= = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = COMP-U-STAT = = = = = = = = STATISTICAL PATTERN GENERATOR AND MATHEMATICAL TREND ANALYZER = = = = = = = = (c) Copyright 2017 by James Ervin Glover, Ph.D. = = = = All Rights Reserved = = = = = = = = = = = = Part I(c) ( STAT 141 ----> STAT 199 ) = = = = = = = = = = = = 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 141 ---> 199 * * * ====================================================================== -- L 141 -- READS A SEQUENCE OF PAST STAR EVENTS, DETERMINES AND PRINTS, FOR EACH EVENT IN THE SEQUENCE, A SET OF DELTA-k PAIRS OF ELEMENTS, WITH THEIR CORRESPONDING FREQUENCIES AND THE AVERAGE NUMBER OF DELTA-k PAIRINGS PER EVENT IN THE SEQUENCE. (A DELTA-k PAIR OF ELEMENTS IS A PAIR SEPARATED BY k UNITS , WHERE k IS AN INTEGER, 0 < k < 80 . MOREOVER, THE EVENTS ARE FILTERED FROM THE SEQUENCE OF PAST STAR EVENTS FOR WHICH THE NUMBER OF DELTA-k PAIRS IS BETWEEN PRESCRIBED, INCLUSIVE BOUNDS, AND A PREDICTION IS MADE AS TO THE NEXT OCCURRENCE OF AN EVENT SATISFYING THIS CRITERION. ====================================================================== -- L 142 -- READS A SEQUENCE OF PROPOSED OR TEST EVENTS, DETERMINES AND PRINTS, FOR EACH EVENT IN THE SEQUENCE, A SET OF DELTA-k PAIRS OF ELEMENTS, WITH THEIR CORRESPONDING FREQUENCIES AND THE AVERAGE NUMBER OF DELTA-k PAIRINGS PER EVENT IN THE SEQUENCE. (A DELTA-k PAIR OF ELEMENTS IS A PAIR SEPARATED BY k UNITS , WHERE k IS AN INTEGER, 0 < k < 80 . MOREOVER, THE EVENTS ARE FILTERED FROM THE SEQUENCE OF EVENTS FOR WHICH THE NUMBER OF DELTA-k PAIRS IS BETWEEN PRESCRIBED, INCLUSIVE BOUNDS. ====================================================================== -- L 143 -- READS A SEQUENCE OF PAST STAR EVENTS, DETERMINES AND PRINTS, FOR EACH EVENT IN THE SEQUENCE, A SET OF DELTA-k PAIRS OF ELEMENTS, WITH THEIR CORRESPONDING FREQUENCIES AND THE AVERAGE NUMBER OF DELTA-k PAIRINGS PER EVENT IN THE(SEQUENCE. (A DELTI-k PAIR OF ELEMENTS IS A PAIR SEPARATED BY k UNITS , WHERE k IS AN INTEGER, 0 < k < 80 ). THE EVENTS ARE FILTERED FROM THE SEQUENCE ON PAST STAR EVENTS FOR WHICH THE NUMBER OF DELTA-k PAIRS IS BETWEEN PRESCRIBED, INCLUSIVE BOUNDS, AND A PREDICTION IS MADE AS TO THE NEXT OCCURRENCE OF AN EVENT SATISFYING THIS CRITERION. MOREOVER, A COMPLETE LISTING OF MAGNITUDES OF k FOR EACH DELTA-k PAIR ( WHERE 0 < k < 80 ) IS GENERATED FOR EACH EVENT IN THE ORIGINAL SEQUENCE. ====================================================================== -- L 144 -- READS A SEQUENCE OF PROPOSED OR TEST EVENTS, DETERMINES AND PRINTS, FOR EACH EVENT IN(THE SEQUENCE, A SET OF DELTA-k PAIRSO OF ELEMENTS, WITH (THEIR CORRESPONDING FREQUENCIES AND THE AVERAGE NUMBER OF(DELTA-k PAIRINGS PER EVENT IN THE SEQUENCE. (A DELTA-k PAIR OF ELEMENTS IS A PAIR SEPARATED BY k UNITS , WHERE k IS AN INTEGER, 0 < k < 80 ). THE EVENTS ARE FILTERED FROM THE SEQUENCE OF EVENTS FOR WHICH THE NUMBER OF DELTA-k PAIRS IS BETWEEN PRESCRIBED, INCLUSIVE BOUNDS. MOREOVER, A COMPLETE LISTING OF MAGNITUDES OF k FOR EACH DELTA-k PAIR ( WHERE 0 < k < 80 ) IS GENERATED FOR EACH EVENT IN THE ORIGINAL SEQUENCE. ====================================================================== -- L 145 -- DETERMINES A SEQUENCE OF EVENTS WHICH INTERSECT EVERY EVENT OF A FIXED OR BASE SEQUENCE OF PERMUTATIONS OF FIXED OR VARYING SIZES , IN k SPECIFIC ELEMENTS, WHERE k IS IN THE INTERVAL (Xo,Yo), INCLUSIVE OF ENDPOINTS , I.E., INTERSECTS A SET OF p - ELEMENT PERMUTATIONS WITH m K0 - ELEMENT EVENTS, WHERE m IS A POSITIVE INTEGER, AND FILTERS ONLY THOSE EVENTS HAVING k ELEMENTS IN COMMON WITH EACH PERMUTATION IN A BASE SET, FOR SOME INTEGER k VARYING IN THE RANGE (Xo,Yo), INCLUSIVE OF ENDPOINTS, WHERE Xo and Yo ARE NON-NEGATIVE INTEGERS WITH Yo < 7 AND WITH , E.G., K0 = 6 AND p = 20 . ====================================================================== -- L 146 -- DETERMINES A SEQUENCE OF EVENTS WHICH INTERSECT AT LEAST ONE EVENT IN A FIXED SEQUENCE OF PAST STAR EVENTS, IN k SPECIFIC ELEMENTS, WHERE k IS IN THE INTERVAL (Xo,Yo), INCLUSIVE OF ENDPOINTS, i.e., INTERSECTS A SET OF 7-ELEMENT BLOCKS WITH m 6-ELEMENT EVENTS, WHERE m IS A POSITIVE INTEGER, AND FILTERS ONLY THOSE EVENTS HAVING k ELEMENTS IN COMMON WITH THE FIXED OR BASE SET, FOR SOME INTEGER k VARYING IN THE RANGE (Xo,Yo) , INCLUSIVE OF ENDPOINTS, WHERE Xo and Yo ARE NON-NEGATIVE INTEGERS WITH Yo < 7. ====================================================================== -- L 147 -- DETERMINES A SEQUENCE OF EVENTS WHICH INTERSECT AT LEAST ONE EVENT OF A BASE SEQUENCE OF PERMUTATIONS OF FIXED OR VARYING SIZES , IN k SPECIFIC ELEMENTS, WHERE k IS IN THE INTERVAL (Xo,Yo), INCLUSIVE OF ENDPOINTS , i.e., INTERSECTS A SET OF p - ELEMENT PERMUTATIONS WITH m K0 - ELEMENT EVENTS, WHERE m IS A POSITIVE INTEGER, AND FILTERS ONLY THOSE EVENTS HAVING k ELEMENTS IN COMMON WITH SOME PERMUTATION IN THE BASE SET, FOR SOME INTEGER k VARYING IN THE RANGE (Xo,Yo), INCLUSIVE OF ENDPOINTS, WHERE Xo and Yo ARE NON-NEGATIVE INTEGERS WITH Yo < 7 AND WITH , E.G., K0 = 6 AND p = 20 . ====================================================================== -- L 148 -- DETERMINES AND PRINTS : 1) A MATRIX INDICATING, FOR EACH EVENT IN A SEQUENCE, THE NUMBER OF PAIRS OF ELEMENTS WHICH HAVE OCCURRED CONCURRENTLY IN A PRECEDING EVENT, AS WELL AS, THE % OF EVENTS IN WHICH A SET OF SUCH PAIRS OF ELEMENTS OCCURS AND THE AVERAGE # OF PAIRS PER EVENT - 2) A MATRIX OF LONGSHOT AND REPEAT ELEMENTS FOR A SEQUENCE OF EVENTS - 3) A FREQUENCY MATRIX FOR REPEATED ELEMENTS AND LONGSHOTS FOR A SEQUENCE OF EVENTS - 4) A FREQUENCY TABLE OF OCCURRENCES FOR ELEMENTS vs. # SKIPS SINCE THE LAST OCCURRENCE FOR A FINAL OR GIVEN EVENT REQUESTED - 5) A SKIP-AND-HIT MATRIX , INDICATING THE RELATIVE NUMBER OF EVENTS IN WHICH EACH ELEMENT HAS SKIPPED OR OCCURRED ON A GIVEN DATE (ANALYZING UP TO 50 EVENTS PER EXECUTION) - ====================================================================== -- L 149 -- READS A SEQUENCE OF k J0-ELEMENT SUBSETS, DETERMINES AND PRINTS ALL k C 2 ( k choose 2 ) DISTINCT 2*J0 - ELEMENT EVENTS WHICH RESULT FROM PAIRWISE CONCATENATION OF EVENTS, WHERE J0 MAY RANGE BETWEEN 1 AND 100. MOREOVER, A SEQUENCE OF STAR EVENTS IS READ, THE SUCCESSORS OF A SELECTED RANGE OF STAR EVENTS ARE INTERSECTED WITH EACH GENERATED 2*J0 - ELEMENT EVENT AND COMMON ELEMENTS ARE INDICATED, AS WELL AS A FREQUENCY MATRIX WHICH INDICATES PERCENTAGES OF OCCURRENCES. ====================================================================== -- L 150 -- READS A SEQUENCE OF FINITE BASE SETS OF ELEMENTS, ISOLATES AND PRINTS THOSE PAIRS OF BASE SETS WHICH INTERSECT IN EXACTLY k ELEMENTS, WHERE k SATISFIES THE CONDITION OF BEING BETWEEN SOME PRESCRIBED, INCLUSIVE LOWER AND UPPER BOUNDS, Xo AND Yo, RESPECTIVELY, WITH, e.g., k = 10 , Xo = 8 , AND YO = 12. ====================================================================== -- L 151 -- READS A SEQUENCE OF STAR EVENTS ON THE ELEMENTS ( 1 ,..., k ), DETERMINES THE MOST RECENT EVENT IN WHICH EACH ELEMENT HAS OCCURRED, DETERMINES THE DISTANCES OF SUCH OCCURRENCES FROM THE FINAL EVENT ( # EVENTS SINCE LAST OCC.), RANKS THE ELEMENTS IN DESCENDING ORDER OF # OF OCCURRENCES, AND PRINTS A MATRIX REFLECTING THESE STATISTICS WITH, e.g., k = 54 . ====================================================================== -- L 152 -- * * SEQUENCES OF PAIRS OF HIGHLY PROBABLE ELEMENTS * * READS A SEQUENCE OF PERMUTATIONS (BASE SETS) OF VARYING SIZES AND A SEQUENCE OF PAST STAR EVENTS, DETERMINES PAIRS OF ELEMENTS, IN EACH PERMUTATION OF THE SEQUENCE, WHICH SIMULTANEOUSLY OCCUR IN AT LEAST ONE EVENT OF THE LAST k ARBITRARILY SELECTED STAR EVENTS, AND PRINTS THOSE PAIRS AS A GENERATED SEQUENCE OF BASE SETS OF HIGHLY PROBABLE ELEMENTS WITH , e.g., k = 5. ====================================================================== -- L 153 -- * * FREQUENCY COUNTS FOR COMMON ELEMENTS IN PAIRS OF BASE SETS * * COMPARES A FIXED BASE SET OF ELEMENTS WITH A SEQUENCE OF ARBITRARY BASE SETS AND FILTERS ONLY THOSE BASE SETS WHOSE INTERSECTIONS WITH THE FIXED BASE SET ARE BETWEEN ARBITRARILY CHOSEN CONSTANT BOUNDS, COMPARING A MAXIMUM OF 80 PAIRS OF BASE SETS PER SEQUENCE. ====================================================================== -- L 154 -- INTERSECTS A SEQUENCE OF L t-ELEMENT BASE SETS WITH A SEQUENCE OF M k-ELEMENT BASE SETS, WHERE L AND M ARE ARBITRARY POSITIVE INTEGERS, DETERMINES CLASSES WITH INTERSECTIONS OF VARIOUS SIZES, AND PRINTS A FREQUENCY MATRIX FOR INTERSECTIONS OF BASE SET I FROM THE FIRST SEQUENCE AND BASE SET J FROM THE SECOND SEQUENCE WITH, e.g., L = l00, M = 200, t = 12, AND k = 10. ====================================================================== -- L 155 -- GENERATES A SEQUENCE OF WHEELED OR PERMUTED EVENTS FROM A FIXED WHEEL AND A SEQUENCE OF FIXED PERMUTATIONS OF ARBITRARY OR DESIRED DEGREES. ====================================================================== -- L 156 -- READS AND ANALYZES THE LAST k STAR EVENTS IN A SEQUENCE OF j-ELEMENT BLOCKS AND DETERMINES THE FREQUENCY OF EACH OF L0 ELEMENTS, THE SUM OF FREQUENCIES AND THE AVERAGE FREQUENCY OVER THE LAST k EVENTS, SORTS THE FREQUENCIES AND DETERMINES THE TOP t MOST FREQUENT ELEMENTS AND THE BOTTOM t LEAST FREQUENT ELEMENTS, AND PRINTS A MATRIX REFLECTING A SPECIAL METRIC OF WEIGHTS FOR EACH ELEMENT EXPRESSED AS A RATIO OF FREQUENCY TO SUM TOTAL OF FREQUENCIES OVER THE LAST k EVENTS. ====================================================================== -- L 157 -- READS AND ANALYZES A FIXED SEQUENCE OF TEST EVENTS AND A SEQUENCE OF THE MOST RECENTLY DETERMINED FREQUENCY WEIGHTS (GENERATED FROM STAT156: FILE STAT157.IN2) AND FILTERS THOSE EVENTS FOR WHICH THE SUM OF FREQUENCY WEIGHTS OF ELEMENTS ARE WITHIN DESIRED LOWER AND UPPER BOUNDS. ====================================================================== -- L 158 -- READS AND ANALYZES A FIXED SEQUENCE OF TEST EVENTS AND A SEQUENCE OF THE MOST RECENTLY DETERMINED FREQUENCY WEIGHTS (GENERATED FROM STAT156: FILE STAT158.IN2) AND FILTERS THOSE EVENTS FOR WHICH THE SUM OF FREQUENCY WEIGHTS OF ELEMENTS ARE WITHIN THE UNION OF THREE INTERVALS DETERMINED BY TWO SPECIFIED DISTANCES, d1 AND d2, FROM THE AVERAGE WEIGHT SUM. ====================================================================== -- L 159 -- 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 ( i.e., THE NUMBER OF EVENTS SINCE THE GIVEN ELEMENT LAST OCCURRED), 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 AND NUMBER OF ELAPSED EVENTS SINCE LAST OCCURRENCE SATISFY BOUNDARY CONDITIONS DETERMINED BY ARBITRARILY CHOSEN CONSTANT BOUNDS. ====================================================================== -- L 160 -- DETERMINES THE NUMBER AND % OF EVENTS IN A SEQUENCE FOR WHICH THE WEIGHT SUM OF ELEMENTS LIE WITHIN A SPECIFIED, INCLUSIVE RANGE, (Xo,Yo), THE LAST EVENT AND POSITION OF THE LAST EVENT SATISFYING THE ABOVE FILTERING CRITERION (RELATIVE TO THE FINAL EVENT), AND PREDICTS THE OCCURRENCE AND POSITION OF THE NEXT EVENT WHICH WILL SATISFY THE FILTERING CRITERION. ====================================================================== -- L 161 -- DETERMINES THE NUMBER AND % OF EVENTS IN A SEQUENCE FOR WHICH THE WEIGHT SUM OF ELEMENTS LIE WITHIN THE UNION OF THREE INTERVALS DETERMINED BY TWO ARBITRARILY CHOSEN DISTANCES, d1 AND d2, FROM THE AVERAGE WEIGHT-SUM , FILTERS THOSE EVENTS FROM THE SEQUENCE, DETERMINES THE LAST EVENT AND POSITION OF THE LAST EVENT WHICH SATISFIES THE ABOVE FILTERING CRITERION (RELATIVE TO THE FINAL EVENT), AMD PREDICTS THE OCCURRENCE AND POSITION OF THE NEXT EVENT WHICH WILL SATISFY THE FILTERING CRITERION. ====================================================================== -- L 162 -- READS, ANALYZES, AND SORTS A SEQUENCE OF WEIGHT-SUMS OF ELEMENTS OVER THE LAST k STAR EVENTS AND A SEQUENCE OF WEIGHT-SUM- INCREMENTS BETWEEN THE LAST k EVENTS WITH, AND DETERMINES THE AVERAGE WEIGHT-SUM AND THE AVERAGE WEIGHT-SUM-INCREMENT OVER THE LAST k EVENTS WITH, e.g., k = 50 . THE NECESSARY INPUT FILES STAT162.IN1 AND STAT162.IN2 ARE GENERATED AS OUTPUT FILES FROM STAT156. ====================================================================== -- L 163 -- READS, ANALYZES, AND SORTS A SEQUENCE OF FUNCTIONAL VALUES (e.g., SAMPLE POINTS FROM SOME POPULATION), DETERMINES THE MEAN, MEDIAN, VARIANCE, STANDARD DEVIATION, MEAN DEVIATION, PEARSONIAN COEFFICIENT OF SKEWEDNESS, AND ANALYZES THE INPUT DISTRIBUTION WITH RESPECT TO INTERVALS CONTAINING SPECIFIED PERCENTAGES OF THE VALUES, ACCORDING TO CHEBYSHEV'S THEOREM, AND COMPUTES THE PROBABILITY DISTRIBUTION OF A RANDOM VARIABLE. (REAL INPUT VALUES OF THE SAMPLE POINTS OR REAL FUNCTIONAL VALUES ARE READ FROM THE FILE STAT163.INP, WHICH IS EITHER PROVIDED BY THE ANALYST OR GENERATED FROM AN EXTERNAL PROGRAM. FORMAT OF FILE STAT163.INP: (LINE 1: NUMBER OF DATA POINTS, N, COLS. 1-4, I4 FORMAT; REMAINING LINES: SEQUENCE OF N DATA POINTS OR FUNCTIONAL VALUES, FREE FORMAT). ====================================================================== -- L 164 -- READS, ANALYZES, AND SORTS A SEQUENCE OF FUNCTIONAL VALUES (e.g., SAMPLE POINTS FROM SOME POPULATION), DETERMINES THE MEAN, MEDIAN, VARIANCE, STANDARD DEVIATION, MEAN DEVIATION, PEARSONIAN COEFFICIENT OF SKEWEDNESS, AND ANALYZES THE INPUT DISTRIBUTION WITH RESPECT TO INTERVALS CONTAINING SPECIFIED PERCENTAGES OF THE VALUES, ACCORDING TO CHEBYSHEV'S THEOREM, AND COMPUTES THE PROBABILITY DISTRIBUTION OF A RANDOM VARIABLE. (THE ANALYST IS PROMPTED AT THE TERMINAL FOR INPUT OF REAL VALUES OF THE SAMPLE POINTS OR REAL FUNCTIONAL VALUES). ====================================================================== -- L 165 -- READS A SEQUENCE OF BASE SETS, EACH OF WHICH CONSISTS OF A SET OF SINGLE DIGITS WITH VALUES BETWEEN 0 AND 9, INCLUSIVE, AND DETERMINES THE SET OF ALL TRANSPOSITIONS OR 2-CYCLES OF THE DIGITS WHICH DO NOT EXCEED A SPECIFIED OR DESIRED MAGNITUDE. (THE ANALYST IS PROMPTED AT THE TERMINAL FOR INPUT OF THE NUMBER AND THE VALUES OF DIGITS IN EACH BASE SET OF THE SEQUENCE). ====================================================================== -- L 166 -- READS A SEQUENCE OF BASE SETS, EACH OF WHICH CONSISTS OF A SET OF SINGLE DIGITS WITH VALUES BETWEEN 0 AND 9, INCLUSIVE, AND DETERMINES THE SET OF ALL TRANSPOSITIONS OR 2-CYCLES OF THE DIGITS WHICH DO NOT EXCEED A SPECIFIED OR DESIRED MAGNITUDE. (THE NUMBER AND VALUES OF THE SEQUENCE OF DIGITS IN EACH BASE SET TO BE ANALYZED ARE READ FROM THE FILE STAT166.INP, WHICH IS GENERATED FROM AN EXTERNAL PROGRAM OR PROVIDED BY THE ANALYST). ====================================================================== -- L 167 -- READS A SET OF k-ELEMENT EVENTS, DETERMINES AND PRINTS THE PATTERN OF SINGLE DIGITS ASSOCIATED WITH EACH EVENT FOR ANALYSIS IN PROGRAMS: STAT165 AND STAT166. GENERATES A SEQUENCE OF CARDINALITIES OF SINGLE DIGITS PER EVENT FOR STATISTICAL ANALYSIS IN STAT163. ====================================================================== -- L 168 -- FREQUENCY COUNTS FOR ELEMENTS IN A BASE SET PROGRAM COMPARES A SET OF k-ELEMENT BLOCKS WITH A FINITE BASE SET OF ELEMENTS AND DETERMINES THE NUMBER OF COMMON ELEMENTS. THE EVENTS ARE FILTERED FROM THE SEQUENCE OF k-ELEMENT BLOCKS FOR WHICH THE NUMBER OF ELEMENTS IN COMMON WITH A GIVEN BASE SET IS BETWEEN PRESCRIBED, INCLUSIVE BOUNDS, AND A PREDICTION IS MADE AS TO THE NEXT OCCURRENCE OF AN EVENT SATISFYING THIS CRITERION. A SPECIAL FILE IS CREATED, COMPARING FREQUENCIES BETWEEN DIFFERENT BASE SETS FOR EACH SPECIFIC DATE OR EVENT, BACKING UP A SPECIFIED NUMBER OF EVENTS FROM THE FINAL EVENT. ====================================================================== -- L 169 -- DETERMINES THE FREQUENCIES OF ELEMENTS FROM A SEQUENCE OF j-ELEMENT BLOCKS, THE SUM OF FREQUENCIES AND THE AVERAGE FREQUENCY OVER k EVENTS, SORTS THE FREQUENCIES AND DETERMINES THE TOP t MOST FREQUENT ELEMENTS AND THE BOTTOM t LEAST FREQUENT ELEMENTS, AND DETERMINES SEQUENCES OF HIGHLY PROBABLE ELEMENTS, BASED UPON ARBITRARILY ASSIGNED RADIAL DISTANCES, d1 AND d2, FROM THE AVERAGE FREQUENCY. ====================================================================== -- L 170 -- DETERMINES THE FREQUENCIES OF ELEMENTS FROM A SEQUENCE OF j-ELEMENT BLOCKS, THE SUM OF FREQUENCIES AND THE AVERAGE FREQUENCY OVER k EVENTS, SORTS THE FREQUENCIES AND DETERMINES THE TOP t MOST FREQUENT ELEMENTS AND THE BOTTOM t LEAST FREQUENT ELEMENTS, AND DETERMINES SEQUENCES OF HIGHLY PROBABLE ELEMENTS, BASED UPON VECTORS OF PRESCRIBED DISCRETE DISTANCES FROM THE AVERAGE FREQUENCY. ====================================================================== -- L 171 -- COMPUTES AND PRINTS A "FREQUENCY CONFIGURATION MATRIX", INDICATING THE NUMBER OF EVENTS THAT EACH ELEMENT ( 1 ,..., k ) "SKIPS" BEFORE IT OCCURS AGAIN. IT DETERMINES HITS FOR ELEMENTS vs. THE NUMBER OF SKIPS SINCE THE LAST OCCURRENCE; THE NUMBER OF "SINGLES" SINCE THE LAST "DOUBLE", OVER THE LAST m EVENTS EVENTS; FREQUENCIES OF LONGSHOT AND REPEAT ELEMENTS FOR A SEQUENCE OF EVENTS, AND THEIR PERCENTAGES OF OCCURRENCE; A TABLE OF SORTED SD-Ratios (Single-To-Double Ratios); GENERATES TABLES AND SEQUENCES OF HIGHLY LIKELY ELEMENTS FROM BELOW-AVERAGE SD-Ratios, FROM SINGLES vs. DOUBLES AND FROM SD-Ratios vs. # SINGLES OVER THE LAST m EVENTS; AND, DETERMINES A TABLE OF CONSECUTIVE OCCURRENCE WITH CORRESPONDING SD-Ratios, AVERAGES, AND RANKINGS WITH, e.g., k = 49 AND m = 100. MOREOVER, HIGHLY LIKELY ELEMENTS ARE FILTERED, HAVING # SKIPS SINCE THE LAST HIT EQUIVALENT TO THE ENTRIES OF A SEQUENCE OF DESIRED VECTORS OF INTEGERS PRESCRIBED BY THE ANALYST. ====================================================================== -- L 172 -- READS A SEQUENCE OF WINNING 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 OCC., PRINTS A TABLE 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. ALL K0 COLUMNS ARE ANALYZED PER EVENT. ELEMENTS ARE ALSO FILTERED BASED UPON A DESIRED VECTOR OF PERCENTAGES OF OCCURRENCE PROVIDED BY THE ANALYST. SEEE ( L 262 ) FOR THE VERSION WHICH IS RESTRICTED TO A DESIRED SINGLE COLUMN. THE ANALYST IS QUERIED FOR A DESIRED RANGE OF INDEXES FOR WHICH RANKED HIGH-PROBABILITY ELEMENTS WILL BE OUTPUT TO THE FILE PERM.INP FOR FUTURE APPLICATIONS AND THIS PROCESSES IS CYCLICALLY REPEATED ANY DESIRED NUMBER OF TIMES. A FILE OF ELEMENT OCCURRENCE CADENCES IS GENERATED AND RECORDED IN PERM.INP FOR UTILIZATION IN STAT2948 AS PERM.INP. ====================================================================== -- L 173 -- DETERMINES THE FREQUENCIES OF ELEMENTS FROM A SEQUENCE OF j-ELEMENT BLOCKS, THE SUM OF FREQUENCIES AND THE AVERAGE FREQUENCY OVER k EVENTS, SORTS THE FREQUENCIES AND DETERMINES THE TOP t MOST FREQUENT ELEMENTS AND THE BOTTOM t LEAST FREQUENT ELEMENTS, AND DETERMINES SEQUENCES OF HIGHLY PROBABLE ELEMENTS, BASED UPON THE FACT THAT THE PROBABILITY OF AN ELEMENT BEING INCLUDED IN A SIMPLE RANDOM SAMPLE OF SIZE n FROM A POPULATION OF N OBJECTS IS n/N. BACKING UP A SEQUENCE OF OF NUMBERS OF EVENTS, (, i = 1,2, ... , j) FROM THE FINAL EVENT, IT CHOOSES CORRESPONDING SEQUENCES OF ELEMENTS WITH FREQUENCIES WITHIN Vm UNITS OF (n/N)(Ki) WITH, e.g., j = 3 and m = 1, 2, 3, ... , 5. ====================================================================== -- L 174 -- DETERMINES, FROM A SEQUENCE OF EVENTS, THE NUMBER AND % OF EVENTS WHICH HAVE A PRESCRIBED NUMBER OF ELEMENTS IN ARBITRARY INTERVALS DETERMINED BY ELEMENTS ASSIGNED AS MINIMUM AND MAXIMUM CUT-POINTS, WITH THOSE INTERVALS ISOLATED FOR WHICH THE NUMBER OF ELEMENTS CONTAINED EQUALS 4, 5, 6, OR 7. ====================================================================== -- L 175 -- DETERMINES, FROM A SEQUENCE OF EVENTS, THE NUMBER AND % OF EVENTS WHICH HAVE A PRESCRIBED NUMBER OF ELEMENTS IN ARBITRARY INTERVALS DETERMINED BY ELEMENTS ASSIGNED AS MINIMUM AND MAXIMUM CUT-POINTS, WITH THOSE INTERVALS ISOLATED FOR WHICH THE NUMBER OF ELEMENTS CONTAINED LIES, INCLUSIVELY, BETWEEN m1 AND m2 , WHERE 0 < m1 < m2 < 8 . ====================================================================== -- L 176 -- READS, ANALYZES, AND SORTS A SEQUENCE OF RANDOM VARIABLES (e.g., SAMPLE POINTS FROM SOME POPULATION), DETERMINES THE MEAN, MEDIAN, VARIANCE, STANDARD DEVIATION, MEAN DEVIATION, PEARSONIAN COEFFICIENT OF SKEWEDNESS, ANALYZES THE INPUT DISTRIBUTION WITH RESPECT TO INTERVALS CONTAINING SPECIFIED PERCENTAGES OF THE VALUES, ACCORDING TO CHEBYSHEV'S THEOREM, AND GENERATES A MATRIX INDICATING SPECIFIED BOUNDS WITHIN 0, 1, 2, OR 3 STANDARD DEVIATIONS FROM THE MEAN VALUE. (REAL INPUT VALUES OF THE SAMPLE POINTS OR REAL FUNCTIONAL VALUES ARE READ FROM THE FILE STAT176.INP, WHICH IS EITHER PROVIDED BY THE ANALYST OR GENERATED FROM AN EXTERNAL PROGRAM. FORMAT OF FILE STAT176.INP: (LINE 1: NUMBER OF DATA POINTS, N ; REMAINING LINES: SEQUENCE OF N DATA POINTS OR FUNCTIONAL VALUES, FREE FORMAT). ====================================================================== -- L 177 -- READS AN INITIAL BLOCK OF 3-ELEMENT EVENTS, PERMUTES THE COLUMNS OF THE BLOCK, AND DETERMINES A SEQUENCE OF PERMUTED EVENTS OF SIZE 5 OR 6, AS DESIRED, GENERATING A HOMOGENEOUS SAMPLING OF ELEMENTS FROM THE INITIAL BLOCK, AND PROCESSING UP TO 21 ELEMENTS PER BLOCK. ====================================================================== -- L 178 -- READS AN INITIAL BLOCK OF 3-ELEMENT EVENTS, PERMUTES THE COLUMNS OF THE BLOCK, AND DETERMINES A SEQUENCE OF PERMUTED EVENTS OF SIZE 5 OR 6, AS DESIRED, GENERATING A HOMOGENEOUS SAMPLING OF ELEMENTS FROM THE INITIAL BLOCK, AND PROCESSING UP TO 27 ELEMENTS PER BLOCK. ====================================================================== -- L 179 -- READS A SET OF k-ELEMENT EVENTS, DETERMINES THE SUM OF ELMENTS IN EACH EVENT, AND FILTERS EACH EVENT WHICH HAS A SUM OF ELEMENTS WITHIN DESIRED, PRE-DETERMINED RANGES, DETERMINED AS FUNCTIONS OF THE MEAN AND STANDARD DEVIATION OF EVENT SUMS, BACKING UP A DESIRED NUMBER OF EVENTS FROM THE FINAL EVENT. A FILE OF ELEMENT SUMS FOR EACH COLUMN AND A FILE OF ELEMENT SUMS PER EVENT ARE GENERATED FOR FURTHER ANALYSIS. SEE STAT23 FOR VERSION I. ====================================================================== -- L 180 -- DETERMINES THE NUMBER AND % OF EVENTS IN A GIVEN SEQUENCE OF EVENTS FOR WHICH t1 UP TO t2 ( WHERE 0 < t1 < t2 < 11) ELEMENTS OF EACH EVENT LIE WITHIN THE UNION OF A SEQUENCE OF BASE SETS OF ELEMENTS , AND FILTERS THOSE EVENTS FROM THE SEQUENCE. IN THE LEXICOGRAPHIC ORDERING OF THE ELEMENTS OF EACH MEASURED EVENT, THE k-th ELEMENT IS TESTED FOR MEMBERSHIP IN THE k-th BASE SET, WHERE k = 1,2 ,..., K0 AND K0 IS THE NUMBER OF ELEMENTS IN EACH EVENT.' ====================================================================== -- L 181 -- READS A SEQUENCE OF PAST STAR EVENTS AND ADDS TO EACH ELEMENT OF THE LAST EVENT A DESIRED SET OF ( + or - ) RANDOM INTEGER INCREMENTS, WHICH ARE READ FROM A SEQUENCE OF BASE SETS SUPPLIED BY THE ANALYST, THUS GENERATING A NEW SEQUENCE OF PROJECTED EVENTS. ALSO GENERATES, FROM A BASE SET OF EVENTS, A FILE OF K0 GROUPS OF ELEMENTS, EACH GROUP CONSISTING OF ELEMENTS FROM COLUMN j ( WHERE j = 1, 2, ... , K0 ). ====================================================================== -- L 182 -- USES A SEQUENCE OF PERMUTATIONS OF K0-ELEMENT EVENTS, WHICH ARE READ AS ROWS OF A K0 x K0 LATIN SQUARE 2 AND AN ARBITRARY K0 x K0 ARRAY ON ( 1, 2, ... , K0 ), TO GENERATE A SEQUENCE OF TRANSVERSALS OF SIZE K0. A TRANSVERSAL OF A K0 x K0 ARRAY IS A COLLECTION OF K0 CELLS, NO TWO OF WHICH ARE IN THE SAME ROW OR COLUMN. ====================================================================== -- L 183 -- SKIP-AND-OCCURRENCE MATRIX III DETERMINES AND PRINTS THE NUMBER OF TIMES EACH ELEMENT ( 1 ,..., L0 ) HAS OCCURRED AFTER SKIPPING ONE OR MORE EVENTS, i.e., RECORDS THE NUMBER OF TIMES EACH ELEMENT ( 1 ,..., L0 ) HAS OCCURRED AFTER SKIPPING ANY SPECIFIC NUMBER OF EVENTS BETWEEN OCCURRENCES. IF AN ELEMENT k HAS OCCURRED t TIMES AFTER SKIPPING j EVENTS AND IF t IS > THAN OR = TO THE AVERAGE NUMBER OF TIMES AN ELEMENT OCCURS AFTER SKIPPING j EVENTS AND IT IS KNOWN THAT ELEMENT k HAS NOT OCCURRED IN THE LAST j EVENTS, THEN k IS CHOSEN AS AN ELEMENT OF A WHEEL FOR FILTERING, ETC. THE COMPLEMENT OF THIS SET OF ELEMENTS IS ALSO GENERATED. MOREOVER, TABLES OF SORTED SD-Ratios (Single-To-Double Ratios) AND DS-Ratios (Double-To-Single Ratios) ARE PRINTED AND A SEQUENCE OF HIGHLY PROBABLE ELEMENTS WITH SD-Ratios NOT EXCEEDING THE AVERAGE SDH Ratio, BACKING UP A SPECIFIED NUMBER OF EVENTS FROM THE FINAL EVENT WITH, e.g., k = 49, IS GENERATED. ====================================================================== -- L 184 -- SKIP-AND-OCCURRENCE MATRIX IV DETERMINES AND PRINTS THE NUMBER OF TIMES EACH ELEMENT ( 1 ,..., L0 ) HAS OCCURRED AFTER SKIPPING ONE OR MORE EVENTS, i.e., RECORDS THE NUMBER OF TIMES EACH ELEMENT ( 1 ,..., L0 ) HAS OCCURRED AFTER SKIPPING ANY SPECIFIC NUMBER OF EVENTS BETWEEN OCCURRENCES. THE ANALYST CHOOSES RADIAL DISTANCES d1 AND d2 SUCH THAT, IF AN ELEMENT k HAS OCCURRED t TIMES AFTER SKIPPING j EVENTS AND IF t IS WITHIN THE CHOSEN INTERVAL (m-d1,m+d1), INCLUSIVE OF ENDPOINTS, WHERE m = THE AVERAGE NUMBER OF TIMES AN ELEMENT OCCURS AFTER SKIPPING j EVENTS, UNION THE INTERVALS (-infinity,m-d2) U (m+d2,infinity), WHERE IT IS KNOWN THAT ELEMENT k HAS NOT OCCURRED IN THE LAST j EVENTS, THEN k IS CHOSEN AS AN ELEMENT OF A WHEEL FOR FILTERING, ETC. A SEQUENCE OF ELEMENTS WITH FREQUENCIES OF THE # OF EVENTS-SINCE-LAST-OCC. INTERIOR TO, AND EXTERIOR TO, A DISIRED INTERVAL (t1,t2), INCLUSIVE OF ENDPOINTS, IS ALSO GENERATED FROM DESIRED THRESHOLDS, t1 AND t2. MOREOVER, TABLES OF SORTED SD-Ratios (Single-To-Double Ratios) AND DS-Ratios (Double-To-Single Ratios) ARE PRINTED AND A SEQUENCE OF HIGHLY PROBABLE ELEMENTS WITH SD-Ratios NOT EXCEEDING THE AVERAGE SDH Ratio, BACKING UP A SPECIFIED NUMBER OF EVENTS FROM THE FINAL EVENT WITH, e.g., k = 49, IS GENERATED. ====================================================================== -- L 185 -- TERSE VERSION COMPUTES AND PRINTS A FREQUENCY CONFIGURATION MATRIX, INDICATING THE NUMBER OF EVENTS THAT EACH ELEMENT ( 1 ,..., k ) "SKIPS" BEFORE IT OCCURS AGAIN, AND DETERMINES THE NUMBER OF OCCURRENCES FOR ELEMENTS vs. THE NUMBER OF SKIPS SINCE THE LAST OCCURRENCE. ====================================================================== -- L 186 -- DETERMINES THE FREQUENCIES OF ELEMENTS FROM A SEQUENCE OF PAST STAR j-ELEMENT EVENTS, THE SUM OF FREQUENCIES AND THE AVERAGE FREQUENCY OVER k EVENTS, SORTS THE FREQUENCIES AND DETERMINES THE TOP t MOST FREQUENT ELEMENTS AND THE BOTTOM t LEAST FREQUENT ELEMENTS, AND FILTERS A PROSPECTIVE SEQUENCE OF EVENTS SATISFYING THE CRITERION OF HAVING ELEMENTS, THE SUM OF WHOSE DEVIATIONS OF FREQUENCIES FROM THE AVERAGE FREQUENCY IS WITHIN CERTAIN LIMITS PRESCRIBED BY THE ANALYST. ====================================================================== -- L 187 -- READS A BASE SEQUENCE OF PAST STAR EVENTS, SELECTS A DESIRED BACK-UP RANGE OF EVENTS, [# k1, # k2], CLASSIFIES ALL ELEMENTS BY THE NUMBER OF OCCURRENCES OVER THE BACK-UP RANGE OF EVENTS, AND CLASSIFIES THE LAST k1 EVENTS OF THE BASE SEQUENCE BY THE NUMBER OF ELEMENTS EITHER OCCURRING EXACTLY ONCE, MORE THAN ONCE, OR NOT OCCURRING OVER THE PRECEDING RANGE OF k2 - k1 EVENTS. A SEQUENCE OF OCCURRENCE CARDINALITIES IS GENERATED FOR STATISTICAL ANALYSIS, E.G., IN L-176. ====================================================================== -- L 188 -- DETERMINES THE FREQUENCIES OF ELEMENTS FROM A SEQUENCE OF PAST STAR j-ELEMENT EVENTS, THE SUM OF FREQUENCIES AND THE AVERAGE FREQUENCY OVER k EVENTS, SORTS THE FREQUENCIES AND DETERMINES THE TOP t MOST FREQUENT ELEMENTS AND THE BOTTOM t LEAST FREQUENT ELEMENTS, AND FILTERS A PROSPECTIVE SEQUENCE OF EVENTS SATISFYING THE CRITERION OF HAVING ELEMENTS, THE SUM OF WHOSE DEVIATIONS OF FREQUENCIES FROM THE AVERAGE FREQUENCY IS WITHIN CERTAIN LIMITS PRESCRIBED BY THE ANALYST, AND FILTERS AN ARBITRARY SEQUENCE OF EVENTS WITH A NUMBER OF ELEMENTS SATISFYING A PRESCRIBED ELEMENT-OCCURRENCE FREQUENCY CONFIGURATION DETERMINED BY THE ANALYST. ====================================================================== -- L 189 -- READS A BASE SEQUENCE OF PAST STAR EVENTS, SELECTS A DESIRED BACK-UP RANGE OF EVENTS, [# k1, # k2], CLASSIFIES ALL ELEMENTS BY THE NUMBER OF OCCURRENCES OVER THE BACK-UP RANGE OF EVENTS, AND CLASSIFIES THE LAST k1 EVENTS OF THE BASE SEQUENCE BY THE NUMBER OF ELEMENTS EITHER OCCURRING EXACTLY ONCE, MORE THAN ONCE, OR NOT OCCURRING OVER THE PRECEDING RANGE OF k2 - k1 EVENTS. A SEQUENCE OF OCCURRENCE CARDINALITIES IS GENERATED FOR STATISTICAL ANALYSIS, E.G., IN L-176. STAR EVENTS ARE FILTERED WHICH SATISFY A PRESCRIBED ELEMENT-OCCURRENCE FREQUENCY CONFIGURATION DETERMINED BY THE ANALYST. ====================================================================== -- L 190 -- DETERMINES AND PRINTS : 1) A MATRIX INDICATING, FOR EACH EVENT IN A SEQUENCE, THE NUMBER PAIRS OF ELEMENTS WHICH HAVE OCCURRED CONCURRENTLY IN A PRECEDING EVENT, AS WELL AS, THE % OF EVENTS IN WHICH A SET OF SUCH PAIRS OF ELEMENTS OCCURS AND THE AVERAGE # PAIRS PER EVENT 2) A MATRIX OF LONGSHOT AND REPEAT ELEMENTS FOR A SEQUENCE OF EVENTS 3) A FREQUENCY MATRIX FOR REPEATED ELEMENTS AND LONGSHOTS FOR A SEQUENCE OF EVENTS 4) A FREQUENCY TABLE OF OCCURRENCES FOR NUMBERS vs. # SKIPS SINCE THE LAST OCCURRENCE FOR A FINAL OR GIVEN EVENT REQUESTED 5) A SKIP-AND-OCCURRENCE MATRIX , INDICATING THE RELATIVE NUMBER OF EVENTS IN WHICH EACH ELEMENT HAS SKIPPED OR OCCURRED ON A GIVEN DATE 6) FILTERS A SEQUENCE OF TEST EVENTS, BASED UPON A PRESCRIBED SEQUENCE OF EVENT TYPES (# LONGSHOT ELEMENTS PLUS # REPEAT ELEMENTS), CHOSEN BY THE ANALYST (FOR UP TO 50 BASE EVENTS AND 100 TEST EVENTS PER RUN.) ====================================================================== -- L 191 -- * * PROBABILITY GENERATOR I FOR SUBSETS OF BASE SETS * * DETERMINES THE PROBABILITY THAT k STAR ELEMENTS WILL APPEAR AMONG j CHOSEN ELEMENTS OF A DESIRED SEQUENCE OF FIXED WHEELS DETERMINED FROM A TOTAL FIELD OF L0 DESIRED ELEMENTS WITH, e.g., j = 12 ; k = 6 ; and, L0 = 51. THE ANALYST IS PROMTED AT THE TERMINAL FOR DESIRED INPUT PARAMETER VALUES. ====================================================================== -- L 192 -- * * PROBABILITY GENERATOR II FOR SUBSETS OF BASE SETS * * DETERMINES THE PROBABILITY THAT k STAR ELEMENTS WILL APPEAR AMONG j CHOSEN ELEMENTS OF A DESIRED SEQUENCE OF FIXED WHEELS DETERMINED FROM A TOTAL FIELD OF L0 DESIRED ELEMENTS WITH, e.g., j = 12 ; k = 6 ; and, L0 = 51. INPUT PARAMETER VALUES ARE PROVIDED BY THE ANALYST IN THE FILE STAT192.INP. GENERATES A MATRIX OF PROBABILITIES THAT k ELEMENTS WILL APPEAR IN A WHEELED SET OF SIZE j FOR A SEQUENCE OF SPECIFIED EVENT-TYPES. ====================================================================== -- L 193 -- READS A SEQUENCE OF FAVORABLE EVENTS ON THE ELEMENTS ( 1 , ... , L0 ) AND PRINTS THE ELEMENTS OF EACH OF j COLUMNS ( j = 1 , ... , K0 ), AS j SEPARATE BLOCKS FOR STAT176.INP, BACKING-UP AND INCLUDING A DESIRED NUMBER, Q0, OF EVENTS (WITH, e.g., L0 = 51, K0 = 6 , AND Q0 = 10 ). THE ROUTINE ALSO PERFORMS A COLUMN-WISE SORT OF EACH OF THE K0 SEPARATE COLUMNS AND PRINTS, AS BEFORE. MOREOVER, THE MEAN ELEMENT IN EACH OF THE K0 COLUMNS OVER THE LAST IBACK EVENTS, AS WELL AS, A SEQUENCE OF M0 DESIRED K0 x 3 ELEMENT BLOCKS ARE DETERMINED FOR ANALYSIS IN STAT361.INP. THE ROUTINE THEN DETERMINES ELEMENTS IN COMMON BETWEEN THE SUCCESSOR OF A DESIRED STAR EVENT AND THE SET OF ELEMENTS GENERATED FROM MEANS AND TRANSLATIONS. CF. ALSO STAT1305. ====================================================================== -- L 194 -- DETERMINES AND PRINTS THE DIFFERENCES BETWEEN THE K0 ELEMENTS WHICH ARE THE MEANS OF COLUMNS ( 1 , ... , K0 ) , RESPECTIVELY, OF A SEQUENCE OF IMAX PAST STAR EVENTS AND THE K0 ELEMENTS OF THE I-th EVENT AS I RANGES OVER ( 1, ... , IMAX ), AS WELL AS, AVERAGES OF THE COMPUTED DIFFERENCES IN SUCH PAIRS OF EVENTS, ====================================================================== -- L 195 -- READS A SEQUENCE OF PAST STAR EVENTS, COMPUTES A SEQUENCE OF K0 MEAN ELEMENTS FROM THE K0 COLUMNS, AND ADDS TO EACH SUCCESSIVE ELEMENT A DESIRED SET OF ( + or - ) RANDOM INTEGER INCREMENTS, WHICH ARE READ FROM A SEQUENCE OF BASE SETS SUPPLIED BY THE ANALYST, (OR GENERATED FROM INPUT FILE STAT194.OT9), THUS GENERATING A NEW SEQUENCE OF PROJECTED EVENTS. ALSO GENERATES, FROM A BASE SET OF EVENTS, A FILE OF K0 GROUPS OF ELEMENTS, EACH GROUP CONSISTING OF ELEMENTS FROM COLUMN j ( WHERE j = 1, 2, ... , K0 ). ====================================================================== -- L 196 -- DETERMINES THE FREQUENCIES OF ELEMENTS FROM A SEQUENCE OF POSITIVE AND NEGATIVE NUMBERS, THE SUM OF FREQUENCIES AND THE AVERAGE FREQUENCY OF ELEMENTS, SORTS THE FREQUENCIES, AND DETERMINES THE TOP t MOST FREQUENT ELEMENTS AND DETERMINES SEQUENCES OF HIGHLY PROBABLE ELEMENTS, BASED UPON ARBITRARILY ASSIGNED RADIAL DISTANCES, d1 AND d2, FROM THE AVERAGE FREQUENCY. ====================================================================== -- L 197 -- DETERMINES THE FREQUENCIES OF ELEMENTS FROM A SEQUENCE OF POSITIVE AND NEGATIVE NUMBERS, THE SUM OF FREQUENCIES AND THE AVERAGE FREQUENCY OF ELEMENTS, SORTS THE FREQUENCIES, AND DETERMINES THE TOP t MOST FREQUENT ELEMENTS AND DETERMINES SEQUENCES OF HIGHLY PROBABLE ELEMENTS, BASED UPON VECTORS OF PRESCRIBED DISCRETE DISTANCES FROM THE AVERAGE FREQUENCY. ====================================================================== -- L 198 -- READS A SEQUENCE OF K0 BASE SETS OF VARIABLE SIZES N1,N2, ... , NK0 AND GENERATES A SEQUENCE OF EVENTS CONSISTING OF K0 ELEMENTS, WITH A DISTINCT REPRESENTATIVE FROM EACH OF THE K0 BASE SETS WITH, E.G., K0 = 5. K0 CAN RANGE BETWEEN 2 AND 6. THE MAXIMUM BASE SET SIZES ARE SUCH THAT N1*N2*N3*...*NK0 < 6400/K0. ====================================================================== -- L 199 -- READS A SEQUENCE OF STAR EVENTS ON THE ELEMENTS ( 1 , ... , k ), 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, THE DIFFERENCES BETWEEN UNITs DIGITS AND THE DIFFERENCES BETWEEN CORRESPONDING TENs DIGITS. A MATRIX OF VALUES IS PRINTED, REFLECTING THE INCREMENTS BETWEEN CORRESPONDING DIGITS THROUGHOUT THE SEQUENCE. ======================================================================