= = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = COMP-U-STAT = = = = = = = = STATISTICAL PATTERN GENERATOR AND MATHEMATICAL TREND ANALYZER = = = = = = = = (c) Copyright 2017 by J.E. Glover, Ph.D. = = = = All Rights Reserved = = = = = = = = = = = = Part VII(b) ( STAT 3008 ----> STAT 3175 ) = = = = = = = = = = = = 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 3008 ---> 3175 * * * ========================================================================= -- L 3008 -- ( GENERATING K0-ELEMENT EVENTS FROM BIPARTITE PAIRS OF EVENTS FROM A FIXED BLOCK BY INTERCHANGING DISTINCT PAIRS OF ELEMENTS FROM EACH ONE OF THE K0 COLUMNS AND RECORDING THE RESULTING NEW EVENTS ) STAT3008 READS A FIXED BLOCK OF BMAX K0-ELEMENT TEST EVENTS FROM STAT3008.INP AND A SEQUENCE OF IMAX K0-ELEMENT STAR EVENTS FROM BASE.INP. K0-ELEMENT EVENTS ARE GENERATED FROM BIPARTITE PAIRS OF EVENTS FROM STAT3008.INP BY INTERCHANGING DISTINCT PAIRS OF ELEMENTS FROM EACH ONE OF THE K0 COLUMNS AND RECORDING THE RESULTING NEW EVENTS INTO STAT94.INP. GENERATED EVENTS ARE 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. STAT3008 IS A VARIANT OF STAT1650, TACITLY GENERATING A SEQUENCE OF HIGH-PROBABILITY TEST EVENTS IN STAT3008.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 STAT3008.INP ARE INCLUDED AS OUTPUT EVENTS. CF. STAT1649. CF. STAT1641 FOR GENERATING STAT3008.INP IN THE FORM OF STAT94.INP. CF. ALSO STAT1323, STAT1505, STAT1506, STAT1511, STAT1618 AND STAT1631. INPUT EVENTS IN STAT3008.INP MAY BE TACITLY GENERATED BY STAT1438 AS STAT94.INP. CF. STAT1438. CF. STAT204 FOR THE GENERATION OF STAT3008.INP AND CF. STAT2171 FOR THE GENERATION OF STAT3008.IN2. CF. ALSO STAT1606. A CUMULATIVE FILE OF EVENTS IS RECORDED IN CUMULAT.OUT. CF. STAT2853. STAT3008 IS A VARIANT OF STAT3007. ========================================================================= -- L 3009 -- ( FILTERING ELEMENTS FROM ALL OF WHOSE FREQUENCIES LIE IN THE INTERVAL [ NAVG-V0, NAVG+ V0 ] FOR SOME DESIRED TRANSLATION PARAMETER, V0 , WITH NAVG EQUIVALENT TO THE AVERAGE FREQUENCY OVER ALL L0 ELEMENTS IN THE RANGE OF THE IMAX STAR EVENTS IN BASE.INP ) DETERMINES THE FREQUENCIES OF ELEMENTS FROM A SEQUENCE OF j-ELEMENT BLOCKS, THE SUM OF FREQUENCIES AND THE AVERAGE FREQUENCY OVER k EVENTS, SORTS THE FREEQUENCIES AND DETERMINES THE TOP t MOST FREQUENT ELEMENTS AND THE BOTTOM t LEAST FREQUENT ELEMENTS, AND DETERMINES SEQUENCES OF PROBABLE ELEMENTS BASED UPON WHETHER OR NOT ELEMENT FREQUENCIES LIE IN THE INTERVAL [ NAVG-V0 , NAVG + V0 ] FOR SOME DESIRED TRANSLATION PARAMETER V0. STAT3009 ALSO GENERATES A VERSION OF STAT1048.IN2. A CONFIGURATION MATRIX FOR THE ABOVE IS RECORDED IN BASE.INP FOR ALL STAR EVENTS. STAT3009 GENERATES THE FILE STAT2522.IN2 FOR RANKING AND FILTERING TEST EVENTS IN DESCENDING ORDER OF ELEMENT FREQUENCY SUMS. STAT3009 ALSO GENERATES THE HIGH-PROBABILITY FILE, PERM.INP. CF. ALSO STAT2524. ========================================================================= -- L 3010 -- ( GENERATING A DESIRED NUMBER OF KMAX SEQUENTIAL K0-ELEMENT EVENTS FROM EACH PERMUTATION IN A FIXED SEQUENCE BY SELECTING AND RECORDING EVERY Jth EVENT FOR DESIRED INDEX, J ) STAT3010 READS AN ARBITRARILY LARGE SEQUENCE OF QMAX PERMUTATIONS FROM PERM.INP AND SEQUENTIALLY SELECTS AND RECORDS EVERY Jth K0-ELEMENT EVENT, GENERATING A DESIRED SEQUENCE OF KMAX EVENTS FOR EACH INPUT PERMUTATION. GENERATED EVENTS ARE RECORDED IN STAT94.INP FOR FUTURE PROCESSING BY OTHER ROUTINES. CF. ALSO STAT543. ========================================================================= -- L 3011 -- ( GENERATING A DESIRED NUMBER OF KMAX SEQUENTIAL K0-ELEMENT EVENTS FROM EACH PERMUTATION IN A FIXED SEQUENCE BY SELECTING AND RECORDING EVERY EVENT IN SUCCESSION ) STAT3011 READS AN ARBITRARILY LARGE SEQUENCE OF QMAX PERMUTATIONS FROM PERM.INP AND SEQUENTIALLY SELECTS AND RECORDS EVERY K0-ELEMENT EVENT IN SEQUENCE, GENERATING A DESIRED SEQUENCE OF KMAX EVENTS FOR EACH INPUT PERMUTATION. GENERATED EVENTS ARE RECORDED IN STAT94.INP FOR FUTURE PROCESSING BY OTHER ROUTINES. STAT3011 IS A VARIANT OF STAT543 AND STAT3010. ========================================================================= -- L 3012 -- ( GENERATING A DESIRED NUMBER OF KMAX SEQUENTIAL K0-ELEMENT EVENTS FROM EACH PERMUTATION IN A FIXED SEQUENCE BY SELECTING AND RECORDING EVERY EVENT IN SUCCESSION ) II STAT3012 READS AN ARBITRARILY LARGE SEQUENCE OF QMAX PERMUTATIONS FROM PERM.INP AND SEQUENTIALLY SELECTS AND RECORDS SELECTED SCROLLING CONFIGURATIONS OF K0-ELEMENT EVENTS, GENERATING A DESIRED SEQUENCE OF KMAX EVENTS FOR EACH INPUT PERMUTATION. GENERATED EVENTS ARE RECORDED IN STAT94.INP FOR FUTURE PROCESSING BY OTHER ROUTINES. STAT3012 IS A VARIANT OF STAT543 AND STAT3011. ========================================================================= -- L 3013 -- ( FILTERING A DESIRED NUMBER OF KMAX SEQUENTIAL K0-ELEMENT EVENTS FROM AN ARBITRARILY LARGE SEQUENCE OF EVENTS FOR WHICH ALL K0 ELEMENTS PER EVENT ARE CONTAINED IN A FIXED PERMUTATION OF AN ARBITRARILY LARGE SEQUENCE ) STAT3013 READS AN ARBITRARILY LARGE SEQUENCE OF BMAX K0-ELEMENT EVENTS FROM STAT3013.INP AND READS A SEQUENCE OF PERMUTATIONS FROM PERM.INP, GENERATED BY, E.G., STAT1015 AS PERM.OUT OR PERM2.OUT. KMAX K0-ELEMENT EVENTS ARE FILTERED, ALL OF WHOSE ELEMENTS LIE IN AT LEAST ONE PERMUTATION OF PERM.INP. GENERATED EVENTS ARE RECORDED IN STAT94.INP FOR FUTURE PROCESSING BY OTHER ROUTINES. STAT3013 IS A VARIANT OF STAT543 AND STAT3012. ========================================================================= -- L 3014 -- ( FILTERS A DESIRED NUMBER OF [*]-QUALIFYING EVENTS FROM AN ARBITRARILY LARGE SEQUENCE FOR WHICH A PRESCRIBED MAXIMUM NUMBER , Q0 , OF ELEMENTS IN EACH ONE OF THE K0 COLUMNS OF STAR EVENTS INTERSECT THE CORRESPONDING ELEMENT B(J), FOR EACH J = 1,2,...,K0 ) STAT3014 READS AN ARBITRARILY LARGE SEQUENCE OF TEST EVENTS FROM STAT3014.INP, A SEQUENCE OF K0 2-ELEMENT VECTORS FROM STAT3014.IN2, CONSISTING OF RANGES OF ELEMENTS OVER K0 COLUMNS, AND A SEQUENCE OF IMAX K0-ELEMENT STAR EVENTS FROM BASE.INP. THE ROUTINE PREDICTS A QUALIFYING SEQUENCE OF RANGES OF ELEMENTS FOR EACH ONE OF THE K0 COLUMNS OF STAR EVENTS, BASED UPON A DETERMINED OCCURRENCE CADENCE CRITERION FOR ELEMENTS RESIDING IN A PRESCRIBED SEQUENCE OF INTERVALS OF ELEMENTS. [*]-QUALIFYING EVENTS ARE FILTERED FROM STAT3014.INP FOR WHICH ALL K0 ELEMENTS MATCH THE K0-ELEMENT [ 0,1 ]-VECTOR OF RANGE-TYPES OF ELEMENTS EXHIBITED IN COLUMNS < 1, 2, 3, ... , K0 >. STAT3014 IS A VARIANT OF STAT2751, BUT TEST EVENTS ARE FILTERED WHICH HAS A DESIRED MAXIMUM NUMBER OF ELEMENTS vs. STAR ELEMENTS IN EACH ONE OF THE K0 COLUMNS OVER STAR EVENTS IN BASE.INP. CF. STAT2750 AND STAT2788. STAT3014 GENERATES BOTH STAT2377.IN2 AND STAT2611.IN2 FOR FURTHER PROCESSING. CF. STAT2831. ========================================================================= -- L 3015 -- ( FILTERING A SEQUENCE OF K2 EVENTS FROM A LARGE SEQUENCE FOR WHICH THE INITIAL ELEMENT LIES IN A PRESCRIBED INTERVAL, [ K1,K2 ] , FOR A COLUMN OF THE BLOCK OF INPUT EVENTS SELECTED BY THE ANALYST AND FOR WHICH THE SEQUENCE OF STAR EVENTS SATISFIES THE SAME OCCURRENCE CONFIGURATION ) XXX STAT3015 READS A LARGE SEQUENCE OF K0-ELEMENT TEST EVENTS FROM STAT3015.INP. K2 EVENTS ARE FILTERED FOR WHICH THE INITIAL ELEMENT LIES IN A PRESCRIBED INTERVAL, [ K1,K2 ] , FOR A COLUMN OF THE BLOCK OF INPUT EVENTS SELECTED BY THE ANALYST AND FOR WHICH THE SEQUENCE OF STAR EVENTS IN BASE.INP SATISFY THE SAME OCCURRENCE CONFIGURATION. STAT3015 ALSO READS A SEQUENCE OF IMAX K0-ELEMENT STAR EVENTS FROM BASE.INP AND GENERATED TEST EVENTS ARE INTERSECTED WITH THE SEQUENCE OF STAR EVENTS FROM BASE.INP. PROCESSING IS TERMINATED WHEN A DESIRED NUMBER , K2 , OF TEST EVENTS IS FILTERED FROM STAT3015.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. STAT3015 IS A VARIANT OF STAT2187, TACITLY GENERATING A SEQUENCE OF HIGH-PROBABILITY TEST EVENTS IN STAT3015.OUT AND STAT94.INP. HOWEVER, K0-ELEMENT [*]-QUALIFYING EVENTS ARE DETERMINED FROM A COLUMN OF THE STAR EVENTS IN BASE.INP SELECTED BY THE ANALYST. STAT2103. CF. STAT1641 FOR GENERATING STAT3015.INP IN THE FORM OF STAT94.INP. CF. ALSO STAT1323, STAT1505, STAT1506, STAT1511, STAT1618 AND STAT1631. INPUT EVENTS IN STAT3015.INP MAY BE TACITLY GENERATED BY STAT1438 AS STAT94.INP. CF. STAT1438. CF. ALSO STAT1654 AND STAT2407. ========================================================================= -- L 3016 -- ( FILTERING KMAX TEST EVENTS FROM AN ARBITRARILY LARGE SEQUENCE FOR WHICH, AT MOST, Q0 ELEMENTS INTERSECT ELEMENTS IN CORRESPONDING COLUMNS OVER THE LAST V0 DESIRED INDICES OF STAR EVENTS ) STAT3016 READS A LARGE SEQUENCE OF TEST EVENTS FROM STAT3016.INP AND A SEQUENCE OF IMAX K0-ELEMENT STAR EVENTS FROM BASE.INP. KMAX TEST EVENTS ARE FILTERED FROM STAT3016.INP FOR WHICH, AT MOST, Q0 ELEMENTS PER EVENT INTERSECT ELEMENTS IN CORRESPONDING COLUMNS OVER THE LAST V0 DESIRED INDICES OF STAR EVENTS IN BASE.INP. STAT3016 IS A VARIANT OF STAT2985. ========================================================================= -- L 3017 -- ( GENERATING K0-ELEMENT EVENTS FROM A FIXED BLOCK OF EVENTS VIA SCROLLING TRIADS OF EVENTS WITH COLUMNS DETERMINED BY A SEQUENCE OF SELECTED COLUMN-INDEX VECTORS ) STAT3017 READS A FIXED BLOCK OF BMAX K0-ELEMENT TEST EVENTS FROM STAT3017.INP, A SEQUENCE OF CMAX K0-ELEMENT COLUMN-INDEX VECTORS FROM STAT3017.IN2, AND A SEQUENCE OF IMAX K0-ELEMENT STAR EVENTS FROM BASE.INP. K0-ELEMENT EVENTS ARE GENERATED FROM STAT3017.INP VIA SCROLLING TRIADS OF EVENTS WITH COLUMNS DETERMINED BY EVENTS FROM STAT2518.IN2, CONSISTING OF CMAX SELECTED COLUMN-INDEX VECTORS. EACH ONE OF THE ELEMENTS VECTORS IN STAT3017.IN2 ARE ADJUSTED (MOD K0). 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. STAT3017 IS A VARIANT OF STAT2618, TACITLY GENERATING A SEQUENCE OF HIGH-PROBABILITY TEST EVENTS IN STAT3017.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 STAT3017.INP ARE INCLUDED AS OUTPUT EVENTS. CF. STAT1649. CF. STAT1641 FOR GENERATING STAT3017.INP IN THE FORM OF STAT94.INP. CF. ALSO STAT1323, STAT1505, STAT1506, STAT1511, STAT1618 AND STAT1631. INPUT EVENTS IN STAT3017.INP MAY BE TACITLY GENERATED BY STAT1438 AS STAT94.INP. CF. STAT1438. CF. STAT12 FOR THE GENERATION OF STAT3017.INP AND CF. STAT2171 FOR THE GENERATION OF STAT3017.IN2. CF. ALSO STAT1606. A CUMULATIVE FILE OF EVENTS IS RECORDED IN CUMULAT.OUT. ========================================================================= -- L 3018 -- ( PREDICTING FUTURE INTERSECTIONS FOR A CYCLIC BLOCK OF TEST EVENTS ) XXXXX STAT3018 READS A LARGE SEQUENCE (E.G., UP TO 10,000 OR MORE INPUT TEST EVENTS) FROM STAT3018.INP AND IMAX K0-ELEMENT STAR EVENTS FROM BASE.INP. THE INPUT SEQUENCE IN STAT3018.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. STAT3018 FILTERS TEST EVENTS FROM STAT3018.INP INTO STAT3018.OUT AND STAT94.INP. INPUT BLOCKS FROM STAT3018.INP ARE ACCEPTED AS [*]- QUALIFIED IF, S(LMAX) + H(II) .LE. IMAX + 1 , WHERE S(LMAX) IS THE MAXIMUM INDEX DISPLACEMENT FOR A [*]-QUALIFYING BLOCK OR EVENT AND AND IMAX+1 IS THE STAR EVENT INDEX SUCCEEDING THE FINAL STAR EVENT. THIS PROCESS IS CYCLICALLY REPEATED OVER ALL STAR EVENTS OF BASE.INP. STAT3018 IS A VARIANT OF STAT1630, STREAMLINING OUTPUT UNTIL AN EXHAUSTIVE SEARCH OVER STAT3018.INP IS COMPLETED FOR QUALIFYING BLOCKS OF K0-ELEMENT EVENTS. HOWEVER, AN EXTENDED SET OF STAR INDICES ARE USED IN SELECTING QUALIFYING BLOCKS OF TEST EVENTS. CF. STAT1506 (AN EMBELLISHMENT OF STAT1323) FOR A VERSION OF STAT3018 WHICH GENERATES BLOCKS OF INPUT EVENTS RANDOMLY. STAT3018 USES A SEQUENCE OF CONSECUTIVE INDICES VS. TMAX TO GENERATE THE SPECTRUM OF BLOCKS OF EVENTS WHOSE VALUES OF TMAX MATCH THE GIVEN SEQUENCE OF INDICES WITHIN A DESIRED INTERVAL. CF. STAT1619, WHICH IS THE PERMUTATION VERSION OF STAT3018. CF. ALSO STAT1016. STAT94.INP MAY BE UTILIZED AS STAT2013.INP. A CUMULATIVE FILE OF [*]-QUALIFYING EVENTS IS RECORDED IN CUMULAT.OUT. CF. STAT2758. ========================================================================= -- L 3019 -- ( PREDICTING FUTURE INTERSECTIONS FOR A CYCLIC BLOCK OF TEST EVENTS ) XXXXXI STAT3019 READS A LARGE SEQUENCE (E.G., UP TO 10,000 OR MORE INPUT TEST EVENTS) FROM STAT3019.INP AND IMAX K0-ELEMENT STAR EVENTS FROM BASE.INP. THE INPUT SEQUENCE IN STAT3019.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. STAT3019 FILTERS TEST EVENTS FROM STAT3019.INP INTO STAT3019.OUT AND STAT94.INP. INPUT BLOCKS FROM STAT3019.INP ARE ACCEPTED AS [*]- QUALIFIED IF, TMAX .LT. 0 TMAX IS THE NUMBER OF ELAPSED STAR EVENTS OVER WHICH THE INTERSECTION CRITERION SHOULD HAVE BEEN SATISFIED. IMAX+1 IS THE STAR EVENT INDEX SUCCEEDING THE FINAL STAR EVENT. THIS PROCESS IS CYCLICALLY REPEATED OVER ALL STAR EVENTS OF BASE.INP. STAT3019 IS A VARIANT OF STAT1630, STREAMLINING OUTPUT UNTIL AN EXHAUSTIVE SEARCH OVER STAT3019.INP IS COMPLETED FOR QUALIFYING BLOCKS OF K0-ELEMENT EVENTS. HOWEVER, AN EXTENDED SET OF STAR INDICES ARE USED IN SELECTING QUALIFYING BLOCKS OF TEST EVENTS. CF. STAT1506 (AN EMBELLISHMENT OF STAT1323) FOR A VERSION OF STAT3019 WHICH GENERATES BLOCKS OF INPUT EVENTS RANDOMLY. STAT3019 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. QUALIFYING TEST EVENTS ARE RANKED IN ORDER OF MMAX = IMAX+1 - H(II). CF. STAT1619, WHICH IS THE PERMUTATION VERSION OF STAT3019. CF. ALSO STAT1016. STAT94.INP MAY BE UTILIZED AS STAT2013.INP. A CUMULATIVE FILE OF [*]-QUALIFYING EVENTS IS RECORDED IN CUMULAT.OUT. CF. STAT2758 AND STAT3142, A VARIANT OT STAT3019. ========================================================================= -- L 3020 -- ( PREDICTING FUTURE INTERSECTIONS FOR A CYCLIC BLOCK OF TEST EVENTS ) XXXXXII STAT3020 READS A LARGE SEQUENCE (E.G., UP TO 10,000 OR MORE INPUT TEST EVENTS) FROM STAT3020.INP AND IMAX K0-ELEMENT STAR EVENTS FROM BASE.INP. THE INPUT SEQUENCE IN STAT3020.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. STAT3020 FILTERS TEST EVENTS FROM STAT3020.INP INTO STAT3020.OUT AND STAT94.INP. INPUT BLOCKS FROM STAT3020.INP ARE ACCEPTED AS [*]- QUALIFIED IF, TMAX .LT. 0 TMAX IS THE NUMBER OF ELAPSED STAR EVENTS OVER WHICH THE INTERSECTION CRITERION SHOULD HAVE BEEN SATISFIED. IMAX+1 IS THE STAR EVENT INDEX SUCCEEDING THE FINAL STAR EVENT. THIS PROCESS IS CYCLICALLY REPEATED OVER ALL STAR EVENTS OF BASE.INP. STAT3020 IS A VARIANT OF STAT3019, STREAMLINING OUTPUT UNTIL AN EXHAUSTIVE SEARCH OVER STAT3020.INP IS COMPLETED FOR QUALIFYING BLOCKS OF K0-ELEMENT EVENTS. HOWEVER, AN EXTENDED SET OF STAR INDICES ARE USED IN SELECTING QUALIFYING BLOCKS OF TEST EVENTS. CF. STAT1506 (AN EMBELLISHMENT OF STAT1323) FOR A VERSION OF STAT3020 WHICH GENERATES BLOCKS OF INPUT EVENTS RANDOMLY. STAT3020 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. QUALIFYING TEST EVENTS ARE RANKED IN ORDER OF MMAX = IMAX+1 - MMMAX, WHERE MMMAX = S(LMAX) + H(II), WHERE S(LMAX) IS THE MAXIMUM INDEX DISPLACEMENT FOR A [*]-QUALIFYING BLOCK OR EVENT. CF. STAT1619, WHICH IS THE PERMUTATION VERSION OF STAT3020. CF. ALSO STAT1016. STAT94.INP MAY BE UTILIZED AS STAT2013.INP. A CUMULATIVE FILE OF [*]-QUALIFYING EVENTS IS RECORDED IN CUMULAT.OUT. CF. STAT2758. ========================================================================= -- L 3021 -- ( DETERMINING THE TRANSPOSE OF A ( Q0 x K0 )-DIMENSIONAL SUB-BLOCK OF EVENTS TO BE UTILIZED AS A ( K0 x Q0 )-DIMENSIONAL BLOCK OF VECTORS ) STAT3021 READS A FIXED BLOCK OF BMAX K0-ELEMENT TEST EVENTS FROM STAT3021.INP. THE TRANSPOSE OF A ( Q0 x K0 )-DIMENSIONAL SUB-BLOCK OF EVENTS FROM STAT3021.INP IS GENERATED AS A ( K0 x Q0 )-DIMENSIONAL BLOCK OF VECTORS TO BE UTILIZED, E.G., AS STAT201.INP OR STAT361.INP. CF. STAT3018 FOR THE GENERATION OF STAT3021.INP AS STAT94.INP. ========================================================================= -- L 3022 -- ( FILTERING TEST EVENTS FROM AN ARBITRARILY LARGE SEQUENCE FOR WHICH EACH [*]-QUALIFYING EVENT INTERSECTS A FIXED STAR EVENT IN A NUMBER OF ELEMENTS IN THE PRESCRIBED RANGE , [ M1,M2 ] ) STAT3022 READS A LARGE BLOCK OF BMAX K0-ELEMENT TEST EVENTS FROM STAT3022.INP AND A SEQUENCE OF IMAX K0-ELEMENT STAR EVENTS FROM BASE.INP. EACH K0-ELEMENT EVENT IS FILTERED FROM STAT3022.INP INTO STAT3022.OUT WHICH INTERSECTS A FIXED STAR EVENT FROM BASE.INP IN A NUMBER OF ELEMENTS IN THE PRESCRIBED RANGE, [ M1,M2 ], SELECTED BY THE ANALYST, OVER A RANGE OF STAR EVENTS IN BASE.INP. [*]-QUALIFYING EVENTS ARE RECORDED IN STAT3022.OUT. COMPLEMENTARY OR NON-[*]-QUALIFYING EVENTS ARE RECORDED IN STAT3022.OT2. A CUMULATIVE FILE OF [*]-QUALIFYING EVENTS IS RECORDED IN CUMULAT.OUT. STAT3022 IS A VARIANT OF STAT2986. ========================================================================= -- L 3023 -- ( FILTERING SUB-PERMUTATIONS FROM EACH PERMUTATION IN A SEQUENCE ) STAT3023 READS AN INPUT SEQUENCE OF PERMUTATIONS FROM PERM.INP AND SELECTS, FROM EACH INPUT PERMUTATION A SUB-SEQUENCE OF PERMUTATIONS BASED UPON SELECTED PAIRS, [ INIT,ISTEP ], WHERE INIT IS THE INITIAL INDEX AND ISTEP IS THE STEP-SIZE OR INDEX DISPLACEMENT BETWEEN SELECTED ELEMENTS OF EACH INPUT PERMUTATION. A CUMULATIVE FILE OF PERMUTATIONS IS RECORDED IN CUMULAT.OUT. STAT3023 IS A VARIANT OF STAT2901. CF. ALSO STAT117 AND STAT1381. ========================================================================= -- L 3024 -- ( CAPTURING THE LAST Q0 ELEMENTS OVER THE LAST Q0 ROWS IN EACH ONE OF THE K0 COLUMNS OF A SEQUENCE OF STAR EVENTS ) STAT3024 READS A FIXED BLOCK OF IMAX K0-ELEMENT STAR EVENTS FROM BASE.INP. THE ROUTINE THEN CAPTURES FOR STAT201.INP, STAT361.INP, OR STAT368.INP, THE LAST Q0 ELEMENTS OVER THE LAST Q0 ROWS IN EACH ONE OF THE K0 COLUMNS OF THE SEQUENCE OF STAR EVENTS IN BASE.INP. ========================================================================= -- L 3025 -- ( GEOMETRIC DISTRIBUTION FOR FREQUENCIES OF ELEMENTS IN K0 COLUMNS ) STAT3025 READS A SEQUENCE OF IMAX STAR EVENTS FROM BASE.INP AND DETERMINES THE RELATIVE FREQUENCY OF EACH ELEMENT OVER EACH ONE OF THE K0 COLUMNS, BACKING-UP A DETERMINED NUMBER OF EVENTS, IBACK, FROM THE FINAL STAR EVENT. A GEOMETRIC PROBABILITY DISTRIBUTION IS DETERMINED OVER EACH ONE OF THE K0 COLUMNS FOR THE PROBABILITY THAT EACH ELEMENT L OCCURS FOR THE 1ST TIME AFTER IBACK SELECTED STAR EVENTS HAVE ELAPSED. ELEMENTS ARE RANKED OVER THE K0 COLUMNS IN DESCENDING ORDER OF THE ABOVE DETERMINED PROBABLITIES AND RECORDED IN STAT201.INP, STAT361.INP, AND STAT368.INP. STAR EVENTS ARE RECORDED IN REVERSE ORDER, BACKING-UP IBACK EVENTS, WITH PROBABILITY THAT THE 1st OCCURRENCE OF ELEMENT L WILL BE AT STAR EVENT INDEX (IMAX+1), OVER EACH COLUMN K, FOR K = 1,2,...,K0 AND RECORDED IN STAT3025.OT2. A CUMULATIVE FILE OF BLOCKS OF QUALIFYING ELEMENTS IS RECORDED IN CUMULAT.OUT. ELEMENTS WHICH HAVE OCCURRED OVER THE LAST IBACK STAR EVENTS IN EACH OF K0 COLUMNS ARE DISQUALIFIED FROM STAT201.INP, STAT361.INP, AND STAT368.INP. PERM.INP IS GENERATED TO BE UTILIZED IN STAT3121, STAT543, STAT3168, ET AL. IT IS SIGNIFICANT THAT STAT3025 ALSO GENERATES STAT2064.INP FOR UTILIZATION IN STAT2064. ========================================================================= -- L 3026 -- ( GEOMETRIC DISTRIBUTION FOR FREQUENCIES OF ELEMENTS IN A [ BMAX x K0 ]-DIMENSIONAL BLOCK OF STAR EVENTS ) STAT3026 READS A SEQUENCE OF IMAX STAR EVENTS FROM BASE.INP AND DETERMINES THE RELATIVE FREQUENCIES OF L0 ELEMENTS OVER A BLOCK OF STAR EVENTS, BACKING-UP A DESIRED NUMBER OF EVENTS, IBACK, FROM THE FINAL STAR EVENT. A GEOMETRIC PROBABILITY DISTRIBUTION IS DETERMINED OVER THE [ IMAX-IBACK+1 x K0 ]-DIMENSIONAL BLOCK OF STAR EVENTS, WHERE THE PROBABILITY THAT EACH ELEMENT L OCCURS FOR THE 1ST TIME AFTER IBACK SELECTED STAR EVENTS HAVE ELAPSED IS DETERMINED. ELEMENTS ARE RANKED OVER THE K0 COLUMNS IN DESCENDING ORDER OF THE ABOVE DETERMINED PROBABLITIES AND RECORDED IN STAT201.INP, STAT361.INP, AND STAT368.INP. STAR EVENTS ARE RECORDED IN REVERSE ORDER, BACKING-UP IBACK EVENTS, WITH PROBABILITY THAT THE 1st OCCURRENCE OF ELEMENT L WILL BE AT STAR EVENT INDEX (IMAX+1), OVER EACH COLUMN K, FOR K = 1,2,...,K0 AND RECORDED IN STAT3026.OT2. A CUMULATIVE FILE OF BLOCKS OF QUALIFYING ELEMENTS IS RECORDED IN CUMULAT.OUT. ELEMENTS WHICH HAVE OCCURRED OVER THE LAST IBACK STAR EVENTS IN EACH OF K0 COLUMNS ARE DISQUALIFIED FROM STAT201.INP, STAT361.INP, AND STAT368.INP. STAT3026 IS A VARIANT OF STAT3025. ========================================================================= -- L 3027 -- ( GEOMETRIC DISTRIBUTION FOR FREQUENCIES OF ELEMENTS IN A [ BMAX x K0 ]-DIMENSIONAL BLOCK OF STAR EVENTS AND MONITOR MATRIX GENERATOR OF FREQUENCY COUNTS FOR ELEMENTS IN A LARGE SEQUENCE OF K0-ELEMENT EVENTS ) II COMPARES A LARGE SET OF K0-ELEMENT BLOCKS WITH A FINITE BASE SET OF ELEMENTS, DETERMINES THE NUMBER OF ELEMENTS IN EACH EVENT PER BMAX-EVENT BLOCK IN VS. THE BASE SET, DETERMINES THE RELATIVE FREQUENCIES AND SUM OF RELATIVE FREQUENCIES OF COMMON ELEMENTS FOR COMPARISON, AND GENERATES A MONITOR MATRIX REFLECTING THE PATTERNS OF MATCHES FROM THE ABOVE SEQUENCE OF BASE SETS. STAT3027 IS A VARIANT STAT1030 AND STAT1032, ANALYZING K0-ELEMENT TEST EVENTS RATHER THAN PERMUTATIONS, WITH EVENTS FILTERED FROM SUB-BLOCKS OF SIZE BMAX. IF THE EXPECTED FREQUENCY CADENCE = 1/K, THEN STAT3027 TACITLY EXAMINES THE LAST K FREQUENCY COUNTS, INSTEAD OF THE LAST JMAX FREQUENCY COUNTS, WHEN SELECTING [*]-QUALIFYING EVENTS TO BE FILTERED, WHERE K IS A DETERMINED FREQUENCY CADENCE FOR 1 / K EVENTS. CF. STAT1031 AND STAT1036 FOR PERMUTATION REPLICAS. STAT3027 READS SUB-BLOCKS OF BMAX INPUT TEST EVENTS FROM STAT3027.INP AND UP TO 50 INPUT STAR EVENTS FROM BASE.INP. [*]-QUALIFYING EVENTS ARE FILTERED AND RECORDED IN STAT94.INP, RANKED IN DESCENDING ORDER OF PROBABILITY THAT THE 1ST SUCCESS OCCURS AT EVENT IMAX+1, OVER THE LAST IBACK STAR EVENT INDICES SELECTED BY THE ANALYST, WHERE A SUCCESS IS AN INTEERSECTION FREQUENCY OF A QUALIFYING TEST EVENT LYING IN A PRESCRIBED INTERVAL [M1,M2]. STAT3027 IS A HYBRID OF STAT3026 AND STAT2343. CF. STAT2349 FOR THE PERMUTATION VERSION. STAT3027 READS A SEQUENCE OF IMAX STAR EVENTS FROM BASE.INP AND DETERMINES THE RELATIVE FREQUENCIES OF L0 ELEMENTS OVER A BLOCK OF STAR EVENTS, BACKING-UP A DESIRED NUMBER OF EVENTS, IBACK, FROM THE FINAL STAR EVENT. A GEOMETRIC PROBABILITY DISTRIBUTION IS DETERMINED OVER THE [ IMAX-IBACK+1 x K0 ]-DIMENSIONAL BLOCK OF STAR EVENTS, WHERE THE PROBABILITY THAT EACH ELEMENT L OCCURS FOR THE 1ST TIME AFTER IBACK SELECTED STAR EVENTS HAVE ELAPSED IS DETERMINED. ELEMENTS ARE RANKED OVER THE K0 COLUMNS IN DESCENDING ORDER OF THE ABOVE DETERMINED PROBABLITIES AND RECORDED IN STAT201.INP, STAT361.INP, AND STAT368.INP. STAR EVENTS ARE RECORDED IN REVERSE ORDER, BACKING-UP IBACK EVENTS, WITH PROBABILITY THAT THE 1st OCCURRENCE OF ELEMENT L WILL BE AT STAR EVENT INDEX (IMAX+1), OVER EACH COLUMN K, FOR K = 1,2,...,K0 AND RECORDED IN STAT3027.OUT. A CUMULATIVE FILE OF BLOCKS OF QUALIFYING ELEMENTS IS RECORDED IN CUMULAT.OUT. ELEMENTS WHICH HAVE OCCURRED OVER THE LAST IBACK STAR EVENTS IN EACH OF K0 COLUMNS ARE DISQUALIFIED FROM STAT201.INP, STAT361.INP, AND STAT368.INP. STAT3076 IS ALSO A VARIANT OF STAT3025. A CUMULATIVE FILE OF KMAX DESIRED [*]-QUALIFYING EVENTS IS RECORDED IN CUMULAT.OUT. ========================================================================= -- L 3028 -- ( GENERATING K0 ELEMENT EVENTS FROM A FIXED BLOCK VIA A BLOCK OF SELECTED COLUMN-INDEX VECTORS WITH ELEMENTS ADJUSTED (MOD K0) ) STAT3028 READS A FIXED BLOCK OF BMAX K0-ELEMENT TEST EVENTS FROM STAT3028.INP, A SEQUENCE OF CMAX K0-ELEMENT COLUMN-INDEX VECTORS FROM STAT3028.IN2 AND A SEQUENCE OF IMAX K0-ELEMENT STAR EVENTS FROM BASE.INP. THE ELEMENTS OF STAT3028.IN2 ARE AUTOMATICALLY ADJUSTED (MOD K0) FOR A FIXED ELEMENT K0. K0-ELEMENTS ARE THEN GENERATED FROM STAT3028.INP VIA THE COLUMN-INDEX VECTORS OF STAT3028.IN2. THE RESULTING EVENTS ARE INTERSECTED WITH STAR EVENTS. 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. STAT3028 IS A VARIANT OF STAT1650, TACITLY GENERATING A SEQUENCE OF HIGH-PROBABILITY TEST EVENTS IN STAT3028.OUT AND STAT94.INP. STAT1649. CF. STAT1641 FOR GENERATING STAT3028.INP IN THE FORM OF STAT94.INP. CF. ALSO STAT1323, STAT1505, STAT1506, STAT1511, STAT1618 AND STAT1631. INPUT EVENTS IN STAT3028.INP MAY BE TACITLY GENERATED BY STAT1438 AS STAT94.INP. CF. STAT1438. CF. STAT204 FOR THE GENERATION OF STAT3028.INP AND CF. STAT2171 FOR THE GENERATION OF STAT3028.IN2. CF. ALSO STAT1606. A CUMULATIVE FILE OF EVENTS IS RECORDED IN CUMULAT.OUT. CF. STAT2853. ========================================================================= -- L 3029 -- ( CAPTURING THE FIRST Q0 ELEMENTS OVER THE FIRST Q0 ROWS IN EACH ONE OF THE K0 COLUMNS OF A SEQUENCE OF TEST EVENTS ) STAT3029 READS A FIXED BLOCK OF IMAX K0-ELEMENT STAR EVENTS FROM BASE.INP AND A SEQUENCE OF Q0 K0-ELEMENT EVENTS IN STAT3029.INP. THE ROUTINE THEN CAPTURES FOR STAT201.INP, STAT361.INP, OR STAT368.INP, THE FIRST Q0 ELEMENTS OVER THE FIRST Q0 ROWS IN EACH ONE OF THE K0 COLUMNS OF THE SEQUENCE OF TEST EVENTS IN STAT3029.INP. STAT3028 IS A VARIANT OF STAT3024, BUT PROCESSES K0-ELEMENT TEST EVENTS FROM STAT3029.INP, RATHER THAN K0-ELEMENT STAR EVENTS FROM BASE.INP, I.E. , STAT3029 IS THE TEST EVENT VERSION OF STAT3024. ========================================================================= -- L 3030 -- ( PREDICTING FUTURE INTERSECTIONS FOR A CYCLIC BLOCK OF TEST EVENTS UTILIZING A GEOMETRIC PROBABILITY DISTRIBUTION ) STAT3030 READS A LARGE SEQUENCE OF K0-ELEMENT TEST EVENTS FROM STAT3030.INP, A SEQUENCE OF FMAX K0-ELEMENT TRANSLATION VECTORS FROM ST0T3030.IN2, AND A SEQUENCE OF IMAX K0-ELEMENT STAR EVENTS FROM STAT3030.INP AND A SEQUENCE OF IMAX K0-ELEMENT STAR EVENTS FROM BASE.INP. THE INPUT SEQUENCE IN STAT3030.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. STAT3030 FILTERS TEST EVENTS FROM STAT3030.INP INTO STAT3030.OUT AND STAT94.INP. INPUT BLOCKS FROM STAT3030.INP ARE ACCEPTED AS [*]-QUALIFIED iff Property 1 : TMAX IN THE INTERVAL ( -00,1 ] IS SATISFIED. THIS PROCESS IS CYCLICALLY REPEATED OVER ALL STAR EVENTS. STAT3030 IS A VARIANT OF STAT1618, STREAMLINING OUTPUT UNTIL AN EXHAUSTIVE SEARCH OVER STAT3030.INP IS COMPLETED FOR QUALIFYING BLOCKS OF K0-ELEMENT EVENTS. HOWEVER, BLOCKS OF [*]-QUALIFYING EVENTS ARE SELECTED AND RANKED IN DESCENDING ORDER OF PROBABILITY OF OCCURRENCE, BASED UPON A GEOMETRIC DISTRIBUTION. CF. STAT1506 (AN EMBELLISHMENT OF STAT1323), A ROUTINE WHICH GENERATES BLOCKS OF INPUT EVENTS RANDOMLY. STAT3030 USES A SEQUENCE OF CONSECUTIVE INDICES VS. DELTA TO GENERATE THE SPECTRUM OF BLOCKS OF EVENTS WHOSE VALUES OF DELTA MATCH THE GIVEN SEQUENCE OF INDICES WITHIN A DESIRED INTERVAL, WHERE DELTA = IMAX - ( H(II)+MOD(H(II),KCT) ). CF STAT1504. CF. STAT1619, WHICH IS THE PERMUTATION VERSION OF STAT3030. CF. ALSO STAT2383. A TRANSLATED FILE OF [*]-QUALIFYING EVENTS IS RECORDED IN CUMULAT.OUT. CF. ALSO STAT1654. ========================================================================= -- L 3031 -- ( RANKING L0 ELEMENTS IN DESCENDING ORDER OF PROBABILITIES DETERMINED VIA A GEOMETRIC PROBABILITY DISTRIBUTION ) READS A SEQUENCE OF IMAX STAR EVENTS ON THE ELEMENTS ON THE ELEMENTS IN T = < 1, 2, ... , L0 > DETERMINES A (0,1) - OCCURRENCE MATRIX FOR EACH OF THE L0 ELEMENTS OF THE SET T, THE RELATIVE FREQUENCY OF EACH ELEMENT IN T, AND DETERMINES A PROJECTED SEQUENCE OF ELEMENTS FROM T IN PERM.INP, WHICH ARE HIGHLY LIKELY TO OCCUR IN THE NEXT K0-ELEMENT STAR EVENT OF BASE.INP. STAT3031 IS A VARIANT OF STAT933, ANALYZING EACH FIXED ELEMENT OF T, RATHER THAN INTERSECTIONS OF K0-ELEMENT EVENTS VS. THE BASE SET OF STAR EVENTS, BUT FILTERING STAR ELEMENTS, BASED UPON WHETHER OR NOT THE NUMBER OF 0'S SUCCEEDING THE LAST 1 IN THE STAR EVENT INTERSECTION OCCURRENCE SEQUENCE EXCEEDS A DETERMINED THRESHOLD VALUE, M0, BASED UPON STAR EVENT INDEXES. STAT3031 READS UP TO 100 STAR EVENTS IN BASE.INP AND ANALYZES ELEMENTS IN THE RANGE < 1, ... , L0 >, WHERE THE MAXIMUM VALUE OF L0 IS 59. CF. ALSO STAT893, STAT894, STAT899, AND STAT933. VS. THE BASE SET OF STAR EVENTS, BUT FILTERING STAR ELEMENTS, BASED UPON WHETHER OR NOT THE INDEX OF STAR EVENT (IMAX+1-M0) IS CONGRUENT TO 0 (MOD KCT), WHERE M0 IS THE STAR INDEX OF THE FIRST OCCURRING ELEMENT 1 IN THE (0,1) - OCCURRENCE MATRIX AND KCT IS THE NUMBER OF ELAPSED EVENTS PER OCCURRENCE OF A 1 IN THE (0,1) - OCCURRENCE MATRIX FOR EACH OF THE L0 STAR ELEMENTS. M1 IS THE DESIRED THRESHOLD VALUE FOR INDEXES: M1 (MOD KCT). STAT3031 READS UP TO 100 STAR EVENTS IN BASE.INP AND ANALYZES ELEMENTS IN THE RANGE < 1, ... , L0 >, WHERE THE MAXIMUM VALUE OF L0 IS 59. CF. ALSO STAT893, STAT894, STAT899, AND STAT933. STAT3031 IS A VARIANT OF STAT934, BUT UTILIZES A DIFFERENT ALGORITHMIC TECHNIQUE FOR DETERMINING HIGH-PROBABILITY ELEMENTS. L0 ELEMENTS ARE RANKED AS A PERMUTATION IN DESCENDING ORDER OF PROBABILITIES DETERMINED VIA A GEOMETRIC PROBABILITY DISTRIBUTION. ========================================================================= -- L 3032 -- ( GENERATING LEXICOGRAPHIC K0-ELEMENT EVENTS FROM EACH Q0-ELEMENT PERMUTATION OF A FIXED BLOCK OF PERMUTATIONS BY SELECTING EVENTS WHICH HAVE INDICES CONGRUENT TO 1 (MOD M) FOR SOME DESIRED INDEX M ) STAT3032 READS A SEQUENCE OF PERMUTATIONS < P(L,J),J=1,...,ENUM(L) >, L = 1,...,PNUM AND READS, FROM BASE.INP, A SEQUENCE OF IMAX K0-ELEMENT STAR EVENT. THE ROUTINE THEN GENERATES LEXICOGRAPHIC K0-ELEMENT TEST EVENTS FROM EACH Q0-ELEMENT PERMUTATION FROM PERM.INP. THE Q0-ELEMENT PERMUTATIONS MAY BE GENERATED IN STAT2232 OR A SIMILAR ROUTINE. EACH INPUT PERMUTATION IS CHECKED FOR REDUNDANT ELEMENTS AND EACH EACH PERM CONTAINING SUCH A REPETITIVE ELEMENT IS MODIFIED. STAT3032 ALSO READS A SET OF UP TO 400 STAR EVENTS AND THE ANALYST A DESIRED RANGE OF STAR EVENTS IS SELECTED AMD THE ROUTINE DETERMINES ELEMENTS IN COMMON BETWEEN THE SUCCESSOR OF A DESIRED STAR EVENT AND THE SET OF ELEMENTS GENERATED FROM EACH INPUT PERMUTATION. THIS PROCESS IS CYCLICALLY REPEATED FOR A DESIRED SEQUENCE OF SUCCESSIVE STAR EVENTS AND THE ELEMENTS OF A DESIRED RANGE OF STAR EVENTS ARE FLAGGED AS THEY OCCUR AMONG THE ELEMENTS OF EACH OUTPUT PERMUTATION LISTED IN (PERM.OUT) WHICH MAY BE UTILIZED AS INPUT FOR FILE (PERM.INP) IN STAT491. MOREOVER, THE NUMBER AND PERCENTAGE OF 0's , 1's, 2's, 3's, 4's, ... , K0's ARE COMPUTED AS DETERMINED CARDINALITIES OF INTERSECTION NUMBERS BETWEEN 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 A DESIRED RANGE OF SUCCESSIVE STAR EVENTS. STAT3032 IS A VARIANT OF STAT2233, WITH INDEX DISPLACEMENT PARAMETERS FOR SELECTED INDEXES OMITTED AND NOT PROCESSED. HOWEVER, K0-ELEMENT EVENTS SELECTED FROM EACH INPUT PERMUTATION ARE RESTRICTED BY TRUNCATING THE SEARCH PROCESS WHEN THE FINAL INDEX, ENUM(I), OF EACH INPUT PERMUTATION IN PERM.INP IS REACHED. THE ANALYST IS PROMPTED IN REAL TIME FOR A DESIRED INTERVAL OF INDEX VALUES ( MOD K ). THIS ALLOWS FOR THE GENERATION OF THE SPECTRUM OF K0-ELEMENT EVENTS CORRESPONDING TO A GIVEN Q0-ELEMENT SEQUENCE. MOREOVER, THE ROUTINE FILTERS THE GENERATED EVENTS, BY SELECTING ONLY THOSE EVENTS FROM THE SEQUENCE WITH INDICES WHICH ARE CONGRUENT TO AN ELEMENT OF A DESIRED INTEGRAL VECTOR SELECTED BY THE ANALYST, I.E., < M1, M2, M3, M4, ... , M10 > ( MOD T) , FOR SOME DESIRED INTEGER T AND SOME DESIRED SEQUENCE OF POSITIVE INTEGERS M1, M2, M3, M4, M5, M6,M7, M8, M9, AND M10 (NOT NECESSARILY DISTINCT). CF. STAT543, STAT618, STAT915, STAT691, STAT2213, STAT2223, AND STAT2312. CF., ESPECIALLY, STAT2233. ========================================================================= -- L 3033 -- ( FILTERING K0-ELEMENT TEST EVENTS FROM AN ARBITRARILY LARGE SEQUENCE FOR WHICH NONE OF THE K0 ELEMENTS PER EVENT MATCHES THE CORRESPONDING K0 ELEMENTS OF EACH ONE OF THE LAST KMAX SECONDARY TEST EVENTS ) STAT3033 READS AN ARBITRARILY LARGE SEQUENCE OF K0-ELEMENT TEST EVENTS FROM STAT3033.INP, A SEQUENCE OF CMAX K0-ELEMENT SECONDARY EVENTS FROM STAT3033.IN2, AND IMAX K0-ELEMENT STAR EVENTS FROM BASE.INP. K0-ELEMENT EVENTS ARE TRANSLATED FROM STAT3033.INP INTO STAT94.INP FOR WHICH NONE OF THE K0 ELEMENTS PER EVENT MATCHES THE CORRESPONDING K0 ELEMENTS OF EACH ONE OF THE LAST KMAX SELECTED STAR EVENTS. EVENTS ARE INTERSECTED VS. 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. OUTPUT TEST EVENTS ARE RECORDED IN THE FILE STAT94.INP FOR FUTURE PROCESSING 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. STAT3033 IS A VARIANT OF STAT2915, TACITLY GENERATING A SEQUENCE OF HIGH-PROBABILITY TEST EVENTS IN STAT3033.OUT AND STAT94.INP. HOWEVER, QUALIFYING TEST EVENTS FROM STAT3033.INP ARE DETERMINED BY INTERSECTIONS VS. A FIXED SECONDARY BLOCK OF EVENTS IN STAT3033.IN2, RATHER THAN VS. BASE STAR EVENTS IN BASE.INP. A CUMULATIVE FILE OF EVENTS IS RECORDED IN CUMULAT.OUT. CF. STAT1649. CF. STAT1641 FOR GENERATING STAT3033.INP IN THE FORM OF STAT94.INP. CF. ALSO STAT1323, STAT1505, STAT1506, STAT1511, STAT1618 AND STAT1631. EVENTS GENERATED IN STAT94.IN2 SHOULD BE TACITLY REMOVED FROM CUMULAT.OUT AS NON-[*]-QUALIFIED EVENTS. ELEMENTS OF EVENTS ARE INDEXED IN A DESIRED SEQUENTIAL ORDER. CF. STAT2904 FOR AN EXTENDED VERSION OF STAT3033. ========================================================================= -- L 3034 -- ( GENERATING K0-ROWS OF Q(K)-ELEMENT VECTORS CONSISTING OF CONSECUTIVE ELEMENTS DETERMINED FROM K0 INPUT SEQUENCES FOR K = 1,2,...,K0 ) STAT3034 READS A SEQUENCE OF IMAX K0-ELEMENT STAR EVENTS FROM BASE.INP, A SEQUENCE OF K0 Q(K)-ELEMENT VECTORS , K=1,2,...,K0, FROM STAT3034.INP AND GENERATES A SEQUENCE OF K0 VECTORS IN PERM.INP, WHICH CONSISTS OF CONSECUTIVE ELEMENTS FOR FURTHER ANALYSIS, E.G., AS PERM.INP IN STAT2891 OR AS STAT201.INP IN STAT201. STAT3034.INP MAY BE GENERATED AS STAT2751.IN2 BY STAT2751. ========================================================================= -- L 3035 -- ( FILTERING A FIXED NUMBER OF EVENTS FROM A LARGE SEQUENCE FOR WHICH EACH ELEMENT HAS NOT OCCURRED OVER THE LAST Q0 STAR EVENTS ) READS A LARGE SEQUENCE K0-ELEMENT TEST EVENTS FROM STAT3035.INP AND FILTERS EVENTS FROM STAT3035.INP FOR WHICH EACH ELEMENT HAS NOT OCCURRED OVER THE LAST Q0 SELECTED STAR EVENTS. STAT3035 IS A VARIANT AND DUAL OF STAT2745. ========================================================================= -- L 3036 -- ( RANKING EVENTS FROM A LARGE SEQUENCE IN DESCENDING ORDER OF DIFFERENCES OF THE FORM (IMAX+1)-(H(II)+S(II) ) STAT3036 READS A LARGE SEQUENCE OF K0-ELEMENT TEST EVENTS FROM STAT3036.INP, A SEQUENCE OF IMAX K0-ELEMENT STAR EVENTS FROM STAT3036.INP, AND A SEQUENCE OF IMAX K0-ELEMENT STAR EVENTS FROM BASE.INP. THE INPUT SEQUENCE IN STAT3036.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. STAT3036 FILTERS TEST EVENTS FROM STAT3036.INP INTO STAT3036.OUT AND STAT94.INP. INPUT BLOCKS FROM STAT3036.INP ARE ACCEPTED AS [*]-QUALIFIED iff Property 1 : IPROD = (IMAX+1) - (H(II)+S(II)) .GE. 0 IS SATISFIED. THIS PROCESS IS CYCLICALLY REPEATED OVER ALL STAR EVENTS. STAT3036 IS A VARIANT OF STAT3038, STREAMLINING OUTPUT UNTIL AN EXHAUSTIVE SEARCH OVER STAT3036.INP IS COMPLETED FOR QUALIFYING BLOCKS OF K0-ELEMENT EVENTS. HOWEVER, BLOCKS OF [*]-QUALIFYING EVENTS ARE SELECTED AND RANKED IN DESCENDING ORDER OF PROBABILITY OF OCCURRENCE, BASED UPON A GEOMETRIC DISTRIBUTION. CF. STAT1506 (AN EMBELLISHMENT OF STAT1323), A ROUTINE WHICH GENERATES BLOCKS OF INPUT EVENTS RANDOMLY. IS RECORDED IN CUMULAT.OUT. CF. ALSO STAT3030. ========================================================================= -- L 3037 -- ( GENERATING K0-ELEMENT EVENTS FROM A FIXED BLOCK VIA SCROLLING TRIADS OF COLUMNS AND ROWS ) STAT3037 READS A FIXED BLOCK OF BMAX K0-ELEMENT TEST EVENTS FROM STAT3037.INP AND A SEQUENCE OF IMAX K0-ELEMENT STAR EVENTS FROM BASE.INP. K0-ELEMENT EVENTS ARE BENERATED FROM STAT3037.INP VIA SCROLLING TRIADS OF COLUMNS AND ROWS. GENERATED EVENTS ARE THEN 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. STAT3037 IS A VARIANT OF STAT2064, TACITLY GENERATING A SEQUENCE OF HIGH-PROBABILITY TEST EVENTS IN STAT3037.OUT AND STAT94.INP. A CUMULATIVE FILE OF EVENTS IS RECORDED IN CUMULAT.OUT. ========================================================================= -- L 3038 -- ( GENERATING ALL [ n C k0 ] k0-ELEMENT EVENTS FROM PERMUTATIONS OF SIZE n ) I READS A SEQUENCE OF PNUM PERMUTATIONS OF VARYING SIZES AND GENERATES ALL POSSIBLE ( n C k0 ) k0-ELEMENT EVENTS FROM EACH PERMUTATION OF SIZE n , WHERE K0 AND n ARE POSITIVE INTEGERS, k0 < n < 81. MOREOVER, THE ROUTINE FILTERS THE GENERATED EVENTS, BY SELECTING EVENTS FROM THE SEQUENCE WITH INDICES CONGRUENT TO AN ELEMENT OF A DESIRED INTEGRAL VECTOR SELECTED BY THE ANALYST, OF THE FORM < M1, M2, M3, M4, M5, M6, M7, M8, M9, M10 > ( MOD T) , FOR SOME DESIRED INTEGER T AND SOME DESIRED INTEGERS M1, M2, ... , M10. STAT3038 IS A VARIANT OF STAT543, BUT (MOD TT) FOR SELECTING INDICES OF FILTERED EVENTS IS AUTOMATICALLY DETERMINED FROM IMAX / NMAX, WHERE IMAX IS THE NUMBER OF POSSIBLE EVENTS TO BE GENERATED FROM PERM.INP AND NMAX IS THE DESIRED NUMBER OF EVENTS TO BE GENERATED. CF. STAT3040 FOR GENERATION OF PERM.INP. CF. ALSO STAT1401, STAT2144, AND STAT2233. A CUMULATIVE FILE OF [*]-QUALIFYING TEST EVENTS IS GENERATED INTO SET3.OUT. [*]-QUALIFYING EVENTS ARE FILTERED INTO STAT94.IN2. CF. STAT64 FOR GENERATION OF PERM.INP. CF. STAT1401, STAT2144. STAT2144, STAT2213 AND STAT2233. A CUMULATIVE FILE OF [*]-QUALIFYING TEST EVENTS IS GENERATED INTO STAT94.IN2. CF. ALSO STAT1365, STAT1401, STAT1781, STAT1828, STAT2248, STAT2250, AND STAT2312. CF. ALSO STAT1616, STAT2223, AND STAT2501. A SEQUENCE OF V0-ELEMENT TRANSLATION PERMUTATIONS IS READ FROM PERM2.INP AND UTILIZED TO TRANSLATE EACH PERMUTATION RECORDED IN PERM.INP. THE DUALS OF EVENTS IN STAT94.INP ARE RECORDED IN STAT94.IN2. ========================================================================= -- L 3039 -- ( PREDICTING FUTURE INTERSECTIONS FOR ELEMENTS IN < 1,2,3,...,L0> VS. STAR EVENTS UTILIZING THE PROPERTY THAT TMAX LIES IN THE INTERVAL ( -OO, 0 ) AND | TMAX | .GE. KCT, WHERE 1/KCT IS THE OCCURRENCE CADENCE OF AN ELEMENT L OVER THE LAST IMAX STAR EVENTS ) STAT3039 READS A SEQUENCE OF IMAX K0-ELEMENT STAR EVENTS FROM BASE.INP. SEQUENTIAL ELEMENTS FROM < 1,2,...,L0 > ARE INTERSECTED WITH EACH EVENT IN THE SEQUENCE OF STAR EVENTS READ FROM FILE BASE.INP. THE ROUTINE FILTERS A SEQUENCE OF [*]-QUALIFYING ELEMENTS FROM < 1,2,3,...,L0 > IF THEIR PROBABILITIES OF OCCURRING IN THE NEXT STAR EVENT ARE CONTAINED WITHIN AN ANALYST-PRESCRIBED INTERVAL. THE PROGRAM IS AUTOMATICALLY TERMINATED WHEN A SEQUENCE OF Q0 ELEMENTS QUALIFIES AS A HIGH-PROBABILITY SEQUENCE OF ELEMENTS. THE ROUTINE ALSO PREDICTS THE NEXT SUCCESSFUL INTERSECTION INDEX BETWEEN A STAR EVENT AND THE GENERATED BLOCK OF TEST EVENTS. ELEMENTS FROM < 1, 2, 3, ... , L0 > ARE ANALYZED AND DETERMINED TO BE [*]-QUALIFIED iff Property 1 : TMAX LIES IN THE INTERVAL ( -00,0 ) AND | TMAX | .GE. KCT, WHERE 1/KCT IS THE OCCURRENCE CADENCE OF ELEMENT L OVER IMAX STAR EVENTS. STAT3039 IS A VARIANT ELEMENT VERSION OF STAT1618, WHICH ANALYZES K0-ELEMENT TEST EVENTS. A CUMULATIVE SEQUENCE OF [*]-QUALIFYING PERMUTATIONS IS RECORDED IN CUMULAT.OUT. [*]-QUALIFYING ELEMENTS RECORDED IN PERM.INP ARE RANKED IN ASCENDING ORDER OF BETA = TMAX/KCT FOR EACH < L = 1, 2, ... , L0 > . ========================================================================= -- L 3040 -- ( PREDICTING FUTURE INTERSECTIONS FOR A CYCLIC BLOCK OF PERMUTATIONS UTILIZING A GAMMA-EXPONENTIAL PROBABILITY DISTRIBUTION ) STAT3040 READS A LARGE SEQUENCE OF Q(J)-ELEMENT PERMUTATIONS FROM PERM.INP, AND A SEQUENCE OF IMAX K0-ELEMENT STAR EVENTS FROM BASE.INP. THE INPUT SEQUENCE IN PERM.INP IS READ AS A FIXED BLOCK OF Q(J)-ELEMENT PERMUTATIONS AND EACH PERMUTATION IS INTERSECTED VS. EACH EVENT IN THE SEQUENCE OF STAR EVENTS READ FROM FILE BASE.INP. THE ROUTINE FILTERS A SEQUENCE OF BLOCKS OF Q(J)-ELEMENT PERMUTATIONS OF A DESIRED BLOCK-SIZE, M0, E.G., M0 = 1 , 2 , 3 , 4 , ... , 100. THE PROGRAM IS AUTOMATICALLY TERMINATED WHEN A SEQUENCE OF PERMS 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 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 INTERSECTION CARDINALITIES BETWEEN PERMUTATIONS AND EACH BASE 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. STAT3040 FILTERS PERMUTATIONS FROM PERM.INP INTO STAT3040.OUT AND PERM.OUT. INPUT BLOCKS FROM PERM.INP ARE ACCEPTED AS [*]-QUALIFIED iff Property 1 : TMAX IN THE INTERVAL ( -00,1 ] IS SATISFIED. THIS PROCESS IS CYCLICALLY REPEATED OVER ALL STAR EVENTS. STAT3040 IS A VARIANT OF STAT3030, STREAMLINING OUTPUT UNTIL AN EXHAUSTIVE SEARCH OVER PERM.INP IS COMPLETED FOR QUALIFYING BLOCKS OF Q(J)-ELEMENT PERMS. HOWEVER, BLOCKS OF [*]-QUALIFYING PERMUTATIONS ARE SELECTED AND RANKED IN DESCENDING ORDER OF PROBABILITY OF OCCURRENCE, BASED UPON A GEOMETRIC DISTRIBUTION. STAT3040 USES A SEQUENCE OF CONSECUTIVE INDICES VS. DELTA TO GENERATE THE SPECTRUM OF BLOCKS OF EVENTS WHOSE VALUES OF DELTA MATCH THE GIVEN SEQUENCE OF INDICES WITHIN A DESIRED INTERVAL, WHERE DELTA = IMAX - ( H(II)+MOD(H(II),KCT) ). CF STAT1504. ALSO, CF. STAT1619, WHICH IS A VARIANT VERSION OF STAT3040. CF. ALSO STAT2383. A TRANSLATED FILE OF [*]-QUALIFYING EVENTS IS RECORDED IN CUMULAT.OUT. CF. ALSO STAT1654. ========================================================================= -- L 3041 -- ( GENERATING SELECTED DISCRETE RANGES OF SEQUENTIAL EVENTS FROM ALL POSSIBLE [ n C k0 ] k0-ELEMENT EVENTS FROM PERMUTATIONS OF SIZE n ) I READS A SINGLE Q0-ELEMENT PERMUTATION FROM PERM.INP, A DESIRED RANGE OF SEQUENTIAL INDICES OF EVENTS FILTERED FROM STAT3041.INP, AND GENERATES FILTERES A RANGE OF SEQUENTIAL EVENTS FROM ALL POSSIBLE ( n C k0 ) COMBINATIONS OF k0-ELEMENT EVENTS FROM THE PERMUTATION OF SIZE Q0, OUTPUT EVENTS ARE RECORDED AS STAT3042.INP FOR FURTHER FORMATTING. MOREOVER, THE ROUTINE FILTERS THE GENERATED EVENTS, BY SELECTING EVENTS FROM THE SEQUENCE WITH INDICES CONGRUENT TO A DISCRETE, CLOSED INTERVAL, [ K1,K2 ], SELECTED IN REAL-TIME BY THE ANALYST. STAT3041 IS A VARIANT OF STAT543 AND STAT3038, BUT INDICES ARE NOT SELECTED MOD(TT) FOR ANY PARTICULAR INTEGER, TT. IN THE SOURCE CODE, PERM.INP AND NMAX ARE THE INPUT PERMS AND NUMBER OF EVENTS GENERATED. CF. STAT3040 FOR GENERATION OF PERM.INP. CF. ALSO STAT1401, STAT2144, AND STAT2233. A CUMULATIVE FILE OF [*]-QUALIFYING TEST EVENTS IS GENERATED INTO SET3.OUT. [*]-QUALIFYING EVENTS ARE FILTERED INTO STAT94.IN2. CF. STAT64 FOR GENERATION OF PERM.INP. CF. STAT1401, STAT2144. STAT2144, STAT2213 AND STAT2233. A CUMULATIVE FILE OF [*]-QUALIFYING TEST EVENTS IS GENERATED INTO STAT94.IN2. CF. ALSO STAT1365, STAT1401, STAT1781, STAT1828, STAT2248, STAT2250, AND STAT2312. CF. ALSO STAT1616, STAT2223, AND STAT2501. A SEQUENCE OF V0-ELEMENT TRANSLATION PERMUTATIONS IS READ FROM PERM2.INP AND UTILIZED TO TRANSLATE EACH PERMUTATION RECORDED IN PERM.INP. THE DUALS OF EVENTS IN STAT94.INP ARE RECORDED IN STAT94.IN2. ========================================================================= -- L 3042 -- (RE-FORMATTING AND RECORDING A LARGE SEQUENCE OF K0-ELEMENT TEST EVENTS ) STAT3042 READS AN ARBITRARILY LARGE BLOCK OF K0-ELEMENT TEST EVENTS FROM STAT3042.INP, REFORMATS AND RECORDS THE EVENTS IN STAT94.INP. INPUT EVENTS MAY BE GENERATED IN STAT3041 AS STAT3042.INP OR FROM ANOTHER SELECTED ROUTINE. STAT3042 IS A VARIANT OF STAT1477. ========================================================================= -- L 3043 -- MONITOR MATRIX GENERATOR XXXXX FREQUENCY COUNTS FOR ELEMENTS IN A LARGE SEQUENCE OF K0-ELEMENT EVENTS III STAT3043 READS A SEQUENCE OF FMAX TRANSLATION EVENTS FROM STAT3043.IN2, COMPARES A LARGE SET OF K0-ELEMENT BLOCKS WITH A FINITE BASE SET OF ELEMENTS, DETERMINES THE NUMBER OF ELEMENTS IN EACH EVENT PER BMAX-EVENT BLOCK IN VS. THE BASE SET WHICH LIE WITHIN A DESIRED RANGE OF FREQUENCY INTERSECTIONS, [3]-[6}, DETERMINES THE RELATIVE FREQUENCIES AND SUM OF RELATIVE FREQUENCIES OF COMMON ELEMENTS FOR COMPARISON, AND GENERATES A MONITOR MATRIX REFLECTING THE PATTERNS OF MATCHES FROM THE ABOVE SEQUENCE OF BASE SETS. STAT3043 IS A VARIANT OF STAT2437 AND STAT2343, ANALYZING K0-ELEMENT TEST EVENTS RATHER THAN PERMUTATIONS, WITH EVENTS FILTERED FROM SUB-BLOCKS OF SIZE BMAX. IF THE EXPECTED FREQUENCY CADENCE = 1/K, THEN STAT3043 TACITLY EXAMINES THE LAST K FREQUENCY COUNTS, INSTEAD OF THE LAST JMAX FREQUENCY COUNTS, WHEN SELECTING [*]-QUALIFYING EVENTS TO BE FILTERED, WHERE K IS A DETERMINED FREQUENCY CADENCE FOR 1 / K EVENTS. CF. STAT1031 AND STAT1036 FOR PERMUTATION REPLICAS. STAT3043 READS SUB-BLOCKS OF BMAX INPUT TEST EVENTS FROM STAT3043.INP AND UP TO 50 INPUT STAR EVENTS FROM BASE.INP. [*]-QUALIFYING EVENTS ARE FILTERED AND RECORDED IN STAT94.INP, RANKED IN ASCEN/DESCEN ORDER OF CUMULATIVE FREQUENCY SUMS OF TEST EVENTS VS. THE LAST JMAX DESIRED STAR EVENTS IN THE RIGHT TAIL, IDELTA = MTC. STAT3043 IS THE TEST EVENT VERSION OF STAT2438. CF. STAT2438 FOR THE PERMUTATION VERSION. A CUMULATIVE FILE OF [*]-QUALIFYING EVENTS IS RECORDED IN CUMULAT.OUT. CF. STAT2441, STAT2442, AND STAT2437. ========================================================================= -- L 3044 -- ( GENERATING K0-ELEMENT EVENTS FROM ADJACENT SCROLLING HORIZONTAL PAIRS OF ELEMENTS FROM THREE CONSECUTIVE EVENTS IN A FIXED BLOCK ) IV STAT2044 READS A FIXED BLOCK OF BMAX K0-ELEMENT TEST EVENTS FROM STAT2044.INP, A SEQUENCE OF CMAX K0-ELEMENT TRANSLATION EVENTS FROM STAT2044.IN2 AND A SEQUENCE OF IMAX K0-ELEMENT STAR EVENTS FROM BASE.INP. TRANSLATED K0-ELEMENT EVENTS ARE GENERATED FROM INPUT FILE STAT2044.INP VIA SELECTED ADJACENT HORIZONTAL PAIRS OF ELEMENTS FROM THREE CONSECUTIVE EVENTS FROM STAT2044.INP. THE PROCESS IS CYCLICAL AND A TRIAD OF K0-ELEMENT OUTPUT EVENTS IS GENERATED FOR EACH CYCLE. THE ROUTINE 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. STAT2044 IS A VARIANT OF STAT2043 AND STAT2020, GENERATING A SET OF HIGH-PROBABILITY TEST EVENTS IN STAT2044.OUT AND STAT94.INP. HOWEVER, THE BLOCK OF K0-ELEMENT INPUT EVENTS ARE FILTERED BY VECTORS OF THE FORM < M1, M2, M3, M4, ... , M10 > ( MOD T) , FOR AN INTEGER T A SELECTED SEQUENCE OF POSITIVE INTEGERS. CF. STAT1641 AND STAT2003 FOR GENERATING STAT2044.INP IN THE FORM OF STAT94.INP. CF. ALSO STAT1323, STAT1505, STAT1506, STAT1511, STAT1618 AND STAT1631. CF. STAT1856 FOR GENERATION OF STAT2044.INP AS STAT94.INP. STAT2044.INP IS OPTIONALLY INCLUDED AS AN OUTPUT SUB-BLOCK OF STAT94.INP. BASE.INP MAY BE UTILIZED AS STAT2044.INP. ========================================================================= -- L 3045 -- MONITOR MATRIX GENERATOR FILTERING THE TOP Q0 TEST EVENTS VIA CUMULATIVE FREQUENCY SUMS I STAT3045 COMPARES A SEQUENCE OF K0-ELEMENT EVENTS WITH A FINITE BASE SET OF STAR EVENTS, DETERMINES THE NUMBER OF ELEMENTS IN EACH EVENT IN COMMON WITH EACH STAR EVENT, DETERMINES THE RELATIVE FREQUENCIES AND SUM OF RELATIVE FREQUENCIES OF COMMON ELEMENTS FOR COMPARISON, AND GENERATES A MONITOR MATRIX WHICH REFLECTS THE PATTERNS OF INTERSECTIONS FROM THE ABOVE SEQUENCE OF BASE SETS. K0-ELEMENT EVENTS ARE RANKED AND PRINTED ACCORDING TO INTERSECTION PERFORMANCE IN SET1.OUT AND SET2.OUT FOR FURTHER PROCESSING. STAT3045 IS A VARIANT OF STAT1935. THOSE TEST EVENTS ARE FILTERED AS [*]-QUALIFIED WHENEVER DELTA .GE. Q0 FOR SOME DESIRED LOWER BOUND, Q0, AND DELTA = THE CUMULATIVE FREQUENCY SUM OF EACH TEST EVENT VS. THE LAST JMAX STAR EVENTS OF BASE.INP. THIS PROCESS IS CYCLICALLY REPEATED VS. ALL TEST EVENTS IN STAT3045.INP. CF. ALSO STAT2125. A CUMULATIVE FILE OF [*]-QUALIFYING TEST EVENTS IS GENERATED INTO SET3.OUT. [*]-QUALIFYING EVENTS ARE FILTERED INTO SET1.OUT AND SET2.OUT. CF. ALSO SET4.OUT FOR [*]-QUALIFYING EVENTS. ========================================================================= -- L 3046 -- ( PREDICTING A QUALIFYING CONFIGURATION THE NEXT STAR EVENT CONSISTING OF ELEMENTS IN EACH OF K0 COLUMNS WHICH SATISFY AN OCCURRENCE CADENCE CRITERION FOR ELEMENTS RESIDING IN THE PRESCRIBED SEQUENCE < 1,2,3, ... , L0 > ) XXIV STAT3046 READS A SEQUENCE OF IMAX K0-ELEMENT STAR EVENTS FROM BASE.INP. THE ROUTINE PREDICTS A QUALIFYING SEQUENCE OF DISCRETE ELEMENTS FOR EACH OF K0 COLUMNS OF STAR EVENTS BASED UPON A DETERMINED OCCURRENCE CADENCE CRITERION FOR ELEMENTS RESIDING IN THE SET < 1,2,3, ... , L0 > OVER EACH ONE OF THE K0 COLUMNS. STAT3046 IS A VARIANT OF STAT2781, BUT NON-QUALIFYING ELEMENTS IN EACH OF THE K0 COLUMNS ARE ELIMINATED, BASED UPON OCCURRENCE CADENCES OVER ALL IMAX STAR EVENTS. PERM.INP RECORDS [*] QUALIFYERS. STAT201.INP, AND STAT361.INP AS HIGH-PROBABILITY CONFIGURATIONS. CF. ALSO STAT2750, STAT2751, AND STAT2783. STAT3046 READS AND PROCESSES UP TO 1000 STAR EVENTS IN BASE.INP. STAT190 MAY BE UTILIZED TO GENERATE BASE.INP AS STAT3046.INP AND TRANSFERRED TO STAT3046 VIA STAT3046.BAT. STAT201.BAT AND STAT361.BAT ARE UTILIZED TO EXPORT PERM.INP INTO STAT201 AND STAT361, RESPECTIVELY. ========================================================================= -- L 3047 -- ( PREDICTING A QUALIFYING CONFIGURATION FOR THE NEXT STAR EVENT CONSISTING OF ELEMENTS IN [BMAX x K0] - DIMENSIONAL BLOCKS WHICH SATISFY AN OCCURRENCE CADENCE CRITERION FOR ELEMENTS IN THE PRESCRIBED SEQUENCE < 1,2,3, ... , L0 > ) XXV STAT3047 READS A SEQUENCE OF IMAX K0-ELEMENT STAR EVENTS FROM BASE.INP. THE ROUTINE PREDICTS A QUALIFYING SEQUENCE OF DISCRETE ELEMENTS FOR EACH OF K0 COLUMNS OF STAR EVENTS BASED UPON A DETERMINED OCCURRENCE CADENCE CRITERION FOR ELEMENTS RESIDING IN THE SET < 1,2,3, ... , L0 > OVER EACH ONE OF THE K0 COLUMNS. STAT3047 IS A VARIANT OF STAT3046, BUT NON-QUALIFYING ELEMENTS IN [ BMAX x K0 ]-DIMENSIONAL BLOCKS ARE ELIMINATED, BASED UPON CADENCES OVER ALL IMAX STAR EVENTS. PERM.INP RECORDS [*]- QUALIFYERS IN PERM.INP AS HIGH-PROBABILITY CONFIGURATIONS. CF. ALSO STAT2750, STAT2751, AND STAT2783. STAT3047 READS AND PROCESSES UP TO 1000 STAR EVENTS IN BASE.INP. STAT190 MAY BE UTILIZED TO GENERATE BASE.INP AS STAT3047.INP AND TRANSFERRED TO STAT3047 VIA STAT3047.BAT. ========================================================================= -- L 3048 -- ( FILTERING TEST EVENTS FROM AN ARBITRARILY LARGE SEQUENCE FOR WHICH EACH [*]-QUALIFYING EVENT HAS [ M1,M2 ] OF ITS K0 ELEMENTS CONTAINED IN AT LEAST ONE PERMUTATION IN A GIVEN SEQUENCE ) STAT3048 READS A LARGE BLOCK OF BMAX K0-ELEMENT TEST EVENTS FROM STAT3048.INP , A SEQUENCE OF PERMUTATIONS OF SIZE F(j) FROM PERM.INP, AND A SEQUENCE OF IMAX K0-ELEMENT STAR EVENTS FROM BASE.INP. EACH K0-ELEMENT [*]-QUALIFYING EVENT WHICH HAS THE PROPERTY THAT M0 OF ITS K0-ELEMENTS ARE CONTAINED IN AT LEAST ONE PERMUTATION IN PERM.INP, WHERE MO IS IN SOME DESIRED INTERVAL, [ M1,M2 ] , SELECTED IN REAL-TIME BY THE ANALYST. [*]-QUALIFYING EVENTS ARE FILTERED FROM STAT3048.INP AND RECORDED IN STAT94.INP. STAT3048 IS A VARIANT OF STAT2986. PERM.INP MAY BE GENERATED BY STAT3047, ET AL. CF. ALSO STAT3054. ========================================================================= -- L 3049 -- ( CYCLICALLY GENERATING K0 LEXICOGRAPHIC EVENTS FROM EACH EVENT IN A LARGE FIXED BLOCK, WHERE EACH ELEMENT CYCLICALLY BECOMES THE INITIAL ELEMENT OF EACH SUCCESSIVELY GENERATED K0-ELEMENT EVENT ) STAT2803 READS A LARGE SEQUENCE OF TEST EVENTS FROM STAT2803.INP AND A SEQUENCE OF IMAX K0-ELEMENT STAR EVENTS FROM BASE.INP. EVENTS FROM STAT2803.INP ARE CYCLICALLY AND LEXICOGRAPHICALLY TRANSFORMED, WHERE EACH ELEMENT CYCLICALLY BECOMES THE INITIAL ELEMENT OF SUCCESSIVELY GENERATED K0-ELEMENT EVENT. STAT3049 IS A VARIANTE OF STAT2803, BUT TACITLY ALLOWS EACH ELEMENT OF EACH FIXED INPUT EVENT TO SERVE AS THE BONUS ELEMENT, IN PARTICULAR. ========================================================================= -- L 3050 -- ( GENERATING SUB-PERMUTATIONS FROM A BASE SEQUENCE OF STAR EVENTS VIA SUMS, PRODUCTS, AND UNIONS OF UNITS AND TENS DIGITS OF ELEMENTS FROM SELECTED STAR EVENTS ) STAT3050 READS A SEQUENCE OF IMAX K0-ELEMENT STAR EVENTS FROM BASE.INP AND GENERATES SUB-PERMUTATIONS FROM A BASE SEQUENCE OF STAR EVENTS VIA SUMS, PRODUCTS, AND UNIONS OF UNITS AND TENS DIGITS OF ELEMENTS FROM SELECTED STAR EVENTS ON ELEMENTS OF THE SET, < 1, 2, ... , L0 >, AND DETERMINES QNUM SUB-PERMUTATIONS. STAT3050 IS A VARIANT OF STAT3006. ========================================================================= -- L 3051 -- ( FILTERING A SEQUENCE OF K0-ELEMENT EVENTS FROM EACH PERMUTATION OF A FIXED BLOCK BY MEANS OF A SEQUENCE OF SUCCESS-FAILURE PERMUTATIONS WITH ELEMENTS IN {0,1} ) READS A SEQUENCE OF PERMUTATIONS ON ELEMENTS < 1,2, ... , L0 > FROM PERM.INP, A SEQUENCE OF SUCCESS-FAILURE PERMUTATIONS ON ELEMENTS < 0,1 > FROM PERM2.INP, AND A SEQUENCE OF IMAX STAR EVENTS FROM BASE.INP. THE < 0,1 > INDICES OF EACH PERMUTATIONS IN PERM2.INP ARE UTILIZED TO SELECT A SUB-PERMUTATION FROM EACH PERMUTATION OF PERM.INP. THIS PROCESS IS CYCLICALLY REPEATED OVER ALL PERMUTATIONS. THE SEQUENCE OF GENERATED PERMUTATIONS IS RECORDED IN PERM.OUT. IT IS ASSUMED THAT PERMUTATIONS IN PERM.INP AND PERM2.INP ARE OF THE SAME DIMENSION, Q0. CF. ALSO STAT364. ========================================================================= -- L 3052 -- MONITOR MATRIX GENERATOR XXV FREQUENCY COUNTS FOR A SEQUENCE OF ELEMENTS < 1 , 2, ... , L0 > VS. A SEQUENCE OF STAR EVENTS READS A SEQUENCE OF IMAX STAR EVENTS ON THE ELEMENTS ON THE ELEMENTS IN T = < 1, 2, ... , L0 > DETERMINES A (0,1) - OCCURRENCE MATRIX FOR EACH OF THE L0 ELEMENTS OF THE SET T, THE RELATIVE FREQUENCY OF EACH ELEMENT IN T, AND DETERMINES A PROJECTED SEQUENCE OF ELEMENTS FROM T IN PERM.OUT, WHICH ARE HIGHLY LIKELY TO OCCUR IN THE NEXT K0-ELEMENT STAR EVENT OF BASE.INP. STAT3052 IS A VARIANT OF STAT894 AND STAT2761, BUT [*]-QUALIFYING ELEMENTS ARE DETERMINED AND RANKED, BASED UPON OCCURRENCE CADENCES WITHIN UNIONS OF SCROLLING SUB-STRINGS FROM 100 STAR EVENTS OF BASE.INP, RATHER THAN INTERSECTIONS OF TEST EVENTS VS. THE BASE SET OF STAR EVENTS. STAT3052 READS UP TO 100 STAR EVENTS IN BASE.INP AND ANALYZES ELEMENTS IN THE RANGE < 1, ... , L0 >, WHERE THE MAXIMUM VALUE OF L0 IS 59. CF. ALSO STAT893, STAT894, AND STAT2761. A COMPLETE SEQUENCE OF WEIGHTS IS RECORDED AS PERM.INP FOR FOR FILTERING A LARGE SEQUENCE OF K0-ELEMENT EVENTS FROM STAT3054.INP. CF. STAT3054. ========================================================================= -- L 3053 -- MONITOR MATRIX GENERATOR XXXXX FREQUENCY COUNTS FOR ELEMENTS IN A LARGE SEQUENCE OF K0-ELEMENT EVENTS II COMPARES A LARGE SET OF K0-ELEMENT BLOCKS WITH A FINITE BASE SET OF ELEMENTS, DETERMINES THE NUMBER OF ELEMENTS IN EACH EVENT PER BMAX-EVENT BLOCK IN VS. THE BASE SET, DETERMINES THE RELATIVE FREQUENCIES AND SUM OF RELATIVE FREQUENCIES OF COMMON ELEMENTS FOR COMPARISON, AND GENERATES A MONITOR MATRIX REFLECTING THE PATTERNS OF MATCHES FROM THE ABOVE SEQUENCE OF BASE SETS. STAT3053 IS A VARIANT OF STAT2343, STAT1030, AND STAT1032, BUT K0-ELEMENT [*]-QUALIFYING EVENTS ARE DETERMINED VIA THE RELATION IDELTA = ISUM - VSUM, WHERE ISUM IS THE SUM OF OCCURRENCES OF AT LEAST ONE INTERSECTION CARDINALITY [K] OVER THE 50 STAR EVENTS OF BASE.INP AND VSUM = 50 / RATIO, WHERE RATIO IS THE COMPUTED OCCURRENCE CADENCE OF AT LEAST ONE [K] OVER THE 50 STAR EVENTS. MOREOVER, IF THE EXPECTED FREQUENCY CADENCE = 1/K, THEN STAT3053 TACITLY EXAMINES THE LAST K FREQUENCY COUNTS, INSTEAD OF THE LAST JMAX FREQUENCY COUNTS, WHEN SELECTING [*]-QUALIFYING EVENTS TO BE FILTERED, WHERE K IS A DETERMINED FREQUENCY CADENCE FOR 1 / K EVENTS. CF. STAT1031 AND STAT1036 FOR PERMUTATION REPLICAS. STAT3053 READS SUB-BLOCKS OF BMAX INPUT TEST EVENTS FROM STAT3053.INP AND UP TO 50 INPUT STAR EVENTS FROM BASE.INP. [*]-QUALIFYING EVENTS ARE FILTERED AND RECORDED IN STAT94.INP, RANKED IN DESCENDING ORDER OF INDEX DISPLACENT, IDELTA = MTC - IRATIO. STAT3053 IS THE TEST EVENT VERSION OF STAT2349. CF. STAT2349 FOR THE PERMUTATION VERSION. CF. ALSO STAT2514, STAT2604 AND STAT2606. THE TOP KMAX EVENTS FROM STAT94.IN1, STAT94.IN2, STAT94.IN3, AND STAT94.IN4 ARE RECORDED IN STAT94.INP AND IN A CUMULATIVE FILE, CUMULAT.OUT. ========================================================================= -- L 3054 -- ( FILTERING TEST EVENTS FROM AN ARBITRARILY LARGE SEQUENCE FOR WHICH EACH [*]-QUALIFYING EVENT HAS ALL K0 ELEMENTS CONTAINED IN A GIVEN FIXED PERMUTATION ) STAT3054 READS A LARGE BLOCK OF BMAX K0-ELEMENT TEST EVENTS FROM STAT3054.INP , A FIXED PERMUTATION OF SIZE Q0 FROM PERM.INP, AND A SEQUENCE OF IMAX K0-ELEMENT STAR EVENTS FROM BASE.INP. EACH K0-ELEMENT [*]-QUALIFYING EVENT WHICH HAS THE PROPERTY THAT ALL OF ITS K0-ELEMENTS ARE CONTAINED IN A GIVEN FIXED PERMUTATION IN PERM.INP IS FILTERED FROM STAT3054.INP AND RECORDED IN STAT3054.OUT. STAT3054 IS A VARIANT OF STAT3048, BUT ELEMENTS OF PERM.INP IS GENERATED BY STAT3052 AS WEIGHTS OF ELEMENTS IN < 1,2, ... ,L0 >. THE WEIGHT OF EACH EVENT IS THE SUM OF THE WEIGHTS OF ITS ELEMENTS. [*]-QUALIFYING EVENTS ARE RANKED IN DESCENDING ORDER OF WEIGHTS AND RECORDED IN STAT94.INP. A SUB-PERMUTATION Q(J) OF W0 ELEMENTS WITH WEIGHTS .GE. 1 IS FILTERED FROM PERM.INP AND RECORDED IN PERM.OUT. PERM.INP MAY BE TACITLY GENERATED BY STAT3052 AS PERM.OUT. ========================================================================= -- L 3055 -- SELECTED TRANSLATIONS OF SELECTED STRINGS OF PERMUTATION ELEMENTS OF AN ARBITRARY SEQUENCE OF PERMUTATIONS ) STAT3055 READS A SEQUENCE OF IMAX STAR EVENTS ON THE ELEMENTS IN T = < 1, 2, ... , L0 > , AN ARBITRARILY LARGE SEQUENCE OF PERMUTATIONS IN PERM.INP, AND A SEQUENCE OF CMAX 2-ELEMENT TRANSLATION VECTORS IN STAT3055.INP. THE ELEMENTS OF EACH PERMUTATION OF PERM.INP ARE TRANSLATED BY THE PAIR OF ELEMENTS FROM EACH VECTOR OF STAT3055.INP, BASED UPON A DESIRED FIXED INDEX OF CUT-POINT SELECTED BY THE ANALYST. STAT3055 IS THE PERMUTATION VERSION OF STAT2064, WHICH TRANSLATES K0-ELEMENT TEST EVENTS. TRANSLATED PERMUTATIONS ARE RECORDED IN PERM.OUT. ========================================================================= -- L 3056 -- ( SELECTED TRANSLATIONS OF SELECTED STRINGS OF ELEMENTS OF AN ARBITRARY SEQUENCE OF TEST EVENTS ) STAT3056 READS A SEQUENCE OF IMAX STAR EVENTS ON THE ELEMENTS IN T = < 1, 2, ... , L0 > , AN ARBITRARILY LARGE SEQUENCE OF K0-ELEMENT TEST EVENTS IN STAT3056.INP, AND A SEQUENCE OF CMAX 2-ELEMENT TRANSLATION VECTORS IN STAT3056.IN2. THE ELEMENTS OF EACH TEST EVENT OF STAT3056.INP ARE TRANSLATED BY THE PAIR OF ELEMENTS FROM EACH VECTOR OF STAT3056.IN2, BASED UPON A DESIRED FIXED INDEX OF CUT-POINT SELECTED BY THE ANALYST. STAT3056 IS THE TEST EVENT VERSION OF STAT3055, WHICH TRANSLATES K0-ELEMENT PERMUTATIONS. TRANSLATED TEST EVENTS ARE RECORDED IN STAT94.INP. ========================================================================= -- L 3057 -- ( SELECTING F(J) UNIQUE ELEMENTS FROM EACH ONE OF K0 COLUMNS FOR J = 1, ... , K0 ) STAT3057 READS A SEQUENCE OF IMAX STAR EVENTS ON THE ELEMENTS IN T = < 1, 2, ... , L0 > AND A SEQUENCE OF BMAX K0-ELEMENT TEST EVENTS IN STAT3057.INP. THE ROUTINE THEN SELECTS, FOR EACH COLUMN J = 1, ... , K0, F(J) UNIQUE ELEMENTS AND RECORDS THE K0 RESULTING SEQUENCES IN STAT201.INP FOR FURTHER ANALYSIS. STAT3057.INP MAY BE TACITLY GENERATED AS STAT94.INP VIA STAT2895. CF. ALSO STAT3056 AND STAT2894. ========================================================================= -- L 3058 -- RE-FORMATTING EACH PERMUTATION IN A FIXED BLOCK AS A SEQUENCE OF SUB-PERMUTATION STRINGS WHICH MAY BE UTILIZED IN STAT201, STAT361, OR STAT368 ) STAT3058 READS A SEQUENCE OF IMAX STAR EVENTS ON THE ELEMENTS IN T = < 1, 2, ... , L0 > , AND AN ARBITRARILY LARGE SEQUENCE OF PERMUTATIONS IN PERM.INP. EACH PERMUTATION IN PERM.INP IS RE-FORMATTED AS A SEQUENCE OF SUB-PERMUTATION STRINGS WHICH MAY BE UTILIZED IN STAT201, STAT361, OR STAT368. CF. STAT3052 OR STAT3054 FOR THE GENERATION OF PERM.INP. PERMUTATIONS ARE PROCESSED AND THE RESULTING STRINGS ARE RECORDED IN STAT201.INP, STAT361.INP, OR STAT368.INP. THE DIMENSION OF EACH INPUT PERMUTATION IS PRESUMED TO BE A MULTIPLE OF K0, FOR K0-ELEMENT EVENTS TO BE ULTIMATELY GENERATED. ========================================================================= -- L 3059 -- ( CYCLICALLY GENERATING A K0-ELEMENT [*]-QUALIFYING EVENTS FROM A SET OF IMAX K0-ELEMENT STAR EVENTS WITH A SELECTED ELEMENT FROM EACH ONE OF K0 COLUMNS SATISFYING A REQUIRED OCCURRENCE CADENCE UNIQUE TO EACH COLUMN, BASED UPON RELATIVE FREQUENCY OF OCCURRENCES ) XIX ( DUAL OF STAT3060 ) STAT3059 READS A SEQUENCE OF K0-ELEMENT STAR EVENTS FROM BASE.INP, CYCLICALLY GENERATING K0-ELEMENT [*]-QUALIFYING EVENTS WITH A SELECTED ELEMENT FROM EACH ONE OF K0 COLUMNS SATISFYING A REQUIRED OCCURRENCE CADENCE UNIQUE TO EACH COLUMN, BASED UPON RELATIVE FREQUENCY OF OCCURRENCES. STAT3969 IS AN HYBRID OF STAT2894 AND STAT2495 AND A VARIANT OF STAT3060, PROCESSING ELEMENTS IN < 1, ... , L0 > IN REVERSE ORDER. A CUMULATIVE SET OF [*]-QUALIFYING TEST EVENTS IS RECORDED IN CUMULAT.OUT. CF. STAT3060 AND STAT2892. THE UNION OF FILES STAT94.INP GENERATED FROM STAT3059 AND STAT3060 ARE TO BE UTILIZED AS STAT3057.INP. ========================================================================= -- L 3060 -- ( CYCLICALLY GENERATING A K0-ELEMENT [*]-QUALIFYING EVENTS FROM A SET OF IMAX K0-ELEMENT STAR EVENTS WITH A SELECTED ELEMENT FROM EACH ONE OF K0 COLUMNS SATISFYING A REQUIRED OCCURRENCE CADENCE UNIQUE TO EACH COLUMN, BASED UPON RELATIVE FREQUENCY OF OCCURRENCES ) XX ( DUAL OF STAT3059 ) STAT3060 READS A SEQUENCE OF K0-ELEMENT STAR EVENTS FROM BASE.INP, CYCLICALLY GENERATING K0-ELEMENT [*]-QUALIFYING EVENTS WITH A SELECTED ELEMENT FROM EACH ONE OF K0 COLUMNS SATISFYING A REQUIRED OCCURRENCE CADENCE UNIQUE TO EACH COLUMN, BASED UPON RELATIVE FREQUENCY OF OCCURRENCES. STAT3969 IS AB HYBRID OF STAT2894 AND STAT2495 AND A VARIANT OF STAT3059. A CUMULATIVE SET OF [*]-QUALIFYING TEST EVENTS IS RECORDED IN THE FILE CUMULAT.OUT. CF. STAT3059 AND STAT2892. THE UNION OF FILES STAT94.INP GENERATED FROM STAT3059 AND STAT3060 ARE TO BE UTILIZED AS STAT3057.INP. ========================================================================= -- L 3061 -- ( GENERATING K0-ELEMENT EVENTS FROM A FIXED (BMAX x K))-DIMENSIONAL BLOCK VIA K0 SELECTED ELEMENTS OVER TRIADS OF CONTIGUOUS EVENTS AND WING SUB-CONFIGURATIONS FROM CONSECUTIVE PAIRS OF TEST EVENTS ) STAT3048 READS A FIXED BLOCK OF BMAX K0-ELEMENT TEST EVENTS FROM STAT3048.INP AND A SEQUENCE OF IMAX K0-ELEMENT STAR EVENTS FROM BASE.INP. K0-ELEMENT EVENTS ARE GENERATED FROM STAT3061.INP VIA K0 SELECTED ELEMENTS OVER EACH TRIAD OF CONTIGUOUS EVENTS AND WING SUB-CONFIGURATIONS FROM CONSECUTIVE PAIRS OF TEST EVENTS. GENERATED TEST EVENTS ARE RECORDED IN STAT94.INP AND STAT94.IN2. STAT3061 IS A VARIANT OF STAT3048 AND STAT3160. CF. ALSO STAT3054 AND STAT3160. ========================================================================= -- L 3062 -- MONITOR MATRIX GENERATOR XXIX FREQUENCY COUNTS FOR A SEQUENCE OF ELEMENTS < 1 , 2, ... , L0 > VS. A SEQUENCE OF STAR EVENTS READS A SEQUENCE OF IMAX STAR EVENTS ON THE ELEMENTS ON THE ELEMENTS IN T = < 1, 2, ... , L0 > DETERMINES A (0,1) - OCCURRENCE MATRIX FOR EACH OF THE L0 ELEMENTS OF THE SET T, THE RELATIVE FREQUENCY OF EACH ELEMENT IN T, AND DETERMINES A PROJECTED SEQUENCE OF ELEMENTS FROM T IN PERM.INP, WHICH ARE HIGHLY LIKELY TO OCCUR IN THE NEXT K0-ELEMENT STAR EVENT OF BASE.INP. STAT3062 IS A VARIANT OF STAT1015, ANALYZING EACH FIXED ELEMENT OF T, RATHER THAN INTERSECTIONS OF K0-ELEMENT EVENTS VS. THE BASE SET OF STAR EVENTS, BUT FILTERING STAR ELEMENTS, BASED UPON WHETHER OR NOT THE NUMBER OF 0'S SUCCEEDING THE LAST 1 IN THE STAR EVENT INTERSECTION OCCURRENCE SEQUENCE EXCEEDS A DETERMINED THRESHOLD VALUE, M0, BASED UPON STAR EVENT INDEXES. STAT3062 READS UP TO 100 STAR EVENTS IN BASE.INP AND ANALYZES ELEMENTS IN THE RANGE < 1, ... , L0 >, WHERE THE MAXIMUM VALUE OF L0 IS 54. CF. ALSO STAT893, STAT894, STAT899, AND STAT933. VS. THE BASE SET OF STAR EVENTS, BUT FILTERING STAR ELEMENTS, BASED UPON WHETHER OR NOT THE INDEX OF STAR EVENT (IMAX+1-M0) IS CONGRUENT TO 0 (MOD KCT), WHERE M0 IS THE STAR INDEX OF THE FIRST OCCURRING ELEMENT 1 IN THE (0,1) - OCCURRENCE MATRIX AND KCT IS THE NUMBER OF ELAPSED EVENTS PER OCCURRENCE OF A 1 IN THE (0,1) - OCCURRENCE MATRIX FOR EACH OF THE L0 STAR ELEMENTS. M1 IS THE DESIRED THRESHOLD VALUE FOR INDEXES: M1 (MOD KCT). STAT3062 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. STAT3062 IS A VARIANT OF STAT1015, BUT UTILIZES A DIFFERENT ALGORITHMIC TECHNIQUE FOR DETERMINING HIGH-PROBABILITY ELEMENTS, I.E., THE NUMBER OF TRAILING 1"s MEETS A DESIRED MIMIMUM THRESHOLD. SIGNIFICANTLY, STAT3062 GENERATES PERM.OUT AND PERM2.OUT FOR PROCESSING AS PERM.INP IN STAT543, STAT3011, STAT3012, AND STAT3013. CF. STAT1015. ========================================================================= -- L 3063 -- MONITOR MATRIX GENERATOR XXXXX FREQUENCY COUNTS FOR ELEMENTS IN A LARGE SEQUENCE OF K0-ELEMENT EVENTS ( DUAL OF STAT2872 ) II COMPARES A LARGE SET OF K0-ELEMENT BLOCKS WITH A FINITE BASE SET OF ELEMENTS, DETERMINES THE NUMBER OF ELEMENTS IN EACH EVENT PER BMAX-EVENT BLOCK IN VS. THE BASE SET, DETERMINES THE RELATIVE FREQUENCIES AND SUM OF RELATIVE FREQUENCIES OF COMMON ELEMENTS FOR COMPARISON, AND GENERATES A MONITOR MATRIX REFLECTING THE PATTERNS OF MATCHES FROM THE ABOVE SEQUENCE OF BASE SETS. STAT3063 IS A VARIANT STAT2343, BUT EVENTS ARE RANKED ON ISUM THE NUMBER OF 1"s OVER STAR INDICES, WITH EVENTS FILTERED FROM SUB-BLOCKS OF SIZE BMAX. IF THE EXPECTED FREQUENCY CADENCE = 1/K, THEN STAT3063 TACITLY EXAMINES THE LAST K FREQUENCY COUNTS, INSTEAD OF THE LAST JMAX FREQUENCY COUNTS, WHEN SELECTING [*]-QUALIFYING EVENTS TO BE FILTERED, WHERE K IS A DETERMINED FREQUENCY CADENCE FOR 1 / K EVENTS. CF. STAT1031 AND STAT1036 FOR PERMUTATION REPLICAS. STAT3063 READS SUB-BLOCKS OF BMAX INPUT TEST EVENTS FROM STAT3063.INP AND UP TO 50 INPUT STAR EVENTS FROM BASE.INP. [*]-QUALIFYING EVENTS ARE FILTERED AND RECORDED IN STAT94.INP, RANKED IN DESCENDING ORDER OF INDEX DISPLACENT, IDELTA = # Trailing Zeros. STAT3063 IS THE TEST EVENT VERSION OF STAT2349. CF. STAT2349 FOR THE PERMUTATION VERSION. CF. ALSO STAT2514, STAT2604 AND STAT2606. THE TOP KMAX EVENTS FROM STAT94.IN1, STAT94.IN2, STAT94.IN3, AND STAT94.IN4 ARE RECORDED IN STAT94.INP AND IN A CUMULATIVE FILE, CUMULAT.OUT. CF. STAT2343. ========================================================================= -- L 3064 -- MONITOR MATRIX GENERATOR XXXXXX FREQUENCY COUNTS FOR ELEMENTS IN A LARGE SEQUENCE OF Q0-ELEMENT PERMUTATIONS II COMPARES A LARGE SET OF Q0-ELEMENT BLOCKS OF PERMUTATIONS WITH A BASE SET OF ELEMENTS, DETERMINES THE NUMBER OF ELEMENTS IN EACH PERM PER BMAX-EVENT BLOCK IN VS. THE BASE SET, DETERMINES THE RELATIVE FREQUENCIES AND SUM OF RELATIVE FREQUENCIES OF COMMON ELEMENTS FOR COMPARISON, AND GENERATES A MONITOR MATRIX REFLECTING THE PATTERNS OF MATCHES FROM THE ABOVE SEQUENCE OF BASE SETS. STAT3064 IS A VARIANT STAT2349, BUT EVENTS ARE RANKED ON ISUM THE NUMBER OF 1"s OVER STAR INDICES, WITH EVENTS FILTERED FROM SUB-BLOCKS OF SIZE BMAX. IF THE EXPECTED FREQUENCY CADENCE = 1/K, THEN STAT3064 TACITLY EXAMINES THE LAST K FREQUENCY COUNTS, INSTEAD OF THE LAST JMAX FREQUENCY COUNTS, WHEN SELECTING [*]-QUALIFYING PERMS TO BE FILTERED, WHERE K IS A DETERMINED FREQUENCY CADENCE FOR 1 / K EVENTS. CF. STAT1031 AND STAT1036 FOR PERMUTATION REPLICAS. STAT3064 READS SUB-BLOCKS OF BMAX INPUT PERMUTATIONS FROM PERM.INP AND UP TO 50 INPUT STAR EVENTS FROM BASE.INP. [*]-QUALIFYING PERMS ARE FILTERED AND RECORDED IN PERM.OUT, RANKED IN DESCENDING ORDER OF INDEX DISPLACENT, IDELTA = # Trailing Zeros Containing exactly ONE 1. STAT3064 IS THE PERMUTATION VERSION OF STAT2343. CF. STAT2405 FOR THE GENERATION OF K0-ELEMENT EVENTS FROM PERMUTATIONS. THE TOP-RANKING PERMUTATON FROM EACH ONE OF PERM1.OUT, PERM2.OUT, PERM3.OUT, AND PERM4.OUT IS FILTERED RECORDED INTO PERM.OUT. CF. STAT2349. ========================================================================= -- L 3065 -- GENERATING A SEQUENCE OF 2*K0-DIMENSIONAL PERMUTATIONS FROM BIPARTITE PAIRS OF EVENTS IN A FIXED BLOCK OF K0-ELEMENT EVENTS II READS A FIXED BLOCK OF BMAX K0-ELEMENT EVENTS FROM STAT3065.INP, A BLOCK OF K0-ELEMENT STAR EVENTS FROM BASE.INP, A SINGLE NEXT AND A FIXED, SUCCESSIVE STAR EVENT IN BASE2.INP, GENERATING A SEQUENCE OF 2*K0-DIMENSIONAL PERMUTATIONS FROM THE EVENTS OF STAT3065.INP. ALL GENERATED PERMUTATIONS ARE RECORDED IN PERM.INP FOR FURTHER ANALYSIS IN STAT28, STAT2349, OR STAT3064. A CUMULATIVE FILE OF GENERATED PERMUTATIONS IS RECORDED IN CUMULAT.OUT. ========================================================================= -- L 3066 -- RE-FORMATTING A (BMAX X K0)-DIMENSIONAL BLOCK OF EVENTS AS A SEQUENCE OF SUB-PERMUTATION STRINGS WHICH MAY BE UTILIZED IN STAT201, STAT361, OR STAT368 ) II STAT3066 READS A SEQUENCE OF IMAX STAR EVENTS ON THE ELEMENTS IN T = < 1, 2, ... , L0 > , AND A (BMAX X K0)-DIMENSIONAL BLOCK OF K0-ELEMENT TEST EVENTS IN STAT3066.INP. EACH Q0-EVENT SUB-BLOCK IN STAT3066.INP IS RE-FORMATTED AS A SEQUENCE OF SUB-PERMUTATION STRINGS WHICH MAY BE UTILIZED IN STAT201, STAT361, OR STAT368. CF. STAT2343 OR STAT3063 FOR THE GENERATION OF PERM.INP. EVENTS ARE PROCESSED AND THE RESULTING STRINGS ARE RECORDED IN STAT201.INP, STAT361.INP, OR STAT368.INP. STAT3066 IS THE A TEST EVENT VARIANT OF STAT3058. CF. STAT3058. ========================================================================= -- L 3067 -- ( GENERATING ALL POSSIBLE K0-ELEMENT EVENTS FROM A FIXED PAIR OF K0-ELEMENT EVENTS BY SELECTING UNIONS OF ALL TRIADS VS. TRIADS OR TRIADS VS. PAIRS OF STRINGS FROM EVENT I VS. EVENT II ) STAT3067 READS A SEQUENCE OF IMAX STAR EVENTS ON THE ELEMENTS IN T = < 1, 2, ... , L0 > FROM BASE.INP AND A PAIR OF K0-ELEMENT EVENTS FROM STAT3067.INP. ALL POSSIBLE K0-ELEMENT EVENTS ARE GENERATED FROM THE FIXED PAIR OF EVENTS IN STAT3067.INP BY THE SELECTION OF UNIONS OF ALL TRIADS VS. TRIADS OR TRIADS VS. PAIRS OF STRINGS FROM EVENT I VS. EVENT II. GENERATED EVENTS ARE RECORDED IN STAT94.INP. ========================================================================= -- L 3068 -- ( PREDICTING A QUALIFYING CONFIGURATION FOR THE NEXT STAR EVENT CONSISTING OF ELEMENTS IN EACH OF K0 COLUMNS WHICH SATISFY A COMPUTED OCCURRENCE CADENCE BASED UPON IMAX STAR EVENTS AND FILTERING TEST EVENTS HAVING A PRESCRIBED NUMBER OF ELEMENTS SATISFYING THE DETERMINED OCCURRENCE CADENCES ) XXX STAT3068 READS AN ARBITRARILY LARGE SEQUENCE OF TEST EVENTS FROM STAT3068.INP AND A SEQUENCE OF IMAX STAR EVENTS FROM BASE.INP, PREDICTING A QUALIFYING CONFIGURATION FOR THE NEXT STAR EVENT CONSISTING OF ELEMENTS IN EACH OF K0 COLUMNS WHICH SATISFY A COMPUTED OCCURRENCE CADENCE BASED UPON IMAX STAR EVENTS AND FILTERING TEST EVENTS HAVING A PRESCRIBED NUMBER OF ELEMENTS SATISFYING THE DETERMINED OCCURRENCE CADENCES. [*]-QUALIFYING EVENTS ARE FILTERED FROM STAT3068.INP FOR WHICH A PRESCRIBED NUMBER OF ELEMENTS HAVE NOT OCCURRED SINCE THE COMPUTED OCCURRENCE CADENCE OVER THE LAST IMAX STAR EVENTS IN BASE.INP. STAT3068 IS A VARIANT OF STAT2751, BUT DETERMINES THE MOST LIKELY CONFIGURATION OF ONE OF THE ABOVE TYPES, BASED UPON OCCURRENCE CADENCES OVER ALL IMAX STAR EVENTS AND RECORDS THEM IN STAT3068.OT3 AND STAT3068.OUT AS HIGH-PROBABILITY CONFIGURATIONS. CF. ALSO STAT2750 AND STAT2788. STAT3068 GENERATES BOTH STAT2377.IN2 AND STAT2611.IN2 FOR FURTHER PROCESSING. CF. STAT2831. CF. ALSO STAT3063 AND STAT2343. ========================================================================= -- L 3069 -- ( FILTERING AND RANKING K0-ELEMENT EVENTS FROM AN ARBITRARILY LARGE SEQUENCE IN DESCENDING ORDER OF SUMS OF RELATIVE FREQUENCIES OF ALL K0 ELEMENTS PRE-ARRANGED IN LEXICOGRAPHIC ORDER ) READS A LARGE SET OF K0-ELEMENT EVENTS FROM STAT3069.INP, AN ( L0 x K0 )-DIMENSIONAL MATRIX OF RELATIVE FREQUENCIES (GENERATED AS STAT3069.IN2 BY STAT3068), AND A SEQUENCE OF IMAX K0-ELEMENT STAR EVENTS ON THE ELEMENTS IN < 1, 2 , ... , L0 > FROM BASE.INP. K0-ELEMENT TEST EVENTS ARE FILTERED FROM STAT3069.INP AND RANKED IN DESCENDING ORDER OF SUMS OF RELATIVE FREQUENCIES OF K0 ELEMENTS PER EVENT OF STAT3069.INP. ALL K0-ELEMENT EVENTS ARE FILTERED WHICH HAVE A WEIGHT SUM GREATER THAN OR EQUAL TO A MINIMUM SUM, W0, AND LESS THAN OR EQUAL TO A DESIRED OR SELECTED MAXIMUM SUM, W1. [*]-QUALIFYING EVENTS ARE RECORDED IN STAT94.INP. ALL EVENTS IN STAT3069 ARE PRESUMED TO HAVE ELEMENTS ARRANGED IN LEXICOGRAPHIC ORDER, EXCEPT, POSSIBLY, THE BONUS ELEMENT. CF. STAT3107. ========================================================================= -- L 3070 -- ( RANKING ELEMENTS IN < 1 , 2 , ... , L0 > VIA ( L0 x K0 ) - DIMENSIONAL BLOCKS PRE-GENERATED BY STAT3068 AS MATRICES OF RELATIVE FREQUENCIES (x 100 %) AND SUCCESS-FAILURES OF ELEMENTS OVER K0 COLUMNS AND L0 ROWS ) STAT3070 READS AN ( L0 x K0)-DIMENSIONAL BLOCK OF RELATIVE FREQUENCIES OF L0 ELEMENTS OVER K0 COLUMNS FROM STAT3070.INP, AN ( L0 x K0)-DIMENSIONAL BLOCK OF (0,1)-SUCCESS-FAILURES VALUES OF L0 ELEMENTS OVER K0 COLUMNS FROM STAT3070.IN2, A SELECTED K0-DIMENSINAL TRANSLATION VECTOR IN STAT3070.IN3, AND A SEQUENCE OF K0-ELEMENT STAR EVENTS FROM BASE.INP. THE BLOCKS RESIDING IN STAT3070.INP AND STAT3070.IN2 ARE UTILIZED TO GENERATE AND RANK ELEMENTS IN DESCENDING ORDER OF RELATIVE FREQUENCY AND RELATIVE FRQEUWNCY RESTRICTED TO SUCCESS OF RESPECTIVE ELEMENTS. TWO (K0 x Q0)-DIMENSIONAL BLOCKS OF ELEMENTS ARE GENERATED AND RECORDED IN STAT201.INP FOR FURTHER ANALYSIS. STAT3070.INP AND STAT3070.IN2 ARE PRE-GENERATED BY STAT3068 FOR PROCESSING IN STAT3070. STAT201.INP AND STAT201.IN2 ARE UTILIZED TO EXTRACT AND RECORD IN STAT94.INP 2*Q0 HIGHLY LIKELY EVENTS, BASED UPON RELATIVE FREQUENCIES AND OCCURRENCE CADENCES. STAT3070 ALSO GENERATES STAT3073.INP AND STAT3075.INP FOR FURTHER ANALYSIS. ========================================================================= -- L 3071 -- ( GENERATING K0-ELEMENT EVENTS FROM A FIXED BLOCK OF EVENTS VIA BI-PARTITE VERTICAL PAIRS OF ELEMENTS FROM A SEQUENCE OF TRIADS OR QUADRUPLES OF COLUMNS ) STAT3071 READS A SEQUENCE OF BMAX K0-ELEMENT TEST EVENTS FROM STAT3071.INP, WHICH IS UTILIZED TO GENERATE A SEQUENCE OF HIGH- PROBABILITY EVENTS IN STAT94.INP. K0-ELEMENT EVENTS ARE GENERATED VIA BI-PARTITE VERTICAL PAIRS OF ELEMENTS FROM A SEQUENCE OF TRIADS OR QUADRUPLES OF COLUMNS. THE VECTORS IN STAT3071.IN2 ARE OF DIMENSION 3, IF K0 = 5, AND DIMENSION 4, IF K0 = 6. ========================================================================= -- L 3072 -- ( TRANSLATING THE K0 ROWS OF A FIXED BLOCK OF ELEMENTS VIA A SEQUENCE OF KMAX K0-DIMENSIONAL VECTORS ) STAT3072 READS A SEQUENCE OF (K0 x Q0)-DIMENTIONAL BLOCKS OF ELEMENTS FROM STAT3072.INP, A SEQUENCE OF VMAX K0-DIMENSIONAL TRANSLATION VECTORS FROM STAT3072.IN2, AND A SEQUENCE OF IMAX K0-ELEMENT STAR EVENTS FROM BASE.INP. THE VECTORS IN STAT3072.IN2 ARE UTILIZED TO TRANSLATE EACH ELEMENT OF ROW J OF THE FIXED BLOCK BY C(J) UNITS, (J = 1, ... ,K0). TRANSLATED BLOCKS ARE RECORDED IN STAT201.INP FOR FURTHER ANALYSIS. ========================================================================= -- L 3073 -- ( GENERATING K0-ELEMENT EVENTS FROM A (BMAX x K0)-DIMENSIONAL BLOCK AND A SELECTED 3-DIMENSIONAL COLUMN VECTOR VIA A UNION OF VERTICAL PAIRS OF ELEMENTS OVER THE THREE DESIGNATED COLUMNS ) READS A (BMAX x K0)-DIMENSIONAL BLOCK OF EVENTS FROM STAT3073.INP, A 3-DIMENSIONAL COLUMN VECTOR IN REAL TIME, AND A SEQUENCE OF IMAX K0-ELEMENT STAR EVENTS ON THE ELEMENTS IN < 1, 2 , ... , L0 > FROM BASE.INP. A SEQUENCE OF SCROLLING VERTICAL PAIRS OF ELEMENTS IS SELECTED FOR EACH COLUMN DESIGNATED IN THE VECTOR (C(J),J=1,...,3) FROM STAT3073.IN2. A BIPARTITE UNION OF VERTICAL PAIRS OVER ALL THREE COLUMNS IS GENERATED AND RECORDED IN STAT94.INP AS A SEQUENCE OF HIGH-PROBABILITY K0-ELEMENT EVENTS. THE BMAX TEST EVENTS IN STAT3073.INP ARE SUBSEQUENTLY TRANSFORMED INTO STAT3073.IN2 TO BE UTILIZED AS A NEW STAT3073.INP. ========================================================================= -- L 3074 -- ( ELIMINATING DUPLICATE OR REPEATING EVENTS FROM AN ARBITRARILY LARGE SEQUENCE OF K0-ELEMENT EVENTS AND FILTERING OR RECORDING THE REMAINING NON-REPEATING EVENTS ) READS AN ARBITRARILY LARGE SEQUENCE OF K0-ELEMENT EVENTS (ASSUMED TO BE PRE-LISTED IN LEXICOGRAPHIC ORDER) IN STAT3074.INP AND A SEQUENCE OF IMAX K0-ELEMENT STAR EVENTS IN BASE.INP. ALL DUPLICATE OR RPEATING EVENTS IN STAT3074.INP ARE ELIMINATED AND THE REMAINING OR NON-REPEATING EVENTS ARE FILTERED AND RECORDED IN STAT94.INP. ========================================================================= -- L 3075 -- ( GENERATING K0-ELEMENT EVENTS FROM PAIRS OF ELEMENTS CREATED FROM CORRESPONDING POSITIONAL ELEMENTS IN AN OVERLAY OF STAT201.INP AND STAT201.IN2 GENERATED BY STAT3070 ) GENERATES FROM STAT3075.INP A SEQUENCE OF PAIRS OF ELEMENTS DETERMINED FROM AN OVERLAY OF STAT201.INP AND STAT201.IN2 (PRE-DETERMINED AND GENERATED BY STAT3070 AS STAT3075.INP). K0-ELEMENT EVENTS ARE GENERATED IN REAL TIME BY A 3-DIMENSIONAL VECTOR OF SELECTED COLUMNS IDENTIFYING TRI-PARTITE PAIRS OF ELEMENTS FROM THE OVERLAY. THE GENERATED K0-ELEMENT EVENTS ARE RECORDED IN STAT94.INP. ========================================================================= -- L 3076 -- ( GENERATING K0-ELEMENT EVENTS FROM A FIXED BLOCK OF EVENTS VIA SCROLLING HORIZONTAL PAIRS OR SCROLLING HORIZONTAL TRIADS OF ELEMENTS FROM A FIXED (BMAX x K0)-DIMENSIONAL BLOCK OF EVENTS ) STAT3076 READS A SEQUENCE OF BMAX K0-ELEMENT TEST EVENTS FROM STAT3076.INP, WHICH IS UTILIZED TO GENERATE A SEQUENCE OF HIGH- PROBABILITY EVENTS IN STAT94.INP. K0-ELEMENT EVENTS ARE GENERATED VIA SCROLLING HORIZONTAL PAIRS OR SCROLLING HORIZONTAL TRIADS OF ELEMENTS FROM THE FIXED (BMAX x K0)-DIMENSIONAL BLOCK OF EVENTS IN STAT3076.INP. STAT3076 IS A VARIANT OF STAT3071, WHICH GENERATES EVENTS FROM VERTICAL PAIRS OF ELEMENTS IN TRIADS OR QUADRUPLES OF COLUMNS. STAT3076 IS ALSO A TERSE VERSION OF STAT3077. ========================================================================= -- L 3077 -- ( GENERATING K0-ELEMENT EVENTS FROM A FIXED BLOCK OF EVENTS VIA TRI-PARTITE HORIZONTAL PAIRS OR BI-PARTITITE HORIZONTAL TRIADS OF ELEMENTS FROM A FIXED (BMAX x K0)-DIMENSIONAL BLOCK OF EVENTS ) STAT3077 READS A SEQUENCE OF BMAX K0-ELEMENT TEST EVENTS FROM STAT3077.INP, WHICH IS UTILIZED TO GENERATE A SEQUENCE OF HIGH- PROBABILITY EVENTS IN STAT94.INP. K0-ELEMENT EVENTS ARE GENERATED VIA TRI-PARTITE HORIZONTAL PAIRS OR BI-PARTITITE HORIZONTAL TRIADS OF ELEMENTS FROM THE FIXED (BMAX x K0)-DIMENSIONAL BLOCK OF EVENTS IN STAT3077.INP. STAT3077 IS A VARIANT OF STAT3071, WHICH GENERATES EVENTS FROM VERTICAL PAIRS OF ELEMENTS IN TRIADS OR QUADRUPLES OF COLUMNS. ========================================================================= -- L 3078 -- STAT3078 READS A SEQUENCE OF (K0 x Q0)-DIMENSIONAL SUB-BLOCKS IN STAT3078.INP AND GENERATES A SEQUENCE OF BMAX K0-ELEMENT EVENTS IN STAT94.INP, WITH 20 EVENTS GENERATED PER BLOCK. VARIOUS UNIONS OR COMBINATIONS OF COLUMN SUB-VECTORS ARE UTILIZED TO GENERATE EACH K0-ELEMENT EVENT IN STAT94.INP. STAT3078 IS A VARIANT OF STAT201.INP. CF. ALSO STAT361, AND STAT368. ========================================================================= -- L 3079 -- ( GENERATING K0-ELEMENT EVENTS FROM A FIXED BLOCK OF EVENTS BY SELECTING THE Jth NON-REPEATING ELEMENT IN COLUMN J FOR EACH J IN < 1, 2, ... , K0 > ) STAT3079 READS A SEQUENCE OF BMAX K0-ELEMENT TEST EVENTS FROM STAT3079.INP, WHICH IS UTILIZED TO GENERATE A SEQUENCE OF HIGH- PROBABILITY EVENTS IN STAT94.INP. K0-ELEMENT EVENTS ARE GENERATED BY SELECTING THE Jth NON-REPEATING ELEMENT IN COLUMN J FOR EACH J IN < 1, 2, ... , K0 > ) ========================================================================= -- L 3080 -- ( GENERATING K0-ELEMENT EVENTS FROM A FIXED BLOCK OF EVENTS BY SELECTING THE Jth NON-REPEATING ELEMENT IN COLUMN J FOR EACH J IN < 1, 2, ... , K0 > ) II STAT3080 READS A SEQUENCE OF BMAX K0-ELEMENT TEST EVENTS FROM STAT3080.INP, WHICH IS UTILIZED TO GENERATE A SEQUENCE OF HIGH- PROBABILITY EVENTS IN STAT94.INP. K0-ELEMENT EVENTS ARE GENERATED BY SELECTING THE Jth NON-REPEATING ELEMENT IN COLUMN J FOR EACH J IN < 1, 2, ... , K0 >. STAT3080 IS A CYCLICAL EXTENSION OF STAT3079. ========================================================================= -- L 3081 -- ( TRANSLATING AND PREDICTING INTERSECTION PERFORMANCE OF EACH EVENT OF A FIXED BLOCK OF K0-ELEMENT EVENTS ) STAT3081 READS A FIXED BLOCK OF BMAX K0-ELEMENT TEST EVENTS FROM STAT3081.INP, A SEQUENCE OF CMAX K0-ELEMENT TRANSLATION VECTORS FROM STAT3081.IN2 AND A SEQUENCE OF IMAX K0-ELEMENT STAR EVENTS FROM BASE.INP. EACH K0-ELEMENT EVENT IS TRANSLATED BY EACH VECTOR FROM THE SEQUENCE IN STAT3081.IN2 AND THE TRANSFORMED EVENTS ARE 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. STAT3081 IS A VARIANT OF STAT1064, TACITLY GENERATING A SEQUENCE OF HIGH-PROBABILITY TEST EVENTS IN STAT3081.OUT AND STAT94.INP. HOWEVER, THE BLOCK OF K0-ELEMENT INPUT EVENTS IS UTILIZED CYCLICALLY TO GENERATE OUTPUT EVENTS IN STAT94.INP. MODULAR FILTERINGS SELECTS EVENTS FROM THE SEQUENCE HAVING 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 STAT3081.INP ARE INCLUDED AS OUTPUT EVENTS. CF. STAT1649. CF. STAT1641 FOR GENERATING STAT3081.INP IN THE FORM OF STAT94.INP. CF. ALSO STAT1323, STAT1505, STAT1506, STAT1511, STAT1618 AND STAT1631. INPUT EVENTS IN STAT3081.INP MAY BE TACITLY GENERATED BY STAT1438 AS STAT94.INP. CF. STAT1438. CF. STAT204 FOR THE GENERATION OF STAT3081.INP AND CF. STAT2171 FOR THE GENERATION OF STAT3081.IN2. CF. ALSO STAT1606. A CUMULATIVE FILE OF EVENTS IS RECORDED IN CUMULAT.OUT. IN PARTUCULAR, CF. STAT2064. ========================================================================= -- L 3082 -- ( GENERATING SUPPLEMENTARY ELEMENTS FOR EACH GIVEN PERMUTATION ) STAT3082 READS A SEQUENCE OF PERMUTATIONS OF VARIABLE SIZES FROM PERM.INP AND GENERATES SUPPLEMENTARY ELEMENTS FOR EACH PERMUTATION IN THE ARBITRARILY LARGE SEQUENCE. GENERATED PERMUTIONS ARE RECORDED IN PERM.OUT AND A CUMULATIVE SEQUENCE IS RECORDED IN CUMULAT.OUT. CF. ALSO STAT2900, STAT2901, STAT2912, AND STAT1381. ========================================================================= -- L 3083 -- ( GENERATING K0-ELEMENT EVENTS FROM A FIXED BLOCK OF EVENTS BY DETERMINING THE MEANS OF K0 VERTICAL PAIRS OF ELEMENTS FROM CONSECUTIVE PAIRS OF EVENTS ) STAT3083 READS A SEQUENCE OF BMAX K0-ELEMENT TEST EVENTS FROM STAT3083.INP, WHICH IS UTILIZED TO GENERATE A SEQUENCE OF HIGH- PROBABILITY EVENTS IN STAT94.INP. K0-ELEMENT EVENTS ARE GENERATED BY DETERMINING THE MEANS OF K0 VERTICAL PAIRS OF ELEMENTS FROM CONSECUTIVE PAIRS OF EVENTS AND ADDING THE RESULTING EVENTS TO THE INITIAL BLOCK. ========================================================================= -- L 3084 -- ( ELIMINATING DUPLICATE OR REPEATING EVENTS FROM A LARGE SEQUENCE OF K0-ELEMENT EVENTS AND FILTERING OR RECORDING THE REMAINING UNIQUE OR NON-REPEATING EVENTS ) II READS A LARGE SEQUENCE OF K0-ELEMENT EVENTS (ASSUMED TO BE PRE- LISTED IN LEXICOGRAPHIC ORDER) IN STAT3084.INP AND A SEQUENCE OF IMAX K0-ELEMENT STAR EVENTS IN BASE.INP. ALL DUPLICATE OR REPEATING EVENTS IN STAT3084.INP ARE ELIMINATED AND THE REMAINING UNIQUE OR NON-REPEATING EVENTS ARE FILTERED AND RECORDED IN STAT94.INP. STAT3084 IS A VARIANT OF STAT3074, BUT ANALYZES ARBITRARILY LARGE INPUT FILES WHICH CONTAIN AT LEAST 1000 EVENTS. STAT3084 READS INPUT EVENTS IN SUB-BLOCKS OF SIZE 1000 UNTIL EITHER THE INPUT BLOCK IS COVERED OR THE DESIRED NUMBER OF TEST EVENTS HAVE BEEN FILTERED. CF. ALSO STAT3074. ========================================================================= -- L 3085 -- MONITOR MATRIX GENERATOR XXXX FREQUENCY COUNTS FOR A SEQUENCE OF ELEMENTS < 1 , 2, ... , L0 > VS. A SEQUENCE OF STAR EVENTS II READS A SEQUENCE OF IMAX STAR EVENTS ON THE ELEMENTS ON THE ELEMENTS IN T = < 1, 2, ... , L0 > DETERMINES A (0,1) - OCCURRENCE MATRIX FOR EACH OF THE L0 ELEMENTS OF THE SET T, THE RELATIVE FREQUENCY OF EACH ELEMENT IN T, AND DETERMINES A PROJECTED SEQUENCE OF ELEMENTS FROM T IN PERM.INP, WHICH ARE HIGHLY LIKELY TO OCCUR IN THE NEXT K0-ELEMENT STAR EVENT OF BASE.INP. STAT3085 IS A VARIANT OF STAT1015, ANALYZING EACH FIXED ELEMENT OF T, SELECTING [*]-QUALIFYING ELEMENTS DIFFERENTLY VS. THE BASE SET OF STAR EVENTS, BUT FILTERING STAR ELEMENTS, BASED UPON WHETHER OR NOT THE NUMBER OF 1'S OVER THE LAST VMAX STAR EVENTS IS, AT MOST, ONE, WHERE VMAX IS THE OCCURRENCE CADENCE. A DETERMINED THRESHOLD VALUE, M0, BASED UPON STAR EVENT INDEXES. STAT3085 READS UP TO 100 STAR EVENTS IN BASE.INP AND ANALYZES ELEMENTS IN THE RANGE < 1, ... , L0 >, WHERE THE MAXIMUM VALUE OF L0 IS 54. CF. ALSO STAT893, STAT894, STAT899, AND STAT933. VS. THE BASE SET OF STAR EVENTS, BUT FILTERING STAR ELEMENTS, BASED UPON WHETHER OR NOT THE INDEX OF STAR EVENT (IMAX+1-M0) IS CONGRUENT TO 0 (MOD KCT), WHERE M0 IS THE STAR INDEX OF THE FIRST OCCURRING ELEMENT 1 IN THE (0,1) - OCCURRENCE MATRIX AND KCT IS THE NUMBER OF ELAPSED EVENTS PER OCCURRENCE OF A 1 IN THE (0,1) - OCCURRENCE MATRIX FOR EACH OF THE L0 STAR ELEMENTS. M1 IS THE DESIRED THRESHOLD VALUE FOR INDEXES: M1 (MOD KCT). STAT3085 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. STAT3085 IS A VARIANT OF STAT934, BUT UTILIZES A DIFFERENT ALGORITHMIC TECHNIQUE FOR DETERMINING HIGH-PROBABILITY ELEMENTS. SIGNIFICANTLY, STAT3085 GENERATES PERM.OUT AND PERM2.OUT FOR PROCESSING AS PERM.INP IN STAT543, STAT3011, STAT3012, AND STAT3013. CF. STAT1015. ========================================================================= -- L 3086 -- (FILTERING AND RANKING K0-ELEMENT EVENTS FROM AN ARBITRARILY LARGE SEQUENCE IN DESCENDING ORDER OF SUMS OF WEIGHTS OF ALL K0 ELEMENTS) READS A LARGE SET OF K0-ELEMENT EVENTS FROM STAT3086.INP, A SEQUENCE OF L0 WEIGHTS OF ELEMENTS FROM PERM.INP ( GENERATED VIA STAT2916, AS PERM.OUT OR FROM STAT1015 AS PERM2.INP , E.G. ) AND A SEQUENCE OF IMAX K0-ELEMENT STAR EVENTS ON THE ELEMENTS IN THE SEQUENCE < 1, 2 , ... , L0 > FROM BASE.INP. PERM.INP MAY ACTUALLY CONSIST OF FREQUENCIES OR ANY DESIRED WEIGHTS COMPUTED FOR THE L0 ELEMENTS. TEST EVENTS ARE FILTERED FROM STAT3086.INP AND RANKED IN DESCENDING ORDER OF SUMS OF WEIGHTS OF ALL K0 ELEMENTS PER EVENT. AN EVENT IS FILTERED AS [*]-QUALIFIED WHENEVER ITS WEIGHT SUM OVER K0 ELEMENTS EXCEEDS A DESIRED LOWER BOUND SELECTED IN REAL-TIME BY THE ANALYST. AND LESS THAN OR EQUAL TO A DESIRED OR SELECTED MAXIMUM SUM, W1. [*]-QUALIFYING EVENTS ARE RECORDED IN STAT94.INP. THE WEIGHTS IN PERM.INP MAY ALSO BE GENERATED AS PERM.INP IN STAT3246. ========================================================================= -- L 3087 -- ( DETERMINING THE UNION OF ELEMENTS OVER A SEQUENCE OF TEST EVEMTS ) STAT3087 READS A SEQUENCE OF IMAX K0-ELEMENT STAR EVENTS FROM BASE.INP AND A SEQUENCE OF BMAX K0-ELEMENT EVENTS FROM STAT3087.INP AND DETERMINES THE UNION OF UNIQUE ELEMENTS OVER THE ENTIRE SEQUENCE AS A Q0-ELEMENT PERMUTATION, RECORDED IN PERM.INP FOR FUTURE USAGE. A CUMULATIVE FILE OF PERMUTATIONS IS RECORDED IN CUMULAT.OUT. STAT3087 IS A VARIANT AND TEST EVENT OF STAT2912. CF. STAT2912. CF. ALSO STAT2901 FOR THE INTERSECTION OF PERMUTATIONS. ========================================================================= -- L 3088 -- INTERCHANGING ROW ELEMENTS FROM SELECTED COLUMNS AND RE-FORMATTING A SEQUENCE OF (BMAX X Q0)-DIMENSIONAL BLOCKS OF EVENTS AS A NEW SEQUENCE OF SUB-PERMUTATION STRINGS WHICH MAY BE UTILIZED IN STAT201, STAT361, OR STAT368 ) III STAT3088 READS A SEQUENCE OF IMAX STAR EVENTS ON THE ELEMENTS IN T = < 1, 2, ... , L0 > , AND A SEQUENCE OF (BMAX X Q0)- DIMENTIONAL BLOCKS OF K0-ELEMENT TEST EVENTS IN STAT3088.INP. ROW ELEMENTS FROM SELECTED COLUMNS OF EACH Q0-EVENT SUB-BLOCK IN STAT3088.INP INTERCHANGED AND RE-FORMATTED AS A SEQUENCE OF SUB-PERMUTATION STRINGS WHICH MAY BE UTILIZED IN STAT201, STAT361, OR STAT368. CF. STAT2343 OR STAT3063 FOR THE GENERATION OF PERM.INP. EVENTS ARE PROCESSED AND THE RESULTING STRINGS ARE RECORDED IN STAT201.INP, STAT361.INP, OR STAT368.INP. STAT3088 IS A VARIANT OF STAT3066. CF. STAT3066 AND STAT3058. ========================================================================= -- L 3089 -- ( GENERATING K0-ELEMENT EVENTS FROM A FIXED BLOCK OF EVENTS BY SHIFTING THE ROW INDEX OF THE MIDDLE ELEMENT OF EACH ROW BY (+/- 1) INDEX FOR EACH PAIR OF CONSECUTIVE EVENTS ) STAT3089 READS A SEQUENCE OF BMAX K0-ELEMENT TEST EVENTS FROM STAT3089.INP, WHICH IS UTILIZED TO GENERATE A SEQUENCE OF HIGH- PROBABILITY EVENTS IN STAT94.INP. K0-ELEMENT EVENTS ARE GENERATED BY SHIFTING THE ROW INDEX OF THE MIDDLE ELEMENT OF EACH ROW BY ( +/- 1 INDEX ) FOR EACH PAIR OF CONSECUTIVE EVENTS. TEST EVENTS FROM STAT3089.INP ARE OPTIONALLY INCLUDED AS OUTPUT EVENTS RECORDED IN STAT94.INP. ========================================================================= -- L 3090 -- ( FILTERING A FIXED NUMBER OF EVENTS FROM A LARGE SEQUENCE FOR WHICH EACH ELEMENT HAS NOT OCCURRED OVER THE LAST Q0 TEST EVENTS ) II READS A LARGE SEQUENCE K0-ELEMENT TEST EVENTS FROM STAT3090.INP AND FILTERS EVENTS FROM STAT3090.INP FOR WHICH A DESIRED MAXIMUM NUMBER OF ELEMENTS PER EVENT HAVE NOT OCCURRED OVER THE LAST Q0 SELECTED TEST EVENTS OF STAT3090.IN2. STAT3090 IS A VARIANT AND TEST EVENT VERSION OF STAT3035. ========================================================================= -- L 3091 -- ( FILTERING AND RANKING K0-ELEMENT EVENTS FROM AN ARBITRARILY LARGE SEQUENCE IN DESCENDING ORDER OF SUMS OF FREQUENCY WEIGHTS OF ALL K0 ELEMENTS DETERMINED OVER EACH ONE OF K0 SEPARATE COLUMNS ) READS A LARGE SET OF K0-ELEMENT EVENTS FROM STAT3091.INP, A SEQUENCE OF L0 WEIGHTS OF ELEMENTS FROM PERM.INP ( GENERATED VIA STAT2771, AS STAT2771.OUT AND UTILIZED IN STAT3091 AS PERM.INP ), AND A SEQUENCE OF IMAX K0-ELEMENT K0-ELEMENT STAR EVENTS FROM BASE.INP. MAY CONSIST OF FREQUENCIES OR ANY DESIRED WEIGHTS FOR L0 ELEMENTS. TEST EVENTS ARE FILTERED FROM STAT3091.INP AND RANKED IN DESCENDING ORDER OF SUMS OF WEIGHTS OF ALL K0 ELEMENTS PER EVENT. AN EVENT IS FILTERED AS [*]-QUALIFIED WHENEVER ITS WEIGHT SUM OVER K0 ELEMENTS EXCEEDS A DESIRED LOWER BOUND SELECTED IN REAL-TIME BY THE ANALYST. STAT3091 IS A VARIANT OF STAT3086. HOWEVER, FREQUECY WEIGHTS OF ELEMENTS ARE DETERMINED IN REAL-TIME FROM STAT2771.OUT (RENAMED PERM.INP FOR STAT3091) OVER EACH ONE OF K0 SEPARATE COLUMNS. [*]-QUALIFYING EVENTS ARE RECORDED IN STAT94.INP. ========================================================================= -- L 3092 -- ( DETERMININING NORMALLY DISTRIBUTED WEIGHTS ) DETERMINING THE WEIGHTS OF EACH ELEMENT L FROM A SEQUENCE OF FUNCTIONAL VALUES, < F(L) > , L = 1, 2, ... , L0 , BASED UPON THE DEVIATIONS OF EACH F(L) FROM THE MEAN OF ( < F(L) > , L = 1, ... ,L0 ) I STAT3092 READS A BLOCK OF IMAX STAR EVENTS FROM BASE.INP ON THE ELEMENTS IN , L = 1, 2, ... , L0 AND A SEQUENCE OF L0 FUNCTIONAL VALUES, ( ,L = 1, ... , L0 ) FROM PERM.INP. THE WEIGHT OF EACH ELEMENT L IS DETERMINED FROM < F(L) > , WHERE WT(L) = KMAX - | MEAN( - F(L) | , WHERE KMAX IS THE MAXIMUM VALUE OF F(L) OVER ALL VALUES OF L = 1, ... , L0 . THE WEIGHTS, ( < WT(L) > , L = 1, ... , L0 ) ARE RECORDED IN PERM.OUT FOR FURTHER ANALYSIS IN OTHER ROUTINES, E.G., STAT3086. THIS PROCESS IS CYCLICALLY REPEATED FOR ANY DESIRED NUMBER OF INPUT PERMUTATIONS IN PERM.INP. STAT3092 IS A VARIANT OF STAT3218. ========================================================================= -- L 3093 -- ( RANKING THE L0 ELEMENTS FROM THE FUNCTIONAL VALUES OR WEIGHTS OF EACH PERMUTATION IN A SEQUENCE IN EITHER DESCENDING OR ASCENDING ORDER FUNCTIONAL VALUES OR WEIGHTS OF ELEMENTS L FROM , L = 1 , ... , L0 ) READS AN ARBITRARILY LARGE SEQUENCE OF PERMUTATIONS CONSISTING OF WEIGHTS OR ARBITRARY FUNCTIONS OF ELEMENTS FROM PERM.INP AND A SEQUENCE OF K0-ELEMENT STAR EVENTS ON THE ELEMENTS <1 , ... , L0>. THE L0 ELEMENTS FROM EACH PERMUTATION IN PERM.INP ARE RANKED IN EITHER DESCENDING OR ASCENDING ORDER OF WEIGHTS OR FUNCTIONAL VALUES OF ELEMENTS L FROM , L = 1 , ... , L0 ) AND RECORDED IN PERM.OUT FOR FURTHER ANALYSIS. ========================================================================= -- L 3094 -- DETERMINES THE FREQUENCIES OF ELEMENTS FROM A SEQUENCE OF j-ELEMENT BLOCKS, THE SUM OF FREQUENCIES AND THE AVERAGE FREQUENCY OVER k EVENTS, SORTS THE FREQUENCIES AND DETERMINES THE TOP t MOST FREQUENT ELEMENTS AND THE BOTTOM t LEAST FREQUENT ELEMENTS, AND DETERMINES SEQUENCES OF PROBABLE ELEMENTS BASED UPON ARBITRARY PRESCRIBED DISTANCES FROM THE AVERAGE FREQUENCY. STAT3094 ALSO GENERATES A VERSION OF STAT1048.IN2. STAT3094 GENERATES THE FILE STAT2522.IN2 FOR RANKING AND FILTERING TEST EVENTS IN DESCENDING ORDER OF ELEMENT FREQUENCY SUMS. STAT3094 ALSO GENERATES THE HIGH-PROBABILITY FILE, PERM.INP. CF. ALSO STAT2524. STAT3094 IS A VARIANT OF STAT5, BUT READS A SEQUENCE OF FREQUENCY DEVIATION VECTORS (FROM THE MEAN FREQ) IN THE STAT3094.INP, RATHER THAN IN REAL-TIME FROM THE ANALYST. ========================================================================= -- L 3095 -- ( GENERATING SCROLLING V0-ELEMENT SUBSTRINGS FOR EACH PERMUTATION OF A FIXED BLOCK ) READS AN ARBITRARILY LARGE SEQUENCE OF PERMUTATIONS OF VARYING DIMENSIONS FROM PERM.INP AND A SEQUENCE OF K0-ELEMENT STAR EVENTS ON THE ELEMENTS <1 , ... , L0>. SCROLLING V0-ELEMENT SUB-STRINGS ARE GENERATED FROM EACH PERMUTATION OF PERM.INP. SUBPERMUTATIONS ARE RECORDED IN PERM.OUT FOR FURTHER ANALYSIS, E.G., IN STAT543, ET AL. ========================================================================= -- L 3096 -- ( DETERMINING A SEQUENCE OF TMAX VALUES OVER THE LAST Q0 STAR EVENTS WITH THE Kth STAR EVENT INTERSECTED VS. THE LAST BMAX STAR EVENTS ) XXXXX STAT3096 READS IMAX K0-ELEMENT STAR EVENTS FROM BASE.INP AND THE Kth STAR EVENT OVER THE LAST Q0 STAR EVENTS IS INTERSECTED WITH THE PREVIOUS BMAX STAR EVENTS FOR SOME DESIRED BLOCK-SIZE, BMAX. 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. STAT3096 FILTERS TEST EVENTS FROM STAT3096.INP INTO STAT3096.OUT AND STAT94.INP. INPUT BLOCKS FROM STAT3096.INP ARE ACCEPTED AS [*]- QUALIFIED IF, TMAX IS IN [ T1,T2 ] , WHERE TMAX IS THE EXPECTED NUMBER OF STAR INDICES OVER WHICH A [*]-QUALIFYING TEST EVENT SHOULD EITHER BE EXPECTED TO OCCUR OR SHOULD HAVE ALREADY OCCURRED. THIS PROCESS IS CYCLICALLY REPEATED OVER ALL STAR EVENTS OF BASE.INP. STAT3096 IS A VARIANT OF STAT1618, STREAMLINING OUTPUT UNTIL AN EXHAUSTIVE SEARCH OVER STAT3096.INP IS COMPLETED FOR QUALIFYING BLOCKS OF K0-ELEMENT EVENTS. HOWEVER, AN EXTENDED SET OF STAR INDICES ARE USED IN SELECTING QUALIFYING BLOCKS OF TEST EVENTS. CF. STAT1506 (AN EMBELLISHMENT OF STAT1323) FOR A VERSION OF STAT3096 WHICH GENERATES BLOCKS OF INPUT EVENTS RANDOMLY. STAT3096 USES A SEQUENCE OF CONSECUTIVE INDICES VS. TMAX TO GENERATE THE SPECTRUM OF BLOCKS OF EVENTS WHOSE VALUES OF TMAX MATCH THE GIVEN SEQUENCE OF INDICES WITHIN A DESIRED INTERVAL. CF. STAT1619, WHICH IS THE PERMUTATION VERSION OF STAT3096. CF. ALSO STAT1016. STAT94.INP MAY BE UTILIZED AS STAT2013.INP. A CUMULATIVE FILE OF [*]-QUALIFYING EVENTS IS RECORDED IN CUMULAT.OUT. CF. STAT2758. ========================================================================= -- L 3097 -- ( PREDICTING FUTURE INTERSECTIONS FOR A CYCLIC BLOCK OF TEST EVENTS ) XXXXI STAT3097 READS A LARGE SEQUENCE (E.G., UP TO 10,000 OR MORE INPUT TEST EVENTS) FROM STAT3097.INP AND IMAX K0-ELEMENT STAR EVENTS FROM BASE.INP. THE INPUT SEQUENCE IN STAT3097.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. STAT3097 FILTERS TEST EVENTS FROM STAT3097.INP INTO STAT3097.OUT AND STAT94.INP. INPUT BLOCKS FROM STAT3097.INP ARE ACCEPTED AS [*]- QUALIFIED IF, TMAX IS IN PERM.INP, WHERE TMAX IS THE EXPECTED NUMBER OF STAR INDICES OVER WHICH A [*]-QUALIFYING TEST EVENT SHOULD EITHER BE EXPECTED TO OCCUR OR SHOULD HAVE ALREADY OCCURRED. THIS PROCESS IS CYCLICALLY REPEATED OVER ALL STAR EVENTS OF BASE.INP. STAT3097 IS A VARIANT OF STAT1631. HOWEVER, { TMAX } VALUES ARE READ FROM PERM.INP, RATHER THAN IN REAL-TIME FROM THE ANALYST AS AN INTERVAL OF THE FORM [T1,T2]. HOWEVER, AN EXTENDED SET OF STAR INDICES ARE USED IN SELECTING QUALIFYING BLOCKS OF TEST EVENTS. CF. STAT1506 (AN EMBELLISHMENT OF STAT1323) FOR A VERSION OF STAT3097 WHICH GENERATES BLOCKS OF INPUT EVENTS RANDOMLY. STAT3097 USES A SEQUENCE OF CONSECUTIVE INDICES VS. TMAX TO GENERATE THE SPECTRUM OF BLOCKS OF EVENTS WHOSE VALUES OF TMAX MATCH THE GIVEN SEQUENCE OF INDICES WITHIN A DESIRED INTERVAL. CF. STAT1619, WHICH IS THE PERMUTATION VERSION OF STAT3097. CF. ALSO STAT1016. STAT94.INP MAY BE UTILIZED AS STAT2013.INP. A CUMULATIVE FILE OF [*]-QUALIFYING EVENTS IS RECORDED IN CUMULAT.OUT. CF. ALSO STAT2758. ========================================================================= -- L 3098 -- ( FILTERING A SEQUENCE OF EVENTS FROM A LARGE SEQUENCE FOR WHICH THE K0 ELEMENTS DO NOT EXCEED THE CORRESPONDING COMPONENTS OF A PRESCRIBED K0-DIMENSIONAL VECTOR AND FOR WHICH THE SEQUENCE OF STAR EVENTS SATISFIES THE SAME THRESHOLD TYPE CONFIGURATION ) ( HYBRID OF STAT2552, STAT2796 AND STAT2880 ) STAT3098 READS TWO K0-ELEMENT VECTORS FROM STAT3098.IN2 WHOSE CORRESPONDING COMPONENTS ARE K0 LOWER/UPPER BOUNDS FOR COLUMN ELEMENTS AND ALSO READS A LARGE SEQUENCE OF K0-ELEMENT TEST EVENTS FROM STAT3098.INP. EVENTS ARE FILTERED FOR WHICH THE K0 ELEMENTS EXCEED THE CORRESPONDING COMPONENTS OF A PRESCRIBED K0-DIMENSIONAL VECTOR AND FOR WHICH THE SEQUENCE OF STAR EVENTS SATISFIES THE SAME THRESHOLD TYPE CONFIGURATION AND THE PROCESS IS CYCLICALLY REPEATED. STAT3098 ALSO READS A SEQUENCE OF IMAX K0-ELEMENT STAR EVENTS FROM BASE.INP AND GENERATED TEST EVENTS ARE INTERSECTED WITH THE SEQUENCE OF STAR EVENTS FROM BASE.INP. PROCESSING IS TERMINATED WHEN A DESIRED NUMBER , KMAX, OF TEST EVENTS IS FILTERED FROM STAT3098.INP. STAT3098 AN HYBRID STAT2552, STAT2796, AND STAT2880, GENERATING HIGH-PROBABILITY TEST EVENTS IN STAT3098.OUT AND STAT94.INP. CF. STAT2552 AND STAT3098. A CUMULATIVE FILE OF RANGES IS RECORDED IN CUMULAT.OUT. STAT3098 ALSO GENERATES STAT201.INP FROM THE FILE STAT3098.IN2 FOR FURTHER ANALYSIS IN STAT201. ========================================================================= -- L 3099 -- ( GENERATING K0-ELEMENT EVENTS FROM A FIXED BLOCK OF EVENTS VIA BI-PARTITE ADJACENT COLUMNS (1 AND 2) UNION A SELECTED ROW OR TRI-PARTITE ADJACENT COLUMNS (1, 2, AND 3) UNION A SELECTED ROW ) STAT3099 READS A SEQUENCE OF BMAX K0-ELEMENT TEST EVENTS FROM STAT3099.INP, WHICH IS UTILIZED TO GENERATE A SEQUENCE OF HIGH- PROBABILITY EVENTS IN STAT94.INP. K0-ELEMENT EVENTS ARE GENERATED VIA BI-PARTITE ADJACENT COLUMNS (1 AND 2) UNION A SELECTED ROW OR TRI-PARTITE ADJACENT COLUMNS (1, 2, AND 3) UNION A SELECTED ROW. ========================================================================= -- L 3100 -- ( GENERATING A SEQUENCE OF K0-ELEMENT EVENTS FROM A FIXED BLOCK OF BMAX EVENTS BY THE SELECTION OF A COMPLETE SET OF K0-PARTITE ELEMENTS OVER ALL BMAX EVENTS ) STAT3100 READS A FIXED BLOCK OF BMAX K0-ELEMENT TEST EVENTS FROM STAT3100.INP AND A SEQUENCE OF IMAX K0-ELEMENT STAR EVENTS FROM BASE.INP. A COMPLETE SET OF K0-ELEMENT EVENTS IS GENERATED FROM K0-PARTITE ELEMENTS OVER THE K0 COLUMNS OF EVENTS IN STAT3100.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. STAT3100 IS A VARIANT OF STAT3081, TACITLY GENERATING A SEQUENCE OF HIGH-PROBABILITY TEST EVENTS IN STAT3100.OUT AND STAT94.INP. HOWEVER, THE BLOCK OF K0-ELEMENT INPUT EVENTS IS UTILIZED CYCLICALLY TO GENERATE OUTPUT EVENTS IN STAT94.INP. MODULAR FILTERINGS SELECTS EVENTS FROM THE SEQUENCE HAVING 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 STAT3100.INP ARE INCLUDED AS OUTPUT EVENTS. CF. STAT1649. CF. STAT1641 FOR GENERATING STAT3100.INP IN THE FORM OF STAT94.INP. CF. ALSO STAT1323, STAT1505, STAT1506, STAT1511, STAT1618 AND STAT1631. INPUT EVENTS IN STAT3100.INP MAY BE TACITLY GENERATED BY STAT1438 AS STAT94.INP. CF. STAT1438. CF. STAT204 FOR THE GENERATION OF STAT3100.INP AND CF. STAT2171 FOR THE GENERATION OF STAT3100.IN2. CF. ALSO STAT1606. A CUMULATIVE FILE OF EVENTS IS RECORDED IN CUMULAT.OUT. IN PARTUCULAR, CF. STAT2064. ========================================================================= -- L 3101 -- ( GENERATING K0-ELEMENT EVENTS FROM A FIXED BLOCK OF BMAX EVENTS VIA DESIRED VERTICAL SHIFTS OF ELEMENTS IN A SELECTED COLUMN BY KSHIFT INDICES FOR SOME DESIRED VERTICAL DISPLACEMENT KSHIFT ) STAT3101 READS A SEQUENCE OF BMAX K0-ELEMENT TEST EVENTS FROM STAT3101.INP, WHICH IS UTILIZED TO GENERATE A SEQUENCE OF HIGH- PROBABILITY EVENTS IN STAT94.INP. K0-ELEMENT EVENTS ARE GENERATED VIA DESIRED VERTICAL OR CYCLICAL SHIFTS OF ELEMENTS IN A SELECTED COLUMN BY KSHIFT INDICES FOR SOME DESIRED INTEGER DISPLACEMENT, KSHIFT. ========================================================================= -- L 3102 -- ( GENERATING K0-ELEMENT EVENTS FROM A FIXED BLOCK OF BMAX EVENTS VIA DESIRED VERTICAL SHIFTS OF ELEMENTS IN SELECTED COLUMNS UTILIZING A DESIRED SEQUENCE OF K0-ELEMENT COLUMN-INDEX-SHIFT VECTORS, < S(1),S(2), ... , S(K0 > ) II STAT3102 READS A SEQUENCE OF CMAX K0-ELEMENT COLUMN-INDEX-SHIFT VECTORS FROM STAT3102.IN2 AND BMAX K0-ELEMENT TEST EVENTS FROM STAT3102.INP, WHICH IS UTILIZED TO GENERATE A SEQUENCE OF HIGH- PROBABILITY EVENTS IN STAT94.INP. K0-ELEMENT EVENTS ARE GENERATED VIA DESIRED VERTICAL OR CYCLICAL SHIFTS OF ELEMENTS OVER K0 COLUMNS, FOR A SEQUENCE OF DESIRED INTEGER DISPLACEMENTS LISTED AS < S(1),S(2), ... , S(K0) > IN STAT3102.IN2. STAT3102 IS AN EXTENDED VERSION AND VARIANT OF STAT3101. ========================================================================= -- L 3103 -- ( GENERATING 2*K0-ELEMENT PERMUTATIONS FROM A FIXED BLOCK OF BMAX K0-ELEMENT EVENTS BY TRANSLATING EACH ONE OF THE K0 ELEMENTS OF EACH EVENT BY (+,-) Q0 UNITS TO GENERATE 2*K0 RANGES OF VALUES RECORDED IN THE 2*K0-ELEMENT BMAX PERMUTATIONS ) STAT3103 READS A SEQUENCE OF BMAX K0-ELEMENT TEST EVENTS FROM STAT3103.INP. 2*K0-ELEMENT PERMUTATIONS ARE GENERATED FROM STAT3103.INP BY TRANSLATING EACH ONE OF THE K0 ELEMENTS OF EACH EVENT BY (+,-) Q0 UNITS TO GENERATE 2*K0 RANGES OF VALUES RECORDED IN THE 2*K0-ELEMENT BMAX PERMUTATIONS OF PERM.INP. ========================================================================= -- L 3104 -- ( GENERATING 9-ELEMENT PERMUTATIONS FROM A FIXED BLOCK OF BMAX 2*K0-ELEMENT PERMUTATIONS BY TRANSLATING SELECTED TRIADS FROM THE 2*K0 ELEMENTS OF EACH PERMUTATION BY (+,-) D(J) UNITS, FOR J = 1,3 ) STAT3104 READS A SEQUENCE OF BMAX 2*K0-ELEMENT PERMUTATIONS FROM STAT3104.INP, PRE-GENERATED BY STAT2864 OR STAT3103. A SEQUENCE OF 9-ELEMENT PERMUTATIONS IS GENERATED FROM STAT3104.INP BY TRANSLATING SELECTED TRIADS FROM THE 2*K0 ELEMENTS OF EACH INPUT PERMUTATION BY (+,-) D(J) UNITS, FOR J = 1,...,3 AND SUBSEQUENTLY RECORDED IN PERM.INP FOR OTHER ROUTINES, E.G., STAT543. ========================================================================= -- L 3105 -- ( GENERATING 12-ELEMENT PERMUTATIONS FROM A FIXED BLOCK OF BMAX 2*K0-ELEMENT PERMUTATIONS BY TRANSLATING SELECTED TRIADS FROM THE 2*K0 ELEMENTS OF EACH PERMUTATION BY (+,-) D(J) UNITS, FOR J = 1,4 FOR EVENT DIMENSION K0 = 6 ) STAT3104 READS A SEQUENCE OF BMAX 2*K0-ELEMENT PERMUTATIONS FROM STAT3104.INP, PRE-GENERATED BY STAT2864 OR STAT3103. A SEQUENCE OF 12-ELEMENT PERMUTATIONS IS GENERATED FROM STAT3104.INP BY TRANSLATING SELECTED TRIADS FROM THE 2*K0 ELEMENTS OF EACH INPUT PERMUTATION BY (+,-) D(J) UNITS, FOR J = 1,...,4 AND SUBSEQUENTLY RECORDED IN PERM.INP FOR OTHER ROUTINES, E.G., STAT543. STAT3105 IS A VARIANT OF STAT3104, BUT IS MOST SUITABLE WHEN THE EVENT DIMENSION K0 = 6. ========================================================================= -- L 3106 -- ( RANKING OF K0-ELEMENT EVENTS BY DESCENDING OR ASCENDING WEIGHT-SUMS OF FREQUENCIES OF ALL K0 ELEMENTS PER EVENT ) II STAT3106 READS A LARGE RANDOM SEQUENCE OF K0-ELEMENT TEST EVENTS FROM STAT3106.INP AND A BLOCK OF IMAX K0-ELEMENT STAR EVENTS FROM BASE.INP. THE STAR EVENTS IN BASE.INP ARE USED TO DETERMINE THE FREQUENCY OF OCCURRENCE OF ELEMENTS 1, 2, ... , L0 , WHERE THE WEIGHT OF ELEMENT L IS EQUIVALENT TO ITS FREQUENCY OVER IMAX STAR 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 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. STAT3106 IS A VARIANT OF STAT1229, TACITLY GENERATING A SEQUENCE OF HIGH-PROBABILITY TEST EVENTS IN STAT3106.OUT AND STAT94.INP. HOWEVER, THE WEIGHT OF ELEMENT L IS ACTUALLY THE FREQUENCY OF OCCURRENCE OF ELEMENT L OVER THE LAST IMAX STAR EVENTS, WHERE L = 1, 2, ... , L0 AND EVENTS ARE FILTERED FROM STAT3106.INP FOR WHICH EXACTLY ONE LEADING ELEMENT LIES IN THE SELECTED INTERVAL [ 1,Q0 ] FOR SOME DESIRED INTEGER Q0 AND FOR WHICH THE WEIGHT_SUM OF THE K0 ELEMENTS LIES IN A SELECTED INTERVAL [ M1,M2 ]. STAT3106 IS A TEST EVENT VERSION OF STAT3123. CF. STAT3123 FOR THE PERMUTATION VERSION. ========================================================================= -- L 3107 -- ( FILTERING AND RANKING K0-ELEMENT EVENTS FROM AN ARBITRARILY LARGE SEQUENCE IN DESCENDING ORDER OF SUMS OF RELATIVE FREQUENCIES OF ALL K0 ELEMENTS PRE-ARRANGED IN LEXICOGRAPHIC ORDER ) READS A LARGE SET OF K0-ELEMENT EVENTS FROM STAT3107.INP, AN ( L0 x K0 )-DIMENSIONAL MATRIX OF RELATIVE FREQUENCIES (GENERATED AS STAT3107.IN2 BY STAT3068), AND A SEQUENCE OF IMAX K0-ELEMENT STAR EVENTS ON THE ELEMENTS IN < 1, 2 , ... , L0 > FROM BASE.INP. K0-ELEMENT TEST EVENTS ARE FILTERED FROM STAT3107.INP AND RANKED IN DESCENDING ORDER OF SUMS OF RELATIVE FREQUENCIES OF K0 ELEMENTS PER EVENT OF STAT3107.INP. ALL K0-ELEMENT EVENTS ARE FILTERED WHICH HAVE A WEIGHT SUM GREATER THAN OR EQUAL TO A MINIMUM SUM, W0, AND LESS THAN OR EQUAL TO A DESIRED OR SELECTED MAXIMUM SUM, W1. [*]-QUALIFYING EVENTS ARE RECORDED IN STAT94.INP. ALL EVENTS IN STAT3107 ARE PRESUMED TO HAVE ELEMENTS ARRANGED IN LEXICOGRAPHIC ORDER, EXCEPT, POSSIBLY, THE BONUS ELEMENT. STAT3107 IS A VARIANT OF STAT3069. HOWEVER, EVENTS ARE FILTERED FROM STAT3107.INP FOR WHICH EXACTLY ONE LEADING ELEMENT LIES IN THE SELECTED INTERVAL [ 1,Q0 ] FOR SOME DESIRED INTEGER 10 AND FOR WHICH THE WEIGHT_SUM OF THE K0 ELEMENTS LIES IN A SELECTED INTERVAL [ M1,M2 ]. CF. STAT3069. ========================================================================= -- L 3108 -- ( GENERATING A SEQUENCE OF K0-ELEMENT EVENTS FROM A FIXED BLOCK OF BMAX EVENTS BY DIVIDING ELEMENTS IN COLUMN C1 BY ELEMENT D1 AND TRANSLATING ELEMENTS IN COLUMN C2 BY ELEMENT D2 VIA A SEQUENCE OF VECTORS < C1,C2,D1,D2 > ) STAT3108 READS A FIXED BLOCK OF BMAX K0-ELEMENT TEST EVENTS FROM STAT3108.INP, A SEQUENCE OF KMAX 4-ELEMENT VECTORS < C1,C2,D1,D2 > FROM STAT3108.IN2 AND A SEQUENCE OF IMAX K0-ELEMENT STAR EVENTS FROM BASE.INP. A TRANSFORMED SET OF K0-ELEMENT EVENTS IS GENERATED FROM STAT3108.INP VIA THE SEQUENCE OF VECTORS RECORDED IN STAT3108.IN2. FOR EACH INPUT EVENT, AN ELEMENT B(I,CJ) IN COLUMN CJ IS TRANSFORMED INTO (B(I,CJ) / DJ) AND A SECOND ELEMENT B(I,CK) IN COLUMN CK IS TRANSFORMED INTO (B(I,CK) + DK) VIA THE VECTORS IN STAT3108.IN2. 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. STAT3108 IS A VARIANT OF STAT3081, TACITLY GENERATING A SEQUENCE OF HIGH-PROBABILITY TEST EVENTS IN STAT3108.OUT AND STAT94.INP. A CUMULATIVE FILE OF EVENTS IS RECORDED IN CUMULAT.OUT. STAT3108 IS ALSO A VARIANT OF STAT3100. CF. ALSO STAT3109. ========================================================================= -- L 3109 -- ( GENERATING A SEQUENCE OF K0-ELEMENT EVENTS FROM A FIXED BLOCK OF BMAX EVENTS BY DIVIDING ELEMENTS IN COLUMN C1 BY ELEMENT D1 AND TRANSLATING ELEMENTS IN COLUMN C2 BY ELEMENT D2 VIA A SEQUENCE OF VECTORS < C1,C2,C3,D1,D2,D3,E1,E2,E3 > , WHERE D1*D2*D3 .NE. 0 ) II STAT3109 READS A FIXED BLOCK OF BMAX K0-ELEMENT TEST EVENTS FROM STAT3109.INP, A SEQUENCE OF KMAX 9-ELEMENT VECTORS OF THE FORM < C1,C2,C3,D1,D2,D3,E1,E2,E3 > , WHERE D1*D2*D3 .NE. 0 , FROM STAT3109.IN2 AND A SEQUENCE OF IMAX K0-ELEMENT STAR EVENTS FROM BASE.INP. A TRANSFORMED SET OF K0-ELEMENT EVENTS IS GENERATED FROM STAT3109.INP VIA THE SEQUENCE OF VECTORS RECORDED IN STAT3109.IN2. 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. STAT3109 IS A VARIANT OF STAT3081, TACITLY GENERATING A SEQUENCE OF HIGH-PROBABILITY TEST EVENTS IN STAT3109.OUT AND STAT94.INP. A CUMULATIVE FILE OF EVENTS IS RECORDED IN CUMULAT.OUT. STAT3109 IS ALSO A VARIANT OF STAT3108. FOR EACH INPUT EVENT, A SELECTED ELEMENT B(I,J) IN COLUMN CJ IS TRANSFORMED INTO (B(I,CJ) / DJ) +EJ). ========================================================================= -- L 3110 -- ( SELECTING K0-ELEMENT EVENTS FROM A LARGE SEQUENCE AND RECORDING BMAX UNIQUE EVENTS SEQUENTIALLY IN ASCENDING ORDER OF LEADING ELEMENTS OVER ALL EVENTS ) STAT3110 READS A LARGE RANDOM SEQUENCE OF K0-ELEMENT TEST EVENTS FROM STAT3110.INP. BMAX UNIQUE EVENTS ARE SELECTED FROM STAT3110.INP AND SEQUENTIALLY RECORDED IN ASCENDING ORDER OF LEADING ELEMENTS. EVENTS ARE SEQUENTIALLY FILTERED FROM STAT3110.INP FOR WHICH EXACTLY ONE LEADING ELEMENT LIES IN THE SELECTED INTERVAL [ 1,KMAX ] FOR SOME DESIRED INTEGER KMAX. CF. ALSO STAT3106. ========================================================================= -- L 3111 -- ( SELECTING K0-ELEMENT EVENTS FROM A LARGE SEQUENCE AND RECORDING BMAX EVENTS ALL OF WHICH HAVE LEADING ELEMENTS RESIDING IN A PRE-DETERMINED 1st PERMUTATION OF SIZE Q0 IN A (K0-Q(K))-DIMENSIONAL BLOCK OF PERMUTATIONS ) STAT3111 READS A (K0 x Q(K))-DIMENSIONAL BLOCK OF PERMUTATIONS IN IN PERM.INP (PRE-GENERATED, E.G., AS PERM.INP IN STAT2781) AND A RANDOM SEQUENCE OF K0-ELEMENT TEST EVENTS FROM STAT3111.INP. BMAX UNIQUE EVENTS ARE SELECTED FROM SAT3111.INP FOR WHICH EACH LEADING ELEMENT RESIDES IN THE 1st PERMUTATION LISTED IN PERM.INP. CF. STAT2781 FOR THE GENERATION OF PERM.INP. ========================================================================= -- L 3112 -- ( SELECTING K0-ELEMENT EVENTS FROM A LARGE SEQUENCE AND RECORDING BMAX EVENTS ALL OF WHICH HAVE THE kth ELEMENT RESIDING IN THE kth PERMUTATION OF SIZE Q(K), FOR EACH K = 1,2,3, ... , K0 ) II STAT3112 READS A (K0 x Q(K))-DIMENSIONAL BLOCK OF PERMUTATIONS IN IN PERM.INP (PRE-GENERATED, E.G., AS PERM.INP IN STAT2781, STAT2771 STAT2771, STAT2213, OR STAT3150 ), A SEQ. OF K0-ELEMENT TRANSLATION VECTORS IN STAT3112.IN2, AND A LARGE RANDOM SEQUENCE OF K0-ELEMENT TEST EVENTS FROM STAT3112.INP. BMAX UNIQUE EVENTS ARE SELECTED FROM SAT3112.INP FOR WHICH THE Kth ELEMENT RESIDES IN THE Kth PERMUTATION OF SIZE Q(K), IN PERM.INP FOR EACH K = 1,2,3, ... , K0. CF. STAT2781 FOR THE GENERATION OF PERM.INP. STAT3112 IS A VARIANT OF STAT3111. HOWEVER, TEST EVENTS ARE FILTERED FROM STAT3112.INP, BASED UPON OCCURRENCE OF EACH ELEMENT IN COLUMN K OF EACH EVENT IN PERMUTATION K OF PERM.INP, FOR K = 1, 2, 3, ... , K0 ). THIS PROCESS IS CYCLICALLY REPEATED FOR EACH TRANSLATION VECTOR IN STAT3112.IN2. ========================================================================= -- L 3113 -- ( GENERATING A LARGE SEQUENCE OF K0-ELEMENT EVENTS FROM A FIXED BLOCK OF BMAX EVENTS BY PERMUTING THE ELEMENTS VIA AN ARBITRARILY LARGE SEQUENCE OF PERMUTATIONS EACH DEFINED ON L0 ELEMENTS ) STAT3113 READS A FIXED BLOCK OF BMAX K0-ELEMENT TEST EVENTS FROM STAT3113.INP AND A SEQUENCE OF IMAX K0-ELEMENT STAR EVENTS FROM BASE.INP, AND A SEQUENCE OF L0-ELEMENT PERMUTATIONS IN PERM.INP. EACH PERMUTATION IN PERM.INP IS UTILIZED TO PERMUTE ELEMENTS OF EACH ONE OF THE BMAX K0-ELEMENT EVENTS OF STAT3113.INP, THUS VIRALLY GENERATING A LARGE SEQUENCE OF RANDOM K0-ELEMENT EVENTS. CF. STAT12 FOR THE GENERATION OF STAT3113.INP AS STAT12.OT2 OR STAT12.OT3. CF. ALSO PERM539.INP, PERM656.INP, AND PERM659.INP IN EITHER STAT12 OR STAT3113 MAY SERVE AS PERM.INP IN STAT3113. ========================================================================= -- L 3114 -- ( DETERMINING WEIGHTS OF A SEQUENCE OF ELEMENTS RELATIVE TO THE MEAN WEIGHT ) READS A BLOCK OF BMAX SEQUENCES OF ELEMENTS < F(L) , L=1,...,L0 > FROM PERM.INP AND A SEQUENCE OF IMAX K0-ELEMENT STAR EVENTS FROM BASE.INP. THE WEIGHT OF EACH ELEMENT F(L) IS DETERMINED AS ( WT(L) = MEAN_ - F(L) FOR EACH L, L = 1, 2, ... , L0 ) OR VIA A REAL-TIME ALGORITHM WHICH TACITLY UTILIZES SCALED VALUES < K1,K2,K3, ... , K10 > FROM A NORMAL OR GAUSSIAN DISTRIBUTION. ELEMENTS ARE THEN RANKED IN DESCENDING ORDER OF < WT(L) > AND RECORDED FOR ANALYSIS IN STAT543 AS PERM2.OUT. MOREOVER, THE SEQUENCE OF WEIGHTS FOR EACH INPUT PERMUTATION IS GENERATED AND RECORDED AS PERM.OUT FOR ANALYSIS IS STAT3086 AS PERM.INP. CF. ALSO STAT64. STAT3114 IS A VARIANT OF STAT3115, BUT INPUT FUNCTIONAL VALUES IN PERM.INP ARE GENERIC AND NOT RESTRICTED TO FREQUENCIES OF ELEMENTS L. TWO HIGH-PROBABILIEY PERMUTATIONS ARE RECORDED IN PERM1015.OUT TO BE UTILIZED AS PERM.INP IN STAT543. CF. PERM4.OUT WHICH IS GENERATED FOR ELEMENTS < L > RANKED IN DESCENDING ORDER OF CORRESPONDING < F(L) >. ========================================================================= -- L 3115 -- ( DETERMINING WEIGHTS OF A SEQUENCE OF ELEMENTS RELATIVE TO THE MEAN WEIGHT ) READS A SEQUENCE OF IMAX K0-ELEMENT STAR EVENTS FROM BASE.INP. FROM WHICH THE FREQUENCY, F(L), OF EACH ELEMENT L FOR L = 1,...,L0 IS AUTOMATICALLY DETERMINED IN REAL TIME. FOR EACH ELEMENT L, THE WEIGHT, OF EACH ELEMENT L IS EITHER DETERMINED AS ( WT(L) = MEAN_ - F(L) FOR EACH L, L = 1, 2, ... , L0 ) OR VIA A REAL-TIME ALGORITHM WHICH TACITLY UTILIZES SCALED VALUES < K1,K2,K3, ... , K10 > FROM A NORMAL OR GAUSSIAN DISTRIBUTION. ELEMENTS ARE THEN RANKED IN DESCENDING ORDER OF < WT(L) > AND RECORDED FOR ANALYSIS IN STAT543 AS PERM2.OUT. MOREOVER, THE SEQUENCE OF WEIGHTS FOR EACH INPUT PERMUTATION IS GENERATED AND RECORDED AS PERM.OUT FOR ANALYSIS IS STAT3086 AS PERM.INP. CF. ALSO STAT64. STAT3115 IS A VARIANT OF STAT3114. HOWEVER, THE FUNCTIONAL VALUES < F(L): L = 1,...,L0 > ARE AUTOMATICALLY COMPUTED FROM THE STAR EVENTS OF BASE.INP, AS FREQUENCIES OF EACH ELEMENT OVER THE LAST IMAX STAR EVENTS, RATHER THAN BEING READ AS GENERAL FUNCTIONAL VALUES FROM A SEQUENCE OF PERMUTATIONS, AS IN STAT3114. TWO HIGH PROBABILITY PERMUTATIONS ARE RECORDED IN PERM1015.OUT TO BE UTILIZED AS PERM.INP IN STAT543. PERMUTATIONS ARE RECORDED IN PERM1015.OUT TO BE UTILIZED AS PERM.INP IN STAT543. CF. PERM4.OUT WHICH IS GENERATED FOR ELEMENTS < L > RANKED IN DESCENDING ORDER OF CORRESPONDING < F(L) >. ========================================================================= -- L 3116 -- (FILTERING AND RANKING K0-ELEMENT EVENTS FROM AN ARBITRARILY LARGE SEQUENCE IN DESCENDING ORDER OF SUMS OF WEIGHTS AND SUMS OF BINARY STATES OVER ALL ELEMENTS PER INPUT EVENT ) READS A LARGE SET OF K0-ELEMENT EVENTS FROM STAT3116.INP, A SEQUENCE OF L0 WEIGHTS AND BINARY STATES OF ELEMENTS FROM PERM.INP ( GENERATED BY EITHER STAT3115 OR STAT3114 AS PERM3.OUT ), AND A SEQUENCE OF IMAX K0-ELEMENT STAR EVENTS ON THE ELEMENTS IN THE SEQUENCE < 1, 2 , ... , L0 > PRE-RECORDED IN BASE.INP. WT(L) MAY CONSIST OF FREQUENCIES OR ANY DESIRED WEIGHTS FOR L0 ELEMENTS. TEST EVENTS ARE FILTERED FROM STAT3116.INP AND RANKED IN DESCENDING ORDER OF SUMS OF WEIGHTS AND SUMS OF BINARY STATES PER EVENT. EVENTS ARE FILTERED AS [*]-QUALIFIED WHENEVER ITS WEIGHT SUM OVER K0 ELEMENTS EXCEED A DESIRED LOWER BOUNDS SELECTED IN REAL-TIME BY THE ANALYST. AND LESS THAN OR EQUAL TO A DESIRED OR SELECTED MAXIMUM SUM, W1. [*]-QUALIFYING EVENTS ARE RECORDED IN STAT94.INP. STAT3116 IS A VARIANT OF STAT3106 AND STAT3086. HOWEVER, PERM.INP IS GENERATED FROM STAT3115 AS PERM3.OUT, REPRESENTING BOTH A SEQUENCE OF BINARY STATES, , AND A SEQUENCE OF WEIGHTS, FOR L = 1,2,...,L0 , DETERMINED UP TO THE MOST RECENT FINAL STAR EVENT. CF. STAT3086, STAT3114, AND STAT3115. STAT3116 IS THE TEST EVENT VERSION OF STAT3123. CF. STAT3123. ========================================================================= -- L 3117 -- ( DETERMINING 8 COMBINATIONS OF THE LOWER AND UPPER HALVES OF EACH PERMUTATION IN A FIXED SEQUENCE, BASED UPON UNIONS OF FORWARD AND REVERSE ORIENTATIONS OF THE ELEMENTS IN THE LOWER AND UPPER HALVES ) STAT3117 READS THE Q0 ELEMENTS OF EACH PERMUTATION IN A FIXED SEQUENCE OF PERMUTATIONS AND DETERMINES 8 COMBINATIONS OF THE LOWER AND UPPER HALVES OF EACH FIXED PERMUTATION, BASED UPON UNIONS OF FORWARD AND REVERSE ORIENTATIONS OF THE ELEMENTS IN THE LOWER AND UPPER HALVES OF THE FIXED PERMUTATION. CF. ALSO STAT2901, STAT2912, STAT1381, AND STAT117. IT IS PRESUMED THAT EACH INPUT PERMUTATION OF PERM.INP IS OF EVENT DIMENSION. ========================================================================= -- L 3118 -- ( TRANSLATIONS OF ELEMENTS OF EACH PERMUTATION OF A FIXED BLOCK VIA A SEQUENCE OF CMAX TRANSLATION VECTORS ) STAT3118 READS A SEQUENCE OF IMAX STAR EVENTS ON THE ELEMENTS IN T = < 1, 2, ... , L0 > , AN ARBITRARILY LARGE BLOCK OF PERMUTATIONS IN PERM.INP, AND A SEQUENCE OF CMAX Q0-ELEMENT TRANSLATION VECTORS IN PERM2.INP. THE ELEMENTS OF EACH PERMUTATION OF PERM.INP ARE TRANSLATED BY THE CORRESPONDING ELEMENTS FROM EACH TRANSLATION VECTOR OF PERM2.INP. STAT3118 IS THE PERMUTATION VERSION OF STAT2064, WHICH TRANSLATES K0-ELEMENT TEST EVENTS. TRANSLATED PERMUTATIONS ARE RECORDED IN PERM.OUT. ========================================================================= -- L 3119 -- ( TRANSLATING AND PREDICTING INTERSECTION PERFORMANCE OF TRANSLATIONS OF EVENTS FORMED AS A UNION OF SUB-STRINGS OF ADJACENT PAIRS OF EVENTS FROM A FIXED BLOCK OF K0-ELEMENT EVENTS ) STAT3119 READS A FIXED BLOCK OF BMAX K0-ELEMENT TEST EVENTS FROM STAT3119.INP, A LARGE SEQUENCE OF K0-ELEMENT TRANSLATION VECTORS FROM STAT3119.IN2 AND A SEQUENCE OF IMAX K0-ELEMENT STAR EVENTS FROM BASE.INP. EACH K0-ELEMENT EVENT IS TRANSLATED BY EACH VECTOR FROM THE SEQUENCE IN STAT3119.IN2 AND THE TRANSFORMED EVENTS ARE 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. STAT3119 IS A VARIANT OF STAT2064, TACITLY GENERATING A SEQUENCE OF HIGH-PROBABILITY TEST EVENTS IN STAT3119.OUT AND STAT94.INP. HOWEVER, THE BLOCK OF TRANSLATED K0-ELEMENT INPUT EVENTS IS FORMED BY UNIONS OF SUB-STRINGS FROM ADJACENT PAIRS OF INPUT TEST EVENTS. GENERATED TEST EVENTS ARE THEN 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 STAT3119.INP ARE INCLUDED AS OUTPUT EVENTS. CF. STAT1649. CF. STAT1641 FOR GENERATING STAT3119.INP IN THE FORM OF STAT94.INP. CF. ALSO STAT1323, STAT1505, STAT1506, STAT1511, STAT1618 AND STAT1631. INPUT EVENTS IN STAT3119.INP MAY BE TACITLY GENERATED BY STAT1438 AS STAT94.INP. CF. STAT1438. CF. STAT204 FOR THE GENERATION OF STAT3119.INP AND CF. STAT2171 FOR THE GENERATION OF STAT3119.IN2. CF. ALSO STAT1606. A CUMULATIVE FILE OF EVENTS IS RECORDED IN CUMULAT.OUT. CF. STAT2853 AND STAT2064. ========================================================================= -- L 3120 -- ( RANKS ELEMENTS OF EACH PERMUTATION OF A FIXED SEQUENCE IN EITHER DESCENDING OR ASCENDING ORDER OF WEIGHTS RECORDED IN A FIXED PERMUTATION ) READS A FIXED SEQUENCE OF WEIGHTS OR FUNCTIONAL ELEMENTS < F(L): L= 1,...,L0 > FROM PERM2.INP AND A BLOCK OF G(K)-ELEMENT PERMUTATIONS FROM PERM.INP. THE ELEMENTS OF EACH PERMUTATION IN PERM.INP ARE RANKED IN EITHER DESCENDING OR ASCENDING ORDER OF WEIGHT/FUNCTIONAL VALUE, IN PERM2.INP ARE GENERIC AND NOT RESTRICTED TO FREQUENCIES OF ELEMENTS L AND MAY BE PRE-DETERMINED BY STAT3114, STAT3115, STAT3086, ET AL. ========================================================================= -- L 3121 -- ( GENERATING LEXICOGRAPHIC K0-ELEMENT EVENTS FROM EACH Q0-ELEMENT PERMUTATION OF A FIXED BLOCK OF PERMUTATIONS BY SELECTING EVENTS WHICH HAVE INDICES CONGRUENT TO 1 (MOD M) FOR SOME INDEX M AUTOMATICALLY COMPUTED IN REAL TIME ) STAT3121 READS A SEQUENCE OF PERMUTATIONS < P(L,J),J=1,...,ENUM(L) >, L = 1,...,PNUM FROM PERM.INP AND A SEQUENCE OF BMAX K0-ELEMENT TRANSLATION VECTORS FROM STAT3121.INP, GENERATING LEXICOGRAPHIC K0-ELEMENT TRANSLATED EVENTS FROM EACH Q0-ELEMENT PERM IN PERM.INP. THE Q0-ELEMENT PERMUTATIONS MAY BE GENERATED IN STAT2232 , STAT1016, ET AL. STAT3121 IS A VARIANT OF STAT2233, WITH INDEX DISPLACEMENT PARAMETERS FOR SELECTED INDEXES OMITTED AND NOT PROCESSED. CF. STAT543, STAT618, STAT915, STAT691, STAT2213, STAT2223, AND STAT2312. STAT2312. CF., ESPECIALLY, STAT2233. STAT3121 IS ALSO A VARIANT AND DERIVATIVE OF STAT3032. HOWEVER THE INTEGER , M , TO WHICH THE INDEX OF EACH GENERATED TEST EVENT WILL BE CONGRUENT ( MOD M )' OVER EACH INPUT PERMUTATION IS AUTOMATICALLY DETERMINED BY THE ROUTINE IN REAL TIME, RATHER THAN BEING ENTERED BY THE ANALYST. CF. STAT3032 AND STAT1015. ========================================================================= -- L 3122 -- ( GENERATING Q0 K0-ELEMENT EVENTS FROM EACH PERMUTATION OF SIZE N, WHERE THE FINAL ELEMENT OF THE FINAL EVENT GENERATED IS IDENTICAL TO P(ENUM(1)) ) II READS A SEQUENCE OF PNUM PERMUTATIONS OF VARYING SIZES AND GENERATES Q0 K0-ELEMENT EVENTS FROM EACH PERMUTATION OF SIZE N, WHERE THE FINAL ELEMENT OF THE FINAL EVENT GENERATED FROM EACH PERMUTATION IS IDENTICAL TO P(ENUM(1)). K0 AND N ARE POSITIVE INTEGERS, K0 < N < 81. MOREOVER, THE ROUTINE FILTERS THE GENERATED EVENTS, BY SELECTING EVENTS FROM THE SEQUENCE WITH INDICES CONGRUENT TO AN ELEMENT OF A DESIRED INTEGRAL VECTOR SELECTED BY THE ANALYST, OF THE FORM < M1, M2, M3, M4, M5, M6, M7, M8, M9, M10 > ( MOD T) , FOR SOME DESIRED INTEGER T AND SOME DESIRED INTEGERS M1, M2, ... , M10. STAT3122 IS A VARIANT OF STAT543 AND EVENTS ARE GENERATED SEQUENTIALLY FROM THE INPUT SEQUENCE OF PERMUTATIONS, RATHER THAN RANDOMLY. CF. STAT64 FOR GENERATION OF PERM.INP. CF. ALSO STAT1401, STAT2144, AND STAT2233. A CUMULATIVE FILE OF [*]-QUALIFYING TEST EVENTS IS GENERATED INTO SET3.OUT. [*]-QUALIFYING EVENTS ARE FILTERED INTO STAT94.IN2. CF. STAT64 FOR GENERATION OF PERM.INP. CF. STAT1401, STAT2144. STAT2144, STAT2213 AND STAT2233. A CUMULATIVE FILE OF [*]-QUALIFYING TEST EVENTS IS GENERATED INTO STAT94.IN2. CF. ALSO STAT1365, STAT1401, STAT1781, STAT1828, STAT2248, STAT2250, STAT543, STAT2312, STAT1616, STAT2223, AND STAT2501. ========================================================================= -- L 3123 -- (FILTERING AND RANKING Q0-ELEMENT PERMUTATIONS FROM AN ARBITRARILY LARGE SEQUENCE IN DESCENDING ORDER OF SUMS OF WEIGHTS OVER ALL ELEMENTS PER INPUT PERMUTATION ) READS A LARGE SET OF Q0-ELEMENT PERMUTATIONS FROM PERM.INP, A SEQUENCE OF L0 WEIGHTS FROM PERM2.INP (GENERATED BY EITHER STAT3114 STAT3115 OR STAT3086 OR ANOTHER SOURCE) AS PERM3.OUT OR PERM.OUT, AND A SEQUENCE OF IMAX K0-ELEMENT STAR EVENTS ON THE ELEMENTS IN THE SEQUENCE < 1, 2 , ... , L0 > PRE-RECORDED IN BASE.INP. WT(L) MAY CONSIST OF FREQUENCIES OR ANY DESIRED WEIGHTS FOR L0 ELEMENTS. TEST PERMUTATION ARE FILTERED FROM STATPERM.INP AND RANKED IN DESCENDING ORDER OF SUMS OF WEIGHTS PER EVENT. A PERMUTATION IS FILTERED AS [*]-QUALIFIED WHENEVER ITS WEIGHT_SUM OVER Q0 ELEMENTS EXCEEDS A DESIRED LOWER BOUND SELECTED IN REAL-TIME BY THE ANALYST. [*]-QUALIFYING PERMS ARE RECORDED IN PERM.OUT. HOWEVER, PERM.INP MAY BE GENERATED FROM STAT12, ET AL., AS PERM.OUT. FILE PERM2.INP MAY BE GENERATED AS A SEQUENCE OF WEIGHTS, FOR L = 1,2,...,L0 IN STAT3114 OR STAT3115. STAT3123 IS A VARIANT AND THE PERMUTATION VERSION OF STAT3116 AND STAT3106. CF. ALSO STAT3086, STAT3114, AND STAT3115. CF. STAT1015 FOR THE GENERATION OF PERM2.INP ========================================================================= -- L 3124 -- ( DETERMINING A SUB-PERMUTATION FOR EACH Q0-ELEMENT PERMUTATION OF A FIXED SEQUENCE AS A UNION OF SUB-STRINGS OF ELEMENTS BASED UPON INTEGERS { D1,D2 }, GENERATING UNIONS OF SUB-INTERVALS OF THE FORM GENERATING UNIONS OF SUB-INTERVALS IN THE FORM OF EITHER : [ 1,D1 ] U [ M-D2 , M+D2 ] U [ Q0-D1,Q0 ], ( FOR METHOD 1 ) OR [ M-D2 , M+D2 ] U [ 1,D1 ] U [ Q0-D1,Q0 ], ( FOR METHOD 2 ) , WHILE SELECTING ELEMENTS FROM THE {UPPER TAIL} U (CENTER} U {LOWER TAIL)) STAT3124 READS THE Q0 ELEMENTS OF EACH PERMUTATION IN A FIXED SEQUENCE OF PERMUTATIONS FROM PERM.INP AND CONSTRUCTS A SUB-PERMUTATION FOR EACH PERMUTATION OF A FIXED SEQUENCE AS A UNION OF SUB-STRINGS OF ELEMENTS BASED UPON SELECTED INTEGERS { D1,D2 } (READ FROM STAT3124.INP), GENERATING UNIONS OF SUB-INTERVALS IN THE FORM OF EITHER : [ 1,D1 ] U [ M-D2 , M+D2 ] U [ Q0-D1,Q0 ], ( FOR METHOD 1 ) OR [ M-D2 , M+D2 ] U [ 1,D1 ] U [ Q0-D1,Q0 ], ( FOR METHOD 2 ) , WHILE SELECTING ELEMENTS FROM THE {UPPER TAIL} U {CENTER} U {LOWER TAIL} OF EACH INPUT PERMUTATION. RESULTING OUTPUT PERMUTATIONS ARE RECORDED IN PERM.OUT FOR FUTURE ANALYSIS. ========================================================================= -- L 3125 -- (FILTERING AND RANKING K0-ELEMENT EVENTS FROM AN ARBITRARILY LARGE SEQUENCE IN DESCENDING ORDER OF SUMS OF WEIGHTS, EXCLUDING BINARY STATE SUMS OVER ALL ELEMENTS PER INPUT EVENT ) II READS A LARGE SET OF K0-ELEMENT EVENTS FROM STAT3125.INP, A SEQUENCE OF L0 WEIGHTS FROM PERM.INP (GENERATED FROM STAT3115 OR STAT3114 AS PERM.OUT), AND A SEQUENCE OF IMAX K0-ELEMENT STAR EVENTS ON THE ELEMENTS IN THE SEQUENCE < 1, 2 , ... , L0 > PRE-RECORDED IN BASE.INP. WT(L) MAY CONSIST OF FREQUENCIES OR ANY DESIRED WEIGHTS FOR L0 ELEMENTS. TEST EVENTS ARE FILTERED FROM STAT3125.INP AND RANKED IN DESCENDING ORDER OF SUMS OF WEIGHTS. AN EVENT IS THEN FILTERED AS [*]-QUALIFIED WHENEVER ITS WEIGHT SUM OVER K0 ELEMENTS EXCEEDS A DESIRED LOWER BOUND SELECTED IN REAL-TIME BY THE ANALYST. [*]-QUALIFYING EVENTS ARE RECORDED IN STAT94.INP. STAT3125 IS A VARIANT OF STAT3106 AND STAT3116. HOWEVER, PERM.INP IS GENERATED FROM STAT3115 OR STAT3114 AS PERM.OUT, REPRESENTING A SEQUENCE OF WEIGHTS, FOR L = 1,2,...,L0 , DETERMINED UP TO THE MOST RECENT FINAL STAR EVENT. CF. STAT3086, STAT3114, AND STAT3115. STAT3125 IS A TEST EVENT VERSION OF STAT3123. CF. STAT3123. ========================================================================= -- L 3126 -- ( GENERATING 2*K0-ELEMENT PERMUTATIONS FROM A FIXED BLOCK OF BMAX K0-ELEMENT EVENTS BY TRANSLATING EACH ONE OF THE K0 ELEMENTS OF EACH EVENT BY UNITS FOR J = 1,2,3, ... , 2*K0 ) II STAT3126 READS A SEQUENCE OF BMAX K0-ELEMENT TEST EVENTS FROM STAT3126.INP AND AN ARBITRARILY LARGE SEQUENCE OF 2*K0-ELEMENT TRANSLATION PERMUTATIONS IN PERM.INP. 2*K0-ELEMENT PERMUTATIONS ARE GENERATED FROM STAT3126.INP BY TRANSLATING EACH ONE OF THE K0 ELEMENTS OF EACH EVENT BY T(J) UNITS FOR J = 1 , 2, ... , 2*K0. TRANSLATED PERMUTATIONS ARE RECORDED IN PERM.OUT. STAT3126 IS A VARIANT OF STAT3103. ========================================================================= -- L 3127 -- ( DETERMINING AND RANKING FREQUENCIES OF ELEMENTS < F(L> ) , L = 1 , 2 , 3 , 4 , ... , L0 , AS WELL AS THE MINIMUM, MEAN, AND MAXIMUM FREQUENCIES ) READS A SEQUENCE OF IMAX K0-ELEMENT STAR EVENTS FROM BASE.INP. FROM WHICH THE FREQUENCY, F(L), OF EACH ELEMENT L FOR L = 1,...,L0 IS AUTOMATICALLY DETERMINED IN REAL TIME. MOREOVER, THE MINIMUM, MEAN, AND MAXIMUM FREQUENCIES ARE DETERMINED AND THE ELEMENTS ARE RANKED IN DESCENDING ORDER OF FREQUENCY. CF. ALSO STAT3115. ========================================================================= -- L 3128 -- (FILTERING AND RANKING K0-ELEMENT EVENTS FROM AN ARBITRARILY LARGE SEQUENCE IN DESCENDING ORDER OF SUMS OF WEIGHTS AND SUMS OF BINARY STATES OVER ALL ELEMENTS PER INPUT EVENT ) READS A LARGE SET OF K0-ELEMENT EVENTS FROM STAT3128.INP, A SEQUENCE OF L0 WEIGHTS FROM PERM2.INP, AND A BLOCK OF PERM ELEMENTS FROM PERM.INP ( GENERATED, E.G., BY EITHER STAT3115 OR STAT3114 AS PERM3.OUT), FROM WHICH BINARY STATES OF ELEMENTS ARE DETERMINED IN REAL TIME BY THE ROUTINE, AND A SEQUENCE OF IMAX K0-ELEMENT STAR EVENTS ON THE ELEMENTS IN THE SEQUENCE < 1,2, ...,L0> PRE-RECORDED IN BASE.INP. WT(L) MAY CONSIST OF FREQUENCIES OR ANY DESIRED WEIGHTS FOR L0 ELEMENTS. TEST EVENTS ARE FILTERED FROM STAT3128.INP AND RANKED IN DESCENDING ORDER OF SUMS OF WEIGHTS AND SUMS OF BINARY STATES PER EVENT. AN EVENT IS FILTERED AS [*]-QUALIFIED WHENEVER ITS WEIGHT SUM OVER K0 ELEMENTS EXCEEDS A DESIRED RANGE SELECTED IN REAL-TIME BY THE ANALYST. [*]-QUALIFYING EVENTS ARE RECORDED IN STAT94.INP. STAT3128 IS A VARIANT OF STAT3116. HOWEVER, PERM.INP IS GENERATED, E.G., BY STAT1015 OR ANOTHER ROUTINE AS PERM.OUT. PERM2.INP IS GENERATED AS A SEQUENCE OF WEIGHTS OR FREQUENCIES FROM EITHER STAT3127, STAT3115, STAT3114, STAT3086, WITH THE SEQUENCE OF WEIGHTS, FOR L = 1,2,...,L0 , DETERMINED UP TO THE MOST RECENT FINAL STAR EVENT. CF. STAT3127, STAT3086, STAT3114, AND STAT3115. STAT3128 IS ALSO A TEST EVENT VERSION OF STAT3123. CF. PERM.OUT IN STAT3127. CF. ALSO STAT3116. ========================================================================= -- L 3129 -- ( DETERMINING AND RANKING FREQUENCIES OF ELEMENTS < F(L> ) , L = 1 , 2 , 3 , 4 , ... , L0 , AS WELL AS THE MINIMUM, MEAN, AND MAXIMUM FREQUENCIES OVER K0 DISTINCT COLUMNS ) READS A SEQUENCE OF IMAX K0-ELEMENT STAR EVENTS FROM BASE.INP. FROM WHICH THE FREQUENCY, F(L), OF EACH ELEMENT L FOR L = 1,...,L0 IS AUTOMATICALLY DETERMINED IN REAL TIME. MOREOVER, THE MINIMUM, MEAN, AND MAXIMUM FREQUENCIES ARE DETERMINED OVER EACH ONE OF K0 DISTINCT COLUMNS OF STAR EVENTS. STAT3129 IS A VARIANT OF STAT3127, PROCESSING EACH COLUMN OF STAR EVENTS IN BASE.INP SEPARATELY, RATHER THAN THE ENTIRE K0-COLUMN BLOCK AT ONCE. STAT3129 GENERATES PERM.INP AS AN INPUT FILE FOR STAT3130. ========================================================================= -- L 3130 -- (FILTERING AND RANKING K0-ELEMENT EVENTS FROM AN ARBITRARILY LARGE SEQUENCE IN DESCENDING ORDER OF SUMS OF WEIGHTS, EXCLUDING BINARY STATE SUMS OVER ALL ELEMENTS PER INPUT EVENT WHERE WEIGHTS OF ELEMENTS ARE DETERMINED AND DEFINED OVER K0 SEPARATE COLUMNS OF STAR EVENTS ) III READS A LARGE SET OF K0-ELEMENT EVENTS FROM STAT3130.INP, A BLOCK OF K0 L0-ELEMENT SEQUENCES OF WEIGHTS VS. A SEQUENCE OF STAR EVENTS ( OVER K0 SEPARATE COLUMNS ) XXII READS A SEQUENCE OF IMAX STAR EVENTS ON THE ELEMENTS ON THE ELEMENTS IN T = < 1, 2, ... , L0 > DETERMINES A (0,1) - OCCURRENCE MATRIX FOR EACH OF THE L0 ELEMENTS OF THE SET T, THE RELATIVE FREQUENCY OF EACH ELEMENT IN T, AND DETERMINES A PROJECTED SEQUENCE OF ELEMENTS FROM T IN PERM.INP, WHICH ARE HIGHLY LIKELY TO OCCUR IN THE NEXT K0-ELEMENT STAR EVENT OF BASE.INP. STAT3132 IS A VARIANT OF STAT1015 AND STAT3085, BUT ANALYZES COLUMNS SEPARATELY, SELECTING [*]-QUALIFYING ELEMENTS VS. THE BASE SET OF STAR EVENTS, BUT FILTERING STAR ELEMENTS, BASED UPON WHETHER OR NOT THE NUMBER OF 1'S OVER THE LAST VMAX STAR EVENTS IS, AT MOST, ONE, WHERE VMAX IS THE OCCURRENCE CADENCE. A DETERMINED THRESHOLD VALUE, M0, BASED UPON STAR EVENT INDEXES. STAT3132 READS UP TO 100 STAR EVENTS IN BASE.INP AND ANALYZES ELEMENTS IN THE RANGE < 1, ... , L0 >, WHERE THE MAXIMUM VALUE OF L0 IS 54. CF. ALSO STAT893, STAT894, STAT899, AND STAT933. VS. THE BASE SET OF STAR EVENTS, BUT FILTERING STAR ELEMENTS, BASED UPON WHETHER OR NOT THE INDEX OF STAR EVENT (IMAX+1-M0) IS CONGRUENT TO 0 (MOD KCT), WHERE M0 IS THE STAR INDEX OF THE FIRST OCCURRING ELEMENT 1 IN THE (0,1) - OCCURRENCE MATRIX AND KCT IS THE NUMBER OF ELAPSED EVENTS PER OCCURRENCE OF A 1 IN THE (0,1) - OCCURRENCE MATRIX FOR EACH OF THE L0 STAR ELEMENTS. M1 IS THE DESIRED THRESHOLD VALUE FOR INDEXES: M1 (MOD KCT). STAT3132 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. STAT3132 IS A VARIANT OF STAT934, BUT UTILIZES A DIFFERENT ALGORITHMIC TECHNIQUE FOR DETERMINING HIGH-PROBABILITY ELEMENTS. SIGNIFICANTLY, STAT3132 GENERATES PERM.OUT AND PERM2.OUT FOR PROCESSING AS PERM.INP IN STAT543, STAT3011, STAT3012, AND STAT3013. CF. STAT1015 AND STAT3085. ========================================================================= -- L 3133 -- ( DETERMINING INTERSECTIONS OF ELEMENTS FROM K0 PAIRS OF PERMUTATIONS LISTED IN TWO SEPARATE FILES ) STAT3133 READS AS SEQUENCE OF K0 PERMUTATIONS OF VARIABLE SIZES STAT3133 INTERSECTS A PAIR OF PERMUTATIONS OF VARIABLE SIZES IN TWO SEPARATE FILES, PERM1.INP AND PERM2.INP, RESPECTIVELY. THE Jth PERMUTATION IN PERM1.INP IS INTERSECTED WITH THE Jth PERMUTATION IN PERM2.INP FOR J = 1,2,...,K0 AND THE RESULTING SEQUENCE OF PERMUTATIONS CONSISTING OF COMMON ELEMENTS IS RECORDED RECORDED IN PERM.OUT FOR FURTHER ANALYSIS. A CUMULATIVE FILE OF PERMUTATIONS IS RECORDED IN CUMULAT.OUT. STAT3133 IS A VARIANT OF STAT2901 AND STAT3134. CF. ALSO STAT117 AND STAT1381. ========================================================================= -- L 3134 -- ( DETERMINING UNIONS OF ELEMENTS FROM K0 PAIRS OF PERMUTATIONS LISTED IN TWO SEPARATE FILES ) STAT3134 READS AS SEQUENCE OF K0 PERMUTATIONS OF VARIABLE SIZES STAT3134 INTERSECTS A PAIR OF PERMUTATIONS OF VARIABLE SIZES IN TWO SEPARATE FILES, PERM1.INP AND PERM2.INP, RESPECTIVELY. THE Jth PERMUTATION IN PERM1.INP IS INTERSECTED WITH THE Jth PERMUTATION IN PERM2.INP FOR J = 1,2,...,K0 AND THE RESULTING SEQUENCE OF PERMUTATIONS CONSISTING OF COMMON ELEMENTS IS RECORDED RECORDED IN PERM.OUT FOR FURTHER ANALYSIS. A CUMULATIVE FILE OF PERMUTATIONS IS RECORDED IN CUMULAT.OUT. STAT3134 IS A VARIANT OF STAT2901 AND STAT3134. CF. ALSO STAT117 AND STAT1381. ========================================================================= -- L 3135 -- ( RE-FORMATTING A (BMAX x K0)-DIMENSIONAL BLOCK OF EVENTS AS A Q0-ELEMENT PERMUTATION ) STAT3134 READS A (BMAX x K0)-DIMENSIONAL BLOCK OF EVENTS FROM STAT3134.INP, ASSURES THAT THE ELEMENTS ARE UNIQUE BY ELIMINATING EXCESS REPEATING ELEMENTS, AND RECORDS THE REMAINING ELEMENTS AS A Q0-DIMENSIONAL PERMUTATION IN PERM.INP FOR FURTHER ANALYSIS. A CUMULATIVE FILE OF PERMUTATIONS IS RECORDED IN CUMULAT.OUT. ========================================================================= -- L 3136 -- ( PREDICTING FUTURE INTERSECTIONS FOR ELEMENTS IN < 1,2,3,...,L0> VS. STAR EVENTS UTILIZING THE PROPERTY THAT TMAX LIES IN THE INTERVAL ( -OO, 0 ) AND | TMAX | .GE. KCT, WHERE 1/KCT IS THE OCCURRENCE CADENCE OF AN ELEMENT L OVER THE LAST IMAX STAR EVENTS IN EACH ONE OF K0 DISTINCT COLUMNS ) II STAT3136 READS A SEQUENCE OF IMAX K0-ELEMENT STAR EVENTS FROM BASE.INP. SEQUENTIAL ELEMENTS FROM < 1,2,...,L0 > ARE INTERSECTED WITH EACH EVENT IN THE SEQUENCE OF STAR EVENTS READ FROM FILE BASE.INP. THE ROUTINE FILTERS A SEQUENCE OF [*]-QUALIFYING ELEMENTS FROM < 1,2,3,...,L0 > IF THEIR PROBABILITIES OF OCCURRING IN THE NEXT STAR EVENT ARE CONTAINED WITHIN AN ANALYST-PRESCRIBED INTERVAL. THE PROGRAM IS AUTOMATICALLY TERMINATED WHEN A SEQUENCE OF Q0 ELEMENTS QUALIFIES AS A HIGH-PROBABILITY SEQUENCE OF ELEMENTS. THE ROUTINE ALSO PREDICTS THE NEXT SUCCESSFUL INTERSECTION INDEX BETWEEN A STAR EVENT AND THE GENERATED BLOCK OF TEST EVENTS. ELEMENTS FROM < 1, 2, 3, ... , L0 > ARE ANALYZED AND DETERMINED TO BE [*]-QUALIFIED iff Property 1 : TMAX LIES IN THE INTERVAL ( -00,0 ) AND | TMAX | .GE. KCT, WHERE 1/KCT IS THE OCCURRENCE CADENCE OF ELEMENT L OVER IMAX STAR EVENTS. STAT3136 IS A VARIANT ELEMENT VERSION OF STAT3039 AND STAT1618, WHICH ANALYZES K0-ELEMENT TEST EVENTS. [*]-QUALIFYING ELEMENTS RECORDED IN PERM.INP ARE RANKED IN ASCENDING ORDER OF BETA = TMAX/KCT FOR EACH < L = 1, 2, ... , L0 >. CF. STAT3039. ========================================================================= -- L 3137 -- ( GENERATION OF A HOMOGENEOUS SEQUENCE OF K0-ELEMENT EVENTS FROM A FIXED SEQUENCE OF 6 PERMUTATIONS ) STAT3137 READS A SET OF 6 VECTORS OF DIMENSIONS, N1, N2, ... , N6 , IN PERM.INP, GENERATES A NEW SEQUENCE OF VECTORS, EACH CONSISTING OF 21 COPIES OF THE INITIAL VECTORS, AND UTILIZES THIS SEQUENCE TO EXTRACT A SEQUENCE OF KMAX DESIRED K0-ELEMENT HOMOGEOEOUS TEST EVENTS FOR FURTHER ANALYSIS. THE TOTAL NUMBER OF GENERATED EVENTS, KMAX, IS LIMITED, AS DESIRED. STAT3137 IS A VARIANT OF STAT201. STAT2986 MAY BE UTILIZED TO CHECK INTERSECTIONS VS. STAR EVENTS. ========================================================================= -- L 3138 -- ( TRANSLATION OF EACH ONE OF THE K0 ROWS OF A PERMUTATION BLOCK OF DIMENSION ( K0 x ENUM(I) ) BY THE K0 CORRESPONDING COMPONENTS OF EACH VECTOR FROM A FIXED BLOCK ) READS A SEQUENCE OF IMAX STAR EVENTS ON THE ELEMENTS ON THE ELEMENTS IN T = < 1, 2, ... , L0 > FROM BASE.INP, A ( K0 x ENUM(I) ) - DIMENSIONAL BLOCK OF PERMUTATIONS FROM PERM.INP, AND A SELECTED SEQUENCE OF K0-ELEMENT TRANSLATION VECTORS FROM STAT3138.INP. EACH ONE OF THE K0 ROWS OF THE PERMUTATION BLOCK IN PERM.INP IS TRANSLATED BY THE CORRESPONDING COMPONENTS OF EACH K0-ELEMENT VECTOR IN STAT3138.INP. THE RESULTING TRANSLATED PERMUTATIONS ARE RECORDED IN PERM.OUT FOR FURTHER ANALYSIS IN, E.G., STAT3131 AS PERM.INP. ========================================================================= -- L 3139 -- ( GENERATING K0-ELEMENT TEST EVENTS FROM A SEQUENCE OF CONSECUTIVE PAIRS OF PERMUTATIONS BY SELECTING ALTERNATING PAIRS OF ELEMENTS FROM EACH FIRST PERMUTATION UNION SCROLLING STRINGS OF SIZE FOUR FROM EACH SECOND PERMUTATION IN THE SEQUENCE ) STAT3139 READS AN ARBITRARILY LARGE BLOCK PERMUTATIONS OF VARIABLE DIMENSIONS FROM PERM.INP AND GENERATES K0-ELEMENT TEST EVENTS FROM CONSECUTIVE PAIRS BY SELECTING ALTERNATING PAIRS OF ELEMENTS FROM EACH FIRST PERMUTATION IN UNION WITH SCROLLING STRINGS OF SIZE FOUR FROM EACH SECOND PERMUTATION IN THE SEQUENCE. ========================================================================= -- L 3140 -- (PREDICTING FUTURE INTERSECTIONS FOR A CYCLIC BLOCK OF PERMUTATIONS) XXXXX STAT3140 READS A LARGE SEQUENCE OF Q0-ELEMENT PERMUTATIONS FROM PERM.INP AND A SEQUENCE OF IMAX K0-ELEMENT STAR EVENTS FROM BASE.INP. THE INPUT SEQUENCE IN PERM.INP IS READ AS A FIXED BLOCK OF Q0-ELEMENT PERMUTATIONS AND EACH SUCH EVENT IS INTERSECTED WITH EACH EVENT IN THE SEQUENCE OF STAR EVENTS READ FROM BASE.INP. THE ROUTINE FILTERS A SEQUENCE OF BLOCKS OF Q0-ELEMENT PERMUTATIONS OF A DESIRED BLOCK-SIZE, M0, E.G., M0 = 1 , 2 , 3 , 4 , ... , 100. THE PROGRAM IS AUTOMATICALLY TERMINATED WHEN A SEQUENCE OF PERMS 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 PERMUTATION. MOREOVER, OUTPUT PERMUTATIONS 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 A PERMUTATION 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. STAT3140 FILTERS PERMUTATIONS FROM PERM.INP INTO STAT3140.OUT AND PERM.OUT. INPUT BLOCKS FROM PERM.INP ARE ACCEPTED AS [*]-QUALIFIED iff Property 1 : TMAX IN THE INTERVAL ( -00,0 ) AND | TMAX | .GE. KCT, WHERE 1/KCT IS THE OCCURRENCE CADENCE OVER ALL STAR EVENTS. STAT3140 IS A VARIANT OF STAT1618, STREAMLINING OUTPUT UNTIL AN EXHAUSTIVE SEARCH OVER PERM.INP IS COMPLETED FOR QUALIFYING BLOCKS OF Q0-ELEMENT PERMS. HOWEVER, AN EXTENDED SET OF STAR EVENT INDICES IS USED IN SELECTING [*]-QUALIFYING BLOCKS OF PERMUTATIONS. CF. STAT1506 (AN EMBELLISHMENT OF STAT1323) FOR A VERSION OF STAT3140 WHICH GENERATES BLOCKS OF INPUT EVENTS RANDOMLY. STAT3140 USES A SEQUENCE OF CONSECUTIVE INDICES VS. DELTA TO GENERATE THE SPECTRUM OF BLOCKS OF PERMS WHOSE VALUES OF DELTA MATCH THE GIVEN SEQUENCE OF INDICES WITHIN A DESIRED INTERVAL, WHERE DELTA = IMAX - ( H(II)+MOD(H(II),KCT) ). CF STAT1504. CF. STAT1619, WHICH IS THE PERMUTATION VERSION OF STAT3140. CF. ALSO STAT2383. A TRANSLATED FILE OF [*]-QUALIFYING EVENTS IS RECORDED IN CUMULAT.OUT. CF. STAT1618 AND STAT1654. STAT3140 IS THE PERMUTATION VERSION OF STAT1618. ========================================================================= -- L 3141 -- ( GENERATING PERMUTATIONS FROM A FIXED TRIAD OF PERMUTATIONS BY BY INTERCHANGING ELEMENTS IN SELECTED COLUMNS VIA SELECTED 3-DIMENSIONAL VECTORS ) STAT3141 READS AS SEQUENCE OF THREE Q0-ELEMENT PERMUTATIONS FROM PERM.INP AND TWO COLUMN INDEX VECTORS FROM THE ANALYST IN REAL-TIME. THE THIRD PERMUTATION IS RECORDED IN PERM.OUT, AS WELL AS TWO ADDITIONAL PERMUTATIONS GENERATED BY INTERCHENGING ELEMENTS IN THE THIRD AND REMAINING PERMUTATIONS VIA THE COLUMNS SELECTED BY THE ANALYST IN THE 3-DIMENSIONAL VECTORS. THE ELEMENTS OF THE GENERATED PERMUTATIONS IN PERM.OUT ARE EXPECTED TO HAVE A RELATIVELY HIGH PROBABILITY OF OCCURRENCE. CF. STAT3140 FOR THE GENERATION OF PERM.INP AS PERM.OUT. ========================================================================= -- L 3142 -- ( PREDICTING FUTURE INTERSECTIONS FOR A CYCLIC BLOCK OF TEST EVENTS ) XXXXXII STAT3142 READS A LARGE SEQUENCE (E.G., UP TO 10,000 OR MORE INPUT TEST EVENTS) FROM STAT3142.INP AND IMAX K0-ELEMENT STAR EVENTS FROM BASE.INP. THE INPUT SEQUENCE IN STAT3142.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. STAT3142 FILTERS TEST EVENTS FROM STAT3142.INP INTO STAT3142.OUT AND STAT94.INP. INPUT BLOCKS FROM STAT3142.INP ARE ACCEPTED AS [*]- QUALIFIED IF II IS IN [V1,V2]. TMAX IS THE NUMBER OF ELAPSED STAR EVENTS OVER WHICH THE INTERSECTION CRITERION SHOULD HAVE BEEN SATISFIED. IMAX+1 IS THE STAR EVENT INDEX SUCCEEDING THE FINAL STAR EVENT. THIS PROCESS IS CYCLICALLY REPEATED OVER ALL STAR EVENTS OF BASE.INP. STAT3142 IS A VARIANT OF STAT3019, STREAMLINING OUTPUT UNTIL AN EXHAUSTIVE SEARCH OVER STAT3142.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 STAT3142 WHICH GENERATES BLOCKS OF INPUT EVENTS RANDOMLY. NEVERTHELESS, TMAX IS NOT RESTRICTED TO THE INTERVAL ( -OO, 0]. STAT3142 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. [*]-TEST EVENTS ARE RANKED IN ORDER OF MMAX = (KCT+H(II)) - (IMAX+1). CF. STAT1619, WHICH IS THE PERMUTATION VERSION OF STAT3142. CF. ALSO STAT1016. STAT94.INP MAY BE UTILIZED AS STAT2013.INP. A CUMULATIVE FILE OF [*]-QUALIFYING EVENTS IS RECORDED IN CUMULAT.OUT. CF. STAT2758 AND STAT3019. ========================================================================= -- L 3143 -- ( PREDICTING FUTURE INTERSECTIONS FOR A CYCLIC BLOCK OF TEST EVENTS ) XXXXXIII STAT3143 READS A LARGE SEQUENCE (E.G., UP TO 10,000 OR MORE INPUT TEST EVENTS) FROM STAT3143.INP AND IMAX K0-ELEMENT STAR EVENTS FROM BASE.INP. THE INPUT SEQUENCE IN STAT3143.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. STAT3143 FILTERS TEST EVENTS FROM STAT3143.INP INTO STAT3143.OUT AND STAT94.INP. INPUT BLOCKS FROM STAT3143.INP ARE ACCEPTED AS [*]- QUALIFIED IF II IS IN [V1,V2]. TMAX IS THE NUMBER OF ELAPSED STAR EVENTS OVER WHICH THE INTERSECTION CRITERION SHOULD HAVE BEEN SATISFIED. IMAX+1 IS THE STAR EVENT INDEX SUCCEEDING THE FINAL STAR EVENT. THIS PROCESS IS CYCLICALLY REPEATED OVER ALL STAR EVENTS OF BASE.INP. STAT3143 IS A VARIANT OF STAT3142, STREAMLINING OUTPUT UNTIL AN EXHAUSTIVE SEARCH OVER STAT3143.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 STAT3143 WHICH GENERATES BLOCKS OF INPUT EVENTS RANDOMLY. NEVERTHELESS, TMAX IS NOT RESTRICTED TO THE INTERVAL ( -OO, 0]. STAT3143 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. [*]-TEST EVENTS ARE RANKED IN ORDER OF MMAX = (IMAX-H(II))-S(LMAX) CF. STAT1619, WHICH IS THE PERMUTATION VERSION OF STAT3143. CF. ALSO STAT1016. STAT94.INP MAY BE UTILIZED AS STAT2013.INP. A CUMULATIVE FILE OF [*]-QUALIFYING EVENTS IS RECORDED IN CUMULAT.OUT. CF. STAT2758 AND STAT3019. ========================================================================= -- L 3144 -- ( TRANSLATING AND PREDICTING INTERSECTION PERFORMANCE OF EACH EVENT IN SUCCESSION FROM A FIXED BLOCK OF K0-ELEMENT EVENTS ) II STAT3144 READS A FIXED BLOCK OF BMAX K0-ELEMENT TEST EVENTS FROM STAT3144.INP, A LARGE SEQUENCE OF K0-ELEMENT TRANSLATION VECTORS FROM STAT3144.IN2 AND A SEQUENCE OF IMAX K0-ELEMENT STAR EVENTS FROM BASE.INP. EACH K0-ELEMENT EVENT IS TRANSLATED BY EACH VECTOR FROM THE SEQUENCE IN STAT3144.IN2 AND THE TRANSFORMED EVENTS ARE 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. STAT3144 IS A VARIANT OF STAT2064, TACITLY GENERATING A SEQUENCE OF HIGH-PROBABILITY TEST EVENTS IN STAT3144.OUT AND STAT94.INP. HOWEVER, EACH EVENT IN STAT3144.INP IS ANALYZED SEPARATELY AND IN SEQUENCE TO DETERMINE [*]-QUALIFYING EVENTS, RATHER THAN AS A BLOCK OF 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 STAT3144.INP ARE INCLUDED AS OUTPUT EVENTS. CF. STAT1649. CF. STAT1641 FOR GENERATING STAT3144.INP IN THE FORM OF STAT94.INP. CF. ALSO STAT1323, STAT1505, STAT1506, STAT1511, STAT1618 AND STAT1631. INPUT EVENTS IN STAT3144.INP MAY BE TACITLY GENERATED BY STAT1438 AS STAT94.INP. CF. STAT1438. CF. STAT204 FOR THE GENERATION OF STAT3144.INP AND CF. STAT2171 FOR THE GENERATION OF STAT3144.IN2. CF. ALSO STAT1606. A CUMULATIVE FILE OF EVENTS IS RECORDED IN CUMULAT.OUT. CF. STAT2064 AND STAT2853. ========================================================================= -- L 3145 -- ( GENERATING A SEQUENCE OF K0-ELEMENT EVENTS FROM A FIXED BLOCK OF 3 PERMUTATION VECTORS BY THE SELECTION OF SINGLETON UNION PAIRS OF ELEMENTS FROM SCROLLING COLUMNS OF EACH INPUT PERMUTATION VECTOR ) STAT3145 READS A FIXED BLOCK OF 3 F(J)-ELEMENT PERMUTATIONS FROM PERM.INP, AND A SEQUENCE OF IMAX K0-ELEMENT STAR EVENTS FROM BASE.INP. A SET OF K0-ELEMENT EVENTS IS GENERATED FROM THE 3 VECTORS IN PERM.INP BY SELECTING SINGLETON UNION PAIRS OF ELEMENTS FROM SCROLLING COLUMNS OF EACH INPUT PERMUTATION VECTOR. 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 INTERSECTIONS BETWEEN TEST EVENTS AND EACH EVENT IN THE RANGE OF SELECTED STAR EVENTS OF BSE.INP. 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. STAT3145 IS A VARIANT OF STAT3109, TACITLY GENERATING A SEQUENCE OF HIGH-PROBABILITY TEST EVENTS IN STAT3145.OUT AND STAT94.INP. A CUMULATIVE FILE OF EVENTS IS RECORDED IN CUMULAT.OUT. ========================================================================= -- L 3146 -- ( GENERATING A SEQUENCE OF K0-ELEMENT EVENTS FROM A FIXED BLOCK OF K0-ELEMENT EVENTS VIA AN ARBITRARILY LARGE SEQUENCE OF 2-DIMENSIONAL COLUMN ELEMENT SHIFTING VECTORS ) STAT3146 READS A FIXED BLOCK OF BMAX K0-ELEMENT EVENTS FROM STAT3146.INP, AN ARBITRARILY LARGE SEQUENCE OF 2-DIMENSIONAL COLUMN ELEMENT SHIFTING VECTORS FROM STAT3146.IN2, AND A SEQUENCE OF IMAX K0-ELEMENT STAR EVENTS FROM BASE.INP. OPERATING ON THE LAST TWO NON-POWER ELEMENT COLUMNS OF STAT3146.INP, THE VECTORS IN STAT3146.INP ARE UTILIZED TO GENERATE A SET OF K0-ELEMENT EVENTS INTO STAT94.INP BY SHIFTING THE ELEMENTS BY EITHER C(1) OR C(2) VERTICAL POSITIONS. THE PROCESS IS REPEATED OVER SCROLLING ROWS. 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 INTERSECTIONS BETWEEN TEST EVENTS AND EACH EVENT IN THE RANGE OF SELECTED STAR EVENTS OF BSE.INP. 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. STAT3146 IS A VARIANT OF STAT3109, TACITLY GENERATING A SEQUENCE OF HIGH-PROBABILITY TEST EVENTS IN STAT3146.OUT AND STAT94.INP. A CUMULATIVE FILE OF EVENTS IS RECORDED IN CUMULAT.OUT. ========================================================================= -- L 3147 -- ( TERSE VERSION AND VARIANT OF STAT190 ) DETERMINES AND PRINTS : 1) A MATRIX INDICATING, FOR EACH EVENT IN A SEQUENCE, THE NUMBER PAIRS OF ELEMENTS WHICH HAVE OCCURRED CONCURRENTLY IN A PRECEDING EVENT, AS WELL AS, THE % OF EVENTS IN WHICH A SET OF SUCH PAIRS OF ELEMENTS OCCURS AND THE AVERAGE # PAIRS PER EVENT 2) A MATRIX OF LONGSHOT AND REPEAT ELEMENTS FOR A SEQUENCE OF EVENTS 3) A FREQUENCY MATRIX FOR REPEATED ELEMENTS AND LONGSHOTS FOR A SEQUENCE OF EVENTS 4) A FREQUENCY TABLE OF HITS FOR NUMBERS vs. # SKIPS SINCE THE LAST HIT FOR A FINAL OR GIVEN EVENT REQUESTED 5) A SKIP-AND-HIT MATRIX , INDICATING THE RELATIVE NUMBER OF EVENTS IN WHICH EACH ELEMENT HAS SKIPPED OR HIT ON A GIVEN DATE 6) FILTERS A SEQUENCE OF WAGERED EVENTS, BASED UPON A PRESCRIBED SEQUENCE OF EVENT TYPES (# LONG SHOT ELEMENTS PLUS # REPEAT ELEMENTS), CHOSEN BY THE ANALYST. (PROCESSES UP TO 50 BASE EVENTS AND 200 TEST EVENTS PER EXECUTION). 7) GENERATES BOTH OUTPUT FILES STAT1990.INP AND STAT2164.INP. 8) INVOKING STAT1938.BAT (BY TYPING STAT1938 AT THE PROMPT) AUTOMATICALLY COPIES THE GENERATED FILE STAT1990.INP INTO D:\STAT1938\STAT1938.IN2. 9) INVOKING STAT2164.BAT (BY TYPING STAT2164 AT THE PROMPT) AUTOMATICALLY COPIES THE GENERATED FILE PERM.OUT INTO D:\STAT2164\PERM.INP. 10) STAT3147 GENERATES STAT2875.INP AS STAT94.INP. STAT3147 IS A VARIANT AND TERSE VERSION OF STAT190, WITH ONLY OUTPUT FILES STAT3147.OUT AND STAT94.INP DISPLAYED. CF. STAT190 FOR THE EXTENDED VERSION. ========================================================================= -- L 3148 -- ( GENERATING A SEQUENCE OF K0-ELEMENT EVENTS FROM A FIXED BLOCK OF BMAX EVENTS BY TRANSLATING SELECTED ELEMENTS FROM SEMI-CIRCULAR SUBSETS OF PAIRS OF ADJACENT EVENTS IN THE FIXED BLOCK ) STAT3148 READS A FIXED BLOCK OF BMAX K0-ELEMENT TEST EVENTS FROM STAT3148.INP, A SEQUENCE TRANSLATION VECTORS < C(J) > , J = 1,...,K0 FROM STAT3148.IN2 AND A SEQUENCE OF IMAX K0-ELEMENT STAR EVENTS FROM BASE.INP. A TRANSFORMED SET OF K0-ELEMENT EVENTS IS GENERATED FROM STAT3148.INP BY THE ACTION OF THE TRANSLATION VECTORS ON SEMI- CIRCULAR SUBSETS OF ADJACENT PAIRS OF EVENTS IN STAT3148.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. STAT3148 IS A VARIANT OF STAT3108, TACITLY GENERATING A SEQUENCE OF HIGH-PROBABILITY TEST EVENTS IN STAT3148.OUT AND STAT94.INP. A CUMULATIVE FILE OF EVENTS IS RECORDED IN CUMULAT.OUT. STAT3148 IS ALSO A VARIANT OF STAT3100. CF. ALSO STAT3109. ========================================================================= -- L 3149 -- MONITOR MATRIX GENERATOR XXXXX FREQUENCY COUNTS FOR ELEMENTS IN A LARGE SEQUENCE OF K0-ELEMENT EVENTS ( VARIANT OF STAT2343 ) V COMPARES A LARGE SET OF K0-ELEMENT BLOCKS WITH A FINITE BASE SET OF ELEMENTS, DETERMINES THE NUMBER OF ELEMENTS IN EACH EVENT PER BMAX-EVENT BLOCK IN VS. THE BASE SET, DETERMINES THE RELATIVE FREQUENCIES AND SUM OF RELATIVE FREQUENCIES OF COMMON ELEMENTS FOR COMPARISON, AND GENERATES A MONITOR MATRIX REFLECTING THE PATTERNS OF MATCHES FROM THE ABOVE SEQUENCE OF BASE SETS. STAT3149 IS A VARIANT STAT2343, ANALYZING K0-ELEMENT TEST EVENTS, RATHER THAN PERMUTATIONS, WITH EVENTS FILTERED FROM SUB-BLOCKS OF SIZE BMAX. IF THE EXPECTED FREQUENCY CADENCE = 1/K, THEN STAT3149 TACITLY EXAMINES THE LAST K FREQUENCY COUNTS, INSTEAD OF THE LAST JMAX FREQUENCY COUNTS, WHEN SELECTING [*]-QUALIFYING EVENTS TO BE FILTERED, WHERE K IS A DETERMINED FREQUENCY CADENCE FOR 1 / K EVENTS. CF. STAT1031 AND STAT1036 FOR PERMUTATION REPLICAS. STAT3149 READS SUB-BLOCKS OF BMAX INPUT TEST EVENTS FROM STAT3149.INP AND UP TO 600 INPUT STAR EVENTS FROM BASE.INP. [*]-QUALIFYING EVENTS ARE FILTERED AND RECORDED IN STAT94.INP, RANKED IN DESCENDING ORDER OF INDEX DISPLACENT, IDELTA = TOTAL INTERSECTION FREQUENCY SUM OF THE GIVEN EVENT VS. THE COMPLETE SPECTRUM OF IMAX STAR EVENTS. STAT3149 IS A TEST EVENT VERSION OF STAT2349. CF. STAT2349 FOR THE PERMUTATION VERSION. CF. ALSO STAT2514, STAT2604 AND STAT2606. ========================================================================= -- L 3150 -- ( RE-FORMATTING A (BMAX x K0)-DIMENSIONAL BLOCK OF EVENTS AS A Q0-ELEMENT PERMUTATION FOR EACH ONE OF THE K0 SEPARATE COLUMNS ) STAT3150 READS A (BMAX x K0)-DIMENSIONAL BLOCK OF EVENTS FROM STAT3150.INP, ASSURES THAT THE ELEMENTS ARE UNIQUE BY ELIMINATING EXCESS REPEATING ELEMENTS, AND RECORDS THE REMAINING ELEMENTS AS A Q0-DIMENSIONAL PERMUTATION IN PERM.INP FOR FURTHER ANALYSIS FOR EACH ONE OF THE K0 SEPARATE COLUMNS. STAT3150 IS A VARIANT OF STAT3135, WHICH PROCESSES THE ENTIRE (BMAX x K)-DIMENSIONAL BLOCK AS ONE PERMUTATION. A CUMULATIVE FILE OF PERMUTATIONS IS RECORDED IN CUMULAT.OUT. ========================================================================= -- L 3151 -- ( GENERATING A SEQUENCE OF K0-ELEMENT EVENTS FROM A FIXED BLOCK OF BMAX EVENTS BY INTERCHANGING TENS AND UNITS DIGITS OF PAIRS OF ELEMENTS IN ALTERNATING ROWS AND ALTERNATING COLUMNS ) STAT3151 READS A FIXED BLOCK OF BMAX K0-ELEMENT TEST EVENTS FROM STAT3151.INP, A SEQUENCE TRANSLATION VECTORS < C(J) > , J = 1,...,K0 FROM STAT3151.IN2 AND A SEQUENCE OF IMAX K0-ELEMENT STAR EVENTS FROM BASE.INP. A TRANSFORMED SET OF K0-ELEMENT EVENTS IS GENERATED FROM STAT3151.INP BY THE ACTION OF THE TRANSLATION VECTORS ON EVENTS GENERATED BY INTERCHANGING TENS AND UNITS DIGITS OF ELEMENTS IN ALTERNATING ROWS AND ALTERNATING COLUMNS OF STAT3151.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. STAT3151 IS A VARIANT OF STAT3148, TACITLY GENERATING A SEQUENCE OF HIGH-PROBABILITY TEST EVENTS IN STAT3151.OUT AND STAT94.INP. A CUMULATIVE FILE OF EVENTS IS RECORDED IN CUMULAT.OUT. STAT3151 IS ALSO A VARIANT OF STAT3100. CF. STAT3109 AND STAT3148. ========================================================================= -- L 3152 -- MONITOR MATRIX GENERATOR XXIX FREQUENCY COUNTS FOR A SEQUENCE OF ELEMENTS < 1 , 2, ... , L0 > VS. A SEQUENCE OF STAR EVENTS ( OVER K0 SEPARATE COLUMNS IN THE CREATION OF , L=1, ... , L0 ) READS A SEQUENCE OF IMAX STAR EVENTS ON THE ELEMENTS ON THE ELEMENTS IN T = < 1, 2, ... , L0 > DETERMINES A (0,1) - OCCURRENCE MATRIX FOR EACH OF THE L0 ELEMENTS OF THE SET T, THE RELATIVE FREQUENCY OF EACH ELEMENT IN T, AND DETERMINES A PROJECTED SEQUENCE OF TRANSLATION VECTORS IN PERM.INP, WHICH ARE HIGHLY LIKELY TO OCCUR IN THE NEXT K0-ELEMENT STAR EVENT OF BASE.INP. STAT3152 IS A VARIANT OF STAT1015 AND STAT3132. EACH FIXED ELEMENT OF T, RATHER THAN INTERSECTIONS OF K0-ELEMENT EVENTS VS. THE BASE SET OF STAR EVENTS, BUT FILTERING STAR ELEMENTS, BASED UPON WHETHER OR NOT THE NUMBER OF 0'S SUCCEEDING THE LAST 1 IN THE STAR EVENT INTERSECTION OCCURRENCE SEQUENCE EXCEEDS A DETERMINED THRESHOLD VALUE, M0, BASED UPON STAR EVENT INDEXES. STAT3152 READS UP TO 100 STAR EVENTS IN BASE.INP AND ANALYZES ELEMENTS IN THE RANGE < 1, ... , L0 >, WHERE THE MAXIMUM VALUE OF L0 IS 54. CF. ALSO STAT893, STAT894, STAT899, AND STAT933. VS. THE BASE SET OF STAR EVENTS, BUT FILTERING STAR ELEMENTS, BASED UPON WHETHER OR NOT THE INDEX OF STAR EVENT (IMAX+1-M0) IS CONGRUENT TO 0 (MOD KCT), WHERE M0 IS THE STAR INDEX OF THE FIRST OCCURRING ELEMENT 1 IN THE (0,1) - OCCURRENCE MATRIX AND KCT IS THE NUMBER OF ELAPSED EVENTS PER OCCURRENCE OF A 1 IN THE (0,1) - OCCURRENCE MATRIX FOR EACH OF THE L0 STAR ELEMENTS. M1 IS THE DESIRED THRESHOLD VALUE FOR INDEXES: M1 (MOD KCT). STAT3152 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. STAT3152 IS A VARIANT OF STAT1015, BUT UTILIZES A DIFFERENT ALGORITHMIC TECHNIQUE FOR DETERMINING HIGH-PROBABILITY ELEMENTS OVER K0 SEPARATE COLUMNS IN THE CREATION OF , L=1, ... , L0. SIGNIFICANTLY, STAT3152 GENERATES PERM.OUT AND PERM2.OUT FOR PROCESSING AS PERM.INP IN STAT543, STAT3011, STAT3012, STAT3013, STAT3121. AND STAT3122. A Q0-ELEMENT VECTOR OF TRANSLATION ELEMENTS IS READ FROM PERM.INP AND COMPARED TO D(L) FOR EACH L. IF D(L) = Q(L) FOR ANY L, THEN L IS APPENDED AS A [*]-QUALIFYING ELEMENT IN PERM.OUT. THE SEQUENCE OF EXPECTED WEIGHTS, D(L), ( , L = 1, ... , L0 ) IS RECORDED IN PERM2.INP FOR FURTHER ANALYSIS, E.G., IN STAT3123 AS PERM2.INP, WHEN RANKING PERMUTATIONS BY SUMS OF ELEMENT WEIGHTS. CF. STAT3062, STAT1015, AND STAT3132. ========================================================================= -- L 3153 -- ( GENERATING A SEQUENCE OF K0-ELEMENT EVENTS FROM A FIXED BLOCK OF BMAX EVENTS BY SELECTING K0 ELEMENTS FROM ROWS IN [ 1,BMAX ] VIA EACH RANDOMLY GENERATED K0-ELEMENT EVENT IN A SECONDARY BLOCK ) STAT3153 READS A FIXED BLOCK OF BMAX K0-ELEMENT TEST EVENTS FROM STAT3153.INP, A SEQUENCE OF ROW-SELECTION VECTORS < C(J) >,J=1,...,K0 FROM STAT3153.IN2, WITH EACH ELEMENT C(J) AUTOMATICALLY ADJUSTED (MOD BMAX), AND A SEQUENCE OF IMAX K0-ELEMENT STAR EVENTS FROM BASE.INP. A TRANSFORMED SET OF K0-ELEMENT EVENTS IS GENERATED FROM STAT3153.INP BY THE ACTION OF THE K0-ELEMENT ROW SELECTION VECTORS FROM STAT3153.IN2 ON THE (BMAX x K0)-DIMENSIONAL BLOCK IN STAT3153.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. STAT3153 IS A VARIANT OF STAT3148, TACITLY GENERATING A SEQUENCE OF HIGH-PROBABILITY TEST EVENTS IN STAT3153.OUT AND STAT94.INP. A CUMULATIVE FILE OF EVENTS IS RECORDED IN CUMULAT.OUT. CF. ALSO STAT3109 AND STAT3148. ========================================================================= -- L 3154 -- ( GENERATING A SEQUENCE OF K0-ELEMENT EVENTS FROM A ( K0 x Q(J) ) - DIMENSIONAL BLOCK OF PERMUTATIONS BY SELECTING RANDOM ELEMENTS VIA EACH RANDOMLY GENERATED K0-ELEMENT EVENT IN A SECONDARY BLOCK ) STAT3154 READS A ( K0 x Q(J) )-DIMENSIONAL BLOCK OF PERMUTATIONS FROM PERM.INP, A SEQUENCE OF ROW-SELECTION VECTORS < C(J) >,J=1,...,K0 FROM STAT3154.IN2, WITH EACH ELEMENT C(J) AUTOMATICALLY ADJUSTED (MOD Q(J)), AND A SEQUENCE OF IMAX K0-ELEMENT STAR EVENTS FROM BASE.INP. A TRANSFORMED SET OF K0-ELEMENT EVENTS IS GENERATED FROM PERM.INP BY THE ACTION OF THE K0-ELEMENT ROW SELECTION VECTORS FROM STAT3154.IN2 ON THE (K0 x Q(J))-DIMENSIONAL BLOCK IN PERM.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. STAT3154 IS A VARIANT OF STAT3153, TACITLY GENERATING A SEQUENCE OF HIGH-PROBABILITY TEST EVENTS IN STAT3154.OUT AND STAT94.INP. A CUMULATIVE FILE OF EVENTS IS RECORDED IN CUMULAT.OUT. CF. ALSO STAT3109 AND STAT3153. PERM.INP IS GENERATED AS PERM.OUT IN / / STAT3152. / / ========================================================================= -- L 3155 -- ( FILTERING A DESIRED NUMBER KMAX OF K0-ELEMENT EVENTS FROM AN ARBITRARILY LARGE BMAX-EVENT BLOCK FOR WHICH THE INDEX OF EACH [*]-QUALIFYING EVENT IS CONGRUENT TO 1 (MOD M), WHERE M IS AUTOMATICALLY COMPUTED IN REAL TIME AS BMAX/KMAX ) STAT3155 READS AN ARBITRARILY LARGE SEQUENCE OF BMAX K0-ELEMENT EVENTS FROM STAT3155.INP AND FILTERS A DESIRED NUMBER KMAX OF TEST EVENTS INTO STAT94.INP FOR WHICH EACH CORRESPONDING INDEX IS DETERMINED TO BE CONRUENT TO 1 (MOD M), WHERE M = BMAX/KMAX AND M IS AUTOMATICALLY DETERMINED IN REAL TIME. CF. ALSO STAT3032, STAT3121, STAT1275, STAT1286, STAT1369, AND STAT2402. ========================================================================= -- L 3156 -- ( TESTING AND PREDICTING INTERSECTION PERFORMANCE OF CYCLIC SUB-BLOCKS OF K0-ELEMENT TRANSLATED EVENTS FROM A FIXED BLOCK ) XX STAT3156 READS A LARGE BLOCK OF BMAX K0-ELEMENT TEST EVENTS FROM STAT3156.INP, A SEQUENCE OF CMAX K0-ELEMENT TRANSLATION VECTORS IN STAT3156.IN2, AND A SEQUENCE OF IMAX K0-ELEMENT STAR EVENTS FROM BASE.INP. CYCLIC BLOCKS OF K0-ELEMENT EVENTS OF A DESIRED BLOCK- SIZE ARE TRANSLATED AND INTERSECTED WITH THE SEQUENCE OF STAR EVENTS FROM BASE.INP. THE PROCESS IS TERMINATED WHEN A DESIRED NUMBER OF SUB-BLOCKS ARE FILTERED WHICH ARE [*]-QUALIFIED. 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. STAT3156 IS A VARIANT OF STAT1654, CYCLICALLY GENERATING SEQUENCES OF HIGH-PROBABILITY TEST EVENTS IN STAT3156.OUT AND STAT94.INP. A CUMULATIVE FILE OF EVENTS IS RECORDED IN CUMULAT.OUT. CF. STAT1649. CF. STAT1641 FOR GENERATING STAT3156.INP IN THE FORM OF STAT94.INP. CF. ALSO STAT1323, STAT1505, STAT1506, STAT1511, STAT1618 AND STAT1631. EVENTS GENERATED IN STAT94.IN2 SHOULD BE TACITLY REMOVED FROM CUMULAT.OUT AS NON-[*]-QUALIFIED EVENTS. ELEMENTS OF EVENTS ARE INDEXED IN A DESIRED SEQUENTIAL ORDER. CF. STAT2904 FOR AN EXTENDED VERSION OF STAT3156. CF. STAT1654 FOR THE NON-CYCLIC SUB-BLOCKS VERSION OF STAT3156. ========================================================================= -- L 3157 -- ( GENERATING A SEQUENCE OF K0-ELEMENT EVENTS FROM A FIXED BLOCK OF BMAX K0-ELEMENT EVENTS AND A SECOND FIXED BLOCK OF CMAX K0-ELEMENT EVENTS VIA CONSTRUCTED ELEMENTS OF THE FORM D(J) = 2*B(J)+C(J) ) STAT3157 READS A FIXED BLOCK OF BMAX K0-ELEMENT TEST EVENTS FROM STAT3157.INP, A SEQUENCE CMAX K0-ELEMENT TEST EVENTS FROM STAT3157.IN2 AND A SEQUENCE OF IMAX K0-ELEMENT STAR EVENTS FROM BASE.INP. A SEQUENCE OF K0-ELEMENT EVENTS IS CONSTRUCTED OF THE FORM D(J) = 2*B(J) + C(J), FOR J = 1,2,...,K0 , WHERE FOR EACH J B(J) AND C(J) ARE RESTRICTED (MOD(L0/2)) AND (MOD 2), RESPECTIVELY. 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. STAT3157 IS A VARIANT OF STAT3151, TACITLY GENERATING A SEQUENCE OF HIGH-PROBABILITY TEST EVENTS IN STAT3157.OUT AND STAT94.INP. STAT3157 IS ALSO A VARIANT OF STAT3100. CF. STAT3109 AND STAT3148. ========================================================================= -- L 3158 -- ( TRANSLATIONS OF EACH ELEMENT OF EACH PERMUTATION OF A FIXED BLOCK BY M0 UNITS FOR WHICH THE ELEMENT EQUALS OR EXCEEDS A DESIRED LOWER BOUND OR FOR WHICH THE ELEMENT EQUALS OR IS EXCEEDED BY A DESIRED UPPER BOUND , V0 ) STAT3158 READS A SEQUENCE OF IMAX STAR EVENTS ON THE ELEMENTS IN T = < 1, 2, ... , L0 > AND AN ARBITRARILY LARGE BLOCK OF PERMUTATIONS IN PERM.INP. ELEMENTS OF EACH PERMUTATION WHICH EQUAL OR EXCEED A DESIRED LOWER BOUND ( OR WHICH EQUAL OR ARE EXCEEDED BY A DESIRED UPPER BOUND ) ARE TRANSLATED BY M0 UNITS TO GENERATE A NEW PERMUTATION IN PERM.OUT. STAT3158 IS A VARIANT OF STAT3118 AND A PERMUTATION VERSION OF STAT3159. A CUMULATIVE FILE OF [*]-QUALIFYING TEST EVENTS IS RECORDED IN CUMULAT.OUT. ========================================================================= -- L 3159 -- ( TRANSLATIONS OF EACH ELEMENT OF EACH TEST EVENT IN A FIXED BLOCK BY M0 UNITS FOR WHICH THE ELEMENT EQUALS OR EXCEEDS A DESIRED LOWER BOUND , V0 , OR EQUALS OR IS EXCEEDED BY A DESIRED UPPER BOUND , V0 ) STAT3159 READS A SEQUENCE OF IMAX STAR EVENTS ON THE ELEMENTS IN T = < 1, 2, ... , L0 > AND AN ARBITRARILY LARGE BLOCK OF TEST EVENTS IN STAT3159.INP. ELEMENTS OF EACH TEST EVENT WHICH EQUAL OR EXCEED A DESIRED LOWER BOUND, V0, (OR EQUAL OR ARE EXCEEDED BY A DESIRED UPPER BOUND, V0), ARE TRANSLATED BY M0 UNITS TO GENERATE A NEW TEST EVENT BLOCK IN STAT94.INP. STAT3159 IS A VARIANT AND TEST EVENT VERSION OF STAT3158. A CUMULATIVE FILE OF [*]-QUALIFYING TEST EVENTS IS RECORDED IN CUMULAT.OUT. ========================================================================= -- L 3160 -- ( GENERATING A SEQUENCE OF K0-ELEMENT EVENTS FROM A (BMAX x K0)- DIMENSIONAL BLOCK OF EVENTS BY THE SELECTION OF K0-PARTITE EVENTS WHICH HAVE INDICES CONGRUENT TO F(n) (MOD M) FOR SOME INDEX M OVER ALL POSSIBLE EVENTS AUTOMATICALLY COMPUTED IN REAL TIME, WITH FF(n) = THE nth TERM OF A FIBONACCI SEQUENCE ) STAT3160 READS A (BMAX x K0)-DIMENSIONAL BLOCK OF EVENTS FROM STAT3160.INP, GENERATING A SEQUENCE OF K0-ELEMENT EVENTS BY THE SELECTION OF K0-PARTITIE EVNETS WHICH HAVE INDICES CONRUENT TO F(n) (MOD M) FOR SOME INDEX M OVER ALL POSSIBLE EVENTS AUTOMATICALLY COMPUTED IN REAL TIME, WHERE F(n) IS THE nth TERM OF A FIBONACCI SEQUENCE. THE K0-ELEMENT EVENTS IN STAT3160.INP MAY POSSIBLY BE GENERATED, E.G., IN STAT3156 AS STAT94.INP, ET AL. STAT3160 IS A VARIANT OF STAT3153 AND STAT3121, WHICH IS THE PERMUTATION VERSION OF STAT3160. CF. ALSO STAT3061 ========================================================================= -- L 3161 -- ( GENERATING K0-ELEMENT EVENTS FROM TWO FIXED BI-PARTITE BLOCKS OF K0-ELEMENT VECTORS OF UNIT'S AND TEN'S DIGITS, RESPECTIVELY ) STAT3161 READS A FIXED BLOCK OF BMAX K0-ELEMENT VECTORS OF TEN'S DIGITS FROM STAT3161.INP, A BLOCK OF CMAX K0-ELEMENT VECTORS OF UNIT'S DIGITS FROM STAT3161.IN2 (WITH BOTH BLOCKS PRE-DETERMINED FROM PAST STAR EVENTS), AN OPTIONALLY LARGE SEQUENCE OF TRANSLATION VECTORS IN STAT3161.IN3, AND A SEQUENCE OF IMAX K0-ELEMENT STAR EVENTS FROM BASE.INP. BMAX*CMAX K0-ELEMENT EVENTS ARE GENERATED FROM STAT3161.INP, STAT3161.IN2, AND BASE.INP BY ADDING CORRESPONDING UNIT'S AND TEN'S DIGITS OVER THE K0 CORRESPONDING COLUMNS OF EACH BLOCK OF EVENTS. THIS PROCESS IS REPEATED FOR BI-PARTITE EVENTS. 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. STAT3161 IS A VARIANT OF STAT2972, TACITLY GENERATING A SEQUENCE OF HIGH-PROBABILITY TEST EVENTS IN STAT3161.OUT AND STAT94.INP. CF. STAT1641 FOR GENERATING STAT3161.INP IN THE FORM OF STAT94.INP. CF. ALSO STAT1323, STAT1505, STAT1506, STAT1511, STAT1618, AND STAT1631. INPUT EVENTS IN STAT3161.INP MAY BE TACITLY GENERATED BY STAT1438 AS STAT94.INP. CF. STAT1438. CF. STAT204 FOR THE GENERATION OF STAT3161.INP AND STAT2171 FOR THE GENERATION OF STAT3161.IN2. CF. ALSO STAT1606 AND STAT2853. A CUMULATIVE FILE OF TEST EVENTS IS RECORDED IN CUMULAT.OUT. TEMPORARY UNIT'S AND TEN'S DIGIT BLOCKS OF VECTORS ARE RECORDED IN TEMP3161.INP AND TEMP3161.IN2, RESPECTIVELY. ========================================================================= -- L 3162 -- ( GENERATING K0-ELEMENT EVENTS FROM FIXED PERMUTATION OF SIZE L0 BY SELECTING SCROLLING MIRROR IMAGE SUB-STRINGS OF SIZE 3 VS. SIZE 3 OR SIZE 3 VS. SIZE 2 FROM THE HEAD OR TAIL OF THE FIXED PERMUTATION ) STAT3162 READS A FIXED PERMUTATION ON L0 ELEMENTS FROM PERM.INP L = 1,...,PNUM FROM PERM.INP. A SEQUENCE OF K0-ELEMENT EVENTS IS GENERATED FROM PERM.INP BY SELECTING SCROLLING MIRROR IMAGE SUB-STRINGS OF SIZE 3 VS. SIZE 3 OR SIZE 3 VS. SIZE 2 FROM THE HEAD OR TAIL OF THE FIXED PERMUTATION. GENERATED EVENTS ARE RECORDED IN STAT94.INP. PERM.INP MAY BE GENERATED BY STAT3106 AS PERM.OUT FOR PROCESSING BY STAT3162. ========================================================================= -- L 3163 -- ( EXTRACTING A Q0-ELEMENT SUB-PERMUTATION FROM A FIXED PERMUTATION OF SIZE L0 FOR WHICH THE INDEX OF EACH EXTRACTED ELEMENT IS EITHER WITHIN (Q0-4)/2 UNITS FROM THE MEAN INDEX OF THE FIXED PERMUTATION OR WITHIN 3 UNITS OF THE INITIAL OR FINAL ELEMENT ) STAT3163 READS A FIXED PERMUTATION ON L0 ELEMENTS FROM PERM.INP AND EXTRACTS A V0-ELEMENT SUB-PERMUTATION FROM THE FIXED PERMUTATION OF SIZE L0 SUCH THAT THE INDEX OF EACH EXTRACTED ELEMENT IS WITHIN (Q0-4)/2 UNITS OF THE MEAN INDEX OF THE FIXED PERMUTATION OR WITHIN 3 UNITS OF THE INITIAL OR FINAL ELEMENT. THE NEWLY EXTRACTED PERMUTATION IS RECORDED IN PERM.OUT FOR FURTHER ANALYSIS IN STAT3162, STAT543, STAT2121, STAT2122, OR ANOTHER ROUTINE. ========================================================================= -- L 3164 -- ( GENERATING HOMOGENEOUS K0-ELEMENT EVENTS FROM AN ARBITRARILY LARGE BLOCK BY SELECTING EITHER THE MAXIMUM OR MINIMUM ELEMENT FROM EACH VERTICAL PAIR OF ELEMENTS IN CONSECUTIVE PAIRS OF EVENTS OVER EACH COLUMN C(J), J = 1 , ... , K0 ) STAT3164 READS AN ARBITRARILY LARGE SEQUENCE OF BMAX K0-ELEMENT EVENTS FROM STAT3164.INP AND GENERATES HOMOGENEOUS K0-ELEMENT TEST EVENTS BY SELECTING EITHER THE MAXIMUM OR MINIMUM ELEMENT FROM EACH VERTICAL PAIR OS ELEMENTS IN CONSECUTIVE PAIRS OF EVENTS OVER EACH COLUMN C(J), J = 1 , ... , K0 . ========================================================================= -- L 3165 -- ( GENERATING HOMOGENEOUS K0-ELEMENT EVENTS FROM AN ARBITRARILY LARGE BLOCK BY ALLOWING THE ROUTINE TO AUTOMATICALLY DETERMINE (BASED UPON EVEN/ODD PARITY OF K0 COLUMN ELEMENTS) THE MAXIMUM OR MINIMUM ELEMENT FROM EACH VERTICAL PAIR OF ELEMENTS IN CONSECUTIVE PAIRS OF EVENTS OVER EACH COLUMN C(J),J = 1 , ... , K0) II STAT3165 READS AN ARBITRARILY LARGE SEQUENCE OF BMAX K0-ELEMENT EVENTS FROM STAT3165.INP AND GENERATES HOMOGENEOUS K0-ELEMENT TEST EVENTS BY ALLOWING THE ROUTINE TO AUTOMATICALLY DETERMINE (BASED UPON EVEN/ODD PARITY OF K0 COLUMN ELEMENTS) THE MINIMUM OR MAXIMUM ELEMENT FROM EACH VERTICAL PAIR OS ELEMENTS IN CONSECUTIVE PAIRS OF EVENTS OVER EACH COLUMN C(J), J= 1 , ... , K0. STAT3165 IS A VARIANT OF STAT3164, ALLOWING FOR RANDOM SELECTION OF K0-ELEMENT EVENTS FROM STAT3165.INP INTO STAT94.INP. ========================================================================= -- L 3166 -- ( GENERATING K0 Q0-ELEMENT PERMUTATIONS FROM A FIXED BLOCK OF K0-ELEMENT EVENTS FOR WHICH EACH PERMUTATION CONSISTS OF THE FIRST Q0 DISTINCT ELEMENTS IN EACH ONE OF THE K0 COLUMNS ) READS A SEQUENCE OF BMAX K0-ELEMENT EVENTS FROM STAT3166.INP AND A SEQUENCE OF IMAX K0-ELEMENT STAR EVENTS FROM BASE.INP. A SEQUENCE OF K0 Q0-ELEMENT PERMUTATION ELEMENTS IS SELECTED FROM ALL K0 COLUMNS OF STAT3166.INP, SELECTING THE FIRST Q0 DISTINCT ELEMENTS OF EACH COLUMN. EACH GENERATED PERMUTATION IS RECORDED IN STAT201.INP AND PERM.INP FOR FURTHER ANALYSIS IN STAT201 OR STAT3112 OR ANOTHER ROUTINE. THE PROCESS IS CYCLICALLY CONTINUED UNTIL THE DESIRED NUMBER OF Q0 DISTINCT ELEMENTS IS SELECTED FROM EACH COLUMN OF STAT3166.INP. ========================================================================= -- L 3167 -- ( DETERMINING THE MEAN, MINIMUM, AND MAXIMUM ELEMENTS FROM A SEQUENCE < (L> ) , FOR L = 1 , 2 , 3 , 4 , ... , L0 , IN EACH ONE OF K0 SEPARATE COLUMNS OF A (BMAX x K0)-DIMENSIONAL BLOCKOF EVENTS ) READS A SEQUENCE OF IMAX K0-ELEMENT STAR EVENTS FROM BASE.INP AND A ( BMAX x K0 )-DIMENSIONAL BLOCK OF EVENTS FROM STAT3167.INP AND DETERMINES THE MEAN, MINIMUM, AND MAXIMUM ELEMENTS IN EACH ONE OF K0 SEPARATE COLUMNS OF STAT3167.INP. THE ROUTINE SUBSEQUENTLY RECORDS IN STAT201.INP AND STAT361.INP, RESPECTIVELY, ( K0 x 3)- DIMENSIONAL BLOCK OF ELEMENTS OF THE FORM OR OF THE FORM OVER K0 DISTINCT COLUMNS. ========================================================================= -- L 3168 -- ( VARIANT OF STAT201 , OPTIONALLY GENERATING ( MOD T ) AUTOMATICALLY ) READS A SET OF K0-ELEMENT TRANSLATION VECTORS FROM STAT3168.IN2 AND A SEQUENCE OF K0 BASE SETS OF VARIABLE SIZES N1,N2, ... , NK0 FROM STAT3168.INP AND GENERATES K0-ELEMENT EVENTS WHICH CONTAIN A DISTINCT REPRESENTATIVE FROM EACH OF THE K0 BASE SETS WITH, E.G., K0 = 5. K0 CAN RANGE BETWEEN 2 AND 6. THE MAXIMUM BASE SET SIZES ARE SUCH THAT N1*N2*N3*...*NK0 < 6400/K0. THE TOTAL NUMBER OF EVENTS IS LIMITED, AS DESIRED. THE ANALYST IS PROMPTED FOR THE MAXIMUM NUMBER OF EVENTS DESIRED AND THE INDEX OF THE STARTING OR INITIAL EVENT DESIRED, FROM WHICH THE ROUTINE DETERMINES THE APPROPRIATE STEP-SIZE FOR PRINTING THE DESIRED NUMBER OF EVENTS. STAT2986 MAY BE UTILIZED TO CHECK INTERSECTIONS VS. STAR EVENTS. STAT3168 IS A VARIANT OF STAT201, OPTIONALLY GENERATING THE VALUE OF T IN THE EXPRESSION ( MOD T ) FOR SELECTING EVENT INDICES AUTOMATICALLY. STAT3168 IS A VARIANT OF STAT201. CF. STAT201. ========================================================================= -- L 3169 -- ( GENERATING K0-ELEMENT EVENTS FROM A FIXED BLOCK OF EVENTS BY THE SELECTION OF EVEN-INDEXED ELEMENTS FROM ROW I IN UNION WITH ODD-INDEXED ELEMENTS FROM ROW (I+1) OR ODD-INDEXED ELEMENTS FROM FROM ROW I UNION EVEN-INDEXED ELEMENTS FROM ROW (I+1) OVER ALL PAIRS OF ADJACENT EVENTS ) STAT3169 READS A SEQUENCE OF BMAX K0-ELEMENT TEST EVENTS FROM STAT3169.INP, WHICH IS UTILIZED TO GENERATE A SEQUENCE OF EVENTS CONSISTING OF EVEN-INDEXED ELEMENTS FROM ROW I IN UNION WITH ODD-INDEXED ELEMENTS FROM ROW (I+1) PR ODD-INDEXED ELEMENTS FROM ROW I IN UNION WITH EVEN-INDEXED ELEMENTS FROM ROW (I+1) OVER ALL PAIRS OF ADJACENT EVENTS. ========================================================================= -- L 3170 -- ( GENERATING K0-ELEMENT EVENTS FROM A FIXED BLOCK OF EVENTS BY THE CYCLICAL SELECTION OF FIXED SEQUENCES OF 3 CONSECUTIVE COLUMN ELEMENTS IN UNION WITH SCROLLING ELEMENTS IN THE COLUMN OF THE FINAL ELEMENT OF EACH SEQUENCE ) STAT3170 READS A SEQUENCE OF BMAX K0-ELEMENT TEST EVENTS FROM STAT3170.INP, WHICH IS UTILIZED TO GENERATE A SEQUENCE OF EVENTS CONSISTING OF K0-ELEMENT EVENTS FROM A FIXED BLOCK OF EVENTS BY THE CYCLICAL SELECTION OF FIXED SEQUENCES OF 3 CONSECUTIVE COLUMN ELEMENTS IN UNION WITH SCROLLING ELEMENTS IN THE COLUMN OF THE FINAL ELEMENT OF EACH SEQUENCE. GENERATED EVENTS ARE RECORDED IN STAT94.INP FOR FURTHER ANALYSIS. ========================================================================= -- L 3171 -- ( GENERATING K0-ELEMENT EVENTS FROM A FIXED BLOCK OF EVENTS BY THE TRANSLATION OF ELEMENTS IN SEQUENCES OF 3 SELECTED COLUMNS BY V0 UNITS UNION A TRANSLATION OF THE POWER ELEMENT C(L0) INTO C(L0)/|V0| + 2 FOR EACH ONE OF THE BMAX INPUT EVENTS ) STAT3171 READS A SEQUENCE OF BMAX K0-ELEMENT TEST EVENTS FROM STAT3171.INP, WHICH IS UTILIZED TO GENERATE A SEQUENCE OF EVENTS CONSISTING OF K0-ELEMENT EVENTS FROM A FIXED BLOCK OF EVENTS BY V0 UNITS UNION A TRANSLATION OF THE POWER ELEMENT C(L0) INTO C(L0)/|V0| + 2 FOR EACH ONE OF THE BMAX INPUT EVENTS. MOREOVER, GENERATED EVENTS ARE RECORDED IN STAT94.INP FOR FURTHER ANALYSIS. A CUMULATIVE FILE OF GENERATED EVENTS IS RECORDED IN CUMULAT.OUT. ========================================================================= -- L 3172 -- MONITOR MATRIX GENERATOR XXIX FREQUENCY COUNTS FOR A SEQUENCE OF ELEMENTS < 1 , 2, ... , L0 > VS. A SEQUENCE OF STAR EVENTS ( VARIANT OF STAT1015 MEASURING PROPORTIONS OF OCCURRENCES OF EACH ELEMENT L OVER THE LAST Q0 STAR EVENTS VS. OVER ALL IMAX STAR EVENTS ) STAT3172 FILTERS EACH ELEMENT L FROM < 1, 2, ... , L0 > FOR WHICH THE PROPORTION OF OCCURRENCES OF L OVER THE LAST Q0 STAR EVENTS IS .LE. THE PROPORTION OF OCCURRENCES OF L OVER THE LAST IMAX STAR EVENTS. IT READS A SEQUENCE OF IMAX STAR EVENTS ON THE ELEMENTS ON THE ELEMENTS IN T = < 1, 2, ... , L0 > DETERMINES A (0,1) - OCCURRENCE MATRIX FOR EACH OF THE L0 ELEMENTS OF THE SET T, THE RELATIVE FREQUENCY OF EACH ELEMENT IN T, AND DETERMINES A PROJECTED SEQUENCE OF TRANSLATION VECTORS IN PERM.INP, WHICH ARE HIGHLY LIKELY TO OCCUR IN THE NEXT K0-ELEMENT STAR EVENT OF BASE.INP. STAT3172 IS A VARIANT OF STAT933, ANALYZING EACH FIXED ELEMENT OF T, RATHER THAN INTERSECTIONS OF K0-ELEMENT EVENTS VS. THE BASE SET OF STAR EVENTS, BUT FILTERING STAR ELEMENTS, BASED UPON WHETHER OR NOT THE NUMBER OF 0'S SUCCEEDING THE LAST 1 IN THE STAR EVENT INTERSECTION OCCURRENCE SEQUENCE EXCEEDS A DETERMINED THRESHOLD VALUE, M0, BASED UPON STAR EVENT INDEXES. STAT3172 READS UP TO 100 STAR EVENTS IN BASE.INP AND ANALYZES ELEMENTS IN THE RANGE < 1, ... , L0 >, WHERE THE MAXIMUM VALUE OF L0 IS 54. CF. ALSO STAT893, STAT894, STAT899, AND STAT933. VS. THE BASE SET OF STAR EVENTS, BUT FILTERING STAR ELEMENTS, BASED UPON WHETHER OR NOT THE INDEX OF STAR EVENT (IMAX+1-M0) IS CONGRUENT TO 0 (MOD KCT), WHERE M0 IS THE STAR INDEX OF THE FIRST OCCURRING ELEMENT 1 IN THE (0,1) - OCCURRENCE MATRIX AND KCT IS THE NUMBER OF ELAPSED EVENTS PER OCCURRENCE OF A 1 IN THE (0,1) - OCCURRENCE MATRIX FOR EACH OF THE L0 STAR ELEMENTS. M1 IS THE DESIRED THRESHOLD VALUE FOR INDEXES: M1 (MOD KCT). STAT3172 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. STAT3172 IS A VARIANT OF STAT934, BUT UTILIZES A DIFFERENT ALGORITHMIC TECHNIQUE FOR DETERMINING HIGH-PROBABILITY ELEMENTS. SIGNIFICANTLY, STAT3172 GENERATES PERM.OUT AND PERM2.OUT FOR PROCESSING AS PERM.INP IN STAT543, STAT3011, STAT3012, STAT3013, STAT3121. AND STAT3122. A Q0-ELEMENT VECTOR OF TRANSLATION ELEMENTS IS READ FROM PERM.INP AND COMPARED TO D(L) FOR EACH L. IF D(L) .GE. 0 FOR ANY L, THEN L IS APPENDED AS A [*]-QUALIFYING ELEMENT IN PERM.OUT. THE SEQUENCE OF EXPECTED WEIGHTS, D(L), ( , L = 1, ... , L0 ) IS RECORDED IN PERM2.INP FOR FURTHER ANALYSIS, E.G., IN STAT3123 AS PERM2.INP, WHEN RANKING ELEMENTS IN DESCENDING ORDER OF D(L). CF. STAT3062. CF. STAT3152 FOR ANALYSIS OF K0 SEPARATE COLUMNS OF STAR EVENTS. / / STAT3172 IS A VARIANT OF STAT1015. ========================================================================= -- L 3173 -- MONITOR MATRIX GENERATOR XXXXX FREQUENCY COUNTS FOR ELEMENTS IN A LARGE SEQUENCE OF K0-ELEMENT EVENTS ( VARIANT/HYBRID OF STAT2343 AND STAT3172, MEASURING PROPORTIONS OF OCCURRENCES OF PRESCRIBED INTERSECTION CARDINALITIES OVER THE LAST Q0 STAR EVENTS VS. INTERSECTIONS OVER ALL IMAX STAR EVENTS ) X COMPARES A LARGE SET OF K0-ELEMENT BLOCKS WITH A FINITE BASE SET OF ELEMENTS, DETERMINES THE NUMBER OF ELEMENTS IN EACH EVENT PER BMAX-EVENT BLOCK IN VS. THE BASE SET, DETERMINES THE RELATIVE FREQUENCIES AND SUM OF RELATIVE FREQUENCIES OF COMMON ELEMENTS FOR COMPARISON, AND GENERATES A MONITOR MATRIX REFLECTING THE PATTERNS OF MATCHES FROM THE ABOVE SEQUENCE OF BASE SETS. STAT3173 IS A VARIANT STAT1030 AND STAT3149, ANALYZING K0-ELEMENT TEST EVENTS RATHER THAN PERMUTATIONS, WITH EVENTS FILTERED FROM SUB-BLOCKS OF SIZE BMAX. IF THE EXPECTED FREQUENCY CADENCE = 1/K, THEN STAT3173 TACITLY EXAMINES THE LAST K FREQUENCY COUNTS, INSTEAD OF THE LAST JMAX FREQUENCY COUNTS, WHEN SELECTING [*]-QUALIFYING EVENTS TO BE FILTERED, WHERE K IS A DETERMINED FREQUENCY CADENCE FOR 1 / K EVENTS. CF. STAT1031 AND STAT1036 FOR PERMUTATION REPLICAS. STAT3173 READS SUB-BLOCKS OF BMAX INPUT TEST EVENTS FROM STAT3173.INP AND UP TO 600 INPUT STAR EVENTS FROM BASE.INP. [*]-QUALIFYING EVENTS ARE FILTERED AND RECORDED IN STAT94.INP, RANKED IN DESCENDING OR ASCENDING ORDER OF INDEX DISPLACEMENT, IDELTA = # Trailing Zeros. STAT3173 IS THE TEST EVENT VERSION OF STAT2349. CF. STAT2349 FOR THE PERMUTATION VERSION. CF. ALSO STAT2514, STAT2604 , STAT2606, AND STAT3149. STAT3173 IS A VARIANT/HYBRID OF STAT2343 AND STAT3172, COMPARING THE PERCENTAGE OF OCCURRING 1"s OVER THE LAST V0 STAR EVENT INDICES VS. THE PERCENTAGE OF OCCURRING 1"s OVER ALL JMAX STAR EVENT INDICES IN THE (0,1) MATRIX INDICATING THE THE EXISTENCE OF A PRESCRIBED NUMBER OF COMMON ELEMENTS BETWEEN A TEST EVENT AND A STAR EVENT. ========================================================================= -- L 3174 -- MONITOR MATRIX GENERATOR XXXXX FREQUENCY COUNTS FOR ELEMENTS IN A LARGE SEQUENCE OF K0-ELEMENT EVENTS ( VARIANT/HYBRID OF STAT2343 AND STAT3173, MEASURING PROPORTIONS OF OCCURRENCES OF PRESCRIBED INTERSECTION CARDINALITIES OVER THE LAST Q0 STAR EVENTS VS. INTERSECTIONS OVER ALL IMAX STAR EVENTS ) XX COMPARES A LARGE SET OF K0-ELEMENT BLOCKS WITH A FINITE BASE SET OF ELEMENTS, DETERMINES THE NUMBER OF ELEMENTS IN EACH EVENT PER BMAX-EVENT BLOCK IN VS. THE BASE SET, DETERMINES THE RELATIVE FREQUENCIES AND SUM OF RELATIVE FREQUENCIES OF COMMON ELEMENTS FOR COMPARISON, AND GENERATES A MONITOR MATRIX REFLECTING THE PATTERNS OF MATCHES FROM THE ABOVE SEQUENCE OF BASE SETS. STAT3174 IS A VARIANT STAT2343 AND STAT3173, ANALYZING K0-ELEMENT TEST EVENTS RATHER THAN PERMUTATIONS, WITH EVENTS FILTERED FROM SUB-BLOCKS OF SIZE BMAX. IF THE EXPECTED FREQUENCY CADENCE = 1/K, THEN STAT3174 TACITLY EXAMINES THE LAST K FREQUENCY COUNTS, INSTEAD OF THE LAST JMAX FREQUENCY COUNTS, WHEN SELECTING [*]-QUALIFYING EVENTS TO BE FILTERED, WHERE K IS A DETERMINED FREQUENCY CADENCE FOR 1 / K EVENTS. CF. STAT1031 AND STAT1036 FOR PERMUTATION REPLICAS. STAT3174 READS SUB-BLOCKS OF BMAX INPUT TEST EVENTS FROM STAT3174.INP AND UP TO 600 INPUT STAR EVENTS FROM BASE.INP. [*]-QUALIFYING EVENTS ARE FILTERED AND RECORDED IN STAT94.INP, RANKED IN DESCENDING OR ASCENDING ORDER OF INDEX DISPLACEMENT, IDELTA = # 1"s OVER IMAX STAR EVENTS (INDICES FOR TEST EVENTS HAVING 3 UP TO K0 INTERSECTION CARDINALITIES VS. THE COMPLETE SEQUENCE OF IMAX STAR EVENTS). STAT3174 IS A TEST EVENT VERSION OF STAT2349. CF. STAT2349 FOR THE PERMUTATION VERSION. CF. ALSO STAT2514, STAT2604 , STAT2606, AND STAT3149. STAT3174 IS A VARIANT/HYBRID OF STAT2343 AND STAT3172, COMPARING THE PERCENTAGE OF OCCURRING 1"s OVER THE LAST V0 STAR EVENT INDICES VS. THE PERCENTAGE OF OCCURRING 1"s OVER ALL JMAX STAR EVENT INDICES IN THE (0,1) MATRIX INDICATING THE THE EXISTENCE OF A PRESCRIBED NUMBER OF COMMON ELEMENTS BETWEEN A TEST EVENT AND A STAR EVENT. TEST EVENTS IN STAT94.INP ARE LISTED WITH THEIR CORRESPONDING IDELTA VALUES. CF. STAT3173 AND STAT3175. ========================================================================= -- L 3175 -- MONITOR MATRIX GENERATOR XXXXX FREQUENCY COUNTS FOR ELEMENTS IN A LARGE SEQUENCE OF K0-ELEMENT EVENTS ( VARIANT AND EXTENDED VERSION OF STAT3174, MEASURING PROPORTIONS OF OCCURRENCES OF PRESCRIBED INTERSECTION CARDINALITIES OVER THE LAST Q0 STAR EVENTS VS. INTERSECTIONS OVER ALL IMAX STAR EVENTS ) XX COMPARES A LARGE SET OF K0-ELEMENT BLOCKS WITH A FINITE BASE SET OF ELEMENTS, DETERMINES THE NUMBER OF ELEMENTS IN EACH EVENT PER BMAX-EVENT BLOCK IN VS. THE BASE SET, DETERMINES THE RELATIVE FREQUENCIES AND SUM OF RELATIVE FREQUENCIES OF COMMON ELEMENTS FOR COMPARISON, AND GENERATES A MONITOR MATRIX REFLECTING THE PATTERNS OF MATCHES FROM THE ABOVE SEQUENCE OF BASE SETS. STAT3175 IS A VARIANT STAT2343 AND STAT3173, ANALYZING K0-ELEMENT TEST EVENTS RATHER THAN PERMUTATIONS, WITH EVENTS FILTERED FROM SUB-BLOCKS OF SIZE BMAX. IF THE EXPECTED FREQUENCY CADENCE = 1/K, THEN STAT3175 TACITLY EXAMINES THE LAST K FREQUENCY COUNTS, INSTEAD OF THE LAST JMAX FREQUENCY COUNTS, WHEN SELECTING [*]-QUALIFYING EVENTS TO BE FILTERED, WHERE K IS A DETERMINED FREQUENCY CADENCE FOR 1 / K EVENTS. CF. STAT1031 AND STAT1036 FOR PERMUTATION REPLICAS. STAT3175 READS SUB-BLOCKS OF BMAX INPUT TEST EVENTS FROM STAT3175.INP AND UP TO 600 INPUT STAR EVENTS FROM BASE.INP. [*]-QUALIFYING EVENTS ARE FILTERED AND RECORDED IN STAT94.INP, RANKED IN DESCENDING OR ASCENDING ORDER OF INDEX DISPLACEMENT, IDELTA = IJTC - JNUM OVER STAR EVENTS (INDICES FOR TEST EVENTS HAVING 3 UP TO K0 INTERSECTION CARDINALITIES VS. THE COMPLETE SEQUENCE OF IMAX STAR EVENTS). STAT3175 IS A TEST EVENT VERSION OF STAT2349. CF. STAT2349 FOR THE PERMUTATION VERSION. CF. ALSO STAT2514, STAT2604 , STAT2606, AND STAT3149. STAT3175 IS A VARIANT/HYBRID OF STAT2343 AND STAT3172, COMPARING THE PERCENTAGE OF OCCURRING 1"s OVER THE LAST V0 STAR EVENT INDICES VS. THE PERCENTAGE OF OCCURRING 1"s OVER ALL JMAX STAR EVENT INDICES IN THE (0,1) MATRIX INDICATING THE THE EXISTENCE OF A PRESCRIBED NUMBER OF COMMON ELEMENTS BETWEEN A TEST EVENT AND A STAR EVENT. TEST EVENTS IN STAT94.INP ARE LISTED WITH THEIR CORRESPONDING IDELTA VALUES. CF. STAT3173 AND STAT3174. =========================================================================