Class information for:
Level 2: STIRLING NUMBERS//BERNOULLI POLYNOMIALS//GENERATING FUNCTION

Basic class information
Bar chart of Publication_year

Last years might be incomplete

Hierarchy of classes
The table includes all classes above and classes immediately below the current class.


Cluster id Level Cluster label #P
14 4 MATHEMATICS//MATHEMATICS, APPLIED//MATH 912822
434 3       JOURNAL OF APPROXIMATION THEORY//MATHEMATICS//ORTHOGONAL POLYNOMIALS 28449
1756 2             STIRLING NUMBERS//BERNOULLI POLYNOMIALS//GENERATING FUNCTION 6787
7868 1                   PATTERN AVOIDANCE//MAJOR INDEX//RESTRICTED PERMUTATION 1344
9138 1                   GEN EDUC MATH//BERNOULLI POLYNOMIALS//EULER POLYNOMIALS 1214
10184 1                   CONTRACTION METHOD//RANDOM TREES//BINARY SEARCH TREE 1115
12655 1                   RIORDAN ARRAYS//RIORDAN GROUP//PASCAL MATRIX 920
20679 1                   STIRLING NUMBERS//R STIRLING NUMBERS//BELL NUMBERS 474
20719 1                   SYMBOLIC SUMMATION//SYMBOL COMPUTAT//BOROS MOLL POLYNOMIALS 472
21059 1                   RANDOM MAPPINGS//CYCLE WEIGHTS//NATURAL DIVISOR 458
22391 1                   ENUMERATING FUNCTION//LAGRANGIAN INVERSION//ROOTED MAP 406
25262 1                   WITT BURNSIDE RING//NECKLACE RING//CYCLOTOMIC IDENTITY 310
37905 1                   Q BINOMIAL DISTRIBUTION//EULER DISTRIBUTION//HEINE DISTRIBUTION 74

Terms with highest relevance score


rank Category termType chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 STIRLING NUMBERS authKW 303925 2% 50% 130
2 BERNOULLI POLYNOMIALS authKW 275837 2% 44% 134
3 GENERATING FUNCTION authKW 267321 4% 20% 285
4 GEN EDUC MATH address 264711 1% 63% 90
5 EULER POLYNOMIALS authKW 249634 1% 66% 82
6 UMBRAL CALCULUS authKW 245502 1% 73% 72
7 ELECTRONIC JOURNAL OF COMBINATORICS journal 207645 5% 13% 341
8 RIORDAN ARRAYS authKW 199004 1% 88% 49
9 PATTERN AVOIDANCE authKW 167430 1% 57% 63
10 CATALAN NUMBERS authKW 163586 1% 38% 92

Web of Science journal categories


chi_square_rank Category chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 Mathematics 137133 61% 1% 4150
2 Mathematics, Applied 65385 39% 1% 2660
3 Statistics & Probability 9631 10% 0% 653
4 Computer Science, Theory & Methods 8908 10% 0% 712
5 Computer Science, Software Engineering 3241 5% 0% 373
6 Physics, Mathematical 491 3% 0% 209
7 Computer Science, Information Systems 245 2% 0% 150
8 Logic 235 0% 0% 31
9 Computer Science, Hardware & Architecture 13 1% 0% 38
10 Mathematics, Interdisciplinary Applications 1 1% 0% 41

Address terms


chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 GEN EDUC MATH 264711 1% 63% 90
2 JOHN KNOPFMACHER PLICABLE ANAL NUMBER THE 103556 1% 45% 50
3 COMBINATOR 99241 2% 17% 126
4 HANRIMWON 74268 0% 100% 16
5 LPMC TJKLC 74193 1% 21% 78
6 DISKRETE MATH GEOMETRIE 70025 1% 28% 53
7 MATH 60700 36% 1% 2430
8 ALGORITHMS PROJECT 49486 0% 44% 24
9 SYMBOL COMPUTAT 49454 1% 27% 40
10 WIRELESS COMMUN ENGN 32731 0% 22% 32

Journals


chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 ELECTRONIC JOURNAL OF COMBINATORICS 207645 5% 13% 341
2 ADVANCES IN APPLIED MATHEMATICS 162985 3% 15% 228
3 JOURNAL OF COMBINATORIAL THEORY SERIES A 139333 5% 10% 317
4 DISCRETE MATHEMATICS 120198 8% 5% 556
5 EUROPEAN JOURNAL OF COMBINATORICS 85497 4% 8% 241
6 FIBONACCI QUARTERLY 83659 2% 11% 159
7 RANDOM STRUCTURES & ALGORITHMS 78585 2% 12% 143
8 ANNALS OF COMBINATORICS 66653 1% 18% 81
9 JOURNAL OF COMPUTATIONAL ANALYSIS AND APPLICATIONS 63575 2% 10% 143
10 DISCRETE MATHEMATICS AND THEORETICAL COMPUTER SCIENCE 30089 1% 12% 53

Author Key Words


chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass LCSH search Wikipedia search
1 STIRLING NUMBERS 303925 2% 50% 130 Search STIRLING+NUMBERS Search STIRLING+NUMBERS
2 BERNOULLI POLYNOMIALS 275837 2% 44% 134 Search BERNOULLI+POLYNOMIALS Search BERNOULLI+POLYNOMIALS
3 GENERATING FUNCTION 267321 4% 20% 285 Search GENERATING+FUNCTION Search GENERATING+FUNCTION
4 EULER POLYNOMIALS 249634 1% 66% 82 Search EULER+POLYNOMIALS Search EULER+POLYNOMIALS
5 UMBRAL CALCULUS 245502 1% 73% 72 Search UMBRAL+CALCULUS Search UMBRAL+CALCULUS
6 RIORDAN ARRAYS 199004 1% 88% 49 Search RIORDAN+ARRAYS Search RIORDAN+ARRAYS
7 PATTERN AVOIDANCE 167430 1% 57% 63 Search PATTERN+AVOIDANCE Search PATTERN+AVOIDANCE
8 CATALAN NUMBERS 163586 1% 38% 92 Search CATALAN+NUMBERS Search CATALAN+NUMBERS
9 BERNOULLI NUMBERS 157739 2% 33% 104 Search BERNOULLI+NUMBERS Search BERNOULLI+NUMBERS
10 DYCK PATH 143578 1% 54% 57 Search DYCK+PATH Search DYCK+PATH

Core articles
The table includes core articles in the class. The following variables is taken into account for the relevance score of an article in a cluster c:
(1) Number of references referring to publications in the class.
(2) Share of total number of active references referring to publications in the class.
(3) Age of the article. New articles get higher score than old articles.
(4) Citation rate, normalized to year.

Classes with closest relation at Level 2


rank cluster_id2 link
1 3602 FIBONACCI QUARTERLY//LUCAS NUMBERS//FIBONACCI NUMBERS
2 2557 RAMANUJAN JOURNAL//THETA FUNCTIONS//Q SERIES
3 3777 OPERATIONAL METHODS//MATRIX ORTHOGONAL POLYNOMIALS//MONOMIALITY PRINCIPLE
4 3270 DE BRUIJN SEQUENCE//HASSE DIAGRAM//GRAY CODE
5 3916 LAGUERRE POLYA CLASS//HYPERBOLIC POLYNOMIAL//HYPERBOLIC POLYNOMIALS
6 1025 ANNALS OF PROBABILITY//BRANCHING RANDOM WALK//BRANCHING PROCESS
7 1755 ACTA ARITHMETICA//JOURNAL OF NUMBER THEORY//DEDEKIND SUMS
8 1976 RIEMANN ZETA FUNCTION//MULTIPLE ZETA VALUES//ACTA ARITHMETICA
9 449 MATHEMATICS//JOURNAL OF ALGEBRA//TRANSFORMATION GROUPS
10 1988 MONOMIAL IDEALS//NUMERICAL SEMIGROUP//EDGE IDEAL

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