= = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = COMP-U-STAT = = = = = = = = STATISTICAL PATTERN GENERATOR AND MATHEMATICAL TREND ANALYZER = = = = = = = = (c) Copyright 2017 by James Ervin Glover, Ph.D. = = = = All Rights Reserved = = = = = = = = = = = = Part II(b) ( STAT 250 ----> STAT 299 ) = = = = = = = = = = = = 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 250 ---> 299 * * * ====================================================================== -- L 250 -- (GENPERM) THIS ROUTINE IS DESIGNED TO GENERATE PERMUTATIONS OF THE ELEMENTS OF A SET OF CARDINALITY, Q. IF THE GIVEN INITIAL PERMUTATION, P, IS THE IDENTITY, THEN TRANSPOSITIONS ARE GENERATED BY P. OTHERWISE, RANDOM PERMUTATIONS ARE GENERATED BY P. P IS THE SEED PERMUTATION (E.G., THE IDENTITY PERMUTATION). EACH RUN MAY BE RESUMED WITH P AS THE LAST GENERATED PERMUTATION. T IS THE REQUESTED NUMBER OF PERMUTATIONS TO BE GENERATED FOR A GIVEN RUN. THE SEED PERMUTATION, P, IS READ FROM THE FILE GENPERM.INP AND MAY BE MODIFIED BY THE ANALYST. IMPORTANT NOTE: P CONSISTS OF ELEMENTS IN THE SEQUENCE: < 1, 2, 3, 4, ..., Q >. ====================================================================== -- L 251 -- READS A SEQUENCE OF IMAX K0-ELEMENT EVENTS AND DETERMINES A NEW SEQUENCE OF EVENTS, WHERE THE j-th ELEMENT IN THE k-th NEW EVENT IS THE AVERAGE OF THE LAST k ELEMENTS IN COLUMN j FOR EACH j, AND WHERE j = 1, ... , K0 AND k = 1, ... , IMAX. THE k-th EVENT IS THE AVERAGE OF THE PRECEDING k EVENTS. ====================================================================== -- L 252 -- READS A SEQUENCE OF IMAX K0-ELEMENT EVENTS AND A SEQUENCE OF DESIRED STEP-SIZES, TO GENERATE A NEW SEQUENCE OF K0-ELEMENT EVENTS, WHERE THE j-th ELEMENT OF EACH GENERATED EVENT EQUALS THE SUM OF THE j-th ELEMENTS OF THE i-th AND (i+k)-th EVENTS, DIVIDED BY THE CHOSEN STEP-SIZE, FOR i = 1, ... , IMAX-1 , j = 1, ... , IMAX-i AND k = 1, ... , K0 , WHERE IMAX MAY RANGE FROM 2 TO 30. THE INITIAL SEQUENCE OF IMAX EVENTS IS INCLUDED IN THE NEW SEQUENCE, WHICH MAY BE MODIFIED BY A DESIRED REAL-VALUED SCALING FACTOR. THE (i,j,k)-th ELEMENT OF A GENERATED EVENT IS : A(i,j,k) = ( B(i,k) + B(i+j,k) ) / ISTEP, WHERE ISTEP IS THE STEP-SIZE. ====================================================================== -- L 253 -- READS AND SORTS A SEQUENCE OF IMAX EVENTS AND DETERMINES THE SUBSEQUENCE OF ELEMENTS, <1, ... , N>, WHICH OCCUR IN AT LEAST ONE OF THE IMAX EVENTS. ==================================================================== -- L 254 -- READS AN ARBITRARY IMAX x K0 ARRAY OF INTEGER ELEMENTS AND TWO SEQUENCES OF ARBITRARY PERMUTATION SETS OF SIZE K0, PRINTING A SEQUENCE OF RESULTING K0-ELEMENT EVENTS FROM THE INITIAL ARRAY OF ELEMENTS, WHERE K0 MAY RANGE BETWEEN 2 AND 6, INCLUSIVELY. STAT254 ALSO READS A SEQUENCE OF LMAX STAR EVENTS AND INTERSECTS THE SUCCESSOR OF A DESIRED FINAL STAR EVENT WITH EACH OF THE KMAX NEWLY GENERATED K0-ELEMENT TEST EVENTS, DETERMINED BY THE INPUT FILES STAT254.INP, STAT254.IN2, AND STAT254.IN3. SEE STAT224 FOR THE CASE OF READING AN INITIAL SEQUENCE OF K0 x K0 ARRAYS. IMAX, KMAX AND LMAX MAY RANGE BETWEEN 1 AND 600, BUT KMAX AND LMAX MUST BE IDENTICAL. THIS PROCESS IS CYCLICALLY REPEATED FOR A DESIRED RANGE OF STAR EVENTS. ==================================================================== -- L 255 -- READS AN ARBITRARY IMAX x K0 ARRAY OF INTEGER ELEMENTS, ADDS AND SUBTRACTS A DESIRED TRANSLATION FACTOR, J0, TO OR FROM EACH ELEMENT OF EACH K0-ELEMENT EVENT, DEPENDING UPON WHETHER OR NOT EACH ELEMENT IS CONGRUENT TO i (MOD j), WHERE i AND j ARE CHOSEN INTEGERS AND i IS AN ELEMENT OF A DESIRED VECTOR, , OF NOT NECESSARILY DISTINCT ELEMENTS. THE COMPLETE SEQUENCE OF EVENTS ON THE ELEMENTS, [ 1, ... , L0 ], IS PRINTED AND THE ANALYST IS ITERATIVELY PROMPTED FOR VECTORS OF COLUMN NUMBERS TO BE AFFECTED BY ALL OPERATIONS IN THE ANALYSES. ====================================================================== -- L 256 -- READS A SEQUENCE OF PERMUTATIONS AND FILTERS A SUBSEQUENCE FROM EACH PERMUTATION, WITH THE POSITION OF EACH CHOSEN ELEMENT DETERMINED BY INTEGERS CONGRUENT (MOD t) , FOR SOME INTEGER t , TO AN INTEGER CHOSEN BY THE ANALYST. ====================================================================== -- L 257 -- MAPS THE ARBITRARY ELEMENTS OF AN INITIAL SEQUENCE OF PERMUTATIONS INTO A NEW SEQUENCE DEFINED ON THE ELEMENTS < 1, 2, 3, ... , k > FOR SOME DESIRED INTEGER k. THE POSITIONS OF ELEMENTS IN THE INITIAL SEQUENCE, WHERE THE i-th ELEMENT IS P(i), DETERMINE THE ELEMENTS IN THE NEW SEQUENCE OF UP TO 100 PERMUTATIONS. ====================================================================== -- L 258 -- MONITOR MATRIX GENERATOR III FREQUENCY COUNTS FOR ELEMENTS IN A STAR SET COMPARES A SET OF K0-ELEMENT STAR EVENTS WITH A FINITE TEST SET OF K0-ELEMENT EVENTS, DETERMINES THE NUMBER OF COMMON ELEMENTS BETWEEN RESPECTIVE TEST AND STAR EVENTS, DETERMINES THE RELATIVE FREQUENCIES AND SUMS OF RELATIVE FREQUENCIES OF COMMON ELEMENTS FOR COMPARISON, AND GENERATES A MONITOR MATRIX, REFLECTING THE PATTERNS OF INTERSECTIONS BETWEEN TEST AND STAR EVENTS. RANKS THE SEQUENCE OF TEST EVENTS IN DESCENDING ORDER OF INTERSECTION MAGNITUDES AND FILTERS THOSE TEST EVENTS FROM THE INITIAL SEQUENCE WHICH ARE IN RANGES SPECIFIED BY THE ANALYST. ====================================================================== -- L 259 -- MONITOR MATRIX GENERATOR V FREQUENCY COUNTS FOR ELEMENTS IN A TEST SET COMPARES A SET OF K0-ELEMENT TEST EVENTS WITH A FINITE STAR SET OF K0-ELEMENT EVENTS, DETERMINES THE NUMBER OF COMMON ELEMENTS BETWEEN RESPECTIVE STAR AND TEST EVENTS, DETERMINES THE RELATIVE FREQUENCIES AND SUMS OF RELATIVE FREQUENCIES OF COMMON ELEMENTS FOR COMPARISON, AND GENERATES A MONITOR MATRIX, REFLECTING THE PATTERNS OF INTERSECTIONS BETWEEN STAR AND TEST EVENTS. RANKS THE SEQUENCE OF TEST EVENTS IN DESCENDING ORDER OF INTERSECTION MAGNITUDES AND FILTERS THOSE TEST EVENTS FROM THE INITIAL SEQUENCE WHICH ARE IN RANGES SPECIFIED BY THE ANALYST. THIS IS THE DUAL OF L258, WHERE THE ROLES OF TEST AND STAR EVENTS HAVE BEEN INTERCHANGED TO ALLOW DETERMINATION OF THE NUMBER OF ELEMENTS IN COMMON BETWEEN A GIVEN STAR EVENT AND THE HIGHEST j RANKING TEST EVENTS, ISOLATING THOSE STAR EVENTS FOR WHICH THE SUMS OF THE NUMBERS ELEMENTS IN COMMON WITH TEST EVENTS EXCEED SOME DESIRED CONSTANT VALUE. ====================================================================== -- L 260 -- READS A SEQUENCE OF IMAX K0-ELEMENT EVENTS AND A SEQUENCE OF DESIRED STEP-SIZES, TO GENERATE A NEW SEQUENCE OF K0-ELEMENT EVENTS, WHERE THE (i,j,k)-th ELEMENT OF A GENERATED EVENT IS DEFINED BY: A(i,j,k) = ( B(i,j) + B(i+1,k) ) / ISTEP , WHERE ISTEP IS THE CHOSEN STEP-SIZE, FOR i = 1, ... , IMAX-1 , j = 1, ... , K0 AND k = 1, ... , K0 . THE INITIAL SEQUENCE IS INCLUDED IN THE NEW SEQUENCE, WHICH MAY BE MODIFIED BY A DESIRED REAL-VALUED SCALING FACTOR FOR UP TO 30 INITIAL EVENTS. ====================================================================== -- L 261 -- READS AN INITIAL SEQUENCE OF IMAX K0-ELEMENT EVENTS, A PERMUTATION, P, ON INUM ELEMENTS, AND A SEQUENCE OF DESIRED STEP-SIZES TO GENERATE A NEW SEQUENCE OF K0-ELEMENT EVENTS, WHERE THE (k,i,j)-th ELEMENT OF A GENERATED EVENT IS DEFINED BY A(k,i,j) = ( B(i,j) + P(k) ) / ISTEP , AND ISTEP IS THE CHOSEN STEP-SIZE, FOR k = 1, ... , INUM , i = 1, ... , IMAX , AND j = 1, ... , K0 . THE INITIAL SEQUENCE OF IMAX EVENTS IS INCLUDED IN THE NEW SEQUENCE, WHICH MAY BE MODIFIED BY A DESIRED REAL-VALUED SCALING FACTOR FOR UP TO 30 INITIAL EVENTS AND THE PERMUTATION, P, CAN CONTAIN UP TO 30 ELEMENTS. ====================================================================== -- L 262 -- READS A SEQUENCE OF STAR EVENTS ON THE ELEMENTS ( 1 --> k ), DETERMINES THE MOST RECENT EVENT IN WHICH EACH ELEMENT HAS OCCURRED, THE NUMBER OF ELAPSED EVENTS SINCE EACH ELEMENT HAS OCCURRED ( # EVENTS SINCE LAST OCC.), AND A THRESHOLD FOR THE NUMBER OF ELAPSED EVENTS PER OCCURRENCE OF EACH ELEMENT, RANKS THE ELEMENTS IN DESCENDING ORDER OF % OF OCCURRENCE, PRINTS A MATRIX REFLECTING THESE STATISTICS, AND FILTERS THOSE ELEMENTS FOR WHICH THE THRESHOLD vs. AVERAGE THRESHOLD AND THE # OF ELAPSED EVENTS SINCE THE LAST OCCURRENCE OF EACH ELEMENT vs. THE AVERAGE # OF ELAPSED EVENTS SINCE THE LAST OCCURRENCE OVER ALL ELEMENTS SATISFY BOUNDARY CONDITIONS, BACKING UP A DESIRED NUMBER OF EVENTS FROM AN ARBITRARY EVENT. ONLY ONE OF THE K0 COLUMNS IS ANALYZED AFTER SELECTION BY THE ANALYST. SEE L 172 FOR THE FULL VERSION OF KO COLUMNS. ====================================================================== -- L 263 -- READS A SEQUENCE OF STAR EVENTS ON THE ELEMENTS ( 1 --> k ), BACKING UP JMAX EVENTS FROM A SEQUENCE OF JMAX CHOSEN FINAL EVENTS OVER THE TOTAL SEQUENCE OF IMAX EVENTS. ALL ELEMENTS IN EACH OF THE K0 COLUMNS PER EVENT ARE ANALYZED. MOREOVER, THE PERCENTAGE OF OCCURRENCE OF EACH ELEMENT OVER THE JMAX EVENTS IS DETERMINED. SEE ( L 172 ) FOR THE VERSION WHICH PRINTS THE FULL COMPLEMENT OF STATISTICS FOR A SPECIFICALLY CHOSEN VALUE OF JMAX AND A SPECIFIC DISTANCE TO BACK-UP FROM EVENT JMAX. ====================================================================== -- L 264 -- READS A SEQUENCE OF IMAX STAR EVENTS ON THE ELEMENTS ( 1 --> k ), BACKING UP IBACK EVENTS FROM A SEQUENCE OF IMAX-IBACK FINAL EVENTS OVER THE TOTAL SEQUENCE OF IMAX EVENTS. ALL ELEMENTS IN EACH OF THE K0 COLUMNS PER EVENT ARE ANALYZED. MOREOVER, THE PERCENTAGE OF OCCURRENCE OF EACH ELEMENT OVER THE IMAX-IBACK EVENTS IS DETERMINED. THE SEQUENCE OF IMAX STAR EVENTS AND A SEQUENCE OF NMAX TEST EVENTS IS FILTERED BASED UPON A DESIRED VECTOR OF OCCURRENCE PERCENTAGES. SEE ( L 172 ) FOR THE VERSION WHICH PRINTS THE FULL COMPLEMENT OF STATISTICS FOR A SPECIFICALLY CHOSEN VALUE AND A SPECIFIC VARIABLE DISTANCE TO BACK-UP FROM A GIVEN EVENT. ====================================================================== -- L 265 -- READS A SEQUENCE OF IMAX STAR EVENTS ON K0 ELEMENTS, DETERMINES THE QUOTIENT AND REMAINDER (UPON DIVISION BY 10) OF EACH ELEMENT IN EACH EVENT (i.e., THE UNITs AND TENs DIGITS OF EACH ELEMENT) AND DETERMINES, FOR SUCCESSIVE EVENTS THROUGHOUT THE SEQUENCE OF UP TO 500 STAR EVENTS, THE DIFFERENCES BETWEEN CORRESPONDING UNITs AND TENs DIGITS. ====================================================================== -- L 266 -- READS A SEQUENCE OF IMAX STAR EVENTS ON K0 ELEMENTS, DETERMINES THE QUOTIENT AND REMAINDER (UPON DIVISION BY 10) OF EACH ELEMENT IN ONE DESIRED FINAL EVENT (i.e., THE UNITs AND TENs DIGITS OF EACH ELEMENT) AND DETERMINES A NEW SEQUENCE OF UP TO 200 TEST EVENTS, WHERE EACH ELEMENT IS SOME LINEAR COMBINATION OF THE UNITs AND TENs DIGITS OF THE CHOSEN FINAL STAR EVENT. ====================================================================== -- L 267 -- READS A SEQUENCE OF KMAX STAR EVENTS ON K0 ELEMENTS, WHERE KMAX RANGES BETWEEN 2 AND 500, DETERMINES THE DIFFERENCES BETWEEN CORRESPONDING ELEMENTS IN EACH OF THE K0 COLUMNS OF SUCCESSIVE EVENTS, WITH (D(i,j) = A(i+1,j) - A(i,j)), BACKING UP A DESIRED NUMBER OF EVENTS, J0, FROM A DESIRED FINAL EVENT NUMBER, JMAX, AND DETERMINES A NEW SEQUENCE OF KMAX EVENTS, WHERE EACH ELEMENT OF EACH NEW EVENT IS DETERMINED FROM ADDING D(i,j) TO EACH ELEMENT OF THE CHOSEN FINAL EVENT OF THE INITIAL SEQUENCE OF STAR EVENTS, FOR EACH j = 1 , ... , K0. ====================================================================== -- L 268 -- READS A SEQUENCE OF IMAX STAR EVENTS AND A SEQUENCE OF KMAX TEST EVENTS ON K0 ELEMENTS, WHERE KMAX RANGES BETWEEN 1 AND 30 AND IMAX HAS AN UPPER BOUND OF 300, DETERMINES THE QUOTIENT AND REMAINDER (UPON DIVISION BY 10) OF EACH ELEMENT IN EACH TEST EVENT (i.e., THE UNITs AND TENs DIGITS OF EACH ELEMENT), BACKING UP A DESIRED NUMBER OF EVENTS, J0, FROM A DESIRED FINAL EVENT NUMBER, TMAX, AND DETERMINES A NEW SEQUENCE OF J0*J0 NEW TEST EVENTS, WHERE EACH ELEMENT OF EACH NEW EVENT IS DETERMINED FROM A UNITs DIGIT AND A TENs DIGIT FROM EACH OF THE SUCCESSIVE EVENTS IN THE INITIAL SEQUENCE FOR EACH OF THE K0 COLUMNS. THE NUMBER OF COMMON ELEMENTS BETWEEN THE SUCCESSOR OF A CHOSEN FINAL STAR EVENT, IF ANY, AND EACH EVENT OF THE GENERATED SEQUENCE OF TEST EVENTS IS ALSO DETERMINED. ====================================================================== -- L 269 -- READS A SEQUENCE OF STAR EVENTS ON K0 ELEMENTS, DETERMINES THE QUOTIENT AND REMAINDER (UPON DIVISION BY 10) OF EACH ELEMENT IN EACH EVENT (i.e., THE UNITs AND TENs DIGITS OF EACH ELEMENT) AND DETERMINES, FOR SUCCESSIVE EVENTS THROUGHOUT THE SEQUENCE OF OF UP TO 500 STAR EVENTS, THE DIFFERENCES BETWEEN CORRESPONDING UNITs AND TENs DIGITS. ====================================================================== -- L 270 -- READS A SEQUENCE OF IMAX STAR EVENTS ON K0 ELEMENTS AND A BLOCK OF KMAX K0-ELEMENT INCREMENTS (WITH ELEMENTS NOT NECESSARILY DISTINCT), AND DETERMINES A NEW SEQUENCE OF KMAX TEST EVENTS, WHERE EACH ELEMENT IS THE SUM OF THE j-th ELEMENT OF A CHOSEN FINAL STAR EVENT AND THE CORRESPONDING j-th ELEMENT OF A BLOCK EVENT, FOR EACH EVENT IN THE K0-ELEMENT BLOCK. THE NUMBER OF ELEMENTS IN COMMON BETWEEN A CHOSEN FINAL EVENT AND EACH EVENT OF THE GENERATED SEQUENCE OF TEST EVENTS IS ALSO DETERMINED. THOSE TEST EVENTS ARE IDENTIFIED WHICH HAVE A # OF ELEMENTS IN COMMON WITH THE FINAL EVENT EXCEEDING SOME DESIRED MINIMUM THRESHOLD. EACH GENERATED TEST ELEMENT IS GIVEN BY: D(i,j,m) = A(m,j) + C(i,j), FOR EACH i = 1 , ... , 10 ; j = 1 , ... , 6 ; AND, m = 1 , ... , 100. ====================================================================== -- L 271 -- READS A SEQUENCE OF IMAX STAR EVENTS ON K0 ELEMENTS AND A SEQUENCE OF KMAX K0-ELEMENT TEST EVENTS, DETERMINING THE NUMBER OF ELEMENTS IN COMMON BETWEEN A CHOSEN FINAL STAR EVENT AND EACH EVENT OF THE SEQUENCE OF TEST EVENTS. A FILE IS GENERATED, IDENTIFYING THOSE TEST EVENTS WHICH HAVE A NUMBER OF ELEMENTS IN COMMON WITH THE CHOSEN FINAL EVENT EXCEEDING SOME DESIRED MINIMUM THRESHOLD. ====================================================================== -- L 272 -- READS A SEQUENCE OF IMAX STAR EVENTS ON K0 ELEMENTS AND DETERMINES FOR A DESIRED FINAL CHOSEN EVENT, JMAX, OVER THE IMAX STAR EVENTS, A NEW SEQUENCE OF JMAX+2 TEST EVENTS, FOR i = 1 , ... , IMAX AND j = 1, ... , K0 , WHERE B(i,j) IS THE j-th ELEMENT OF THE i-th ROW OF THE GENERATED TEST SEQUENCE, REPRESENTING THE PREDICTED ELEMENT OF COLUMN j WHICH WILL PRESERVE THE MEAN OF COLUMN j, OVER IMAX EVENTS, FOR UP TO 300 STAR EVENTS. THE NUMBER OF ELEMENTS IN COMMON BETWEEN A FINAL CHOSEN EVENT FROM THE STAR SEQUENCE AND EACH EVENT OF THE GENERATED SEQUENCE OF TEST EVENTS IS ALSO DETERMINED. THOSE TEST EVENTS ARE IDENTIFIED WHICH HAVE A # OF ELEMENTS IN COMMON WITH THE FINAL EVENT EXCEEDING SOME DESIRED MINIMUM THRESHOLD. NOTE: CORRESPONDING ELEMENT DIFFERENCES D(i,j) = B(i,j) - A(i,j) , WHERE B(i,j) <===> PREDICTED ELEMENTS AND A(i,j) <===> ACTUAL STAR ELEMENTS , FOR i = 1 , ... , JMAX+2 AND j = 1 , ... , K0 ARE ALSO GENERATED. (IN THIS VERSION, ALL GENERATED ELEMENTS ARE ROUNDED DOWN. SEE STAT 273 FOR GENERATED ELEMENTS ROUNDED UP.) ====================================================================== -- L 273 -- READS A SEQUENCE OF IMAX STAR EVENTS ON K0 ELEMENTS AND DETERMINES, FOR A DESIRED FINAL CHOSEN EVENT, JMAX, OVER THE IMAX STAR EVENTS, A NEW SEQUENCE OF IMAX TEST EVENTS, FOR i = 1 , ... , IMAX AND j = 1, ... , K0 , WHERE B(i,j) IS THE j-th ELEMENT OF THE i-th ROW OF THE GENERATED TEST SEQUENCE, REPRESENTING THE PREDICTED ELEMENT OF COLUMN j WHICH WILL PRESERVE THE MEAN OF COLUMN j, OVER IMAX EVENTS, FOR UP TO 300 STAR EVENTS. THE NUMBER OF ELEMENTS IN COMMON BETWEEN A FINAL CHOSEN EVENT FROM THE STAR SEQUENCE AND EACH EVENT OF THE GENERATED SEQUENCE OF TEST EVENTS IS ALSO DETERMINED. THOSE TEST EVENTS ARE IDENTIFIED WHICH HAVE A # OF ELEMENTS IN COMMON WITH THE FINAL EVENT EXCEEDING SOME DESIRED MINIMUM THRESHOLD. NOTE: CORRESPONDING ELEMENT DIFFERENCES D(i,j) = B(i,j) - A(i,j) , WHERE B(i,j) <===> PREDICTED ELEMENTS AND A(i,j) <===> ACTUAL STAR ELEMENTS , FOR i = 1 , ... , IMAX+2 AND j = 1 , ... , K0 ARE ALSO GENERATED. (IN THIS VERSION, ALL GENERATED ELEMENTS ARE ROUNDED UP. SEE STAT 272 FOR GENERATED ELEMENTS ROUNDED DOWN.) ====================================================================== -- L 274 -- READS A SEQUENCE OF IMAX STAR EVENTS ON K0 ELEMENTS AND APPLIES A DESIRED TRANSLATION TO EACH ELEMENT OF EACH STAR EVENT, TO WITHIN A DESIRED MAXIMUM DISTANCE, EPSILON, OF EACH OF THE CORRESPONDING ELEMENTS OF A FINAL STAR EVENT, JMAX. THOSE STAR EVENTS ARE FILTERED WHICH IMMEDIATELY SUCCEED THOSE STAR EVENTS HAVING A MINIMUM DESIRED NUMBER OF ELEMENTS WITHIN EPSILON UNITS OF THE CORRESPONDING ELEMENTS OF THE FINAL CHOSEN STAR EVENT. THE NUMBER OF ELEMENTS IN COMMON BETWEEN THE EVENT SUCCEEDING THE FINAL CHOSEN STAR EVENT AND EACH OF THE FILTERED STAR EVENTS IS ALSO DETERMINED. ====================================================================== -- L 275 -- READS A SEQUENCE OF IMAX STAR EVENTS ON K0 ELEMENTS AND DETERMINES FOR A DESIRED FINAL CHOSEN EVENT, JMAX, OVER THE IMAX STAR EVENTS, A NEW SEQUENCE OF JMAX+2 TEST EVENTS, FOR i = 1 , ... , IMAX AND j = 1, ... , K0 , WHERE B(i,j) IS THE j-th ELEMENT OF THE i-th ROW OF THE GENERATED TEST SEQUENCE, REPRESENTING THE PREDICTED ELEMENT OF COLUMN j WHICH WILL PRESERVE THE MEAN OF THE LAST (i-1) ELEMENTS OF COLUMN j FOR EACH i = 2 , 3 , ... , JMAX OVER THE JMAX STAR EVENTS, FOR UP TO 300 STAR EVENTS. THE NUMBER OF ELEMENTS IN COMMON BETWEEN A FINAL CHOSEN EVENT FROM THE STAR SEQUENCE AND EACH EVENT OF THE GENERATED SEQUENCE OF TEST EVENTS IS ALSO DETERMINED. THOSE TEST EVENTS ARE IDENTIFIED WHICH HAVE A # OF ELEMENTS IN COMMON WITH THE FINAL EVENT EXCEEDING SOME DESIRED MINIMUM THRESHOLD. NOTE: CORRESPONDING ELEMENT DIFFERENCES D(i,j) = B(i,j) - A(i,j) , WHERE B(i,j) <===> PREDICTED ELEMENTS AND A(i,j) <===> ACTUAL STAR ELEMENTS , FOR i = 1 , ... , JMAX+2 AND j = 1 , ... , K0 ARE ALSO GENERATED. (IN THIS VERSION, ALL GENERATED ELEMENTS ARE ROUNDED DOWN. SEE STAT 276 FOR GENERATED ELEMENTS ROUNDED UP.) SEE STAT 272 FOR PRESERVING A FIXED MEAN OVER THE IMAX STAR EVENTS. ====================================================================== -- L 276 -- READS A SEQUENCE OF IMAX STAR EVENTS ON K0 ELEMENTS AND DETERMINES FOR A DESIRED FINAL CHOSEN EVENT, JMAX, OVER THE IMAX STAR EVENTS, A NEW SEQUENCE OF JMAX+2 TEST EVENTS, FOR i = 1 , ... , IMAX AND j = 1, ... , K0 , WHERE B(i,j) IS THE j-th ELEMENT OF THE i-th ROW OF THE GENERATED TEST SEQUENCE, REPRESENTING THE PREDICTED ELEMENT OF COLUMN j WHICH WILL PRESERVE THE MEAN OF THE LAST (i-1) ELEMENTS OF COLUMN j FOR EACH i = 2 , 3 , ... , JMAX OVER THE JMAX STAR EVENTS, FOR UP TO 300 STAR EVENTS. THE NUMBER OF ELEMENTS IN COMMON BETWEEN A FINAL CHOSEN EVENT FROM THE STAR SEQUENCE AND EACH EVENT OF THE GENERATED SEQUENCE OF TEST EVENTS IS ALSO DETERMINED. THOSE TEST EVENTS ARE IDENTIFIED WHICH HAVE A # OF ELEMENTS IN COMMON WITH THE FINAL EVENT EXCEEDING SOME DESIRED MINIMUM THRESHOLD. NOTE: CORRESPONDING ELEMENT DIFFERENCES D(i,j) = B(i,j) - A(i,j) , WHERE B(i,j) <===> PREDICTED ELEMENTS AND A(i,j) <===> ACTUAL STAR ELEMENTS , FOR i = 1 , ... , JMAX+2 AND j = 1 , ... , K0 ARE ALSO GENERATED. (IN THIS VERSION, ALL GENERATED ELEMENTS ARE ROUNDED UP. SEE STAT 275 FOR GENERATED ELEMENTS ROUNDED DOWN.) SEE STAT 273 FOR PRESERVING A FIXED MEAN OVER THE IMAX STAR EVENTS. ====================================================================== -- L 277 -- READS AND ANALYZES THE LAST JMAX-LMAX STAR EVENTS IN A SEQUENCE OF K0-ELEMENT BLOCKS AND DETERMINES THE FREQUENCY OF EACH OF L0 ELEMENTS, THE SUM OF FREQUENCIES, THE AVERAGE FREQUENCY OVER THE LAST JMAX EVENTS, SORTS THE FREQUENCIES, DETERMINES THE TOP t MOST FREQUENT ELEMENTS AND THE BOTTOM t LEAST FREQUENT ELEMENTS, AND PRINTS A MATRIX REFLECTING A SPECIAL METRIC OF SUMS OF FREQUENCIES OF THE K0 ELEMENTS IN EACH EVENT OF A SEQUENCE OF TEST EVENTS. A DESIRED RANGE OF TEST EVENTS IS FILTERED, BASED UPON LEXICOGRAPHIC SUMS OF FREQUENCIES OF ELEMENTS PER EVENT OVER ALL TEST EVENTS. FOR UP TO 300 STAR EVENTS, THE NUMBER OF ELEMENTS IN COMMON BETWEEN A FINAL CHOSEN EVENT FROM THE STAR SEQUENCE AND EACH EVENT OF THE SEQUENCE OF TEST EVENTS IS ALSO DETERMINED. THOSE TEST EVENTS ARE IDENTIFIED WHICH HAVE A NUMBER OF ELEMENTS IN COMMON WITH AN EVENT FOLLOWING THE CHOSEN FINAL EVENT AND WHICH EXCEED SOME DESIRED MINIMUM THRESHOLD. ====================================================================== -- L 278 -- READS AND ANALYZES THE LAST JMAX-LMAX STAR EVENTS IN A SEQUENCE OF K0-ELEMENT BLOCKS AND DETERMINES THE FREQUENCY OF EACH OF L0 ELEMENTS, THE SUM OF FREQUENCIES AND THE AVERAGE FREQUENCY OVER THE LAST JMAX EVENTS, SORTS THE FREQUENCIES, DETERMINES THE TOP t MOST FREQUENT ELEMENTS AND THE BOTTOM t LEAST FREQUENT ELEMENTS, AND PRINTS A MATRIX REFLECTING A SPECIAL METRIC OF SUMS OF FREQUENCIES OF THE K0 ELEMENTS IN EACH EVENT OF A SEQUENCE OF OF TEST EVENTS. A DESIRED RANGE OF TEST EVENTS IS FILTERED, BASED UPON LEXICOGRAPHIC SUMS OF FREQUENCIES OF ELEMENTS PER EVENT OVER ALL TEST EVENTS, FOR UP TO 300 STAR EVENTS. THE NUMBER OF ELEMENTS IN COMMON BETWEEN A FINAL CHOSEN EVENT FROM THE STAR SEQUENCE AND EACH EVENT OF THE SEQUENCE OF TEST EVENTS IS ALSO DETERMINED. THOSE TEST EVENTS ARE IDENTIFIED WHICH HAVE A NUMBER OF ELEMENTS IN COMMON WITH AN EVENT FOLLOWING THE CHOSEN FINAL EVENT AND WHICH EXCEED SOME DESIRED MINIMUM THRESHOLD. ====================================================================== -- L 279 -- READS AND ANALYZES THE LAST JMAX-LMAX STAR EVENTS IN A SEQUENCE OF K0-ELEMENT BLOCKS AND DETERMINES THE FREQUENCY OF EACH OF L0 ELEMENTS, THE SUM OF FREQUENCIES, THE AVERAGE FREQUENCY OVER THE LAST JMAX EVENTS, SORTS THE FREQUENCIES, DETERMINES THE TOP t MOST FREQUENT ELEMENTS AND THE BOTTOM t LEAST FREQUENT ELEMENTS, AND PRINTS A MATRIX REFLECTING A SPECIAL METRIC OF SUMS OF FREQUENCIES OF THE K0 ELEMENTS IN EACH EVENT OF A SEQUENCE OF TEST EVENTS. A DESIRED RANGE OF TEST EVENTS IS FILTERED, BASED UPON WHETHER OR NOT THE SUM OF FREQUENCIES OF ELEMENTS PER EVENT LIE WITHIN DESIRED LOWER AND UPPER BOUNDS CHOSEN BY THE ANALYST, FOR UP TO 300 STAR EVENTS. THE NUMBER OF ELEMENTS IN COMMON BETWEEN A FINAL CHOSEN EVENT FROM THE STAR SEQUENCE AND EACH EACH EVENT OF THE SEQUENCE OF TEST EVENTS IS ALSO DETERMINED. THOSE TEST EVENTS ARE IDENTIFIED WHICH HAVE A NUMBER OF ELEMENTS IN COMMON WITH AN EVENT FOLLOWING THE CHOSEN FINAL EVENT AND WHICH EXCEED SOME DESIRED MINIMUM THRESHOLD. ====================================================================== -- L 280 -- READS A SEQUENCE OF IMAX STAR EVENTS AND A SEQUENCE OF LMAX TEST EVENTS, AND DETERMINES THE DIFFERENCES BETWEEN EACH ELEMENT OF EACH EVENT OF THE SEQUENCE OF TEST EVENTS AND THE CORRESPONDING ELEMENT OF A CHOSEN FINAL STAR EVENT AS A MECHANISM FOR FILTERING TEST EVENTS. THOSE TEST EVENTS ARE FILTERED WHICH HAVE A MINIMUM DESIRED NUMBER OF ELEMENTS WITHIN EPSILON UNITS OF THE CORRESPONDING ELEMENTS OF THE FINAL CHOSEN STAR EVENT. THE NUMBER OF ELEMENTS IN COMMON BETWEEN THE EVENT SUCCEEDING THE FINAL STAR EVENT, IF ANY, AND EACH OF THE FILTERED TEST EVENTS IS ALSO DETERMINED. ====================================================================== -- L 281 -- READS A SEQUENCE OF TEST EVENTS AND ADDS OR SUBTRACTS A DESIRED INTEGER CONSTANT FROM EACH ELEMENT OF EACH DESIRED COLUMN WHICH IS SELECTED BY THE ANALYST, GENERATING A NEW SEQUENCE FOR FURTHER ANALYSIS. A SPECIFIC AMOUNT IS ADDED TO, OR SUBTRACTED FROM, SELECTED COLUMNS, BASED UPON A DESIRED VECTOR OF K0 (NOT NECESSARILY DISTINCT) ARBITRARY INTEGERS. THIS PROCESS IS CYCLICALLY REPEATED ANY DESIRED NUMBER OF TIMES, THUS CREATING A SEQUENCE OF NEW TEST EVENTS IN UNION WITH THE INITIAL SEQUENCE. EACH EXECUTION PROCESS UP TO 900 EVENTS, WITH THE ANALYST BEING PROMPTED AT THE TERMINAL FOR VECTOR VALUES AT EACH CYCLE. SEE STAT 282 FOR READING DESIRED VECTOR VALUES FROM AN INPUT FILE. ====================================================================== -- L 282 -- READS A SEQUENCE OF TEST EVENTS AND ADDS OR SUBTRACTS A DESIRED INTEGER CONSTANT FROM EACH ELEMENT OF EACH DESIRED COLUMN WHICH IS SELECTED BY THE ANALYST, GENERATING A NEW SEQUENCE FOR FURTHER ANALYSIS. A SPECIFIC AMOUNT IS ADDED TO, OR SUBTRACTED FROM, SELECTED COLUMNS, BASED UPON A DESIRED VECTOR OF K0 (NOT NECESSARILY DISTINCT) ARBITRARY INTEGERS. THIS PROCESS IS CYCLICALLY REPEATED ANY DESIRED NUMBER OF TIMES, THUS CREATING A SEQUENCE OF NEW TEST EVENTS IN UNION WITH THE INITIAL SEQUENCE. EACH EXECUTION PROCESS UP TO 30 EVENTS, WITH J0 DESIRED VECTOR VALUES BEING READ FROM AN INPUT FILE TO DETERMINE J0 CYCLES. SEE STAT 281 FOR PROMPTS OF DESIRED VECTOR VALUES FROM THE ANALYST AT THE TERMINAL. ====================================================================== -- L 283 -- READS A SEQUENCE OF LMAX TEST EVENTS AND A SEQUENCE OF IMAX STAR EVENTS ON K0 ELEMENTS, AND APPLIES A DESIRED TRANSLATION OF EACH ELEMENT OF EACH TEST EVENT, TO WITHIN A DESIRED MAXIMUM DISTANCE, EPSILON, OF EACH OF THE CORRESPONDING ELEMENTS OF A SUCCESSIVE TEST EVENT. THOSE PAIRS OF TEST EVENTS ARE FILTERED WHICH HAVE A MINIMUM DESIRED NUMBER OF CORRESPONDING ELEMENTS WITHIN EPSILON UNITS OF EACH OTHER. THE(NUMBER OF ELEMENTS IN COMMON BETWEEN EACH FILTERED TEST EVENTQ AND THE EVENT SUCCEEDING THE FINAL CHOSEN STAR EVENT, IF ANY, IS ALSO DETERMINED. ====================================================================== -- L 284 -- READS TWO SEQUENCES OF TEST EVENTS AND A SEQUENCE OF STAR EVENTS ON K0 ELEMENTS AND APPLIES A DESIRED TRANSLATION OF EACH ELEMENT OF EACH EVENT OF THE FIRST TEST SEQUENCE WITH THE CORRESPONDING ELEMENT OF EACH EVENT OF THE SECOND TEST SEQUENCE, TO WITHIN A DESIRED MAXIMUM DISTANCE, EPSILON, OF EACH OTHER. THOSE PAIRS OF TEST EVENTS ARE FILTERED WHICH HAVE A MINIMUM DESIRED NUMBER OF CORRESPONDING ELEMENTS WITHIN EPSILON UNITS OF EACH OTHER. THE NUMBER OF ELEMENTS IN COMMON BETWEEN EACH FILTERED EVENT AND A FINAL CHOSEN STAR EVENT, (AS WELL AS, ITS SUCCESSOR, IF ANY) IS ALSO DETERMINED. ====================================================================== -- L 285 -- READS A SEQUENCE OF LMAX TEST EVENTS AND A SEQUENCE OF IMAX STAR EVENTS ON K0 ELEMENTS, AND DETERMINES A HOMOGENEOUS SEQUENCE OF NEW TEST EVENTS FROM PAIRS OF THE LMAX INITIAL TEST EVENTS IN STEPS OF SIZE ISTEP, CHOSEN BY THE ANALYST. THE NUMBER OF ELEMENTS IN COMMON BETWEEN EACH GENERATED TEST EVENT AND THE EVENT SUCCEEDING A CHOSEN FINAL STAR EVENT, IF ANY, IS ALSO DETERMINED. ====================================================================== -- L 286 -- READS A SEQUENCE OF IMAX STAR EVENTS AND A SEQUENCE OF UP TO 5 TEST EVENTS ON K0 ELEMENTS, WHERE IMAX RANGES BETWEEN 1 AND 300, DETERMINES THE QUOTIENT AND REMAINDER (UPON DIVISION BY 10) OF EACH TEST EVENT (i.e., THE UNITs AND TENs DIGITS OF EACH ELEMENT), BACKING UP A DESIRED NUMBER OF EVENTS, J0, FROM A DESIRED TEST EVENT NUMBER, TMAX, AND DETERMINES A NEW SEQUENCE OF KMAX NEW TEST EVENTS, WITH EACH ELEMENT OF EACH NEW EVENT DETERMINED FROM A UNITs DIGIT AND A TENs DIGIT FROM EACH OF THE SUCCESSIVE EVENTS IN THE INITIAL SEQUENCE FOR EACH OF THE K0 COLUMNS. EVERY UNITs DIGIT IS PERMUTED WITH EVERY TENs DIGIT OF EACH OF THE INITIAL J0 TEST EVENTS TO GENERATE THE NEW SEQUENCE OF KMAX TEST EVENTS. EACH OF THE K0 COLUMNS OF THE GENERATED TEST EVENTS IS PRINTED AS A PERMUTATION SET AND INTERSECTED WITH THE K0 ELEMENTS OF AN EVENT SUCCEEDING THE FINAL CHOSEN STAR EVENT AND THE NUMBER OF COMMON ELEMENTS IS DETERMINED FOR EACH COLUMN. THE NUMBER OF COMMON ELEMENTS BETWEEN THE SUCCESSOR OF A CHOSEN FINAL STAR EVENT, IF ANY, AND EACH EVENT OF THE GENERATED SEQUENCE OF TEST EVENTS IS ALSO DETERMINED. ====================================================================== -- L 287 -- READS A SEQUENCE OF IMAX STAR EVENTS, A SEQUENCE, B, OF BNUM 2-TUPLES FROM A SUBSET OF THE ELEMENTS OF <1, 2, ... , L0 > , AND A SEQUENCE, C, OF CNUM 3-TUPLES, WHERE THE MAXIMUM ELEMENT IN SEQUENCE C DOES NOT EXCEED BNUM, THE NUMBER OF ROWS OF SEQUENCE B. MOREOVER, THE THREE ELEMENTS IN THE ROWS OF C SERVE AS INDICES TO GENERATE A NEW SEQUENCE OF CNUM 6-TUPLES, BY CHOOSING THREE CORRESPONDING ROWS FROM SEQUENCE B. EACH OF THE SIX COLUMNS OF THE GENERATED TEST EVENTS IS INTERSECTED WITH THE K0 ELEMENTS OF AN EVENT SUCCEEDING THE FINAL CHOSEN STAR EVENT, IF ANY, AND THE NUMBER OF COMMON ELEMENTS IS DETERMINED. ====================================================================== -- L 288 -- READS A SEQUENCE OF IMAX STAR EVENTS, A SEQUENCE, B, OF BNUM 3-TUPLES FROM A SUBSET OF THE ELEMENTS OF <1, 2, ... , L0 > , AND A SEQUENCE, C, OF CNUM 2-TUPLES, WHERE THE MAXIMUM ELEMENT IN SEQUENCE C DOES NOT EXCEED BNUM, THE NUMBER OF ROWS OF SEQUENCE B. MOREOVER, THE THREE ELEMENTS IN THE ROWS OF C SERVE AS INDICES TO GENERATE A NEW SEQUENCE OF CNUM 6-TUPLES, BY CHOOSING TWO CORRESPONDING ROWS FROM SEQUENCE B. EACH OF THE SIX COLUMNS OF THE GENERATED TEST EVENTS IS INTERSECTED WITH THE K0 ELEMENTS OF AN EVENT SUCCEEDING THE FINAL CHOSEN STAR EVENT, IF ANY, AND THE NUMBER OF COMMON ELEMENTS IS DETERMINED. ====================================================================== -- L 289 -- READS A SEQUENCE OF PNUM PERMUTATIONS ON A SUBSET OF THE SET, < 1, 2, ... , L0 >, AND GENERATES A NEW SEQUENCE OF PNUM PERMUTATIONS BY FILTERING THOSE ELEMENTS FROM EACH PERMUTATION WHOSE POSITIONS ARE NOT CONGRUENT TO 0 (MOD N) FOR SOME DESIRED VALUE OF N. ====================================================================== -- L 290 -- READS A SEQUENCE OF IMAX STAR EVENTS ON K0 ELEMENTS , A SEQUENCE OF LMAX BASE EVENTS PRODUCED FROM L 272 OR L 273, EACH CONSISTING OF J0 ELEMENTS, AND A SEQUENCE OF MMAX 3-ELEMENT PERMUTATIONS ON THE SET < 1 , 2, ... , J0 >. A SEQUENCE OF MMAX NEW TEST EVENTS IS GENERATED, BASED UPON THE THREE INPUT SEQUENCES. UP TO 300 TEST EVENTS ARE GENERATED PER EXECUTION. THE NUMBER OF COMMON ELEMENTS BETWEEN A FINAL CHOSEN EVENT FROM THE STAR SEQUENCE AND EACH EVENT OF THE GENERATED SEQUENCE OF TEST EVENTS IS ALSO DETERMINED. THOSE TEST EVENTS ARE IDENTIFIED WHICH HAVE A NUMBER OF ELEMENTS IN COMMON WITH THE FINAL EVENT EXCEEDING SOME DESIRED MINIMUM THRESHOLD. NOTE: J0 HAS AN UPPER BOUND OF 18 AND THE SEQUENCE OF LMAX BASE EVENTS FROM L 290.INP IS READ AND PROCESSESSED IN PAIRS. ====================================================================== -- L 291 -- (DISJOINT TRANSVERSALS HAVING FULL CARDINALITY) READS A FINITE SEQUENCE OF LATIN SQUARES OR QUASIGROUPS OF ORDER R AND LISTS, FOR EACH QUASIGROUP IN THE SEQUENCE, A SET OF R DISJOINT TRANSVERSALS, REFERRED TO AS A "TRANSVERSAL SYSTEM". EACH QUASIGROUP/LATIN SQUARE IS PRE-TESTED AND VALIDATED. THE SET OF DISJOINT TRANSVERSALS OF SIZE R (THE SIZE OF EACH QUASIGROUP) IS LISTED AS A COLUMN VECTOR. EACH QUASIGROUP OR LATIN SQUARE IS PRINTED AS AN RXR ARRAY. THE ROUTINE ALSO DETERMINES AND PRINTS THE TRANSVERSAL CONFIGURATIONS FOR EACH QUASIGROUP OR LATIN SQUARE. MOREOVER, A MENDELSOHN TRIPLE SYSTEM IS DETERMINED AND PRINTED FOR EACH QUASIGROUP WHICH IS BOTH IDEMPOTENT AND SEMI-SYMMETRIC. ====================================================================== -- L 292 -- READS THE NUMBER OF EVENTS SINCE LAST OCCURRENCE (NESLO) OF EACH OF L0 ELEMENTS, AS WELL AS, THE NUMBER OF TIMES EACH ELEMENT HAS OCCURRED AFTER SKIPPING A SPECIFIED NUMBER OF EVENTS, AND RANKS THE ELEMENTS IN DESCENDING ORDER OF NUMBER OCCURRENCES AFTER SKIPPING NESLO EVENTS. ELEMENTS ARE FILTERED WHICH LIE WITHIN A DESIRED RANGE, BASED UPON THE LEXICOGRAPHIC RANKING OF NUMBER OCCURRENCES AFTER SKIPPING NESLO EVENTS. CF. ALSO STAT55. CF. STAT64 FOR THE GENERATION OF STAT292.INP. CF. ALSO STAT466, STAT2253, AND STAT2254. GENERATED FILES PERM2.OUT AND PERM3.OUT ARE UTILIZED IN STAT2943 AS PERM.INP. ====================================================================== -- L 293 -- READS A MATRIX REFLECTING THE EXACT NUMBER OF TIMES AN ELEMENT HAS OCCURRED AFTER SKIPPING A SPECIFIED NUMBER OF EVENTS, AND RANKS THE ELEMENTS, FOR EACH COLUMN OF SPECFIED, SKIPPED EVENTS, RANGING FROM 0 TO 24 OR MORE, IN DESCENDING ORDER OF NUMBER OF OCCURRENCES. ELEMENTS ARE FILTERED WHICH LIE WITHIN A DESIRED RANGE, BASED UPON THE LEXICOGRAPHIC RANKING OF NUMBER OF OCCURRENCES AFTER SKIPPING A SPECIFIED NUMBER OF EVENTS. ====================================================================== -- L 294 -- READS A STAR SET OF IMAX EVENTS ON ELEMENTS < 1 , ... , L0 > AND A BASE INPUT SEQUENCE OF 25 J0-ELEMENT EVENTS, DETERMINING THE UNION OF ELEMENTS IN COMMOM BETWEEN BASE INPUT SET k AND STAR EVENT IMAX-(k), FOR k = 0 , ... , 24. THE BASE SEQUENCE IS GENERATED BY L 293 AND THE COMMON ELEMENTS ARE GENERATED AS HIGH-PROBABILITY ELEMENTS FOR FURTHER ANALYSIS. THE GENERATED SEQUENCE OF HIGH-PROBABILITY ELEMENTS IS ALSO INTERSECTED WITH THE MOST RECENT STAR EVENT. ====================================================================== -- L 295 -- COMPARES A SET OF K0-ELEMENT STAR EVENTS WITH A FINITE SEQUENCE OF TEST EVENTS, DETERMINES THE NUMBER OF ELEMENTS IN EACH TEST EVENT IN COMMON WITH EACH STAR EVENT, DETERMINES RELATIVE FREQUENCIES AND SUM OF RELATIVE FREQUENCIES OF COMMON ELEMENTS FOR COMPARISON, AND GENERATES A MONITOR MATRIX, REFLECTING THE PATTERNS OF OCCURRENCES OF ELEMENTS IN EACH EVENT IN THE SEQUENCE OF TEST EVENTS. GENERATES A FILE OF POSITIONAL CONFIGURATIONS FOR OCCURRENCE OF EACH ELEMENT OF THE FINAL STAR EVENT IN EACH TEST EVENT IN THE SEQUENCE AND RANKS THE TEST EVENTS IN DESCENDING ORDER OF ELEMENT OCCURRENCES. ANALYZES UP TO 80 TEST EVENTS AND 80 STAR EVENTS AND GENERATES AN ELEMENT-OCCURRENCE-MATRIX BASED UPON A DESIRED EVENT SUCCEEDING THE FINAL STAR EVENT. ====================================================================== -- L 296 -- READS A SEQUENCE OF IMAX STAR EVENTS ON K0 ELEMENTS, COMPARING THE i-th AND m-th EVENTS IN THE SEQUENCE, FOR i = 1, ... , IMAX-1 AND m = i+1, ..., IMAX, DETERMINING THE NUMBER OF COMMON ELEMENTS AND THE NUMBER OF ELAPSED EVENTS FOR THOSE PAIRS OF EVENTS WHICH HAVE A NUMBER OF COMMON ELEMENTS IN A DESIRED INTERVAL OF VALUES, M1, ... , M2. AVERAGE INTERSECTIONS AND DISTANCES ARE ALSO DETERMINED. UP TO 500 STAR EVENTS ARE ANALYZED PER EXECUTION. PREDICTS AND PRINTS A SEQUENCE OF HIGHLY PROBABLE STAR EVENTS, BASED UPON THE ELAPSED DISTANCES BETWEEN OBSERVED PAIRS OF EVENTS AND GENERATES AN ELEMENT-OCCURRENCE-MATRIX BASED ON A DESIRED EVENT SUCCEEDING THE FINAL STAR EVENT. INPUT FILE L298.INP IS ALSO GENERATED. ====================================================================== -- L 297 -- READS A SEQUENCE OF THREE INITIAL EVENT INDICES (i1, j1, k1) AND A SEQUENCE OF THREE CORRESPONDING FINAL EVENT INDICES (i1, j2, k2), DETERMININING A PROJECTED INITIAL EVENT INDEX, L, AND A PROJECTED FINAL EVENT INDEX, M, WHERE L AND M ARE DEFINED BY THE RELATIONS: L = ( j1 + ( k1 - i1 ) ( k1 - j1 ) / ( j1 - i1 ) AND M = ( j2 + ( k2 - i2 ) ( k2 - j2 ) / ( j2 - i2 ) WITH, E.G., i1, j1, k1, i2, j2, AND k2 DETERMINED FROM PROGRAM L296. THE ANALYST IS PROMPTED AT THE TERMINAL FOR INPUT INDICES. ====================================================================== -- L 298 -- READS A SEQUENCE OF IMAX INITIAL EVENT INDICES (F(i),i=1,IMAX) AND A SEQUENCE OF CORRESPONDING FINAL EVENT INDICES (G(i),i=1,IMAX), DETERMININING A SEQUENCE OF PROJECTED INITIAL EVENT INDICES AND A SEQUENCE OF OF PROJECTED FINAL EVENT INDICES, FROM TRIPLICATES OF INPUT INDICES, WHERE EACH INITIAL AND FINAL PROJECTED INDEX, L OR M, IS GIVEN BY THE RELATIONS: L = ( F(i+1) + (F(i+2)-F(i+1))(F(i+2)-F(i)) / (F(i+1) - F(i)) AND M = ( G(i+1) + (G(i+2)-G(i+1))(G(i+2)-G(i)) / (G(i+1) - G(i)) for i = 1, 2, ... , IMAX-2. INPUT INDICES ARE READ FROM THE FILE L298.INP, WHICH IS GENERATED BY PROGRAM L296. ====================================================================== -- L 299 -- READS PAIRS OF SEQUENCES OF PAIRS OF ELEMENTS. PAIRS OF ELEMENTS ARE AVERAGED TO DETERMINE A PREDICTED SEQUENCE OF HIGH-PROBABILITY ELEMENTS. PAIRS OF INPUT ELEMENTS ARE CHOSEN FROM THE TOP TWO GENERATED EVENTS IN FILE L295.OT7 AND L295.OT8 (LISTED IN L299.INP) TO GENERATE A SET OF HIGH-PROBABILITY ELEMENTS IN FILE PERM.INP. THE ANALYST IS QUERIED AT THE TERMINAL FOR PAIRS OF INPUT ELEMENTS. ======================================================================