= = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = COMP-U-STAT = = = = = = = = STATISTICAL PATTERN GENERATOR AND MATHEMATICAL TREND ANALYZER = = = = = = = = (c) Copyright 2017 by J.E. Glover, Ph.D. = = = = All Rights Reserved = = = = = = = = = = = = Part VII(a) ( STAT 2150 ----> STAT 2299 ) = = = = = = = = = = = = 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 2150 ---> 2299 * * * ====================================================================== -- L 2150 -- ( GENERATING HIGH-PROBABILITY SUB-PERMUTATIONS BY SELECTIVELY INTERCHANGING EITHER CONTIGUOUS OR NON-CONTIGUOUS STRINGS OF ELEMENTS BETWEEN LEFT AND RIGHT HALVES OF EACH INPUT PERMUTATION ) XXX STAT2150 READS A SEQUENCE OF PMAX PERMUTATIONS OF VARYING SIZES FROM PERM.INP, CONSISTING OF UNIQUE ELEMENTS, A SEQUENCE OF RMAX PERMUTATION-INDEX STRINGS OF VARYING SIZES FROM PERM2.INP, CONSISTING OF UNIQUE ELEMENTS, AND A SEQUENCE OF IMAX STAR EVENTS FROM BASE.INP. A SEQUENCE OF FOUR HIGH-PROBABILITY SUB-PERMUTATIONS IS GENERATED FROM EACH INPUT PERMUTATION BY SELECTIVELY INTERCHANGING EITHER CONTIGUOUS OR NON-CONTIGUOUS STRINGS OF ELEMENTS BETWEEN LEFT AND RIGHT HALVES OF EACH INPUT PERMUTATION. THIS PROCESS IS CYCLICALLY REPEATED OF ALL PERMS. A SELECTED STAR EVENT OR SEQUENCE OF STAR EVENTS IS INTERSECTED WITH GENERATED PERMUTATIONS 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 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 PERMUTATIONS AND THE DESIRED RANGE OF SUCCESSIVE STAR EVENTS. STAT2150 IS A VARIANT OF STAT2090, TACITLY GENERATING A SEQUENCE OF HIGH-PROBABILITY ELEMENTS IN STAT2150.OUT AND PERM.OUT. HOWEVER, SIZES OF GENERATED PERMUTATIONS ARE RESTRICTED TO ENUM(I). CF. ALSO STAT1019. CONTIGUOUS STRING K0-ELEMENT EVENTS ARE GENERATED IN STAT94.INP FOR THE K0 ELEMENTS FROM THE HEAD AND TAIL OF EACH OUTPUT PERMUTATION. ALL POSSIBLE K0-ELEMENT CONTIGUOUS STRING EVENTS FROM OUTPUT PERMUTATIONS ARE GENERATED IN STAT94.IN2. THE CORRESPONDING M0-ELEMENT SUBSEQUENCE OF EACH PERMUTATION WHICH CONTAINS M0 STAR ELEMENTS IS ALSO GENERATED IN STAT2150.OUT, WHERE M0 > (K0-2). CF. STAT21 FOR GENERATING INPUT PERMUTATIONS. CF. STAT2142 AND STAT2143, E.G., FOR THE GENERATION OF PERM.INP. ===================================================================== -- L 2151 -- ( SELECTING K0-ELEMENT EVENTS FROM SCROLLING SUB-STRINGS OF A FIXED PERMUTATION WITH EVENTS FILTERED VIA SELECTED INDICES (MOD KK) FOR A DESIRED VALUE OF KK ) I READS A SINGLE Q0-ELEMENT PERMUTATION FROM PERM.INP, SELECTS SCROLLING CONTGUOUS SUB-STRINGS OF A DESIRED LENGTH AND GENERATES ALL POSSIBLE ( n C k0 ) k0-ELEMENT EVENTS FROM EACH SUB-STRING 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. STAT2151 IS A VARIANT OF STAT543, BUT EVENTS ARE GENERATED SEQUENTIALLY FROM THE SINGLE INPUT PERMUTATION, RATHER THAN RANDOMLY. CF. STAT64 FOR GENERATION OF PERM.INP. CF. ALSO STAT1401, STAT2142, STAT2147, STAT2148, AND STAT2149. ===================================================================== -- L 2152 -- ( SELECTING K0-ELEMENT EVENTS FROM SCROLLING SUB-STRINGS OF A FIXED PERMUTATION WITH EVENTS FILTERED FROM A SELECTED ( L X K0 ) - DIMENSIONAL WHEEL OF THE SUB-STRING ELEMENTS ) II STAT2152 READS A Q0-ELEMENT, ( CMAX x K0 )-DIMENSIONAL BLOCK (WHEEL) FROM STAT2152.INP AND A SINGLE Q0-ELEMENT PERMUTATION FROM PERM.INP, SELECTING SCROLLING CONTGUOUS SUB-STRINGS OF A DESIRED LENGTH, Q0, GENERATING ALL POSSIBLE ( n C k0 ) k0-ELEMENT EVENTS FROM EACH SUB- STRING 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. STAT2152 IS A VARIANT OF STAT543, BUT EVENTS ARE GENERATED SEQUENTIALLY FROM THE SINGLE INPUT PERMUTATION, RATHER THAN RANDOMLY. CF. STAT64 FOR GENERATION OF PERM.INP. CF. ALSO STAT1401, STAT2142, STAT2147, STAT2148, AND STAT2149. ===================================================================== -- L 2153 -- ( EVEN OR ODD ELEMENT BIAS ) ( FILTERING K0-ELEMENT EVENTS FROM A FIXED BLOCK BASED UPON A CARDINALITY OF EITHER AN EVEN OR ODD ELEMENT BIAS PER EVENT OVER ALL STAR EVENTS ) STAT2153 READS A SEQUENCE OF IMAX K0-ELEMENT STAR EVENTS IN BASE.INP AND FILTERS THOSE EVENTS FROM A DESIRED RANGE OF STAR EVENTS, THE CARDINALITY OF WHOSE EVEN OR ODD ELEMENTS LIE IN A DESIRED RANGE. IT ALSO FILTERS TEST EVENTS FROM STAT2153.INP, THE CARDINALITY OF WHOSE ELEMENTS LIE IN THE SAME SELECTED RANGE. THE CARDINALITY OF EVENS OR ODDS FOR THE FINAL STAR EVENT IS COMPARED WITH THE AVERAGE CARDINALITY OF EVENTS OVER ALL STAR EVENTS AND A BIAS IS DETERMINED WHICH ALLOWS FOR TACIT PREDICTION OF THE CARDINALITY OF EVENS OR ODDS FOR THE NEXT STAR EVENT. THE ROUTINE ALSO PREDICTS THE NEXT SUCCESSFUL STAR EVENT WILL HAVE A CARDINALITY OF EVENS OR ODDS WITHIN THE DESIRED RANGE. STAT2153 IS A VARIANT OF STAT742, PROCESSING CARDINALITIES OF EVENT ELEMENTS, RATHER THAN SUMS OF ELEMENTS OF TEST EVENTS. THE ROUTINE PROCESSES UP TO 1000 INPUT EVENTS AND 1000 STAR EVENTS PER EXECUTION. CF. STAT742 FOR ANALYSIS OF SUM OF ELEMENT BIASES. ===================================================================== -- L 2154 -- ( HIGH OR LOW ELEMENT BIAS ) ( FILTERING K0-ELEMENT EVENTS FROM A FIXED BLOCK BASED UPON A CARDINALITY OF EITHER A HIGH OR LOW ELEMENT BIAS PER EVENT OVER ALL STAR EVENTS ) STAT2154 READS A SEQUENCE OF IMAX K0-ELEMENT STAR EVENTS IN BASE.INP AND FILTERS THOSE EVENTS FROM A DESIRED RANGE OF STAR EVENTS, THE CARDINALITY OF WHOSE HIGH OR LOW ELEMENTS LIE IN A DESIRED RANGE. IT ALSO FILTERS TEST EVENTS FROM STAT2154.INP, THE CARDINALITY OF WHOSE ELEMENTS LIE IN THE SAME SELECTED RANGE. THE CARDINALITY OF HIGHS OR LOWS FOR THE FINAL STAR EVENT IS COMPARED WITH THE AVERAGE CARDINALITY OF EVENTS OVER ALL STAR EVENTS AND A BIAS IS DETERMINED WHICH ALLOWS FOR TACIT PREDICTION OF THE CARDINALITY OF HIGHS OR LOWS FOR THE NEXT STAR EVENT. THE ROUTINE ALSO PREDICTS THE NEXT SUCCESSFUL STAR EVENT WILL HAVE A CARDINALITY OF HIGHS OR LOWS WITHIN THE DESIRED RANGE. STAT2154 IS A VARIANT OF STAT2153, PROCESSING CARDINALITIES OF EVENT ELEMENTS, RATHER THAN SUMS OF ELEMENTS OF TEST EVENTS. THE ROUTINE PROCESSES UP TO 1000 INPUT EVENTS AND 1000 STAR EVENTS PER EXECUTION. CF. STAT742 FOR ANALYSIS OF SUM OF ELEMENT BIASES. CF. STAT2153 FOR ANALYSIS OF EVEN OR ODD BIASES. ===================================================================== -- L 2155 -- ( LOW & EVEN OR LOW & ODD ELEMENT BIAS ) ( FILTERING K0-ELEMENT EVENTS FROM A FIXED BLOCK BASED UPON A CARDINALITY OF EITHER A LOW & EVEN OR LOW & ODD ELEMENT BIAS PER EVENT OVER ALL STAR EVENTS ) STAT2155 READS A SEQUENCE OF IMAX K0-ELEMENT STAR EVENTS IN BASE.INP AND FILTERS THOSE EVENTS FROM A DESIRED RANGE OF STAR EVENTS, THE CARDINALITY OF WHOSE LOW & EVEN OR LOW & ODD ELEMENTS LIE IN A RANGE. IT ALSO FILTERS TEST EVENTS FROM STAT2155.INP, THE CARDINALITY OF WHOSE ELEMENTS LIE IN THE SAME SELECTED RANGE. THE CARDINALITY OF LOW & EVENS OR LOW & ODDS FOR THE FINAL STAR EVENT IS COMPARED WITH THE AVERAGE CARDINALITY OF EVENTS OVER ALL STAR EVENTS AND A BIAS IS DETERMINED WHICH ALLOWS FOR TACIT PREDICTION OF THE CARDINALITY OF LOW & EVENS OR LOW & ODDS FOR THE NEXT STAR EVENT. THE ROUTINE ALSO PREDICTS THE NEXT SUCCESSFUL STAR EVENT WILL HAVE A CARDINALITY OF LOW & EVENS OR LOW & ODDS WITHIN THE DESIRED RANGE. STAT2155 IS A VARIANT OF STAT2153, PROCESSING CARDINALITIES OF EVENT ELEMENTS, RATHER THAN SUMS OF ELEMENTS OF TEST EVENTS. THE ROUTINE PROCESSES UP TO 1000 INPUT EVENTS AND 1000 STAR EVENTS PER EXECUTION. CF. STAT742 FOR ANALYSIS OF SUM OF ELEMENT BIASES. CF. ALSO STAT2154, STAT2156, STAT2157, STAT2158, STAT2159 AND STAT2160. ===================================================================== -- L 2156 -- ( HIGH & EVEN OR HIGH & ODD ELEMENT BIAS ) ( FILTERING K0-ELEMENT EVENTS FROM A FIXED BLOCK BASED UPON A CARDINALITY OF EITHER A HIGH & EVEN OR HIGH & ODD ELEMENT BIAS PER EVENT OVER ALL STAR EVENTS ) STAT2156 READS A SEQUENCE OF IMAX K0-ELEMENT STAR EVENTS IN BASE.INP AND FILTERS THOSE EVENTS FROM A DESIRED RANGE OF STAR EVENTS, THE CARDINALITY OF WHOSE HIGH & EVEN OR HIGH & ODD ELEMENTS LIE IN A RANGE. IT ALSO FILTERS TEST EVENTS FROM STAT2156.INP, THE CARDINALITY OF WHOSE ELEMENTS LIE IN THE SAME SELECTED RANGE. THE CARDINALITY OF HIGH & EVENS OR HIGH & ODDS FOR THE FINAL STAR EVENT IS COMPARED WITH THE AVERAGE CARDINALITY OF EVENTS OVER ALL STAR EVENTS AND A BIAS IS DETERMINED WHICH ALLOWS FOR TACIT PREDICTION OF THE CARDINALITY OF HIGH & EVENS OR HIGH & ODDS FOR THE NEXT STAR EVENT. THE ROUTINE ALSO PREDICTS THE NEXT SUCCESSFUL STAR EVENT WILL HAVE A CARDINALITY OF LOW & EVENS OR HIGH & ODDS WITHIN THE DESIRED RANGE. STAT2156 IS A VARIANT OF STAT2155, PROCESSING CARDINALITIES OF EVENT HIGH & ODD OR HIGH & EVEN , RATHER THAN LOW & ODD OR LOW & EVEN EVENTS. THE ROUTINE PROCESSES UP TO 1000 INPUT EVENTS AND 1000 STAR EVENTS PER EXECUTION. CF. STAT742 FOR ANALYSIS OF SUM OF ELEMENT BIASES. CF. ALSO STAT2154, STAT2156, STAT2157, STAT2158, STAT2159 AND STAT2160. ===================================================================== -- L 2157 -- ( EVEN OR ODD SUM BIAS ) ( FILTERING K0-ELEMENT EVENTS FROM A FIXED BLOCK BASED UPON A CARDINALITY OF EITHER AN EVEN OR ODD SUM BIAS PER EVENT OVER ALL STAR EVENTS ) STAT2157 READS A SEQUENCE OF IMAX K0-ELEMENT STAR EVENTS IN BASE.INP AND FILTERS THOSE EVENTS FROM A DESIRED RANGE OF STAR EVENTS, THE SUM OF WHOSE EVEN OR ODD ELEMENTS LIE IN A DESIRED RANGE. STAT2157 ALSO FILTERS TEST EVENTS FROM STAT2157.INP, THE CARDINALITY OF WHOSE SUMS LIE IN THE SAME SELECTED RANGE. THE CARDINALITY OF EVEN OR ODD SUMS FOR THE FINAL STAR EVENT IS COMPARED WITH THE AVERAGE CARDINALITY OF EVENTS OVER ALL STAR EVENTS AND A BIAS IS DETERMINED WHICH ALLOWS FOR TACIT PREDICTION OF THE CARDINALITY OF EVEN OR ODD SUMS FOR THE NEXT STAR EVENT. THE ROUTINE ALSO PREDICTS THE NEXT SUCCESSFUL STAR EVENT WILL HAVE A CARDINALITY OF EVEN OR ODD SUMS WITHIN THE DESIRED RANGE. STAT2157 IS A VARIANT OF STAT2153, PROCESSING CARDINALITIES OF EVENT SUMS, RATHER THAN ELEMENT CARDINALITIES OF TEST EVENTS. THE ROUTINE PROCESSES UP TO 1000 INPUT EVENTS AND 1000 STAR EVENTS PER EXECUTION. CF. STAT742 FOR ADDITIONAL ANALYSIS OF SUM OF ELEMENT BIASES. ===================================================================== -- L 2158 -- ( HIGH OR LOW SUM BIAS ) ( FILTERING K0-ELEMENT EVENTS FROM A FIXED BLOCK BASED UPON A CARDINALITY OF EITHER A HIGH OR LOW SUM BIAS PER EVENT OVER ALL STAR EVENTS ) STAT2158 READS A SEQUENCE OF IMAX K0-ELEMENT STAR EVENTS IN BASE.INP AND FILTERS THOSE EVENTS FROM A DESIRED RANGE OF STAR EVENTS, THE SUM OF WHOSE HIGH OR LOW ELEMENTS LIE IN A DESIRED RANGE. STAT2158 ALSO FILTERS TEST EVENTS FROM STAT2158.INP, THE CARDINALITY OF WHOSE SUMS LIE IN THE SAME SELECTED RANGE. THE CARDINALITY OF HIGH OR LOW SUMS FOR THE FINAL STAR EVENT IS COMPARED WITH THE AVERAGE CARDINALITY OF EVENTS OVER ALL STAR EVENTS AND A BIAS IS DETERMINED WHICH ALLOWS FOR TACIT PREDICTION OF THE CARDINALITY OF HIGH OR LOW SUMS FOR THE NEXT STAR EVENT. THE ROUTINE ALSO PREDICTS THE NEXT SUCCESSFUL STAR EVENT WILL HAVE A CARDINALITY OF HIGH OR LOW SUMS WITHIN THE DESIRED RANGE. STAT2158 IS A VARIANT OF STAT2157, COMPUTING AND PROCESSING HIGH/LOW SUMS RATHER THAN EVEN/ODD SUMS OF TEST EVENTS. THE ROUTINE PROCESSES UP TO 1000 INPUT EVENTS AND 1000 STAR EVENTS PER EXECUTION. CF. STAT742 FOR ADDITIONAL ANALYSIS OF SUM OF ELEMENT BIASES. ===================================================================== -- L 2159 -- ( LOW/EVEN OR LOW/ODD SUM BIAS ) ( FILTERING K0-ELEMENT EVENTS FROM A FIXED BLOCK BASED UPON A CARDINALITY OF EITHER A LOW/EVEN OR LOW/ODD SUM BIAS PER EVENT OVER ALL STAR EVENTS ) STAT2159 READS A SEQUENCE OF IMAX K0-ELEMENT STAR EVENTS IN BASE.INP AND FILTERS THOSE EVENTS FROM A DESIRED RANGE OF STAR EVENTS, THE SUM OF WHOSE L/E OR L/O ELEMENTS LIE IN A DESIRED RANGE. STAT2159 ALSO FILTERS TEST EVENTS FROM STAT2159.INP, THE CARDINALITY OF WHOSE SUMS LIE IN THE SAME SELECTED RANGE. THE CARDINALITY OF L/E OR L/O SUMS FOR THE FINAL STAR EVENT IS COMPARED WITH THE AVERAGE CARDINALITY OF EVENTS OVER ALL STAR EVENTS AND A BIAS IS DETERMINED WHICH ALLOWS FOR TACIT PREDICTION OF THE CARDINALITY OF L/E OR L/O SUMS FOR THE NEXT STAR EVENT. THE ROUTINE ALSO PREDICTS THE NEXT SUCCESSFUL STAR EVENT WILL HAVE A CARDINALITY OF L/E OR L/O SUMS WITHIN THE DESIRED RANGE. STAT2159 IS A VARIANT OF STAT2158, COMPUTING AND PROCESSING L/E OR L/O SUMS RATHER THAN HIGH/LOW SUMS OF TEST EVENTS. THE ROUTINE PROCESSES UP TO 1000 INPUT EVENTS AND 1000 STAR EVENTS PER EXECUTION. CF. STAT742 FOR ADDITIONAL ANALYSIS OF SUM OF ELEMENT BIASES. CF. ALSO STAT2157 AND STAT2158. ===================================================================== -- L 2160 -- ( HIGH/EVEN OR HIGH/ODD SUM BIAS ) ( FILTERING K0-ELEMENT EVENTS FROM A FIXED BLOCK BASED UPON A CARDINALITY OF EITHER A HIGH/EVEN OR HIGH/ODD SUM BIAS PER EVENT OVER ALL STAR EVENTS ) STAT2160 READS A SEQUENCE OF IMAX K0-ELEMENT STAR EVENTS IN BASE.INP AND FILTERS THOSE EVENTS FROM A DESIRED RANGE OF STAR EVENTS, THE SUM OF WHOSE H/E OR H/O ELEMENTS LIE IN A DESIRED RANGE. STAT2160 ALSO FILTERS TEST EVENTS FROM STAT2160.INP, THE CARDINALITY OF WHOSE SUMS LIE IN THE SAME SELECTED RANGE. THE CARDINALITY OF H/E OR H/O SUMS FOR THE FINAL STAR EVENT IS COMPARED WITH THE AVERAGE CARDINALITY OF EVENTS OVER ALL STAR EVENTS AND A BIAS IS DETERMINED WHICH ALLOWS FOR TACIT PREDICTION OF THE CARDINALITY OF H/E OR H/O SUMS FOR THE NEXT STAR EVENT. THE ROUTINE ALSO PREDICTS THE NEXT SUCCESSFUL STAR EVENT WILL HAVE A CARDINALITY OF H/E OR H/O SUMS WITHIN THE DESIRED RANGE. STAT2160 IS A VARIANT OF STAT2159, COMPUTING AND PROCESSING H/E OR H/O SUMS RATHER THAN L/E OR L/O SUMS OF TEST EVENTS. THE ROUTINE PROCESSES UP TO 1000 INPUT EVENTS AND 1000 STAR EVENTS PER EXECUTION. CF. STAT742 FOR ADDITIONAL ANALYSIS OF SUM OF ELEMENT BIASES. CF. ALSO STAT2157, STAT2158 AND STAT2159. ===================================================================== -- L 2161 -- SKIPS-BETWEEN-HITS VECTOR FOR A GENERALIZED CONDITION VS. A SEQUENCE OF STAR EVENTS STAT2161 READS PMAX PERMUTATIONS OF SIZE IMAX ON { 0,1 } FROM PERM.INP, A SEQUENCE OF IMAX STAR EVENTS FROM BASE.INP, AND THEN DETERMINES A SKIPS-BETWEEN-HITS VECTOR FOR EACH ARRAY OF LENGTH IMAX IN PERM.INP. SUBSEQUENTLY, STAT2161 ALSO DISPLAYS THE (0,1)- OCCURRENCE MATRIX FOR EACH OF THE IMAX ELEMENTS OF THE EACH PERM T, THE RELATIVE FREQUENCY OF EACH ELEMENT IN T. STAT2161 IS A VARIANT OF STAT1032. THIS PROCEDURE ALLOWS FOR THE TESTING OF SOME PROPERTY P. THE TRANSLATION PARAMETER X0 IS SUBTRACTED FROM THE LEFT END- POINT OF THE LAST Q0 FAILURES OF PROPERTY P OVER THE IMAX STAR EVENTS. STAT2161 READS UP TO 100 STAR EVENTS IN BASE.INP. CF. ALSO STAT1032, STAT893, STAT894, STAT899, AND STAT933 AND STAT1033. ===================================================================== -- L 2162 -- ( GENERATING A SEQUENCE OF HIGH-PROBABILITY ELEMENTS FROM PRESCRIBED SUB-STRINGS OF A SEQUENCE OF L0 SKIPS-BETWEEN-HITS VECTORS ) XXX STAT2162 READS A SEQUENCE OF L0 SKIPS-BETWEEN-HITS VECTORS DETERMINED IN STAT2161 AND GENERATES A SEQUENCE OF HIGH-PROBABILITY ELEMENTS, BASED UPON PRESCRIBED INTERSECTIONS. THE PROCESS PROCEEDS CYCLICALLY. A SELECTED STAR EVENT IS INTERSECTED WITH THE GENERATED PERMUTATION OF PERM AND THE OUTCOME IS RECORDED IN STAT2162.OUT. MOREOVER, OUTPUT PERMUTATIONS ARE PRINTED IN THE FILE PERM.OUT FOR FUTURE USE BY OTHER ROUTINES. STAT2162 IS A VARIANT OF STAT2090 AND STAT2162, GENERATING HIGH-PROBABILITY ELEMENTS IN STAT2162.OUT AND PERM.OUT. CF. STAT1032 FOR THE GENERATION OF STAT2162.INP. CF. ALSO STAT2090 AND STAT2161. ===================================================================== -- L 2163 -- ( FILTERING A SUB-SEQUENCE OF ELEMENTS FROM EACH PERMUTATION OF A SEQUENCE FOR WHICH THE INDICES ARE CONGRUENT TO PRESCRIBED SUBSETS OF ELEMENTS (MOD M) ) STAT2163 READS A SEQUENCE PMAX PERMUTATIONS OF VARYING SIZES FROM PERM.INP AND A SEQUENCE OF Q0-ELEMENT INDEX SUBSETS FROM STAT2163.INP AND FILTERS A SUB-SEQUENCE OF ELEMENTS FROM EACH PERMUTATION FOR WHICH THE INDICES ARE CONGRUENT (MOD M) TO SOME ELEMENT OF EACH SUBSET OF STAT2163.INP. THE PROCESS IS CYCLICALLY REPEATED. A SELECTED STAR EVENT IS INTERSECTED WITH THE GENERATED PERMUTATION OF PERM AND THE OUTCOME IS RECORDED IN STAT2163.OUT. MOREOVER, OUTPUT PERMUTATIONS ARE PRINTED IN THE FILE PERM.OUT FOR FUTURE USE BY OTHER ROUTINES. STAT2163 IS A VARIANT OF STAT2162, GENERATING HIGH-PROBABILITY ELEMENTS IN STAT2163.OUT AND PERM.OUT. CF. STAT2162 FOR THE GENERATION OF PERM.INP. CF. ALSO STAT2090. ===================================================================== -- L 2164 -- ( GENERATING HIGH-PROBABILITY SUB-PERMUTATIONS VIA A WELL-DEFINED SKIPS-DUE-BIAS TRACKER OVER BMAX EVENTS ) XXXXII STAT2164 READS A SEQUENCE OF BMAX K0-ELEMENT NDSLH-VECTORS, WHOSE ELEMENTS REPRESENT THE NUMBER OF SKIPS SINCE THE LAST HIT OVER THE LAST BMAX STAR EVENTS (GENERATED VIA STAT190), AND AN L0-ELEMENT VECTOR OF NUMBER OF EVENTS SINCE THE LAST HIT FOR THE SET OF ELEMENTS OVER [ 1,L0 ] IN PERM.INP, AND A SEQUENCE OF IMAX STAR EVENTS FROM BASE.INP. A SEQUENCE OF Q0 HIGH-PROBABILITY SUB-PERMUTATIONS IS GENERATED INPUT SEQUENCE FROM STAT2164.INP, ( WITH, E.G., Q0 in { 5 , 6 , 7 , 8 , 9 , 10 } ), BACKING-UP A DESIRED NUMBER OF EVENTS, IBACK, FROM EVENT # BMAX OF STAT2164.INP. A SELECTED STAR EVENT OR SEQUENCE OF STAR EVENTS IS INTERSECTED WITH GENERATED PERMUTATIONS 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 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 PERMUTATIONS AND THE DESIRED RANGE OF SUCCESSIVE STAR EVENTS. STAT2164 IS A VARIANT OF STAT2150, TACITLY GENERATING A SEQUENCE OF HIGH-PROBABILITY ELEMENTS IN STAT2164.OUT AND PERM.OUT. HOWEVER, SIZES OF GENERATED PERMUTATIONS ARE RESTRICTED TO ENUM(I). CF. ALSO STAT1019. CONTIGUOUS STRING K0-ELEMENT EVENTS ARE GENERATED IN STAT94.INP FOR THE K0 ELEMENTS FROM THE HEAD AND TAIL OF EACH OUTPUT PERMUTATION. ALL POSSIBLE K0-ELEMENT CONTIGUOUS STRING EVENTS FROM OUTPUT PERMUTATIONS ARE GENERATED IN STAT94.IN2. THE CORRESPONDING M0-ELEMENT SUBSEQUENCE OF EACH PERMUTATION WHICH CONTAINS M0 STAR ELEMENTS IS ALSO GENERATED IN STAT2164.OUT, WHERE M0 > (K0-2). CF. STAT21 FOR GENERATING INPUT PERMUTATIONS. CF. STAT190 FOR THE GENERATION OF PERM.INP AS PERM.OUT AND STAT2164.INP IN THE FORM OF STAT1990.INP. ===================================================================== -- L 2165 -- ( FILTERING A HIGH-PROBABILITY SUB-PERMUTATION OF < 1 , ... , L0 > VIA A DESIRED RANGE , [ Q1,Q2 ] , OF NDSLH DUE PER ELEMENT ) XXXXIV STAT2165 READS AN L0-ELEMENT VECTOR OF NUMBER OF EVENTS SINCE THE LAST HIT (NDSLH) FOR THE SET OF ELEMENTS OVER [ 1,L0 ] IN PERM.INP, AND A SEQUENCE OF IMAX STAR EVENTS FROM BASE.INP. A SEQUENCE OF Q0 SUB-PERMUTATION ELEMENTS IS GENERATED FROM THE SEQUENCE IN STAT2165.INP. A SELECTED STAR EVENT OR SEQUENCE OF STAR EVENTS IS INTERSECTED WITH GENERATED PERMUTATIONS 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 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 PERMUTATIONS AND THE DESIRED RANGE OF SUCCESSIVE STAR EVENTS. STAT2165 IS A VARIANT OF STAT2164, TACITLY GENERATING A SEQUENCE OF HIGH-PROBABILITY ELEMENTS IN STAT2165.OUT AND PERM.OUT. A SEQUENCE OF CONTIGUOUS STRING K0-ELEMENT EVENTS ARE SUBSEQUENTLY GENERATED INTO STA004.INP FOR THE K0 ELEMENTS FROM THE HEAD AND TAIL OF EACH OUTPUT PERMUTATION. ALL POSSIBLE K0-ELEMENT CONTIGUOUS STRING EVENTS FROM OUTPUT PERMUTATIONS ARE GENERATED IN STAT94.IN2. CF. STAT190 FOR THE GENERATION OF PERM.INP AS PERM.OUT. ===================================================================== -- L 2166 -- ( FILTERING HIGH-PROBABILITY SUB-PERMUTATIONS OF < 1 , ... , L0 > VIA SELECTED VALUES OF NDSLH IN EACH PERMUTATION FROM A SEQUENCE VS. VALUES OF NDSLH FROM A FIXED PERMUTATION ) XXXXVI STAT2166 READS AN L0-ELEMENT VECTOR OF NUMBER OF EVENTS SINCE THE LAST HIT (NDSLH) FOR THE SET OF ELEMENTS OVER [ 1,L0 ] IN PERM.INP, A SEQUENCE SELECTED VALUES OF NDSLH IN PERMUTATIONS OF PERM2.INP, AND A SEQUENCE OF IMAX STAR EVENTS FROM BASE.INP. A SEQUENCE OF Q0 SUB-PERMUTATIONS IS GENERATED INTO PERM.OUT BASED ON INTERSECTIONS OF PERMUTATIONS FROM PERM.INP VS. THE FIXED PERMUTATION IN PERM.INP. A SELECTED STAR EVENT OR SEQUENCE OF STAR EVENTS IS INTERSECTED WITH GENERATED PERMUTATIONS 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 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 PERMUTATIONS AND THE DESIRED RANGE OF SUCCESSIVE STAR EVENTS. STAT2166 IS A VARIANT OF STAT2165, TACITLY GENERATING A SEQUENCE OF HIGH-PROBABILITY ELEMENTS IN STAT2166.OUT AND PERM.OUT. A SEQUENCE OF CONTIGUOUS STRING K0-ELEMENT EVENTS ARE SUBSEQUENTLY GENERATED INTO STAT94.INP FOR THE K0 ELEMENTS FROM THE HEAD AND TAIL OF EACH OUTPUT PERMUTATION. ALL POSSIBLE K0-ELEMENT CONTIGUOUS STRING EVENTS FROM OUTPUT PERMUTATIONS ARE GENERATED IN STAT94.IN2. CF. STAT190 FOR THE GENERATION OF PERM.INP AS PERM.OUT. ===================================================================== -- L 2167 -- ( GENERATING HIGH-PROBABILITY SUB-PERMUTATIONS FROM A SEQUENCE OF PERMUTATIONS VIA A SEQUENCE OF PAIRS OF LEFT-RIGHT INDEX DISPLACEMENTS ) XXXXXX STAT2167 READS A SEQUENCE OF PMAX PERMUTATIONS FROM PERM.INP , A SEQUENCE OF BMAX 2-ELEMENT LEFT-RIGHT INDEX DISPLACEMENT VECTORS FROM STAT2167.INP, AND IMAX STAR EVENTS FROM BASE.INP. A SEQUENCE OF SUB-PERMUTATIONS IS GENERATED INTO PERM.OUT BASED ON THE INDEX VECTORS FROM STAT2167.INP VS. THE FIXED PERMUTATIONS IN PERM.INP. A SELECTED STAR EVENT OR SEQUENCE OF STAR EVENTS IS INTERSECTED WITH GENERATED PERMUTATIONS 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 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 PERMUTATIONS AND THE DESIRED RANGE OF SUCCESSIVE STAR EVENTS. STAT2167 IS A VARIANT OF STAT2166, TACITLY GENERATING A SEQUENCE OF HIGH-PROBABILITY ELEMENTS IN STAT2167.OUT AND PERM.OUT. A SEQUENCE OF CONTIGUOUS STRING K0-ELEMENT EVENTS ARE SUBSEQUENTLY GENERATED INTO STAT94.INP FOR THE K0 ELEMENTS FROM THE HEAD AND TAIL OF EACH OUTPUT PERMUTATION. ALL POSSIBLE K0-ELEMENT CONTIGUOUS STRING EVENTS FROM OUTPUT PERMUTATIONS ARE GENERATED IN STAT94.IN2. CF. STAT2166 FOR THE GENERATION OF PERM.INP AS PERM.OUT. ===================================================================== -- L 2168 -- ( TRANSLATION OF SELECTED ELEMENTS OF EACH PERMUTATION OF A FIXED SEQUENCE VIA A GIVEN SEQUENCE OF TRANSLATION PERMUTATIONS ) XXXXXXII STAT2168 READS A SEQUENCE OF PMAX Q0-ELEMENT PERMUTATIONS IN PERM.INP, A CORRESPONDING SEQUENCE OF QMAX Q0-ELEMENT TRANSLATION PERMUTATIONS FROM PERM2.INP, AND A SEQUENCE OF IMAX STAR EVENTS FROM BASE.INP. THE TRANSLATION PERMUTATIONS OF PERM2.INP ARE UTILIZED TO TRANSLATE SELECTED ELEMENTS OF THE PERMUTATIONS OF PERM.INP. EACH OF THE PMAX*QMAX OUTPUT PERMUTATIONS IS ADJUSTED SO AS TO HAVE Q0 UNIQUE ELEMENTS, AS THIS PROCESS IS CYCLICALLY REPEATED OVER PERM.INP. A SELECTED STAR EVENT OR SEQUENCE OF STAR EVENTS IS INTERSECTED WITH GENERATED PERMUTATIONS 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 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 PERMUTATIONS AND THE DESIRED RANGE OF SUCCESSIVE STAR EVENTS. STAT2168 IS A VARIANT OF STAT2164, TACITLY GENERATING A SEQUENCE OF HIGH-PROBABILITY ELEMENTS IN STAT2168.OUT AND PERM.OUT. A SET OF SCROLLING HIGH-PROBABILITY K0-ELEMENT EVENTS IS GENERATED INTO STAT94.INP FROM EACH PERMUTATION GENERATED IN PERM.INP BY SELECTING ALTERNATING ELEMENT-STRINGS. CF. STAT894, E.G., FOR THE GENERATION OF PERM.INP AS PERM.OUT. ===================================================================== -- L 2169 -- ( GENERATION OF HIGH-PROBABILITY K0-ELEMENT EVENTS FROM ALTERNATING ELEMENTS OF SCROLLING STRINGS OF ELEMENTS OF EACH PERMUTATION IN A FIXED BLOCK ) XXXXXX STAT2169 READS A SEQUENCE OF PMAX PERMUTATIONS OF VARIABLE SIZES FROM PERM.INP, AND A SEQUENCE OF IMAX K0-ELEMENT STAR EVENTS FROM BASE.INP. K0-ELEMENT EVENTS ARE GENERATED FROM EACH INPUT PERMUTATION BY SELECTING ALTERNATING ELEMENTS OF SCROLLING STRINGS OF ELEMENTS OF EACH INPUT PERMUTATION SEQUENCE. THE PROCESS IS CYCLICALLY REPEATED. A SELECTED STAR EVENT OR SEQUENCE OF STAR EVENTS IS THEN INTERSECTED WITH EACH TEST EVENT GENERATED FROM THE ABOVE CYCLICAL PROCESS. THE ROUTINE FLAGS THE ELEMENTS OF A DESIRED RANGE OF STAR EVENTS AS THEY OCCUR AMONG THE ELEMENTS OF EACH TEST EVENT. MOREOVER, OUTPUT TEST EVENTS ARE PRINTED IN THE FILE STAT94.INP FOR FUTURE USE BY OTHER ROUTINES. MOREOVER, THE NUMBER AND PERCENTAGE OF 0's , 1's, 2's, 3's, 4's, ... , K0's ARE COMPUTED AS DETERMINED CARDINALITIES OF INTERSECTION NUMBERS BETWEEN TEST EVENTS AND EACH EVENT IN THE RANGE OF SELECTED STAR EVENTS. A CONFIGURATION MATRIX IS GENERATED WHICH INDICATES THE ELEMENTS IN COMMON BETWEEN PERMUTATIONS AND THE DESIRED RANGE OF SUCCESSIVE STAR EVENTS. THE ROUTINE ALSO PREDICTS THE NEXT SUCCESSFUL INTERSECTION INDEX BETWEEN A STAR EVENT AND THE GENERATED BLOCK OF TEST EVENTS. STAT2169 IS A VARIANT OF STAT1640, TACITLY GENERATING A SEQUENCE OF HIGH-PROBABILITY TEST EVENTS IN STAT2169.OUT AND STAT94.INP. GENERATED EVENTS ARE FILTERED BY SELECTING ONLY THOSE TEST EVENTS FROM THE SEQUENCE WITH INDICES WHICH ARE CONGRUENT TO AN ELEMENT OF A DESIRED INTEGRAL VECTOR SELECTED BY THE ANALYST, I.E., < M1, M2, M3, M4, ... , M10 > ( MOD T) , FOR SOME DESIRED INTEGER T AND SOME DESIRED SEQUENCE OF POSITIVE INTEGERS : M1, M2, M3, M4, M5, M6,M7, M8, M9, AND M10 (NOT NECESSARILY DISTINCT). CF. ALSO STAT1636. ===================================================================== -- L 2170 -- ( FILTERING A PRESCRIBED NUMBER OF EVENTS FROM A LARGE SEQUENCE BY SELECTING MINIMAL AND MAXIMUM MODULUS ELEMENTS FROM TWO DESIRED PIVOTAL COLUMNS PER EVENT ) STAT2170 READS A LARGE BLOCK OF K0-ELEMENT TEST EVENTS FROM STAT2170.INP AND A SEQUENCE OF IMAX K0-ELEMENT STAR EVENTS FROM BASE.INP. K0-ELEMENT EVENTS OF A DESIRED BLOCK-SIZE ARE FILTERD FROM STAT2170.INP BY SELECTING MINIMAL AND MAXIMAL MODULI ELEMENTS DESIRED IN TWO PIVOTAL COLUMNS PER EVENT. THIS PROCESS IS CYCLICAL. 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. STAT2170 IS A VARIANT OF STAT1654, TACITLY GENERATING A SEQUENCE OF HIGH-PROBABILITY TEST EVENTS IN STAT2170.OUT AND STAT94.INP. CF. STAT1649. CF. STAT1641 FOR GENERATING STAT2170.INP IN THE FORM OF STAT94.INP. CF. ALSO STAT1323, STAT1505, STAT1506, STAT1511, STAT1618, STAT1631, STAT450, STAT453, STAT1004, STAT638, STAT639, STAT695, STAT583, STAT584, STAT585, STAT586, STAT589, AND STAT590. ===================================================================== -- L 2171 -- ( GENERATING A SEQUENCE OF TRANSPOSED VECTORS FROM A FIXED SEQUENCE ) STAT2171 READS A SEQUENCE OF BMAX K0-ELEMENT VECTORS WITH SIGNED COMPONENETS FROM STAT2171.INP AND A SEQUENCE OF TRANSPOSITIONS FROM STAT2171.IN2. EACH TRANSPOSITION IS UTILIZED TO TRANSPOSE ELEMENTS IN CORRESPONDING COLUMNS OF EACH VECTOR OF STAT2171.INP. THIS PROCESS IS CYCLICALLY REPEATED UNTIL ALL VECTORS ARE TRANSPOSED BY ALL TRANSPOSITIONS. TRANSPOSED VECTORS ARE RECORDED IN STAT2064.IN2. ===================================================================== -- L 2172 -- ( TRANSFORMS EACH K0-ELEMENT EVENT ( D(J),J=1,...,K0 ) OF A SEQUENCE INTO AN EVENT WITH K0 NON-REPEATING ELEMENTS ) STAT2172 READS A FIXED BLOCK OF BMAX K0-ELEMENT TEST EVENTS FROM STAT2172.INP AND A SEQUENCE OF IMAX K0-ELEMENT STAR EVENTS FROM BASE.INP. EACH K0-ELEMENT EVENT ( D(J),J=1,...,K0)) FROM STAT2172.INP IS TRANSFORMED INTO AN EVENT WITH UNIQUE, NON-REPEATING ELEMENTS. TRANSFORMED EVENTS FROM STAT2172.INP ARE INTERSECTED WITH EACH EVENT IN THE SEQUENCE OF STAR EVENTS READ FROM FILE BASE.INP. THE ROUTINE FLAGS THE ELEMENTS OF A DESIRED RANGE OF STAR EVENTS AS THEY OCCUR AMONG THE ELEMENTS OF EACH TEST EVENT. MOREOVER, OUTPUT TEST EVENTS ARE PRINTED IN THE FILE STAT94.INP FOR FUTURE USE BY OTHER ROUTINES. MOREOVER, THE NUMBER AND PERCENTAGE OF 0's , 1's, 2's, 3's, 4's, ... , K0's ARE COMPUTED AS DETERMINED CARDINALITIES OF INTERSECTION NUMBERS BETWEEN TEST EVENTS AND EACH EVENT IN THE RANGE OF SELECTED STAR EVENTS. A CONFIGURATION MATRIX IS GENERATED WHICH INDICATES THE ELEMENTS IN COMMON BETWEEN PERMUTATIONS AND THE DESIRED RANGE OF SUCCESSIVE STAR EVENTS. THE ROUTINE ALSO PREDICTS THE NEXT SUCCESSFUL INTERSECTION INDEX BETWEEN A STAR EVENT AND THE GENERATED BLOCK OF TEST EVENTS. STAT2172 IS A VARIANT OF STAT1006, GENERATING A FIXED SEQUENCE OF HIGH-PROBABILITY TEST EVENTS IN STAT2172.OUT AND STAT94.INP. SEE ALSO STAT805. ===================================================================== -- L 2173 -- ( FILTERING A PRESCRIBED NUMBER OF EVENTS FROM A LARGE SEQUENCE BY SELECTING MINIMAL AND MAXIMUM MODULUS ELEMENTS FROM TWO DESIRED PIVOTAL COLUMNS PER EVENT ) STAT2173 READS A LARGE BLOCK OF K0-ELEMENT TEST EVENTS FROM STAT2173.INP, A SEQUENCE OF CMAX K0-ELEMENT TRANSLATION EVENTS FROM STAT2173.IN2, AND A SEQUENCE OF IMAX K0-ELEMENT STAR EVENTS FROM BASE.INP. K0-ELEMENT EVENTS OF A DESIRED BLOCK-SIZE ARE FILTERED FROM STAT2173.INP BY SELECTING MINIMAL AND MAXIMAL MODULI ELEMENTS DESIRED IN TWO PIVOTAL COLUMNS PER EVENT. THIS PROCESS IS CYCLICAL. 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. STAT2173 IS A VARIANT OF STAT2170, TACITLY GENERATING A SEQUENCE OF HIGH-PROBABILITY TEST EVENTS IN STAT2173.OUT AND STAT94.INP. HOWEVER, COLUMN ELEMENT MODULI ARE ENTERED IN REAL TIME BY THE ANALYST, RATHER THAN BEING READ FROM AN INPUT FILE, AS IN STAT2170. CF. STAT1649. CF. STAT1641 FOR GENERATING STAT2173.INP IN THE FORM OF STAT94.INP. CF. ALSO STAT1323, STAT1505, STAT1506, STAT1511, STAT1618, STAT1631, STAT450, STAT453, STAT1004, STAT638, STAT639, STAT695, STAT583, STAT584, STAT585, STAT586, STAT589, AND STAT590. ===================================================================== -- L 2174 -- ( TRANSLATION OF SELECTED ELEMENTS OF EACH PERMUTATION OF A FIXED SEQUENCE VIA A GIVEN SEQUENCE OF { 0,1 }-INDEX PERMUTATIONS ) XXXXXXIX STAT2174 READS A SEQUENCE OF PMAX Q0-ELEMENT PERMUTATIONS IN PERM.INP, A CORRESPONDING SEQUENCE OF QMAX Q0-{ 0,1 }-INDEX PERMUTATIONS FROM PERM2.INP, AND A SEQUENCE OF IMAX STAR EVENTS FROM BASE.INP. THE INDEX PERMUTATIONS OF PERM2.INP ARE UTILIZED TO SELECT DESIRED ELEMENTS FROM EACH ONE OF THE PERMUTATIONS OF PERM.INP. EACH OF THE PMAX*QMAX OUTPUT PERMUTATIONS IS ADJUSTED SO AS TO HAVE Q0 UNIQUE ELEMENTS, AS THIS PROCESS IS CYCLICALLY REPEATED OVER PERM.INP. A SELECTED STAR EVENT OR SEQUENCE OF STAR EVENTS IS INTERSECTED WITH GENERATED PERMUTATIONS 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 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 PERMUTATIONS AND THE DESIRED RANGE OF SUCCESSIVE STAR EVENTS. STAT2174 IS A VARIANT OF STAT2168, TACITLY GENERATING A SEQUENCE OF HIGH-PROBABILITY ELEMENTS IN STAT2174.OUT AND PERM.OUT. A SET OF SCROLLING HIGH-PROBABILITY K0-ELEMENT EVENTS IS GENERATED INTO STAT94.INP FROM EACH PERMUTATION GENERATED IN PERM.INP BY SELECTING ALTERNATING ELEMENT-STRINGS. CF. STAT2164, E.G., FOR THE GENERATION OF PERM.INP AS PERM.OUT. ===================================================================== -- L 2175 -- ( FILTERING A PRESCRIBED NUMBER OF EVENTS FROM A LARGE SEQUENCE BY SELECTING EVENTS AS [*]-QUALIFIED IF THE NUMBER OF EVEN ELEMENTS LIES WITHIN IN A PRESCRIBED INTERVAL , [ N1,N2 ] , AND THE NUMBER OF HIGH ELEMENTS LIES WITHIN A PRESCRIBED INTERVAL , [ N3,N4 ] ) III STAT2175 READS A LARGE BLOCK OF K0-ELEMENT TEST EVENTS FROM STAT2175.INP, A SEQUENCE OF CMAX K0-ELEMENT TRANSLATION EVENTS FROM STAT2175.IN2, AND A SEQUENCE OF IMAX K0-ELEMENT STAR EVENTS FROM BASE.INP. K0-ELEMENT EVENTS OF A DESIRED BLOCK-SIZE ARE FILTERED FROM STAT2175.INP BY SELECTING EVENTS AS [*]-QUALIFIED IF THE NUMBER OF EVEN ELEMENTS LIES WITHIN A PRESCRIBED INTERVAL, [ N1,N2 ] AND THE NUMBER OF HIGH ELEMENTS LIES WITHIN A PRESCRIBED INTERVAL, [ N3,N4 ]. 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. STAT2175 IS A VARIANT OF STAT2170, TACITLY GENERATING A SEQUENCE OF HIGH-PROBABILITY TEST EVENTS IN STAT2175.OUT AND STAT94.INP. CF. STAT1649. CF. STAT1641 FOR GENERATING STAT2175.INP IN THE FORM OF STAT94.INP. CF. ALSO STAT1323, STAT1505, STAT1506, STAT1511, STAT1618, STAT1631, STAT450, STAT453, STAT1004, STAT638, STAT639, STAT695, STAT583, STAT584, STAT585, STAT586, STAT589, AND STAT590. ===================================================================== -- L 2176 -- ( FILTERING A PRESCRIBED NUMBER OF EVENTS FROM A LARGE SEQUENCE BY SELECTING AN EVENT AS [*]-QUALIFIED IF THE SUM OF ITS ELEMENTS SATISFIES ONE OF THE SELECTED CRITERIA : 1) HIGH AND EVEN ; 2) HIGH AND ODD ; 3) LOW AND EVEN ; 4) LOW AND ODD ) IV STAT2176 READS A LARGE BLOCK OF K0-ELEMENT TEST EVENTS FROM STAT2176.INP, A SEQUENCE OF CMAX K0-ELEMENT TRANSLATION EVENTS FROM STAT2176.IN2, AND A SEQUENCE OF IMAX K0-ELEMENT STAR EVENTS FROM BASE.INP. K0-ELEMENT EVENTS OF A DESIRED BLOCK-SIZE ARE FILTERED FROM STAT2176.INP BY SELECTING AN EVENT AS [*]-QUALIFIED IF SUM OF ITS ELEMENTS IS EITHER : 1) HIGH AND EVEN ; 2) HIGH AND ODD ; 3) LOW AND EVEN ; OR 4) LOW AND ODD , AS DESIRED BY THE ANALYST. 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. STAT2176 IS A VARIANT OF STAT2175, TACITLY GENERATING A SEQUENCE OF HIGH-PROBABILITY TEST EVENTS IN STAT2176.OUT AND STAT94.INP. CF. STAT1649. CF. STAT1641 FOR GENERATING STAT2176.INP IN THE FORM OF STAT94.INP. CF. ALSO STAT1323, STAT1505, STAT1506, STAT1511, STAT1618, STAT1631, STAT450, STAT453, STAT1004, STAT638, STAT639, STAT695, STAT583, STAT584, STAT585, STAT586, STAT589, AND STAT590. ===================================================================== -- L 2177 -- ( SELECTING SUB-STRINGS OF A PRESCRIBED LENGTH FROM THE HEAD AND TAIL OF EACH PERMUTATION OF A FIXED SEQUENCE AND SELECTING SUB-SEQUENCES FROM THE SUB-STRINGS OF EACH RESULTING VIA A GIVEN SEQUENCE OF { 0,1 }-INDEX PERMUTATIONS ) XXXXXXXXX STAT2177 READS A SEQUENCE OF PMAX Q0-ELEMENT PERMUTATIONS IN PERM.INP, A CORRESPONDING SEQUENCE OF QMAX Q0-{ 0,1 }-INDEX PERMUTATIONS FROM PERM2.INP, AND A SEQUENCE OF IMAX STAR EVENTS FROM BASE.INP. SUB-STRINGS OF A PRESCRIBED LENGTH ARE SELECTED FROM THE HEAD AND TAIL OF EACH PERMUTATION OF PERM.INP, WHERE INDICES ARE PRE-SELECTED. THE INDEX PERMUTATIONS OF PERM2.INP ARE UTILIZED TO SELECT DESIRED ELEMENTS FROM EACH ONE OF THE SELECTED SUB-STRINGS. EACH OF THE 2*PMAX*QMAX OUTPUT PERMUTATIONS IS ADJUSTED SO AS TO HAVE Q0 UNIQUE ELEMENTS , AS THIS PROCESS IS CYCLICALLY REPEATED OVER PERM.INP. A SELECTED STAR EVENT OR SEQUENCE OF STAR EVENTS IS INTERSECTED WITH GENERATED PERMUTATIONS 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 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 PERMUTATIONS AND THE DESIRED RANGE OF SUCCESSIVE STAR EVENTS. STAT2177 IS A VARIANT OF STAT2174, TACITLY GENERATING A SEQUENCE OF HIGH-PROBABILITY ELEMENTS IN STAT2177.OUT AND PERM.OUT. A SET OF SCROLLING HIGH-PROBABILITY K0-ELEMENT EVENTS IS GENERATED INTO STAT94.INP FROM EACH PERMUTATION GENERATED IN PERM.INP BY SELECTING ALTERNATING ELEMENT-STRINGS. CF. STAT2164, E.G., FOR THE GENERATION OF PERM.INP AS PERM.OUT. CF. ALSO STAT2174. ===================================================================== -- L 2178 -- ( SELECTING SUB-STRINGS OF A PRESCRIBED LENGTH , V1 , OVER THE INDEX RANGE [ V0 , V0+V1-1 ] , FROM EACH PERMUTATION OF A FIXED SEQUENCE ) XXXXXXXXXI STAT2178 READS A SEQUENCE OF PMAX Q0-ELEMENT PERMUTATIONS IN PERM.INP AND A SEQUENCE OF IMAX STAR EVENTS FROM BASE.INP. SUB-STRINGS OF A PRESCRIBED LENGTH, V1 , OVER THE INDEX RANGE [ V0,V0+V1-1 ] , ARE SELECTED FROM EACH INPUT PERMUTATION OF PERM.INP. EACH ONE OF THE PMAX OUTPUT PERMUTATIONS IS ADJUSTED SO AS TO HAVE Q0 UNIQUE ELEMENTS , AS THIS PROCESS IS CYCLICALLY REPEATED OVER PERM.INP. A SELECTED STAR EVENT OR SEQUENCE OF STAR EVENTS IS INTERSECTED WITH GENERATED PERMUTATIONS 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 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 PERMUTATIONS AND THE DESIRED RANGE OF SUCCESSIVE STAR EVENTS. STAT2178 IS A VARIANT OF STAT2177, TACITLY GENERATING A SEQUENCE OF HIGH-PROBABILITY ELEMENTS IN STAT2178.OUT AND PERM.OUT. A SET OF SCROLLING HIGH-PROBABILITY K0-ELEMENT EVENTS IS GENERATED INTO STAT94.INP FROM EACH PERMUTATION GENERATED IN PERM.INP BY SELECTING ALTERNATING ELEMENT-STRINGS. CF. STAT2164, E.G., FOR THE GENERATION OF PERM.INP AS PERM.OUT. CF. ALSO STAT2174 AND STAT2177. ===================================================================== -- L 2179 -- ( GENERATION OF SUB-PERMUTATIONS FROM ADJACENT OR BIPARTITE PAIRS OF PERMUTATIONS BY SELECTING ALTERNATING DIAGONAL PAIRS OF ELEMENTS BASED UPON PRESCRIBED INDEX CUT-POINTS ) XXXXXXXXXII STAT2179 READS A SEQUENCE OF PMAX Q0-ELEMENT PERMUTATIONS IN PERM.INP A SEQUENCE OF 2-ELEMENT INITIAL AND FINAL CUT-POINTS IN STAT2179.INP, AND A SEQUENCE OF IMAX STAR EVENTS FROM BASE.INP. SUB-STRINGS OF A PRESCRIBED LENGTH, V1 , ARE GENERATED FROM ADJACENT OR BIPARTITE PAIRS OF PERMUTATIONS BY SELECTING ALTERNATING DIAGONAL PAIRS OF ELEMENTS BASED UPON PRESCRIBED INDEX CUT-POINTS READ FROM STAT2179.INP. EACH GENERATED PERMUTATION IS ADJUSTED SO AS TO HAVE Q0 UNIQUE ELEMENTS, AS THIS PROCESS IS CYCLICALLY REPEATED OVER PERM.INP. MOREOVER, A SELECTED STAR EVENT OR SEQUENCE OF STAR EVENTS IS INTERSECTED WITH GENERATED PERMUTATIONS 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 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 PERMUTATIONS AND THE DESIRED RANGE OF SUCCESSIVE STAR EVENTS. STAT2179 IS A VARIANT OF STAT2177, TACITLY GENERATING A SEQUENCE OF HIGH-PROBABILITY ELEMENTS IN STAT2179.OUT AND PERM.OUT. A SET OF SCROLLING HIGH-PROBABILITY K0-ELEMENT EVENTS IS GENERATED INTO STAT94.INP FROM EACH PERMUTATION GENERATED IN PERM.INP BY SELECTING ALTERNATING ELEMENT-STRINGS. CF. STAT2164, E.G., FOR THE GENERATION OF PERM.INP AS PERM.OUT. CF. ALSO STAT2174 AND STAT2177. ===================================================================== -- L 2180 -- ( GENERATION OF SUB-PERMUTATIONS FROM SCROLLING (K1 x J1)-DIMENSIONAL SUB-BLOCKS OF AN INPUT SEQUENCE OF K0-ELEMENT EVENTS BASED UPON PRESCRIBED DIMENSIONS ) XXXXXXXXXIV STAT2180 READS A SEQUENCE OF BMAX K0-ELEMENT EVENTS FROM STAT2180.INP AND A SEQUENCE OF IMAX STAR EVENTS FROM BASE.INP. SUB-PERMUTATIONS ARE GENERATED FROM SCROLLING (K1 x J1)-DIMENSIONAL BLOCKS OF STAT2180.INP BY SELECTING ELEMENTS SUCCESSIVELY UNTIL ALL K1 x J1 ELEMENTS ARE SELECTED PER SUB-BLOCK. THE PROCESS IS CYCLICAL. EACH GENERATED PERMUTATION IS ADJUSTED SO AS TO HAVE Q0 UNIQUE ELEMENTS. A SELECTED STAR EVENT OR SEQUENCE OF STAR EVENTS IS INTERSECTED WITH GENERATED PERMUTATIONS 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 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 PERMUTATIONS AND THE DESIRED RANGE OF SUCCESSIVE STAR EVENTS. STAT2180 IS A VARIANT OF STAT2177, TACITLY GENERATING A SEQUENCE OF HIGH-PROBABILITY ELEMENTS IN STAT2180.OUT AND PERM.OUT. A SET OF SCROLLING HIGH-PROBABILITY K0-ELEMENT EVENTS IS GENERATED INTO STAT94.INP FROM EACH PERMUTATION GENERATED IN PERM.INP BY SELECTING ALTERNATING ELEMENT-STRINGS. CF. STAT2164, E.G., FOR THE GENERATION OF PERM.INP AS PERM.OUT. CF. ALSO STAT2174 AND STAT2177. ===================================================================== -- L 2181 -- ( GENERATION OF TRANSLATED PERMUTATIONS FROM A FIXED SEQUENCE BY SELECTING SCROLLING CUT-POINTS AND ADDING TRANSLATIONS C(M,1) TO THE LEFT HALF AND C(M,2) TO THE RIGHT HALF OF RESULTING PERMUTATIONS ) XXXXXXXXXV STAT2181 READS A SEQUENCE OF PMAX Q0-ELEMENT PERMUTATIONS IN PERM.INP A SEQUENCE OF 2-ELEMENT LEFT AND RIGHT TRANSLATION CONSTANTS IN STAT2181.INP, AND IMAX STAR EVENTS FROM BASE.INP. INPUT PERMUTATONS ARE GENERATED BY SELECTING SCROLLING CUT-POINTS FROM EACH PERMUTATION AND ADDING TRANSLATIONS C(M,1) TO THE LEFT HALF AND C(M,2) TO THE RIGHT HALF OF RESULTING PERMUTATIONS IN A CYCLICAL FASHION. EACH GENERATED PERMUTATION IS ADJUSTED SO AS TO HAVE Q0 UNIQUE ELEMENTS, AS THIS PROCESS IS CYCLICALLY REPEATED OVER PERM.INP. MOREOVER, A SELECTED STAR EVENT OR SEQUENCE OF STAR EVENTS IS INTERSECTED WITH GENERATED PERMUTATIONS 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 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 PERMUTATIONS AND THE DESIRED RANGE OF SUCCESSIVE STAR EVENTS. STAT2181 IS A VARIANT OF STAT2177, TACITLY GENERATING A SEQUENCE OF HIGH-PROBABILITY ELEMENTS IN STAT2181.OUT AND PERM.OUT. A SET OF SCROLLING HIGH-PROBABILITY K0-ELEMENT EVENTS IS GENERATED INTO STAT94.INP FROM EACH PERMUTATION GENERATED IN PERM.INP BY SELECTING ALTERNATING ELEMENT-STRINGS. CF. STAT2164, E.G., FOR THE GENERATION OF PERM.INP AS PERM.OUT. CF. ALSO STAT934 FOR THE GENERATION OF PERM.INP AS PERM.OUT. ===================================================================== -- L 2182 -- MONITOR MATRIX GENERATOR XXXXXX FREQUENCY COUNTS FOR ELEMENTS IN A LARGE SEQUENCE OF Q0-ELEMENT PERMUTATIONS ( VERSION IV ) COMPARES A LARGE BLOCK OF Q0-ELEMENT PERMUTATIONS WITH A FINITE BASE SET OF STAR EVENTS, DETERMINES THE NUMBER OF ELEMENTS IN EACH BLOCK IN COMMON WITH EACH BASE SET, DETERMINES THE RELATIVE FREQUENCIES AND SUM OF RELATIVE FREQUENCIES OF COMMON ELEMENTS FOR FURTHER COMPARISON, AND GENERATES A MONITOR MATRIX REFLECTING THE PATTERNS OF MATCHES FROM THE ABOVE SEQUENCE OF STAR EVENT BASE SETS. THE Q0-ELEMENT PERMUTATIONS ARE RANKED AND PRINTED IN DESCENDING ORDER OF INTERSECTION PERFORMANCE IN PERM.OUT. STAT2182 IS A VARIANT OF STAT2 AND STAT1030, ANALYZING Q0-ELEMENT PERMUTATIONS , RATHER THAN TEST EVENTS, WITH EVENTS FILTERED MORE JUDICIOUSLY E.G., IF THE EXPECTED FREQUENCY CADENCE = 1/K . STAT2182 EXAMINES THE LAST K FREQUENCY COUNTS, INSTEAD OF THE LAST W*K FREQUENCY COUNTS, WHEN QUALIFYING EVENTS TO BE FILTERED, WHERE W IS A DESIRED REAL VALUE SELECTED BY THE ANALYST. CF. STAT1031 AND STAT1036 FOR PERMUTATION REPLICAS OF STAT2182. STAT2182 BLOCKS OF 50 INPUT PERMUTATIONS FROM STAT2182.INP AND UP TO 100 INPUT STAR EVENTS FROM BASE.INP. STAT2182 IS THE PERMUTATION VERSION OF STAT1030. ===================================================================== -- L 2183 -- 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.OUT, WHICH ARE HIGHLY LIKELY TO OCCUR IN THE NEXT K0-ELEMENT STAR EVENT OF BASE.INP. STAT2183 IS A REPLICA OF STAT934, 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 INDEX OF STAR EVENT (IMAX+1-M0) IS CONGRUENT TO M1 (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 IN BASE.INP. NUMBER OF ELAPSED EVENTS PER OCCURRENCE OF ELEMENT L, AND M1 IS THE DESIRED THRESHOLD VALUE FOR INDEXES: M1 (MOD KCT). STAT2183 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). STAT2183 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. ===================================================================== -- L 2184 -- MONITOR MATRIX GENERATOR XXXXXI FREQUENCY COUNTS FOR ELEMENTS IN A LARGE SEQUENCE OF K0-ELEMENT EVENTS ( VERSION 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 50-EVENT BLOCK IN COMMON WITH 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. K0-ELEMENT EVENTS ARE RANKED AND PRINTED IN DESCENDING ORDER OF INTERSECTION PERFORMANCE IN SET1.OUT. STAT2184 IS A REPLICA OF STAT1030, STAT2, STAT894 AND STAT1187, ANALYZING K0-ELEMENT TEST EVENTS, RATHER THAN PERMUTATIONS, WITH EVENTS FILTERED MORE JUDICIOUSLY. E.G., IF THE EXPECTED FREQUENCY CADENCE = 1/K, THEN STAT2184 EXAMINES THE LAST K FREQUENCY COUNTS, INSTEAD OF THE LAST W*K FREQUENCY COUNTS, WHEN QUALIFYING EVENTS TO BE FILTERED, WHERE W IS A DESIRED REAL VALUE SELECTED BY THE ANALYST. CF. STAT1031 AND STAT1036 FOR PERMUTATION REPLICAS OF STAT2184. STAT2184 READS UP TO 50 INPUT TEST EVENTS FROM STAT2184.INP AND UP TO 100 INPUT STAR EVENTS FROM BASE.INP. CF. STAT2182 FOR THE PERMUTATION VERSION OF STAT2184. ===================================================================== -- L 2185 -- ( PREDICTING FUTURE INTERSECTIONS FOR A CYCLIC BLOCK OF TEST EVENTS FROM FRONT AND BACK DIAGONALS AND INVERTED V CONFIGURATIONS ) XXXXXXX STAT2185 READS A SEQUENCE OF BMAX K0-ELEMENT TEST EVENTS FROM STAT2185.INP AND A SEQUENCE OF IMAX K0-ELEMENT STAR EVENTS FROM BASE.INP. THE INPUT SEQUENCE IN STAT2185.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. AND K0-ELEMENT EVENTS ARE FILTERED FROM EACH BLOCK. SELECTED EVENTS CONSIST OF FRONT AND BACK DIAGONALS AND INVERTED V CONFIGURATIONS. 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. STAT2185 IS A VARIANT OF STAT1650, TACITLY GENERATING A SEQUENCE OF HIGH-PROBABILITY TEST EVENTS IN STAT2185.OUT AND STAT94.INP. CF. STAT1649. CF. STAT1641 FOR GENERATING STAT2185.INP IN THE FORM OF STAT94.INP. CF. ALSO STAT1323, STAT1505, STAT1506, STAT1511, STAT1618 AND STAT1631. ===================================================================== -- L 2186 -- ( FILTERING A SEQUENCE OF EVENTS FROM A LARGE SEQUENCE FOR WHICH THE INITIAL ELEMENT LIES IN A PRESCRIBED RANGE , [ K1,K2 ] ) II STAT2186 READS A LARGE SEQUENCE OF K0-ELEMENT TEST EVENTS FROM STAT2186.INP. EVENTS ARE FILTERED FOR WHICH THE INITIAL ELEMENT LIES IN A DESIRED CLOSED INTERVAL , [ K1,K2 ] , IN A CYCLICAL PATTERN. STAT2186 ALSO READS A SEQUENCE OF IMAX K0-ELEMENT STAR EVENTS FROM BASE.INP AND EACH K0-ELEMENT EVENT IS TRANSLATED BY EACH VECTOR FROM THE SEQUENCE IN STAT2186.IN2 AND THE TRANSFORMED EVENTS ARE INTERSECTED WITH THE SEQUENCE OF STAR EVENTS FROM BASE.INP. PROCESS- ING IS TERMINATED WHEN A FULL COMPLEMENT OF EVENTS IS GENERATED WITH ONE EVENT PER ELEMENT IN THE PRESCRIBED INTERVAL, [ K1,K2 ] . 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. STAT2186 IS A VARIANT OF STAT2103, TACITLY GENERATING A SEQUENCE OF HIGH-PROBABILITY TEST EVENTS IN STAT2186.OUT AND STAT94.INP. HOWEVER, THE BLOCK OF K0-ELEMENT INPUT EVENTS REMAINS FIXED. CF. STAT2103. CF. STAT1641 FOR GENERATING STAT2186.INP IN THE FORM OF STAT94.INP. CF. ALSO STAT1323, STAT1505, STAT1506, STAT1511, STAT1618 AND STAT1631. INPUT EVENTS IN STAT2186.INP MAY BE TACITLY GENERATED BY STAT1438 AS STAT94.INP. CF. STAT2190. ===================================================================== -- L 2187 -- ( FILTERING A SEQUENCE OF K2 EVENTS FROM A LARGE SEQUENCE FOR WHICH THE INITIAL ELEMENT LIES IN A PRESCRIBED INTERVAL, [ K1,K2 ] , AND FOR WHICH THE FINAL ELEMENT LIES IN A PRESCRIBED INTERVAL, [ K3,K4 ] ) AND FOR WHICH THE SEQUENCE OF STAR EVENTS SATISFY THE SAME OCCURRENCE CONFIGURATION ) III STAT2187 READS A LARGE SEQUENCE OF K0-ELEMENT TEST EVENTS FROM STAT2187.INP. K2 EVENTS ARE FILTERED FOR WHICH THE INITIAL ELEMENT LIES IN A PRESCRIBED INTERVAL, [ K1,K2 ] , AND FOR WHICH THE FINAL ELEMENT LIES IN A PRESCRIBED INTERVAL, [ K3,K4 ] , SELECTED AT RANDOM. STAT2187 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 STAT2187.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. STAT2187 IS A VARIANT OF STAT2103, TACITLY GENERATING A SEQUENCE OF HIGH-PROBABILITY TEST EVENTS IN STAT2187.OUT AND STAT94.INP. HOWEVER, THE BLOCK OF K0-ELEMENT INPUT EVENTS REMAINS FIXED. CF. STAT2103. CF. STAT1641 FOR GENERATING STAT2187.INP IN THE FORM OF STAT94.INP. CF. ALSO STAT1323, STAT1505, STAT1506, STAT1511, STAT1618 AND STAT1631. INPUT EVENTS IN STAT2187.INP MAY BE TACITLY GENERATED BY STAT1438 AS STAT94.INP. CF. STAT1438. CF. ALSO STAT1654 AND STAT2407. ===================================================================== -- L 2188 -- ( TRANSLATING AND PREDICTING INTERSECTION PERFORMANCE OF EACH EVENT OF A BLOCK OF K0-ELEMENT EVENTS GENERATED FROM TRIADS UNION DIAGONALS OF ELEMENTS FROM ADJACENT PAIRS OF EVENTS FROM A FIXED BLOCK ) II STAT2188 READS A FIXED BLOCK OF BMAX K0-ELEMENT TEST EVENTS FROM STAT2188.INP, A SEQUENCE OF CMAX K0-ELEMENT TRANSLATION VECTORS FROM STAT2188.IN2 AND A SEQUENCE OF IMAX K0-ELEMENT STAR EVENTS FROM BASE.INP. K0-ELEMENT EVENTS ARE GENERATED FROM TRIADS UNION DIAGONALS OF ELEMENTS FROM ADJACENT PAIRS OF THE INPUT EVENTS FROM STAT2188.INP. EACH K0-ELEMENT EVENT IS TRANSLATED BY EACH VECTOR FROM THE SEQUENCE IN STAT2188.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. STAT2188 IS A VARIANT OF STAT1654, TACITLY GENERATING A SEQUENCE OF HIGH-PROBABILITY TEST EVENTS IN STAT2188.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 STAT2188.INP ARE INCLUDED AS OUTPUT EVENTS. CF. STAT1649. CF. STAT1641 FOR GENERATING STAT2188.INP IN THE FORM OF STAT94.INP. CF. ALSO STAT1323, STAT1505, STAT1506, STAT1511, STAT1618 AND STAT1631. INPUT EVENTS IN STAT2188.INP MAY BE TACITLY GENERATED BY STAT1438 AS STAT94.INP. CF. STAT1438. CF. STAT204 FOR THE GENERATION OF STAT2188.INP AND CF. STAT2171 FOR THE GENERATION OF STAT2188.IN2. CF. STAT2186 FOR GENERATING STAT2188.INP AS STAT94.INP. CF. ALSO STAT1654. ===================================================================== -- L 2189 -- ( PREDICTING INTERSECTION PERFORMANCE OF EACH EVENT OF A BLOCK K0-ELEMENT EVENTS GENERATED BY SUBSTITUTION OF A PRESCRIBED SET OF ELEMENTS FOR SELECTED ELEMENTS PER EVENT ) III STAT2189 READS A FIXED BLOCK OF BMAX K0-ELEMENT TEST EVENTS FROM STAT2189.INP, A SEQUENCE OF CMAX K0-ELEMENT TRANSLATION VECTORS FROM STAT2189.IN2 AND A SEQUENCE OF IMAX K0-ELEMENT STAR EVENTS FROM BASE.INP. K0-ELEMENT EVENTS ARE GENERATED BY SUBSTITUTION OF A PRESCRIBED SET OF ELEMENTS FOR SELECTED ELEMENTS PER EVENT IN STAT2189.INP. EACH K0-ELEMENT EVENT IS TRANSLATED BY EACH VECTOR FROM THE SEQUENCE IN STAT2189.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. STAT2189 IS A VARIANT OF STAT2188, TACITLY GENERATING A SEQUENCE OF HIGH-PROBABILITY TEST EVENTS IN STAT2189.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 STAT2189.INP ARE INCLUDED AS OUTPUT EVENTS. CF. STAT1649. CF. STAT1641 FOR GENERATING STAT2189.INP IN THE FORM OF STAT94.INP. CF. ALSO STAT1323, STAT1505, STAT1506, STAT1511, STAT1618 AND STAT1631. INPUT EVENTS IN STAT2189.INP MAY BE TACITLY GENERATED BY STAT1438 AS STAT94.INP. CF. STAT1438. CF. STAT204 FOR THE GENERATION OF STAT2189.INP AND CF. STAT2171 FOR THE GENERATION OF STAT2189.IN2. CF. STAT2186 FOR GENERATING STAT2189.INP AS STAT94.INP. CF. ALSO STAT1654. ===================================================================== -- L 2190 -- ( FILTERING A SEQUENCE OF EVENTS FROM A LARGE SEQUENCE FOR WHICH THE INITIAL ELEMENT LIES IN A PRESCRIBED RANGE , [ K1,K2 ] ) ( CYCLICAL VERSION ) IV STAT2190 READS A LARGE SEQUENCE OF K0-ELEMENT TEST EVENTS FROM STAT2190.INP. EVENTS ARE FILTERED FOR WHICH THE INITIAL ELEMENT LIES IN A DESIRED CLOSED INTERVAL , [ K1,K2 ] , IN A CYCLICAL PATTERN. STAT2190 ALSO READS A SEQUENCE OF IMAX K0-ELEMENT STAR EVENTS FROM BASE.INP AND EACH K0-ELEMENT EVENT IS TRANSLATED BY EACH VECTOR FROM THE SEQUENCE IN STAT2190.IN2 AND TRANSFORMED EVENTS ARE INTERSECTED WITH THE SEQUENCE OF STAR EVENTS FROM BASE.INP. PROCESS- ING IS TERMINATED WHEN A FULL COMPLEMENT OF EVENTS IS GENERATED WITH ONE EVENT PER ELEMENT IN THE PRESCRIBED INTERVAL, [ K1,K2 ] . THIS PROCESS IS CYCLICALLY REPEATED AS DESIRED BY THE ANALYST, WHICH ALLOWS FOR THE FILTRATION OF MULTIPLE BLOCKS OF 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. STAT2190 IS A VARIANT OF STAT2186, TACITLY GENERATING A SEQUENCE OF HIGH-PROBABILITY TEST EVENTS IN STAT2190.OUT AND STAT94.INP. HOWEVER, THE BLOCK OF K0-ELEMENT INPUT EVENTS REMAINS FIXED. CF. STAT2103. CF. STAT1641 FOR GENERATING STAT2190.INP IN THE FORM OF STAT94.INP. CF. ALSO STAT1323, STAT1505, STAT1506, STAT1511, STAT1618 AND STAT1631. INPUT EVENTS IN STAT2190.INP MAY BE TACITLY GENERATED BY STAT1438 AS STAT94.INP. CF. STAT2186. ===================================================================== -- L 2191 -- ( TRANSLATING AND PREDICTING INTERSECTION PERFORMANCE OF EACH EVENT OF A BLOCK OF K0-ELEMENT EVENTS GENERATED FROM A SPECIAL Z-CONFIGURATION OF ELEMENTS FROM TRIADS OF ROWS FROM EVENTS FROM A FIXED BLOCK ) IV STAT2191 READS A FIXED BLOCK OF BMAX K0-ELEMENT TEST EVENTS FROM STAT2191.INP, A SEQUENCE OF CMAX K0-ELEMENT TRANSLATION VECTORS FROM STAT2191.IN2 AND A SEQUENCE OF IMAX K0-ELEMENT STAR EVENTS FROM BASE.INP. K0-ELEMENT EVENTS ARE GENERATED FROM A SPECIAL Z-CONFIGURATION OF ELEMENTS FROM TRIADS OF ROWS FROM EVENTS OF STAT2191.INP. EACH K0-ELEMENT EVENT IS TRANSLATED BY EACH VECTOR FROM THE SEQUENCE IN STAT2191.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. STAT2191 IS A VARIANT OF STAT2188, TACITLY GENERATING A SEQUENCE OF HIGH-PROBABILITY TEST EVENTS IN STAT2191.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 STAT2191.INP ARE INCLUDED AS OUTPUT EVENTS. CF. STAT1649. CF. STAT1641 FOR GENERATING STAT2191.INP IN THE FORM OF STAT94.INP. CF. ALSO STAT1323, STAT1505, STAT1506, STAT1511, STAT1618 AND STAT1631. INPUT EVENTS IN STAT2191.INP MAY BE TACITLY GENERATED BY STAT1438 AS STAT94.INP. CF. STAT1438. CF. STAT204 FOR THE GENERATION OF STAT2191.INP AND CF. STAT2171 FOR THE GENERATION OF STAT2191.IN2. CF. STAT2186 FOR GENERATING STAT2191.INP AS STAT94.INP. CF. ALSO STAT1654 AND STAT2188. ===================================================================== -- L 2192 -- ( PREDICTING FUTURE INTERSECTIONS FOR A CYCLIC BLOCK OF TEST EVENTS VIA UNIONS OF SELECTED V-CONFIGURATIONS, INVERTED V-CONFIGURATIONS, AND CROSS-CONFIGURATIONS ) XXV STAT2192 READS A SEQUENCE OF BMAX K0-ELEMENT TEST EVENTS FROM STAT2192.INP AND A SEQUENCE OF IMAX K0-ELEMENT STAR EVENTS FROM BASE.INP. THE INPUT SEQUENCE IN STAT2192.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. AND K0-ELEMENT EVENTS ARE FILTERED FROM EACH BLOCK. SELECTED EVENTS CONSIST OF UNIONS OF V-CONFIGURATIONS, INVERTED V-CONFIGURATIONS, AND CROSS-CONFIGURATIONS ARE CYCLICALLY FILTERED FROM STAT2192.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. STAT2192 IS A VARIANT OF STAT1650, TACITLY GENERATING A SEQUENCE OF HIGH-PROBABILITY TEST EVENTS IN STAT2192.OUT AND STAT94.INP. CF. STAT1649. CF. STAT1641 FOR GENERATING STAT2192.INP IN THE FORM OF STAT94.INP. CF. ALSO STAT1323, STAT1505, STAT1506, STAT1511, STAT1618 AND STAT1631. ===================================================================== -- L 2193 -- ( FILTERING A SEQUENCE OF K2 EVENTS FROM A LARGE SEQUENCE FOR WHICH THE 1ST THREE ELEMENTS EXCEED PRESCRIBED VALUES, K1,K2,K3 ) IV STAT2193 READS A LARGE SEQUENCE OF K0-ELEMENT TEST EVENTS FROM STAT2193.INP. K2 EVENTS ARE FILTERED FOR WHICH THE 1ST THREE ELEMENTS EXCEED PRESCRIBED INTEGERS SELECTED BY THE ANALYST. STAT2193 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 STAT2193.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. STAT2193 IS A VARIANT OF STAT2187, TACITLY GENERATING A SEQUENCE OF HIGH-PROBABILITY TEST EVENTS IN STAT2193.OUT AND STAT94.INP. HOWEVER, THE BLOCK OF K0-ELEMENT INPUT EVENTS REMAINS FIXED. CF. STAT2103. CF. STAT1641 FOR GENERATING STAT2193.INP IN THE FORM OF STAT94.INP. CF. ALSO STAT1323, STAT1505, STAT1506, STAT1511, STAT1618 AND STAT1631. INPUT EVENTS IN STAT2193.INP MAY BE TACITLY GENERATED BY STAT1438 AS STAT94.INP. CF. STAT2187. ===================================================================== -- L 2194 -- ( TRANSLATING AND PREDICTING INTERSECTION PERFORMANCE OF EACH EVENT OF A BLOCK OF K0-ELEMENT EVENTS GENERATED FROM A SPECIAL V-CONFIGURATION OF ELEMENTS FROM ADJACENT PAIRS OF ROWS FROM EVENTS FROM A FIXED BLOCK ) V STAT2194 READS A FIXED BLOCK OF BMAX K0-ELEMENT TEST EVENTS FROM STAT2194.INP, A SEQUENCE OF CMAX K0-ELEMENT TRANSLATION VECTORS FROM STAT2194.IN2 AND A SEQUENCE OF IMAX K0-ELEMENT STAR EVENTS FROM BASE.INP. K0-ELEMENT EVENTS ARE GENERATED FROM A SPECIAL V-CONFIGURATION OF ELEMENTS FROM ADJACENT PAIRS OF ROWS FROM EVENTS OF STAT2194.INP. EACH K0-ELEMENT EVENT IS TRANSLATED BY EACH VECTOR FROM THE SEQUENCE IN STAT2194.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. STAT2194 IS A VARIANT OF STAT2191, TACITLY GENERATING A SEQUENCE OF HIGH-PROBABILITY TEST EVENTS IN STAT2194.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 STAT2194.INP ARE INCLUDED AS OUTPUT EVENTS. CF. STAT1649. CF. STAT1641 FOR GENERATING STAT2194.INP IN THE FORM OF STAT94.INP. CF. ALSO STAT1323, STAT1505, STAT1506, STAT1511, STAT1618 AND STAT1631. INPUT EVENTS IN STAT2194.INP MAY BE TACITLY GENERATED BY STAT1438 AS STAT94.INP. CF. STAT1438. CF. STAT204 FOR THE GENERATION OF STAT2194.INP AND CF. STAT2171 FOR THE GENERATION OF STAT2194.IN2. CF. STAT2186 FOR GENERATING STAT2194.INP AS STAT94.INP. CF. ALSO STAT1654, STAT2188, AND STAT2191. ===================================================================== -- L 2195 -- ( GENERATING K0-ELEMENT EVENTS BY ADDING CYCLIC ELEMENTS (MOD L0) TO NON-OVERLAPPING SUB-BLOCKS OF A LARGE BLOCK OF K0-ELEMENT EVENTS ) II STAT2195 READS A LARGE BLOCK OF BMAX K0-ELEMENT TEST EVENTS FROM STAT2195.INP AND A SEQUENCE OF IMAX K0-ELEMENT STAR EVENTS FROM BASE.INP. ELEMENTS FROM THE SEQUENCE < 1, 2, ... , L0 > ARE ADDED TO EACH ELEMENT OF EACH EVENT OF A SEQUENCE OF SELECTED NON-OVERLAPPING BLOCKS OF DESIRED SIZE M0. EACH EVENT IN THE NEWLY SELECTED BLOCKS IS SUBSEQUENTLY INTERSECTED WITH EACH EVENT IN THE SEQUENCE OF STAR EVENTS READ FROM FILE BASE.INP. THE PROGRAM IS AUTOMATICALLY TERMINATED WHEN BLOCKS OF EVENTS ARE GENERATED WHICH QUALIFY AS HIGH-PROBABILITY SEQUENCES. 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. STAT2195 FILTERS TEST EVENTS FROM STAT2195.INP INTO STAT2195.OUT AND STAT94.INP. INPUT BLOCKS FROM STAT2195.INP ARE ACCEPTED AS [*]- QUALIFIED IF, TMAX IS .LE. -Q0*KCT, WHERE KCT IS THE OCCURRENCE CADENCE AND TMAX IS THE NUMBER OF ELAPSED STAR EVENT INDICES SINCE AT LEAST ONE [3] , ... , [K0] SHOULD EITHER BE EXPECTED TO OCCUR OR SHOULD HAVE ALREADY OCCURRED. THIS PROCESS IS CYCLICALLY REPEATED OVER ALL STAR EVENTS. STAT2195 IS A VARIANT OF STAT2023, STREAMLINING OUTPUT UNTIL AN EXHAUSTIVE SEARCH OVER STAT2195.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 STAT2195 WHICH GENERATES BLOCKS OF INPUT EVENTS RANDOMLY. STAT2195 USES A SEQUENCE OF CONSECUTIVE INDICES VS. TMAX TO GENERATE THE PRESCRIBED BLOCK OF EVENTS WHOSE VALUE OF TMAX MATCHES THE GIVEN SEQUENCE OF INDICES WITHIN A DESIRED INTERVAL. CF. ALSO STAT1619, WHICH IS THE PERMUTATION VERSION OF STAT2195. ===================================================================== -- L 2196 -- ( PREDICTING FUTURE INTERSECTIONS FOR AN EXTENDED BLOCK OF TEST EVENTS WHICH ARE READ CYCLICALLY READ FROM A FIXED INPUT FILE AND FILTERING EVENTS HAVING (IMAX+1)-H(II) .GE. Q0 ) , UTILIZING THE GREATEST LOWER BOUND AND LEAST UPPER BOUND FOR Q0 ) XXXXXXXII STAT2196 READS A VERY LARGE SEQUENCE OF K0-ELEMENT EVENTS FROM STAT2196.INP, E.G., WITH BLOCK-SIZE EXCEEDING 10,000 OR MORE AND ALSO READS A SEQUENCE OF BMAX K0-ELEMENT STAR EVENTS FROM BASE.INP. NON-OVERLAPPING M0-EVENT BLOCKS OF K0-ELEMENT EVENTS ARE INTERSECTED WITH EACH EVENT IN THE SEQUENCE OF STAR EVENTS READ FROM FILE BASE.INP. STAT2196 IS AUTOMATICALLY TERMINATED WHEN A SEQUENCE OF TEST EVENTS IS READ WHICH QUALIFIES AS A HIGH-PROBABILITY SEQUENCE. THE ROUTINE ALSO FLAGS THE ELEMENTS OF A DESIRED RANGE OF STAR EVENTS AS THEY OCCUR AMONG THE ELEMENTS OF EACH TEST EVENT. MOREOVER, OUTPUT TEST EVENTS ARE PRINTED IN THE FILE STAT94.INP FOR FUTURE USE BY OTHER ROUTINES. MOREOVER, THE NUMBER AND PERCENTAGE OF 0's , 1's, 2's, 3's, 4's, ... , K0's ARE COMPUTED AS DETERMINED CARDINALITIES OF INTERSECTION NUMBERS BETWEEN TEST EVENTS AND EACH EVENT IN THE RANGE OF SELECTED STAR EVENTS. A CONFIGURATION MATRIX IS GENERATED WHICH INDICATES THE ELEMENTS IN COMMON BETWEEN TEST EVENTS AND THE DESIRED RANGE OF SUCCESSIVE STAR EVENTS. THE ROUTINE ALSO PREDICTS THE NEXT SUCCESSFUL INTERSECTION INDEX BETWEEN A STAR EVENT AND THE GENERATED BLOCK OF TEST EVENTS. A CYCLICALLY SELECTED BLOCK OF K0-ELEMENT OUTPUT EVENTS IS [*]-QUALIFIED IF, AND ONLY IF, | IMAX+1 - H(II) | .GE. Q0 , FOR SOME POSITIVE INTEGER Q0 SELECTED BY THE ANALYST IN REAL TIME AND WHERE KCT IS THE CADENCE OR NUMBER OF ELAPSED STAR INDICES OVER WHICH THE FILTERING CRITERION SHOULD OCCUR , IMAX IS THE FINAL STAR EVENT INDEX, II IS THE FINAL OCCURRENCE INDEX FOR INTERSECTIONS, AND MAX IS THE LARGEST INDEX DISPLACEMENT. STAT2196 IS A VARIANT/HYBRID OF STAT2080, EXECUTING UNTIL AN EXHAUSTIVE SEARCH IS COMPLETED FOR QUALIFYING BLOCKS OF K0-ELEMENT EVENTS, MAKING STAT2196 AS TERSE AS DESIRED. STAT2196 IS ANOTHER TEST EVENT VERSION OF STAT1273, AS WELL AS A VARIANT OF STAT1268. HOWEVER, PRINTED OUTPUT IS SUPPRESSED TO ALLOW FOR EXTENSIVE PROCESSING, MAKING STAT2196 AS TERSE AS DESIRED. CF. ALSO STAT1725 AND STAT1800. HIGH-PROBABILITY EVENTS ARE GENERATED INTO STAT94.IN3. CF. STAT2080 AND STAT2197. ===================================================================== -- L 2197 -- ( PREDICTING FUTURE INTERSECTIONS FOR AN EXTENDED BLOCK OF TEST EVENTS WHICH ARE READ CYCLICALLY READ FROM A FIXED INPUT FILE AND FILTERING EVENTS HAVING (IMAX+1)-H(II) .GE. Q0 * KCT , UTILIZING THE GREATEST LOWER BOUND AND LEAST UPPER BOUND FOR Q0*KCT ) XXXXXXXI STAT2197 READS A VERY LARGE SEQUENCE OF K0-ELEMENT EVENTS FROM STAT2197.INP, E.G., WITH BLOCK-SIZE EXCEEDING 10,000 OR MORE AND ALSO READS A SEQUENCE OF BMAX K0-ELEMENT STAR EVENTS FROM BASE.INP. NON-OVERLAPPING M0-EVENT BLOCKS OF K0-ELEMENT EVENTS ARE INTERSECTED WITH EACH EVENT IN THE SEQUENCE OF STAR EVENTS READ FROM FILE BASE.INP. STAT2197 IS AUTOMATICALLY TERMINATED WHEN A SEQUENCE OF TEST EVENTS IS READ WHICH QUALIFIES AS A HIGH-PROBABILITY SEQUENCE. THE ROUTINE ALSO FLAGS THE ELEMENTS OF A DESIRED RANGE OF STAR EVENTS AS THEY OCCUR AMONG THE ELEMENTS OF EACH TEST EVENT. MOREOVER, OUTPUT TEST EVENTS ARE PRINTED IN THE FILE STAT94.INP FOR FUTURE USE BY OTHER ROUTINES. MOREOVER, THE NUMBER AND PERCENTAGE OF 0's , 1's, 2's, 3's, 4's, ... , K0's ARE COMPUTED AS DETERMINED CARDINALITIES OF INTERSECTION NUMBERS BETWEEN TEST EVENTS AND EACH EVENT IN THE RANGE OF SELECTED STAR EVENTS. A CONFIGURATION MATRIX IS GENERATED WHICH INDICATES THE ELEMENTS IN COMMON BETWEEN TEST EVENTS AND THE DESIRED RANGE OF SUCCESSIVE STAR EVENTS. THE ROUTINE ALSO PREDICTS THE NEXT SUCCESSFUL INTERSECTION INDEX BETWEEN A STAR EVENT AND THE GENERATED BLOCK OF TEST EVENTS. A CYCLICALLY SELECTED BLOCK OF K0-ELEMENT OUTPUT EVENTS IS [*]- QUALIFIED IF, AND ONLY IF, | IMAX+1 - H(II) | .GE. ( Q0 * KCT ) , FOR SOME POSITIVE INTEGER Q0 SELECTED BY THE ANALYST IN REAL TIME AND WHERE KCT IS THE CADENCE OR NUMBER OF ELAPSED STAR INDICES OVER WHICH THE FILTERING CRITERION SHOULD OCCUR , IMAX IS THE FINAL STAR EVENT INDEX, II IS THE FINAL OCCURRENCE INDEX FOR INTERSECTIONS, AND MAX IS THE LARGEST INDEX DISPLACEMENT. STAT2197 IS A VARIANT/HYBRID OF STAT2196, EXECUTING UNTIL AN EXHAUSTIVE SEARCH IS COMPLETED FOR QUALIFYING BLOCKS OF K0-ELEMENT EVENTS, MAKING STAT2197 AS TERSE AS DESIRED. STAT2197 IS ANOTHER TEST EVENT VERSION OF STAT1273, AS WELL AS A VARIANT OF STAT1268. HOWEVER, PRINTED OUTPUT IS SUPPRESSED TO ALLOW FOR EXTENSIVE PROCESSING, MAKING STAT2197 AS TERSE AS DESIRED. CF. ALSO STAT1725 AND STAT1800. HIGH-PROBABILITY EVENTS ARE GENERATED INTO STAT94.IN3. CF. STAT2080. CF. ALSO STAT1606 FOR THE GENERATION OF STAT2197.INP AS STAT2196.INP ===================================================================== -- L 2198 -- ( GENERATING K0-ELEMENT EVENTS FROM TRIADS OF K0-ELEMENT EVENTS BY CYCLICALLY ADDING A DESIRED RANGE OF INTEGERS IN THE INTERVAL [ K1,K2 ] TO EACH ELEMENT OF EVERY INPUT EVENT OF EACH TRIAD ) ( FOR L4A.PDF FILE ) STAT2198 READS A SEQUENCE OF BMAX K0-ELEMENT TEST EVENTS FROM STAT2198.INP AND A SEQUENCE OF IMAX K0-ELEMENT STAR EVENTS FROM BASE.INP. TRIADS OF EVENTS FROM STAT2198.INP AND THE DESIRED RANGE OF INTEGERS FROM [ K1,K2 ] ARE UTILIZED TO GENERATE NEW EVENTS. K0-ELEMENT EVENTS ARE GENERATED BY CYCLICALLY ADDING A DESIRED RANGE OF INTEGERS IN THE INTERVAL [ K1,K2 ] TO EACH EVENT. THE ANALYST IS PROMPTED FOR A DESIRED MAXIMUM NUMBER OF TEST EVENTS. A SELECTED STAR EVENT OR SEQUENCE OF STAR EVENTS IS THEN INTERSECTED WITH EACH GENERATED TEST EVENT FOR UP TO 400 POSSIBLE STAR EVENTS. THE ROUTINE FLAGS THE ELEMENTS OF A DESIRED RANGE OF STAR EVENTS AS THEY OCCUR AMONG THE ELEMENTS OF EACH TEST EVENT. MOREOVER, OUTPUT TEST EVENTS ARE PRINTED IN THE FILE STAT94.INP FOR FUTURE USE BY OTHER ROUTINES. MOREOVER, THE NUMBER AND PERCENTAGE OF 0's , 1's, 2's, 3's, 4's, ... , K0's ARE COMPUTED AS DETERMINED CARDINALITIES OF INTERSECTION NUMBERS BETWEEN TEST EVENTS AND EACH EVENT IN THE RANGE OF SELECTED STAR EVENTS. A CONFIGURATION MATRIX IS GENERATED WHICH INDICATES THE ELEMENTS IN COMMON BETWEEN PERMUTATIONS AND THE DESIRED RANGE OF SUCCESSIVE STAR EVENTS. THE ROUTINE ALSO PREDICTS THE NEXT SUCCESSFUL INTERSECTION INDEX BETWEEN A STAR EVENT AND THE GENERATED BLOCK OF TEST EVENTS. STAT2198 IS A VARIANT OF STAT1891, TACITLY GENERATING A SEQUENCE OF HIGH-PROBABILITY TEST EVENTS IN STAT2198.OUT AND STAT94.INP. HOWEVER, A HIGH-PROBABILITY ESOTERIC PROCEDURE IS EMPLOYED IN IN SELECTING A PAIR OF NEW EVENTS UNION EACH INPUT TEST EVENT. GENERATED EVENTS ARE FILTERED BY SELECTING ONLY THOSE TEST EVENTS FROM THE SEQUENCE WITH INDICES WHICH ARE CONGRUENT TO AN ELEMENT OF A SEQUENCE OF VECTORS SELECTED BY THE ANALYST, I.E. , < M1, M2, M3, M4, ... , M10 > ( MOD T) , FOR KTOP DESIRED INTEGERS T AND SOME DESIRED SEQUENCE OF POSITIVE INTEGERS : M1, M2, M3, M4, M5, M6,M7, M8, M9, AND M10 (NOT NECESSARILY DISTINCT). CF. STAT1740 FOR GENERATION OF STAT2198.INP AS STAT94.INP. / / CF. ALSO STAT1756 AND STAT1891. / / ===================================================================== -- L 2199 -- ( TRANSLATING AND PREDICTING INTERSECTION PERFORMANCE OF EACH EVENT OF A BLOCK OF K0-ELEMENT EVENTS GENERATED FROM A SPECIAL CONFIGURATION OF ELEMENTS FROM MEANS OF PAIRS OF ELEMENTS FROM SELECTED COLUMNS UNION A PAIR OF SINGLETON ELEMENTS OVER PAIRS OF CONSECUTIVE EVENTS ) IX STAT2199 READS A FIXED BLOCK OF BMAX K0-ELEMENT TEST EVENTS FROM STAT2199.INP, A SEQUENCE OF CMAX K0-ELEMENT TRANSLATION VECTORS FROM STAT2199.IN2 AND A SEQUENCE OF IMAX K0-ELEMENT STAR EVENTS FROM BASE.INP. K0-ELEMENT EVENTS ARE GENERATED FROM A SPECIAL CONFIGURATION OF ELEMENTS FROM MEANS OF PAIRS OF ELEMENTS FROM SELECTED COLUMNS UNION A PAIR OF SINGLETON ELEMENTS OVER PAIRS OF CONSECUTIVE EVENTS. EACH K0-ELEMENT EVENT IS TRANSLATED BY VECTORS FROM THE SEQUENCE IN STAT2199.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. STAT2199 IS A VARIANT OF STAT2194, TACITLY GENERATING A SEQUENCE OF HIGH-PROBABILITY TEST EVENTS IN STAT2199.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 STAT2199.INP ARE INCLUDED AS OUTPUT EVENTS. CF. STAT1649. CF. STAT1641 FOR GENERATING STAT2199.INP IN THE FORM OF STAT94.INP. CF. ALSO STAT1323, STAT1505, STAT1506, STAT1511, STAT1618 AND STAT1631. INPUT EVENTS IN STAT2199.INP MAY BE TACITLY GENERATED BY STAT1438 AS STAT94.INP. CF. STAT1438. CF. STAT204 FOR THE GENERATION OF STAT2199.INP AND CF. STAT2171 FOR THE GENERATION OF STAT2199.IN2. CF. STAT2186 FOR GENERATING STAT2199.INP AS STAT94.INP. CF. ALSO STAT1654, STAT2188, AND STAT2191. CF. ALSO STAT2200, WHICH GENERATES ONE-HALF THE NUMBER OF EVENTS GENERATED BY STAT2199. ===================================================================== -- L 2200 -- ( TRANSLATING AND PREDICTING INTERSECTION PERFORMANCE OF EACH EVENT OF A BLOCK OF K0-ELEMENT EVENTS GENERATED FROM A SPECIAL CONFIGURATION OF ELEMENTS FROM MEANS OF PAIRS OF ELEMENTS FROM SELECTED COLUMNS UNION A PAIR OF SINGLETON ELEMENTS OVER PAIRS OF CONSECUTIVE EVENTS ) X STAT2200 READS A FIXED BLOCK OF BMAX K0-ELEMENT TEST EVENTS FROM STAT2200.INP, A SEQUENCE OF CMAX K0-ELEMENT TRANSLATION VECTORS FROM STAT2200.IN2 AND A SEQUENCE OF IMAX K0-ELEMENT STAR EVENTS FROM BASE.INP. K0-ELEMENT EVENTS ARE GENERATED FROM A SPECIAL CONFIGURATION OF ELEMENTS FROM MEANS OF PAIRS OF ELEMENTS FROM SELECTED COLUMNS UNION A PAIR OF SINGLETON ELEMENTS OVER PAIRS OF CONSECUTIVE EVENTS. EACH K0-ELEMENT EVENT IS TRANSLATED BY VECTORS FROM THE SEQUENCE IN STAT2200.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. STAT2200 IS A VARIANT OF STAT2194, TACITLY GENERATING A SEQUENCE OF HIGH-PROBABILITY TEST EVENTS IN STAT2200.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 STAT2200.INP ARE INCLUDED AS OUTPUT EVENTS. CF. STAT1649. CF. STAT1641 FOR GENERATING STAT2200.INP IN THE FORM OF STAT94.INP. CF. ALSO STAT1323, STAT1505, STAT1506, STAT1511, STAT1618 AND STAT1631. INPUT EVENTS IN STAT2200.INP MAY BE TACITLY GENERATED BY STAT1438 AS STAT94.INP. CF. STAT1438. CF. STAT204 FOR THE GENERATION OF STAT2200.INP AND CF. STAT2171 FOR THE GENERATION OF STAT2200.IN2. CF. STAT2186 FOR GENERATING STAT2200.INP AS STAT94.INP. CF. ALSO STAT1654, STAT2188, AND STAT2191. ===================================================================== -- L 2201 -- ( TESTING AND PREDICTING INTERSECTION PERFORMANCE OF A LARGE SEQUENCE OF K0-ELEMENT EVENTS VS. A FIXED BLOCK ) XX STAT2201 READS A FIXED BLOCK OF BMAX K0-ELEMENT TEST EVENTS FROM STAT2201.INP, LARGE SEQUENCE OF K0-ELEMENT TEST EVENTS FROM STAT2201.IN2, AND A SEQUENCE OF IMAX K0-ELEMENT STAR EVENTS FROM BASE.INP. K0-ELEMENT EVENTS FROM STAT2201.IN2 ARE DIRECTLY INTERSECTED WITH THE FIXED BLOCK OF TEST EVENTS FROM STAT2201.INP. A MATRIX IS GENERATED WHICH INDICATES THE ELEMENTS IN COMMON BETWEEN TEST EVENTS FROM STAT2201.INP VS. TEST EVENTS FROM STAT2201.IN2. THE ROUTINE ALSO PREDICTS THE NEXT SUCCESSFUL INTERSECTION INDEX BETWEEN A STAR EVENT AND THE GENERATED BLOCK OF TEST EVENTS. STAT2201 IS A VARIANT OF STAT1654, TACITLY GENERATING A SEQUENCE OF HIGH-PROBABILITY TEST EVENTS IN STAT2201.OUT AND STAT94.INP. CF. STAT1649. CF. STAT1641 FOR GENERATING STAT2201.INP IN THE FORM OF STAT94.INP. CF. ALSO STAT1323, STAT1505, STAT1506, STAT1511, STAT1618, STAT1631 AND STAT1654. ===================================================================== -- L 2202 -- ( CONSTRUCTING AND SORTING A SEQUENCE OF UNIQUE PERMUTATIONS FROM TRANSLATIONS OF SELECTED PAIRS OF INITIAL ELEMENTS ) XX STAT2202 READS A SEQUENCE OF BMAX K0-ELEMENT EVENTS FROM FILE STAT2202.INP AND A SEQUENCE OF IMAX K0-ELEMENT STAR EVENTS FROM BASE.INP. PERMUTATIONS OF A FIXED SIZE ARE CONSTRUCTED FROM TRANSLATIONS OF SELECTED PAIRS OF INITIAL ELEMENTS FROM STAT2202.INP. PERMUTATIONS WITH SIZES RANGING FROM 2*K0 THROUGH L0 ARE GENERATED, BASED UPON A REAL-TIME STEP-SIZE, Q0, SELECTED BY THE ANALYST. A SELECTED STAR EVENT OR SEQUENCE OF STAR EVENTS IS THEN INTERSECTED WITH EACH PERMUTATION FILTERED FROM THE ABOVE CYCLICAL PROCESS. THE ROUTINE FLAGS THE ELEMENTS OF A DESIRED RANGE OF STAR EVENTS AS THEY OCCUR AMONG THE ELEMENTS OF EACH 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 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. STAT2202 IS A VARIANT OF STAT1647, TACITLY GENERATING A SEQUENCE OF HIGH-PROBABILITY PERMUTATIONS IN STAT2202.OUT AND PERM.OUT. HOWEVER, PERMUATIONS OF A VARYING SIZES ARE AUTOMATICALLY GENERATED. REPETITIVE ELEMENTS ARE ALSO ELIMINATED FROM EACH GENERATED PERMUTATION. A FILE OF CUMULATIVE INDEX SETS FOR STAR ELEMENTS IN GENERATED PERMUTATIONS IS RECORDED IN INDEXSET.OUT. PERM.OUT MAY BE UTILIZED AS PERM.INP IN STAT1827 TO GENERATE ALL POSSIBLE K0-ELEMENT EVENTS FROM EACH OUTPUT PERMUTATION. CF. ALSO STAT1647. ===================================================================== -- L 2203 -- ( GENERATING K0-ELEMENT EVENTS FROM ELEMENTS OF FIXED EVENTS BY CYCLING A DESIRED TRANSLATED HORIZONTAL DISTANCE FROM EACH PAIR OR TRIAD OF FIXED ELEMENTS ) II STAT2203 READS A FIXED BLOCK OF BMAX 2- OR 3-ELEMENT TEST EVENTS FROM STAT2203.INP AND A SEQUENCE OF IMAX K0-ELEMENT STAR EVENTS FROM BASE.INP. HIGH-PROBABILITY K0-ELEMENT EVENTS ARE GENERATED FROM STAT2203.INP BY CYCLING A DESIRED TRANSLATED HORIZONTAL DISTANCE FROM EACH PAIR OR TRIAD OF FIXED ELEMENTS SELECTED FROM THE SEQUENCE IN STAT2203.INP. 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. STAT2203 IS A VARIANT OF STAT2060 AND STAT2020, GENERATING A SET OF HIGH-PROBABILITY TEST EVENTS IN STAT2203.OUT AND STAT94.INP. MOREOVER, THE BLOCK OF K0-ELEMENT INPUT EVENTS IS 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 STAT2203.INP IN THE FORM OF STAT94.INP. CF. ALSO STAT1323, STAT1505, STAT1506, STAT1511, STAT1618 AND STAT1631. CF. STAT204 FOR GENERATION OF STAT2203.INP AS STAT94.IN2. ===================================================================== -- L 2204 -- MONITOR MATRIX GENERATOR FREQUENCY COUNTS FOR ELEMENTS IN A TEST EVENT SET XXXXXXXXXX STAT2204 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. STAT2204 IS A VARIANT OF STAT1935. THOSE TEST EVENTS ARE FILTERED AS [*]-QUALIFIED WHENEVER DELTA .GE. Q0 , WHERE DELTA = SUML - SUMR, SUML = THE LEFT CUMULATIVE SUM , AND SUMR = THE RIGHT CUMULATIVE FREQUENCY SUM OF EACH EVENT VS. THE LAST IMAX STAR EVENTS OF BASE.INP. THE PROCESS IS CYCLICALLY REPEATED VS. ALL TEST EVENTS IN STAT2204.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 2205 -- MONITOR MATRIX GENERATOR FREQUENCY COUNTS FOR ELEMENTS IN A TEST EVENT SET XXXXXXXXXXI STAT2205 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. STAT2205 IS A VARIANT OF STAT2204. THOSE TEST EVENTS ARE FILTERED AS [*]-QUALIFIED WHENEVER DELTA LIES IN THE INTERVAL , [ Q1,Q2 ] , WHERE DELTA = SUML - SUMR, Q1 AND Q2 ARE SELECTED IN REAL TIME , SUML = THE LEFT CUMULATIVE SUM , AND SUMR = THE RIGHT CUMULATIVE FREQUENCY SUM OF EACH EVENT VS. THE LAST IMAX STAR EVENTS OF BASE.INP. THE PROCESS IS CYCLICALLY REPEATED VS. ALL TEST EVENTS IN STAT2205.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 2206 -- ( FILTERING A SEQUENCE OF EVENTS FROM A LARGE SEQUENCE FOR WHICH EACH ELEMENT HAS THE SAME EVEN/ODD PARITY AS THE CORRESPONDING ELEMENT OF SUCCESSIVE EVENTS FROM A FIXED BLOCK ) XX STAT2206 READS A LARGE SEQUENCE OF K0-ELEMENT TEST EVENTS FROM STAT2206.INP, A SEQUENCE OF GMAX K0-ELEMENT PARITY EVENTS FROM STAT2206.IN2, A SEQUENCE OF K0 ELEMENT CONSTRAINT RANGES IN STAT2206.IN3, AND SEQUENCE OF IMAX STAR EVENTS FROM BASE.INP. EACH TEST EVENT FROM STAT2206.INP IS COMPARED WITH THE ELEMENTS IN CORRESPONDING COLUMNS OF STAT2206.IN2 AND THOSE EVENTS ARE FILTERED AS [*]-QUALIFIED IFF EVERY ELEMENT HAS THE SAME EVEN/ODD PARITY OF THE CORRESPONDING ELEMENT OF A PARITY EVENT IN STAT2206.IN2. ELEMENTS OF EACH COLUMN OF [*]-QUALIFYING EVENTS ARE CONSTRAINED BY A SEQUENCE OF K0 INTEGER RANGES PRE-SELECTED BY THE ANALYST. PROCESSING IS TERMINATED WHEN A DESIRED NUMBER OF EVENTS IS FILTERED. 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. STAT2206 IS A VARIANT OF STAT2190, TACITLY GENERATING A SEQUENCE OF HIGH-PROBABILITY TEST EVENTS IN STAT2206.OUT AND STAT94.INP. THE ELEMENTS OF EACH STAR EVENT IN BASE.INP ARE PRINTED AS ELEMENTS (MOD 2) IN THE FILE STAT2206.OT6 FOR FUTURE UTILIZATION AS STAT2206.IN3. THESE EVENTS ARE LISTED IN REVERSE ORDER OF INDEX : IMAX,...,3,2,1. CF. STAT2103. CF. STAT1641 FOR GENERATING STAT2206.INP IN THE FORM OF STAT94.INP. CF. ALSO STAT1323, STAT1505, STAT1506, STAT1511, STAT1618 AND STAT1631. INPUT EVENTS IN STAT2206.INP MAY BE TACITLY GENERATED BY STAT1438 AS STAT94.INP. CF. STAT2190. ===================================================================== -- L 2207 -- MONITOR MATRIX GENERATOR XXX FREQUENCY COUNTS FOR A SEQUENCE OF ELEMENTS < 1 , 2, ... , L0 > VS. A SEQUENCE OF STAR EVENTS X 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. STAT2207 IS A VARIANT OF STAT2183, 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 INDEX OF STAR EVENT (IMAX+1-M0) IS CONGRUENT TO M1 (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 IN BASE.INP. NUMBER OF ELAPSED EVENTS PER OCCURRENCE OF ELEMENT L, AND M1 IS THE DESIRED THRESHOLD VALUE FOR INDEXES: M1 (MOD KCT). STAT2207 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 SATISFYING THE CONDITION THAT THE NUMBER OF [0]"s IN THE TAIL VS. THE LAST IMAX STAR EVENTS .LE. M0, 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). STAT2207 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. STAT893, STAT894, STAT899, AND STAT933. CF. ALSO STAT2183. ===================================================================== -- L 2208 -- (RECURSIVELY TRANSLATED PERMUTATIONS GENERATED FROM A FIXED SEQUENCE) XXX STAT2208 READS A SEQUENCE OF PMAX PERMUTATIONS FROM PERM.INP, OF VARYING SIZES, CONSISTING OF UNIQUE ELEMENTS, AND GENERATES A NEW SEQUENCE OF PERMUTATIONS CONSISTING OF UNIT TRANSLATIONS OF ALTERNATING ELEMENTS OF INPUT PERMUTATIONS. THE PROCESS IS CYCLICAL. A SELECTED STAR EVENT OR SEQUENCE OF STAR EVENTS IS INTERSECTED WITH GENERATED PERMUTATIONS 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 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 PERMUTATIONS AND THE DESIRED RANGE OF SUCCESSIVE STAR EVENTS. STAT2208 IS AN HYBRID OF STAT2090 AND STAT2207, GENERATING HIGH- PROBABILITY ELEMENTS IN STAT2208.OUT AND PERM.OUT. HOWEVER, SIZES OF GENERATED PERMUTATIONS ARE RESTRICTED TO ENUM(I). CF. ALSO STAT1019. CONTINUOUS STRING K0-ELEMENT EVENTS ARE GENERATED IN STAT94.INP FOR THE K0 ELEMENTS FROM THE HEAD AND TAIL OF EACH OUTPUT PERMUTATION. ALL POSSIBLE K0-ELEMENT CONTINUOUS STRING EVENTS FROM OUTPUT PERMUTATIONS ARE GENERATED IN STAT94.IN2. THE CORRESPONDING M0-ELEMENT SUBSEQUENCE OF EACH PERMUTATION WHICH CONTAINS M0 STAR ELEMENTS IS ALSO GENERATED IN STAT2208.OUT, WHERE M0 > (K0-2). CF. STAT21 FOR GENERATING INPUT PERMUTATIONS. CF. STAT2090 AND STAT2207. ===================================================================== -- L 2209 -- ( CONSTRUCTING K0-ELEMENT EVENTS FROM SELECTED TRIADS OF ELEMENTS FROM BIPARTITE EVENTS WHOSE CORRESPONDING TRIADS ARE NON-INTERSECTING ) V STAT2209 READS A FIXED BLOCK OF BMAX K0-ELEMENT TEST EVENTS FROM STAT2209.INP, A SEQUENCE OF CMAX 3-ELEMENT COLUMN-INDEX VECTORS FROM STAT2209.IN2 ( WHOSE COMPONENTS ARE AUTOMATICALLY ADJUSTED ( MOD L0 ) , AND A SEQUENCE OF IMAX K0-ELEMENT STAR EVENTS FROM BASE.INP. K0-ELEMENT EVENTS ARE GENERATED BY SUBSTITUTION OF A PRESCRIBED SET OF ELEMENTS FOR SELECTED ELEMENTS PER EVENT IN STAT2209.INP. EACH K0-ELEMENT EVENT IS TRANSLATED BY EACH VECTOR FROM THE SEQUENCE IN STAT2209.IN2 AND THE CONSTRUCTED 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. STAT2209 IS A VARIANT OF STAT2188, TACITLY GENERATING A SEQUENCE OF HIGH-PROBABILITY TEST EVENTS IN STAT2209.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 STAT2209.INP ARE INCLUDED AS OUTPUT EVENTS. CF. STAT1649. CF. STAT1641 FOR GENERATING STAT2209.INP IN THE FORM OF STAT94.INP. CF. ALSO STAT1323, STAT1505, STAT1506, STAT1511, STAT1618 AND STAT1631. INPUT EVENTS IN STAT2209.INP MAY BE TACITLY GENERATED BY STAT1438 AS STAT94.INP. CF. STAT1438. CF. STAT204 FOR THE GENERATION OF STAT2209.INP AND CF. STAT2171 FOR THE GENERATION OF STAT2209.IN2. CF. STAT2186 FOR GENERATING STAT2209.INP AS STAT94.INP. CF. ALSO STAT1654. ===================================================================== -- L 2210 -- ( CONSTRUCTING K0-ELEMENT EVENTS FROM SELECTED TRIADS OF ELEMENTS FROM BIPARTITE EVENTS WHOSE CORRESPONDING TRIADS ARE NON-INTERSECTING ) VI STAT2210 READS A FIXED BLOCK OF BMAX K0-ELEMENT TEST EVENTS FROM STAT2210.INP, A SEQUENCE OF CMAX K0-ELEMENT COLUMN-INDEX VECTORS FROM STAT2210.IN2 ( WHOSE COMPONENTS ARE AUTOMATICALLY ADJUSTED ( MOD L0 ) , AND A SEQUENCE OF IMAX K0-ELEMENT STAR EVENTS FROM BASE.INP. K0-ELEMENT EVENTS ARE GENERATED BY SUBSTITUTION OF A PRESCRIBED SET OF ELEMENTS FOR SELECTED ELEMENTS PER EVENT IN STAT2210.INP. EACH K0-ELEMENT EVENT IS TRANSLATED BY EACH VECTOR FROM THE SEQUENCE IN STAT2210.IN2 AND THE CONSTRUCTED 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. STAT2210 IS A VARIANT OF STAT2209, TACITLY GENERATING A SEQUENCE OF HIGH-PROBABILITY TEST EVENTS IN STAT2210.OUT AND STAT94.INP. HOWEVER, K0-ELEMENT COLUMN-INDEX EVENTS ARE UTILIZED IN STAT2210.IN2, RATHER THAN MERELY 3-ELEMENT COLUMN-INDEX EVENTS, IN THE GENERATION OF OUTPUT TEST EVENTS WHICH 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 STAT2210.INP ARE INCLUDED AS OUTPUT EVENTS. CF. STAT1649. CF. STAT1641 FOR GENERATING STAT2210.INP IN THE FORM OF STAT94.INP. CF. ALSO STAT1323, STAT1505, STAT1506, STAT1511, STAT1618 AND STAT1631. INPUT EVENTS IN STAT2210.INP MAY BE TACITLY GENERATED BY STAT1438 AS STAT94.INP. CF. STAT1438. CF. STAT204 FOR THE GENERATION OF STAT2210.INP AND CF. STAT2171 FOR THE GENERATION OF STAT2210.IN2. CF. STAT2186 FOR GENERATING STAT2210.INP AS STAT94.INP. CF. ALSO STAT1654. ===================================================================== -- L 2211 -- ( CONSTRUCTING A SEQUENCE OF UNIQUE PERMUTATIONS VIA STRINGS OF ELEMENTS FROM SELECTED COLUMNS OF A FIXED BLOCK OF TEST EVENTS ) XXX STAT2211 READS A SEQUENCE OF BMAX K0-ELEMENT EVENTS FROM THE FILE STAT2211.INP AND A SEQUENCE OF IMAX K0-ELEMENT STAR EVENTS FROM BASE.INP. PERMUTATIONS OF VARIABLE SIZES ARE CONSTRUCTED FROM STAT2211.INP VIA STRINGS OF ELEMENTS FROM SELECTED COLUMNS. A SELECTED STAR EVENT OR SEQUENCE OF STAR EVENTS IS THEN INTERSECTED WITH EACH PERMUTATION FILTERED FROM THE ABOVE CYCLICAL PROCESS. THE ROUTINE FLAGS THE ELEMENTS OF A DESIRED RANGE OF STAR EVENTS AS THEY OCCUR AMONG THE ELEMENTS OF EACH 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 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. STAT2211 IS A VARIANT OF STAT2202, TACITLY GENERATING A SEQUENCE OF HIGH-PROBABILITY PERMUTATIONS IN STAT2211.OUT AND PERM.OUT. HOWEVER, PERMUATIONS OF A VARYING SIZES ARE AUTOMATICALLY GENERATED. REPETITIVE ELEMENTS ARE ALSO ELIMINATED FROM EACH GENERATED PERMUTATION. A FILE OF CUMULATIVE INDEX SETS FOR STAR ELEMENTS IN GENERATED PERMUTATIONS IS RECORDED IN INDEXSET.OUT. PERM.OUT MAY BE UTILIZED AS PERM.INP IN STAT1827 TO GENERATE ALL POSSIBLE K0-ELEMENT EVENTS FROM EACH OUTPUT PERMUTATION. CF. ALSO STAT1647. ===================================================================== -- L 2212 -- ( GENERATING K0-ELEMENT EVENTS FROM ELEMENTS OF FIXED EVENTS BY CYCLING A DESIRED TRANSLATED HORIZONTAL DISTANCE FROM EACH K0-TUPLE OF FIXED ELEMENTS ) IV STAT2212 READS A FIXED BLOCK OF BMAX K0-ELEMENT TEST EVENTS FROM STAT2212.INP AND A SEQUENCE OF IMAX K0-ELEMENT STAR EVENTS FROM BASE.INP. HIGH-PROBABILITY K0-ELEMENT EVENTS ARE GENERATED FROM STAT2212.INP BY CYLCLING A DESIRED TRANSLATED HORIZONTAL DISTANCE FROM EACH K0-TUPLE OF FIXED ELEMENTS SELECTED FROM THE SEQUENCE IN STAT2212.INP. THE ROUTINE FLAGS THE ELEMENTS OF A DESIRED RANGE OF STAR EVENTS OCCURRING 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. STAT2212 IS A VARIANT OF STAT2203 AND STAT2020, GENERATING A SET OF HIGH-PROBABILITY TEST EVENTS IN STAT2212.OUT AND STAT94.INP. MOREOVER, THE BLOCK OF K0-ELEMENT INPUT EVENTS IS 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 STAT2212.INP IN THE FORM OF STAT94.INP. CF. ALSO STAT1323, STAT1505, STAT1506, STAT1511, STAT1618 AND STAT1631. CF. STAT204 FOR GENERATION OF STAT2212.INP AS STAT94.IN2. ===================================================================== -- L 2213 -- READS A SINGLE PERMUTATION OF DESIRED SIZE FROM PERM.INP 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. STAT2213 IS A VARIANT OF STAT543, WITH EVENTS GENERATED SEQUENTIALLY FROM THE INPUT SEQUENCE OF PERMUTATIONS. CF. ALSO STAT1401 AND STAT2232, AND STAT2233. CF. STAT2075 AND STAT64 FOR THE GENERATION OF PERM.INP. ===================================================================== -- L 2214 -- ( CONSTRUCTING K0-ELEMENT EVENTS FROM EACH EVENT OF A FIXED SEQUENCE BY ADDING/SUBTRACTING THE UNIT ELEMENTS BETWEEN PAIRS OF ELEMENTS FROM SELECTED COLUMNS ) XX STAT2214 READS A FIXED BLOCK OF BMAX K0-ELEMENT TEST EVENTS FROM STAT2214.INP, A SEQUENCE OF CMAX K0-ELEMENT COLUMN-INDEX VECTORS FROM STAT2214.IN2 ( WHOSE COMPONENTS ARE AUTOMATICALLY ADJUSTED ( MOD L0 ) , AND A SEQUENCE OF IMAX K0-ELEMENT STAR EVENTS FROM BASE.INP. K0-ELEMENT EVENTS ARE CONSTRUCTED BY ADDING/SUBTRACTING THE UNIT ELEMENTS BETWEEN PAIRS OF ELEMENTS FROM SELECTED COLUMNS OF STAT2214.INP. EACH K0-ELEMENT EVENT IS DETERMINED BY VECTORS FROM THE SEQUENCE IN STAT2214.IN2 AND THE CONSTRUCTED 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. STAT2214 IS A VARIANT OF STAT2210, TACITLY GENERATING A SEQUENCE OF HIGH-PROBABILITY TEST EVENTS IN STAT2214.OUT AND STAT94.INP. HOWEVER, K0-ELEMENT COLUMN-INDEX EVENTS ARE UTILIZED IN STAT2214.IN2, RATHER THAN MERELY 3-ELEMENT COLUMN-INDEX EVENTS, IN THE GENERATION OF OUTPUT TEST EVENTS WHICH 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 STAT2214.INP ARE INCLUDED AS OUTPUT EVENTS. CF. STAT1649. CF. STAT1641 FOR GENERATING STAT2214.INP IN THE FORM OF STAT94.INP. CF. ALSO STAT1323, STAT1505, STAT1506, STAT1511, STAT1618 AND STAT1631. INPUT EVENTS IN STAT2214.INP MAY BE TACITLY GENERATED BY STAT1438 AS STAT94.INP. CF. STAT1438. CF. STAT204 FOR THE GENERATION OF STAT2214.INP AND CF. STAT2171 FOR THE GENERATION OF STAT2214.IN2. CF. STAT2186 FOR GENERATING STAT2214.INP AS STAT94.INP. CF. ALSO STAT1654. ===================================================================== -- L 2215 -- ( CONSTRUCTING K0-ELEMENT EVENTS FROM SCROLLING PAIRS U SCROLLING PAIRS U SCROLLING PAIRS OR SINGLETON COLUMN ELEMENTS OF A FIXED BLOCK OF EVENTS ) XXI STAT2215 READS A FIXED BLOCK OF BMAX K0-ELEMENT TEST EVENTS FROM STAT2215.INP, A SEQUENCE OF CMAX K0-ELEMENT TRANSLATION VECTORS FROM STAT2215.IN2, AND A SEQUENCE OF IMAX K0-ELEMENT STAR EVENTS FROM BASE.INP. K0-ELEMENT EVENTS ARE CONSTRUCTED BY SELECTING SCROLLING PAIRS U SCROLLING PAIRS U SCROLLING PAIRS OF SINGLETON COLUMN ELEMENTS FROM STAT2215.INP. EACH K0-ELEMENT EVENT IS TRANSLATED BY VECTORS FROM THE SEQUENCE IN STAT2215.IN2 AND THE TRANSLATED 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. STAT2215 IS A VARIANT OF STAT2214, TACITLY GENERATING A SEQUENCE OF HIGH-PROBABILITY TEST EVENTS IN STAT2215.OUT AND STAT94.INP. HOWEVER, K0-ELEMENT COLUMN-INDEX EVENTS ARE UTILIZED IN STAT2215.IN2, RATHER THAN MERELY 3-ELEMENT COLUMN-INDEX EVENTS, IN THE GENERATION OF OUTPUT TEST EVENTS WHICH 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 STAT2215.INP ARE INCLUDED AS OUTPUT EVENTS. CF. STAT1649. CF. STAT1641 FOR GENERATING STAT2215.INP IN THE FORM OF STAT94.INP. CF. ALSO STAT1323, STAT1505, STAT1506, STAT1511, STAT1618 AND STAT1631. INPUT EVENTS IN STAT2215.INP MAY BE TACITLY GENERATED BY STAT1438 AS STAT94.INP. CF. STAT1438. CF. STAT204 FOR THE GENERATION OF STAT2215.INP AND CF. STAT2171 FOR THE GENERATION OF STAT2215.IN2. CF. STAT2186 FOR GENERATING STAT2215.INP AS STAT94.INP. CF. ALSO STAT512, STAT1654, STAT2214. ===================================================================== -- L 2216 -- ( PREDICTING FUTURE INTERSECTIONS FOR AN EXTENDED BLOCK OF TEST EVENTS WHICH ARE READ CYCLICALLY READ FROM A FIXED INPUT FILE ) XXXXXXXXI STAT2216 READS A VERY LARGE SEQUENCE OF K0-ELEMENT EVENTS FROM STAT2216.INP, E.G., WITH BLOCK-SIZE EXCEEDING 10,000 OR MORE AND ALSO READS A SEQUENCE OF BMAX K0-ELEMENT STAR EVENTS FROM BASE.INP. CYCLICAL BMAX-EVENT BLOCKS OF K0-ELEMENT EVENTS ARE INTERSECTED WITH EACH EVENT IN THE SEQUENCE OF STAR EVENTS READ FROM FILE BASE.INP. STAT2216 IS AUTOMATICALLY TERMINATED WHEN A SEQUENCE OF TEST EVENTS IS READ WHICH QUALIFIES AS A HIGH-PROBABILITY SEQUENCE. THE ROUTINE ALSO FLAGS THE ELEMENTS OF A DESIRED RANGE OF STAR EVENTS AS THEY OCCUR AMONG THE ELEMENTS OF EACH TEST EVENT. MOREOVER, OUTPUT TEST EVENTS ARE PRINTED IN THE FILE STAT94.INP FOR FUTURE USE BY OTHER ROUTINES. MOREOVER, THE NUMBER AND PERCENTAGE OF 0's , 1's, 2's, 3's, 4's, ... , K0's ARE COMPUTED AS DETERMINED CARDINALITIES OF INTERSECTION NUMBERS BETWEEN TEST EVENTS AND EACH EVENT IN THE RANGE OF SELECTED STAR EVENTS. A CONFIGURATION MATRIX IS GENERATED WHICH INDICATES THE ELEMENTS IN COMMON BETWEEN TEST EVENTS AND THE DESIRED RANGE OF SUCCESSIVE STAR EVENTS. THE ROUTINE ALSO PREDICTS THE NEXT SUCCESSFUL INTERSECTION INDEX BETWEEN A STAR EVENT AND THE GENERATED BLOCK OF TEST EVENTS. A CYCLICALLY SELECTED BLOCK OF K0-ELEMENT OUTPUT EVENTS IS [*]- QUALIFIED IF, AND ONLY IF, IMAX .LE. ( H(II)+KCT ) .LE. IMAX+2, WHERE KCT IS THE INDEX-OCCURRENCE CADENCE OF A PRESCRIBED INTERSECTION FREQUENCY DETERMINED BY THE ALGORITHM AND H(II) IS THE IIth INDEX FOR WHICH THE PRESCRIBED INTERSECTION FREQUENCE OCCURRED, I.E., KCT IS THE CADENCE OR NUMBER OF ELAPSED STAR INDICES IN BASE.INP OVER WHICH THE FILTERING CRITERION SHOULD OCCUR , IMAX IS THE FINAL STAR EVENT INDEX, II IS THE FINAL OCCURRENCE INDEX FOR INTERSECTIONS, AND MAX IS THE LARGEST INDEX DISPLACEMENT. STAT2216 IS A VARIANT/HYBRID OF STAT2216, EXECUTING UNTIL AN EXHAUSTIVE SEARCH IS COMPLETED FOR QUALIFYING BLOCKS OF K0-ELEMENT EVENTS, MAKING STAT2216 AS TERSE AS DESIRED. STAT2216 IS ANOTHER TEST EVENT VERSION OF STAT1273, AS WELL AS A VARIANT OF STAT1268. HOWEVER, PRINTED OUTPUT IS SUPPRESSED TO ALLOW FOR EXTENSIVE PROCESSING, MAKING STAT2216 AS TERSE AS DESIRED. CF. ALSO STAT1725 FOR FILTERING [*]-QUALIFIED EVENTS IF, AND ONLY IF, THE CRITERION [ IMAX + 1 ] (MOD KCT) = EITHER 0 OR 1 IS SATISFIED. CF. ALSO STAT1799 AND STAT1800. CF. ALSO STAT2216. ===================================================================== -- L 2217 -- ( PREDICTING FUTURE INTERSECTIONS FOR AN EXTENDED BLOCK OF TEST EVENTS WHICH ARE READ CYCLICALLY READ FROM A FIXED INPUT FILE ) XXXXXXXX STAT2217 READS A VERY LARGE SEQUENCE OF K0-ELEMENT EVENTS FROM STAT2217.INP, E.G., WITH BLOCK-SIZE EXCEEDING 10,000 OR MORE AND ALSO READS A SEQUENCE OF BMAX K0-ELEMENT STAR EVENTS FROM BASE.INP. CYCLICAL BMAX-EVENT BLOCKS OF K0-ELEMENT EVENTS ARE INTERSECTED WITH EACH EVENT IN THE SEQUENCE OF STAR EVENTS READ FROM FILE BASE.INP. STAT2217 IS AUTOMATICALLY TERMINATED WHEN A SEQUENCE OF TEST EVENTS IS READ WHICH QUALIFIES AS A HIGH-PROBABILITY SEQUENCE. THE ROUTINE ALSO FLAGS THE ELEMENTS OF A DESIRED RANGE OF STAR EVENTS AS THEY OCCUR AMONG THE ELEMENTS OF EACH TEST EVENT. MOREOVER, OUTPUT TEST EVENTS ARE PRINTED IN THE FILE STAT94.INP FOR FUTURE USE BY OTHER ROUTINES. MOREOVER, THE NUMBER AND PERCENTAGE OF 0's , 1's, 2's, 3's, 4's, ... , K0's ARE COMPUTED AS DETERMINED CARDINALITIES OF INTERSECTION NUMBERS BETWEEN TEST EVENTS AND EACH EVENT IN THE RANGE OF SELECTED STAR EVENTS. A CONFIGURATION MATRIX IS GENERATED WHICH INDICATES THE ELEMENTS IN COMMON BETWEEN TEST EVENTS AND THE DESIRED RANGE OF SUCCESSIVE STAR EVENTS. THE ROUTINE ALSO PREDICTS THE NEXT SUCCESSFUL INTERSECTION INDEX BETWEEN A STAR EVENT AND THE GENERATED BLOCK OF TEST EVENTS. A CYCLICALLY SELECTED BLOCK OF K0-ELEMENT OUTPUT EVENTS IS [*]- QUALIFIED IF, AND ONLY IF, EITHER IMAX-3 .LE. H(II)+KCT .LE. IMAX+3 OR IMAX-3 .LE. H(II-1) + KCT .LE. IMAX+3 OR IMAX-3 .LE. H(II-2) + KCT .LE. IMAX+3 , WHERE KCT IS THE INDEX-OCCURRENCE CADENCE OF A PRESCRIBED INTERSECTION FREQUENCY AND H(II) IS THE IIth INDEX FOR WHICH THE PRESCRIBED INTERSECTION FREQUENCE OCCURRED, I.E., KCT IS THE CADENCE OR NUMBER OF ELAPSED STAR INDICES IN BASE.INP OVER WHICH THE FILTERING CRITERION SHOULD OCCUR , IMAX IS THE FINAL STAR EVENT INDEX, II IS THE FINAL OCCURRENCE INDEX FOR INTERSECTIONS, AND MAX IS THE LARGEST INDEX DISPLACEMENT. STAT2217 IS A VARIANT/HYBRID OF STAT1790, EXECUTING UNTIL AN EXHAUSTIVE SEARCH IS COMPLETED FOR QUALIFYING BLOCKS OF K0-ELEMENT EVENTS, MAKING STAT2217 AS TERSE AS DESIRED. STAT2217 IS ANOTHER TEST EVENT VERSION OF STAT1273, AS WELL AS A VARIANT OF STAT1268. HOWEVER, PRINTED OUTPUT IS SUPPRESSED TO ALLOW FOR EXTENSIVE PROCESSING, MAKING STAT2217 AS TERSE AS DESIRED. CF. ALSO STAT1725 FOR FILTERING [*]-QUALIFIED EVENTS IF, AND ONLY IF, THE CRITERION [ IMAX + 1 ] (MOD KCT) = EITHER 0 OR 1 IS SATISFIED. CF. ALSO STAT1799 AND STAT1800. CF. ALSO STAT1654 FOR TESTING THE PAST (AND POSSIBLE FUTURE) PERFORMANCE OF GENERATED BLOCKS OF EVENTS. ===================================================================== -- L 2218 -- ( CONSTRUCTING K0-ELEMENT EVENTS FROM A FIXED BLOCK OF K0-ELEMENT EVENTS FROM SELECTED LINEAR TRANSFORMATIONS OF THE K0 ELEMENTS OF EACH K0-ELEMENT EVENT ) XXII STAT2218 READS A FIXED BLOCK OF BMAX K0-ELEMENT TEST EVENTS FROM STAT2218.INP, A SEQUENCE OF CMAX K0-ELEMENT TRANSLATION VECTORS FROM STAT2218.IN2, AND A SEQUENCE OF IMAX K0-ELEMENT STAR EVENTS FROM BASE.INP. K0-ELEMENT EVENTS ARE CONSTRUCTED BY APPLYING LINEAR TRANSFORMATIONS TO THE K0 ELEMENTS FROM EACH K0-ELEMENT EVENT OF STAT2218.INP. EACH K0-ELEMENT EVENT IS TRANSFORMED BY VECTORS FROM THE SEQUENCE IN STAT2218.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. STAT2218 IS A VARIANT OF STAT2215, TACITLY GENERATING A SEQUENCE OF HIGH-PROBABILITY TEST EVENTS IN STAT2218.OUT AND STAT94.INP. HOWEVER, TRANSFORMATIONS OF ELEMENTS INCLUDE THE ALGEBRAIC OPERATIONS OF ADDITION, SUBTRACTION, MULTIPLICATION AND DIVISION WHEN GENERATING OUTPUT TEST EVENTS WHICH 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 STAT2218.INP ARE INCLUDED AS OUTPUT EVENTS. CF. STAT1649. CF. STAT1641 FOR GENERATING STAT2218.INP IN THE FORM OF STAT94.INP. CF. ALSO STAT1323, STAT1505, STAT1506, STAT1511, STAT1618 AND STAT1631. INPUT EVENTS IN STAT2218.INP MAY BE TACITLY GENERATED BY STAT1438 AS STAT94.INP. CF. STAT1438. CF. STAT204 FOR THE GENERATION OF STAT2218.INP AND CF. STAT2171 FOR THE GENERATION OF STAT2218.IN2. CF. STAT2186 FOR GENERATING STAT2218.INP AS STAT94.INP. CF. ALSO STAT512, STAT1654, STAT2214. THE ORDER OF OPERATIONS FOR A TYPICAL VECTOR FROM STAT2218.IN2 IS: [ C(1),C(2),C(3),C(4),C(5),C(6) ] <== [ +/- , * , +/- , / , +/- , +/- ]. ===================================================================== -- L 2219 -- ( CONSTRUCTING K0-ELEMENT EVENTS FROM A FIXED BLOCK OF K0-ELEMENT EVENTS AND TRANSFORMING SELECTED PAIRS OF ELEMENTS BY SUBTRACTING MULTIPLES OF TENS DIGITS FROM SUCH PAIRS OF ELEMENTS ) XXIV STAT2219 READS A FIXED BLOCK OF BMAX K0-ELEMENT TEST EVENTS FROM STAT2219.INP, A SEQUENCE OF CMAX K0-ELEMENT COLUMN INDEX VECTORS FROM STAT2219.IN2, AND A SEQUENCE OF IMAX K0-ELEMENT STAR EVENTS FROM BASE.INP. K0-ELEMENT EVENTS ARE CONSTRUCTED BY TRANSFORMING SELECTED PAIRS OF ELEMENTS BY SUBTRACTING MULTIPLES OF TENS DIGITS FROM STAT2219.INP. EACH K0-ELEMENT EVENT IS TRANSFORMED BY VECTORS FROM THE SEQUENCE IN STAT2219.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. STAT2219 IS A VARIANT OF STAT2218, TACITLY GENERATING A SEQUENCE OF HIGH-PROBABILITY TEST EVENTS IN STAT2219.OUT AND STAT94.INP. HOWEVER, TRANSFORMATIONS OF ELEMENTS INCLUDE THE SUBTRACTION OF MULTIPLES OF TENS DIGITS FROM SELECTED PAIRS OF ELEMENTS. OUTPUT TEST EVENTS WHICH 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 STAT2219.INP ARE INCLUDED AS OUTPUT EVENTS. CF. STAT1649. CF. STAT1641 FOR GENERATING STAT2219.INP IN THE FORM OF STAT94.INP. CF. ALSO STAT1323, STAT1505, STAT1506, STAT1511, STAT1618 AND STAT1631. INPUT EVENTS IN STAT2219.INP MAY BE TACITLY GENERATED BY STAT1438 AS STAT94.INP. CF. STAT1438. THE ELEMENTS IN EVENTS OF STAT2219.IN2 ARE AUTOMATICALL ADJUSTED (MOD K0). CF. STAT204 FOR THE GENERATION OF STAT2219.INP AND CF. STAT2171 FOR THE GENERATION OF STAT2219.IN2. CF. STAT2186 FOR GENERATING STAT2219.INP AS STAT94.INP. CF. ALSO STAT512, STAT1654, STAT2214. ===================================================================== -- L 2220 -- ( GENERATING K0-ELEMENT EVENTS BY ADDING CYCLIC ELEMENTS (MOD L0) TO NON-OVERLAPPING SUB-BLOCKS OF A LARGE BLOCK OF K0-ELEMENT EVENTS ) STAT2220 READS A LARGE BLOCK OF BMAX K0-ELEMENT TEST EVENTS FROM STAT2220.INP AND A SEQUENCE OF IMAX K0-ELEMENT STAR EVENTS FROM BASE.INP. ELEMENTS FROM THE SEQUENCE < 1, 2, ... , L0 > ARE ADDED TO EACH ELEMENT OF EACH EVENT OF A SEQUENCE OF SELECTED NON-OVERLAPPING BLOCKS OF DESIRED SIZE M0. EACH EVENT IN THE NEWLY SELECTED BLOCKS IS SUBSEQUENTLY INTERSECTED WITH EACH EVENT IN THE SEQUENCE OF STAR EVENTS READ FROM FILE BASE.INP. THE PROGRAM IS AUTOMATICALLY TERMINATED WHEN A BLOCK 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. STAT2220 FILTERS TEST EVENTS FROM STAT2220.INP INTO STAT2220.OUT AND STAT94.INP. INPUT BLOCKS FROM STAT2220.INP ARE ACCEPTED AS [*]-QUALIFIED IFF IMAX .LE. H(II)+KCT AND H(II)+KCT .LE. IMAX+2 ), WHERE H(II) IS THE INDEX OF THE FINAL STAR EVENT SATISFYING THE PRESCRIBED INTERSECTION CARDINALITY, KCT IS THE INTERSECTION OCCURRENCE CADENCE FOR QUALIFYING TEST EVENTS VS. STAR EVENTS AND IMAX IS THE INDEX OF THE FINAL STAR EVENT IN THE FILE BASE.INP. THIS PROCESS IS CYCLICALLY REPEATED OVER ALL INPUT TEST EVENTS VS. STAR EVENTS. STAT2220 IS A VARIANT OF STAT2023, STREAMLINING OUTPUT UNTIL AN EXHAUSTIVE SEARCH OVER STAT2220.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 STAT2220 WHICH GENERATES BLOCKS OF INPUT EVENTS RANDOMLY. CF. STAT2023 AND STAT2024. CF. ALSO STAT1619, WHICH IS THE PERMUTATION VERSION OF STAT2220. ===================================================================== -- L 2221 -- ( GENERATION OF HIGH-PROBABILITY SUB-PERMUTATIONS VIA PRESCRIBED SYNCOPATED SUB-STRINGS OF DESIRED LENGTHS ) I READS A SEQUENCE OF PERMUTATIONS OF SIZES UP TO 53 FROM PERM.INP, A Q0-ELEMENT PERMUTATION OF DESIRED SUB-STRING SIZES IN PERM2.INP, AND A SEQUENCE OF IMAX K0-ELEMENT STAR EVEMTS IN BASE.INP. HIGH- PROBABILITY SUB-PERMUTATIONS OF VARYING LENGTHS ARE GENERATED VIA PRESCRIBED SYNCOPATED SUB-STRINGS OF DESIRED LENGTHS. GENERATED SUB-PERMUTATIONS ARE UTILIZED IN WHEELING SYSTEMS OR OTHER ROUTINES. THIS PROCESS IS CYCLICALLY REPEATED OVER ENUM(I) ELEMENTS OF EACH PERMUTATION, GENERATING A SEQUENCE OF INDEX CADENCE CONFIGURATIONS. THE INDEX PARITY OF ELEMENTS SELECTED GOES FROM ODD TO EVEN IN ALTERNATING SUB-STRINGS. STAT2221 READS UP TO 100 INPUT PERMUTATIONS AND UP TO 600 STAR EVENTS. IT IS PRESUMED THAT THE SUB-STRING-SIZES IN PERM2.INP DIVIDE ENUM(I), FOR EACH INPUT PERMUTATION OF PERM.INP. STAT2221 IS A VARIANT OF STAT2144. ===================================================================== -- L 2222 -- ( GENERATION OF HIGH-PROBABILITY SUB-PERMUTATIONS VIA PRESCRIBED SYNCOPATED SUB-STRINGS OF DESIRED LENGTHS ) II READS A SEQUENCE OF PERMUTATIONS OF SIZES UP TO 53 FROM PERM.INP, A Q0-ELEMENT PERMUTATION OF DESIRED SUB-STRING SIZES IN PERM2.INP, AND A SEQUENCE OF IMAX K0-ELEMENT STAR EVEMTS IN BASE.INP. HIGH- PROBABILITY SUB-PERMUTATIONS OF VARYING LENGTHS ARE GENERATED VIA PRESCRIBED SYNCOPATED SUB-STRINGS OF DESIRED LENGTHS. GENERATED SUB-PERMUTATIONS ARE UTILIZED IN WHEELING SYSTEMS OR OTHER ROUTINES. THIS PROCESS IS CYCLICALLY REPEATED OVER ENUM(I) ELEMENTS OF EACH PERMUTATION, GENERATING A SEQUENCE OF INDEX CADENCE CONFIGURATIONS. THE INDEX PARITY OF ELEMENTS SELECTED GOES FROM EVEN TO ODD IN ALTERNATING SUB-STRINGS. STAT2222 READS UP TO 100 INPUT PERMUTATIONS AND UP TO 600 STAR EVENTS. IT IS PRESUMED THAT THE SUB-STRING-SIZES IN PERM2.INP DIVIDE ENUM(I), FOR EACH INPUT PERMUTATION OF PERM.INP. STAT2222 IS A VARIANT OF STAT2221. ===================================================================== -- L 2223 -- ( GENERATING ALL POSSIBLE ( n C k0 ) K0-ELEMENT EVENTS FROM EACH PERMUTATION OF A FIXED SEQUENCE VIA SCROLLING SUB-INDICES ( MOD T )) II 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. STAT2223 IS A VARIANT OF STAT543, BUT EVENTS ARE GENERATED FOR A DESIRED RANGE OF VALUES OF T IN THE EXPRESSION ( MOD T ) , ABOVE. CF. STAT64 FOR GENERATION OF PERM.INP. CF. ALSO STAT543 AND STAT1401. ===================================================================== -- L 2224 -- ( FILTERING K0-ELEMENT UNIONS OF SUB-STRINGS BASED UPON SELECTED CUT-POINTS IN SCROLLING COLUMNS OF A FIXED SEQUENCE OF EVENTS ) II READS A SEQUENCE OF LMAX K0-ELEMENT TEST EVENTS AND A SEQUENCE OF IMAX K0-ELEMENT STAR EVENTS, FILTERING THE TEST EVENTS BY WAY OF A DESIRED PIVOTAL COLUMN j IN WHICH THE (i+1)-st ELEMENT IS DISTINCT FROM THE i-th ELEMENT IN COLUMN j FOR EACH i = 1 , 2, ... , LMAX-1. UP TO 100 TEST EVENTS. THE ANALYST IS ALSO QUERIED FOR A DESIRED FINAL STAR EVENT RANGE WHOSE SUCCESSORS ARE INTERSECTED WITH EACH FILTERED TEST EVENT FOR WHICH COMMON ELEMENTS AND THEIR CARDINALITIES ARE IDENTIFIED. MAXIMUM VALUES OF LMAX AND IMAX ARE BOTH 600. INPUT EVENTS FROM STAT2224 ARE, OPTIONALLY, INCLUDED AS OUTPUT EVENTS. THE FILTERING CRITERION ALLOWS FOR THE GENERATION OF A HOMOGENEOUS SEQUENCE OF TEST EVENTS TO BE USED IN AN EXTERNAL ROUTINE, SUCH AS STAT335. THE MAXIMUM NUMBER OF EVENTS PER FILE IS 600. STAT2224 IS A VARIANT OF STAT450. PIVOTAL SUB-STRINGS ARE IDENTIFIED AND FILTERED FROM EVENTS IN UNION WITH SUB-STRINGS FROM THEIR PREDECESSORS OR SUCCESSORS AND FILTERED INTO STAT94.INP. CF. STAT450 AND STAT453. ===================================================================== -- L 2225 -- STAT2225 READS A SEQUENCE OF SUB-PERMUTATIONS IN PERM.INP ON THE ELEMENTS ( 1 --> Q0 ), REPRESENTING DESIRED NUMBERS OF ELAPSED EVENTS SINCE THE LAST OCCURRENCE (NESLO) OF SPECIFIED ELEMENTS TO BE TESTED, AND A SEQUENCE OF STAR EVENTS IN BASE.INP. STAT2225 GENERATES AND PRINTS A FREQUENCY CONFIGURATION MATRIX AND A FREQUENCY MATRIX FOR REPEAT ELEMENTS AND LONGSHOTS FOR A SEQUENCE OF EVENTS (INDICATING THE NUMBER OF TIMES EACH ELEMENT ( 1 --> L0 ) "SKIPS" BEFORE IT OCCURS AGAIN. THE ROUTINE COMPUTES AND PRINTS A "FREQUENCY CONFIGURATION MATRIX", INDICATING THE NUMBER OF EVENTS THAT EACH ELEMENT "SKIPS" BEFORE OCCURRING AGAIN. IT DETERMINES HITS FOR ELEMENTS vs. THE NUMBER OF SKIPS SINCE THE LAST HIT; THE NUMBER OF "SINGLE HITS" SINCE THE LAST "DOUBLE HIT" OVER THE LAST m EVENTS; FREQUENCIES OF LONGSHOT AND REPEAT ELEMENTS FOR A SEQUENCE OF EVENTS, AND THEIR PERCENTAGES OF OCCURRENCE; A TABLE OF SORTED SDH-Ratios (Single-To-Double-Hit Ratios); GENERATES TABLES AND SEQUENCES OF "HOT" ELEMENTS FROM BELOW-AVERAGE SDH-Ratios, FROM SINGLE HITS vs. DOUBLE HITS, AND FROM SDH-Ratios OF CONSECUTIVE HITS WITH CORRESPONDING SDH-Ratios, AVERAGES, AND RANKS WITH , e.g. , k = 49 AND m = 100 . CF. ALSO STAT55. ===================================================================== -- L 2226 -- ( FILTERING ELEMENTS FROM < 1 , ... , L0 > FOR WHICH THE NUMBER OF ELAPSED EVENTS SINCE THE LAST OCCURENCE (NESLO) IS CONGRUENT TO 0 ( MOD T ) FOR A SEQUENCE OF DESIRED VALUES FOR T ) II STAT2226 READS A SEQUENCE OF STAR EVENTS IN BASE.INP, GENERATING AND PRINTING A FREQUENCY CONFIGURATION MATRIX AND A FREQUENCY MATRIX FOR REPEAT ELEMENTS AND LONGSHOT ELEMENTS FOR A SEQUENCE OF EVENTS (INDICATING THE NUMBER OF TIMES EACH ELEMENT ( 1 --> L0 ) "SKIPS" BEFORE IT OCCURS AGAIN. THE ROUTINE COMPUTES AND PREINTS A "FREQUENCY CONFIGURATION MATRIX", INDICATING THE COMPUTED NUMBER OF EVENTS THAT EACH ELEMENT "SKIPS" BEFORE OCCURRING AGAIN. IT DETERMINES HITS FOR ELEMENTS vs. THE NUMBER OF SKIPS SINCE THE LAST HIT; THE NUMBER OF "SINGLE HITS" SINCE THE LAST "DOUBLE HIT" OVER THE LAST m EVENTS; FREQUENCIES OF LONGSHOT AND REPEAT ELEMENTS FOR A SEQUENCE OF EVENTS, AND THEIR PERCENTAGES OF OCCURRENCE; A TABLE OF SORTED SDH-Ratios (Single-To-Double-Hit Ratios); GENERATES TABLES AND SEQUENCES OF "HOT" ELEMENTS FROM BELOW-AVERAGE SDH-Ratios, FROM SINGLE HITS vs. DOUBLE HITS, AND FROM SDH-Ratios OF CONSECUTIVE HITS WITH CORRESPONDING SDH-Ratios, AVERAGES, AND RANKS WITH , e.g. , k = 49 AND m = 100 . CF. ALSO STAT55. ELEMENTS FROM < 1 , ... , L0 > ARE FILTERED FOR WHICH THE NUMBER OF ELAPSED EVENTS SINCE THE LAST OCCURENCE (NESLO) IS CONGRUENT TO 0 ( MOD T ) FOR A SEQUENCE OF DESIRED VALUES FOR T. STAT2226 IS A VARIANT OF STAT2225. ===================================================================== -- L 2227 -- ( GENERATING K0-ELEMENT EVENTS VIA THE TRANSLATION OF (K0-1) ELEMENTS OF THE FINAL EVENT OF A SEQUENCE OF STAR EVENTS BY A FIXED SEQUENCE OF (K0-1)-ELEMENT TRANSLATION VECTORS ) II STAT2227 READS A FIXED BLOCK OF BMAX (K0-1)-ELEMENT TRANSLATION VECTORS FROM STAT2227.INP AND A SEQUENCE OF IMAX K0-ELEMENT STAR EVENTS FROM BASE.INP. THE FINAL STAR EVENT IS TRANSLATED BY EACH VECTOR FROM THE SEQUENCE IN STAT2227.INP AND THE TRANSFORMED EVENTS ARE INTERSECTED WITH THE SEQUENCE OF STAR EVENTS FROM BASE.INP. THE FIRST (K0-1) ELEMENTS OF STAR EVENT NUMBER IMAX ARE TRANSLATED BY THE VECTORS IN STAT2227.INP AND THE FINAL ELEMENT IS EITHER THE QUOTIENT OR REMAINDER OF ELEMENT K0 OF EVENT # IMAX UPON DIVISION BY 10. 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. STAT2227 IS A VARIANT OF STAT2119, TACITLY GENERATING A SEQUENCE OF HIGH-PROBABILITY TEST EVENTS IN STAT2227.OUT AND STAT94.INP. ===================================================================== -- L 2228 -- ( GENERATING AND PREDICTING INTERSECTION PERFORMANCE OF K0-ELEMENT EVENTS WITH INITIAL ELEMENTS IN A DESIRED INTERVAL , [ K1,K2 ] ) II STAT2228 GENERATES A SEQUENCE OF K0-ELEMENT TEST EVENTS WITH INITIAL ELEMENTS IN A DESIRED CLOSED INTERVAL , [ K1,K2 ] , IN A CYCLICAL PATTERN. A SEQUENCE OF CMAX K0-ELEMENT TRANSLATION VECTORS FROM STAT2228.IN3 AND A SEQUENCE OF IMAX K0-ELEMENT STAR EVENTS FROM BASE.INP ARE READ. EACH K0-ELEMENT EVENT IS TRANSLATED BY EACH VECTOR FROM THE SEQUENCE IN STAT2228.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. STAT2228 IS A VARIANT OF STAT2103, TACITLY GENERATING A SEQUENCE OF HIGH-PROBABILITY TEST EVENTS IN STAT2228.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). CF. STAT1649. CF. STAT1641 FOR GENERATING STAT2228.INP IN THE FORM OF STAT94.INP. CF. ALSO STAT1323, STAT1505, STAT1506, STAT1511, STAT1618 AND STAT1631. INPUT EVENTS IN STAT2228.INP MAY BE TACITLY GENERATED BY STAT1438 AS STAT94.INP. CF. STAT1438. ===================================================================== -- L 2229 -- ( GENERATING K0-ELEMENT EVENTS BY CYCLICALLY SELECTING A TRIAD VS. A TRIAD OR PAIR OF ELEMENTS FROM BIPARTITE PAIRS OF PERMUTATIONS OF ) VARIABLE SIZES ) XXX STAT2229 READS BIPARTITE PAIRS OF Q1 AND Q2-ELEMENT PERMUTATIONS, P1 AND P2, FROM PERM.INP AND A SEQUENCE OF IMAX STAR EVENTS FROM BASE.INP. K0-ELEMENT EVENTS ARE GENERATED BY SELECTING A TRIAD OF ELEMENTS FROM P1 AND EITHER TWO OR THREE ELEMENTS FROM P2. THIS PROCESS IS CYCLICALLY REPEATED UNTIL ALL POSSIBLE EVENTS ARE GENERATED FROM THE PAIRS OF PERMUTATIONS. AN APPROPRIATE DATE IS APPENDED TO EACH GENERATED EVENT AND THE APPENDED BLOCK IS PRINTED AS BASE2.INP FOR USAGE IN STAT105 TO DETERMINED EVENTS ON A SPECFIED DATE HAVING PRESCRIBED INTERSECTIONS. K0-ELEMENT EVENTS OF A DESIRED BLOCK-SIZE 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. STAT2229 IS A VARIANT OF STAT2112, TACITLY GENERATING A SEQUENCE OF HIGH-PROBABILITY TEST EVENTS IN STAT2229.OUT AND STAT94.INP. GENERATED EVENTS ARE FILTERED BY SELECTING ONLY THOSE TEST EVENTS FROM THE SEQUENCE WITH INDICES WHICH ARE CONGRUENT TO AN ELEMENT OF A DESIRED INTEGRAL VECTOR SELECTED BY THE ANALYST, I.E., < M1, M2, M3, M4, ... , M10 > ( MOD T) , FOR SOME DESIRED INTEGER T AND SOME DESIRED SEQUENCE OF POSITIVE INTEGERS : M1, M2, M3, M4, M5, M6,M7, M8, M9, AND M10 (NOT NECESSARILY DISTINCT). PERM.OUT FROM STAT1262 MAY BE UTILIZED AS PERM.INP IN STAT2070. CF. STAT1649. CF. STAT2056 FOR GENERATING STAT2229.INP IN THE FORM OF STAT94.INP. CF. ALSO STAT1323, STAT1505, STAT1506, STAT1511, STAT1618 AND STAT1631. CF. STAT2023 OR STAT2024 FOR GENERATING STAT2229.INP. THE ANALYST IS ALSO PROMPTED TO APPEND A DESIRED FIXED OR CURRENT DATE TO EACH EVENT OF THE ORIGINAL INPUT BLOCK. CF. ALSO STAT2112, STAT2089 AND STAT2094. ===================================================================== -- L 2230 -- ( RANKING ELEMENTS FROM < 1, ... , L0 > IN ASCENDING ORDER OF MEAN INDEX POSITION OF EACH ELEMENT OVER SELECTED FEATURES OF PMAX PERMUTATIONS ) STAT2230 READS A SEQUENCE OF PMAX PERMUTATIONS ON < 1, ... , L0 > FROM PERM.INP, WITH ELEMENTS IN EACH PERMUTATION PRESUMED TO BE RANKED IN ASCENDING ORDER OF SOME PRESCRIBED CRITERION OVER THE PAST IMAX STAR EVENTS. THE ROUTINE THEN DETERMINES THE MEAN OR AVERAGE INDEX POSITION OF EACH ELEMENT L FROM < 1, ... , L0 > AND RANKS THE L0 ELEMENTS IN ASCENDING ORDER OF MEAN INDEX POSITIONS OVER THE PMAX PERMUTATIONS. STAT2230 IS A VARIANT OF STAT292. NON-REPEATING ELEMENTS ARE SELECTED FROM EACH Q0-ELEMENT STRING FROM THE HEAD OF EACH INPUT PERMUTATION OF PERM.INP AND CAPTURED IN PERM2.OUT. AN OUTPUT PERMUTATION BASED UPON SELECTED INDICES IS RECORDED IN PERM3.OUT. ===================================================================== -- L 2231 -- ( GENERATING AND PREDICTING INTERSECTION PERFORMANCE OF K0-ELEMENT EVENTS GENERATED FROM COORDINATE VECTORS WITH COMPONENTS TACITLY MULTIPLIED BY THE PRECRIBED FACTORS 1/2 AND 2 ) IV STAT2231 READS A SEQUENCE OF K0-ELEMENT COORDINATE VECTORS FROM STAT2231.INP, A SEQUENCE OF CMAX K0-ELEMENT TRANSLATION VECTORS FROM STAT2231.IN2 AND A SEQUENCE OF IMAX K0-ELEMENT STAR EVENTS FROM BASE.INP. THE FIRST TWO COMPONENTS OF EACH COORDINATE VECTOR ARE MULTIPLIED BY 1/2 AND THE REMAINING (K0-2) COMPONENTS ARE MULTIPLIED BY 2. EACH GENERATED K0-ELEMENT EVENT IS TRANSLATED BY EACH VECTOR FROM THE SEQUENCE IN STAT2231.IN2 AND THE TRANSLATED 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. STAT2231 IS A VARIANT OF STAT2228, TACITLY GENERATING A SEQUENCE OF HIGH-PROBABILITY TEST EVENTS IN STAT2231.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). CF. STAT1649. CF. STAT1641 FOR GENERATING STAT2231.INP IN THE FORM OF STAT94.INP. CF. ALSO STAT1323, STAT1505, STAT1506, STAT1511, STAT1618 AND STAT1631 AND STAT2228. ===================================================================== -- L 2232 -- ( RE-FORMATTING A FILE CONTAINING ELEMENTS IN < 1 , ... , L0 > AS A PERMUTATION WITH HEADER ) V READS A FILE CONTAINING ELEMENTS IN < 1 , ... , L0 > AND REFORMATS THE FILE AS A PERMUTATION WITH HEADER INDICATING THE NUMBER OF ELEMENTS, L0. A CUMULATIVE FILE OF SUCH PERMUTATIONS IS TACITLY CAPTURED IN PERM.OUT FOR FURTHER PROCESSING IN STAT2230 OR ANOTHER ROUTINE. A SELECTED K0-ELEMENT EVENT IS INTERSECTED WITH EACH PERMUTATION OF PERM.OUT AND RECORDED IN STAT2232.OUT. THE INPUT FILE IS READ AS A SEQUENCE OF BLOCKS CONSISTING OF L0 ROWS PER BLOCK. ===================================================================== -- L 2233 -- ( DETERMINING AN EXPECTED OR LIKELY TYPE-CONFIGURATION FOR THE K0-ELEMENTS OF THE NEXT STAR EVENT IN TERMS ELEMENTS AT OR EXCEEDING CORRESPONDING ELEMENTS OF A MODULUS THRESHOLD VECTOR , < V1,V2,V3,...,VK0 > VI STAT2333 READS A SEQUENCE OF IMAX STAR EVENTS ON THE ELEMENTS ON THE ELEMENTS L IN < 1, 2, ... , L0 > FROM BASE.INP , A SEQUENCE OF BMAX K0-ELEMENT EVENTS IN STAT2333.INP, AND A SEQUENCE OF CMAX K0-ELEMENT MODULI THRESHOLD VECTORS IN STAT2333.IN2, GENERATING AN ARRAY OF TYPE-CONFIGURATIONS OVER EACH ONE OF THE K0 COLUMNS OF THE LAST IMAX STAR EVENTS PREVIOUSLY RECORDED AND READ FROM BASE.INP. A FREQUENCY CADENCE ( 1 / K ) IS DETERMINED FROM ELEMENTS IN EACH OF THE K0 COLUMNS, GENERATING AN EXPECTED TYPE-CONFIGURATION FOR THE K0 ELEMENTS OF THE SUCCESSIVE STAR EVENT WITH INDEX (IMAX+1). STAT2333 READS UP TO 400 STAR EVENTS IN BASE.INP. CF. ALSO STAT2269, STAT2270, STAT2271, STAT2272, STAT2273, STAT2274, STAT2298, STAT2299, STAT2300, STAT2301 AND STAT2303. A CUMULATIVE FILE OF QUALIFYERS IS GENERATED INTO CUMULAT.OUT. CF. STAT2299 FOR THE GENERATION OF INPUT FILE STAT2333.INP. STAT2333 IS A VARIANT OF STAT2302 AND FILTERS EVENTS FROM STAT2333.INP FOR WHICH ALL K0 ELEMENTS SATISFY MINIMUM MODULI THRESHOLDS FOR QUALIFYING VECTORS FROM STAT2333.IN2. ===================================================================== -- L 2234 -- ( GENERATING K0 FILES FROM THE K0 COLUMNS OF A STAR EVENT SEQUENCE CONSISTING OF IMAX ELEMENTS PER COLUMN TO SERVE AS INPUT FILES FOR TIME SERIES ANALYSIS OR MINIMIM NORM LEAST SQUARES FITS FOR INTERPOLATING POLYNOMIALS ) STAT2234 READS A SET OF UP TO 1000 STAR EVENTS AND GENERATES A SET K0 FILES FROM THE K0 COLUMNS OF A STAR EVENT SEQUENCE CONSISTING OF IMAX ELEMENTS PER COLUMN TO SERVE AS INPUT FILES FOR EITHER TIME SERIES ANALYSIS OR MINIMIM NORM LEAST SQUARE FITS FOR INTERPOLATING POLYNOMIALS IN ANOTHER ROUTINE SELECTED BY THE ANALYST. AND RECORDS THEM IN STAT2234.IN1 , STAT2234.IN2, STAT2234.IN3, STAT2234.IN4, STAT2234.IN5, AND STAT2234.IN6 FOR FURTHER PROCESSING. ===================================================================== -- L 2235 -- ( COMPUTING A FUNCTIONAL RESPONSE VALUE Y0 OF A PRESCRIBED PREDICTOR VALUE X0 , WHERE Y0 = P(X0) , FROM THE GIVEN COEFFICIENTS OF A SPECIFIED LINEAR, QUADRATIC, CUBIC OR N-th DEGREE INTERPOLATING POLYNOMIAL, P(X) , WITH N .LE. 10 ) I STAT2235 READS A SPECIFIC PREDICTOR VARIABLE, X0, THE DEGREE, N, AND THE CORRESPONDING ( N+1 ) COEFFICIENTS OF A DESIRED INTERPOLATING POLYNOMIAL, P(X), AND COMPUTES THE PREDICTED RESPONSE, P(X0), FOR TIME SERIES ANALYSIS OR MINIMIM NORM LEAST SQUARE FITS FOR THE INTERPOLATING POLYNOMIAL. CF. STAT2234 AND MS EXCEL FOR GENERATING THE REQUISITE COEFFICIENTS. STAT2235 PROCESSES PARAMETERS FOR POLYNOMIALS HAVING DEGREES .LE. 10. A CUMULATIVE FILE OF COMPUTED RESPONSE VALUES , < Y0 > , IS RECORDED IN STAT2235.OT2. CF. ALSO STAT2236. ===================================================================== -- L 2236 -- ( COMPUTING A FUNCTIONAL RESPONSE VALUE Y0 OF A PRESCRIBED PREDICTOR VALUE X0 , WHERE Y0 = P(X0) , FROM THE GIVEN COEFFICIENTS OF A SPECIFIED LINEAR, QUADRATIC, CUBIC OR N-th DEGREE INTERPOLATING POLYNOMIAL, P(X) , WITH N .LE. 10 ) II STAT2236 READS A SPECIFIC PREDICTOR VARIABLE, X0, THE DEGREE, N, AND THE CORRESPONDING ( N+1 ) COEFFICIENTS OF A DESIRED INTERPOLATING POLYNOMIAL, P(X), AND COMPUTES THE PREDICTED RESPONSE, P( X0 ) , FOR TIME SERIES ANALYSIS OR MINIMIM NORM LEAST SQUARES FITS FOR THE INTERPOLATING POLYNOMIAL. CF. STAT2234 AND MS EXCEL FOR GENERATING THE REQUISITE COEFFICIENTS. STAT2236 PROCESSES PARAMETERS FOR POLYNOMIALS HAVING DEGREES .LE. 10. A CUMULATIVE FILE OF COMPUTED RESPONSE VALUES , < Y0 > , IS RECORDED IN CUMULAT.OUT. THE ROUTINE STAT2236 IS A VARIANT OF STAT2235. HOWEVER, A SEQUENCE OF INPUT COEFFICIENTS FOR A SEQUENCE OF INTERPOLATING POLYNOMIALS IS READ FROM FILE STAT2236.INP, RATHER THAN BEING SUBMITTED FOR A SINGLE POLYNOMIAL BY THE ANALYST IN REAL-TIME. THIS ALLOWS FOR THE GENERATION OF PREDICTED RESPONSES FOR A SEQUENCE OF INTERPOLATING POLYNOMIALS, E.G., OVER THE K0 COLUMNS OF STAR EVENTS IN BASE.INP. THE INPUT COEFFICIENTS OF STAT2236.INP ARE EXPECTED TO BE LISTED IN DESCENDING ORDER OF THE CORRESPONDING POWERS OF X0. CF. ALSO STAT2235. A PERMUTATION OF MTC UNIQUE QUALIFYING RESPONSES , P( X0 ) , FOR THE CURRENT EXECUTION IS RECORDED IN THE FILE PERM.INP FOR FURTHER PERMUTATION ANALYSIS, IN STAT543, FOR EXAMPLE. ===================================================================== -- L 2237 -- ( COMPUTING A FUNCTIONAL RESPONSE VALUE Y0 OF A PRESCRIBED PREDICTOR VALUE X0 , WHERE Y0 = P(X0) IS THE LAGRANGE FORM OF THE GENERAL Nth DEGREE INTERPOLATING POLYNOMIAL PASSING THROUGH THE LAST (N+1) POINTS IN { Xi,Yi } , WHERE Yi = F(Xi) ) III STAT2237 READS A SPECIFIC PREDICTOR VARIABLE, X0, THE DEGREE, N, AND THE CORRESPONDING ( N+1 ) ORDERED PAIRS in { (Xi,Yi) } , WHERE Yi = F(Xi) AND THE < Xi > ARE PRESUMED TO BE DISTINCT . THE LAGRANGE FORM , P(X) , OF THE Nth DEGREE INTERPOLATING POLYNOMIAL IS GENERATED AND THE ROUTINE TACITLY COMPUTES THE PREDICTED RESPONSE, P( X0 ) . THE POLYNOMIAL, P(X), SERVES AS THE MINIMUM NORM LEAST SQUARES FIT INTERPOLATING POLYNOMIAL. A CUMULATIVE FILE OF COMPUTED RESPONSE VALUES , < Y0 > , IS RECORDED IN CUMULAT.OUT. THE ROUTINE STAT2237 IS A VARIANT OF STAT2238. HOWEVER, A SEQUENCE OF INPUT PAIRS IS READ FROM FILE STAT2237.INP, RATHER THAN BEING READ AS SINGLE FUNCTIONAL VALUES WITH IMPLICIT DOMAIN INDICES AS IN STAT2238. THIS ALLOWS FOR THE GENERATION OF PREDICTED RESPONSES FOR A SEQUENCE OF INTERPOLATING POLYNOMIALS, E.G., OVER THE K0 COLUMNS OF STAR EVENTS IN BASE.INP. THE INPUT COEFFICIENTS OF STAT2237.INP ARE EXPECTED TO BE LISTED IN DESCENDING ORDER OF THE CORRESPONDING POWERS OF X0. CF. ALSO STAT2235. A PERMUTATION OF MTC UNIQUE QUALIFYING RESPONSES , P( X0 ) , FOR THE CURRENT EXECUTION IS RECORDED IN THE FILE PERM.INP FOR FURTHER PERMUTATION ANALYSIS, IN STAT543, FOR EXAMPLE. CF. STAT2234, STAT2235, STAT2236, AND STAT2238. ===================================================================== -- L 2238 -- ( CALCULATION OF THE NEWTON FORM FOR THE POLYNOMIAL OF DEGREE .LE. N, WHICH INTERPOLATES F(X) AT Y(i),i = 1,...,NP1 , NAMELY , THE GENERAL Nth DEGREE INTERPOLATING POLYNOMIAL PASSING THROUGH THE LAST (N+1) POINTS IN { Yi,Fi } , WHERE Yi = F(Yi) ) IV STAT2238 READS A SEQUENCE OF CMAX K0-ELEMENT TRANSLATION EVENTS FROM STAT2238.IN2, A SPECIFIC PREDICTOR VARIABLE, X0, THE DEGREE, N, AND THE CORRESPONDING ( N+1 ) ORDERED PAIRS, { (Yi,Fi) } IN STAT2238.INP, Fi = F(Yi) AND THE < Xi > , NOT NECESSARILY DISTINCT. THE NEWTON FORM , P(X) , OF THE Nth DEGREE INTERPOLATING POLYNOMIAL IS GENERATED AND THE ROUTINE TACITLY COMPUTES THE PREDICTED RESPONSE, P( X0 ) . THE POLYNOMIAL, P(X), SERVES AS THE MINIMUM NORM LEAST SQUARES FIT INTERPOLATING POLYNOMIAL, SUBJECT TO THE FOLLOWING RESTRICTIONS: (1) IF Y(I) = Y(I+K), THEN Y(I) = Y(I+J), J = 1, ... , K AND (2) IF ALSO Y(I-1) .NE. Y(I), OR IF I = 1, THEN F(I+J) = THE VALUE OF THE Jth DERIVATIVE OF F(X) AT X = Y(I), J = 0 ... , K. STAT2238 IS A VARIANT OF STAT2239. CF. ALSO STAT2234, STAT2235, STAT2236, AND STAT2239. STAT2238 IS ADAPTED FROM CONTE and DeBOOR, ELEMENTARY NUMERICAL ANALYSIS: AN ALGORITHMIC APPROACH. A CUMULATIVE FILE OF COMPUTED RESPONSE VALUES , < Y0 > , OVER K0 COLUMNS OF STAR EVENTS IS RECORDED IN CUMULAT.OUT. CF. ALSO STAT2235 AND STAT2236. EVENTS FOR STAT2238.INP ARE AUTOMATICALLY GENERATED FROM BASE.INP. EACT K0-ELEMENT PREDICTED VECTOR IS TRANSLATED BY THE CMAX K0-ELEMENT VECTORS OF STAT2238.IN2 TO GENERATE HIGH-PROBABILITY K0-ELEMENT EVENTS IN STAT94.INP. CF. ALSO STAT2241 AND STAT2244. ===================================================================== -- L 2239 -- ( COMPUTING A FUNCTIONAL RESPONSE VALUE Y0 OF A PRESCRIBED PREDICTOR VALUE X0 , WHERE Y0 = P(X0) IS THE LAGRANGE FORM OF THE GENERAL Nth DEGREE INTERPOLATING POLYNOMIAL PASSING THROUGH THE LAST (N+1) POINTS IN { Xi,Yi } , WHERE Yi = F(Xi) ) V STAT2239 READS A SPECIFIC PREDICTOR VARIABLE, X0, THE DEGREE, N .LE. 10, THE CORRESPONDING ( N+1 ) ORDERED PAIRS in { (Xi,Yi) } , WHERE Yi = F(Xi) AND THE < Xi > ARE PRESUMED TO BE DISTINCT . THE LAGRANGE FORM , P(X) , OF THE Nth DEGREE INTERPOLATING POLYNOMIAL IS GENERATED AND THE ROUTINE TACITLY COMPUTES THE PREDICTED RESPONSE, P( X0 ) . THE POLYNOMIAL, P(X), SERVES AS THE MINIMUM NORM LEAST SQUARES FIT INTERPOLATING POLYNOMIAL. A CUMULATIVE FILE OF COMPUTED RESPONSE VALUES , < Y0 > , IS RECORDED IN CUMULAT.OUT. THE ROUTINE STAT2239 IS A VARIANT OF STAT2239. HOWEVER, A SEQUENCE OF INPUT PAIRS IS READ FROM FILE STAT2239.INP, RATHER THAN BEING READ AS SINGLE FUNCTIONAL VALUES WITH IMPLICIT DOMAIN INDICES AS IN STAT2237. THIS ALLOWS FOR THE GENERATION OF PREDICTED RESPONSES FOR A SEQUENCE OF INTERPOLATING POLYNOMIALS, E.G., OVER THE K0 COLUMNS OF STAR EVENTS IN BASE.INP. THE INPUT COEFFICIENTS OF STAT2239.INP ARE EXPECTED TO BE LISTED IN DESCENDING ORDER OF THE CORRESPONDING POWERS OF X0. CF. ALSO STAT2235. A PERMUTATION OF MTC UNIQUE QUALIFYING RESPONSES , P( X0 ) , FOR THE CURRENT EXECUTION IS RECORDED IN THE FILE PERM.INP FOR FURTHER PERMUTATION ANALYSIS, IN STAT543, FOR EXAMPLE. CF. STAT2234, STAT2235, STAT2236, AND STAT2239. ===================================================================== -- L 2240 -- ( GENERATING Q0-ELEMENT PERMUTATIONS ( BMAX x K0 )-DIMENSIONAL BLOCKS OF EVENTS AND GENERATING RELATED PERMUTATIONS VIA PRESCRIBED ELEMENT TRANSLATIONS OVER SELECTED COLUMNS ) VI STAT2240 READS A ( BMAX x K0 )-DIMENSIONAL BLOCK OF EVENTS FROM STAT2240.INP, SELECTING NON-REPEATING ELEMENTS FROM THE BLOCK TO GENERATE A Q0-ELEMENT PERMUTATION FOR FURTHER PROCESSING. MOREOVER, PRESCRIBED INTEGER-VALUED TRANSLATES ARE ADDED TO OR SUBTRACTED FROM PRESCRIBED SUB-STRINGS OF EACH GENERATED PERMUTATION TO GENERATE A NEW SEQUENCE OF PERMUTATIONS. SUB-PERMUTATIONS ARE ALSO SELECTED FROM THE HEAD, MIDDLE, AND TAIL OF EACH OUTPUT PERMUTATION. PERM.OUT RECORDS NON-REPEATING ELEMENTS FROM THE ( BMAX x K0) BLOCK. PERM2.OUT CONTAINS A RE-ARRANGEMENT OF THE ELEMENTS FROM PERM.OUT. PERM4.OUT CONTAINS ELEMENTS FROM THE UNION OF THE TAILS, WHILE PERM3 CONTAINS ELEMENTS FROM THE MIDDLE OF GENERATED PERMUTATIONS. STAT2240 IS A VARIANT OF STAT2251. ===================================================================== -- L 2241 -- ( CALCULATION OF THE NEWTON FORM FOR THE POLYNOMIAL OF DEGREE .LE. N, WHICH INTERPOLATES F(X) AT Y(i),i = 1,...,NP1 , NAMELY , THE GENERAL Nth DEGREE INTERPOLATING POLYNOMIAL PASSING THROUGH THE LAST (N+1) POINTS IN { Yi,Fi } , WHERE Yi = F(Yi) ) VI STAT2241 READS A SEQUENCE OF CMAX K0-ELEMENT TRANSLATION EVENTS FROM STAT2241.IN2, A SEQUENCE OF NPOINT INDICES AND INCREMENTS, DX , FROM STAT2241.IN3, A SPECIFIC PREDICTOR VARIABLE, X0, THE DEGREE, N, AND THE CORRESPONDING ( N+1 ) ORDERED PAIRS, { (Yi,Fi) } IN STAT2241.INP, Fi = F(Yi) AND THE < Xi > , NOT NECESSARILY DISTINCT. THE NEWTON FORM , P(X) , OF THE Nth DEGREE INTERPOLATING POLYNOMIAL IS GENERATED AND THE ROUTINE TACITLY COMPUTES THE PREDICTED RESPONSE, P( X0 ) . THE POLYNOMIAL, P(X), SERVES AS THE MINIMUM NORM LEAST SQUARES FIT INTERPOLATING POLYNOMIAL, SUBJECT TO THE FOLLOWING RESTRICTIONS: (1) IF Y(I) = Y(I+K), THEN Y(I) = Y(I+J), J = 1, ... , K AND (2) IF ALSO Y(I-1) .NE. Y(I), OR IF I = 1, THEN F(I+J) = THE VALUE OF THE Jth DERIVATIVE OF F(X) AT X = Y(I), J = 0 ... , K. STAT2241 IS A VARIANT OF STAT2238. CF. ALSO STAT2234, STAT2235, STAT2236, AND STAT2239. STAT2241 IS ADAPTED FROM CONTE AND DeBOOR, ELEMENTARY NUMERICAL ANALYSIS: AN ALGORITHMIC APPROACH. A CUMULATIVE FILE OF COMPUTED RESPONSE VALUES , < Y0 > , OVER K0 COLUMNS OF STAR EVENTS IS RECORDED IN STAT2235.OT2. CF. ALSO STAT2235 AND STAT2236. EVENTS FOR STAT2241.INP ARE AUTOMATICALLY GENERATED FROM BASE.INP. EACH K0-ELEMENT PREDICTED VECTOR IS TRANSLATED BY THE CMAX K0-ELEMENT VECTORS OF STAT2241.IN2 TO GENERATE HIGH-PROBABILITY K0-ELEMENT EVENTS IN STAT94.INP. STAT2241 FOLLOWS CONTE AND DeBOOR's TREATMENT MORE DIRECTLY THAN DOES STAT2238. READ(5,101) NPOINT,X,DX FROM STAT2241.IN3, (FORMAT: I3,(2F10.3)). ===================================================================== -- L 2242 -- ( TRANSLATING AND PREDICTING INTERSECTION PERFORMANCE OF EACH EVENT OF A FIXED BLOCK OF K0-ELEMENT EVENTS ) II STAT2242 READS A FIXED BLOCK OF BMAX K0-ELEMENT TEST EVENTS FROM STAT2242.INP, A SEQUENCE OF CMAX 2-ELEMENT TRANSLATION VECTORS FROM STAT2242.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 STAT2242.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. STAT2242 IS A VARIANT OF STAT2064, TACITLY GENERATING A SEQUENCE OF HIGH-PROBABILITY TEST EVENTS IN STAT2242.OUT AND STAT94.INP. HOWEVER, THE BLOCK OF K0-ELEMENT INPUT EVENTS IS TRANSLATED BY 2-ELEMENT VECTORS, RATHER THAN K0-ELEMENT VECOTRS. 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 STAT2242.INP ARE INCLUDED AS OUTPUT EVENTS ARE FILTERED. CF. STAT1641 FOR GENERATING STAT2242.INP IN THE FORM OF STAT94.INP. CF. ALSO STAT1323, STAT1505, STAT1506, STAT1511, STAT1618, STAT1631 AND STAT2064. INPUT EVENTS IN STAT2242.INP MAY BE TACITLY GENERATED BY STAT1438 AS STAT94.INP. CF. STAT1438. CF. STAT204 FOR THE GENERATION OF STAT2242.INP AND CF. STAT2171 FOR THE GENERATION OF STAT2242.IN2. CF. STAT2239 FOR THE GENERATION OF CUMULAT.OUT TO BE UTILIZED AS STAT2242.INP. THE MIDDLE ONE OR TWO ELEMENTS OF EACH INPUT EVENT OF STAT2242.INP SERVE AS FIXED PIVOTS AND PAIRS OF ELEMENTS FROM STAT2242.IN2 ARE ADDED TO THE REMAINING PAIRS OF ELEMENTS FROM THE HEAD AND TAIL OF EACH INPUT EVENT. ===================================================================== -- L 2243 -- ( COMPUTING A FUNCTIONAL RESPONSE VALUE Y0 OF A PRESCRIBED PREDICTOR VALUE X0 , WHERE Y0 = P(X0) IS THE LAGRANGE FORM OF THE GENERAL Nth DEGREE INTERPOLATING POLYNOMIAL PASSING THROUGH THE LAST (N+1) POINTS IN { Xi,Yi } , WHERE Yi = F(Xi) ) VII STAT2243 READS A SPECIFIC PREDICTOR VARIABLE, X0, THE DEGREE, N .LE. 10, AND THE CORRESPONDING ( N+1 ) ORDERED PAIRS in { (Xi,Yi) } , WHERE Yi = F(Xi) AND THE < Xi > ARE PRESUMED TO BE DISTINCT . THE LAGRANGE FORM , P(X) , OF THE Nth DEGREE INTERPOLATING POLYNOMIAL IS GENERATED AND THE ROUTINE TACITLY COMPUTES THE PREDICTED RESPONSE, P( X0 ) . THE POLYNOMIAL, P(X), SERVES AS THE MINIMUM NORM LEAST SQUARES FIT INTERPOLATING POLYNOMIAL. A CUMULATIVE FILE OF COMPUTED RESPONSE VALUES , < Y0 > , IS RECORDED IN CUMULAT.OUT. THE ROUTINE STAT2243 IS A VARIANT OF STAT2239. HOWEVER, A QUADRUPLE OF TRANSLATION ELEMENTS IS ENTERED IN REAL TIME, RATHER THAN A PAIR OF TRANSLATION ELEMENTS, TO PAIRS OF ELEMENTS IN THE HEAD AND TAIL OF EVENTS. THIS ALLOWS FOR THE GENERATION OF PREDICTED RESPONSES FOR A SEQUENCE OF INTERPOLATING POLYNOMIALS, E.G., OVER THE K0 COLUMNS OF STAR EVENTS IN BASE.INP. THE INPUT COEFFICIENTS OF STAT2243.INP ARE EXPECTED TO BE LISTED IN DESCENDING ORDER OF THE CORRESPONDING POWERS OF X0. CF. ALSO STAT2235. A PERMUTATION OF MTC UNIQUE QUALIFYING RESPONSES , P( X0 ) , FOR THE CURRENT EXECUTION IS RECORDED IN THE FILE PERM.INP FOR FURTHER PERMUTATION ANALYSIS, IN STAT543, FOR EXAMPLE. CF. STAT2234, STAT2235, STAT2236, AND STAT2239. ===================================================================== -- L 2244 -- ( CALCULATION OF THE NEWTON FORM FOR THE POLYNOMIAL OF DEGREE .LE. N, WHICH INTERPOLATES F(X) AT Y(i),i = 1,...,NP1 , WHERE N+1 ASSUMES A RANGE OF VALUES IN A DESIRED INTERVAL, [ Q0,Q1 ], WITH THE GENERAL Nth DEGREE INTERPOLATING POLYNOMIAL PASSING THROUGH THE LAST (N+1) POINTS IN { Yi,Fi } , WHERE Yi = F(Yi) ) VIII STAT2244 READS A SEQUENCE OF CMAX K0-ELEMENT TRANSLATION EVENTS FROM STAT2244.IN2, A SPECIFIC PREDICTOR VARIABLE, X0, THE DEGREE, N, AND THE CORRESPONDING (N+1=NP1) ORDERED PAIRS, { (Yi,Fi) } IN STAT2244.INP, Fi = F(Yi) AND THE < Xi > , NOT NECESSARILY DISTINCT. THE NEWTON FORM , P(X) , OF THE Nth DEGREE INTERPOLATING POLYNOMIAL IS GENERATED AND THE ROUTINE TACITLY COMPUTES THE PREDICTED RESPONSE, P( X0 ) . THE POLYNOMIAL, P(X), SERVES AS THE MINIMUM NORM LEAST SQUARES FIT INTERPOLATING POLYNOMIAL, SUBJECT TO THE FOLLOWING RESTRICTIONS: (1) IF Y(I) = Y(I+K), THEN Y(I) = Y(I+J), J = 1, ... , K AND (2) IF ALSO Y(I-1) .NE. Y(I), OR IF I = 1, THEN F(I+J) = THE VALUE OF THE Jth DERIVATIVE OF F(X) AT X = Y(I), J = 0 ... , K. STAT2244 IS A VARIANT OF STAT2238. HOWEVER, BLOCKS ARE PROCESSED CYCLICALLY FOR NP1 IN THE RANGE [Q0,Q1]. CF. ALSO STAT2234, STAT2235, STAT2236, AND STAT2238. STAT2244 IS ADAPTED FROM CONTE and DeBOOR, ELEMENTARY NUMERICAL ANALYSIS: AN ALGORITHMIC APPROACH. A CUMULATIVE FILE OF COMPUTED RESPONSE VALUES , < Y0 > , OVER K0 COLUMNS OF STAR EVENTS IS RECORDED IN CUMULAT.OUT. CF. ALSO STAT2235 AND STAT2236. EVENTS FOR STAT2244.INP ARE AUTOMATICALLY GENERATED FROM BASE.INP. EACH K0-ELEMENT PREDICTED VECTOR IS TRANSLATED BY THE CMAX K0-ELEMENT VECTORS OF STAT2244.IN2 TO GENERATE HIGH-PROBABILITY K0-ELEMENT EVENTS IN STAT94.INP. CF. ALSO STAT2238 AND STAT2241. ===================================================================== -- L 2245 -- ( GENERATING K0-ELEMENT EVENTS FROM ELEMENTS OF A FIXED BLOCK OF EVENTS VIA SCROLLING ROWS FROM SELECTED UNIONS OF COLUMNS ) X STAT2245 READS A FIXED BLOCK OF BMAX K0-ELEMENT TEST EVENTS FROM STAT2245.INP AND A SEQUENCE OF IMAX K0-ELEMENT STAR EVENTS FROM BASE.INP. HIGH-PROBABILITY K0-ELEMENT EVENTS ARE GENERATED FROM STAT2245.INP VIA SCROLLING ROWS FROM SELECTED UNIONS OF COLUMNS. 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. STAT2245 IS A VARIANT OF STAT2107 AND STAT2020, GENERATING A SET OF HIGH-PROBABILITY TEST EVENTS IN STAT2245.OUT AND STAT94.INP. MOREOVER, THE BLOCK OF K0-ELEMENT INPUT EVENTS IS 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 STAT2245.INP IN THE FORM OF STAT94.INP. CF. ALSO STAT1323, STAT1505, STAT1506, STAT1511, STAT1618, AND STAT1631. CF. STAT2107, STAT2024, AND STAT2025. ===================================================================== -- L 2246 -- ( CALCULATION OF THE NEWTON FORM FOR THE POLYNOMIAL OF DEGREE .LE. N, WHICH INTERPOLATES F(X) AT Y(i),i = 1,...,NP1 , WHERE N+1 ASSUMES A RANGE OF VALUES IN A DESIRED INTERVAL, [ Q0,Q1 ] AND A RANGE OF VALUES OF DX IN A DESIRED INTERVAL, [ DX1,DX2 ], WITH THE GENERAL Nth DEGREE INTERPOLATING POLYNOMIAL PASSING THROUGH THE LAST (N+1) POINTS IN { Yi,Fi } , WHERE Yi = F(Yi) ) IX STAT2246 READS A SEQUENCE OF CMAX K0-ELEMENT TRANSLATION EVENTS FROM STAT2246.IN2, A SPECIFIC PREDICTOR VARIABLE, X0, THE DEGREE, N, AND THE CORRESPONDING (N+1=NP1) ORDERED PAIRS, { (Yi,Fi) } IN STAT2246.INP, Fi = F(Yi) AND THE < Xi > , NOT NECESSARILY DISTINCT. THE NEWTON FORM , P(X) , OF THE Nth DEGREE INTERPOLATING POLYNOMIAL IS GENERATED AND THE ROUTINE TACITLY COMPUTES THE PREDICTED RESPONSE, P( X0 ) . THE POLYNOMIAL, P(X), SERVES AS THE MINIMUM NORM LEAST SQUARES FIT INTERPOLATING POLYNOMIAL, SUBJECT TO THE FOLLOWING RESTRICTIONS: (1) IF Y(I) = Y(I+K), THEN Y(I) = Y(I+J), J = 1, ... , K AND (2) IF ALSO Y(I-1) .NE. Y(I), OR IF I = 1, THEN F(I+J) = THE VALUE OF THE Jth DERIVATIVE OF F(X) AT X = Y(I), J = 0 ... , K. STAT2246 IS A VARIANT OF STAT2244. HOWEVER, BLOCKS ARE PROCESSED CYCLICALLY FOR NP1 IN THE RANGE [Q0,Q1], AS WELL AS, INCREMENTS OF DX IN THE SELECTED INTERVAL [DX1,DX2]. CF. ALSO STAT2234, STAT2235, STAT2236, AND STAT2238. STAT2246 IS ADAPTED FROM CONTE and DeBOOR, ELEMENTARY NUMERICAL ANALYSIS: AN ALGORITHMIC APPROACH. A CUMULATIVE FILE OF COMPUTED RESPONSE VALUES , < Y0 > , OVER K0 COLUMNS OF STAR EVENTS IS RECORDED IN CUMULAT.OUT. CF. ALSO STAT2235 AND STAT2236. EVENTS FOR STAT2246.INP ARE AUTOMATICALLY GENERATED FROM BASE.INP. EACH K0-ELEMENT PREDICTED VECTOR IS TRANSLATED BY THE CMAX K0-ELEMENT VECTORS OF STAT2246.IN2 TO GENERATE HIGH-PROBABILITY K0-ELEMENT EVENTS IN STAT94.INP. CF. ALSO STAT2238, STAT2241 AND STAT2244. ===================================================================== -- L 2247 -- ( TRANSLATING AND PREDICTING INTERSECTION PERFORMANCE OF EACH EVENT OF A FIXED BLOCK OF K0-ELEMENT EVENTS ) XI STAT2247 READS A FIXED BLOCK OF BMAX K0-ELEMENT TEST EVENTS FROM STAT2247.INP, A SEQUENCE OF CMAX 2-ELEMENT COLUMN SELECTION VECTORS FROM STAT2247.IN2 AND A SEQUENCE OF IMAX K0-ELEMENT STAR EVENTS FROM BASE.INP. SELECTED ELEMENTS GENERATED VIA THE VECTORS FROM THE SEQUENCE IN STAT2247.IN2 ARE TRANSLATED BY FIXED CONSTANTS AND EVENTS ARE INTERSECTED WITH THE SEQUENCE OF STAR EVENTS FROM BASE.INP. THE ROUTINE ALSO FLAGS THE ELEMENTS OF A DESIRED RANGE 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. STAT2247 IS A VARIANT OF STAT2242, TACITLY GENERATING A SEQUENCE OF HIGH-PROBABILITY TEST EVENTS IN STAT2247.OUT AND STAT94.INP. HOWEVER, THE BLOCK OF K0-ELEMENT INPUT EVENTS IS TRANSLATED BY 2-ELEMENT VECTORS, RATHER THAN K0-ELEMENT VECTORS. 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 STAT2247.INP ARE INCLUDED AS OUTPUT EVENTS ARE FILTERED. CF. STAT1641 FOR GENERATING STAT2247.INP IN THE FORM OF STAT94.INP. CF. ALSO STAT1323, STAT1505, STAT1506, STAT1511, STAT1618, STAT1631 AND STAT2064. INPUT EVENTS IN STAT2247.INP MAY BE TACITLY GENERATED BY STAT1438 AS STAT94.INP. CF. STAT1438. CF. STAT204 FOR THE GENERATION OF STAT2247.INP AND CF. STAT2171 FOR THE GENERATION OF STAT2247.IN2. CF. STAT2239 FOR THE GENERATION OF CUMULAT.OUT TO BE UTILIZED AS STAT2247.INP. CF. ALSO STAT2242. ===================================================================== -- L 2248 -- ( GENERATING A SEQUENCE OF Q0-ELEMENT PERMUTATIONS FROM A (BMAX x K0)- DIMENSIONAL BLOCK BY THE TRANSLATION OF SELECTED COLUMNS BY A PRESCRIBED SEQUENCE OF K0-ELEMENT TRANSLATION VECTORS ) XII STAT2248 READS A ( BMAX x K0 )-DIMENSIONAL BLOCK OF EVENTS FROM STAT2248.INP AND SEQUENCE OF CMAX K0-ELEMENT TRANSLATION VECTORS FROM STAT2248.IN2, TRANSLATING ELEMENTS FROM SELECTED COLUMNS OF EACH ( 3 X K0 )-DIMENSIONAL SUB-BLOCK FROM STAT2248.INP VIA THE K0-ELEMENT TRANSLATION VECTORS FROM STAT2248.IN2. THIS PROCESS IS CYCLICALLY REPEATED AND EACH GENERATED PERMUTATION IS ADJUSTED TO CONSIST OF UNIQUE ELEMENTS FOR FURTHER PROCESSING. STAT2248 IS A VARIANT OF STAT2240. PERM.OUT RECORDS NON-REPEATING ELEMENTS FROM THE ( BMAX x K0) BLOCK OF STAT2248.INP. CF. STAT2240. ===================================================================== -- L 2249 -- ( GENERATING A SEQUENCE OF Q0-ELEMENT PERMUTATIONS FROM THE TAILS OF THE PERMUTATIONS IN A FIXED SEQUENCE WITH VARYING SIZES ) XIII STAT2249 READS A SEQUENCE OF PERMUTATIONS OF VARYING SIZES FROM PERM.INP AND A SEQUENCE OF IMAX K0-ELEMENT STAR EVENTS FROM BASE.INP. A SEQUENCE OF Q0-ELEMENT PERMUTATIONS IS GENERATED INTO PERM.OUT FROM THE TAILS OF THE INPUT PERMUTATIONS OF PERM.INP. STAT2249 IS A VARIANT OF STAT2248. PERM.OUT RECORDS NON-REPEATING ELEMENTS FROM THE TAIL OF EACH PERM OF PERM.INP IN PERM.OUT. CF. STAT2248. ===================================================================== -- L 2250 -- ( GENERATION OF HIGH-PROBABILITY K0-ELEMENT EVENTS FROM SCROLLING CONTIGUOUS STRINGS OF ELEMENTS OF EACH PERMUTATION IN A FIXED BLOCK ) A FIXED BLOCK ) XV STAT2250 READS A SEQUENCE OF PMAX PERMUTATIONS OF VARIABLE SIZES FROM PERM.INP, AND A SEQUENCE OF IMAX K0-ELEMENT STAR EVENTS FROM BASE.INP. K0-ELEMENT EVENTS ARE GENERATED FROM EACH INPUT PERMUTATION BY SELECTING SCROLLING CONTIGUOUS STRINGS OF ELEMENTS FROM EACH INPUT PERMUTATION SEQUENCE. THE PROCESS IS CYCLICALLY REPEATED. A SELECTED STAR EVENT OR SEQUENCE OF STAR EVENTS IS THEN INTERSECTED WITH EACH TEST EVENT GENERATED FROM THE ABOVE CYCLICAL PROCESS. THE ROUTINE FLAGS THE ELEMENTS OF A DESIRED RANGE OF STAR EVENTS AS THEY OCCUR AMONG THE ELEMENTS OF EACH TEST EVENT. MOREOVER, OUTPUT TEST EVENTS ARE PRINTED IN THE FILE STAT94.INP FOR FUTURE USE BY OTHER ROUTINES. MOREOVER, THE NUMBER AND PERCENTAGE OF 0's , 1's, 2's, 3's, 4's, ... , K0's ARE COMPUTED AS DETERMINED CARDINALITIES OF INTERSECTION NUMBERS BETWEEN TEST EVENTS AND EACH EVENT IN THE RANGE OF SELECTED STAR EVENTS. A CONFIGURATION MATRIX IS GENERATED WHICH INDICATES THE ELEMENTS IN COMMON BETWEEN PERMUTATIONS AND THE DESIRED RANGE OF SUCCESSIVE STAR EVENTS. THE ROUTINE ALSO PREDICTS THE NEXT SUCCESSFUL INTERSECTION INDEX BETWEEN A STAR EVENT AND THE GENERATED BLOCK OF TEST EVENTS. STAT2250 IS A VARIANT OF STAT2169, TACITLY GENERATING A SEQUENCE OF HIGH-PROBABILITY TEST EVENTS IN STAT2250.OUT AND STAT94.INP. GENERATED EVENTS ARE FILTERED BY SELECTING ONLY THOSE TEST EVENTS FROM THE SEQUENCE WITH INDICES WHICH ARE CONGRUENT TO AN ELEMENT OF A DESIRED INTEGRAL VECTOR SELECTED BY THE ANALYST, I.E., < M1, M2, M3, M4, ... , M10 > ( MOD T) , FOR SOME DESIRED INTEGER T AND SOME DESIRED SEQUENCE OF POSITIVE INTEGERS : M1, M2, M3, M4, M5, M6,M7, M8, M9, AND M10 (NOT NECESSARILY DISTINCT). CF. ALSO STAT1636, STAT1640, STAT2169 AND STAT1828. ===================================================================== -- L 2251 -- ( GENERATING Q0-ELEMENT PERMUTATIONS FROM ( BMAX x K0 )-DIMENSIONAL BLOCKS OF EVENTS AND GENERATING RELATED PERMUTATIONS VIA PRESCRIBED ELEMENT TRANSLATIONS OVER BLOCKS OF ROWS OF SIZE 3 ) XV STAT2251 READS A ( BMAX x K0 )-DIMENSIONAL BLOCK OF EVENTS FROM STAT2251.INP, SELECTING NON-REPEATING ELEMENTS FROM THE 3-ROW BLOCKS TO GENERATE Q0-ELEMENT PERMUTATIONS FOR FURTHER PROCESSING. MOREOVER, PRESCRIBED INTEGER-VALUED TRANSLATES ARE ADDED TO OR SUBTRACTED FROM PRESCRIBED SUB-STRINGS OF EACH GENERATED PERMUTATION TO GENERATE A NEW SEQUENCE OF PERMUTATIONS. SUB-PERMUTATIONS ARE ALSO SELECTED FROM THE HEAD, MIDDLE, AND TAIL OF EACH OUTPUT PERMUTATION. PERM.OUT RECORDS NON-REPEATING ELEMENTS FROM THE ( BMAX x K0) BLOCK. PERM2.OUT CONTAINS A RE-ARRANGEMENT OF THE ELEMENTS FROM PERM.OUT. PERM4.OUT CONTAINS ELEMENTS FROM THE UNION OF THE TAILS, WHILE PERM3 CONTAINS ELEMENTS FROM THE MIDDLE OF GENERATED PERMUTATIONS. STAT2251 IS A VARIANT OF STAT2240. ===================================================================== -- L 2252 -- ( GENERATING PRESCRIBED RE-ARRANGEMENTS OF THE ELEMENTS OF EACH PERMUTATION FROM A FIXED BLOCK OF PERMUTATIONS ) XVI STAT2252 READS SEQUENCE OF PMAX PERMUTATIONS OF VARIABLE SIZES FROM PERM.INP, GENERATING PRESCRIBED RE-ARRANGEMENTS OF THE ELEMENTS OF EACH INPUT PERMUTATION FOR FURTHER PROCESSING. GENERATED PERMUTATIONS ARE RECORDED IN PERM.OUT. STAT2252 IS A VARIANT OF STAT2240. ===================================================================== -- L 2253 -- ( RANKING A LARGE SEQUENCE OF K0-ELEMENT EVENTS OVER THE SUM OF FREQUENCIES OF ELEMENTS PER EVENT WRT THE NUMBER OF TIMES EACH ELEMENT HAS OCCURRED AFTER SKIPPING THE CURRENT NUMBER OF ELAPSED EVENTS ) II READS A LARGE SEQUENCE OF K0-ELEMENT TEST EVENTS IN STAT2253.INP AND A SEQUENCE OF L0 COMPUTED FREQUENCIES OF ELEMENTS < 1, 2, .... , L0 > FROM STAT2253.IN2 wrt THE NUMBER OF TIMES EACH ELEMENT HAS OCCURRED AFTER SKIPPING THE CURRENT NUMBER OF ELAPSED STAR EVENTS OF BASE.INP (DETERMINED FROM STAT292) AND FILTERS THE TOP K DESIRED TEST EVENTS IN DESCENDING SIZES OF SUMS OF THE OBSERVED FREQUENCIES READ FROM THE INPUT FILE STAT2253.IN2. STAT2253 IS A VARIANT OF STAT466 AND STAT2254. UP TO 1000 EVENTS ARE PROCESSED FROM THE INPUT SEQUENCE, , AND 400 STAR EVENTS. STAT2253 DETERMINES THE NUMBER OF ELEMENTS IN COMMON BETWEEN THE EVENT SUCCEEDING A SELECTED STAR EVENT (IF IT EXISTS) AND EACH OF THE LMAX TEST EVENTS. MOREOVER, THE NUMBER AND PERCENTAGE OF 0's , 1's, 2's, ... , K0's ARE COMPUTED AS CARDINALITIES OF INTERSECTION NUMBERS BETWEEN TEST EVENTS AND THE SUCCESSIVE EVENT OF THE SELECTED STAR EVENT FOR UP TO 400 STAR EVENTS AND 1000 TEST EVENTS. A CONFIGURATION MATRIX IS GENERATED WHICH INDICATES THE ELEMENTS IN COMMON BETWEEN TEST EVENTS AND THE SUCCESSIVE STAR EVENT. CF. STAT12, STAT55 AND STAT64. CF. ALSO STAT292 FOR THE GENERATION OF STAT2253.IN2. THOSE ELEMENTS L FOR WHICH THE FREQUENCIES OF NDSLH(L) > 0 ARE FILTERED AS A PERMUTATION AND RECORDED IN PERM.OUT FOR FURTHER PROCESSING IN OTHER ROUTINES. QUALIFYING EVENTS ARE FILTERED INTO STAT94.INP, STAT2253.OUT, AND STAT2253.OT2 FOR WHICH OCCURRENCE FREQUENCIES OF NDSLH OF ELEMENTS MATCH CORRESPONDING COMPONENTS OF A SELECTED K0-ELEMENT VECTOR. CF. ALSO STAT466 AND STAT2254. ===================================================================== -- L 2254 -- ( RANKING A LARGE SEQUENCE OF K0-ELEMENT EVENTS OVER THE SUM OF FREQUENCIES OF ELEMENTS PER EVENT WRT THE NUMBER OF TIMES EACH ELEMENT HAS OCCURRED AFTER SKIPPING THE CURRENT NUMBER OF ELAPSED EVENTS ) IV READS A LARGE SEQUENCE OF K0-ELEMENT TEST EVENTS IN STAT2254.INP, A SEQUENCE OF GMAX K0-ELEMENT VECTORS OF FREQUENCIES IN STAT2254.IN3, wrt NDSLH, AND A SEQUENCE OF L0 COMPUTED FREQUENCIES OF ELEMENTS < 1, 2, .... , L0 > FROM STAT2254.IN2 wrt THE NUMBER OF TIMES EACH ELEMENT HAS OCCURRED AFTER SKIPPING THE CURRENT NUMBER OF ELAPSED STAR EVENTS OF BASE.INP (DETERMINED FROM STAT292) AND FILTERS THE TOP K DESIRED TEST EVENTS IN DESCENDING SIZES OF SUMS OF THE OBSERVED FREQUENCIES READ FROM THE INPUT FILE STAT2254.IN2. STAT2254 IS A VARIANT OF STAT2253. AN EXECUTION PROCESSES UP TO 1000 TEST EVENTS FROM THE INPUT SEQUENCE, , AND 400 STAR EVENTS. THE ROUTINE DETERMINES THE NUMBER OF ELEMENTS IN COMMON BETWEEN THE EVENT SUCCEEDING A SELECTED STAR EVENT (IF IT EXISTS) AND EACH OF THE LMAX TEST EVENTS. MOREOVER, THE NUMBER AND PERCENTAGE OF 0's , 1's, 2's, ... , K0's ARE COMPUTED AS CARDINALITIES OF INTERSECTION NUMBERS BETWEEN TEST EVENTS AND THE SUCCESSIVE EVENT OF THE SELECTED STAR EVENT FOR UP TO 400 STAR EVENTS AND 1000 TEST EVENTS. A CONFIGURATION MATRIX IS GENERATED WHICH INDICATES THE ELEMENTS IN COMMON BETWEEN TEST EVENTS AND THE SUCCESSIVE STAR EVENT. CF. STAT12, STAT55 AND STAT64. CF. ALSO STAT292 FOR THE GENERATION OF STAT2254.IN2. THOSE ELEMENTS L FOR WHICH THE FREQUENCIES OF NDSLH(L) > 0 ARE FILTERED AS A PERMUTATION AND RECORDED IN PERM.OUT FOR FURTHER PROCESSING IN OTHER ROUTINES. QUALIFYING EVENTS ARE FILTERED INTO STAT94.INP, STAT2254.OUT, AND STAT2254.OT2 FOR WHICH OCCURRENCE FREQUENCIES OF NDSLH OF ELEMENTS MATCH CORRESPONDING COMPONENTS OF A SELECTED K0-ELEMENT VECTOR. CF. ALSO STAT466 AND STAT2253. ===================================================================== -- L 2255 -- ( GENERATING K0-ELEMENT EVENTS FROM 1-ELEMENT OR 2-ELEMENT STRINGS UNION A PAIR OF 2-ELEMENT STRINGS FROM A SEQUENCE OF BIPARTITE EVENTS ) (VERSION XX) STAT2255 READS A SEQUENCE OF BMAX K0-ELEMENT TEST EVENTS FROM STAT2255.INP, AND A SEQUENCE OF IMAX K0-ELEMENT STAR EVENTS FROM BASE.INP. THE EVENTS IN STAT2255.INP ARE UTILIZED TO GENERATE A SEQUENCE OF HIGH-PROBABILITY EVENTS IN STAT2255.OUT FROM EITHER 1- OR 2-ELEMENT STRINGS UNION A PAIR OF 2-ELEMENT STRINGS FROM A SEQUENCE OF SELECTED BIPARTITE EVENTS OF AN INPUT SEQUENCE, FROM COLUMNS { 1 } U { 2,3 } U { 4,5 } ( IF K0 = 5 ) OR FROM COLUMNS { 1,2 } U { 3,4 } U { 5,6 } ( IF K0 = 6 ) OVER BIPARTITE EVENTS. A SELECTED STAR EVENT OR SEQUENCE OF STAR EVENTS IS THEN INTERSECTED WITH EACH GENERATED TEST EVENT FOR UP TO 400 POSSIBLE STAR EVENTS. THE ROUTINE FLAGS THE ELEMENTS OF A DESIRED RANGE OF STAR EVENTS AS THEY OCCUR AMONG THE ELEMENTS OF EACH TEST EVENT. MOREOVER, OUTPUT TEST EVENTS ARE PRINTED IN THE FILE STAT94.INP FOR FUTURE USE BY OTHER ROUTINES. MOREOVER, THE NUMBER AND PERCENTAGE OF 0's , 1's, 2's, 3's, 4's, ... , K0's ARE COMPUTED AS DETERMINED CARDINALITIES OF INTERSECTION NUMBERS BETWEEN TEST EVENTS AND EACH EVENT IN THE RANGE OF SELECTED STAR EVENTS. A CONFIGURATION MATRIX IS GENERATED WHICH INDICATES THE ELEMENTS IN COMMON BETWEEN PERMUTATIONS AND THE DESIRED RANGE OF SUCCESSIVE STAR EVENTS. THE ROUTINE ALSO PREDICTS THE NEXT SUCCESSFUL INTERSECTION INDEX BETWEEN A STAR EVENT AND THE GENERATED BLOCK OF TEST EVENTS. STAT2255 IS A VARIANT OF STAT1100, TACITLY GENERATING A SEQUENCE OF HIGH-PROBABILITY TEST EVENTS IN STAT2255.OUT AND STAT94.INP, TO GENERATE A SUBSEQUENCE OF HIGH-PROBABILITY TEST EVENTS. HOWEVER, NOT ALL SELECTED SUB-STRINGS FROM STAT2255.INP ARE CONTINUOUS. GENERATED EVENTS ARE FILTERED BY SELECTING ONLY THOSE TEST EVENTS FROM THE SEQUENCE WITH INDICES WHICH ARE CONGRUENT TO AN ELEMENT OF A DESIRED INTEGRAL VECTOR SELECTED BY THE ANALYST, I.E., < M1, M2, M3, M4, ... , M10 > ( MOD T) , FOR SOME DESIRED INTEGER T AND SOME DESIRED SEQUENCE OF POSITIVE INTEGERS : M1, M2, M3, M4, M5, M6,M7, M8, M9, AND M10 (NOT NECESSARILY DISTINCT). CF. ALSO STAT1100. ===================================================================== -- L 2256 -- ( GENERATING K0-ELEMENT EVENTS SELECTED NON-LINEAR STRINGS OF ELEMENTS OVER SCROLLING TRIADS OF ROWS OF BIPARTITE EVENTS ) (VERSION XXI) STAT2256 READS A SEQUENCE OF BMAX K0-ELEMENT TEST EVENTS FROM STAT2256.INP, A SEQUENCE OF CMAX K0-ELEMENT TRANSLATION VECTORS FROM STAT2256.IN2, AND A SEQUENCE OF IMAX K0-ELEMENT STAR EVENTS FROM BASE.INP. THE EVENTS IN STAT2256.INP ARE UTILIZED TO GENERATE A SEQUENCE OF HIGH-PROBABILITY EVENTS IN STAT2256.OUT FROM EITHER 1- OR 2-ELEMENT STRINGS UNION A PAIR OF 2-ELEMENT STRINGS FROM A SEQUENCE OF SELECTED BIPARTITE EVENTS OF AN INPUT SEQUENCE, FROM COLUMNS { 1 } U { 2,3 } U { 4,5 } ( IF K0 = 5 ) OR FROM COLUMNS { 1,2 } U { 3,4 } U { 5,6 } ( IF K0 = 6 ) OVER BIPARTITE EVENTS. A SELECTED STAR EVENT OR SEQUENCE OF STAR EVENTS IS THEN INTERSECTED WITH EACH GENERATED TEST EVENT FOR UP TO 400 POSSIBLE STAR EVENTS. K0-ELEMENT EVENTS ARE GENERATED BY SELECTING NON-LINEAR STRINGS OF ELEMENTS OVER SCROLLING TRIADS OF ROWS OF BIPARTITE EVENTS. THE ROUTINE FLAGS THE ELEMENTS OF A DESIRED RANGE OF STAR EVENTS AS THEY OCCUR AMONG THE ELEMENTS OF EACH TEST EVENT. MOREOVER, OUTPUT TEST EVENTS ARE PRINTED IN THE FILE STAT94.INP FOR FUTURE USE BY OTHER ROUTINES. MOREOVER, THE NUMBER AND PERCENTAGE OF 0's , 1's, 2's, 3's, 4's, ... , K0's ARE COMPUTED AS DETERMINED CARDINALITIES OF INTERSECTION NUMBERS BETWEEN TEST EVENTS AND EACH EVENT IN THE RANGE OF SELECTED STAR EVENTS. A CONFIGURATION MATRIX IS GENERATED WHICH INDICATES THE ELEMENTS IN COMMON BETWEEN PERMUTATIONS AND THE DESIRED RANGE OF SUCCESSIVE STAR EVENTS. THE ROUTINE ALSO PREDICTS THE NEXT SUCCESSFUL INTERSECTION INDEX BETWEEN A STAR EVENT AND THE GENERATED BLOCK OF TEST EVENTS. STAT2256 IS A VARIANT OF STAT1100, TACITLY GENERATING A SEQUENCE OF HIGH-PROBABILITY TEST EVENTS IN STAT2256.OUT AND STAT94.INP, TO GENERATE A SUBSEQUENCE OF HIGH-PROBABILITY TEST EVENTS. HOWEVER, NOT ALL SELECTED SUB-STRINGS FROM STAT2256.INP ARE CONTINUOUS. GENERATED EVENTS ARE FILTERED BY SELECTING ONLY THOSE TEST EVENTS FROM THE SEQUENCE WITH INDICES WHICH ARE CONGRUENT TO AN ELEMENT OF A DESIRED INTEGRAL VECTOR SELECTED BY THE ANALYST, I.E., < M1, M2, M3, M4, ... , M10 > ( MOD T) , FOR SOME DESIRED INTEGER T AND SOME DESIRED SEQUENCE OF POSITIVE INTEGERS : M1, M2, M3, M4, M5, M6,M7, M8, M9, AND M10 (NOT NECESSARILY DISTINCT). CF. ALSO STAT1631, STAT1654, STAT1655, STAT1742, STAT1780, STAT1800, STAT1802, STAT2056, STAT2093, STAT2095, AND STAT1100. ===================================================================== -- L 2257 -- ( GENERATION OF ALL POSSIBLE HIGH-PROBABILITY K0-ELEMENT EVENTS FROM EACH SCROLLING CONTIGUOUS STRING OF ELEMENTS OF EACH PERMUTATION OF A FIXED BLOCK ) XXV STAT2257 READS A SEQUENCE OF PMAX PERMUTATIONS OF VARIABLE SIZES FROM PERM.INP, AND A SEQUENCE OF IMAX K0-ELEMENT STAR EVENTS FROM BASE.INP. K0-ELEMENT EVENTS ARE GENERATED FROM EACH INPUT PERMUTATION BY SELECTING SCROLLING CONTIGUOUS STRINGS OF ELEMENTS FROM EACH INPUT PERMUTATION SEQUENCE. ALL POSSIBLE K0-ELEMENT EVENTS ARE GENERATED FROM EACH SCROLLING CONTIGUOUS STRING OF ELEMENTS. A SELECTED STAR EVENT OR SEQUENCE OF STAR EVENTS IS THEN INTERSECTED WITH EACH TEST EVENT GENERATED FROM THE ABOVE CYCLICAL PROCESS. THE ROUTINE FLAGS THE ELEMENTS OF A DESIRED RANGE OF STAR EVENTS AS THEY OCCUR AMONG THE ELEMENTS OF EACH TEST EVENT. MOREOVER, OUTPUT TEST EVENTS ARE PRINTED IN THE FILE STAT94.INP FOR FUTURE USE BY OTHER ROUTINES. MOREOVER, THE NUMBER AND PERCENTAGE OF 0's , 1's, 2's, 3's, 4's, ... , K0's ARE COMPUTED AS DETERMINED CARDINALITIES OF INTERSECTION NUMBERS BETWEEN TEST EVENTS AND EACH EVENT IN THE RANGE OF SELECTED STAR EVENTS. A CONFIGURATION MATRIX IS GENERATED WHICH INDICATES THE ELEMENTS IN COMMON BETWEEN PERMUTATIONS AND THE DESIRED RANGE OF SUCCESSIVE STAR EVENTS. THE ROUTINE ALSO PREDICTS THE NEXT SUCCESSFUL INTERSECTION INDEX BETWEEN A STAR EVENT AND THE GENERATED BLOCK OF TEST EVENTS. STAT2257 IS A VARIANT OF STAT2250, TACITLY GENERATING A SEQUENCE OF HIGH-PROBABILITY TEST EVENTS IN STAT2257.OUT AND STAT94.INP. GENERATED EVENTS ARE FILTERED BY SELECTING ONLY THOSE TEST EVENTS FROM THE SEQUENCE WITH INDICES WHICH ARE CONGRUENT TO AN ELEMENT OF A DESIRED INTEGRAL VECTOR SELECTED BY THE ANALYST, I.E., < M1, M2, M3, M4, ... , M10 > ( MOD T) , FOR SOME DESIRED INTEGER T AND SOME DESIRED SEQUENCE OF POSITIVE INTEGERS : M1, M2, M3, M4, M5, M6,M7, M8, M9, AND M10 (NOT NECESSARILY DISTINCT). CF. ALSO STAT1636, STAT1640, STAT2169, AND STAT1828. ===================================================================== -- L 2258 -- FILTERING TEST EVENTS VIA A RANGE OF DESIRED INDICES (MOD K) READS A SEQUENCE OF BMAX K0-ELEMENT TEST EVENTS IN STAT2258.INP AND A SEQUENCE OF IMAX K0-ELEMENT STAR EVENTS IN BASE.INP. STAT2258 SELECTS K0-ELEMENT EVENTS FROM THE K0-ELEMENT TEST EVENTS BASED UPON A SEQUENCE OF INTEGER INDEXES (MOD K), FOR SOME DESIRED INTEGER K, SELECTED IN REAL TIME BY THE ANALYST. MOREOVER, A SELECTED STAR EVENT OR SEQUENCE OF STAR EVENTS IS INTERSECTED WITH EACH FILTERED TEST EVENT FOR UP TO 400 POSSIBLE STAR EVENTS. THE ROUTINE FLAGS THE ELEMENTS OF A DESIRED RANGE OF STAR EVENTS AS THEY OCCUR AMONG THE ELEMENTS OF EACH TEST EVENT. MOREOVER, OUTPUT TEST EVENTS ARE PRINTED IN THE FILE STAT94.INP FOR FUTURE USE BY OTHER ROUTINES. MOREOVER, THE NUMBER AND PERCENTAGE OF 0's , 1's, 2's, 3's, 4's, ... , K0's ARE COMPUTED AS DETERMINED CARDINALITIES OF INTERSECTION NUMBERS BETWEEN TEST EVENTS AND EACH EVENT IN THE RANGE OF SELECTED STAR EVENTS. A CONFIGURATION MATRIX IS GENERATED WHICH INDICATES THE ELEMENTS IN COMMON BETWEEN TEST EVENTS AND THE DESIRED RANGE OF SUCCESSIVE STAR EVENTS. STAT2258 FILTERS EVENTS INTO STAT2258.OT5, BY SELECTING ONLY THOSE TEST EVENTS FROM THE SEQUENCE WITH INDICES WHICH ARE CONGRUENT ( MOD 0 ) TO AN ELEMENT OF A DESIRED RANGE OF INTEGRAL VALUES K in [ K1,K2 ] SELECTED BY THE ANALYST. A SELECTED STAR EVENT OR SEQUENCE OF STAR EVENTS IS THEN INTERSECTED WITH EACH GENERATED TEST EVENT FOR UP TO 400 POSSIBLE STAR EVENTS. STAT2258 IS A VARIANT OF STAT1088, TACITLY GENERATING A SEQUENCE OF HIGH- PROBABILITY TEST EVENTS IN STAT2258.OUT AND STAT94.INP. ===================================================================== -- L 2259 -- MONITOR MATRIX GENERATOR FREQUENCY COUNTS FOR ELEMENTS IN A TEST SET XX COMPARES A SEQUENCE OF Q0-ELEMENT PERMUTATIONS WITH A BASE SET OF STAR EVENTS, DETERMINES THE NUMBER OF ELEMENTS IN EACH INPUT PERMUTATION 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 REFLECTING THE PATTERNS OF HITS FROM THE ABOVE SEQUENCE OF BASE SETS. PERMUTATION SETS ARE RANKED AND PRINTED IN DESCENDING ORDER OF INTERSECTION PERFORMANCE IN PERM.OUT. STAT2259 IS A VARIANT OF STAT2. CF. ALSO STAT2260 FOR ALTERNATE RANKINGS. PERM.OUT : EVENTS ARE RANKED (ASCENDING OR DESCENDING ORDER) PERM2.OUT : EVENTS RANKED AND QSTAR(EVENT J) <==> YES PERM3.OUT : QSTAR(EVENT J) <===> YES ===================================================================== -- L 2260 -- MONITOR MATRIX GENERATOR FREQUENCY COUNTS FOR ELEMENTS IN A PERMUTATION SET XXXXXXXII STAT2260 COMPARES A LARGE SEQUENCE OF Q0-ELEMENT PERMUTATIONS WITH A FINITE BASE SET OF STAR EVENTS, DETERMINES THE NUMBER OF ELEMENTS IN EACH PERMUTATION 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. Q0-ELEMENT PERMS ARE RANKED AND PRINTED ACCORDING TO INTERSECTION PERFORMANCE IN PERM.OUT AND PERM2.OUT FOR FURTHER PROCESSING. STAT2260 IS A VARIANT OF STAT1932. THOSE PERMUTATIONS ARE FILTERED AS [*]-QUALIFIED WHENEVER (SUML - SUMR) .GE. M0 , WHERE SUML IS THE LEFT TAIL FREQUENCY SUM OF STAR EVENTS VS. THE GIVEN PERMUTATION AND SUMR IS THE RIGHT TAIL FREQUENCY SUM OF STAR EVENTS VS. THE GIVEN PERMUTATION. THIS PROCESS IS CYCLICALLY REPEATED VS. ALL PERMUTATIONS. STAT2240 IS THE PERMUTATION VERSION OF STAT1932. CF. STAT1932. ===================================================================== -- L 2261 -- MONITOR MATRIX GENERATOR FREQUENCY COUNTS FOR ELEMENTS IN A TEST EVENT SET XXXXXXXIV STAT2261 READS A SEQUENCE OF PMAX PERMUTATIONS AND GENERATES, FOR EACH PERMUTATION, A COMPLETE SEQUENCE OF K0-ELEMENT EVENTS. EACH GENERATED EVENT IS INTERSECTED WITH A FINITE BASE SET OF STAR EVENTS, AND THE NUMBER OF ELEMENTS IN EACH EVENT IN COMMON WITH EACH STAR EVENT IS DETERMINED. THIS PROCESS IS CYCLICALLY REPEATED. THE 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. STAT2261 IS A VARIANT OF STAT1932. THOSE TEST EVENTS ARE FILTERED AS [*]-QUALIFIED WHENEVER (SUML - SUMR) .GE. M0 , WHERE SUML IS THE LEFT TAIL FREQUENCY SUM OF STAR EVENTS VS. THE GIVEN TEST EVENT AND SUMR IS THE RIGHT TAIL FREQUENCY SUM OF STAR EVENTS VS. THE GIVEN TEST EVENT. THIS PROCESS IS CYCLICALLY REPEATED VS. ALL TEST EVENTS. STAT2261 ANALYZES THE CASE (K0 = 5). CF. STAT2262 FOR THE CASE (K0 = 6). CF. ALSO STAT1926 AND STAT2260. ===================================================================== -- L 2262 -- MONITOR MATRIX GENERATOR FREQUENCY COUNTS FOR ELEMENTS IN A TEST EVENT SET XXXXXXXV STAT2262 READS A SEQUENCE OF PMAX PERMUTATIONS AND GENERATES, FOR EACH PERMUTATION, A COMPLETE SEQUENCE OF K0-ELEMENT EVENTS. EACH GENERATED EVENT IS INTERSECTED WITH A FINITE BASE SET OF STAR EVENTS, AND THE NUMBER OF ELEMENTS IN EACH EVENT IN COMMON WITH EACH STAR EVENT IS DETERMINED. THIS PROCESS IS CYCLICALLY REPEATED. THE 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. STAT2262 IS A VARIANT OF STAT2261. THOSE TEST EVENTS ARE FILTERED AS [*]-QUALIFIED WHENEVER (SUML - SUMR) .GE. M0 , WHERE SUML IS THE LEFT TAIL FREQUENCY SUM OF STAR EVENTS VS. THE GIVEN TEST EVENT AND SUMR IS THE RIGHT TAIL FREQUENCY SUM OF STAR EVENTS VS. THE GIVEN TEST EVENT. THIS PROCESS IS CYCLICALLY REPEATED VS. ALL TEST EVENTS. STAT2262 ANALYZES THE CASE (K0 = 6). CF. STAT2261 FOR THE CASE (K0 = 5). CF. ALSO STAT1926 AND STAT2260. ===================================================================== -- L 2263 -- MONITOR MATRIX GENERATOR CONSTRUCTION OF A PERMUTATION BASED UPON ELEMENTS RANKED IN EITHER ASCENDING OR DESCENDING ORDER OF FREQUENCY FROM A FIXED BLOCK OF PERMUTATIONS XXXXXXXIV STAT2263 READS A BLOCK OF PMAX Q0-ELEMENT PERMUTATIONS FROM PERM.INP AND A SEQUENCE OF CMAX COLUMN INDEX VECTORS OF SIZE 18 IN STAT2263.INP DETRMINING FREQUENCIES OF ELEMENTS OVER THE ENTIRE BLOCK, CONSTRUCTING PERMUTATIONS BASED UPON ELEMENTS RANKED IN BOTH ASCENDING AND DESCENDING ORDER OF FREQUENCY FROM A FIXED BLOCK OF PERMUTATIONS ARE GENERATED INTO PERM2.OUT. ADDITIONAL PERMUTATIONS ARE GENERATED FROM THE ( 4 x 18 )-DIMENSIONAL BLOCK OF ELEMENTS IN STAT2263.OT2 VIA SELECTED COLUMNS INDICATED IN THE VECTORS OF STAT2263.INP INTO PERM.OUT. CF. STAT2264 OR STAT12 FOR THE GENERATION OF EXEMPLARY INPUT PERMUTATIONS. ===================================================================== -- L 2264 -- MONITOR MATRIX GENERATOR RANKING PERMUTATIONS IN ASCENDING ORDER OF INDICES CORRESPONDING TO THE NUMBER OF [J0]"s for J0 in < 1,...,K0 > XXXXXXXVI STAT2264 COMPARES A LARGE SEQUENCE OF Q0-ELEMENT PERMUTATIONS WITH A FINITE BASE SET OF STAR EVENTS, DETERMINES THE NUMBER OF ELEMENTS IN EACH PERMUTATION 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. Q0-ELEMENT PERMS ARE RANKED AND PRINTED IN ASCENDING ORDER OF INDICES CORRESPONDING TO THE NUMBER OF [J0]"s, FOR J0 in < 1 , ... , K0 > . STAT2264 IS A VARIANT OF STAT2260. THIS PROCESS IS CYCYCLICALLY REPEATED VS. ALL PERMUTATIONS AND STAR EVENTS. CF. STAT2260. ===================================================================== -- L 2265 -- ( HIGH-PROBABILITY PERMUTATION GENERATOR ) CONSTRUCTION OF PERMUTATIONS BASED UPON ELEMENTS RANKED IN DESCENDING ORDER OF (# EVENTS OUT)/(AVG.# SKIPS) + (# EVENTS OUT)/(LAST # SKIPS) I STAT2265 READS A MATRIX OF QUICK-STATS ON ELEMENTS L IN < 1,...,L0 > IN STAT2265.INP AND A SEQUENCE OF IMAX STAR EVENTS IN BASE.INP. A PERMUTATION IS CONSTRUCTED BASED UPON ELEMENTS RANKED IN DESCENDING ORDER OF (# EVENTS OUT)/(AVG.# SKIPS)+(# EVENTS OUT)/(LAST # SKIPS) AND GENERATED INTO PERM.OUT. CF. ALSO STAT2266. THE INPUT FILE STAT2265.INP CAN BE GENERATED, FOR EXAMPLE, VIA G. HOWARD'S ADVANTAGE PLUS, FOR EXAMPLE. ===================================================================== -- L 2266 -- ( HIGH-PROBABILITY PERMUTATION GENERATOR ) CONSTRUCTION OF PERMUTATIONS BASED UPON ELEMENTS RANKED IN DESCENDING ORDER OF HIT-RATIOS AT OR EXCEEDING 100% ) II STAT2266 READS A MATRIX OF QUICK-STATS ON ELEMENTS L IN < 1,...,L0 > IN STAT2266.INP AND A SEQUENCE OF IMAX STAR EVENTS IN BASE.INP. A PERMUTATION IS CONSTRUCTED BASED UPON ELEMENTS RANKED IN DESCENDING ORDER OF HIT-RATIOS AT OR EXCEEDING 100% AND RECORDED IN PERM.OUT. CF. ALSO STAT2266. THE INPUT FILE STAT2266.INP CAN BE GENERATED, FOR EXAMPLE, VIA G. HOWARD'S ADVANTAGE PLUS, FOR EXAMPLE. ===================================================================== -- L 2267 -- ( HIGH-PROBABILITY PERMUTATION GENERATOR ) CONSTRUCTION OF PERMUTATIONS BASED UPON ELEMENTS RANKED IN DESCENDING ORDER OF HIT-RATIOS AT OR EXCEEDING 100% WITH # EVENTS OUT .GE. LAST # SKIPS FOR EACH ELEMENT ) III STAT2267 READS A MATRIX OF QUICK-STATS ON ELEMENTS L IN < 1,...,L0 > IN STAT2267.INP AND A SEQUENCE OF IMAX STAR EVENTS IN BASE.INP. A PERMUTATION IS CONSTRUCTED BASED UPON ELEMENTS RANKED IN DESCENDING ORDER OF (# EVENTS OUT - LAST # SKIPS ) FOR EACH ELEMENT L , OR IN ORDER OF (# EVENTS OUT + LAST # SKIPS ) FOR EACH ELEMENT L , WITH HIT-RATIOS AT OR EXCEEDING 100% FOR EACH L AND RECORDED IN PERM.OUT. CF. ALSO STAT2266. THE INPUT FILE STAT2267.INP CAN BE GENERATED, FOR EXAMPLE, VIA G. HOWARD'S ADVANTAGE PLUS, FOR EXAMPLE. ===================================================================== -- L 2268 -- ( HIGH-PROBABILITY PERMUTATION GENERATOR ) CONSTRUCTION OF PERMUTATIONS BASED UPON ELEMENTS RANKED IN DESCENDING ORDER OF HIT-RATIOS AT OR EXCEEDING 100% WITH (# EVENTS OUT) / (AVG. # SKIPS) .GE. 1 FOR EACH ELEMENT IV STAT2268 READS A MATRIX OF QUICK-STATS ON ELEMENTS L IN < 1,...,L0 > IN STAT2268.INP AND A SEQUENCE OF IMAX STAR EVENTS IN BASE.INP. A PERMUTATION IS CONSTRUCTED BASED UPON ELEMENTS RANKED IN DESCENDING ORDER OF (# EVENTS OUT) / (AVG. # SKIPS) FOR EACH ELEMENT L , WITH HIT-RATIOS AT OR EXCEEDING 100% FOR EACH L AND RECORDED IN PERM.OUT. CF. ALSO STAT2267. THE INPUT FILE STAT2268.INP CAN BE GENERATED, FOR EXAMPLE, VIA G. HOWARD'S ADVANTAGE PLUS, FOR EXAMPLE. ===================================================================== -- L 2269 -- ( DETERMINING THE PROBABILITY OF AN INTERSECTION COUNT OF AT LEAST Q0 HIGH OR LOW ELEMENTS IN THE NEXT STAR EVENT ) I STAT2269 READS A SEQUENCE OF IMAX STAR EVENTS ON THE ELEMENTS ON THE ELEMENTS L IN < 1, 2, ... , L0 > AND DETERMINES THE INDICES OF STAR EVENTS CONTAINING AT LEAST Q0 HIGH ELEMENTS OR Q0 LOW ELEMENTS. A (0,1)-FREQUENCY OCCURRENCE MATRIX OVER THE IMAX STAR EVENTS IS GENERATED AND A FREQUENCY CADENCE ( 1 / K ) IS DETERMINED, WHERE K IS THE NUMBER OF STAR INDICES OVER WHICH AT LEAST Q0 HIGH OR LOW ELEMENTS OCCUR. IF AT LEAST Q0 HIGH OR LOW ELEMENTS FAIL TO OCCUR OVER THE LAST ( K-1 ) STAR EVENTS, THEN THE CURRENT STAR EVENT SEQUENCE IS [*]-QUALIFIED FOR AT LEAST Q0 HIGH OR LOW ELEMENTS IN THE NEXT STAR EVENT OF BASE.INP AND THE ROUTINE EXITS. STAT2269 READS UP TO 400 STAR EVENTS IN BASE.INP AND ANALYZES A VERY LARGE NUMBER OF TEST EVENTS IN STAT2269.INP. CF. ALSO STAT1809, STAT1810, STAT1032, STAT1033, STAT893, STAT894, STAT899, AND STAT933. STAT2270 IS A VARIANT OF STAT2269. CF. STAT2270 FOR THE EVEN/ODD VERSION. ===================================================================== -- L 2270 -- ( DETERMINING THE PROBABILITY OF AN INTERSECTION COUNT OF AT LEAST Q0 EVEN OR ODD ELEMENTS IN THE NEXT STAR EVENT ) II STAT2270 READS A SEQUENCE OF IMAX STAR EVENTS ON THE ELEMENTS ON THE ELEMENTS L IN < 1, 2, ... , L0 > AND DETERMINES THE INDICES OF STAR EVENTS CONTAINING AT LEAST Q0 EVEN ELEMENTS OR Q0 ODD ELEMENTS. A (0,1)-FREQUENCY OCCURRENCE MATRIX OVER THE IMAX STAR EVENTS IS GENERATED AND A FREQUENCY CADENCE ( 1 / K ) IS DETERMINED, WHERE K IS THE NUMBER OF STAR INDICES OVER WHICH AT LEAST Q0 EVEN OR ODD ELEMENTS OCCUR. IF AT LEAST Q0 EVEN OR ODD ELEMENTS FAIL TO OCCUR OVER THE LAST ( K-1 ) STAR EVENTS, THEN THE CURRENT STAR EVENT SEQUENCE IS [*]-QUALIFIED FOR AT LEAST Q0 EVEN OR ODD ELEMENTS IN THE NEXT STAR EVENT OF BASE.INP AND THE ROUTINE EXITS. STAT2270 READS UP TO 400 STAR EVENTS IN BASE.INP AND ANALYZES A VERY LARGE NUMBER OF TEST EVENTS IN STAT2270.INP. CF. ALSO STAT1809, STAT1810, STAT1032, STAT1033, STAT893, STAT894, STAT899, AND STAT933. STAT2270 IS A VARIANT OF STAT2269. CF. STAT2269 FOR THE HIGH/LOW VERSION. ===================================================================== -- L 2271 -- ( DETERMINING THE PROBABILITY OF AN INTERSECTION COUNT OF AT LEAST Q0 LOW OR Q0 EVEN, Q0 LOW OR Q0 ODD, Q0 HIGH OR Q0 EVEN, OR Q0 HIGH OR Q0 ODD ELEMENTS IN THE NEXT STAR EVENT ) III STAT2271 READS A SEQUENCE OF IMAX STAR EVENTS ON THE ELEMENTS L IN THE SEQUENCE < 1, 2, ... , L0 > AND DETERMINES THE INDICES OF STAR EVENTS CONTAINING AT LEAST (Q0 LOW OR Q0 EVEN) , (Q0 LOW OR Q0 ODD) , (Q0 HIGH OR Q0 EVEN) , OR (Q0 HIGH OR Q0 ODD) ELEMENTS (PROPERTY P). A (0,1)-FREQUENCY OCCURRENCE MATRIX OVER THE IMAX STAR EVENTS IS GENERATED AND A FREQUENCY CADENCE, 1/K, IS DETERMINED, WHERE K IS THE NUMBER OF STAR INDICES OVER WHICH AT LEAST Q0 ELEMENTS SATISFY PROPERTY P. IF NOT AT LEAST Q0 ELEMENTS SATISFY PROPERTY P OVER THE LAST ( K-1 ) STAR EVENTS, THEN THE CURRENT STAR EVENT SEQUENCE IS [*]-QUALIFIED FOR AT LEAST (Q0 LOW OR Q0 EVEN), (Q0 LOW OR Q0 ODD), (Q0 HIGH OR Q0 EVEN), OR (Q0 HIGH OR Q0 ODD) ELEMENTS IN THE NEXT STAR EVENT OF BASE.INP AFTER WHICH THE ROUTINE EXITS. STAT2271 READS UP TO 400 STAR EVENTS IN BASE.INP AND ANALYZES A VERY LARGE NUMBER OF TEST EVENTS IN STAT2272.INP. CF. ALSO STAT1809, STAT1810, STAT1032, STAT1033, STAT893, STAT894, STAT899, AND STAT933. STAT2271 IS A VARIANT OF STAT2270. CF. STAT2269 AND STAT2272. ===================================================================== -- L 2272 -- ( DETERMINING THE PROBABILITY OF AN INTERSECTION COUNT OF AT LEAST Q0 LOW AND Q0 EVEN, Q0 LOW AND Q0 ODD, Q0 HIGH AND Q0 EVEN, OR Q0 HIGH AND Q0 ODD ELEMENTS IN THE NEXT STAR EVENT ) IV STAT2272 READS A SEQUENCE OF IMAX STAR EVENTS ON THE ELEMENTS L IN THE SEQUENCE < 1, 2, ... , L0 > AND DETERMINES THE INDICES OF STAR EVENTS CONTAINING AT LEAST (Q0 LOW AND Q0 EVEN) , (Q0 LOW AND Q0 ODD) , (Q0 HIGH AND Q0 EVEN) , OR (Q0 HIGH AND Q0 ODD) ELEMENTS (PROPERTY P). A (0,1)-FREQUENCY OCCURRENCE MATRIX OVER THE IMAX STAR EVENTS IS GENERATED AND A FREQUENCY CADENCE, 1/K, IS DETERMINED, WHERE K IS THE NUMBER OF STAR INDICES OVER WHICH AT LEAST Q0 ELEMENTS SATISFY PROPERTY P. IF NOT AT LEAST Q0 ELEMENTS SATISFY PROPERTY P OVER THE LAST ( K-1 ) STAR EVENTS, THEN THE CURRENT STAR EVENT SEQUENCE IS [*]-QUALIFIED FOR AT LEAST (Q0 LOW AND Q0 EVEN), (Q0 LOW AND Q0 ODD), (Q0 HIGH AND Q0 EVEN), OR (Q0 HIGH AND Q0 ODD) ELEMENTS IN THE NEXT STAR EVENT OF BASE.INP AFTER WHICH THE ROUTINE EXITS. STAT2272 READS UP TO 400 STAR EVENTS IN BASE.INP AND ANALYZES A VERY LARGE NUMBER OF TEST EVENTS IN STAT2272.INP. CF. ALSO STAT1809, STAT1810, STAT1032, STAT1033, STAT893, STAT894, STAT899, AND STAT933. STAT2272 IS A VARIANT OF STAT2270. CF. STAT2269 AND STAT2270. CF. ALSO STAT2155 AND STAT2156. ===================================================================== -- L 2273 -- ( FILTERING K0-ELEMENT STAR EVENTS HAVING PRESCRIBED COMBINATIONS OF CARDINALITIES OF EVEN, ODD, HIGH, LOW, LOW & EVEN, LOW & ODD, HIGH & EVEN, HIGH & ODD FOR PREDICTING WHETHER ONE OR ANOTHER COMBINATION SHOULD DOMINATE IN THE NEXT STAR EVENT, BASED UPON OUTCOMES OVER SELECTED RANGES OF STAR EVENT INDICES FROM BASE.INP ) VII STAT2273 READS A SEQUENCE OF IMAX STAR EVENTS FROM BASE.INP AND A SEQUENCE OF 8-DIMENSIONAL VECTORS, [ B1,B2,B3,B4,B5,B6,B7,B8 ] <===> [ L , H , E , O , L&O , L&E , H&O , H&E ] , FROM STAT2273.IN2, WHERE L, H, E, AND O REPRESENT THE NUMBER OF LOW, HIGH, EVEN, AND ODD ELEMENTS PER STAR EVENT, WITH ELEMENTS CLASSIFIED AS EITHER EVEN, ODD, LOW ( LESS THAN L0/2), OR HIGH (GREATER THAN L0/2). AN OCCURRENCE CADENCE FOR QUALIFYING STAR EVENTS WITH CARDINALITIES OF ELEMENTS MATCHING THE 8-DIMENSIONAL CONFIGURATION VECTOR IS DETERMINED. STAT2273 IS A VARIANT OF STAT2138, SELECTING AN ARBITRARY CUT-POINT. CF. STAT2280. CF. ALSO STAT2135, STAT1541 AND STAT1542. ===================================================================== -- L 2274 -- ( FILTERING K0-ELEMENT STAR EVENTS HAVING PRESCRIBED COMBINATIONS OF CARDINALITIES OF EVEN, ODD, HIGH, LOW, LOW & EVEN, LOW & ODD, HIGH & EVEN, HIGH & ODD FOR PREDICTING WHETHER ONE OR ANOTHER COMBINATION SHOULD DOMINATE IN THE NEXT STAR EVENT, BASED UPON OUTCOMES OVER SELECTED RANGES OF STAR EVENT INDICES FROM BASE.INP ) VIII STAT2274 READS A SEQUENCE OF IMAX STAR EVENTS FROM BASE.INP AND A SEQUENCE OF 8-DIMENSIONAL VECTORS, [ B1,B2,B3,B4,B5,B6,B7,B8 ] <===> [ L , H , E , O , L&O , L&E , H&O , H&E ] , FROM STAT2274.IN2, WHERE L, H, E, AND O REPRESENT THE NUMBER OF LOW, HIGH, EVEN, AND ODD ELEMENTS PER STAR EVENT, WITH ELEMENTS CLASSIFIED AS EITHER EVEN, ODD, LOW ( LESS THAN L0/2), OR HIGH (GREATER THAN L0/2). AN OCCURRENCE CADENCE FOR QUALIFYING STAR EVENTS WITH CARDINALITIES OF ELEMENTS MATCHING THE 8-DIMENSIONAL CONFIGURATION VECTOR IS DETERMINED. STAT2274 IS A VARIANT OF STAT2273, SELECTING AN ARBITRARY CUT-POINT. HOWEVER, INPUT CONFIGURATIONS FROM STAT2274.IN2 ARE CYCLICALLY TESTED UNTIL A CONFIGURATION IS [*]-QUALIFIED AND THIS CONFIGURATION FILTERED AND RECORDED INTO STAT2280.IN2. THIS PROCESS IS REPEATED UNTIL A DESIRED NUMBER OF QUALIFYING CONFIGURATIONS IS ATTAINED. CF. STAT2280. CF. ALSO STAT2273, STAT2135, STAT1541 AND STAT1542. ===================================================================== -- L 2275 -- ( LOW or EVEN OR LOW-or-ODD ELEMENT BIAS ) ( FILTERING K0-ELEMENT EVENTS FROM A FIXED BLOCK BASED UPON A CARDINALITY OF EITHER A LOW-or-EVEN or LOW-or-ODD ELEMENT BIAS PER EVENT OVER ALL STAR EVENTS ) STAT2275 READS A SEQUENCE OF IMAX K0-ELEMENT STAR EVENTS IN BASE.INP AND FILTERS THOSE EVENTS FROM A DESIRED RANGE OF STAR EVENTS, THE CARDINALITY OF WHOSE LOW-or-EVEN OR LOW-or-ODD ELEMENTS LIE IN A RANGE. IT ALSO FILTERS TEST EVENTS FROM STAT2275.INP, THE CARDINALITY OF WHOSE ELEMENTS LIE IN THE SAME SELECTED RANGE. THE CARDINALITY OF LOW or EVENS LOW or ODDS FOR THE FINAL STAR EVENT IS COMPARED WITH THE AVERAGE CARDINALITY OF EVENTS OVER ALL STAR EVENTS AND A BIAS IS DETERMINED WHICH ALLOWS FOR TACIT PREDICTION OF THE CARDINALITY OF LOW or EVENS OR LOW or ODDS FOR THE NEXT STAR EVENT. THE ROUTINE ALSO PREDICTS THE NEXT SUCCESSFUL STAR EVENT WILL HAVE A CARDINALITY OF LOW or EVENS OR LOW or ODDS WITHIN THE DESIRED RANGE. STAT2275 IS A VARIANT OF STAT2155, PROCESSING CARDINALITIES OF EVENT ELEMENTS, RATHER THAN SUMS OF ELEMENTS OF TEST EVENTS. THE ROUTINE PROCESSES UP TO 1000 INPUT EVENTS AND 1000 STAR EVENTS PER EXECUTION. CF. STAT742 FOR ANALYSIS OF SUM OF ELEMENT BIASES. CF. ALSO STAT2154, STAT2156, STAT2157, STAT2158, STAT2159 AND STAT2160. CF. STAT2155. ===================================================================== -- L 2276 -- ( HIGH-or-EVEN OR HIGH-or-ODD ELEMENT BIAS ) ( FILTERING K0-ELEMENT EVENTS FROM A FIXED BLOCK BASED UPON A CARDINALITY OF EITHER A HIGH-or-EVEN OR HIGH-or-ODD ELEMENT BIAS PER EVENT OVER ALL STAR EVENTS ) STAT2276 READS A SEQUENCE OF IMAX K0-ELEMENT STAR EVENTS IN BASE.INP AND FILTERS THOSE EVENTS FROM A DESIRED RANGE OF STAR EVENTS, THE CARDINALITY OF WHOSE HIGH-or-EVEN OR HIGH-or-ODD ELEMENTS LIE IN A RANGE. IT ALSO FILTERS TEST EVENTS FROM STAT2276.INP, THE CARDINALITY OF WHOSE ELEMENTS LIE IN THE SAME SELECTED RANGE. THE CARDINALITY OF HIGH-or- EVENS, HIGH-or-ODDS FOR THE FINAL STAR EVENT IS COMPARED WITH THE AVERAGE CARDINALITY OF EVENTS OVER ALL STAR EVENTS AND A BIAS IS DETERMINED WHICH ALLOWS FOR TACIT PREDICTION OF THE CARDINALITY OF HIGH-or-EVENS OR HIGH-or-ODDS FOR THE NEXT STAR EVENT. THE ROUTINE ALSO PREDICTS THE NEXT SUCCESSFUL STAR EVENT WILL HAVE A CARDINALITY OF LOW-or-EVENS OR HIGH/ODDS WITHIN THE DESIRED RANGE. STAT2276 IS A VARIANT OF STAT2155, PROCESSING CARDINALITIES OF EVENT HIGH-or-ODD OR HIGH/EVEN , RATHER LOW-or-ODD OR LOW/EVEN EVENTS. THE ROUTINE PROCESSES UP TO 1000 INPUT EVENTS AND 1000 STAR EVENTS PER EXECUTION. CF. STAT742 FOR ANALYSIS OF SUM OF ELEMENT BIASES. CF. ALSO STAT2154, STAT2276, STAT2157, STAT2158, STAT2159 AND STAT2160. CF. STAT2156. ===================================================================== -- L 2277 -- ( HIGH-PROBABILITY PERMUTATION GENERATOR ) CONSTRUCTION OF PERMUTATIONS BASED UPON PREDETERMINED ELEMENTS RANKED IN SOME SELECTED OR DESIRED ASCENDING OR DESCENDING ORDER V STAT2277 READS A MATRIX OF QUICK-STATS ON ELEMENTS L IN < 1,...,L0 > IN STAT2277.INP AND A SEQUENCE OF IMAX STAR EVENTS IN BASE.INP. A PERMUTATION IS CONSTRUCTED BASED UPON ELEMENTS RANKED IN SOME DESIRED ORDER FROM COLUMN # 1 OF THE INPUT MATRIX IN STAT2277.INP. THE INPUT FILE STAT2277.INP CAN BE GENERATED VIA G. HOWARD'S ADVANTAGE PLUS, FOR EXAMPLE. CF. ALSO STAT2265, STAT2266, STAT2267, AND STAT2268. A CUMULATIVE FILE OF HIGH-PROBABILITY PERMUTATIONS IS RECORDED IN PERM2.OUT. ===================================================================== -- L 2278 -- ( GENERATION OF HIGH-PROBABILITY SUB-PERMUTATIONS VIA PRESCRIBED SYNCOPATED SUB-INDICES OF SELECTED PERMUTATIONS ) XX READS A SEQUENCE OF PERMUTATIONS OF SIZES UP TO 54 FROM PERM.INP, A SEQUENCE OF Q0-ELEMENT PERMUTATIONS OF SELECTED SYNCOPATED INDICES IN PERM2.INP AND A SEQUENCE OF IMAX K0-ELEMENT STAR EVEMTS IN BASE.INP. PERMUTATIONS OF VARYING LENGTHS ARE GENERATED FROM PERM.INP VIA THE INDICES OF PERMS IN PERM2.INP. GENERATED PERMUTATIONS ARE UTILIZED IN WHEELING SYSTEMS OR OTHER ROUTINES. STAT2278 READS UP TO 100 INPUT PERMUTATIONS AND UP TO 600 STAR EVENTS. STAT2278 IS A VARIANT OF STAT2222. CF. ALSO STAT2163, STAT2167, AND STAT2174. A CUMULATIVE FILE OF HIGH-PROBABILITY PERMUTATIONS IS RECORDED IN PERM2.OUT. ===================================================================== -- L 2279 -- ( TRANSLATING AND PREDICTING INTERSECTION PERFORMANCE OF EACH EVENT OF A BLOCK OF K0-ELEMENT EVENTS GENERATED FROM HORIZONTAL PAIRS OR TRIADS OF ELEMENTS UNION CYCLICAL V-CONFIGURATIONS OR INVERTED CYCLICAL V-CONFIGURATIONS ) XX STAT2279 READS A FIXED BLOCK OF BMAX K0-ELEMENT TEST EVENTS FROM STAT2279.INP, A SEQUENCE OF CMAX K0-ELEMENT TRANSLATION VECTORS FROM STAT2279.IN2 AND A SEQUENCE OF IMAX K0-ELEMENT STAR EVENTS FROM BASE.INP. K0-ELEMENT EVENTS ARE GENERATED FROM HORIZONTAL PAIRS OR TRIADS OF ELEMENTS UNION CYCLICAL V-CONFIGURATIONS OR INVERTED CYCLICAL V-CONFIGURATIONS. EVENTS ARE TRANSLATED BY VECTORS FROM STAT2279.IN2 AND THE TRANSFORMED 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. STAT2279 IS A VARIANT OF STAT2188, TACITLY GENERATING A SEQUENCE OF HIGH-PROBABILITY TEST EVENTS IN STAT2279.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 STAT2279.INP ARE INCLUDED AS OUTPUT EVENTS. CF. STAT1649. CF. STAT1641 FOR GENERATING STAT2279.INP IN THE FORM OF STAT94.INP. CF. ALSO STAT1323, STAT1505, STAT1506, STAT1511, STAT1618 AND STAT1631. INPUT EVENTS IN STAT2279.INP MAY BE TACITLY GENERATED BY STAT1438 AS STAT94.INP. CF. STAT1438. CF. STAT204 FOR THE GENERATION OF STAT2279.INP AND CF. STAT2171 FOR THE GENERATION OF STAT2279.IN2. CF. STAT2186 FOR GENERATING STAT2279.INP AS STAT94.INP. CF. ALSO STAT1654 AND STAT2188. ===================================================================== -- L 2280 -- ( FILTERING K0-ELEMENT TEST EVENTS HAVING PRESCRIBED COMBINATIONS OF CARDINALITIES OF EVEN, ODD, HIGH, LOW, LOW & EVEN, LOW & ODD, HIGH & EVEN, HIGH & ODD BASED UPON PREVIOUSLY DETERMINED QUALIFYING COMBINATIONS OVER SELECTED RANGES OF STAR EVENT INDICES FROM BASE.INP ) X STAT2280 READS A LARGE SEQUENCE OF BMAX TEST EVENTS FROM STAT2280.INP AND A SEQUENCE OF 8-DIMENSIONAL VECTORS, [ B1,B2,B3,B4,B5,B6,B7,B8 ] <===> [ L , H , E , O , L&O , L&E , H&O , H&E ] , FROM STAT2280.IN2, WHERE L, H, E, AND O REPRESENT THE NUMBER OF LOW, HIGH, EVEN, AND ODD ELEMENTS PER STAR EVENT, WITH ELEMENTS CLASSIFIED AS EITHER EVEN, ODD, LOW ( LESS THAN L0/2), OR HIGH (GREATER THAN L0/2). THOSE EVENTS FROM STAT2280.INP WHICH MATCH AT LEAST ONE OF THE CONFIGURATIONS FROM STAT2280.IN2 ARE FILTERED AS HIGH-PROBABILITY TEST EVENTS. STAT2280 IS A VARIANT OF STAT2273. CF. STAT2273 FOR GENERATION OF APPROPRIATE CONFIGURATION VECTORS TO BE UTILIZED IN STAT2280.IN2. CF. ALSO STAT2135, STAT1541 AND STAT1542. ===================================================================== -- L 2281 -- ( GENERATING HIGH-PROBABILITY EVENTS BY SELECTING DISCRETE SUBSETS OF ELEMENTS FROM TRIANGULAR CONFIGURATIONS OF ADJACENT PAIRS OF EVENTS ) STAT2281 READS A FIXED BLOCK OF BMAX K0-ELEMENT TEST EVENTS FROM STAT2281.INP, AND A SEQUENCE OF IMAX K0-ELEMENT STAR EVENTS FROM BASE.INP. HIGH-PROBABILITY K0-ELEMENT EVENTS ARE GENERATED FROM STAT2281.INP BY SELECTING DISCRETE SUBSETS OF ELEMENTS FROM TRIANGULAR CONFIGURATIONS OF ADJACENT PAIRS OF EVENTS. EACH EVENT IS 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. STAT2281 IS A VARIANT OF STAT2281, TACITLY GENERATING A SEQUENCE OF HIGH-PROBABILITY TEST EVENTS IN STAT2281.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 STAT2281.INP ARE INCLUDED AS OUTPUT EVENTS. CF. STAT1649. CF. STAT1641 FOR GENERATING STAT2281.INP IN THE FORM OF STAT94.INP. CF. ALSO STAT1323, STAT1505, STAT1506, STAT1511, STAT1618 AND STAT1631. INPUT EVENTS IN STAT2281.INP MAY BE TACITLY GENERATED BY STAT1438 AS STAT94.INP. CF. STAT1438. CF. STAT1504 FOR THE GENERATION OF STAT2281.INP. CF. ALSO STAT2064. INPUT EVENTS FROM THE FILE STAT2281.INP ARE, OPTIONALLY, INCLUDED AS OUTPUT IN STAT94.INP. ===================================================================== -- L 2282 -- ( GENERATING HIGH-PROBABILITY EVENTS BY SELECTING DISCRETE SUBSETS OF ELEMENTS FROM BIPARTITE ROWS OF A FIXED BLOCK OF TEST EVENTS ) STAT2282 READS A FIXED BLOCK OF BMAX K0-ELEMENT TEST EVENTS FROM STAT2282.INP, A SEQUENCE OF CMAX K0-ELEMENT COLUMN-INDEX VECTORS FROM STAT2282.IN2 AND A SEQUENCE OF IMAX K0-ELEMENT STAR EVENTS FROM BASE.INP. HIGH-PROBABILITY K0-ELEMENT EVENTS ARE GENERATED BY SELECTING DISCRETE SUBSETS OF ELEMENTS FROM BIPARTITE ROWS OF STAT2282.INP VIA COLUMN-INDEX VECTORS FROM STAT2282.IN2. EACH EVENT IS 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. STAT2282 IS A VARIANT OF STAT2064, TACITLY GENERATING A SEQUENCE OF HIGH-PROBABILITY TEST EVENTS IN STAT2282.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 STAT2282.INP ARE INCLUDED AS OUTPUT EVENTS. CF. STAT1649. CF. STAT1641 FOR GENERATING STAT2282.INP IN THE FORM OF STAT94.INP. CF. ALSO STAT1323, STAT1505, STAT1506, STAT1511, STAT1618 AND STAT1631. INPUT EVENTS IN STAT2282.INP MAY BE TACITLY GENERATED BY STAT1438 AS STAT94.INP. CF. STAT1438. CF. STAT1504 FOR THE GENERATION OF STAT2282.INP. CF. ALSO STAT2064. THE COLUMN-INDEX ELEMENTS OF STAT2282.IN2 ARE AUTOMATICALLY ADJUSTED (MOD K0). INPUT EVENTS FROM THE FILE STAT2282.INP ARE, OPTIONALLY, INCLUDED AS OUTPUT IN STAT94.INP. ===================================================================== -- L 2283 -- MONITOR MATRIX GENERATOR XXXX FREQUENCY COUNTS FOR A SEQUENCE OF ELEMENTS < 1 , 2, ... , L0 > VS. PRESCRIBED COLUMNS OVER THE 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. STAT2283 IS A REPLICA OF STAT2183, ANALYZING EACH FIXED ELEMENT OF T OVER PRESCRIBED COLUMNS OF ELEMENTS 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 M1 (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 IN BASE.INP. NUMBER OF ELAPSED EVENTS PER OCCURRENCE OF ELEMENT L, AND M1 IS THE DESIRED THRESHOLD VALUE FOR INDEXES: M1 (MOD KCT). STAT2283 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). STAT2283 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. ===================================================================== -- L 2284 -- ( FILTERING A PRESCRIBED NUMBER OF EVENTS FROM A LARGE SEQUENCE BY SELECTING EVENTS HAVING ELEMENTS IN COLUMNS 1 AND K0 WHICH LIE WITHIN PRESCRIBED RANGES RECORDED IN ROWS 1 AND K0 OF PERM.INP ) V STAT2284 READS A LARGE BLOCK OF K0-ELEMENT TEST EVENTS FROM STAT2284.INP, A SEQUENCE OF DMAX K0-ELEMENT TRANSLATION EVENTS IN STAT2284.IN2, A SEQUENCE OF CMAX ENUM(I)-ELEMENT PERMUTATIONS IN PERM.INP, AND A SEQUENCE OF IMAX K0-ELEMENT STAR EVENTS FROM BASE.INP. K0-ELEMENT EVENTS OF A DESIRED BLOCK-SIZE ARE FILTERED FROM STAT2284.INP BY SELECTING EVENTS HAVING ELEMENTS IN COLUMNS 1 AND K0 WHICH LIE WITHING PRESCRIBED RANGES RECORDED IN ROWS 1 AND K0 OF PERM.INP. THIS PROCESS IS CYCLICALLY REPEATED AND DISCOVERED WHICH SATISFY THE FILTERING CRITERION FOR [*]-QUALIFICATION. EVENTS ARE INTERSECTED WITH THE SEQUENCE OF STAR EVENTS FROM BASE.INP. STAT2284 ALSO RECORDS THE STAR EVENTS WHICH SATISFY THE CRITERION ABOVE. 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. STAT2284 IS A VARIANT OF STAT2170, TACITLY GENERATING A SEQUENCE OF HIGH-PROBABILITY TEST EVENTS IN STAT2284.OUT AND STAT94.INP. CF. STAT2283 FOR GENERATING PERM.INP FOR DETERMINING ELEMENT ELEMENT RANGES. CF. ALSO STAT1323, STAT1505, STAT1506, STAT1511, STAT1618, STAT1631, STAT450, STAT453, STAT1004, STAT638, STAT639, STAT695, STAT583, STAT584, STAT585, STAT586, STAT589, AND STAT590. A CUMULATIVE FILE OF 4-ELEMENT COLUMN-INDEX-RANGE PAIRS IS RECORDED IN STAT2284.IN4 AS HIGH-PROBABILITY INPUT EVENTS FOR FUTURE EXECUTIONS. ===================================================================== -- L 2285 -- ( FILTERING A PRESCRIBED NUMBER OF EVENTS FROM A LARGE SEQUENCE BY SELECTING EVENTS HAVING ELEMENTS IN PRESCRIBED RANGES RECORDED IN A SPECIFIED FILE ) V STAT2285 READS A LARGE BLOCK OF K0-ELEMENT TEST EVENTS FROM STAT2285.INP, A SEQUENCE OF DMAX K0-ELEMENT TRANSLATION EVENTS IN STAT2285.IN2, A SEQUENCE OF CMAX 4-ELEMENT COLUMN-INDEX-RANGE PAIRS IN STAT2285.IN3, AND A SEQUENCE OF IMAX K0-ELEMENT STAR EVENTS FROM BASE.INP. K0-ELEMENT EVENTS OF A DESIRED BLOCK-SIZE ARE FILTERED FROM STAT2285.INP BY SELECTING EVENTS HAVING ELEMENTS IN COLUMNS 1 AND K0 WHICH LIE WITHING PRESCRIBED RANGES RECORDED IN ROWS 1 AND K0 OF PERM.INP. THIS PROCESS IS CYCLICALLY REPEATED AND DISCOVERED WHICH SATISFY THE FILTERING CRITERION FOR [*]-QUALIFICATION. EVENTS ARE INTERSECTED WITH THE SEQUENCE OF STAR EVENTS FROM BASE.INP. STAT2285 ALSO RECORDS THE STAR EVENTS WHICH SATISFY THE CRITERION ABOVE. 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. STAT2285 IS A VARIANT OF STAT2170, TACITLY GENERATING A SEQUENCE OF HIGH-PROBABILITY TEST EVENTS IN STAT2285.OUT AND STAT94.INP. CF. STAT2283 FOR GENERATING PERM.INP FOR DETERMINING ELEMENT ELEMENT RANGES. CF. ALSO STAT1323, STAT1505, STAT1506, STAT1511, STAT1618, STAT1631, STAT450, STAT453, STAT1004, STAT638, STAT639, STAT695, STAT583, STAT584, STAT585, STAT586, STAT589, AND STAT590. A CUMULATIVE FILE OF 4-ELEMENT COLUMN-INDEX-RANGE PAIRS IS RECORDED IN STAT2285.IN4 AS HIGH-PROBABILITY INPUT EVENTS FOR FUTURE EXECUTIONS. ===================================================================== -- L 2286 -- ( READS AS LARGE SEQUENCE OF K0-ELEMENT EVENTS FROM STAT2286.INP AND TRANSFORMS EACH EVENT INTO AN EVENT WITH K0 UNIQUE OR NON-REPEATING ELEMENTS ) STAT2286 READS A LARGE SEQUENCE OF K0-ELEMENT TEST EVENTS FROM STAT2286.INP. EACH K0-ELEMENT EVENT ( D(J),J=1,...,K0)) FROM STAT2286.INP IS TRANSFORMED INTO AN EVENT WITH UNIQUE, NON-REPEATING ELEMENTS. TRANSFORMED EVENTS FROM STAT2286.INP ARE RECORDED IN STAT2286.OUT. STAT2286 IS A VARIANT OF STAT2172, BUT ONLY PERFORMS THE TRANSLATION FUNCTION. CF. ALSO STAT2431. ===================================================================== -- L 2287 -- ( FILTERING A PRESCRIBED NUMBER OF EVENTS FROM A LARGE SEQUENCE BY SELECTING EVENTS HAVING ELEMENT SUMS IN A DESIRED INTEGRAL RANGE, [ Q1,Q2 ], BASED UPON CONCURRENT PERFORMANCE VS. IMAX STAR EVENTS WITH QUALIFYING SUMS SELECTED OVER UNIT STEP-SIZES OR INCREMENTS ) IX STAT2287 READS A LARGE BLOCK OF K0-ELEMENT TEST EVENTS FROM STAT2287.INP AND A SEQUENCE OF IMAX K0-ELEMENT STAR EVENTS FROM BASE.INP. K0-ELEMENT EVENTS OF A DESIRED BLOCK-SIZE ARE FILTERED FROM STAT2287.INP BY SELECTING EVENTS HAVING ELEMENT SUMS IN A DESIRED RANGE, [ Q1,Q2 ]. THIS PROCESS IS REPEATED AND EVENTS DISCOVERED WHICH SATISFY THE FILTERING CRITERION FOR [*]-QUALIFICATION. EVENTS ARE INTERSECTED WITH THE SEQUENCE OF STAR EVENTS FROM BASE.INP. STAT2287 ALSO RECORDS THE STAR EVENTS WHICH SATISFY THE CRITERION ABOVE. 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. STAT2287 IS A VARIANT OF STAT2288, TACITLY GENERATING A SEQUENCE OF HIGH-PROBABILITY TEST EVENTS IN STAT2287.OUT AND STAT94.INP, BUT RESTICTING QUALIFYING SUMS OF ELEMENTS OVER SELECTED STEP-SIZES. THE ROUTINE IS AUTOMATICALLY TERMINATED WHEN A QUALIFYING SUM IS ATTAINED. CF. STAT2283 FOR GENERATING PERM.INP FOR DETERMINING ELEMENT RANGES. CF. ALSO STAT1323, STAT1505, STAT1506, STAT1511, STAT1618, STAT1631, STAT450, STAT453, STAT1004, STAT638, STAT639, STAT695, STAT583, STAT584, STAT585, STAT586, STAT589, AND STAT590. A CUMULATIVE FILE OF ELEMENT-SUM-RANGE PAIRS IS RECORDED IN STAT2287.IN4 AS HIGH-PROBABILITY INPUT EVENTS FOR FUTURE EXECUTIONS. ===================================================================== -- L 2288 -- ( FILTERING A PRESCRIBED NUMBER OF EVENTS FROM A LARGE SEQUENCE BY SELECTING EVENTS HAVING ELEMENT SUMS IN A DESIRED INTEGRAL RANGE, [ Q1,Q2 ], BASED UPON CONCURRENT PERFORMANCE VS. IMAX STAR EVENTS ) X STAT2288 READS A LARGE BLOCK OF K0-ELEMENT TEST EVENTS FROM STAT2288.INP, A SEQUENCE OF DMAX K0-ELEMENT TRANSLATION EVENTS IN STAT2288.IN2 AND A SEQUENCE OF IMAX K0-ELEMENT STAR EVENTS FROM BASE.INP. K0-ELEMENT EVENTS OF A DESIRED BLOCK-SIZE ARE FILTERED FROM STAT2288.INP BY SELECTING EVENTS HAVING ELEMENT SUMS IN A DESIRED RANGE, [ Q1,Q2 ]. THIS PROCESS IS REPEATED AND EVENTS DISCOVERED WHICH SATISFY THE FILTERING CRITERION FOR [*]-QUALIFICATION. EVENTS ARE INTERSECTED WITH THE SEQUENCE OF STAR EVENTS FROM BASE.INP. STAT2288 ALSO RECORDS THE STAR EVENTS WHICH SATISFY THE CRITERION ABOVE. 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. STAT2288 IS A VARIANT OF STAT2284, TACITLY GENERATING A SEQUENCE OF HIGH-PROBABILITY TEST EVENTS IN STAT2288.OUT AND STAT94.INP. CF. STAT2283 FOR GENERATING PERM.INP FOR DETERMINING ELEMENT RANGES. CF. ALSO STAT1323, STAT1505, STAT1506, STAT1511, STAT1618, STAT1631, STAT450, STAT453, STAT1004, STAT638, STAT639, STAT695, STAT583, STAT584, STAT585, STAT586, STAT589, AND STAT590. A CUMULATIVE FILE OF ELEMENT-SUM-RANGE PAIRS IS RECORDED IN STAT2288.IN4 AS HIGH-PROBABILITY INPUT EVENTS FOR FUTURE EXECUTIONS. ===================================================================== -- L 2289 -- ( FILTERING A PRESCRIBED NUMBER OF EVENTS FROM A LARGE SEQUENCE BY SELECTING EVENTS HAVING ELEMENT SUMS IN A DESIRED INTEGRAL RANGE, [ Q1,Q2 ], BASED UPON CONCURRENT PERFORMANCE VS. IMAX STAR EVENTS RECORDED IN A SPECIFIED FILE ) XII STAT2289 READS A LARGE BLOCK OF K0-ELEMENT TEST EVENTS FROM STAT2289.INP, A SEQUENCE OF DMAX K0-ELEMENT TRANSLATION EVENTS IN STAT2289.IN2, A SEQUENCE OF CMAX ELEMENT-SUM VECTOR PAIRS IN STAT2289.IN3, AND A SEQUENCE OF IMAX K0-ELEMENT STAR EVENTS FROM BASE.INP. K0-ELEMENT EVENTS OF A DESIRED BLOCK-SIZE ARE FILTERED FROM STAT2289.INP BY SELECTING EVENTS HAVING ELEMENT SUMS WITHIN A DESIRED INTEGRAL RANGE, [ Q1,Q2 ], BASED UPON CONCURRENT PERFORMANCE VS. IMAX STAR EVENTS RECORDED IN A SPECIFIED FILE. EVENTS ARE DISCOVERED WHICH SATISFY THE FILTERING CRITERION FOR [*]-QUALIFICATION. EVENTS ARE INTERSECTED WITH THE SEQUENCE OF STAR EVENTS FROM BASE.INP. STAT2289 ALSO RECORDS THE STAR EVENTS WHICH SATISFY THE CRITERION ABOVE. 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. STAT2289 IS AN HYBRID OF STAT2285 AND STAT2288, GENERATING A SEQUENCE OF HIGH-PROBABILITY TEST EVENTS IN STAT2289.OUT AND STAT94.INP. CF. STAT2283 FOR GENERATING PERM.INP FOR DETERMINING ELEMENT ELEMENT RANGES. CF. ALSO STAT1323, STAT1505, STAT1506, STAT1511, STAT1618, STAT1631, STAT450, STAT453, STAT1004, STAT638, STAT639, STAT695, STAT583, STAT584, STAT585, STAT586, STAT589, AND STAT590. A CUMULATIVE FILE OF ELEMENT-SUM-RANGE PAIRS IS RECORDED IN FILE STAT2289.IN4 AS HIGH-PROBABILITY INPUT EVENTS FOR FUTURE EXECUTIONS. ===================================================================== -- L 2290 -- ( CREATING HIGH-PROBABILITY K0-ELEMENT EVENTS FROM SCROLLING X-CONFIGURATIONS OF ADJACENT OR BIPARTITE PAIRS OF EVENTS FROM A FIXED BLOCK ) STAT2290 READS A FIXED BLOCK OF BMAX K0-ELEMENT TEST EVENTS FROM STAT2290.INP, A SEQUENCE OF TTMAX K0-ELEMENT TRANSLATION VECTORS FROM STAT2290.IN2, A SEQUENCE OF VMAX (0,1)-ELEMENT X-CONFIGURATION VECTORS FROM STAT2290.IN3, AND A SEQUENCE OF IMAX K0-ELEMENT STAR EVENTS FROM BASE.INP. HIGH-PROBABILITY K0-ELEMENT EVENTS ARE CREATED FROM SCROLLING X-CONFIGURATIONS OF ADJACENT OR BIPARTITE PAIRS OF EVENTS FROM STAT2290.INP. EACH EVENT IS TRANSLATED BY EACH VECTOR FROM THE SEQUENCE IN STAT2290.IN2 AND THE TRANSLATED 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. STAT2290 IS A VARIANT OF STAT2064, TACITLY GENERATING A SEQUENCE OF HIGH-PROBABILITY TEST EVENTS IN STAT2290.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 STAT2290.INP ARE INCLUDED AS OUTPUT EVENTS. CF. STAT1649. CF. STAT1641 FOR GENERATING STAT2290.INP IN THE FORM OF STAT94.INP. CF. ALSO STAT1323, STAT1505, STAT1506, STAT1511, STAT1618 AND STAT1631. INPUT EVENTS IN STAT2290.INP MAY BE TACITLY GENERATED BY STAT1438 AS STAT94.INP. CF. STAT1438. CF. STAT2287 FOR THE GENERATION OF STAT2290.INP IN THE FORM OF STAT94.INP OR STAT2287.OT3. CF. STAT2171 FOR THE GENERATION OF STAT2290.IN2. CF. ALSO STAT1606. ===================================================================== -- L 2291 -- ( COMPUTING A FUNCTIONAL RESPONSE VALUE Y0 OF A PRESCRIBED PREDICTOR VALUE X0 , WHERE Y0 = P(X0) , FROM THE GIVEN COEFFICIENTS OF SPECIFIED LINEAR, QUADRATIC, CUBIC OR N-th DEGREE INTERPOLATING POLYNOMIAL(S), P(X) , WITH N .LE. 6 ) X STAT2292 READS A SPECIFIC PREDICTOR VARIABLE, X0, THE DEGREE, N, AND A Q0x(N+1)-DIMENSIONAL ARRAY OF COEFFICIENTS FOR INTERPOLATING POLYNOMIAL(S), P(X), AND COMPUTES THE PREDICTED RESPONSE, P(X0), FOR TIME SERIES ANALYSIS OR MINIMIM NORM LEAST SQUARE FITS FOR THE INTERPOLATING POLYNOMIAL(S). CF. STAT2234 AND MS EXCEL TO GENERATE THE REQUISITE COEFFICIENTS. STAT2291 PROCESSES PARAMETERS FOR POLYNOMIALS HAVING DEGREES .LE. 10. A CUMULATIVE FILE OF COMPUTED RESPONSE VALUES , < Y0 > , IS RECORDED IN STAT2291.OT2. CF. ALSO STAT2236. STAT2291 IS A VARIANT OF STAT2235 AND STAT2292. INTERPOLATING POLYNOMIAL COEFFICIENTS ARE READ FROM THE FILE STAT2291.INP, RATHER THAN BEING ENTERED IN REAL-TIME. REAL-VALUED COEFFICIENTS ARE PRESUMED TO BE LISTED ACCORDING TO ASCENDING POWERS OF X FOR A 6TH DEGREE POLYNOMIAL ON 7 POINTS, WITH NON-RELEVANT COEFFICIENTS BEING SET TO 0.0, WHICH ALLOWS FOR POLYNOMIALS OF SMALLER DEGREE. FILES FOR TEMPK.INP , K = 1,2,3,...,K0 , RECORD THE LAST N+1 ELEMENTS OF COLUMNS 1,2,3,...,K0 FROM THE IMAX STAR EVENTS OF BASE.INP. ===================================================================== -- L 2292 -- ( COMPUTING A FUNCTIONAL RESPONSE VALUE Y0 OF A PRESCRIBED PREDICTOR VALUE X0 , WHERE Y0 = P(X0) , FROM THE GIVEN COEFFICIENTS OF A SPECIFIED LINEAR, QUADRATIC, CUBIC OR N-th DEGREE INTERPOLATING POLYNOMIAL, P(X) , WITH N .LE. 6 ) XII STAT2292 READS A SPECIFIC PREDICTOR VARIABLE, X0, THE DEGREE, N, AND A K0x(N+1)-DIMENSIONAL ARRAY OF COEFFICIENTS FOR THE INTERPOLATING POLYNOMIAL, P(X), AND COMPUTES THE PREDICTED RESPONSE, P(X0), FOR TIME SERIES ANALYSIS OR MINIMIM NORM LEAST SQUARE FITS FOR THE INTERPOLATING POLYNOMIAL. CF. STAT2234 AND MS EXCEL FOR GENERATING THE REQUISITE COEFFICIENTS. STAT2292 PROCESSES PARAMETERS FOR POLYNOMIALS HAVING DEGREES .LE. 10. A CUMULATIVE FILE OF COMPUTED RESPONSE VALUES , < Y0 > , IS RECORDED IN STAT2292.OT2. CF. ALSO STAT2236. STAT2292 IS A VARIANT OF STAT2291. HOWEVER, INTERPOLATING POLYNOMIAL COEFFICIENTS ARE READ FROM THE FILE STAT2292.INP AS A K0x(N+1)-DIMENSIONAL ARRAY. REAL-VALUED COEFFICIENTS ARE TACITLY PRESUMED TO BE LISTED ACCORDING TO ASCENDING POWERS OF X FOR UP TO A 6TH DEGREE POLYNOMIAL ON 7 POINTS, WITH NON-RELEVANT COEFFICIENTS TRUNCATED, WHICH ALLOWS FOR POLYNOMIALS OF SMALLER DEGREE. MOREOVER, FILES FOR TEMPK.INP , K = 1,2,3,...,K0 , RECORD THE LAST N+1 ELEMENTS OF COLUMNS 1,2,3,...,K0 FROM THE IMAX STAR EVENTS OF BASE.INP. A CUMULATIVE FILE OF GENERATED HIGH-PROBABILITY EVENTS IS RECORDED IN CUMULAT.OUT. ===================================================================== -- L 2293 -- ( COMPUTING A FUNCTIONAL RESPONSE VALUE Y0 OF A PRESCRIBED PREDICTOR VALUE X0 , WHERE Y0 = P(X0) , FROM THE GIVEN COEFFICIENTS OF SPECIFIED LINEAR, QUADRATIC, CUBIC OR N-th DEGREE INTERPOLATING POLYNOMIAL(S), P(X) , WITH N .LE. 6 ) XIII STAT2292 READS A SPECIFIC PREDICTOR VARIABLE, X0, THE DEGREE, N, AND A Q0x(N+1)-DIMENSIONAL ARRAY OF COEFFICIENTS FOR INTERPOLATING POLYNOMIAL(S), P(X), AND COMPUTES THE PREDICTED RESPONSE, P(X0), FOR TIME SERIES ANALYSIS OR MINIMIM NORM LEAST SQUARE FITS FOR THE INTERPOLATING POLYNOMIAL(S). CF. STAT2234 AND MS EXCEL TO GENERATE THE REQUISITE COEFFICIENTS. STAT2293 PROCESSES PARAMETERS FOR POLYNOMIALS HAVING DEGREES .LE. 10. A CUMULATIVE FILE OF COMPUTED RESPONSE VALUES , < Y0 > , IS RECORDED IN STAT2293.OT2. CF. ALSO STAT2236. STAT2293 IS A VARIANT OF STAT2235 AND STAT2291. INTERPOLATING POLYNOMIAL COEFFICIENTS ARE READ FROM THE FILE STAT2293.INP, RATHER THAN BEING ENTERED IN REAL-TIME. REAL-VALUED COEFFICIENTS ARE PRESUMED TO BE LISTED ACCORDING TO ASCENDING POWERS OF X FOR A 6TH DEGREE POLYNOMIAL ON 7 POINTS, WITH NON-RELEVANT COEFFICIENTS BEING SET TO 0.0, WHICH ALLOWS FOR POLYNOMIALS OF SMALLER DEGREE. FILES FOR TEMPK.INP , K = 1,2,3,...,K0 , RECORD THE LAST N+1 ELEMENTS OF COLUMNS 1,2,3,...,K0 FROM THE IMAX STAR EVENTS OF BASE.INP. STAT2294 IS A VARIANT OF STAT2291. HOWEVER, A FIXED VALUE OF X0 = ( N+2 ) IS UTILIZED AS THE PREDICTOR VARIABLE IN EACH COLUMN IN THE DETERMINATION OF Y0. ===================================================================== -- L 2294 -- ( COMPUTING A FUNCTIONAL RESPONSE VALUE Y0 OF A PRESCRIBED PREDICTOR VALUE X0 , WHERE Y0 = P(X0) , FROM THE GIVEN COEFFICIENTS OF A SPECIFIED LINEAR, QUADRATIC, CUBIC OR N-th DEGREE INTERPOLATING POLYNOMIAL, P(X) , WITH N .LE. 6 ) XIV STAT2294 READS A SPECIFIC PREDICTOR VARIABLE, X0, THE DEGREE, N, AND A K0x(N+1)-DIMENSIONAL ARRAY OF COEFFICIENTS FOR THE INTERPOLATING POLYNOMIAL, P(X), AND COMPUTES THE PREDICTED RESPONSE, P(X0), FOR TIME SERIES ANALYSIS OR MINIMIM NORM LEAST SQUARE FITS FOR THE INTERPOLATING POLYNOMIAL. CF. STAT2234 AND MS EXCEL FOR GENERATING THE REQUISITE COEFFICIENTS. STAT2294 PROCESSES PARAMETERS FOR POLYNOMIALS HAVING DEGREES .LE. 10. A CUMULATIVE FILE OF COMPUTED RESPONSE VALUES , < Y0 > , IS RECORDED IN STAT2294.OT2. CF. ALSO STAT2236. STAT2294 IS A VARIANT OF STAT2292. HOWEVER, A FIXED VALUE OF X0 = ( N+2 ) IS UTILIZED AS THE PREDICTOR VARIABLE IN EACH COLUMN IN THE DETERMINATION OF Y0. REAL-VALUED COEFFICIENTS ARE TACITLY PRESUMED TO BE LISTED ACCORDING TO ASCENDING POWERS OF X FOR UP TO A 6TH DEGREE POLYNOMIAL ON 7 POINTS, WITH NON-RELEVANT COEFFICIENTS TRUNCATED, WHICH ALLOWS FOR POLYNOMIALS OF SMALLER DEGREE. MOREOVER, FILES FOR TEMPK.INP , K = 1,2,3,...,K0 , RECORD THE LAST N+1 ELEMENTS OF COLUMNS 1,2,3,...,K0 FROM THE IMAX STAR EVENTS OF BASE.INP. A CUMULATIVE FILE OF GENERATED HIGH-PROBABILITY EVENTS IS RECORDED IN CUMULAT.OUT. ===================================================================== -- L 2295 -- ( COMPUTING A FUNCTIONAL RESPONSE VALUE Y0 OF A PRESCRIBED PREDICTOR VALUE X0 , WHERE Y0 = P(X0) , FROM THE GIVEN COEFFICIENTS OF SPECIFIED LINEAR, QUADRATIC, CUBIC OR N-th DEGREE INTERPOLATING POLYNOMIAL(S), P(X) , WITH N .LE. 6 ) ( PREDICTOR VARIABLES Xi NORMALIZED (MOD L0) ) XIII STAT2292 READS A SPECIFIC PREDICTOR VARIABLE, X0, THE DEGREE, N, AND A Q0x(N+1)-DIMENSIONAL ARRAY OF COEFFICIENTS FOR INTERPOLATING POLYNOMIAL(S), P(X), AND COMPUTES THE PREDICTED RESPONSE, P(X0), FOR TIME SERIES ANALYSIS OR MINIMIM NORM LEAST SQUARE FITS FOR THE INTERPOLATING POLYNOMIAL(S). CF. STAT2234 AND MS EXCEL TO GENERATE THE REQUISITE COEFFICIENTS. STAT2295 PROCESSES PARAMETERS FOR POLYNOMIALS HAVING DEGREES .LE. 10. A CUMULATIVE FILE OF COMPUTED RESPONSE VALUES , < Y0 > , IS RECORDED IN STAT2295.OT2. CF. ALSO STAT2236. STAT2295 IS A VARIANT OF STAT2235 AND STAT2291. INTERPO- LATING POLYNOMIAL COEFFICIENTS ARE READ FROM THE FILE STAT2295.INP, RATHER THAN BEING ENTERED IN REAL-TIME. REAL-VALUED COEFFICIENTS ARE PRESUMED TO BE LISTED ACCORDING TO ASCENDING POWERS OF X FOR A 6TH DEGREE POLYNOMIAL ON 7 POINTS, WITH NON-RELEVANT COEFFICIENTS BEING SET TO 0.0, WHICH ALLOWS FOR POLYNOMIALS OF SMALLER DEGREE. FILES FOR TEMPK.INP , K = 1,2,3,...,K0 , RECORD THE LAST N+1 ELEMENTS OF COLUMNS 1,2,3,...,K0 FROM THE IMAX STAR EVENTS OF BASE.INP. STAT2294 IS A VARIANT OF STAT2291. HOWEVER, A FIXED VALUE OF X0 = ( IMAX+1 ) IS UTILIZED AS THE PREDICTOR VARIABLE IN EACH COLUMN IN THE DETERMINATION OF Y0. PREDICTOR VARIABLES Xi ARE EXPECTED TO BE NORMALIZED (MOD (L0)), WHEN PROCESSED BY EXCEL. ===================================================================== -- L 2296 -- ( COMPUTING A FUNCTIONAL RESPONSE VALUE Y0 OF A PRESCRIBED PREDICTOR VALUE X0 , WHERE Y0 = P(X0) , FROM THE GIVEN COEFFICIENTS OF A SPECIFIED LINEAR, QUADRATIC, CUBIC OR N-th DEGREE INTERPOLATING POLYNOMIAL, P(X) , WITH N .LE. 6 ) ( PREDICTOR VARIABLES Xi NORMALIZED (MOD L0) ) XIV STAT2296 READS A SPECIFIC PREDICTOR VARIABLE, X0, THE DEGREE, N, AND A K0x(N+1)-DIMENSIONAL ARRAY OF COEFFICIENTS FOR THE INTERPOLATING POLYNOMIAL, P(X), AND COMPUTES THE PREDICTED RESPONSE, P(X0), FOR TIME SERIES ANALYSIS OR MINIMIM NORM LEAST SQUARE FITS FOR THE INTERPOLATING POLYNOMIAL. CF. STAT2234 AND MS EXCEL FOR GENERATING THE REQUISITE COEFFICIENTS. STAT2296 PROCESSES PARAMETERS FOR POLYNOMIALS HAVING DEGREES .LE. 10. A CUMULATIVE FILE OF COMPUTED RESPONSE VALUES , < Y0 > , IS RECORDED IN STAT2296.OT2. CF. ALSO STAT2236. STAT2296 IS A VARIANT OF STAT2292. HOWEVER, A FIXED VALUE OF X0 = (IMAX+1) IS UTILIZED AS THE PREDICTOR VARIABLE IN EACH COLUMN IN THE DETERMINATION OF Y0. REAL-VALUED COEFFICIENTS ARE TACITLY PRESUMED TO BE LISTED ACCORDING TO ASCENDING POWERS OF X FOR UP TO A 6TH DEGREE POLYNOMIAL ON 7 POINTS, WITH NON-RELEVANT COEFFICIENTS TRUNCATED, WHICH ALLOWS FOR POLYNOMIALS OF SMALLER DEGREE. MOREOVER, FILES FOR TEMPK.INP , K = 1,2,3,...,K0 , RECORD THE LAST N+1 ELEMENTS OF COLUMNS 1,2,3,...,K0 FROM THE IMAX STAR EVENTS OF BASE.INP. A CUMULATIVE FILE OF GENERATED HIGH-PROBABILITY EVENTS IS RECORDED IN CUMULAT.OUT. PREDICTOR VARIABLES Xi ARE EXPECTED TO BE NORMALIZED (MOD (L0)), WHEN PROCESSED BY EXCEL. CF. ALSO STAT2293. ===================================================================== -- L 2297 -- ( GENERATING K0-ELEMENT EVENTS FROM A FIXED BLOCK VIA UNIONS OF SELECTED SUB-STRINGS FROM EACH PAIR OF ADJACENT EVENTS ) - CUP OR CAP CONFIGURATIONS - STAT2297 READS A FIXED BLOCK OF BMAX K0-ELEMENT TEST EVENTS FROM STAT2297.INP, A SEQUENCE OF IMAX K0-ELEMENT STAR EVENTS FROM BASE.INP. K0-ELEMENT EVENTS ARE GENERATED BY SELECTING UNIONS OF SUBSTRINGS FROM EACH PAIR OF ADJACENT EVENTS IN CUP/CAP CONFIGURATIONS. 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. STAT2297 IS A VARIANT OF STAT2100, TACITLY GENERATING A SEQUENCE OF HIGH-PROBABILITY TEST EVENTS IN STAT2297.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 STAT2297.INP ARE INCLUDED AS OUTPUT EVENTS. CF. STAT1649. CF. STAT1641 FOR GENERATING STAT2297.INP IN THE FORM OF STAT94.INP. CF. ALSO STAT1323, STAT1505, STAT1506, STAT1511, STAT1618 AND STAT1631. INPUT EVENTS IN STAT2297.INP MAY BE TACITLY GENERATED BY STAT1438 AS STAT94.INP. CF. STAT1438. CF. ALSO RANDOM BLOCK QP.536 OR QP.653 AS A POTENTIAL STAT2297.INP. ===================================================================== -- L 2298 -- ( DETERMINING THE LOW AND ODD, LOW AND EVEN, HIGH AND ODD , OR HIGH AND EVEN CONFIGURATION OF ELEMENT OF EACH EVENT OF A SEQUENCE OF IMAX STAR EVENTS ) III STAT2298 READS A SEQUENCE OF IMAX K0-ELEMENT STAR EVENTS FROM BASE.INP. THE LOW AND ODD, LOW AND EVEN, HIGH AND ODD, HIGH AND EVEN CONFIGURATION OF ELEMENT OF EACH STAR EVENT IS DETERMINED FOR FUTURE PROCESSING IN OTHER ROUTINES, E.G., STAT2300. CF. ALSO STAT2299. STAT2298 FILTERS THOSE CONFIGURATION TYPES FROM STAR EVENTS WHICH FOLLOW THE IDENTIFIED FINAL CONFIGURATION TYPE OVER ALL IMAX STAR EVENTS AND RECORDS THEM IN STAT2300.IN2 AS HIGH-PROBABILITY CONFIGURATIONS. ===================================================================== -- L 2299 -- ( DETERMINING EITHER THE LOW OR ODD CONFIGURATION OF EACH ELEMENT OF EACH EVENT OF A SEQUENCE OF IMAX STAR EVENTS ) IV STAT2299 READS A SEQUENCE OF IMAX K0-ELEMENT STAR EVENTS FROM BASE.INP. EITHER THE LOW OR THE ODD CONFIGURATION OF EACH ELEMENT OF EACH STAR EVENT IS DETERMINED FOR FUTURE PROCESSING IN OTHER ROUTINES, E.G., STAT2300. CF. ALSO STAT2298 AND STAT2301. STAT2299 FILTERS THOSE CONFIGURATION TYPES FROM STAR EVENTS WHICH FOLLOW THE IDENTIFIED FINAL CONFIGURATION TYPE OVER ALL IMAX STAR EVENTS AND RECORDS THEM IN STAT2301.IN2 AS HIGH-PROBABILITY CONFIGURATIONS. CF. ALSO STAT2302. =====================================================================