAT1615, TACITLY GENERATING A SEQUENCE OF HIGH-PROBABILITY TEST EVENTS IN STAT1763.OUT AND PERM.OUT. STAT1763 IS ALSO A PERMUTATION VERSION OF STAT1483. ======================================================================== -- L 1764 -- ( SWITCHING SELECTED PAIRS OR TRIADS OF ELEMENTS BETWEEN BIPARTITE PAIRS OF K0-ELEMENT EVENTS TO GENERATE HIGH-PROBABILITY EVENTS ) STAT1764 READS A SEQUENCE OF K0-ELEMENT EVENTS FROM STAT1764.INP, A SEQUENCE OF 4- OR 6-ELEMENT COLUMN INDEX EVENTS FROM STAT1764.IN2 (WITH ELEMENTS AUTOMATICALLY ADJUSTED (MOD K0)), AND A SEQUENCE OF K0-ELEMENT STAR EVENTS FROM BASE.INP FOR INTERSECTION TESTING. THE ROUTINE SWITCHES PAIRS OR TRIADS OF ELEMENTS FROM BIPARTITE PAIRS OF K0-ELEMENT INPUT EVENTS OF STAT1764.INP BY MEANS OF SELECTED SEQUENCES OF TWO OR THREE PAIRS OF INDEX ELEMENTS FROM STAT1764.IN2. RESULTING MODIFIED PAIRS OF K0-ELEMENT EVENTS ARE PRINTED AS PROJECTED HIGH-PROBABILITY EVENTS IN STAT94.INP AND STAT1764.OUT. K0-ELEMENT CONSTRUCTIONS ARE CYCLICALLY DETERMINED. A SELECTED STAR EVENT OR SEQUENCE OF STAR EVENTS IS THEN INTERSECTED WITH EACH TEST EVENT GENERATED FROM THE ABOVE CYCLICAL PROCESS. 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. STAT1764 IS A VARIANT OF STAT1761, TACITLY GENERATING A SEQUENCE OF HIGH-PROBABILITY TEST EVENTS IN STAT1764.OUT AND STAT94.INP WITH ELEMENTS INTERCHANGED BETWEEN PAIRS OF EVENTS. ======================================================================== -- L 1765 -- ( SWITCHING SELECTED PAIRS OR TRIADS OF ELEMENTS BETWEEN BIPARTITE PAIRS OF K0-ELEMENT EVENTS TO GENERATE HIGH-PROBABILITY EVENTS BY MEANS OF A SELECTED SWITCHING CONFIGURATION TYPE ) II STAT1765 READS A SEQUENCE OF K0-ELEMENT EVENTS FROM STAT1765.INP, A SEQUENCE OF Q0-ELEMENT COLUMN INDEX EVENTS FROM STAT1765.INP (WHERE Q0 IS EITHER 2, 4, 6, OR 8, FOR A DESIRED CONFIGURATION, WITH ELEMENTS AUTOMATICALLY ADJUSTED (MOD K0)), AND A SEQUENCE OF K0-ELEMENT STAR EVENTS FROM BASE.INP FOR INTERSECTION TESTING. THE ROUTINE SWITCHES PAIRS OR TRIADS OF ELEMENTS FROM BIPARTITE PAIRS OF K0-ELEMENT INPUT EVENTS OF STAT1765.INP BY MEANS OF SEQUENCES OF ONE, TWO, THREE OR FOUR PAIRS OF INDEX ELEMENTS FROM STAT1765.IN2. RESULTING MODIFIED PAIRS OF K0-ELEMENT EVENTS ARE PRINTED AS PROJECTED HIGH-PROBABILITY EVENTS IN STAT94.INP AND STAT1765.OUT. K0-ELEMENT CONSTRUCTIONS ARE CYCLICALLY DETERMINED. A SELECTED STAR EVENT OR SEQUENCE OF STAR EVENTS IS THEN INTERSECTED WITH EACH TEST EVENT GENERATED FROM THE ABOVE CYCLICAL PROCESS. 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. STAT1765 IS A VARIANT OF STAT1764, TACITLY GENERATING A SEQUENCE OF HIGH-PROBABILITY TEST EVENTS IN STAT1765.OUT AND STAT94.INP. HOWEVER, THE ANALYST IS GIVEN THE OPTION OF SELECTING A DESIRED SWITCHING CONFIGURATION TYPE. ======================================================================== -- L 1766 -- ( K0-ELEMENT HIGH PROBABILITY EVENTS GENERATED FROM JUDICIOUSLY SELECTED SUB-STRINGS OF INDICES FROM BIPARTITE PAIRS OF EVENTS ) STAT1766 READS A SEQUENCE OF K0-ELEMENT EVENTS FROM STAT1766.INP, A SEQUENCE OF K0-ELEMENT COLUMN INDEX EVENTS FROM STAT1766.IN2 (WITH ELEMENTS AUTOMATICALLY ADJUSTED (MOD K0)), AND A SEQUENCE OF K0-ELEMENT STAR EVENTS FROM BASE.INP FOR INTERSECTION TESTING. THE ROUTINE GENERATES HIGH-PROBABILITY EVENTS BY SELECTING A TRIAD UNION A PAIR OR TRIAD OF ELEMENTS FROM BIPARTITE EVENTS IN STEPS OF THREE EVENTS, BASED UPON A PRESCRIBED SEQUENCE OF INDEX EVENTS (MOD K0). RESULTING MODIFIED PAIRS OF K0-ELEMENT EVENTS ARE PRINTED AS PROJECTED HIGH-PROBABILITY EVENTS IN STAT94.INP AND STAT1766.OUT. K0-ELEMENT CONSTRUCTIONS ARE CYCLICALLY DETERMINED. A SELECTED STAR EVENT OR SEQUENCE OF STAR EVENTS IS THEN INTERSECTED WITH EACH TEST EVENT GENERATED FROM THE ABOVE CYCLICAL PROCESS. 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. STAT1766 IS A VARIANT OF STAT1764, TACITLY GENERATING A SEQUENCE OF HIGH-PROBABILITY TEST EVENTS IN STAT1766.OUT AND STAT94.INP WITH ELEMENTS INTERCHANGED BETWEEN PAIRS OF EVENTS. ======================================================================== -- L 1767 -- ( K0-ELEMENT HIGH PROBABILITY EVENTS GENERATED FROM A SEQUENCE OF FIXED ELEMENTS UNION JUDICIOUSLY SELECTED INTEGRAL INCREMENTS ) STAT1767 READS A SEQUENCE OF K0-ELEMENT SELECTED INTEGRAL INCREMENTS FROM STAT1767.IN2 AND A SEQUENCE OF K0-ELEMENT STAR EVENTS FROM FROM BASE.INP. THE ROUTINE UTILIZES THE INCREMENTS TO GENERATE HIGH-PROBABILITY EVENTS BY ADDING SUCCESSIVE INTEGRAL INCREMENTS TO A FIXED INTEGER IN THE DESIRED INTERVAL [ L1,L2 ]. THIS PROCESS IS CYCLICALLY REPEATED FOR ALL INTEGERS IN THE SELECTED INTERVAL. A SELECTED STAR EVENT OR SEQUENCE OF STAR EVENTS IS THEN INTERSECTED WITH EACH TEST EVENT GENERATED FROM THE ABOVE CYCLICAL PROCESS. 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. STAT1767 IS A VARIANT OF STAT1766, TACITLY GENERATING A SEQUENCE OF HIGH-PROBABILITY TEST EVENTS IN STAT1767.OUT AND STAT94.INP BUT ELEMENTS ARE NOT INTERCHANGED BETWEEN PAIRS OF EVENTS. A FILE OF COLUMN ELEMENT DISPLACEMENTS OF THE FORM : A(IMAX-I+1,J+1) - A(IMAX-I+1,J),J=1,...,K0-1 AND I = 1,...,IMAX IS GENERATED INTO STAT1767.OT6. ======================================================================== -- L 1768 -- ( GENERATING HIGH-PROBABILITY K0-ELEMENT EVENTS FROM PERMUTATIONS BY SEQUENTIALLY SWITCHING PAIRS OF SINGLE OR DOUBLE ELEMENTS AND SELECTING CONTIGUOUS RESULTING K0-ELEMENT SUBSTRINGS ) STAT1768 READS A SEQUENCE OF PMAX Q0-ELEMENT PERMUTATIONS FROM PERM.INP AND A SEQUENCE OF IMAX K0-ELEMENT STAR EVENTS FROM BASE.INP. HIGH-PROBABILITY K0-ELEMENT EVENTS ARE GENERATED FROM EACH INPUT PERMUTATION BY SEQUENTIALLY SWITCHING PAIRS OF SINGLETON OR PAIRS OF PAIRS OF ELEMENTS AND SELECTING CONTIGUOUS K0-ELEMENT SUBSTRINGS WHICH RESULT. THE PROCESS IS CYCLICALLY REPEATED. PERMUTATION ARE SELECTED AND PRINTED IN STAT94.INP FOR FUTURE USAGE. THE ROUTINE FLAGS THE ELEMENTS OF A DESIRED RANGE OF STAR EVENTS AS THEY OCCUR AMONG THE ELEMENTS OF EACH PERMUTATION. MOREOVER, OUTPUT TEST EVENTS ARE PRINTED IN THE FILE PERM.OUT 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 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 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 PERMUTATIONS. STAT1768 IS A VARIANT OF STAT1762, TACITLY GENERATING A SEQUENCE OF HIGH-PROBABILITY TEST EVENTS IN STAT1768.OUT AND STAT94.INP. ======================================================================== -- L 1769 -- ( K0-ELEMENT HIGH PROBABILITY EVENTS GENERATED FROM JUDICIOUSLY SELECTED SUB-STRINGS OF INDICES FROM BIPARTITE PAIRS OF EVENTS ) II STAT1769 READS A SEQUENCE OF K0-ELEMENT EVENTS FROM STAT1769.INP, A SEQUENCE OF K0-ELEMENT COLUMN INDEX EVENTS FROM STAT1769.IN2 (WITH ELEMENTS AUTOMATICALLY ADJUSTED (MOD K0)), AND A SEQUENCE OF K0-ELEMENT STAR EVENTS FROM BASE.INP FOR INTERSECTION TESTING. THE ROUTINE GENERATES HIGH-PROBABILITY EVENTS BY SELECTING A QUAD UNION A SINGLETON OR PAIR OF ELEMENTS FROM BIPARTITE EVENTS IN STEPS OF THREE EVENTS, BASED UPON A PRESCRIBED SEQUENCE OF INDEX EVENTS (MOD K0). RESULTING MODIFIED PAIRS OF K0-ELEMENT EVENTS ARE PRINTED AS PROJECTED HIGH-PROBABILITY EVENTS IN STAT94.INP AND STAT1769.OUT. K0-ELEMENT CONSTRUCTIONS ARE CYCLICALLY DETERMINED. A SELECTED STAR EVENT OR SEQUENCE OF STAR EVENTS IS THEN INTERSECTED WITH EACH TEST EVENT GENERATED FROM THE ABOVE CYCLICAL PROCESS. 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. STAT1769 IS A VARIANT OF STAT1766, TACITLY GENERATING A SEQUENCE OF HIGH-PROBABILITY TEST EVENTS IN STAT1769.OUT AND STAT94.INP WITH ELEMENTS INTERCHANGED BETWEEN PAIRS OF EVENTS. ======================================================================== -- L 1770 -- ( K0-ELEMENT HIGH PROBABILITY EVENTS GENERATED FROM JUDICIOUSLY SELECTED SUB-STRINGS OF INDICES FROM BIPARTITE PAIRS OF EVENTS ) III STAT1770 READS A SEQUENCE OF K0-ELEMENT EVENTS FROM STAT1770.INP, A SEQUENCE OF K0-ELEMENT COLUMN INDEX EVENTS FROM STAT1770.IN2 (WITH ELEMENTS AUTOMATICALLY ADJUSTED (MOD K0)), AND A SEQUENCE OF K0-ELEMENT STAR EVENTS FROM BASE.INP FOR INTERSECTION TESTING. THE ROUTINE GENERATES HIGH-PROBABILITY EVENTS BY SELECTING A PAIR, UNION A PAIR, UNION A SINGLETON OF ELEMENTS (IF K0 = 5) OR A PAIR, UNION A PAIR, UNION A PAIR OF ELEMENTS (IF K0 = 6) OF ELEMENTS FROM BIPARTITE EVENTS IN STEPS OF THREE EVENTS, BASED UPON A PRESCRIBED SEQUENCE OF INDEX EVENTS (MOD K0). MODIFIED PAIRS OF EVENTS ARE PRINTED AS PROJECTED HIGH-PROBABILITY EVENTS IN STAT94.INP AND STAT1770.OUT. K0-ELEMENT CONSTRUCTIONS ARE CYCLICALLY DETERMINED. A SELECTED STAR EVENT OR SEQUENCE OF STAR EVENTS IS THEN INTERSECTED WITH EACH TEST EVENT GENERATED FROM THE ABOVE CYCLICAL PROCESS. 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. STAT1770 IS A VARIANT OF STAT1769, TACITLY GENERATING A SEQUENCE OF HIGH-PROBABILITY TEST EVENTS IN STAT1770.OUT AND STAT94.INP WITH ELEMENTS INTERCHANGED BETWEEN PAIRS OF EVENTS. ======================================================================== -- L 1773 -- TESTING A FIXED BLOCK OF TEST EVENTS FOR [*]-QUALIFICATION BASED UPON INTERSECTIONS WITH THE TOP Q0 STAR ELEMENTS OVER K0 COLUMNS XXXX STAT1773 READS A LARGE SEQUENCE OF BMAX K0-ELEMENT TEST EVENTS FROM STAT1773.INP, A SEQUENCE OF K0 Q0-ELEMENT PERMUTATIONS FROM PERM.INP AND A SEQUENCE OF IMAX K0-ELEMENT STAR EVENTS FROM BASE.INP. THE INPUT BLOCK IN STAT1773.INP IS TESTED FOR [*]- QUALIFICATION BY INTERSECTING ELEMENTS OF EACH SINGLE EVENT WITH WITH THE TOP Q0 MOST FREQUENT ELEMENTS IN EACH CORRESPONDING COLUMN OVER ALL IMAX STAR EVENTS, WHERE Q0 IS SELECTED BY THE ANALYST. EVENTS ARE FILTERED FOR WHICH ALL K0 ELEMENTS INTERSECT THE TARGET. 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. STAT1773 IS A VARIANT OF STAT1723, TACITLY GENERATING A SEQUENCE OF HIGH-PROBABILITY TEST EVENTS IN STAT1773.OUT AND STAT94.INP. CF. ALSO STAT1511 AND STAT1540. A CUMULATIVE SEQUENCE OF K0-ELEMENT TEST EVENTS IS GENERATED INTO STAT94.IN2. CF. STAT1305 FOR GENERATION OF THE INPUT FILE PERM.INP AS PERM.OUT IN STAT1305. ======================================================================== -- L 1774 -- TESTING A FIXED BLOCK OF TEST EVENTS FOR [*]-QUALIFICATION BASED UPON INTERSECTIONS WITH THE TOP Q0 STAR ELEMENTS OVER K0 COLUMNS XXXXI STAT1774 READS A LARGE SEQUENCE OF BMAX K0-ELEMENT TEST EVENTS FROM STAT1774.INP, A SEQUENCE OF K0 Q0-ELEMENT PERMUTATIONS FROM PERM.INP AND A SEQUENCE OF IMAX K0-ELEMENT STAR EVENTS FROM BASE.INP. THE INPUT BLOCK IN STAT1774.INP IS TESTED FOR [*]- QUALIFICATION BY INTERSECTING ELEMENTS OF EACH SINGLE EVENT WITH WITH THE TOP Q0 MOST FREQUENT ELEMENTS IN EACH CORRESPONDING COLUMN OVER ALL IMAX STAR EVENTS, WHERE Q0 IS SELECTED BY THE ANALYST. THE ANALYST IS ALSO QUERIED FOR A DESIRED INTERVAL, [ T1,T2 ], OF VALUES FOR TMAX, THE EXPECTED NUMBER OF ELAPSED STAR EVENTS FOR WHICH THE GENERATED BLOCK OF TEST EVENTS SHOULD BE [*]-QUALIFIED. EVENTS ARE FILTERED FOR WHICH ALL K0 ELEMENTS INTERSECT THE TARGET. 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. STAT1774 IS A VARIANT OF STAT1773, TACITLY GENERATING A SEQUENCE OF HIGH-PROBABILITY TEST EVENTS IN STAT1774.OUT AND STAT94.INP. CF. ALSO STAT1511 AND STAT1540. A CUMULATIVE SEQUENCE OF K0-ELEMENT TEST EVENTS IS GENERATED INTO STAT94.IN2. CF. STAT1305 FOR GENERATION OF THE INPUT FILE PERM.INP AS PERM.OUT IN STAT1305. ======================================================================== -- L 1775 -- STAT1775 READS A SEQUENCE OF BMAX K0-ELEMENT TEST EVENTS FROM STAT1775.INP, A SEQUENCE OF CMAX K0-ELEMENT TEST EVENTS FROM STAT1775.IN2, AND A SEQUENCE OF IMAX K0-ELEMENT STAR EVENTS FROM BASE.INP. THE EVENTS IN STAT1775.INP AND STAT1775.IN2 GENERATE A SEQUENCE OF HIGH-PROBABILITY EVENTS IN STAT1775.OUT FROM ELEMENTS OF THE FORM D(J) = (B(J)+C(J)) (MOD L0) FOR J = 1, 2, ... , K0. A SELECTED STAR EVENT OR SEQUENCE OF STAR EVENTS IS THEN INTERSECTED WITH EACH GENERATED TEST EVENT FOR UP TO 400 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. STAT1775 IS A VARIANT OF STAT1100, TACITLY GENERATING A SEQUENCE OF HIGH-PROBABILITY TEST EVENTS IN STAT1775.OUT AND STAT94.INP, TO GENERATE A SUBSEQUENCE OF HIGH-PROBABILITY TEST EVENTS. HOWEVER, NOT ALL SELECTED SUB-STRINGS FROM STAT1775.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). ======================================================================== -- L 1776 -- GENERATING K0-ELEMENT EVENTS FROM SELECTED RECTANGULAR SUBSETS OF EXTERNALLY GENERATED HIGH-PROBABILITY EVENTS STAT1776 READS A SEQUENCE OF BMAX K0-ELEMENT TEST EVENTS FROM STAT1776.INP AND A SEQUENCE OF IMAX K0-ELEMENT STAR EVENTS FROM BASE.INP. THE EVENTS IN STAT1776.INP ARE UTILIZED TO GENERATE A SEQUENCE OF HIGH-PROBABILITY EVENTS IN STAT1776.OUT VIA SELECTED RECTANGULAR SUBSETS OF EXTERNALLY GENERATED HIGH-PROBABILITY EVENTS. A SELECTED STAR EVENT OR SEQUENCE OF STAR EVENTS IS THEN INTERSECTED WITH EACH GENERATED TEST EVENT FOR UP TO 400 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. STAT1776 IS A VARIANT OF STAT1775, TACITLY GENERATING A SEQUENCE OF HIGH-PROBABILITY TEST EVENTS IN STAT1776.OUT AND STAT94.INP. CF. STAT1618 TO GENERATE STAT1776.INP AS STAT94.INP. ======================================================================== -- L 1777 -- ( GENERATION OF BLOCKS OF K0-ELEMENT EVENTS FROM A SEQUENCE OF Q0-ELEMENT PERMUTATIONS BY SELECTING ALTERNATING ELEMENTS FROM THE HEAD AND TAIL OF EACH PERMUTATION OF THE SEQUENCE ) STAT1777 READS A SEQUENCE OF PMAX PERMUTATIONS OF VARIABLE SIZES FROM PERM.INP, AND A SEQUENCE OF IMAX K0-ELEMENT STAR EVENTS FROM BASE.INP. K0-ELEMENT EVENTS ARE GENERATED FROM EACH PERMUTATION BY CYCLICALLY SELECTING ALTERNATING ELEMENTS FROM THE HEAD AND TAIL. A SELECTED STAR EVENT OR SEQUENCE OF STAR EVENTS IS THEN INTERSECTED WITH EACH TEST EVENT GENERATED FROM THE ABOVE CYCLICAL PROCESS. 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. STAT1777 IS A VARIANT OF STAT1640, TACITLY GENERATING A SEQUENCE OF HIGH-PROBABILITY TEST EVENTS IN STAT1777.OUT AND STAT94.INP. THREE EVENTS ARE GENERATED PER INPUT PERMUTATION, IF K0 = 5. FOUR EVENTS ARE GENERATED PER INPUT PERMUTATION, IF K0 = 6. A CUMULATIVE SEQUENCE OF K0-ELEMENT TEST EVENTS IS GENERATED INTO STAT94.IN2. CF. STAT1305 IN ORDER TO GENERATE INPUT FILE PERM.INP AS PERM.OUT. CF. ALSO STAT1640. ======================================================================== -- L 1778 -- DETERMINING ALL K0! PERMUTATIONS OF THE ELEMENTS OF EACH EVENT IN A SEQUENCE OF K0-ELEMENT TRANSLATION EVENTS TO GENERATE HIGH-PROBABILITY EVENTS STAT1778 READS A SEQUENCE OF BMAX K0-ELEMENT TEST EVENTS FROM STAT1778.INP, A SEQUENCE OF CMAX K0-ELEMENT TRANSLATION EVENTS FROM STAT1778.IN2, A SEQUENCE OF DMAX (OR A COMPLETE SET OF K0! PERMUTATIONS ON K0 ELEMENTS) EVENTS TO BE UTILIZED AS AN INDEX SET FROM STAT1778.IN3, AND A SEQUENCE OF IMAX K0-ELEMENT STAR EVENTS FROM BASE.INP. THE EVENTS IN STAT1778.INP, STAT1778.IN2, AND STAT1778.IN3 ARE UTILIZED TO GENERATE A SEQUENCE OF HIGH-PROBABILITY EVENTS OF THE FORM D(J) = (B(J)+T(J)) FOR J = 1, 2, ... , K0, WHERE D(J) IS A K0-ELEMENT TRANSLATION EVENT GENERATED FROM INPUT EVENTS. A SELECTED STAR EVENT OR SEQUENCE OF STAR EVENTS IS THEN INTERSECTED WITH EACH GENERATED TEST EVENT FOR UP TO 400 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. STAT1778 IS A VARIANT OF STAT1775, TACITLY GENERATING A SEQUENCE OF HIGH-PROBABILITY TEST EVENTS IN STAT1778.OUT AND STAT94.INP. 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 STAT1217.OT2. ======================================================================== -- L 1779 -- ( GENERATION OF HIGH-PROBABILITY PERMUTATIONS BY SELECTING STAR EVENT ELEMENTS WITH LATEST OCCURRENCE DISPLACEMENT EQUAL TO AN ELEMENT OF A DESIRED SEQUENCE ) STAT1779 READS A SEQUENCE OF PMAX Q0-ELEMENT PERMUTATIONS FROM PERM.INP, A SEQUENCE OF L0 SKIPS-SINCE-LAST-OCCURRENCE ELEMENTS FROM STAT55.OT4, A SEQUENCE OF PMAX Q0-ELEMENT PERMUTATIONS FROM PERM.INP AND A SEQUENCE OF IMAX K0-ELEMENT STAR EVENTS FROM BASE.INP. EACH SEQUENCE OF ELEMENTS FROM PERM.INP, FOR VARYING VALUES OF THE INTEGER Q0 IS INTERSECTED WITH EACH ELEMENT IN = < 1 , 2, ... , L0 > AND COMMON ELEMENTS ARE FILTERED INTO A HIGH-PROBABILITY PERMUTATION. THIS PROCESS IS CYCLICALLY REPEATED. REPEATED. THE ROUTINE FLAGS ELEMENTS OF A DESIRED RANGE OF STAR EVENTS AS THEY OCCUR AMONG THE ELEMENTS OF EACH PERMUTATION. OUTPUT TEST EVENTS ARE PRINTED IN THE FILE PERM.OUT 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 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 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 PERMUTATIONS. STAT1779 IS A VARIANT OF STAT1763, TACITLY GENERATING A SEQUENCE OF HIGH-PROBABILITY TEST EVENTS IN STAT1779.OUT AND PERM.OUT. CF. STAT55 FOR GENERATEION OF INPUT FILE STAT55.OT4. ======================================================================== -- L 1780 -- ( PREDICTING FUTURE INTERSECTIONS VIA TMAX AND II FOR A SERIES OF ELEMENTS IN < 1 , ... , L0 > VS. A SELECTED SEQUENCE OF ORDERED VECTORS [ K1,K2,K3,K4,K5 ] OF DESIRED VALUES OF TMAX ) XX STAT1780 READS A SEQUENCE OF IMAX STAR EVENTS AND A SEQUENCE OF BMAX 5-ELEMENT VECTORS OF DESIRED TMAX VALUES FROM STAT1780.INP AND COMPUTES THE ACTUAL VALUES OF TMAX AND II OVER IMAX STAR EVENTS, WHERE TMAX IS THE NUMBER OF ELAPSED EVENTS FOR WHICH A GIVEN INTERSECTION PROPERTY SHOULD HAVE BEEN SATISFIED AND II IS THE NUMBER OF STAR EVENTS OVER WHICH THE GIVEN INPUT EVENT HAS SATISFIED THE PROPERTY, WHERE THE SEQUENCE OF STAR EVENTS READ FROM FILE BASE.INP. THE ROUTINE ALSO PREDICTS THE NEXT SUCCESSFUL INTERSECTION INDEX BETWEEN A STAR EVENT AND EACH ELEMENT IN THE SEQUENCE <1,...,L0>. STAT1780 IS A VARIANT OF STAT1510. A CUMULATIVE FILE OF TMAX AND II VALUES, AS WELL AS SUMS OF TMAX AND IMAX VALUES FOR THE STAR EVENT SUCCEEDING THE FINAL STAR EVENT IN BASE.INP IS GENERATED IN FILE STAT1780.OT5 (WHEN K0 = 5) AND IN STAT1780.OT6 (WHEN K0 = 6). CF. ALSO STAT1401 and STAT1510. ======================================================================== -- L 1781 -- ( GENERATION OF ALL (Q0 C K0) K0-SUBSETS FROM A SUB-SEQUENCE OF Q0-ELEMENT PERMUTATIONS GENERATED FROM PERMUTATIONS OF SIZE V0 ) STAT1781 READS A SEQUENCE OF PMAX V0-ELEMENT PERMUTATIONS FROM PERM.INP AND A SEQUENCE OF IMAX K0-ELEMENT STAR EVENTS FROM BASE.INP. THE PERMUTATIONS IN PERM.INP ARE UTILIZED TO GENERATE A SUB-SEQUENCE OF PERMUTATIONS OF A DESIRED SIZE AND, IN TURN, SELECT A SEQUENCE OF HIGH-PROBABILITY K0-ELEMENT EVENTS IN STAT1781.OUT BY DETERMINING ALL K0-ELEMENT SUBSETS OF EACH INPUT PERMUTATION. STAT1781 IS A VARIANT OF STAT1401, TACITLY GENERATING A SEQUENCE OF HIGH-PROBABILITY TEST EVENTS IN STAT1781.OUT AND STAT1781.OT2. HOWEVER, THE WRAP-AROUND PROCEDURE IS NOT UTILIZED IN SELECTING Q0-ELEMENT SUB-PERMUTATIONS FROM V0-ELEMENT INPUT PERMUTATIONS. SUB-PERMUTATIONS ARE UTILIZED IN GENERATING K0-ELEMENT TEST EVENTS. THE COLUMN DIMENSION, Q0, OF EACH SUB-PERMUTATION IS PRESUMED TO BE A VALUE IN THE SET: { 1, 2, 3, 4 , ... , L0 }. CF. ALSO STAT543 AND STAT1401. ======================================================================== -- L 1782 -- DETERMINING ALL K0-ELEMENT EVENTS FROM K0 TRIADS VS. K0 PAIRS OR K0-TRIADS VS. K0-TRIADS OF ELEMENTS FROM BIPARTITE PAIRS OF ROWS OF K0-ELEMENT EVENTS OF A SEQUENCE I STAT1782 READS A SEQUENCE OF BMAX K0-ELEMENT TEST EVENTS FROM STAT1782.INP AND A SEQUENCE OF IMAX K0-ELEMENT STAR EVENTS FROM BASE.INP. THE EVENTS IN STAT1782.INP ARE UTILIZED TO GENERATE A SEQUENCE OF HIGH-PROBABILITY EVENTS BY DETERMINING ALL K0-ELEMENT EVENTS FROM K0 TRIADS VS. K0 PAIRS (IF K0 = 5) OR K0-TRIADS VS. K0-TRIADS OF ELEMENTS (IF K0 = 6) FROM BIPARTITE PAIRS OF ROWS OF K0-ELEMENT EVENTS FROM A GIVEN SEQUENCE. A SELECTED STAR EVENT OR SEQUENCE OF STAR EVENTS IS THEN INTERSECTED WITH EACH GENERATED TEST EVENT FOR UP TO 400 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. STAT1782 IS A VARIANT OF STAT1775, TACITLY GENERATING A SEQUENCE OF HIGH-PROBABILITY TEST EVENTS IN STAT1782.OUT AND STAT94.INP. 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 STAT1217.OT2 AND STAT1783. ======================================================================== -- L 1783 -- DETERMINING ALL K0-ELEMENT EVENTS FROM K0 TRIADS VS. K0 PAIRS OR K0-TRIADS VS. K0-TRIADS OF ELEMENTS FROM SELECTED PAIRS OF COLUMNS OF K0-EVENT SUBSETS OF EVENTS II STAT1783 READS A SEQUENCE OF BMAX K0-ELEMENT TEST EVENTS FROM STAT1783.INP AND A SEQUENCE OF IMAX K0-ELEMENT STAR EVENTS FROM BASE.INP. THE EVENTS IN STAT1783.INP ARE UTILIZED TO GENERATE A SEQUENCE OF HIGH-PROBABILITY EVENTS BY DETERMINING ALL K0-ELEMENT EVENTS FROM K0 TRIADS VS. K0 PAIRS (IF K0 = 5) OR K0-TRIADS VS. K0-TRIADS OF ELEMENTS (IF K0 = 6) FROM SELECTED PAIRS OF COLUMNS OF K0-EVENT SUBSETS OF EVENTS. THIS PROCESS IS CYCLICALLY REPEATED A DESIRED NUMBER OF TIMES BY THE ANALYST. A SELECTED STAR EVENT OR SEQUENCE OF STAR EVENTS IS THEN INTERSECTED WITH EACH GENERATED TEST EVENT FOR UP TO 400 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. STAT1783 IS A VARIANT OF STAT1782, TACITLY GENERATING A SEQUENCE OF HIGH-PROBABILITY TEST EVENTS IN STAT1783.OUT AND STAT94.INP. 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 STAT1217.OT2 AND STAT1782. ======================================================================== -- L 1784 -- ( FILTERING K0-ELEMENT EVENTS FROM A LARGE SEQUENCE OF EVENTS WITH INTERSECTION FREQUENCIES IN EACH COLUMN MATCHING THE CORRESPONDING COMPONENTS IN A SELECTED SEQUENCE OF VECTORS ) STAT1784 READS A LARGE SEQUENCE OF BMAX K0-ELEMENT TEST EVENTS FROM STAT1784.INP, A SEQUENCE OF CMAX K0-ELEMENT VECTORS IN STAT1784.IN2, WHOSE COMPONENTS ARE DESIRED OCCURRENCE FREQUENCIES OF ELEMENTS IN CORRESPONDING COLUMNS OF EVENTS IN STAT1784.INP, AND A SEQUENCE OF IMAX K0-ELEMENT STAR EVENTS FROM BASE.INP. THE INPUT BLOCK IN STAT1784.INP IS TESTED FOR [*]-QUALIFICATION AND ARE FILTERED IF EACH ELEMENT IN EACH OF THE K0 COLUMNS HAS AN OCCURRENCE FREQUENCY OVER THE LAST M0 STAR EVENTS MATCHING THE CORRESPONDING COMPONENTS OF ONE OF A DESIRED SEQUENCE OF VECTORS IN STAT1784.IN2. THIS PROCESS IS CYCLICALLY REPEATED. 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. STAT1784 IS A VARIANT OF STAT1773, TACITLY GENERATING A SEQUENCE OF HIGH-PROBABILITY TEST EVENTS IN STAT1784.OUT AND STAT94.INP. CF. ALSO STAT1511 AND STAT1540. A CUMULATIVE SEQUENCE OF K0-ELEMENT TEST EVENTS IS GENERATED INTO STAT94.IN2. ======================================================================== -- L 1785 -- STAT1785 READS A SEQUENCE OF BLOCKS OF EVENTS, EACH CONSISTING OF A SEQUENCE OF NUMBERS OF LIGHTNING STRIKES AT A SEQUENCE OF TIMES, t, IN UNIT INCREMENTS OF MINUTES AND DETERMINES STRIKE RATES AND TIME DISPLACEMENTS BETWEEN THE (2ND-TO-LAST AND LAST) STRIKES OR BETWEEN THE (3RD-TO-LAST AND 2ND-TO-LAST) STRIKES, TO GENERATE A CLIMATOLOGY FOR TIME DISPLACEMENTS BETWEEEN STRIKES, AND TO DETERMINE OPTIMAL TIMES FOR CANCELLING ADVISORIES, BASED UPON EMPIRICALLY COMPUTED RELIABILITIES DERIVED FROM STORM SIGNATURES. A RELIABILITY DISTRIBUTION IS ALSO GENERATED FOR THE RANDOM VARIABLE T, WHERE T IS THE EXPECTED OR MEAN TIME TO FAILURE (CESSATION OF LIGHTNING STRIKES) IN EACH MEASURED STORM. THIS PROCESS IS CYCLICALLY REPEATED FOR EACH STORM IN THE SEQUENCE. THE ROUTINE THEN GENERATES A MATRIX OF TIMES t CORREESPONDING TO A DESIRED SEQUENCE OF RELIABILITIES, R(t), AS WELL AS THE AVERAGE VALUE OF t ASSOCIATED WITH EACH VALUE OF R(t), WHERE R(t) = 1 - F(t) = P( T > t) AND F(t) IS THE CUMULATIVE DISTIBUTION OF T. R(t), THE RELIABILITY OF T AT TIME t, IS THE PROBABILITY (%) OF THE EXPECTED OCCURRENCE OF ONE OR MORE LIGHTNING STRIKES AFTER TIME t. ======================================================================== -- L 1786 -- STAT1786 READS A SEQUENCE OF PMAX STORM EVENTS CONSISTING OF Q0 VARYING LIGHTNING STRIKE RATES AS A FUNCTION OF TIME t IN UNIT INCREMENTS OF MINUTES AND DETERMINES A COMPOSITE STORM, CONSISTING OF V0 COMPUTED MEAN STRIKE RATES AT EACH TIME t , WHERE THE TIME DURATION OF STORMS VARIES. THE ROUTINE THEN DETERMINES TIME DISPLACEMENTS BETWEEN THE (2ND-TO-LAST AND LAST) STRIKES AND BETWEEN THE (3RD-TO-LAST AND 2ND-TO-LAST) STRIKES,GENERATING TIME DISPLACEMENTS BETWEEEN STRIKES FOR THE COMPOSITE STORM AND DETERMINING OPTIMAL TIMES FOR CANCELLING ADVISORIES, BASED UPON EMPIRICALLY COMPUTED RELIABILITIES DERIVED FROM THE STORM SIGNATURE. THE ROUTINE GENERATES A CUMULATIVE DISTRIBUTION F(t) AS A FUNCTION OF TIME t AND A CORRESPONDING RELIABILITY FUNCTION R(t) FOR THE RANDOM VARIABLE T, WHERE T IS THE EXPECTED OR MEAN TIME TO FAILURE (E.G., CESSATION OF LIGHTNING STRIKES) IN A MEASURED STORM. THE RELIABILITY AT TIME t IS GIVEN BY: R(t) = 1 - F(t) = P( T > t ). THE ANALYST IS QUERIED FOR A DESIRED MAXIMUM PROBABILITY (%) FOR THE EXPECTED OCCURRENCE OF ONE OR MORE LIGHNINNG STRIKES AND THE ROUTINE DETERMINES THE TIME t CORRESPONDING TO THE RELIABILITY R(t). THE ANALYST MAY ENTER A DESIRED MAXIMUM VALUE FOR THE INTEGER-VALUED DURATION TIMES IN MINUTES FOR EACH STORM TO BE SELECTED FROM STAT1786.INP AND ANALYZED. THE MAXIMUM DIMENSIONS OF P(N,M) <===> P(40,400), WHERE N IS THE NUMBER OF STORMS AND M IS THE NUMBER OF MINUTES OF DURATION. A FILE OF THE STORM WITH MEAN VALUES OF NUMBER OF STRIKES AT TIME t IS GENERATED INTO STAT1786.OT8. STAT1786 IS A VARIANT OF STAT1771. ======================================================================== -- L 1787 -- STAT1787 READS A SEQUENCE OF PMAX STORM EVENTS CONSISTING OF Q0 VARYING LIGHTNING STRIKE RATES AS A FUNCTION OF TIME t IN UNIT INCREMENTS OF MINUTES AND DETERMINES A COMPOSITE STORM, CONSISTING OF V0 COMPUTED MEAN STRIKE RATES AT EACH TIME t , WHERE THE TIME DURATION OF STORMS VARIES. THE ROUTINE THEN DETERMINES TIME DISPLACEMENTS BETWEEN THE (2ND-TO-LAST AND LAST) STRIKES AND BETWEEN THE (3RD-TO-LAST AND 2ND-TO-LAST) STRIKES,GENERATING TIME DISPLACEMENTS BETWEEEN STRIKES FOR THE COMPOSITE STORM AND DETERMINING OPTIMAL TIMES FOR CANCELLING ADVISORIES, BASED UPON EMPIRICALLY COMPUTED RELIABILITIES DERIVED FROM THE STORM SIGNATURE. THE ROUTINE GENERATES A CUMULATIVE DISTRIBUTION F(t) AS A FUNCTION OF TIME t AND A CORRESPONDING RELIABILITY FUNCTION R(t) FOR THE RANDOM VARIABLE T, WHERE T IS THE EXPECTED OR MEAN TIME TO FAILURE (E.G., CESSATION OF LIGHTNING STRIKES) IN A MEASURED STORM. THE RELIABILITY AT TIME t IS GIVEN BY: R(t) = 1 - F(t) = P( T > t ). THE ANALYST IS QUERIED FOR A DESIRED MAXIMUM PROBABILITY (%) FOR THE EXPECTED OCCURRENCE OF ONE OR MORE LIGHNINNG STRIKES AND THE ROUTINE DETERMINES THE TIME t CORRESPONDING TO THE RELIABILITY R(t). THE DETERMINES THE MAXIMUM STORM DURATION, DMAX, AND UTILIZES THIS DURATION TIME IN MINUTES FOR EACH STORM TO BE SELECTED FROM STAT1787.INP AND ANALYZED. THE MAXIMUM DIMENSIONS OF P(N,M) <===> P(40,400), WHERE N IS THE NUMBER OF STORMS AND M IS THE NUMBER OF MINUTES OF DURATION. A CUMULATIVE FILE OF STORMS WITH MEAN VALUES OF NUMBER OF STRIKES AT TIME t IS GENERATED INTO STAT1787.OT9. STAT1787 IS A VARIANT OF STAT1786. ======================================================================== -- L 1788 -- STAT1788 READS A SEQUENCE OF PMAX STORM EVENTS CONSISTING OF Q0 VARYING LIGHTNING STRIKE RATES AS A FUNCTION OF TIME t IN UNIT INCREMENTS OF MINUTES AND FILTERS THOSE STORMS FROM THE SEQUENCE FOR WHICH TM LIES IN THE DESIRED INTERVAL [ T1 , T2 ] AND CS LIES IN THE DESIRED INTERVAL [ CS1 , CS2 ] , WHERE TM IS THE TOTAL DURATION OF EACH STORM (IN MINUTES) AND CS IS THE CUMULATIVE NUMBER OF STRIKES OF EACH STORM. FILTERED STORMS ARE PRINTED IN STAT1788.OT2 WITH HEADERS FOR FURTHER ANALYSIS. ======================================================================== -- L 1789 -- STAT1789 READS A SINGLE STORM EVENT CONSISTING OF Q0 VARYING LIGHTNING STRIKE RATES AS A FUNCTION OF TIME t IN UNIT INCREMENTS OF MINUTES AND PRINTS THE MEASUREMENTS AS EITHER STAT1771.INP OR STAT1772.INP. ======================================================================== -- L 1790 -- ( PREDICTING FUTURE INTERSECTIONS FOR AN EXTENDED BLOCK OF TEST EVENTS WHICH ARE READ CYCLICALLY READ FROM A FIXED INPUT FILE ) XXXXXXXV STAT1790 READS A VERY LARGE SEQUENCE OF K0-ELEMENT EVENTS FROM STAT1790.INP, E.G., WITH BLOCK-SIZE EXCEEDING 10,000 OR MORE AND ALSO READS A SEQUENCE OF BMAX K0-ELEMENT STAR EVENTS FROM BASE.INP. CYCLICAL BMAX-EVENT BLOCKS OF K0-ELEMENT EVENTS ARE INTERSECTED WITH EACH EVENT IN THE SEQUENCE OF STAR EVENTS READ FROM FILE BASE.INP. STAT1790 IS AUTOMATICALLY TERMINATED WHEN A SEQUENCE OF TEST EVENTS IS READ WHICH QUALIFIES AS A HIGH-PROBABILITY SEQUENCE. THE ROUTINE ALSO FLAGS THE ELEMENTS OF A DESIRED RANGE OF STAR EVENTS AS THEY OCCUR AMONG THE ELEMENTS OF EACH TEST EVENT. MOREOVER, OUTPUT TEST EVENTS ARE PRINTED IN THE FILE STAT94.INP FOR FUTURE USE BY OTHER ROUTINES. MOREOVER, THE NUMBER AND PERCENTAGE OF 0's , 1's, 2's, 3's, 4's, ... , K0's ARE COMPUTED AS DETERMINED CARDINALITIES OF INTERSECTION NUMBERS BETWEEN TEST EVENTS AND EACH EVENT IN THE RANGE OF SELECTED STAR EVENTS. A CONFIGURATION MATRIX IS GENERATED WHICH INDICATES THE ELEMENTS IN COMMON BETWEEN TEST EVENTS AND THE DESIRED RANGE OF SUCCESSIVE STAR EVENTS. THE ROUTINE ALSO PREDICTS THE NEXT SUCCESSFUL INTERSECTION INDEX BETWEEN A STAR EVENT AND THE GENERATED BLOCK OF TEST EVENTS. A CYCLICALLY SELECTED BLOCK OF K0-ELEMENT OUTPUT EVENTS IS [*]- QUALIFIED IF, AND ONLY IF, ( [ IMAX+1 ] - H(II) ) .GE. Q0 * KCT FOR SOME DESIRED THRESHOLD OR LOWER BOUND INTEGER, Q0, WHERE KCT IS THE CADENCE OR NUMBER OF ELAPSED STAR INDICES IN BASE.INP OVER WHICH THE FILTERING CRITERION SHOULD OCCUR , IMAX IS THE FINAL STAR EVENT INDEX, II IS THE FINAL OCCURRENCE INDEX FOR INTERSECTIONS, AND MAX IS THE LARGEST INDEX DISPLACEMENT. STAT1790 IS A VARIANT/HYBRID OF STAT1799, EXECUTING UNTIL AN EXHAUSTIVE SEARCH IS COMPLETED FOR QUALIFYING BLOCKS OF K0-ELEMENT EVENTS, MAKING STAT1790 AS TERSE AS DESIRED. STAT1790 IS ANOTHER TEST EVENT VERSION OF STAT1273, AS WELL AS A VARIANT OF STAT1268. HOWEVER, PRINTED OUTPUT IS SUPPRESSED TO ALLOW FOR EXTENSIVE PROCESSING, MAKING STAT1790 AS TERSE AS DESIRED. CF. ALSO STAT1725 FOR FILTERING [*]-QUALIFIED EVENTS IF, AND ONLY IF, THE CRITERION [ IMAX + 1 ] (MOD KCT) = EITHER 0 OR 1 IS SATISFIED. CF. ALSO STAT1799 AND STAT1800. ======================================================================== -- L 1791 -- ( GENERATION A NEW BLOCK OF K0-ELEMENT EVENTS FROM A FIXED LEXICOGRAPHIC SEQUENCE BY INCREMENTING REPETITIVE ELEMENTS FROM SUCCESSIVE ROWS OF EACH ONE OF K0 COLUMNS PER EVENT ) XXXXXXI STAT1791 READS A SEQUENCE OF BMAX K0-ELEMENT LEXICOGRAPHIC EVENTS IN STAT1791.INP AND A SEQUENCE OF IMAX K0-ELEMENT STAR EVENTS FROM BASE.INP. K0-ELEMENT EVENTS ARE GENERATED FROM INPUT EVENTS BY INCREMENTING REPETITIVE ELEMENTS FROM SUCCESSIVE ROWS OF EACH ONE OF K0 COLUMNS PER INPUT EVENT. THE PROCESS IS CYCLICALLY REPEATED. A SELECTED STAR EVENT OR SEQUENCE OF STAR EVENTS IS THEN INTERSECTED WITH EACH TEST EVENT GENERATED FROM THE ABOVE CYCLICAL PROCESS. 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. STAT1791 IS A VARIANT OF STAT1700, TACITLY GENERATING A SEQUENCE OF HIGH-PROBABILITY TEST EVENTS IN STAT1791.OUT AND STAT94.INP. A CUMULATIVE FILE OF [*]-QUALIFIYING EVENTS IS GENERATED IN STAT94.IN2. HOWEVER, ELEMENTS ARE NOT INTERCHANGED BETWEEN PAIRS OF EVENTS. 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 STAT1636. ======================================================================== -- L 1792 -- FILTERING K0-ELEMENT EVENTS FROM A LARGE SEQUENCE UNTIL THE COMPLETE SET OF L0 ELEMENTS HAVE OCCURRED IN EACH OF K0 COLUMNS AT MOST ONCE XXXXXXII STAT1792 READS A LARGE SEQUENCE OF BMAX K0-ELEMENT TEST EVENTS FROM STAT1792.INP AND A SEQUENCE OF IMAX K0-ELEMENT STAR EVENTS FROM BASE.INP. THOSE EVENTS ARE FILTERED AS [*]-QUALIFIED IF ELEMENTS FROM EACH OF THE K0 COLUMNS HAVE OCCURRED AT MOST ONCE IN A SELECTED TEST EVENT. 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. STAT1792 IS A VARIANT OF STAT1745, TACITLY GENERATING A SEQUENCE OF HIGH-PROBABILITY TEST EVENTS IN STAT1792.OUT AND STAT94.INP. FURTHERMORE, QUALIFYING EVENTS ARE ALSO RANKED IN DESCENDING ORDER ORDER OF AGGREGATE INTERSECTION COUNTS OVER THE IMAX STAR EVENTS. CF. ALSO STAT1540 AND STAT1483. A CUMULATIVE SEQUENCE OF K0-ELEMENT TEST EVENTS IS GENERATED INTO STAT94.IN2. ======================================================================== -- L 1793 -- ( PREDICTING FUTURE INTERSECTIONS FOR TEST EVENTS VS. STAR EVENTS BASED UPON A MINIMUM OR MAXIMUM NUMBER OF COMMON ELEMENTS ) XXXXX STAT1793 READS A LARGE SEQUENCE OF K0-ELEMENT TEST EVENTS FROM STAT1793.INP AND A SEQUENCE OF IMAX K0-ELEMENT STAR EVENTS FROM BASE.INP. THE INPUT SEQUENCE IN STAT1793.INP IS READ AS A SEQUENCE BMAX-EVENT NON-OVERLAPPING BLOCKS AND EACH SUCH EVENT IS INTERSECTED VS. EACH EVENT IN THE SEQUENCE OF STAR EVENTS READ FROM FILE BASE.INP. STAT1793 THEN DETERMINES AND FILTERS THOSE INPUT EVENTS HAVING A DESIRED MIN OR MAX NUMBER OF COMMON ELEMENTS WITH STAR EVENTS, WITH REPETITION OVER A DESIRED NUMBER OF CYCLES AND INPUT BLOCK-SIZES. 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. STAT1793 IS A VARIANT OF STAT1747, GENERATING A FIXED SEQUENCE OF HIGH-PROBABILITY TEST EVENTS IN STAT1793.OUT AND STAT94.INP. SEE ALSO STAT805. A CUMULATIVE FILE OF OUTPUT EVENTS IS GENERATED INTO STAT94.IN2. ======================================================================== -- L 1794 -- FILTERING K0-ELEMENT EVENTS FROM A LARGE SEQUENCE BASED UPON A DESIRED RANGE OF FUNCTIONAL VALUES XXXXXXIV STAT1794 READS A LARGE SEQUENCE OF BMAX K0-ELEMENT TEST EVENTS FROM STAT1794.INP AND A SEQUENCE OF IMAX K0-ELEMENT STAR EVENTS FROM BASE.INP. AN EVENT IS FILTERED AS [*]-QUALIFIED IF THE INPUT FUNCTIONAL VALUE OF THE EVENT IS CONTAINED IN A DESIRED INTERVAL OF VALUES, [V0,V1]. SUCH EVENTS ARE FILTERED INTO STAT1404.INP FOR FURTHER PROCESSING. 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. STAT1794 IS A VARIANT OF STAT1792, TACITLY GENERATING A SEQUENCE OF HIGH-PROBABILITY TEST EVENTS IN STAT1794.OUT AND STAT94.INP. FURTHERMORE, QUALIFYING EVENTS ARE ALSO RANKED IN DESCENDING ORDER ORDER OF AGGREGATE INTERSECTION COUNTS OVER THE IMAX STAR EVENTS. CF. ALSO STAT1540 AND STAT1404. A CUMULATIVE SEQUENCE OF K0-ELEMENT TEST EVENTS IS GENERATED INTO STAT94.IN2. ======================================================================== -- L 1795 -- FILTERING K0-ELEMENT EVENTS FROM A LARGE SEQUENCE AND PRINTING EACH EVENT WITH ITS ELEMENTS (MOD V0) XXXXXXV STAT1795 READS A LARGE SEQUENCE OF BMAX K0-ELEMENT TEST EVENTS FROM STAT1795.INP AND A SEQUENCE OF IMAX K0-ELEMENT STAR EVENTS FROM BASE.INP. AN EVENT IS FILTERED WITH EACH OF ITS ELEMENTS ADJUSTED (MOD V0), FOR SOME DESIRED INTEGER, V0, AND PRINTED IN STAT94.INP FOR FURTHER USAGE. 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. STAT1795 IS A VARIANT OF STAT1794, TACITLY GENERATING A SEQUENCE OF HIGH-PROBABILITY TEST EVENTS IN STAT1795.OUT AND STAT94.INP. 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 STAT1540 AND STAT1794. A CUMULATIVE SEQUENCE OF K0-ELEMENT TEST EVENTS IS GENERATED INTO STAT94.IN2. ======================================================================== -- L 1796 -- ( PREDICTING FUTURE INTERSECTIONS FOR AN EXTENDED BLOCK OF TEST EVENTS WHICH ARE READ CYCLICALLY READ FROM A FIXED INPUT FILE ) XXXXXXVI STAT1796 READS A VERY LARGE SEQUENCE OF K0-ELEMENT EVENTS FROM STAT1796.INP, E.G., WITH BLOCK-SIZE EXCEEDING 10,000 OR MORE AND ALSO READS A SEQUENCE OF BMAX K0-ELEMENT STAR EVENTS FROM BASE.INP. CYCLICAL BMAX-EVENT BLOCKS OF K0-ELEMENT EVENTS ARE INTERSECTED WITH EACH EVENT IN THE SEQUENCE OF STAR EVENTS READ FROM FILE BASE.INP. STAT1796 IS AUTOMATICALLY TERMINATED WHEN A SEQUENCE OF TEST EVENTS IS READ WHICH QUALIFIES AS A HIGH-PROBABILITY SEQUENCE. THE ROUTINE ALSO FLAGS THE ELEMENTS OF A DESIRED RANGE OF STAR EVENTS AS THEY OCCUR AMONG THE ELEMENTS OF EACH TEST EVENT. MOREOVER, OUTPUT TEST EVENTS ARE PRINTED IN THE FILE STAT94.INP FOR FUTURE USE BY OTHER ROUTINES. MOREOVER, THE NUMBER AND PERCENTAGE OF 0's , 1's, 2's, 3's, 4's, ... , K0's ARE COMPUTED AS DETERMINED CARDINALITIES OF INTERSECTION NUMBERS BETWEEN TEST EVENTS AND EACH EVENT IN THE RANGE OF SELECTED STAR EVENTS. A CONFIGURATION MATRIX IS GENERATED WHICH INDICATES THE ELEMENTS IN COMMON BETWEEN TEST EVENTS AND THE DESIRED RANGE OF SUCCESSIVE STAR EVENTS. THE ROUTINE ALSO PREDICTS THE NEXT SUCCESSFUL INTERSECTION INDEX BETWEEN A STAR EVENT AND THE GENERATED BLOCK OF TEST EVENTS. A CYCLICALLY SELECTED BLOCK OF K0-ELEMENT OUTPUT EVENTS IS [*]- QUALIFIED IF, AND ONLY IF, [ IMAX+1 ] = 0 (MOD M) , WITH EITHER M = INT(KCT) OR M = INT(KCT+0.5) , WHERE KCT IS THE OCCURRENCE CADENCE OR NUMBER OF ELAPSED STAR INDICES OVER WHICH THE FILTERING CRITERION SHOULD OCCUR , IMAX IS THE FINAL STAR EVENT INDEX, II IS THE FINAL OCCURRENCE INDEX FOR INTERSECTIONS, AND MAX IS THE LARGEST INDEX DISPLACEMENT. THIS PROCESS IS CYCLICALLY REPEATED. STAT1796 IS A VARIANT/HYBRID OF STAT1790, EXECUTING UNTIL AN EXHAUSTIVE SEARCH IS COMPLETED FOR QUALIFYING BLOCKS OF K0-ELEMENT EVENTS, MAKING STAT1796 AS TERSE AS DESIRED. STAT1796 IS ANOTHER TEST EVENT VERSION OF STAT1273, AS WELL AS A VARIANT OF STAT1268. HOWEVER, PRINTED OUTPUT IS SUPPRESSED TO ALLOW FOR EXTENSIVE PROCESSING, MAKING STAT1796 AS TERSE AS DESIRED. CF. ALSO STAT1725 FOR FILTERING [*]-QUALIFIED EVENTS IF, AND ONLY IF, THE CRITERION [ IMAX + 1 ] (MOD KCT) = EITHER 0 OR 1 IS SATISFIED. ======================================================================== -- L 1797 -- ( GENERATION A NEW BLOCK OF K0-ELEMENT EVENTS FROM A FIXED SEQUENCE BY DECREMENTING ELEMENTS OF SCROLLING DIAGONALS BY K UNITS WITH K = 1 , 2 , ... , K0 ) XXXXXXX STAT1797 READS A SEQUENCE OF BMAX K0-ELEMENT LEXICOGRAPHIC EVENTS IN STAT1797.INP AND A SEQUENCE OF IMAX K0-ELEMENT STAR EVENTS FROM BASE.INP. K0-ELEMENT EVENTS ARE GENERATED FROM INPUT EVENTS BY DECREMENTING ELEMENTS OF SCROLLING DIAGONALS BY K UNITS, WHERE K = 1 , 2 , ... , K0. THE PROCESS IS CYCLICALLY REPEATED. A SELECTED STAR EVENT OR SEQUENCE OF STAR EVENTS IS THEN INTERSECTED WITH EACH TEST EVENT GENERATED FROM THE ABOVE CYCLICAL PROCESS. 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. STAT1797 IS A VARIANT OF STAT1791, TACITLY GENERATING A SEQUENCE OF HIGH-PROBABILITY TEST EVENTS IN STAT1797.OUT AND STAT94.INP. A CUMULATIVE FILE OF [*]-QUALIFIYING EVENTS IS GENERATED IN STAT94.IN2. HOWEVER, ELEMENTS ARE NOT INTERCHANGED BETWEEN PAIRS OF EVENTS. 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 STAT1636. ======================================================================== -- L 1798 -- ( GENERATION A NEW BLOCK OF K0-ELEMENT EVENTS FROM A FIXED SEQUENCE BY INCREMENTING ELEMENTS OF SCROLLING DIAGONALS BY K UNITS WITH K = 1 , 2 , ... , K0 ) XXXXXXXI STAT1798 READS A SEQUENCE OF BMAX K0-ELEMENT LEXICOGRAPHIC EVENTS IN STAT1798.INP AND A SEQUENCE OF IMAX K0-ELEMENT STAR EVENTS FROM BASE.INP. K0-ELEMENT EVENTS ARE GENERATED FROM INPUT EVENTS BY INCREMENTING ELEMENTS OF SCROLLING DIAGONALS BY K UNITS, WHERE K = 1 , 2 , ... , K0. THE PROCESS IS CYCLICALLY REPEATED. A SELECTED STAR EVENT OR SEQUENCE OF STAR EVENTS IS THEN INTERSECTED WITH EACH TEST EVENT GENERATED FROM THE ABOVE CYCLICAL PROCESS. 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. STAT1798 IS A VARIANT OF STAT1791, TACITLY GENERATING A SEQUENCE OF HIGH-PROBABILITY TEST EVENTS IN STAT1798.OUT AND STAT94.INP. A CUMULATIVE FILE OF [*]-QUALIFIYING EVENTS IS GENERATED IN STAT94.IN2. HOWEVER, ELEMENTS ARE NOT INTERCHANGED BETWEEN PAIRS OF EVENTS. 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 STAT1636. ======================================================================== -- L 1799 -- ( PREDICTING FUTURE INTERSECTIONS FOR AN EXTENDED BLOCK OF TEST EVENTS WHICH ARE READ CYCLICALLY READ FROM A FIXED INPUT FILE ) XXXXXXXIV STAT1799 READS A VERY LARGE SEQUENCE OF K0-ELEMENT EVENTS FROM STAT1799.INP, E.G., WITH BLOCK-SIZE EXCEEDING 10,000 OR MORE AND ALSO READS A SEQUENCE OF BMAX K0-ELEMENT STAR EVENTS FROM BASE.INP. CYCLICAL BMAX-EVENT BLOCKS OF K0-ELEMENT EVENTS ARE INTERSECTED WITH EACH EVENT IN THE SEQUENCE OF STAR EVENTS READ FROM FILE BASE.INP. STAT1799 IS AUTOMATICALLY TERMINATED WHEN A SEQUENCE OF TEST EVENTS IS READ WHICH QUALIFIES AS A HIGH-PROBABILITY SEQUENCE. THE ROUTINE ALSO FLAGS THE ELEMENTS OF A DESIRED RANGE OF STAR EVENTS AS THEY OCCUR AMONG THE ELEMENTS OF EACH TEST EVENT. MOREOVER, OUTPUT TEST EVENTS ARE PRINTED IN THE FILE STAT94.INP FOR FUTURE USE BY OTHER ROUTINES. MOREOVER, THE NUMBER AND PERCENTAGE OF 0's , 1's, 2's, 3's, 4's, ... , K0's ARE COMPUTED AS DETERMINED CARDINALITIES OF INTERSECTION NUMBERS BETWEEN TEST EVENTS AND EACH EVENT IN THE RANGE OF SELECTED STAR EVENTS. A CONFIGURATION MATRIX IS GENERATED WHICH INDICATES THE ELEMENTS IN COMMON BETWEEN TEST EVENTS AND THE DESIRED RANGE OF SUCCESSIVE STAR EVENTS. THE ROUTINE ALSO PREDICTS THE NEXT SUCCESSFUL INTERSECTION INDEX BETWEEN A STAR EVENT AND THE GENERATED BLOCK OF TEST EVENTS. A CYCLICALLY SELECTED BLOCK OF K0-ELEMENT OUTPUT EVENTS IS [*]- QUALIFIED IF, AND ONLY IF, [ IMAX+1 ] = [N1,N2,N3,N4,N5] (MOD KCT) FOR SOME DESIRED INTEGERS N1,N2,...,N5, NOT NECESSARILY DISTINCT, AND TMAX .LE. TTOP, FOR SOME DESIRED UPPER BOUND, TTOP, WHERE KCT IS THE CADENCE OR NUMBER OF ELAPSED STAR INDICES IN BASE.INP OVER WHICH THE FILTERING CRITERION SHOULD OCCUR , IMAX IS THE FINAL STAR EVENT INDEX, II IS THE FINAL OCCURRENCE INDEX FOR INTERSECTIONS, AND MAX IS THE LARGEST INDEX DISPLACEMENT. STAT1799 IS A VARIANT/HYBRID OF STAT1790, EXECUTING UNTIL AN EXHAUSTIVE SEARCH IS COMPLETED FOR QUALIFYING BLOCKS OF K0-ELEMENT EVENTS, MAKING STAT1799 AS TERSE AS DESIRED. STAT1799 IS ANOTHER TEST EVENT VERSION OF STAT1273, AS WELL AS A VARIANT OF STAT1268. HOWEVER, PRINTED OUTPUT IS SUPPRESSED TO ALLOW FOR EXTENSIVE PROCESSING, MAKING STAT1799 AS TERSE AS DESIRED. CF. ALSO STAT1725 FOR FILTERING [*]-QUALIFIED EVENTS IF, AND ONLY IF, THE CRITERION [ IMAX + 1 ] (MOD KCT) = EITHER 0 OR 1 IS SATISFIED. CF. ALSO STAT1790. ======================================================================== -- L 1800 -- ( PREDICTING FUTURE INTERSECTIONS FOR AN EXTENDED BLOCK OF TEST EVENTS WHICH ARE READ CYCLICALLY READ FROM A FIXED INPUT FILE ) XXXXXX STAT1800 READS A VERY LARGE SEQUENCE OF K0-ELEMENT EVENTS FROM STAT1800.INP, E.G., WITH BLOCK-SIZE EXCEEDING 10,000 OR MORE AND ALSO READS A SEQUENCE OF BMAX K0-ELEMENT STAR EVENTS FROM BASE.INP. NON-OVERLAPPING BMAX-EVENT BLOCKS OF K0-ELEMENT EVENTS ARE INTERSECTED WITH EACH EVENT IN THE SEQUENCE OF STAR EVENTS READ FROM FILE BASE.INP. STAT1800 IS AUTOMATICALLY TERMINATED WHEN A SEQUENCE OF TEST EVENTS IS READ WHICH QUALIFIES AS A HIGH-PROBABILITY SEQUENCE. THE ROUTINE ALSO FLAGS THE ELEMENTS OF A DESIRED RANGE OF STAR EVENTS AS THEY OCCUR AMONG THE ELEMENTS OF EACH TEST EVENT. MOREOVER, OUTPUT TEST EVENTS ARE PRINTED IN THE FILE STAT94.INP FOR FUTURE USE BY OTHER ROUTINES. MOREOVER, THE NUMBER AND PERCENTAGE OF 0's , 1's, 2's, 3's, 4's, ... , K0's ARE COMPUTED AS DETERMINED CARDINALITIES OF INTERSECTION NUMBERS BETWEEN TEST EVENTS AND EACH EVENT IN THE RANGE OF SELECTED STAR EVENTS. A CONFIGURATION MATRIX IS GENERATED WHICH INDICATES THE ELEMENTS IN COMMON BETWEEN TEST EVENTS AND THE DESIRED RANGE OF SUCCESSIVE STAR EVENTS. THE ROUTINE ALSO PREDICTS THE NEXT SUCCESSFUL INTERSECTION INDEX BETWEEN A STAR EVENT AND THE GENERATED BLOCK OF TEST EVENTS. A CYCLICALLY SELECTED BLOCK OF K0-ELEMENT OUTPUT EVENTS IS [*]- QUALIFIED IF, AND ONLY IF, | IMAX+1 - H(II) - KCT | .LE. Q0 , WHERE KCT IS THE CADENCE OR NUMBER OF ELAPSED STAR INDICES OVER WHICH THE FILTERING CRITERION SHOULD OCCUR , IMAX IS THE FINAL STAR EVENT INDEX, II IS THE FINAL OCCURRENCE INDEX FOR INTERSECTIONS, AND MAX IS THE LARGEST INDEX DISPLACEMENT. STAT1800 IS A VARIANT/HYBRID OF STAT1725, EXECUTING UNTIL AN EXHAUSTIVE SEARCH IS COMPLETED FOR QUALIFYING BLOCKS OF K0-ELEMENT EVENTS, MAKING STAT1800 AS TERSE AS DESIRED. STAT1800 IS ANOTHER TEST EVENT VERSION OF STAT1273, AS WELL AS A VARIANT OF STAT1268. HOWEVER, PRINTED OUTPUT IS SUPPRESSED TO ALLOW FOR EXTENSIVE PROCESSING, MAKING STAT1800 AS TERSE AS DESIRED. CF. ALSO STAT1725 FOR FILTERING [*]-QUALIFIED EVENTS IF, AND ONLY IF, THE CRITERION | IMAX + 1 - H(II) - KCT | .LE. Q0 IS SATISFIED. CF. STAT1790 AND STAT1811. HIGH-PROBABILITY EVENTS ARE GENERATED INTO STAT94.IN3. ======================================================================== -- L 1801 -- ( PREDICTING FUTURE INTERSECTIONS FOR AN EXTENDED BLOCK OF TEST EVENTS WHICH ARE READ CYCLICALLY READ FROM A FIXED INPUT FILE ) XXXXXXXVI STAT1801 READS A VERY LARGE SEQUENCE OF K0-ELEMENT EVENTS FROM STAT1801.INP, E.G., WITH BLOCK-SIZE EXCEEDING 10,000 OR MORE AND ALSO READS A SEQUENCE OF BMAX K0-ELEMENT STAR EVENTS FROM BASE.INP. CYCLICAL BMAX-EVENT BLOCKS OF K0-ELEMENT EVENTS ARE INTERSECTED WITH EACH EVENT IN THE SEQUENCE OF STAR EVENTS READ FROM FILE BASE.INP. STAT1801 IS AUTOMATICALLY TERMINATED WHEN A SEQUENCE OF TEST EVENTS IS READ WHICH QUALIFIES AS A HIGH-PROBABILITY SEQUENCE. THE ROUTINE ALSO FLAGS THE ELEMENTS OF A DESIRED RANGE OF STAR EVENTS AS THEY OCCUR AMONG THE ELEMENTS OF EACH TEST EVENT. MOREOVER, OUTPUT TEST EVENTS ARE PRINTED IN THE FILE STAT94.INP FOR FUTURE USE BY OTHER ROUTINES. MOREOVER, THE NUMBER AND PERCENTAGE OF 0's , 1's, 2's, 3's, 4's, ... , K0's ARE COMPUTED AS DETERMINED CARDINALITIES OF INTERSECTION NUMBERS BETWEEN TEST EVENTS AND EACH EVENT IN THE RANGE OF SELECTED STAR EVENTS. A CONFIGURATION MATRIX IS GENERATED WHICH INDICATES THE ELEMENTS IN COMMON BETWEEN TEST EVENTS AND THE DESIRED RANGE OF SUCCESSIVE STAR EVENTS. THE ROUTINE ALSO PREDICTS THE NEXT SUCCESSFUL INTERSECTION INDEX BETWEEN A STAR EVENT AND THE GENERATED BLOCK OF TEST EVENTS. A CYCLICALLY SELECTED BLOCK OF K0-ELEMENT OUTPUT EVENTS IS [*]- QUALIFIED IF, AND ONLY IF, KCT .LE. Q0, FOR SOME INTEGER Q0 AND KCT IS THE CADENCE OR NUMBER OF ELAPSED STAR INDICES IN BASE.INP OVER WHICH THE FILTERING CRITERION SHOULD OCCUR , IMAX IS THE FINAL STAR EVENT INDEX, II IS THE FINAL OCCURRENCE INDEX FOR INTERSECTIONS, AND MAX IS THE LARGEST INDEX DISPLACEMENT. STAT1801 IS A VARIANT/HYBRID OF STAT1800, EXECUTING UNTIL AN EXHAUSTIVE SEARCH IS COMPLETED FOR QUALIFYING BLOCKS OF K0-ELEMENT EVENTS, MAKING STAT1801 AS TERSE AS DESIRED. STAT1801 IS ANOTHER TEST EVENT VERSION OF STAT1273, AS WELL AS A VARIANT OF STAT1268. HOWEVER, PRINTED OUTPUT IS SUPPRESSED TO ALLOW FOR EXTENSIVE PROCESSING, MAKING STAT1801 AS TERSE AS DESIRED. CF. ALSO STAT1725 FOR FILTERING [*]-QUALIFIED EVENTS IF, AND ONLY IF, THE CRITERION [ IMAX + 1 ] (MOD KCT) = EITHER 0 OR 1 IS SATISFIED. CF. ALSO STAT1790 AND STAT1800. ======================================================================== -- L 1802 -- ( FILTRATION OF A BLOCK OF K0-ELEMENT EVENTS FROM A FIXED SEQUENCE BY MEANS OF A SELECTED INDEX OCCURRENCE CADENCE ) XXXXXXXIV STAT1802 READS A LARGE SEQUENCE OF K0-ELEMENT LEXICOGRAPHIC EVENTS IN STAT1802.INP AND A SEQUENCE OF IMAX K0-ELEMENT STAR EVENTS FROM BASE.INP. A K0-ELEMENT BLOCK OF EVENTS IS SELECTED AS [*]-QUALIFIED IF THE INDEX OCCURRENCE CADENCE, TMAX, EQUALS A DESIRED VALUE, TTOP. AT THIS INSTANT, THE CYCLICAL FILTRATION PROCESS IS TERMINATED. A SELECTED STAR EVENT OR SEQUENCE OF STAR EVENTS IS THEN INTERSECTED WITH EACH TEST EVENT GENERATED FROM THE ABOVE CYCLICAL PROCESS. 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. STAT1802 IS A VARIANT OF STAT1798, TACITLY GENERATING A SEQUENCE OF HIGH-PROBABILITY TEST EVENTS IN STAT1802.OUT AND STAT94.INP. A CUMULATIVE FILE OF [*]-QUALIFIYING EVENTS IS GENERATED IN STAT94.IN2. HOWEVER, ELEMENTS ARE NOT INTERCHANGED BETWEEN PAIRS OF EVENTS. ===================================================================== -- L 1803 -- (RE-FORMATTING THE K0-ELEMENTS OF STAR EVENTS IN LEXICOGRAPHIC ORDER) STAT1803 READS A FIXED BLOCK OF IMAX K0-ELEMENT TEST EVENTS FROM BASE.INP AND RE-FORMATS THEM IN LEXICOGRAPHIC ORDER IN BASE.OUT AS FORMAT(5(I4),44X,A8) OR FORMAT(6(I4),40X,A8). THE EXPECTED INPUT FORMAT IS ( A8,7(1X,I2) ) OR ( A8,7(I2,1X) ) OR ( A8,7(1X,I3) ) OR ( 6(I4),40X,A8 ) OR ( 5(I4),44X,A8 ) OR ( A8,3X,7(I2,1X) ). THIS FORMAT MAY BE RE-PROGRAMMED, AS DESIRED. CF. ALSO STAT1477 AND STAT1811. ===================================================================== -- L 1804 -- I ( FILTRATION OF A BLOCK OF K0-ELEMENT EVENTS FROM A FIXED SEQUENCE BY MEANS OF PRESCRIBED INTERSECTION FREQUENCIES ) STAT1804 READS A LARGE SEQUENCE OF K0-ELEMENT LEXICOGRAPHIC EVENTS IN STAT1804.INP AND A SEQUENCE OF IMAX K0-ELEMENT STAR EVENTS FROM BASE.INP. A K0-ELEMENT BLOCK OF EVENTS IS SELECTED AS [*]-QUALIFIED IF THE FREQUENCIES OF [3]s , [4]s and [5]s VS. THE STAR SEQUENCE OF EVENTS EXCEED DESIRED MINIMUM VALUES SELECTED BY THE ANALYST. AT THIS INSTANT, THE CYCLICAL FILTRATION PROCESS IS TERMINATED. A SELECTED STAR EVENT OR SEQUENCE OF STAR EVENTS IS THEN INTERSECTED WITH EACH TEST EVENT GENERATED FROM THE ABOVE CYCLICAL PROCESS. 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. STAT1804 IS A VARIANT OF STAT1802, TACITLY GENERATING A SEQUENCE OF HIGH-PROBABILITY TEST EVENTS IN STAT1804.OUT AND STAT94.INP. A CUMULATIVE FILE OF [*]-QUALIFIYING EVENTS IS GENERATED IN STAT94.IN2. HOWEVER, ELEMENTS ARE NOT INTERCHANGED BETWEEN PAIRS OF EVENTS. ===================================================================== -- L 1805 -- ( FILTRATION OF A BLOCK OF K0-ELEMENT EVENTS FROM A FIXED SEQUENCE BY MEANS OF PRESCRIBED INTERSECTION FREQUENCIES ) II STAT1805 READS A LARGE SEQUENCE OF K0-ELEMENT LEXICOGRAPHIC EVENTS IN STAT1805.INP AND A SEQUENCE OF IMAX K0-ELEMENT STAR EVENTS FROM BASE.INP. A K0-ELEMENT BLOCK OF EVENTS IS SELECTED AS [*]-QUALIFIED IF THE FREQUENCIES OF [3]s , [4]s or [5]s VS. THE STAR SEQUENCE OF EVENTS EXCEED DESIRED MINIMUM VALUES SELECTED BY THE ANALYST. AT THIS INSTANT, THE CYCLICAL FILTRATION PROCESS IS TERMINATED. A SELECTED STAR EVENT OR SEQUENCE OF STAR EVENTS IS THEN INTERSECTED WITH EACH TEST EVENT GENERATED FROM THE ABOVE CYCLICAL PROCESS. 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. STAT1805 IS A VARIANT OF STAT1804, TACITLY GENERATING A SEQUENCE OF HIGH-PROBABILITY TEST EVENTS IN STAT1805.OUT AND STAT94.INP. HOWEVER, UNIONS, RATHER THAN INTERSECTIONS OF FREQUENCIES OF [3]s, [4]s, and [5]s, ARE UTILIZED IN FILTERING BLOCKS OF EVENTS. A CUMULATIVE FILE OF [*]-QUALIFIYING EVENTS IS GENERATED IN STAT94.IN2. HOWEVER, ELEMENTS ARE NOT INTERCHANGED BETWEEN PAIRS OF EVENTS. ===================================================================== -- L 1806 -- ( GENERATION OF HOMOGENEOUS INCREMENTAL EVENTS FROM FIXED ELEMENTS ) STAT1806 READS A SEQUENCE OF BMAX K0-ELEMENT INCREMENTS FROM STAT1806.INP. A DESIRED RANGE OF INITIAL ELEMENTS ARE UTILIZED WITH EACH EVENT OF STAT1806.INP TO GENERATE A VIRAL SEQUENCE OF INCREMENTAL EVENTS FOR FUTURE USE AS STAT1807.INP. ===================================================================== -- L 1807 -- ( GENERATING A SEQUENCE OF HOMOGENEOUS EVENTS FROM LINEAR COMBINATIONS OF K0-ELEMENT INCREMENT EVENTS ) STAT1807 READS A SEQUENCE OF BMAX K0-ELEMENT INCREMENT EVENTS FROM STAT1807.INP, A SEQUENCE OF CMAX K0-ELEMENT COEFFICNENT EVENTS FROM STAT1807.IN2 AND A SEQUENCE OF IMAX K0-ELEMENT STAR EVENTS FROM BASE.INP. THE INPUT SEQUENCES OF EVENTS ARE UTILIZED TO AUTOMATICALLY GENERATE LINEAR COMBINATIONS OF K0 ELEMENTS WHICH ARE ADDED TO THE CORRESPONDING K0 ELEMENTS OF THE FINAL STAR EVENT IN BASE.INP. 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. STAT1807 IS A VARIANT OF STAT1004, GENERATING A FIXED SEQUENCE OF HIGH-PROBABILITY TEST EVENTS IN STAT1807.OUT AND STAT94.INP. CF. STAT1806 FOR GENERATION OF STAT1807.INP. ===================================================================== -- L 1808 -- ( GENERATING A SEQUENCE OF HOMOGENEOUS EVENTS FROM SELECTED ROWS OF K0-ELEMENT EVENTS ) STAT1808 READS A SEQUENCE OF BMAX K0-ELEMENT ROW INDEX EVENTS FROM STAT1808.INP, A [K0 x K0]-DIMENSIONAL ARRAY IN PERM.INP, GENERATED AS PERM.OUT FROM STAT1033, AND A SEQUENCE OF IMAX STAR EVENTS FROM BASE.INP. THE INPUT SEQUENCES OF EVENTS ARE UTILIZED TO AUTOMATICALLY GENERATE K0-ELEMENT EVENTS FROM SELECTED ROWS OVER K0 COLUMNS OR TO GENERATE K0-ELEMENT EVENTS FROM SELECTED COLUMNS OVER K0 ROWS. 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. STAT1808 IS A VARIANT OF STAT1807, GENERATING A FIXED SEQUENCE OF HIGH-PROBABILITY TEST EVENTS IN STAT1808.OUT AND STAT94.INP. CF. STAT1806 FOR GENERATION OF STAT1808.INP. ===================================================================== -- L 1809 -- MONITOR MATRIX GENERATOR XXXII FREQUENCY COUNTS FOR A SEQUENCE OF ELEMENTS < 1 , 2, ... , L0 > VS. A SEQUENCE OF STAR EVENTS II READS A SEQUENCE OF IMAX STAR EVENTS DEFINED ON THE ELEMENTS IN THE SET T = < 1, 2, ... , L0 > DETERMINES A (0,1) - OCCURRENCE MATRIX FOR EACH OF THE L0 ELEMENTS OF THE SET T, THE RELATIVE FREQUENCY OF EACH ELEMENT IN T, AND DETERMINES A PROJECTED SEQUENCE OF ELEMENTS FROM T IN PERM.OUT, WHICH ARE HIGHLY LIKELY TO OCCUR IN THE NEXT K0-ELEMENT STAR EVENT OF BASE.INP. STAT1809 IS A VARIANT OF STAT1032, 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 ELEMENT L HAS OCCURRED OVER THE LAST K EVENTS, WHERE THE FREQUENCY CADENCE OF ELEMENT L IS ( 1 / K ) . THE TRANSLATION PARAMETER X0 IS SUBTRACTED FROM THE LEFT END-POINT OF THE LAST Q0-1 FAILURES OF PROPERTY P OVER THE IMAX STAR EVENTS. STAT1809 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. STAT1809 IS A VARIANT OF STAT1032, BUT PROCESSING ALL K0 COLUMNS OF BASE.INP SIMULTANEOUSLY. CF. ALSO STAT1032 AND STAT1033. ===================================================================== -- L 1810 -- MONITOR MATRIX GENERATOR XXXXX FREQUENCY COUNTS FOR A LARGE SEQUENCE OF K0-ELEMENT TEST EVENTS VS. A SEQUENCE OF STAR EVENTS READS A SEQUENCE OF IMAX STAR EVENTS ON THE ELEMENTS ON THE ELEMENTS IN T = < 1, 2, ... , L0 > , A LARGE SEQUENCE OF K0-ELEMENT EVENTS IN STAT1810.INP, AND A SEQUENCE OF DMAX K0-ELEMENT TRANSLATION EVENTS IN STAT1810.IN2, DETERMINING A (0,1)-FREQUENCY OCCURRENCE MATRIX FOR EACH EVENT IN A LARGE SEQUENCE OF K0-ELEMENT EVENTS VS. THE ENTIRE SEQUENCE OF IMAX STAR EVENTS, THUS DETERMINING AND FILTERING THE EVENTS FROM STAT1810.INP WHICH ARE MOST LIKELY TO OCCUR AS THE NEXT STAR EVENT IN BASE.INP. ARE HIGHLY LIKELY TO OCCUR IN THE NEXT K0-ELEMENT STAR EVENT STAT1810 IS A VARIANT OF STAT1809, ANALYZING EACH INPUT EVENT VS. THE BLOCK OF STAR EVENTS, RATHER THAN ELEMENTS OF < 1, 2, ... , L0 >. TEST EVENTS FROM STAT1810 ARE FILTERED AS [*]-QUALIFIED IF IT FAILS TO HAVE A DESIRED INTERSECTION FREQUENCY VS. THE IMAX STAR EVENTS OVER THE LAST K STAR EVENTS, WHERE THE FREQUENCY CADENCE OF THE THE FILTERED TEST EVENT HAS BEEN DETERMINED TO BE ( 1 / K ). THE TRANSLATION PARAMETER X0 IS SUBTRACTED FROM THE LEFT END-POINT OF THE LAST Q0-1 FAILURES OF PROPERTY P OVER THE IMAX STAR EVENTS. STAT1810 READS UP TO 100 STAR EVENTS IN BASE.INP AND ANALYZES A VERY LARGE NUMBER OF TEST EVENTS IN STAT1810.INP. CF. ALSO STAT1809, STAT1032, STAT1033, STAT893, STAT894, STAT899, AND STAT933. STAT1810 IS A VARIANT OF STAT1809. A FILE OF [*]-QUALIFYING EVENTS IS RECORDED IN CUMULAT.OUT. CF. ALSO STAT2405 FOR PERMUATION VERSION./ CF. STAT1149 FOR GENERATION OF STAT1810.INP AS STAT1149.OT3 OR AS / / STAT94.INP. CF. ALSO STAT1149 AND STAT1145 FOR GENERATION OF / / STAT1810.INP AS STAT1149.OT3 OR STAT94.INP. ===================================================================== -- L 1811 -- (RE-FORMATTING A SEQUENCE OF TEST EVENTS TO INCLUDE A POWER ELEMENT) STAT1811 READS A FIXED BLOCK OF IMAX K0-ELEMENT TEST EVENTS FROM STAT1811.INP AND A SEQUENCE OF IMAX K0-ELEMENT STAR EVENTS FROM BASE.INP AND RE-FORMATS THE TEST EVENTS TO A NEW FORMAT IN BOTH STAT1811.OUT AND STAT94.INP, INCLUDING A POWER ELEMENT HAVING A DESIRED MAXIMUM MODULUS. THE POWER ELEMENT IS DETERMINED BY SELECTING THE ELEMENT, A(I,3)+M0, FROM COLUMN 3 OF EACH TEST EVENT AND ADJUSTING IT (MOD KMAX) FOR SOME DESIRED INTEGER KMAX AND SOME DESIRED TRANSLATION ELEMENT, M0, SELECTED BY THE ANALYST. THIS FORMAT MAY BE RE-PROGRAMMED, AS DESIRED. CF. STAT1477 AND STAT1803. ===================================================================== -- L 1812 -- GENERATION OF HIGH-PROBABILITY PERMUTATIONS FROM A FIXED SEQUENCE BY TAKING TRANSPOSITIONS OF EVERY POSSIBLE PAIR OF ELEMENTS ( MOD L0 ) STAT1812 READS A SEQUENCE OF Q0-ELEMENT SETS ON <0,1,...,9> IN PERM.INP AND A SET OF IMAX K0-ELEMENT STAR EVENTS FROM BASE.INP. A SEQUENCE OF HIGH-PROBABILITY ELEMENTS IS GENERATED BY TAKING TRANSPOSITIONS OF EVERY POSSIBLE PAIR OF ELEMENTS ( MOD L0 ), WHERE L0 IS THE MAXIMUM ELEMENT MODULUS. THE ROUTINE FLAGS ELEMENTS OF A DESIRED RANGE OF STAR EVENTS AS THEY OCCUR AMONG THE ELEMENTS OF EACH PERMUTATION. OUTPUT TEST EVENTS ARE PRINTED IN THE FILE PERM.OUT 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 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 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 PERMUTATIONS. STAT1812 IS A VARIANT OF STAT1763, TACITLY GENERATING A SEQUENCE OF HIGH-PROBABILITY TEST EVENTS IN STAT1812.OUT AND PERM.OUT. A CUMULATIVE FILE OF PERMUTATIONS IS GENERATED INTO PERM2.OUT. STAT1812 IS ALSO A PERMUTATION VERSION OF STAT1483. ===================================================================== -- L 1813 -- GENERATION OF K0-ELEMENT EVENTS FROM TRANSLATIONS OF ELEMENTS FROM SEQUENCES OF K0-ROW BLOCKS OF PERMUTATIONS OF VARIOUS SIZES READS A SEQUENCE OF IMAX STAR EVENTS ON THE ELEMENTS ON THE ELEMENTS IN T = < 1, 2, ... , L0 > , A SEQUENCE OF K0-ROW BLOCKS OF PERMUTATIONS OF VARIOUS SIZES FROM PERM.INP, A BLOCK OF BMAX K0-ELEMENT TRANSLATION EVENTS FROM STAT1813.INP, AND A SEQUENCE OF CMAX K0-ELEMENT TRANSLATION EVENTS IN STAT1813.INP. THE INPUT SETS ARE UTILIZED TO GENERATE HIGH-PROBABILITY K0-ELEMENT EVENTS. STAT1813 IS A VARIANT OF STAT1032, ANALYZING PERM.INP GENERATED FROM STAT1032 AS PERM.OUT. CF. STAT1032. STAT1813 READS UP TO 100 STAR EVENTS IN BASE.INP AND UP TO 1000 TRANSLATION EVENTS IN STAT1813.INP, AND ANALYZES ELEMENTS IN THE RANGE < 1, ... , L0 >, WHERE THE MAXIMUM VALUE OF L0 IS 54. CF. ALSO STAT893, STAT894, STAT899, AND STAT933. A CUMULATIVE FILE FILE OF QUALIFYING PERMUTATION ELEMENTS IS GENERATED IN PERM2.OUT. A SEQUENCE OF K0-ELEMENT QUALIFYING EVENTS IS GENERATED IN STAT94.INP AND STAT94.IN2. ===================================================================== -- L 1814 -- ( GENERATING K0-ELEMENT EVENTS FROM A SEQUENCE BY SELECTING A FIXED PAIR, A 2ND FIXED PAIR, AND A 3RD FIXED PAIR OF ELEMENTS FROM CONSECUTIVE TRIADS OF EVENTS ) XXXXXIX STAT1814 READS A SEQUENCE OF BMAX K0-ELEMENT TEST EVENTS FROM STAT1814.INP AND A SEQUENCE OF IMAX K0-ELEMENT STAR EVENTS FROM BASE.INP. K0-ELEMENT EVENTS ARE GENERATED FROM STAT1814.INP BY SELECTING A FIXED PAIR, A 2ND FIXED PAIR, AND A 3RD FIXED PAIR OF ELEMENTS FROM CONSECUTIVE TRIADS OF EVENTS OVER ALL BMAX EVENTS. A SELECTED STAR EVENT OR SEQUENCE OF STAR EVENTS IS THEN INTERSECTED WITH EACH GENERATED TEST EVENT FOR UP TO 400 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. STAT1814 IS A VARIANT OF STAT1755, TACITLY GENERATING A SEQUENCE OF HIGH-PROBABILITY TEST EVENTS IN STAT1814.OUT AND STAT94.INP. NOT ALL SELECTED SUB-STRINGS FROM STAT1814.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 SEQUENCE OF VECTORS SELECTED BY THE ANALYST, I.E. , < M1, M2, M3, M4, ... , M10 > ( MOD T) , FOR KTOP DESIRED INTEGERS T AND SOME DESIRED SEQUENCE OF POSITIVE INTEGERS : M1, M2, M3, M4, M5, M6,M7, M8, M9, AND M10 (NOT NECESSARILY DISTINCT). INPUT EVENTS FROM STAT1814.INP ARE, OPTIONALLY, INCLUDED AS OUTPUT. ===================================================================== -- L 1815 -- ( GENERATING K0-ELEMENT EVENTS FROM A SEQUENCE BY CYCLICALLY SELECTING A (K0-1)-ELEMENT STRING UNION A SEQUENCE OF ALL 1-ELEMENT STRINGS FROM THE SUCCEEDING OR PRECEDING V0 INPUT EVENTS ) XXXXXX STAT1815 READS A SEQUENCE OF BMAX K0-ELEMENT TEST EVENTS FROM STAT1815.INP AND A SEQUENCE OF IMAX K0-ELEMENT STAR EVENTS FROM BASE.INP. K0-ELEMENT EVENTS ARE GENERATED FROM STAT1815.INP BY CYCLICALLY SELECTING A (K0-1)-ELEMENT STRING UNION A SEQUENCE OF ALL 1-ELEMENT STRINGS FROM THE SUCCEEDING OR PRECEDING V0 INPUT EVENTS. A SELECTED STAR EVENT OR SEQUENCE OF STAR EVENTS IS THEN INTERSECTED WITH EACH GENERATED TEST EVENT FOR UP TO 400 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. STAT1815 IS A VARIANT OF STAT1814, TACITLY GENERATING A SEQUENCE OF HIGH-PROBABILITY TEST EVENTS IN STAT1815.OUT AND STAT94.INP. NOT ALL SELECTED SUB-STRINGS FROM STAT1815.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 SEQUENCE OF VECTORS SELECTED BY THE ANALYST, I.E. , < M1, M2, M3, M4, ... , M10 > ( MOD T) , FOR KTOP DESIRED INTEGERS T AND SOME DESIRED SEQUENCE OF POSITIVE INTEGERS : M1, M2, M3, M4, M5, M6,M7, M8, M9, AND M10 (NOT NECESSARILY DISTINCT). INPUT EVENTS FROM STAT1815.INP ARE, OPTIONALLY, INCLUDED AS OUTPUT. ===================================================================== -- L 1816 -- ( GENERATING K0-ELEMENT EVENTS FROM A SEQUENCE BY CYCLICALLY EITHER SELECTING A (K0-2)-ELEMENT STRING UNION A SEQUENCE OF ALL 2-ELEMENT STRINGS OR A (K0-3)-ELEMENT STRING UNION A SEQUENCE OF ALL 3-ELEMENT STRINGS FROM THE SUCCEEDING OR PRECEDING V0 INPUT EVENTS ) XXXXXXI STAT1816 READS A SEQUENCE OF BMAX K0-ELEMENT TEST EVENTS FROM STAT1816.INP AND A SEQUENCE OF IMAX K0-ELEMENT STAR EVENTS FROM BASE.INP. K0-ELEMENT EVENTS ARE GENERATED FROM STAT1816.INP BY CYCLICALLY SELECTING EITHER A (K0-2)-ELEMENT STRING UNION A SEQUENCE OF ALL 2-ELEMENT STRINGS IF K0 = 5 OR A (K0-3)-ELEMENT STRING UNION A SEQUENCE OF ALL 3-ELEMENT STRINGS IF K0 = 6 THE V0 SUCCEEDING OR PRECEDING INPUT EVENTS. AT THE NEXT STEP, A SELECTED STAR EVENT OR SEQUENCE OF STAR EVENTS IS THEN INTERSECTED WITH EACH GENERATED TEST EVENT FOR UP TO 400 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. STAT1816 IS A VARIANT OF STAT1815, TACITLY GENERATING A SEQUENCE OF HIGH-PROBABILITY TEST EVENTS IN STAT1816.OUT AND STAT94.INP. NOT ALL SELECTED SUB-STRINGS FROM STAT1816.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 SEQUENCE OF VECTORS SELECTED BY THE ANALYST, I.E. , < M1, M2, M3, M4, ... , M10 > ( MOD T) , FOR KTOP DESIRED INTEGERS T AND SOME DESIRED SEQUENCE OF POSITIVE INTEGERS : M1, M2, M3, M4, M5, M6,M7, M8, M9, AND M10 (NOT NECESSARILY DISTINCT). INPUT EVENTS FROM STAT1816.INP ARE, OPTIONALLY, INCLUDED AS OUTPUT. ===================================================================== -- L 1817 -- (GENERATING K0-ELEMENT EVENTS FROM ALL ADJACENT PAIRS OF A SEQUENCE BY SELECTING EITHER THE LOWER, UPPER, OR MEAN OF EACH PAIR OF THE K0 ELEMENTS IN EACH ONE OF THE K0 COLUMNS OVER ALL EVENTS) XXXXXXII STAT1817 READS A SEQUENCE OF BMAX K0-ELEMENT TEST EVENTS FROM STAT1817.INP AND A SEQUENCE OF IMAX K0-ELEMENT STAR EVENTS FROM BASE.INP. K0-ELEMENT EVENTS ARE GENERATED FROM STAT1817.INP BY CYCLICALLY SELECTING EITHER THE LOWER, UPPER, OR MEAN OF EACH PAIR OF THE K0 ELEMENTS IN EACH ONE OF THE K0 COLUMNS OVER ALL ADJACENT PAIRS OF EVENTS FROM STAT1817.INP. DURING THE NEXT STEP, A SELECTED STAR EVENT OR SEQUENCE OF STAR EVENTS IS THEN INTERSECTED WITH EACH GENERATED TEST EVENT FOR UP TO 400 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. STAT1817 IS A VARIANT OF STAT1816, TACITLY GENERATING A SEQUENCE OF HIGH-PROBABILITY TEST EVENTS IN STAT1817.OUT AND STAT94.INP. NOT ALL SELECTED SUB-STRINGS FROM STAT1817.INP ARE CONTIGUOUS. GENERATED EVENTS ARE FILTERED BY SELECTING ONLY THOSE TEST EVENTS FROM THE SEQUENCE WITH INDICES WHICH ARE CONGRUENT TO AN ELEMENT OF A SEQUENCE OF VECTORS SELECTED BY THE ANALYST, I.E. , < M1, M2, M3, M4, ... , M10 > ( MOD T) , FOR KTOP DESIRED INTEGERS T AND SOME DESIRED SEQUENCE OF POSITIVE INTEGERS : M1, M2, M3, M4, M5, M6,M7, M8, M9, AND M10 (NOT NECESSARILY DISTINCT). INPUT EVENTS FROM STAT1817.INP ARE, OPTIONALLY, INCLUDED AS OUTPUT. ===================================================================== -- L 1818 -- (GENERATING K0-ELEMENT EVENTS FROM ALL BIPARTITE PAIRS OF A SEQUENCE BY SELECTING EITHER THE LOWER, UPPER, OR MEAN OF EACH PAIR OF THE K0 ELEMENTS IN EACH ONE OF THE K0 COLUMNS OVER ALL EVENTS) XXXXXXII STAT1818 READS A SEQUENCE OF BMAX K0-ELEMENT TEST EVENTS FROM STAT1818.INP AND A SEQUENCE OF IMAX K0-ELEMENT STAR EVENTS FROM BASE.INP. K0-ELEMENT EVENTS ARE GENERATED FROM STAT1818.INP BY CYCLICALLY SELECTING EITHER THE LOWER, UPPER, OR MEAN OF EACH PAIR OF THE K0 ELEMENTS IN EACH ONE OF THE K0 COLUMNS OVER ALL BIPARTITE PAIRS OF EVENTS FROM STAT1818.INP. DURING THE NEXT STEP, A SELECTED STAR EVENT OR SEQUENCE OF STAR EVENTS IS THEN INTERSECTED WITH EACH GENERATED TEST EVENT FOR UP TO 400 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. STAT1818 IS A VARIANT OF STAT1817, TACITLY GENERATING A SEQUENCE OF HIGH-PROBABILITY TEST EVENTS IN STAT1818.OUT AND STAT94.INP. NOT ALL SELECTED SUB-STRINGS FROM STAT1818.INP ARE CONTIGUOUS. GENERATED EVENTS ARE FILTERED BY SELECTING ONLY THOSE TEST EVENTS FROM THE SEQUENCE WITH INDICES WHICH ARE CONGRUENT TO AN ELEMENT OF A SEQUENCE OF VECTORS SELECTED BY THE ANALYST, I.E. , < M1, M2, M3, M4, ... , M10 > ( MOD T) , FOR KTOP DESIRED INTEGERS T AND SOME DESIRED SEQUENCE OF POSITIVE INTEGERS : M1, M2, M3, M4, M5, M6,M7, M8, M9, AND M10 (NOT NECESSARILY DISTINCT). INPUT EVENTS FROM STAT1818.INP ARE, OPTIONALLY, INCLUDED AS OUTPUT. ===================================================================== -- L 1819 -- (GENERATING K0-ELEMENT EVENTS FROM A SEQUENCE OF BMAX K0-ELEMENT EVENTS TRANSLATED BY A SEQUENCE OF CMAX K0-ELEMENT TRANSLATION EVENTS) XXXXXXIII STAT1819 READS A SEQUENCE OF BMAX K0-ELEMENT TEST EVENTS FROM STAT1819.INP, A SEQUENCE OF CMAX K0-ELEMENT TRANSLATION EVENTS IN STAT1819.IN2 AND A SEQUENCE OF IMAX K0-ELEMENT STAR EVENTS FROM BASE.INP. K0-ELEMENT EVENTS ARE GENERATED FROM STAT1819.INP BY CYCLICALLY TRANSLATING THE K0 ELEMENTS OF EACH K0-ELEMENT EVENT BY THE CORRESPONDING ELEMENT IN EACH OF THE CMAX TRANSLATION EVENTS. TRANSLATION EVENTS ARE JUDICIOUSLY CONSTRUCTED WITH A DESIRED PROPERTY, E.G., THE SUM OF THE K0 ELEMENTS PER EVENT EQUALS 0. A SELECTED STAR EVENT OR SEQUENCE OF STAR EVENTS IS THEN INTERSECTED WITH EACH GENERATED TEST EVENT FOR UP TO 400 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. STAT1819 IS A VARIANT OF STAT1818, TACITLY GENERATING A SEQUENCE OF HIGH-PROBABILITY TEST EVENTS IN STAT1819.OUT AND STAT94.INP. NOT ALL SELECTED SUB-STRINGS FROM STAT1819.INP ARE CONTIGUOUS. GENERATED EVENTS ARE FILTERED BY SELECTING ONLY THOSE TEST EVENTS FROM THE SEQUENCE WITH INDICES WHICH ARE CONGRUENT TO AN ELEMENT OF A SEQUENCE OF VECTORS SELECTED BY THE ANALYST, I.E. , < M1, M2, M3, M4, ... , M10 > ( MOD T) , FOR KTOP DESIRED INTEGERS T AND SOME DESIRED SEQUENCE OF POSITIVE INTEGERS : M1, M2, M3, M4, M5, M6,M7, M8, M9, AND M10 (NOT NECESSARILY DISTINCT). INPUT EVENTS FROM STAT1819.INP ARE, OPTIONALLY, INCLUDED AS OUTPUT. CF. ALSO STAT1511 AND STAT1054. ===================================================================== -- L 1820 -- ( FILTERING K0-ELEMENT EVENTS FROM A SEQUENCE OF BMAX K0-ELEMENT EVENTS WITH AN ELEMENT MATCHING AN ELEMENT OF AT LEAST ONE COLUMN OF EACH EVENT IN A SEQUENCE OF K0-ELEMENT EVENTS ) XXXXXXIV STAT1820 READS A SEQUENCE OF BMAX K0-ELEMENT TEST EVENTS FROM STAT1820.INP, A SEQUENCE OF CMAX K0-ELEMENT COMPARISON EVENTS IN STAT1820.IN2 AND A SEQUENCE OF IMAX K0-ELEMENT STAR EVENTS FROM BASE.INP. K0-ELEMENT EVENTS ARE FILTERED FROM STAT1820.INP FOR WHICH AN ELEMENT MATCHES AN ELEMENT OF AT LEAST ONE COLUMN OF EACH EVENT IN THE COMPARISON SEQUENCE OF STAT1829.IN2. A SELECTED STAR EVENT OR SEQUENCE OF STAR EVENTS IS THEN INTERSECTED WITH EACH GENERATED TEST EVENT FOR UP TO 400 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. STAT1820 IS A VARIANT OF STAT1819, TACITLY GENERATING A SEQUENCE OF HIGH-PROBABILITY TEST EVENTS IN STAT1820.OUT AND STAT94.INP. CF. ALSO STAT1511. ===================================================================== -- L 1821 -- (GENERATING K0-ELEMENT EVENTS FROM A SEQUENCE OF BMAX K0-ELEMENT EVENTS BY CONSTRUCTING THE COMPLEMENT RELATIVE TO L0 OF EACH OF THE K0 ELEMENTS) XXXXXXV STAT1821 READS A SEQUENCE OF BMAX K0-ELEMENT TEST EVENTS FROM STAT1821.INP AND A SEQUENCE OF IMAX K0-ELEMENT STAR EVENTS FROM BASE.INP. K0-ELEMENT EVENTS ARE GENERATED FROM STAT1821.INP BY CONSTRUCTING THE COMPLEMENT RELATIVE TO L0 OF EACH ELEMENT. A SELECTED STAR EVENT OR SEQUENCE OF STAR EVENTS IS THEN INTERSECTED WITH EACH GENERATED TEST EVENT FOR UP TO 400 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. STAT1821 IS A VARIANT OF STAT1818, TACITLY GENERATING A SEQUENCE OF HIGH-PROBABILITY TEST EVENTS IN STAT1821.OUT AND STAT94.INP. NOT ALL SELECTED SUB-STRINGS FROM STAT1821.INP ARE CONTIGUOUS. GENERATED EVENTS ARE FILTERED BY SELECTING ONLY THOSE TEST EVENTS FROM THE SEQUENCE WITH INDICES WHICH ARE CONGRUENT TO AN ELEMENT OF A SEQUENCE OF VECTORS SELECTED BY THE ANALYST, I.E. , < M1, M2, M3, M4, ... , M10 > ( MOD T) , FOR KTOP DESIRED INTEGERS T AND SOME DESIRED SEQUENCE OF POSITIVE INTEGERS : M1, M2, M3, M4, M5, M6,M7, M8, M9, AND M10 (NOT NECESSARILY DISTINCT). CF. ALSO STAT1511 AND STAT1819. ===================================================================== -- L 1822 -- READS A SEQUENCE OF PMAX PERMUTATIONS OF VARYING SIZES, A SEQUENCE OF CMAX Q0-ELEMENT INDEX EVENTS FROM STAT1822, AND A SEQUENCE OF IMAX STAR EVENTS FROM BASE.INP. THE Q0 ELEMENTS OF EACH INDEX EVENT, AUTOMATICALLY ADJUSTED ADJUSTED (MOD M0), ARE UTILIZED TO SELECT, FOR EACH INITIAL PERMUTATION, A SUBSEQUENCE OF PERMUTATIONS FROM WHICH ALL POSSIBLE K0-ELEMENT EVENTS ARE EXTRACTED INTO STAT94.INP FOR FUTURE USE. EACH NEW GENERATED PERMUTATION IS INTERSECTED WITH A DESIRED RANGE OF STAR EVENTS AND COMMON ELEMENTS ARE IDENTIFIED. THE GENERATED PERMUTATIONS ARE PRINTED IN PERM.OUT AND STAT1822.OUT. STAT1822 IS AN HYBRID OF STAT544 AND STAT545. ===================================================================== -- L 1823 -- ( GENERATING K0-ELEMENT EVENTS FROM A SEQUENCE OF BMAX K0-ELEMENT EVENTS BY CYCLICALLY CONSTRUCTING THE COMPLEMENT RELATIVE TO L0 OF EACH OF THE K0 ELEMENTS) XXXXXXVI STAT1823 READS A SEQUENCE OF BMAX K0-ELEMENT TEST EVENTS FROM STAT1823.INP AND A SEQUENCE OF IMAX K0-ELEMENT STAR EVENTS FROM BASE.INP. K0-ELEMENT EVENTS ARE GENERATED FROM STAT1823.INP BY CONSTRUCTING THE COMPLEMENT RELATIVE TO L0 OF EACH ELEMENT. THIS PROCESS IS CYCLICALLY REPEATED BY ADDITION OF ELEMENTS FROM = <1,2,3,...,L0> TO EACH ELEMENT OF EACH EVENT OF STAT1823.INP. A SELECTED STAR EVENT OR SEQUENCE OF STAR EVENTS IS THEN INTERSECTED WITH EACH GENERATED TEST EVENT FOR UP TO 400 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. STAT1823 IS A VARIANT OF STAT1821, TACITLY GENERATING A SEQUENCE OF HIGH-PROBABILITY TEST EVENTS IN STAT1823.OUT AND STAT94.INP, BUT IT HAS THE ADDITIONAL FEATURE OF CYCLICALLY ADDING ELEMENTS TO EACH OF THE ELEMENTS OF EACH INPUT EVENT IN STAT1823.INP. GENERATED EVENTS ARE FILTERED BY SELECTING ONLY THOSE TEST EVENTS FROM THE SEQUENCE WITH INDICES WHICH ARE CONGRUENT TO AN ELEMENT OF A SEQUENCE OF VECTORS SELECTED BY THE ANALYST, I.E. , < M1, M2, M3, M4, ... , M10 > ( MOD T) , FOR KTOP DESIRED INTEGERS T AND SOME DESIRED SEQUENCE OF POSITIVE INTEGERS : M1, M2, M3, M4, M5, M6,M7, M8, M9, AND M10 (NOT NECESSARILY DISTINCT). CF. ALSO STAT1511 AND STAT1819. ===================================================================== -- L 1824 -- ( RANKING OF K0-ELEMENT EVENTS BY WEIGHT-SUMS OF OCCURRENCE CADENCES OF ELEMENTS ) ( MULTIPLE PARADIGMS ) STAT1824 READS A SEQUENCE OF BMAX K0-ELEMENT TEST EVENTS FROM STAT1824.INP, A SEQUENCE OF CMAX L0-ELEMENT WEIGHT SUM EVENTS FROM PERM.INP, AND A SEQUENCE OF IMAX K0-ELEMENT STAR EVENTS FROM FILE BASE.INP. EACH EVENT IN PERM.INP IS UTILIZED TO FILTER A SEQUENCE OF HIGH-PROBABILITY EVENTS FROM STAT1824.INP BY DETERMINING THE CUMULATIVE WEIGHT SUM OF K0 ELEMENTS PER EVENT. THE WEIGHTS IN PERM.INP ARE GENERATED, E.G., BY STAT1222. THE BOTTOM, MIDDLE, OR TOP M0 EVENTS FROM EACH BLOCK IN STAT1222.INP ARE FILTERED, AS DESIRED FOR EACH INPUT PERMUTATION OF PERM.INP. A SELECTED STAR EVENT OR SEQUENCE OF STAR EVENTS IS THEN INTERSECTED WITH EACH FILTERED TEST EVENT FOR UP TO 400 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 FILTERED BLOCK OF TEST EVENTS. STAT1824 IS A VARIANT OF STAT1224, TACITLY GENERATING A SEQUENCE OF HIGH-PROBABILITY TEST EVENTS IN STAT1824.OUT AND STAT94.INP. A CUMULATIVE FILE OF EVENTS IS FILTERED INTO STAT94.IN2. CF. STAT1222, E.G., FOR GENERATION OF PERMUTATIONS FOR PERM.INP. CF. ALSO STAT64 FOR GENERATION OF PERMUTATIONS FOR PERM.INP. ===================================================================== -- L 1825 -- MONITOR MATRIX GENERATOR XXXXXX FREQUENCY COUNTS FOR A SEQUENCE OF ELEMENTS < 1 , 2, ... , L0 > VS. A SEQUENCE OF STAR EVENTS V READS A SEQUENCE OF BMAX CADENCES [ K1,K2,K3,K4 ] CADENCES IN STAT1825.INP, A SEQUENCE OF CMAX TRANSLATION EVENTS IN STAT1825.IN2 AND A SEQUENCE OF IMAX STAR EVENTS ON THE ELEMENTS ON THE ELEMENTS IN THE SEQUENCE T = < 1, 2, ... , L0 > DETERMINES A (0,1) - OCCURRENCE MATRIX FOR EACH OF THE L0 ELEMENTS OF THE SET T, THE RELATIVE FREQUENCY OF EACH ELEMENT IN T, AND DETERMINES A PROJECTED SEQUENCE OF ELEMENTS FROM T IN PERM.OUT, WHICH ARE HIGHLY LIKELY TO OCCUR IN THE NEXT K0-ELEMENT STAR EVENT OF BASE.INP. STAT1825 IS A VARIANT OF STAT1037, 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 ELEMENT L HAS OCCURRED OVER THE LAST K EVENTS, WHERE THE FREQUENCY CADENCE OF ELEMENT L IS ( 1 / K ) . A SEQUENCE OF DESIRED VALUES , [ K1 , K2 , K3 , K4 ] , IS READ ( NOT NECESSARILY DISTINCT ) FOR K IN THE EXPRESSION [ 1 / K ] , WHERE 1 / K <===> PROPERTY P Occurs Once Over Every K STAR EVENTS. ( THIS IS THE PRIMARY CRITERION FOR FILTERING QUALIFYING ELEMENTS INTO PERMUTATIONS OF PERM2.OUT ). CF. ALSO STAT1222 FOR ALTERNATE QUALIFICATION OF HIGH-PROBABILITY ELEMENTS IN < 1, 2, ... , L0 >. A TRANSLATION PARAMETER X0 IS SUBTRACTED FROM THE LEFT END-POINT OF THE LAST Q0 FAILURES OF PROPERTY P OVER THE IMAX STAR EVENTS. STAT1825 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. STAT1825 IS AN HYBRID OF STAT1032 AND STAT1222. A SEQUENCE OF OF HIGH-PROBABILITY K0-ELEMENT EVENTS IS GENERATED INTO STAT94.INP FROM OUTPUT PERMUTATIONS IN PERM.OUT. CF. ALSO STAT1033. CF. STAT1827 FOR GENERATING [ K1,K2,K3,K4 ] IN STAT1825.INP. ===================================================================== -- L 1826 -- (GENERATING K0-ELEMENT EVENTS FROM A SEQUENCE OF BMAX K0-ELEMENT EVENTS TRANSLATED BY A SEQUENCE OF CMAX K0-ELEMENT TRANSLATION EVENTS) XXXXXXVI STAT1826 READS A SEQUENCE OF BMAX K0-ELEMENT TEST EVENTS FROM STAT1826.INP, A SEQUENCE OF CMAX K0-ELEMENT TRANSLATION EVENTS IN STAT1826.IN2 AND A SEQUENCE OF IMAX K0-ELEMENT STAR EVENTS FROM BASE.INP. K0-ELEMENT EVENTS ARE GENERATED FROM STAT1826.INP BY CYCLICALLY TRANSLATING THE K0 ELEMENTS OF EACH K0-ELEMENT EVENT BY THE CORRESPONDING ELEMENT IN EACH OF THE CMAX TRANSLATION EVENTS. TRANSLATION EVENTS ARE JUDICIOUSLY CONSTRUCTED WITH A DESIRED PROPERTY, E.G., THE SUM OF THE K0 ELEMENTS PER EVENT EQUALS 0. A SELECTED STAR EVENT OR SEQUENCE OF STAR EVENTS IS THEN INTERSECTED WITH EACH GENERATED TEST EVENT FOR UP TO 400 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. STAT1826 IS A VARIANT OF STAT1819, TACITLY GENERATING A SEQUENCE OF HIGH-PROBABILITY TEST EVENTS IN STAT1826.OUT AND STAT94.INP. HOWEVER, CONSECUTIVE PAIRS OF INTERTWINED EVENTS ARE UTILIZED TO GENERATE HIGH-PROBABILITY EVENTS, RATHER THAN INITIAL INPUT EVENTS. GENERATED EVENTS ARE FILTERED BY SELECTING ONLY THOSE TEST EVENTS FROM THE SEQUENCE WITH INDICES WHICH ARE CONGRUENT TO AN ELEMENT OF A SEQUENCE OF VECTORS SELECTED BY THE ANALYST, I.E. , < M1, M2, M3, M4, ... , M10 > ( MOD T) , FOR KTOP DESIRED INTEGERS T AND SOME DESIRED SEQUENCE OF POSITIVE INTEGERS : M1, M2, M3, M4, M5, M6,M7, M8, M9, AND M10 (NOT NECESSARILY DISTINCT). INPUT EVENTS FROM STAT1826.INP ARE, OPTIONALLY, INCLUDED AS OUTPUT. CF. ALSO STAT1511. ===================================================================== -- L 1827 -- ( RANKING AND FILTERING EVENTS FROM A LARGE SEQUENCE IN DESCENDING ORDER OF INTERSECTION CARDINALITIES WITH THE TOP Q0 MOST FREQUENT ELEMENTS OF EACH OF THE K0 COLUMNS OF STAR EVENTS ) XXXXXXVII STAT1827 READS A VERY LARGE SEQUENCE OF K0-ELEMENT TEST EVENTS FROM STAT1827.INP, A SEQUENCE OF K0 Q0-ELEMENT PERMUTATIONS CONSISTING ELEMENTS LISTED IN DESCENDING ORDER OF FREQUENCIES FROM THE K0 COLUMNS OF IMAX STAR EVENTS (GENERATED FROM STAT1305 AS STAT1827.IN2), AND A SEQUENCE OF IMAX K0-ELEMENT STAR EVENTS FROM BASE.INP. EVENTS ARE RANKED AND FILTERED FROM STAT1827.INP IN DESCENDING ORDER OF INTERSECTION CARDINALITIES WITH THE TOP Q0 MOST FREQUENT ELEMENTS OF EACH OF THE K0 COLUMNS. A DESIRED NUMBER OF QUALIFYING EVENTS IS SAVED IN STAT1828.OUT AND STAT94.INP FOR FUTURE USAGE OR PROCESSING. A SELECTED STAR EVENT OR SEQUENCE OF STAR EVENTS IS THEN INTERSECTED WITH EACH GENERATED TEST EVENT FOR UP TO 400 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. STAT1827 IS A VARIANT OF STAT1819, TACITLY GENERATING A SEQUENCE OF HIGH-PROBABILITY TEST EVENTS IN STAT1827.OUT AND STAT94.INP. CF. ALSO STAT1305 FOR GENERATING STAT1827.IN2. ===================================================================== -- L 1828 -- ( GENERATION OF ALL (Q0 C K0) K0-SUBSETS FROM A SUB-SEQUENCE OF Q0-ELEMENT PERMUTATIONS GENERATED FROM PERMUTATIONS OF SIZE V0 ) IV STAT1828 READS A SEQUENCE OF PMAX Q0-ELEMENT PERMUTATIONS FROM PERM.INP AND A SEQUENCE OF IMAX K0-ELEMENT STAR EVENTS FROM BASE.INP. THE PERMUTATIONS IN PERM.INP ARE UTILIZED TO GENERATE A SEQUENCE OF HIGH-PROBABILITY K0-ELEMENT EVENTS IN STAT1828.OUT BY DETERMINING ALL K0-ELEMENT SUBSETS OF EACH INPUT PERMUTATION. STAT1828 IS A VARIANT OF STAT1401, TACITLY GENERATING A SEQUENCE OF HIGH-PROBABILITY TEST EVENTS IN STAT1828.OUT AND STAT1828.OT2. THE SIZE, Q0, OF EACH INPUT PERMUTATION IN PERM.INP VARIES. CF. ALSO STAT543, STAT1365, STAT1401, STAT1781 AND STAT2250. / / ===================================================================== -- L 1829 -- ( GENERATION OF K0-ELEMENT SUBSETS FROM SLIDING STRINGS OF WIDTH (K0+1) FROM Q0-ELEMENT PERMUTATIONS ) VI STAT1829 READS A SEQUENCE OF PMAX Q0-ELEMENT PERMUTATIONS FROM PERM.INP AND A SEQUENCE OF IMAX K0-ELEMENT STAR EVENTS FROM BASE.INP. THE PERMUTATIONS IN PERM.INP ARE UTILIZED TO GENERATE A SEQUENCE OF HIGH-PROBABILITY K0-ELEMENT EVENTS IN STAT1829.OUT BY SELECTING K0-ELEMENT SUBSETS FROM SLIDING STRINGS OF WIDTH (K0+1). STAT1829 IS A VARIANT OF STAT1827, TACITLY GENERATING A SEQUENCE OF HIGH-PROBABILITY TEST EVENTS IN STAT1829.OUT AND STAT1829.OT2. THE SIZE, Q0, OF EACH INPUT PERMUTATION IN PERM.INP VARIES. CF. ALSO STAT543, STAT1365, STAT1401 AND STAT1781. / / ===================================================================== -- L 1830 -- MONITOR MATRIX GENERATOR XXXXX FREQUENCY COUNTS FOR ELEMENTS IN A SEQUENCE OF K0-ELEMENT EVENTS ( VERSION XII ) COMPARES A LARGE 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, DETERMINES THE RELATIVE FREQUENCIES AND THE SUM OF RELATIVE FREQUENCIES OF COMMON ELEMENTS FOR FUTURE COMPARISON, AND GENERATES A MONITOR MATRIX REFLECTING THE PATTERNS OF MATCHES FROM THE ABOVE SEQUENCE OF BASE SETS. K0-ELEMENT EVENTS ARE RANKED AND PRINTED IN DESCENDING ORDER OF INTERSECTION PERFORMANCE IN SET1.OUT. STAT1830 IS A VARIANT OF STAT2 AND STAT894 AND STAT1187, ANALYZING K0-ELEMENT TEST EVENTS, RATHER THAN PERMUTATIONS, WITH EVENTS FILTERED MORE JUDICIOUSLY. E.G., IF THE EXPECTED FREQUENCY CADENCE = 1/K, THEN STAT1830 EXAMINES THE LAST K FREQUENCY COUNTS, INSTEAD OF THE LAST W*K FREQUENCY COUNTS, WHEN QUALIFYING EVENTS TO BE FILTERED, WHERE W IS A DESIRED REAL VALUE SELECTED BY THE ANALYST. STAT1830 IS A VARIANT OF STAT1030, BUT SELECTS [*]-QUALIFYING EVENTS WHOSE OVERALL OCCURRENCE FREQUENCY RATIOS 1/K EXCEED CORRESPONDING RATIOS OVER THE LAST K EVENTS BY A PRESCRIBED AMOUNT. CF. ALSO STAT1031 AND STAT1036 FOR PERMUTATION REPLICAS OF STAT1830. STAT1830 READS UP TO 50 INPUT TEST EVENTS FROM STAT1830.INP AND UP TO 50 INPUT STAR EVENTS FROM BASE.INP. ===================================================================== -- L 1831 -- MONITOR MATRIX GENERATOR XXXXX FREQUENCY COUNTS FOR ELEMENTS IN A SEQUENCE OF K0-ELEMENT EVENTS ( VERSION XIII ) COMPARES A LARGE 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, DETERMINES THE RELATIVE FREQUENCIES AND THE SUM OF RELATIVE FREQUENCIES OF COMMON ELEMENTS FOR FUTURE COMPARISON, AND GENERATES A MONITOR MATRIX REFLECTING THE PATTERNS OF MATCHES FROM THE ABOVE SEQUENCE OF BASE SETS. K0-ELEMENT EVENTS ARE RANKED AND PRINTED IN DESCENDING ORDER OF INTERSECTION PERFORMANCE IN SET1.OUT. STAT1831 IS A VARIANT OF STAT2 AND STAT894 AND STAT1187, ANALYZING K0-ELEMENT TEST EVENTS, RATHER THAN PERMUTATIONS, WITH EVENTS FILTERED MORE JUDICIOUSLY. E.G., IF THE EXPECTED FREQUENCY CADENCE = 1/K, THEN STAT1831 EXAMINES THE LAST K FREQUENCY COUNTS, INSTEAD OF THE LAST W*K FREQUENCY COUNTS, WHEN QUALIFYING EVENTS TO BE FILTERED, WHERE W IS A DESIRED REAL VALUE SELECTED BY THE ANALYST. STAT1831 IS A VARIANT OF STAT1830, BUT SELECTS [*]-QUALIFYING EVENTS WHOSE OVERALL OCCURRENCE FREQUENCY AVERAGE OVER THE ENTIRE SPAN OF STAR EVENTS LIES WITHIN A PRESCRIBED INTERVAL [ V1,V2 ] AND WHOSE OCCURRENCE FREQUENCY AVERAGE OVER THE LAST K STAR EVENTS LIES WITHIN A PRESCRIBED INTERVAL [ W1,W2 ] SELECTED BY THE ANALYST. CF. ALSO STAT1031 AND STAT1036 FOR PERMUTATION REPLICAS OF STAT1831. STAT1831 READS UP TO 50 INPUT TEST EVENTS FROM STAT1831.INP AND UP TO 50 INPUT STAR EVENTS FROM BASE.INP. CF. ALSO STAT1830. ===================================================================== -- L 1832 -- MONITOR MATRIX GENERATOR XXXXX FREQUENCY COUNTS FOR ELEMENTS IN A BLOCK OF K0-ELEMENT EVENTS ( VERSION XIV ) COMPARES A LARGE 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, DETERMINES THE RELATIVE FREQUENCIES AND THE SUM OF RELATIVE FREQUENCIES OF COMMON ELEMENTS FOR FUTURE COMPARISON, AND GENERATES A MONITOR MATRIX REFLECTING THE PATTERNS OF MATCHES FROM THE ABOVE SEQUENCE OF BASE SETS. K0-ELEMENT EVENTS ARE RANKED AND PRINTED IN DESCENDING ORDER OF INTERSECTION PERFORMANCE IN SET1.OUT. STAT1832 IS A VARIANT OF STAT2 AND STAT894 AND STAT1187, ANALYZING K0-ELEMENT TEST EVENTS, RATHER THAN PERMUTATIONS, WITH EVENTS FILTERED MORE JUDICIOUSLY. E.G., IF THE EXPECTED FREQUENCY CADENCE = 1/K, THEN STAT1832 EXAMINES THE LAST K FREQUENCY COUNTS, INSTEAD OF THE LAST W*K FREQUENCY COUNTS, WHEN QUALIFYING EVENTS TO BE FILTERED, WHERE W IS A DESIRED REAL VALUE SELECTED BY THE ANALYST. STAT1832 IS A VARIANT OF STAT1830, SELECTING [*]-QUALIFYING EVENTS WHOSE OVERALL OCCURRENCE FREQUENCY RATIOS 1/K EXCEED CORRESPONDING RATIOS OVER THE LAST K EVENTS BY A PRESCRIBED AMOUNT. HOWEVER, SEQUENCES OF BMAX-EVENT BLOCKS OF EVENTS ARE ANALYZED ON EACH CYCLE, RATHER THAN SINGLE EVENTS AS IN STAT1830. CF. ALSO STAT1031 AND STAT1036 FOR PERMUTATION REPLICAS OF STAT1832. STAT1832 READS UP TO 50 INPUT TEST EVENTS FROM STAT1832.INP AND UP TO 50 INPUT STAR EVENTS FROM BASE.INP. CF. ALSO STAT1830. ===================================================================== -- L 1833 -- ( READING AND PRINTING DESIRED BMAX-EVENT CONTIGUOUS BLOCKS OF K0-ELEMENT EVENTS FROM A SEQUENCE OF STAR EVENTS OR TEST EVENTS ) STAT1833 READS A LARGE BLOCK OF IMAX K0-ELEMENT TEST EVENTS FROM STAT1833.INP AND A SEQUENCE OF IMAX K0-ELEMENT STAR EVENTS FROM BASE.INP AND PRINTS EACH BLOCK AS A BMAX-EVENT BLOCK IN EITHER BASE.OUT OR STAT94.INP, WHERE BMAX = M2-M1 FOR SOME DESIRED INDICES M1 AND M2, SELECTED BY THE ANALYST. CF. ALSO STAT1811. ===================================================================== -- L 1834 -- MONITOR MATRIX GENERATOR XXXXX FREQUENCY COUNTS FOR ELEMENTS IN A BLOCK OF K0-ELEMENT EVENTS ( VERSION XV ) COMPARES A LARGE 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, DETERMINES THE RELATIVE FREQUENCIES AND THE SUM OF RELATIVE FREQUENCIES OF COMMON ELEMENTS FOR FUTURE COMPARISON, AND GENERATES A MONITOR MATRIX REFLECTING THE PATTERNS OF MATCHES FROM THE ABOVE SEQUENCE OF BASE SETS. K0-ELEMENT EVENTS ARE RANKED AND PRINTED IN DESCENDING ORDER OF INTERSECTION PERFORMANCE IN SET1.OUT. STAT1834 IS A VARIANT OF STAT2 AND STAT894 AND STAT1187, ANALYZING K0-ELEMENT TEST EVENTS, RATHER THAN PERMUTATIONS, WITH EVENTS FILTERED MORE JUDICIOUSLY. E.G., IF THE EXPECTED FREQUENCY CADENCE = 1/K, THEN STAT1834 EXAMINES THE LAST K FREQUENCY COUNTS, INSTEAD OF THE LAST W*K FREQUENCY COUNTS, WHEN QUALIFYING EVENTS TO BE FILTERED, WHERE W IS A DESIRED REAL VALUE SELECTED BY THE ANALYST. STAT1834 IS A VARIANT OF STAT1832, SELECTING [*]-QUALIFYING EVENTS WHOSE OVERALL OCCURRENCE FREQUENCY RATIOS 1/K EXCEED CORRESPONDING RATIOS OVER THE LAST K EVENTS BY A PRESCRIBED AMOUNT AND ANALYZING SEQUENCES OF BMAX-EVENT BLOCKS OF EVENTS ON EACH CYCLE, RATHER THAN SINGLE EVENTS AS IN STAT1830. HOWEVER, [*]-QUALIFYING EVENTS ARE ALSO REQUIRED TO SATISFY THE CONDITION BVG(K) .LE. Y0 * AVG(K) FOR K = 1 ,..., BMAX AND FOR SOME DESIRED Y0, A REAL-VALUED PROPORTIONALITY CONSTANT SELECTED BY THE ANALYST, WHERE BVG(K) IS THE AVERAGE FREQUENCY PROPORTION OVER THE TAIL AND AVG(K) IS THE AVERAGE FREQUENCY PROPORTION OVER ALL STAR EVENTS. CF. ALSO STAT1031 AND STAT1036 FOR PERMUTATION REPLICAS OF STAT1834. STAT1834 READS UP TO 50 INPUT TEST EVENTS FROM STAT1834.INP AND UP TO 50 INPUT STAR EVENTS FROM BASE.INP. CF. ALSO STAT1832. ===================================================================== -- L 1835 -- MONITOR MATRIX GENERATOR XXXXX FREQUENCY COUNTS FOR ELEMENTS IN A BLOCK OF K0-ELEMENT EVENTS ( VERSION XVIII) COMPARES A LARGE 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, DETERMINES THE RELATIVE FREQUENCIES AND THE SUM OF RELATIVE FREQUENCIES OF COMMON ELEMENTS FOR FUTURE COMPARISON, AND GENERATES A MONITOR MATRIX REFLECTING THE PATTERNS OF MATCHES FROM THE ABOVE SEQUENCE OF BASE SETS. K0-ELEMENT EVENTS ARE SORTED AND PRINTED IN LEXICOGRAPHIC ORDER OF COLUMN ELEMENTS IN STAT94.INP. STAT1835 IS A VARIANT OF STAT2 AND STAT894 AND STAT1187, ANALYZING K0-ELEMENT TEST EVENTS, RATHER THAN PERMUTATIONS, WITH EVENTS FILTERED MORE JUDICIOUSLY. FOR EXAMPLE, IF THE EXPECTED FREQUENCY CADENCE = 1/K, THEN STAT1835 EXAMINES THE LAST K FREQUENCY COUNTS, INSTEAD OF THE LAST W*K FREQUENCY COUNTS, WHEN QUALIFYING EVENTS TO BE FILTERED, WHERE W IS A DESIRED REAL VALUE SELECTED BY THE ANALYST. STAT1835 IS A VARIANT OF STAT1832, SELECTING [*]-QUALIFYING EVENTS WHOSE SUM OF OCCURRENCE-FREQUENCIES OVER THE FINAL V0 DESIRED STAR EVENTS EQUALS AT LEAST ONE OF THE OCCURRENCE-FREQUENCY SUMS FOR THE Q0 STAR EVENTS PRECEDING EACH STAR EVENT WITH AN OCCURRENCE-FREQUENCY SUM IN A DESIRED INTERVAL, [ M1,M2 ]. HOWEVER, SEQUENCES OF BMAX-EVENT BLOCKS OF EVENTS ARE ANALYZED ON EACH CYCLE, RATHER THAN SINGLE EVENTS AS IN STAT1830. STAT1835 READS UP TO 50 INPUT TEST EVENTS FROM STAT1835.INP AND UP TO 50 INPUT STAR EVENTS FROM BASE.INP. CF. ALSO STAT1832. CF. ALSO STAT1031 AND STAT1036 FOR PERMUTATION REPLICAS OF STAT1835. A CUMULATIVE FILE OF HIGH-PROBABILITY K0-ELEMENT EVENTS IS GENERATED INTO STAT94.IN2. ===================================================================== -- L 1836 -- ( SELECTION OF Q0 NON-REPEATING ELEMENTS FROM EACH COLUMN OF A SEQUENCE OF CMAX K0-ELEMENT EVENTS TO GENERATE A SEQUENCE OF K0 10-ELEMENT PERMUTATIONS ) READS A SEQUENCE OF CMAX K0-ELEMENT EVENTS FROM STAT1836.INP AND A SEQUENCE OF IMAX K0-ELEMENT STAR EVENTS FROM BASE.INP. A SEQUENCE OF Q0-ELEMENT PERMUTATION ELEMENTS IS SELECTED FROM ALL K0 COLUMNS OF STAT1836.INP, BACKING UP A REQUISITE NUMBER OF EVENTS FROM THE FINAL TEST EVENT. EACH GENERATED PERMUTATION IS INTERSECTED WITH FINAL STAR EVENT NUMBER IMAX AND COMMON ELEMENTS ARE IDENTIFIED. NON-REPEATING ELEMENTS ARE SELECTED FROM EACH COLUMN OF STAT1836.INP UNTIL THE DESIRED Q0 ELEMENTS ARE OBTAINED ARE RECORDED. THE GENERATED PERMUTATIONS ARE PRINTED IN PERM.OUT, PERM2.OUT, AND STAT1836.OUT. STAT1836 IS A VARIANT OF STAT1822. ===================================================================== -- L 1837 -- ( APPENDING THE BMAX DISTINCT COLUMN 1 ELEMENTS (MOD KMAX) OF A FIXED BLOCK OF EVENTS AS POWER ELEMENTS OF THE REMAINING (K0-1) ELEMENTS FOR EACH EVENT IN THE BLOCK ) STAT1837 READS A FIXED BLOCK OF IMAX K0-ELEMENT TEST EVENTS FROM STAT1837.INP AND A SEQUENCE OF IMAX K0-ELEMENT STAR EVENTS FROM BASE.INP AND RE-FORMATS THE TEST EVENTS TO A NEW FORMAT IN BOTH STAT1837.OUT AND STAT94.INP, INCLUDING A POWER ELEMENT HAVING A DESIRED MAXIMUM MODULUS. THE POWER ELEMENT IS DETERMINED BY SELECTING THE ELEMENT, B(I,1), FROM COLUMN 1 OF EACH TEST EVENT AND ADJUSTING IT (MOD KMAX) FOR SOME DESIRED INTEGER KMAX. THE BMAX DISTINCT COLUMN 1 ELEMENTS (MOD KMAX) ARE APPENDED TO THE REMAINING (K0-1) ELEMENTS AS POWER ELEMENTS FOR EACH EVENT IN THE BLOCK. CF. ALSO STAT1477, STAT1803, AND STAT1811. ===================================================================== -- L 1838 -- ( APPENDING THE BMAX DISTINCT COLUMN 1 ELEMENTS (MOD KMAX) OF A FIXED BLOCK OF EVENTS AS POWER ELEMENTS OF THE REMAINING (K0-1) ELEMENTS FOR EACH EVENT IN THE BLOCK ) II STAT1838 READS A FIXED BLOCK OF IMAX K0-ELEMENT TEST EVENTS FROM STAT1838.INP, A Q0-ELEMENT PERMUTATION OF POWER ELEMENTS FROM PERM.INP AND A SEQUENCE OF IMAX K0-ELEMENT STAR EVENTS FROM BASE.INP. STAT.1848 THEN RE-FORMATS THE TEST EVENTS TO A NEW FORMAT IN BOTH STAT1838.OUT AND STAT94.INP, INCLUDING A POWER ELEMENT HAVING A DESIRED MAXIMUM MODULUS. EACH POWER ELEMENT SELECTED FROM PERM.INP ADJUSTED (MOD KMAX) FOR SOME DESIRED INTEGER KMAX AND APPENDED TO THE LAST (K0-1) ELEMENTS OF EACH EVENT IN THE INPUT BLOCK OF STAT1838.INP. STAT1838 IS A VARIANT OF STAT1837. CF. ALSO STAR1837, STAT1477, STAT1803, AND STAT1811. ===================================================================== -- L 1839 -- (COMPLEMENTARY BLOCKS) ( FILTRATION OF A SEQUENCE OF K0-ELEMENT EVENTS FROM A FIXED SEQUENCE WHERE EACH QUALIFYING EVENT IS COMPLEMENTARY TO EACH EVENT OF A FIXED BLOCK OF EVENTS ) STAT1839 READS A VERY LARGE SEQUENCE OF K0-ELEMENT TEST EVENTS FROM STAT1839.INP, A FIXED BLOCK OF BMAX K0-ELEMENT TEST EVENTS FROM STAT1839.IN2, AND A SEQUENCE OF IMAX K0-ELEMENT STAR EVENTS FROM BASE.INP. A K0-ELEMENT BLOCK OF EVENTS IS SELECTED AS [*]-QUALIFIED AND IS FILTERED FROM STAT1839.INP IF IT DOES NOT INTERSECT EVERY EVENT FROM THE FIXED BLOCK IN STAT1839.IN2. THIS PROCESS IS REPEATED CYCLICALLY UNTIL ALL EVENTS IN STAT1839.INP HAVE BEEN TESTED. A SELECTED STAR EVENT OR SEQUENCE OF STAR EVENTS IS THEN INTERSECTED WITH EACH TEST EVENT FILTERED FROM THE ABOVE CYCLICAL PROCESS. 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 FILTERED BLOCK OF TEST EVENTS. STAT1839 IS A VARIANT OF STAT1802, TACITLY GENERATING A SEQUENCE OF HIGH-PROBABILITY TEST EVENTS IN STAT1839.OUT AND STAT94.INP. A CUMULATIVE FILE OF [*]-QUALIFIYING EVENTS IS GENERATED IN STAT94.IN2. ===================================================================== -- L 1840 -- ( GENERATING K0-ELEMENT EVENTS FROM INTERTWINED PAIRS OF CONSECUTIVE OR BIPARTITE EVENTS ) STAT1840 READS A SEQUENCE OF BMAX K0-ELEMENT TEST EVENTS FROM STAT1840.INP, AND A SEQUENCE OF IMAX K0-ELEMENT STAR EVENTS FROM FILE BASE.INP. K0-ELEMENT EVENTS ARE GENERATED FROM INTERTWINED TRIADS OF ELEMENTS FROM EITHER CONSECUTIVE OR BIPARTITE PAIRS OF INPUT EVENTS FROM STAT1840.INP. THIS PROCESS IS CYCLICALLY REPEATED. A SELECTED STAR EVENT OR SEQUENCE OF STAR EVENTS IS THEN INTERSECTED WITH EACH FILTERED TEST EVENT FOR UP TO 400 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 FILTERED BLOCK OF TEST EVENTS. STAT1840 IS A VARIANT OF STAT1824, TACITLY GENERATING A SEQUENCE OF HIGH-PROBABILITY TEST EVENTS IN STAT1840.OUT AND STAT94.INP AND READING UP TO 1000 INPUT TEST EVENTS FROM STAT1840.INP. A CUMULATIVE FILE OF EVENTS IS FILTERED INTO STAT94.IN2. ===================================================================== -- L 1841 -- (NON-PROBABILISTIC) STAT1841 READS A SEQUENCE OF BMAX K0-ELEMENT TEST EVENTS FROM STAT1841.INP, A SEQUENCE OF CMAX K0-ELEMENT COLUMN INDEX EVENTS FROM STAT1841.IN2 (REPRESENTING SELECTED TENS DIGIT COLUMNS, AUTOMATICALLY ADJUSTED (MOD K0)), AND A SEQUENCE OF DMAX K0-ELEMENT COLUMN INDEX EVENTS FROM STAT1841.IN2 (REPRESENTING SELECTED UNITS DIGIT COLUMNS, AUTOMATICALLY ADJUSTED (MOD K0)), AND A SEQUENCE OF IMAX K0-ELEMENT STAR EVENTS FROM BASE.INP. THE INPUT SEQUENCES ABOVE ARE UTILIZED TO GENERATE K0-ELEMENT TEST EVENTS OF THE FORM 10*B(I,C(M,J)) + B(I,D(N,J)) , WHERE J = 1,...,K0 , M = 1,...,CMAX AND N = 1,..., DMAX WITH THE C AND D ARRAYS RESIDING IN STAT1841.IN2 AND STAT1841.IN3, ANTICIPATED TO BE FILES OF DESIRED TENS AND UNITS DIGIT COLUMN INDICES, RESPECTIVELY. THIS PROCESS IS REPEATED FOR EACH ONE OF THE BMAX EVENTS OF STAT1841.INP. 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. STAT1841 IS A VARIANT OF STAT1192, GENERATING A FIXED SEQUENCE OF HIGH-PROBABILITY TEST EVENTS IN STAT1841.OUT AND STAT94.INP. ===================================================================== -- L 1842 -- ( TESTING AND PREDICTING INTERSECTION PERFORMANCE OF K0-ELEMENT EVENTS FROM A LARGE NUMBER OF NON-OVERLAPPING SUBSEQUENCES, IDENTIFYING SUBSEQUENCES WHICH ARE [*]-QUALIFYERS, AND FILTERING [*]-QUALIFIERS WHICH SATISFY BOUNDARY CONDITIONS OVER A DESIRED RANGE OF VALUES FOR SOME DESIRED MULTIPLE OF KCT ) II STAT1842 READS A LARGE BLOCK OF BMAX K0-ELEMENT TEST EVENTS FROM STAT1842.INP AND A SEQUENCE OF IMAX K0-ELEMENT STAR EVENTS FROM BASE.INP. K0-ELEMENT EVENTS OF A DESIRED BLOCK-SIZE ARE DIRECTLY INTERSECTED WITH THE SEQUENCE OF STAR EVENTS FROM BASE.INP. THE ROUTINE ALSO FLAGS THE ELEMENTS OF A DESIRED RANGE OF STAR EVENTS AS THEY OCCUR AMONG THE ELEMENTS OF INTERSECTING TEST EVENTS. MOREOVER, OUTPUT TEST EVENTS ARE PRINTED IN THE FILE STAT94.INP FOR FUTURE USE BY OTHER ROUTINES. 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. STAT1842 IS A VARIANT OF STAT1675, TACITLY GENERATING A SEQUENCE OF HIGH-PROBABILITY TEST EVENTS IN STAT1842.OUT AND STAT94.INP. HOWEVER, MULTIPLE BLOCKS OF K0-ELEMENT INPUT EVENTS ARE PROCESSED, INSTEAD OF THREE. TEST EVENTS ARE FILTERED 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). EVENTS FROM STAT1842.INP ARE INCLUDED AS OUTPUT EVENTS. CF. STAT1649. CF. STAT1641 FOR GENERATING STAT1842.INP IN THE FORM OF STAT94.INP. CF. ALSO STAT1323, STAT1505, STAT1506, STAT1511, STAT1618 AND STAT1631. SUBSEQUENCES OF INPUT TEST EVENTS ARE IDENTIFIED FOR WHICH (IMAX+1) IS WITHIN PROXIMITY OF V0*KCT. SEQUENCES ARE AUTOMATICALLY FILTERED WHICH HAVE A VALUE OF TMAX IN SOME DESIRED INTERVAL [ T1,T2 ] AND WHICH HAVE A COMPUTED VALUE OF | (IMAX+1) - V0*KCT | .LE. Y0 FOR DESIRED INTEGER VALUES, Y0 AND V0. STAT1842 IS AN EXTENDED VERSION OF STAT1675. CONGRUENCE TESTING IS PERFORMED OVER ALL IMAX STAR INDICES, RATHER THAN II STAR INDICES, AS IN STAT1668. A CUMULATIVE FILE OF [*]-QUALIFYING EVENTS IS GENERATED INTO STAT94.IN2. STAT94.INP MAY BE UTILIZED AS STAT1663.INP. CF. ALSO STAT1674. A RANGE OF INTERSECTION FREQUENCIES, RATHER THAN A DISCRETE INTERSECTION FREQUENCY, IS TESTED ON EACH CYCLE. AS AN ADDITIONAL RESTRICTIVE FEATURE, STAT1842 CYCLICALLY FILTERS BLOCKS OF TEST EVENTS FROM STAT1842.INP WHICH SATISFY THE CRITERION: H(II) + KCT .LE. (IMAX+1). ===================================================================== -- L 1843 -- ( TESTING AND PREDICTING INTERSECTION PERFORMANCE OF K0-ELEMENT EVENTS FROM A LARGE NUMBER OF NON-OVERLAPPING SUBSEQUENCES, IDENTIFYING SUBSEQUENCES WHICH ARE [*]-QUALIFYERS, AND FILTERING [*]-QUALIFIERS WHICH SATISFY BOUNDARY CONDITIONS OVER A DESIRED RANGE OF VALUES FOR SOME DESIRED MULTIPLE OF KCT ) III STAT1843 READS A LARGE BLOCK OF BMAX K0-ELEMENT TEST EVENTS FROM STAT1843.INP AND A SEQUENCE OF IMAX K0-ELEMENT STAR EVENTS FROM BASE.INP. K0-ELEMENT EVENTS OF A DESIRED BLOCK-SIZE ARE DIRECTLY INTERSECTED WITH THE SEQUENCE OF STAR EVENTS FROM BASE.INP. THE ROUTINE ALSO FLAGS THE ELEMENTS OF A DESIRED RANGE OF STAR EVENTS AS THEY OCCUR AMONG THE ELEMENTS OF INTERSECTING 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. STAT1843 IS A VARIANT OF STAT1842, TACITLY GENERATING A SEQUENCE OF HIGH-PROBABILITY TEST EVENTS IN STAT1843.OUT AND STAT94.INP. HOWEVER, MULTIPLE BLOCKS OF K0-ELEMENT INPUT EVENTS ARE PROCESSED, INSTEAD OF THREE. TEST EVENTS ARE FILTERED 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). EVENTS FROM STAT1843.INP ARE INCLUDED AS OUTPUT EVENTS. CF. STAT1649. CF. STAT1641 FOR GENERATING STAT1843.INP IN THE FORM OF STAT94.INP. CF. ALSO STAT1323, STAT1505, STAT1506, STAT1511, STAT1618 AND STAT1631. SUBSEQUENCES OF INPUT TEST EVENTS ARE IDENTIFIED FOR WHICH (IMAX+1) IS WITHIN PROXIMITY OF V0*KCT. SEQUENCES ARE AUTOMATICALLY FILTERED WHICH HAVE A VALUE OF TMAX IN SOME DESIRED INTERVAL [ T1,T2 ] AND WHICH HAVE A COMPUTED VALUE OF | (IMAX+1) - V0*KCT | .LE. Y0 FOR DESIRED INTEGER VALUES, Y0 AND V0. STAT1843 IS AN EXTENDED VERSION OF STAT1675. CONGRUENCE TESTING IS PERFORMED OVER ALL IMAX STAR INDICES, RATHER THAN II STAR INDICES, AS IN STAT1668. A CUMULATIVE FILE OF [*]-QUALIFYING EVENTS IS GENERATED INTO STAT94.IN2. STAT94.INP MAY BE UTILIZED AS STAT1663.INP. CF. ALSO STAT1674. A RANGE OF INTERSECTION FREQUENCIES, RATHER THAN A DISCRETE INTERSECTION FREQUENCY, IS TESTED ON EACH CYCLE. AS AN ADDITIONAL RESTRICTIVE FEATURE, STAT1843 CYCLICALLY FILTERS BLOCKS OF TEST EVENTS FROM STAT1843.INP WHICH SATISFY THE CRITERION: H(II) + KCT .GE. (IMAX+1). ===================================================================== -- L 1844 -- ( TESTING INTERSECTION COUNTS OVER A DESIRED INTERVAL [M1,M2] OF A FIXED STAR EVENT VS. A LARGE BLOCK OF TEST EVENTS AND DETERMINING THE INTERSECTION FREQUENCIES OF THE RESULTING BLOCK VS. THE ENTIRE RANGE OF STAR EVENTS ) STAT1844 READS A VERY LARGE SEQUENCE OF K0-ELEMENT TEST EVENTS FROM STAT1844.INP AND A SEQUENCE OF IMAX K0-ELEMENT STAR EVENTS FROM STAT1844.INP AND INTERSECTS THE LARGE SEQUENCE WITH A DESIRED FIXED STAR EVENT. A K0-ELEMENT EVENT IS SELECTED AS [*]-QUALIFIED AND IS FILTERED FROM STAT1844.INP IF IT INTERSECTS THE FIXED STAR EVENT IN A NUMBER OF ELEMENTS IN [ M1,M2 ]. THIS PROCESS IS REPEATED CYCLICALLY UNTIL A DESIRED NUMBER M0 OF TEST EVENTS ARE FILTERED. A SELECTED SEQUENCE OF STAR EVENTS FROM BASE.INP IS THEN INTERSECTED WITH EACH FILTERED TEST EVENT FILTERED FROM THE ABOVE PROCESS. 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 FILTERED BLOCK OF TEST EVENTS. STAT1844 IS A VARIANT OF STAT1839, TACITLY GENERATING A SEQUENCE OF HIGH-PROBABILITY TEST EVENTS IN STAT1844.OUT AND STAT94.INP. A CUMULATIVE FILE OF [*]-QUALIFIYING EVENTS IS GENERATED IN STAT94.IN2. ===================================================================== -- L 1845 -- ( FILTERING EVENTS FROM A LARGE BLOCK OF TEST EVENTS WITH MODULUS OF EACH ELEMENT BOUNDED BY THE CORRESPONDING MODULUS OF EACH EVENT IN A FIXED SEQUENCE OF 2*K0-ELEMENT EVENTS ) STAT1845 READS A VERY LARGE SEQUENCE OF K0-ELEMENT TEST EVENTS FROM STAT1845.INP, A SEQUENCE OF BMAX 2*K0-ELEMENT INTERVAL CONSTRAINT EVENTS FROM STAT1845.IN2 AND A SEQUENCE OF IMAX K0-ELEMENT STAR EVENTS FROM BASE.INP AND INTERSECTS THE LARGE SEQUENCE WITH A DESIRED STAR EVENT. A K0-ELEMENT EVENT IS SELECTED AS [*]-QUALIFIED AND IS FILTERED FROM STAT1845.INP IF EACH ELEMENT LIES WITHIN THE CORRESPONDING INTERVAL CONSTRAINTS OF THE K0 CONSECUTIVE PAIRS OF 2*K0-ELEMENT EVENTS IN STAT1845.IN2. THIS PROCESS IS CYCLICALLY REPEATED UNTIL A DESIRED NUMBER M0 OF TEST EVENTS ARE FILTERED. A SELECTED SEQUENCE OF STAR EVENTS FROM BASE.INP IS THEN INTERSECTED WITH EACH FILTERED TEST EVENT FILTERED FROM THE ABOVE PROCESS. 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 FILTERED BLOCK OF TEST EVENTS. STAT1845 IS A VARIANT OF STAT1844, TACITLY GENERATING A SEQUENCE OF HIGH-PROBABILITY TEST EVENTS IN STAT1845.OUT AND STAT94.INP. A CUMULATIVE FILE OF [*]-QUALIFIYING EVENTS IS GENERATED IN STAT94.IN2. ===================================================================== -- L 1846 -- III STAT1846 GENERATES RANDOM K-SUBSETS OF AN N-SET, WHERE K AND N ARE ARBITRARY POSITIVE INTEGERS WITH K < N , ADAPTED FROM COMBINATORIAL ALGORITHMS (A. NIJENHUIS, H. WILF). GENERATED ELEMENTS ARE RESTRICTED BETWEEN DESIRED MINIMUM AND MAXIMUM VALUES IN THE INTERVAL [ M1,M2 ] , SELECTED BY THE ANALYST. STAT1846 IS AN HYBRID OF STAT12 AND STAT980, WITH MAGNITUDES OF GENERATED ELEMENTS RESTRICTED. ===================================================================== -- L 1847 -- ( FILTERING TEST EVENTS WITH FINAL INDEX DISPLACEMENT FOR [*]-QUALIFICATION MATCHING ONE OF THE TOP TWO MOST FREQUENT INDEX DISPLACEMENTS OVER ALL STAR EVENTS ) I STAT1847 READS A SEQUENCE OF BMAX K0-ELEMENT TEST EVENTS FROM STAT1847.INP AND A SEQUENCE OF IMAX K0-ELEMENT STAR EVENTS FROM BASE.INP. THE INPUT SEQUENCE IN STAT1847.INP INTERSECTED WITH EACH STAR EVENT IN BASE.INP TO GENERATE A CONFIGURATION FOR ANALYSIS. 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. STAT1847 IS A VARIANT OF STAT1841, GENERATING A FIXED SEQUENCE OF HIGH-PROBABILITY TEST EVENTS IN STAT1847.OUT AND STAT94.INP. ===================================================================== -- L 1848 -- ( FILTERING TEST EVENTS WITH FINAL INDEX DISPLACEMENT FOR [*]-QUALIFICATION MATCHING ONE OF THE TOP TWO MOST FREQUENT INDEX DISPLACEMENTS OVER ALL STAR EVENTS ) II STAT1848 READS A LARGE SEQUENCE OF BMAX K0-ELEMENT TEST EVENTS FROM STAT1848.INP AND A SEQUENCE OF IMAX K0-ELEMENT STAR EVENTS FROM BASE.INP. CYCLICAL INPUT BLOCKS IN STAT1848.INP ARE INTERSECTED WITH STAR EVENTS IN BASE.INP TO GENERATE A CONFIGURATION FOR ANALYSIS. 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. STAT1848 IS A VARIANT OF STAT1847, GENERATING A FIXED SEQUENCE OF HIGH-PROBABILITY TEST EVENTS IN STAT1848.OUT AND STAT94.INP. HOWEVER, CYCLIC VERTICAL BLOCKS OF INPUT EVENTS ARE PROCESSED FROM THE LARGE SEQUENCE IN STAT1848.INP, RATHER THAN A FIXED BLOCK. ===================================================================== -- L 1849 -- ( TESTING AND PREDICTING THE INTERSECTION PERFORMANCE OF TRANSFORMED K0-ELEMENT EVENTS FROM A FIXED BLOCK ) XXX STAT1849 READS A FIXED BLOCK OF BMAX K0-ELEMENT TEST EVENTS FROM STAT1849.INP AND A SEQUENCE OF IMAX K0-ELEMENT STAR EVENTS FROM BASE.INP. K0-ELEMENT EVENTS ARE TRANSFORMED INTO EVENTS OF THE FORM B(I+1,1)-1,B(I,1),B(I,2),B(I,3),B(I+1,5)-1 ( WHERE K0 = 5 ) B(I,1)-1,B(I,2)-2,B(I,3)-2,B(I,4),B(I,5)+1 ( WHERE K0 = 5 ) B(I,1)-1,B(I,2)-3,B(I,3)-3,B(I,4),B(I,5) ( WHERE K0 = 5 ), OR B(I+1,1)-1,B(I,1),B(I,2),B(I,3),B(I,4),B(I+1,6)-1 ( WHERE K0 = 6 ) B(I,1)-1,B(I,2)-2,B(I,3)-2,B(I,4),B(I,5),B(I,6)+1 ( WHERE K0 = 6 ) B(I,1)-1,B(I,2)-3,B(I,3)-3,B(I,4)+1,B(I,5),B(I,6) ( WHERE K0 = 6 ). TRANSFORMED K0-ELEMENT EVENTS OF A DESIRED BLOCK-SIZE ARE DIRECTLY INTERSECTED WITH THE SEQUENCE OF STAR EVENTS FROM BASE.INP. THE ROUTINE ALSO FLAGS THE ELEMENTS OF A DESIRED RANGE OF STAR EVENTS AS THEY OCCUR AMONG THE ELEMENTS OF INTERSECTING 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. STAT1849 IS A VARIANT OF STAT1654, TACITLY GENERATING A SEQUENCE OF HIGH-PROBABILITY TEST EVENTS IN STAT1849.OUT AND STAT94.INP. HOWEVER, THE BLOCK OF K0-ELEMENT INPUT EVENTS REMAINS FIXED, EXCEPT FOR THE FACT THAT TEST EVENTS ARE FILTERED 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). EVENTS FROM STAT1849.INP ARE INCLUDED AS OUTPUT EVENTS. CF. STAT1649. CF. STAT1641 FOR GENERATING STAT1849.INP IN THE FORM OF STAT94.INP. CF. ALSO STAT1323, STAT1505, STAT1506, STAT1511, STAT1618, STAT1631, AND STAT1654. CF. ALSO STAT1740. ===================================================================== -- L 1850 -- ( GENERATING K0-ELEMENT EVENTS FROM A FIXED BLOCK VIA SELECTED ALTERNATING ELEMENTS FROM FIXED COLUMNS ) XXXX STAT1850 READS A FIXED BLOCK OF BMAX K0-ELEMENT TEST EVENTS FROM STAT1850.INP AND A SEQUENCE OF IMAX K0-ELEMENT STAR EVENTS FROM BASE.INP. K0-ELEMENT EVENTS ARE TRANSFORMED INTO EVENTS OF THE FORM B(I,1),B(I-1,3),B(I-3,3),B(I-4,3),B(I,K0) ( WHERE K0 = 5 ) B(I,2),B(I-1,3),B(I-3,3),B(I-4,3),B(I,K0-1) ( WHERE K0 = 5 ) OR B(I,1),B(I-1,3),B(I-3,3),B(I-4,3),B(I-6,3),B(I,K0) (WHERE K0 = 6 ) B(I,1),B(I-1,4),B(I-3,4),B(I-4,4),B(I-6,4),B(I,K0) (WHERE K0 = 6 ) B(I,2),B(I-1,3),B(I-3,3),B(I-4,3),B(I-6,3),B(I,K0-1) (WHERE K0 = 6 ) B(I,2),B(I-1,4),B(I-3,4),B(I-4,4),B(I-6,4),B(I,K0-1) (WHERE K0 = 6 ) TRANSFORMED K0-ELEMENT EVENTS OF A DESIRED BLOCK-SIZE ARE DIRECTLY INTERSECTED WITH THE SEQUENCE OF STAR EVENTS FROM BASE.INP. THE ROUTINE ALSO FLAGS THE ELEMENTS OF A DESIRED RANGE OF STAR EVENTS AS THEY OCCUR AMONG THE ELEMENTS OF INTERSECTING 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. STAT1850 IS A VARIANT OF STAT1849, TACITLY GENERATING A SEQUENCE OF HIGH-PROBABILITY TEST EVENTS IN STAT1850.OUT AND STAT94.INP. HOWEVER, THE BLOCK OF K0-ELEMENT INPUT EVENTS REMAINS FIXED, EXCEPT FOR THE FACT THAT TEST EVENTS ARE FILTERED 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). EVENTS FROM STAT1850.INP ARE INCLUDED AS OUTPUT EVENTS. CF. STAT1649. CF. STAT1641 FOR GENERATING STAT1850.INP IN THE FORM OF STAT94.INP. CF. ALSO STAT1323, STAT1505, STAT1506, STAT1511, STAT1618, STAT1631, STAT1654 AND STAT1849. CF. ALSO STAT1740. BASE.INP MAY BE UTILIZED AS STAT1850.INP. BMAX MUST HAVE A VALUE OF AT LEAST 5 (IF K0 = 5) OR A VALUE OF AT LEAST 7 (IF K0 = 6). =====================================================================