= = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = COMP-U-STAT = = = = = = = = STATISTICAL PATTERN GENERATOR AND MATHEMATICAL TREND ANALYZER = = = = = = = = (c) Copyright 2017 by James Ervin Glover, Ph.D. = = = = All Rights Reserved = = = = = = = = = = = = Part I(b) ( STAT 71 ----> STAT 140 ) = = = = = = = = = = = = 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 71 ---> 140 * * * ====================================================================== -- L 71 -- COMPUTES AND PRINTS, FOR EACH EVENT IN A 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 < n WITH , e.g., n = 49. ====================================================================== -- L 72 -- COMPUTES AND PRINTS, FOR A SEQUENCE OF EVENTS, A MATRIX OF FREQUENCIES OF PAIRS OF ELEMENTS DIFFERING BY k UNITS, WHERE k IS AN INTEGER, 0 < k < n WITH, e.g., n = 49. ====================================================================== -- L 73 -- DETERMINES AND PRINTS A FILE OF FREQUENCIES OF INTERSECTIONS BETWEEN A SEQUENCE OF STAR EVENTS AND ELEMENTS OF EACH TYPE ( A ,..., F ), WHERE: TYPE A <--> ELEMENTS OCCURRING WITHIN THE LAST (1-5) EVENTS, TYPE B <--> ELEMENTS OCCURRING WITHIN THE LAST (6-10) EVENTS, TYPE C <--> ELEMENTS OCCURRING WITHIN THE LAST (11-15) EVENTS, TYPE D <--> ELEMENTS OCCURRING WITHIN THE LAST (16-20) EVENTS, TYPE E <--> ELEMENTS OCCURRING WITHIN THE LAST (21-25) EVENTS, TYPE F <--> ELEMENTS OCCURRING WITHIN THE LAST (26-200) EVENTS ====================================================================== -- L 74 -- DETERMINES AND PRINTS A MATRIX OF FREQUENCIES OF ELEMENTS OF TYPES ( A ,..., F ) FOR A SEQUENCE OF STAR EVENTS, WHERE : TYPE A <--> ELEMENTS OCCURRING WITHIN THE LAST (1-5) EVENTS, TYPE B <--> ELEMENTS OCCURRING WITHIN THE LAST (6-10) EVENTS, TYPE C <--> ELEMENTS OCCURRING WITHIN THE LAST (11-15) EVENTS TYPE D <--> ELEMENTS OCCURRING WITHIN THE LAST (16-20) EVENTS TYPE E <--> ELEMENTS OCCURRING WITHIN THE LAST (21-25) EVENTS TYPE F <--> ELEMENTS OCCURRING WITHIN THE LAST (26-200) EVENT ====================================================================== -- L 75 -- DETERMINES AND PRINTS A MATRIX OF FREQUENCIES OF ELEMENTS OF TYPES ( G ,..., L ) FOR A SEQUENCE OF STAR EVENTS, WHERE : TYPE G <--> ELEMENTS OCCURRING WITHIN THE LAST (1 - 2) EVENTS TYPE H <--> ELEMENTS OCCURRING WITHIN THE LAST (3 - 4) EVENTS TYPE I <--> ELEMENTS OCCURRING WITHIN THE LAST (5 - 6) EVENTS TYPE J <--> ELEMENTS OCCURRING WITHIN THE LAST (7 - 8) EVENTS TYPE K <--> ELEMENTS OCCURRING WITHIN THE LAST (9 -10) EVENTS TYPE L <--> ELEMENTS OCCURRING WITHIN THE LAST (11-200) EVENT ====================================================================== -- L 76 -- DETERMINES THE MINIMUM AND MAXIMUM ELEMENT IN EACH OF j COLUMNS FOR A FIXED NUMBER OF EVENTS, EACH LISTED IN LEXICOGRAPHIC ORDER AND DETERMINES THE ARITHMETIC MEAN OF THE LAST k STAR ELEMENTS, BACKING UP FROM EACH STAR ELEMENT (WHERE ELEMENTS ARE LISTED IN LEXICOGRAPHIC ORDER), CALCULATES THE RANGE OF ELEMENTS LIKELY TO BE GENERATED IN THE NEXT EVENT FROM THE DETERMINED ARITHMETIC MEANS (BASED UPON REGRESSION ANALYSIS), PRINTS THE RESULTS AS A BLOCK OF HIGH PROBABILITY ELEMENTS, DETERMINES AND PRINTS A MATRIX OF MEAN DEVIATIONS (BASED UPON AND BACKING UP A DESIRED NUMBER OF EVENTS FROM, THE STAR EVENT), AND FILTERS A WHEEL OF EVENTS BASED UPON THE RANGES OF HIGHLY PROBABLE ELEMENTS (DETERMINED FROM THE MEAN DEVIATIONS OF CHOSEN ELEMENTS IN THE j COLUMNS, BACKING UP FROM THE STAR EVENT. FILTERING IS BASED UPON A MINIMUM OF NMAX POSITIONS IN EACH EVENT ( WHERE NMAX = 1, 2, 3, ... , j-1 ) SATISFYING INTERVAL CONSTRAINTS AND UPON THE MAX AND MIN NUMBER IN EACH OF THE j COLUMNS WITH , e.g., j = 7. ====================================================================== -- L 77 -- DETERMINES THE MINIMUM AND MAXIMUM ELEMENT IN EACH OF j COLUMNS FOR A FIXED NUMBER OF EVENTS, EACH LISTED IN LEXICOGRAPHIC ORDER AND DETERMINES THE ARITHMETIC MEAN OF THE LAST k STAR ELEMENTS, BACKING UP FROM EACH STAR ELEMENT (WHERE ELEMENTS ARE LISTED IN LEXICOGRAPHIC ORDER), CALCULATES THE RANGE OF ELEMENTS LIKELY TO BE GENERATED IN THE NEXT EVENT FROM THE DETERMINED ARITHMETIC MEANS (BASED UPON REGRESSION ANALYSIS), PRINTS THE RESULTS AS A BLOCK OF HIGH PROBABILITY ELEMENTS, DETERMINES AND PRINTS A MATRIX OF MEAN DEVIATIONS (BASED UPON AND BACKING UP A DESIRED NUMBER OF EVENTS FROM, THE STAR EVENT), AND FILTERS A WHEEL OF EVENTS BASED UPON THE RANGES OF HIGHLY PROBABLE ELEMENTS (DETERMINED FROM THE MEAN DEVIATIONS OF CHOSEN ELEMENTS IN THE j COLUMNS, BACKING UP FROM THE STAR EVENT. FILTERING IS BASED UPON A MINIMUM OF NMAX POSITIONS IN EACH EVENT (WHERE NMAX = 1, 2, 3, ... , j-1 ) SATISFYING INTERVAL CONSTRAINTS AND UPON THE MAX AND MIN ELEMENT IN EACH OF THE j COLUMNS, BACKING UP A DESIRED NUMBER OF EVENTS FROM THE FINAL EVENT WITH , e.g., j = 7. ====================================================================== -- L 78 -- DETERMINES THE MINIMUM AND MAXIMUM ELEMENT IN EACH OF j COLUMNS FOR A FIXED NUMBER OF EVENTS, EACH LISTED IN LEXICOGRAPHIC ORDER AND DETERMINES THE ARITHMETIC MEAN OF THE LAST k STAR ELEMENTS, BACKING UP FROM EACH STAR ELEMENT (WHERE ELEMENTS ARE LISTED IN LEXICOGRAPHIC ORDER), CALCULATES THE RANGE OF ELEMENTS LIKELY TO BE GENERATED IN THE NEXT EVENT FROM THE DETERMINED ARITHMETIC MEANS (BASED UPON REGRESSION ANALYSIS), PRINTS THE RESULTS AS A BLOCK OF HIGH PROBABILITY ELEMENTS, DETERMINES AND PRINTS A MATRIX OF MEAN DEVIATIONS (BASED UPON AND BACKING UP A DESIRED NUMBER OF EVENTS FROM, THE STAR EVENT), AND FILTERS A WHEEL OF EVENTS BASED UPON THE RANGES OF HIGHLY PROBABLE ELEMENTS (DETERMINED FROM THE MEAN DEVIATIONS OF CHOSEN ELEMENTS IN THE j COLUMNS, BACKING UP FROM THE STAR EVENT. FILTERING IS BASED UPON A MINIMUM OF NMAX POSITIONS IN EACH EVENT (WHERE NMAX = 1, 2, 3, ... , j-1 ) SATISFYING INTERVAL CONSTRAINTS AND UPON THE MAX AND MIN ELEMENT IN EACH OF THE j COLUMNS, BACKING UP A DESIRED NUMBER OF EVENTS FROM THE FINAL EVENT AND USING THE SUMS OF MEAN DEVIATIONS WITH , e.g., j = 7. ====================================================================== -- L 79 -- APPENDS THE CURRENT STAR EVENT AND DATE TO A SEQUENCE OF PAST STAR EVENTS AND PRINTS AN UPDATED SEQUENCE OF STAR EVENTS, WITH THE ELEMENTS OF EACH EVENT LISTED IN LEXICOGRAPHIC ORDER AND WITH CORRESPONDING DATES OF OCCURRENCE . ====================================================================== -- L 80 -- DETERMINES THE MINIMUM AND MAXIMUM ELEMENTS IN EACH OF j COLUMNS FOR A FIXED SEQUENCE OF EVENTS, EACH LISTED IN LEXICOGRAPHIC ORDER WITH , e.g., j = 7. ====================================================================== -- L 81 -- INTERSECTS A SET OF j-ELEMENT BLOCKS WITH m (j-1)-ELEMENT BLOCKS AND FILTERS ONLY THOSE EVENTS HAVING, EXACTLY, k COMMON ELEMENTS FOR SOME FIXED INTEGER k , WHERE m IS A POSITIVE INTEGER AND , e.g., j = 7. ====================================================================== -- L 82 -- INTERSECTS A SET OF j-ELEMENT BLOCKS WITH m (j-1)-ELEMENT BLOCKS AND FILTERS ONLY THOSE EVENTS HAVING AT LEAST k COMMON ELEMENTS, FOR SOME FIXED INTEGER k , WHERE m IS A POSITIVE INTEGER AND, e.g., j = 7. ====================================================================== -- L 83 -- INTERSECTS A SET OF j-ELEMENT BLOCKS WITH m (j-1)-ELEMENT BLOCKS AND FILTERS ONLY THOSE EVENTS HAVING AT MOST k COMMON ELEMENTS, FOR SOME FIXED INTEGER k , WHERE m IS A POSITIVE INTEGER AND, e.g., j = 7. ====================================================================== -- L 84 -- INTERSECTS A SET OF j-ELEMENT BLOCKS WITH m (j-1)-ELEMENT BLOCKS AND FILTERS ONLY THOSE EVENTS HAVING k COMMON ELEMENTS, FOR SOME INTEGER k VARYING IN THE RANGE (Xo,Yo) , INCLUSIVE OF ENDPOINTS, FOR SOME ARBITRARY POSITIVE INTEGERS Xo AND Yo , WHERE m IS A POSITIVE INTEGER AND , e.g., j = 7. ====================================================================== -- L 85 -- DETERMINES THE FREQUENCIES OF ELEMENTS FROM A SEQUENCE OF 7-ELEMENT BLOCKS, THE SUM OF FREQUENCIES, THE AVERAGE FREQUENCY OVER k EVENTS, A MATRIX OF FREQUENCIES OF ELEMENTS, A SEQUENCE OF ELEMENTS WITH AVERAGE FREQUENCIES IN A PRE-DETERMINED RANGE AND THE ELEMENTS WHICH ARE IN THE INTERSECTION OF THIS SEQUENCE OF ELEMENTS WITH ELEMENTS OF THE STAR EVENT . ====================================================================== -- L 86 -- DETERMINES A SEQUENCE OF SETS OF ELEMENTS BOUNDED BY A DETERMINED RANGE OF AVERAGE FREQUENCIES OF OCCURRENCE, BACKING UP AN ARBITRARY NUMBER OF EVENTS IN AN ARBITRARY INCLUSIVE RANGE, AND PRINTING THE INPUT FILES FOR INTERSECTION ANALYSIS BY L87 . ====================================================================== -- L 87 -- DETERMINES A SEQUENCE OF ELEMENTS REPRESENTING THE INTERSECTIONS BETWEEN THE (i+1)-st EVENT AND THE i-th SEQUENCE OF ELEMENTS IN AN ARBITRARILY DETERMINED RANGE (FROM L 86) AND PRINTS A MATRIX OF SUCH INTERSECTIONS VS. CORRESPONDING EVENTS, DATES, AND NUMBER OF EVENTS IN THE BACK-UP RANGE . ====================================================================== -- L 88 -- DETERMINES A SEQUENCE OF SETS OF ELEMENTS, OF WHICH EACH SET IS A SET OF FREQUENCIES OF OCCURRENCE OF ELEMENTS (1 ,..., n) , BACKING UP AN ARBITRARY NUMBER OF EVENTS IN AN ARBITRARY INCLUSIVE RANGE AND PRINTING THE INPUT FILES FOR INTERSECTION ANALYSIS BY L 89 WITH, e.g., n = 49. ====================================================================== -- L 89 -- DETERMINES A SEQUENCE OF ELEMENTS REPRESENTING THE INTERSECTIONS BETWEEN THE (i+1)-st EVENT AND THE i-th SEQUENCE OF ELEMENTS (1 ,..., n), WHOSE FREQUENCIES WERE DETERMINED (IN L88) FROM AN ARBITRARILY DETERMINED RANGE OF EVENTS, AND PRINTS A MATRIX OF SUCH INTERSECTIONS VS. CORRESPONDING EVENTS, DATES, AND NUMBER OF EVENTS IN THE BACK-UP RANGE WITH , e.g., n = 49. ====================================================================== -- L 90 -- INTERSECTS AN INITIAL STAR EVENT WITH A FIXED SEQUENCE OF EVENTS AND DETERMINES THE ELEMENTS IN COMMON WITH EACH EVENT, AS WELL AS, CORRESPONDING FREQUENCIES OF OCCURRENCE . ====================================================================== -- L 91 -- DETERMINES AND PRINTS A MATRIX FOR THE NUMBER OF SUBSETS OF SIZE k OF AN ARBITRARY SUPERSET OF SIZE n , WHERE n < 54 . ====================================================================== -- L 92 -- DETERMINES AND PRINTS A TABLE OF FACTORIALS FOR A SEQUENCE OF INTEGERS FROM 1 TO SOME ARBITRARY INTEGER , n , WHERE n < 54 . ====================================================================== -- L 93 -- DETERMINES AND GENERATES A MATRIX OF FREQUENCIES OF ELEMENTS FROM A t-ELEMENT SET WHICH ARE CLASSIFIED AS EITHER EVEN, ODD, LOW ( LESS THAN t/2), OR HIGH (GREATER THAN t/2 - 1), FROM EACH k-ELEMENT EVENT IN A SEQUENCE OF PAST STAR EVENTS, AND DETERMINES THE RELATIVE PERCENTAGES AND RATIOS OF THE ABOVE CLASSIFICATIONS WITH, e.g., t = 49 AND k = 6. ====================================================================== -- L 94 -- COLUMN-SORTS A GIVEN ARRAY OF INTEGERS IN ASCENDING ORDER OF SIZE (LEXICOGRAPHIC ORDER) AND ARRANGES THE SEQUENCE OF EVENTS OF THE ARRAY IN LEXICOGRAPHIC ORDER. ====================================================================== -- L 95 -- DETERMINES THE FREQUENCIES OF ELEMENTS FROM A SEQUENCE OF 7-ELEMENT BLOCKS, THE SUM OF FREQUENCIES, THE AVERAGE FREQUENCY OVER k EVENTS, AND A BASE SET OF HIGH PROBABILITY DENSITY ELEMENTS FOR WHEELING BASED UPON THE FREQUENCIES OF OCCURRENCE OF RESPECTIVE ELEMENTS. ====================================================================== -- L 96 -- READS AND SORTS A SET OF 4-ELEMENT BLOCKS, AS FROM L48.OT2, AND PRINTS EACH BLOCK AS A SET OF SORTED QUADRUPLES OF ELEMENTS. ====================================================================== -- L 97 -- READS AND SORTS A SET OF 5-ELEMENT BLOCKS, AS FROM L49.OT2, AND PRINTS EACH BLOCK AS A SET OF SORTED QUINTUPLES OF ELEMENTS. ====================================================================== -- L 98 -- READS AND SORTS A SET OF 6-ELEMENT BLOCKS, AS FROM L50.OT2, AND PRINTS EACH BLOCK AS A SET OF SORTED SEXTUPLES OF ELEMENTS. ====================================================================== -- L 99 -- READS AND SORTS A SET OF 7-ELEMENT BLOCKS, AS FROM BASE.INP, AND PRINTS EACH BLOCK AS A SET OF SORTED SEPTUPLES OF ELEMENTS. ====================================================================== -- L 100 -- READS A SEQUENCE OF STAR EVENTS ON THE ELEMENTS ( 1 ,..., n ) AND GENERATES A CHART INDICATING THE # OF TIMES AN ELEMENT HAS OCCURRED DURING THE LAST (1 ,..., 5), (6 ,..., 10), (11 ,..., 20) AND (21 ,..., 30) EVENTS, AND GENERATES, FROM THE CHART, A SEQUENCE OF HIGH PROBABILITY ELEMENTS PROJECTED FOR THE NEXT EVENT WITH , e.g., n = 49. ====================================================================== -- L 101 -- READS A SEQUENCE OF k-ELEMENT TEST EVENTS, FROM WHICH IT DETERMINES AND GENERATES A MATRIX OF FREQUENCIES OF ELEMENTS, FROM A t-ELEMENT SET, WHICH ARE CLASSIFIED AS EITHER EVEN, ODD, LOW ( LESS THAN t/2), OR HIGH (GREATER THAN t/2 -1), AND FILTERS OUT ONLY THOSE EVENTS FOR WHICH THE NUMBER OF ELEMENTS WHICH ARE LOW AND ODD IS GREATER THAN OR EQUAL TO THE NUMBER OF ELEMENTS WHICH ARE LOW AND EVEN OR FOR WHICH THE NUMBER OF ELEMENTS THAT ARE HIGH AND ODD IS GREATER THAN OR EQUAL TO THE NUMBER OF ELEMENTS THAT ARE HIGH AND EVEN: # L&O >= # L&E or # H&O >= # H&E WITH , e.g., t = 49 and k = 6. ====================================================================== -- L 102 -- READS A SEQUENCE OF k-ELEMENT DESIRED TEST EVENTS, FROM WHICH IT DETERMINES AND GENERATES A MATRIX OF FREQUENCIES OF ELEMENTS, FROM A t-ELEMENT SET, WHICH ARE CLASSIFIED AS EITHER EVEN, ODD, LOW ( LESS THAN t/2), OR HIGH (GREATER THAN t/2 -1), AND FILTERS OUT ONLY THOSE EVENTS FOR WHICH THE NUMBER OF ELEMENTS WHICH ARE LOW AND ODD IS GREATER THAN OR EQUAL TO THE NUMBER OF ELEMENTS WHICH ARE LOW AND EVEN AND FOR WHICH THE NUMBER OF ELEMENTS THAT HIGH AND ODD IS GREATER THAN OR EQUAL TO THE NUMBER OF ELEMENTS THAT ARE HIGH AND EVEN: # L&O >= # L&E and # H&O >= # H&E, WITH , e.g., t = 49 and k = 6. ====================================================================== -- L 103 -- READS A SEQUENCE OF k-ELEMENT TEST EVENTS, FROM WHICH IT DETERMINES AND GENERATES A MATRIX OF FREQUENCIES OF ELEMENTS, FROM A t-ELEMENT SET, WHICH ARE CLASSIFIED AS EITHER EVEN, ODD, LOW (LESS THAN t/2), OR HIGH (GREATER THAN t/2 -1), AND FILTERS OUT ONLY THOSE EVENTS FOR WHICH THE NUMBER OF ODD ELEMENTS IS GREATER THAN OR EQUAL TO THE NUMBER OF EVEN ELEMENTS AND FOR WHICH THE NUMBER OF HIGH ELEMENTS IS GREATER THAN OR EQUAL TO THE NUMBER OF LOW ELEMENTS: # O >= # E and # H >= # L, WITH, e.g., t = 25 and k = 6 . ======================================================================= -- L 104 -- READS A SEQUENCE OF k-ELEMENT TEST EVENTS, FROM WHICH IT DETERMINES AND GENERATES A MATRIX OF FREQUENCIES OF ELEMENTS, FROM A t-ELEMENT SET, WHICH ARE CLASSIFIED AS EITHER EVEN, ODD, LOW (LESS THAN t/2), OR HIGH (GREATER THAN t/2 - 1), AND FILTERS ONLY THOSE EVENTS FOR WHICH THE NUMBER OF ODD ELEMENTS IS GREATER THAN OR EQUAL TO THE NUMBER OF EVEN ELEMENTS OR FOR WHICH THE NUMBER OF HIGH ELEMENTS IS GREATER THAN OR EQUAL TO THE NUMBER OF LOW ELEMENTS: # O >= # E or # H >= # L, WITH, e.g., t = 25 and k = 6 . ====================================================================== -- L 105 -- INTERSECTS A BLOCK OF t-ELEMENT EVENTS (STAR EVENTS) WITH A BLOCK OF M k-ELEMENT EVENTS (e.g., TEST EVENTS), WHERE M IS AN ARBITRARY POSITIVE INTEGER , AND DETERMINES CLASSES WITH INTERSECTIONS OF SIZES 0,1,2,3,4,5,6,7 , PRINTS A FREQUENCY MATRIX FOR INTERSECTIONS OF EVENT I (OF BASE SET) AND EVENT J (OF TEST SET), AND PRINTS A TABLE OF ALL PAIRS OF EVENTS INTERSECTING IN A DESIRED, SPECIFIED NUMBER OF ELEMENTS WITH, e.g., t = 7 AND k = 6. ====================================================================== -- L 106 -- READS A SEQUENCE OF EVENTS AND DETERMINES A SYMMETRIC "COMPANION MATRIX" OF FREQUENCIES OF PAIRS OF ELEMENTS (i.e., A MATRIX OF THE NUMBER OF TIMES EACH PAIR OF ELEMENTS OCCURS TOGETHER IN AN EVENT PER GIVEN SEQUENCE OF EVENTS) AND PRINTS TABLES OF PAIRS OF ELEMENTS OCCURRING A SPECIFIED NUMBER OF TIMES. THERE MAY EXIST UP TO 200 EVENTS IN THE INITIAL INPUT SEQUENCE. STAT106 IS DESIGNED FOR NON-NEGATIVE INTEGER ELEMENTS. FOR THE GENERIC INTEGER CASE, SEE STAT457. ====================================================================== -- L 107 -- DETERMINES THE NUMBER AND % OF EVENTS IN A SEQUENCE FOR WHICH THE MINIMUM AND MAXIMUM ELEMENTS LIE WITHIN A DESIRED INCLUSIVE INTEGRAL 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 108 -- DETERMINES THE NUMBER AND % OF EVENTS IN A SEQUENCE FOR WHICH THE MINIMUM AND MAXIMUM ELEMENTS LIE WITHIN A DESIRED, SPECIFIED INCLUSIVE RANGE, (Xo,Yo), FILTERS, AND PRINTS THOSE EVENTS FROM THE SEQUENCE. ====================================================================== -- L 109 -- DETERMINES THE NUMBER AND % OF EVENTS IN A SEQUENCE FOR WHICH EACH ELEMENT OF EACH EVENT LIES WITHIN A DESIRED, SPECIFIED, INCLUSIVE RANGE, DETERMINES 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. (ELEMENTS ARE LISTED IN LEXICOGRAPHIC ORDER). ===================================================================== -- L 110 -- DETERMINES THE NUMBER AND % OF EVENTS IN A SEQUENCE FOR WHICH EACH ELEMENT OF EACH EVENT LIES WITHIN A DESIRED, SPECIFIED, INCLUSIVE RANGE, FILTERS AND PRINTS THOSE EVENTS FROM THE SEQUENCE. (ELEMENTS OF EACH EVENT ARE LISTED IN LEXICOGRAPHIC ORDER). ===================================================================== -- L 111 -- DETERMINES % AND NUMBER OF EVENTS IN A SEQUENCE FOR WHICH THE MINIMUM AND MAXIMUM ELEMENTS LIE WITHIN A SPECIFIED SEQUENCE OF INCLUSIVE RANGES (Xi,Yi) , (i = 1 ,..., k), PRINTS THE SEQUENCE OF RANGES, AND FILTERS OUT THE OPTIMAL RANGE, (Xo,Yo), WHERE (Xo,Yo) IS THE RANGE IN WHICH THE MINIMUM AND MAXIMUM ELEMENTS OF THE NEXT EVENT ARE PREDICTED TO OCCUR WITH , e.g., k = 20. ====================================================================== -- L 112 -- DETERMINES % AND NUMBER OF EVENTS IN A SEQUENCE FOR WHICH THE MINIMUM AND MAXIMUM ELEMENTS LIE WITHIN A GENERATED SEQUENCE OF INCLUSIVE RANGES (Xi,Yi) , (i = 1 ,..., k), PRINTS THE SEQUENCE OF RANGES, AND FILTERS OUT SEQUENCES OF OPTIMAL RANGES, (Xo,Yo), WHERE EACH (Xo,Yo) IS A RANGE IN WHICH THE MINIMUM AND MAXIMUM ELEMENTS OF THE NEXT EVENT ARE PREDICTED TO OCCUR WITH, e.g., k = 30. ====================================================================== -- L 113 -- (HIGHLY PROBABLE ELEMENTS BASED UPON LEXICOGRAPHIC FREQUENCIES) DETERMINES THE FREQUENCIES OF ELEMENTS FROM A SEQUENCE OF j-ELEMENT EVENTS, THE SUM OF FREQUENCIES, THE AVERAGE FREQUENCY OVER k EVENTS, AND A CLASS OF SEQUENCES OF ELEMENTS, BASED UPON FREQUENCIES SORTED IN LEXICOGRAPHIC ORDER, BACKING UP A DESIRED NUMBER OF EVENTS FROM THE FINAL EVENT WITH , e.g. , j = 7 AND k = 49. ====================================================================== -- L 114 -- READS A SEQUENCE OF STAR EVENTS ON THE ELEMENTS ( 1 ,..., k ), DETERMINES THE MOST RECENT EVENT IN WHICH EACH PAIR OF ELEMENTS HAS OCCURRED TOGETHER , DETERMINES THE DISTANCES OF SUCH OCCURRENCES FROM THE FINAL EVENT, RANKS THE PAIRS OF ELEMENTS IN DESCENDING ORDER OF DISTANCES ( ANALYZING UP TO k = 49 ELEMENTS ) AND GENERATES A MATRIX OF SUCH PAIRS. ====================================================================== -- L 115 -- READS A SEQUENCE OF STAR EVENTS ON THE ELEMENTS ( 1 ,..., k ), DETERMINES THE MOST RECENT EVENT IN WHICH EACH TRIPLET OF ELEMENTS HAS OCCURRED TOGETHER , DETERMINES THE DISTANCES OF SUCH OCCURRENCES FROM THE FINAL EVENT, AND RANKS THE TRIPLETS IN DESCENDING ORDER OF DISTANCES ( ANALYZING UP TO k = 49 ELEMENTS ). ====================================================================== -- L 116 -- COMPARES A FIXED SEQUENCE OF EVENTS WITH A SEQUENCE OF PAST STAR EVENTS AND FILTERS ONLY THOSE EVENTS WHOSE INTERSECTIONS WITH EACH OF THE STAR EVENTS ARE BETWEEN ARBITRARILY CHOSEN CONSTANT BOUNDS (COMPARING A MAXIMUM OF 100 EVENTS PER SEQUENCE). ====================================================================== -- L 117 -- ( FILTERING EVENTS FROM A SEQUENCE OF K0-ELEMENT EVENTS BASED UPON FREQUENCIES OF INTERSECTIONS VS. PERMUTATIONS ) STAT117 COMPARES A SEQUENCE OF PERMUTATIONS WITH A SEQUENCE OF INPUT EVENTS AND FILTERS ONLY THOSE EVENTS WHOSE INTERSECTION FREQUENCIES WITH EACH PERMUTATION LIE BETWEEN ARBITRARILY CHOSEN CONSTANT BOUNDS. THE ROUTINE COMPARES A MAXIMUM OF 1000 INPUT EVENTS IN STAT117.INP VS. ANY DESIRED NUMBER OF INPUT PERMUTATIONS IN PERM.INP. CF. ALSO STAT138S FOR THE TEST EVENT VS. TEST EVENT VERSION OF STAT117. ====================================================================== -- L 118 -- 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", AND ANALYZING THE LAST k SPECIFIED EVENTS WITH , e.g., k = 50 . ====================================================================== -- L 119 -- READS AND SORTS A SEQUENCE OF FUNCTIONAL VALUES OF ELEMENTS (e.g., FREQUENCIES OR SOME OTHER DESIRED MEASURE ) AND PRINTS THE TOP t MOST FREQUENTLY OCCURRING FUNCIONAL VALUES, AS WELL AS THE BOTTOM t LEAST FREQUENTLY OCCURRING FUNCTIONAL VALUES, WHERE t IS ARBITRARILY CHOSEN, (with, e.g., t = 10). ====================================================================== -- L 120 -- GENERATES, FROM A SEQUENCE OF m t-ELEMENT EVENTS, A SET OF k t-ELEMENT BLOCKS OF EVENTS , WHERE THE BLOCKS ARE DETERMINED BY FIXED INCREMENTS OF SIZE j , THUS PRODUCING A HOMOGENEOUS SEQUENCE OF EVENTS FROM THE ORIGINAL SEQUENCE ( with, e.g., m = 100, t = 6, j = 5 and k = 20 ). APPLICATION: GENERATING BLOCKS OF EVENTS FOR GROUP PARTICIPANTS: ( where m = TOTAL # EVENTS, j = # PARTICIPANTS , and k = # EVENTS PER PARTICIPANT ). ====================================================================== -- L 121 -- READS A SEQUENCE OF STAR EVENTS ON THE ELEMENTS (1 ,..., k), DETERMINES THE FREQUENCIES OF OCCURRENCE OF EACH TRIPLET OF ' ELEMENTS, AND RANKS THE TRIPLETS IN DESCENDING ORDER OF OCCURRENCE, ACCORDING TO A DESIRED RANGE OF SPECIFIED VALUES (ANALYZING UP TO k = 49 ELEMENTS, OVER UP TO 50 EVENTS). ====================================================================== -- L 122 -- GENERATES A SEQUENCE OF WHEELED OR PERMUTED EVENTS FROM A FIXED WHEEL (WHOSE EVENTS ARE READ FROM A FIXED INPUT FILE PROVIDED BY THE USER). HOWEVER, THE USER IS PROMPTED AT THE TERMINAL SCREEN FOR ALL ELEMENTS OF EACH PERMUTATION IN THE DESIRED SEQUENCE FOR GENERATING THE PERMUTED WHEEL(S). ====================================================================== -- L 123 -- GENERATES A MATRIX OF FREQUENCIES OF UNITS, 10's, 20's, 30's, 40's, 50's, 60's, 70's, and 80's PER EVENT OVER THE LAST k SPECIFIED EVENTS WITH, e.g., k = 40 , i.e., DETERMINES THE NUMBER OF ELEMENTS IN EACH EVENT WHICH LIE IN EACH OF THE FOLLOWING INTERVALS: (1,9), (10,19), (20,29), (30,39), (40,49), (50,59), (60,69), (70,79), and (80,89), INCLUSIVE OF END-POINTS. ====================================================================== -- L 124 -- PROGRAM 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 125 -- PROGRAM 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 IS GREATER THAN OR EQUAL TO 4, 5, 6, OR 7. ====================================================================== -- L 126 -- DETERMINES THE NUMBER AND % OF EVENTS IN A SEQUENCE OF PAST STAR EVENTS FOR WHICH AT LEAST k ELEMENTS OF EACH EVENT LIE WITHIN A SPECIFIED INCLUSIVE RANGE, (Xo,Yo), AND FILTERS THOSE EVENTS FROM THE SEQUENCE WITH, e.g., k = 5 . ====================================================================== -- L 127 -- DETERMINES THE NUMBER AND % OF EVENTS IN A SEQUENCE OF PAST STAR EVENTS FOR WHICH EXACTLY k ELEMENTS OF EACH EVENT LIE WITHIN A SPECIFIED INCLUSIVE RANGE, (Xo,Yo), AND FILTERS THOSE EVENTS FROM THE SEQUENCE WITH, e.g., k = 4 . ====================================================================== -- L 128 -- DETERMINES THE NUMBER AND % OF EVENTS IN A SEQUENCE OF PAST STAR EVENTS FOR WHICH AT LEAST k ELEMENTS OF EACH EVENT LIE WITHIN EACH ONE OF A SEQUENCE OF BASE SETS OF ELEMENTS, AND FILTERS THOSE EVENTS FROM THE SEQUENCE WITH, e.g., k = 4. ====================================================================== -- L 129 -- DETERMINES THE NUMBER AND % OF EVENTS IN A SEQUENCE OF PAST STAR EVENTS FOR WHICH EXACTLY k ELEMENTS OF EACH EVENT LIE WITHIN EACH ONE OF A SEQUENCE OF BASE SETS OF ELEMENTS, AND FILTERS THOSE EVENTS FROM THE SEQUENCE WITH, e.g., k = 4. ====================================================================== -- L 130 -- DETERMINES THE NUMBER AND % OF EVENTS IN A TEST SEQUENCE FOR WHICH AT LEAST k ELEMENTS LIE WITHIN A SPECIFIED, INCLUSIVE RANGE, (Xo,Yo), AND FILTERS THOSE EVENTS FROM THE SEQUENCE WITH , e.g. , k = 3 . ====================================================================== -- L 131 -- DETERMINES THE NUMBER AND % OF EVENTS IN A TEST SEQUENCE FOR WHICH EXACTLY k ELEMENTS LIE WITHIN A SPECIFIED, INCLUSIVE RANGE, (Xo,Yo), AND FILTERS THOSE EVENTS FROM THE SEQUENCE WITH , e.g. , k = 5 . ====================================================================== -- L 132 -- DETERMINES THE NUMBER AND % OF EVENTS IN A TEST SEQUENCE FOR WHICH AT LEAST k ELEMENTS LIE WITHIN EACH ONE OF A SEQUENCE OF BASE SETS, AND FILTERS THOSE EVENTS FROM THE SEQUENCE WITH, e.g. , k = 3 . ====================================================================== -- L 133 -- DETERMINES THE NUMBER AND % OF EVENTS IN A TEST SEQUENCE FOR WHICH EXACTLY k ELEMENTS LIE WITHIN EACH ONE OF A SEQUENCE OF BASE SETS, AND FILTERS THOSE EVENTS FROM THE SEQUENCE WITH, e.g. , k = 3 . ====================================================================== -- L 134 -- DETERMINES THE NUMBER AND % OF EVENTS IN A SEQUENCE OF PAST STAR EVENTS FOR WHICH k1 TO k2 ( WHERE 0 < k1 < k2 < 8 ) ELEMENTS OF EACH EVENT LIE WITHIN A SPECIFIED INCLUSIVE RANGE , (Xo,Yo) , AND FILTERS THOSE EVENTS FROM THE SEQUENCE WITH , e.g., k1 = 4 , k2 = 6 , Xo = 10 and Yo = 46. ====================================================================== -- L 135 -- DETERMINES THE NUMBER AND % OF EVENTS IN A SEQUENCE OF PAST STAR EVENTS FOR WHICH k1 TO k2 ( WHERE 0 < k1 < k2 < 8 ) ELEMENTS OF EACH EVENT LIE WITHIN EACH ONE OF A SEQUENCE OF BASE SETS OF ELEMENTS , AND FILTERS THOSE EVENTS FROM THE SEQUENCE WITH , e.g., k1 = 3 , k2 = 6 , Xo = 12 and Yo = 49. ====================================================================== -- L 136 -- DETERMINES THE NUMBER AND % OF EVENTS IN A TEST SEQUENCE FOR WHICH j1 TO j2 ( WHERE 0 < j1 < j2 < 7 ) ELEMENTS LIE WITHIN A SPECIFIED, INCLUSIVE RANGE , (Xo,Yo) , AND FILTERS THOSE EVENTS FROM THE SEQUENCE WITH , e.g. , j1 = 4, j2 = 5, Xo = 15 and Yo = 42. ====================================================================== -- L 137 -- DETERMINES THE NUMBER AND % OF EVENTS IN A TEST SEQUENCE FOR WHICH j1 TO j2 ( WHERE 0 < j1 < j2 < 7 ) ELEMENTS LIE WITHIN A SPECIFIED SET OF ELEMENTS IN EACH ONE OF A SEQUENCE OF BASE SETS, AND FILTERS THOSE EVENTS FROM THE TEST SEQUENCE WITH, e.g. , j1 = 4 , j2 = 5 , Xo = 15 and Yo = 42. ====================================================================== -- L 138 -- 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 139 -- DETERMINES THE NUMBER AND % OF EVENTS IN A SEQUENCE OF PAST STAR EVENTS FOR WHICH EACH OF THE K0 ELEMENTS OF EACH EVENT LIE WITHIN A SEQUENCE OF SPECIFIED, INCLUSIVE RANGES, WHERE THE ELEMENT n(j) LIES IN THE INCLUSIVE INTERVAL (Xj,Yj) FOR EACH j = 1, .... , K0 WITH , e.g., K0 = 6. ====================================================================== -- L 140 -- DETERMINES THE NUMBER AND % OF EVENTS IN A TEST SEQUENCE FOR WHICH EACH OF THE K0 ELEMENTS OF EACH EVENT LIE WITHIN A SEQUENCE OF SPECIFIED INCLUSIVE RANGES , WHERE THE ELEMENT n(j) LIES IN THE INCLUSIVE INTERVAL (Xj,Yj) FOR EACH j = 1, .... , K0 WITH , e.g. , K0 = 6. THE EVENTS ARE FILTERED FOR FURTHER ANALYSIS OR USE. ======================================================================