Class information for:
Level 2: COMBINATORICS ON WORDS//STURMIAN WORDS//BETA EXPANSION

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
486 3       ERGODIC THEORY AND DYNAMICAL SYSTEMS//MATHEMATICS//HAUSDORFF DIMENSION 24099
2336 2             COMBINATORICS ON WORDS//STURMIAN WORDS//BETA EXPANSION 4693
7714 1                   COMBINATORICS ON WORDS//STURMIAN WORDS//PARTIAL WORDS 1361
9270 1                   BETA EXPANSION//PISOT NUMBERS//CANONICAL NUMBER SYSTEM 1202
20145 1                   SUM OF DIGITS FUNCTION//SUM OF DIGITS//DIGITAL EXPANSIONS 496
20995 1                   IRRATIONALITY MEASURE//LINEAR INDEPENDENCE MEASURE//IRRATIONALITY 460
23227 1                   MAHLERS METHOD//ALGEBRAIC INDEPENDENCE//MAHLER FUNCTION 375
24801 1                   CONTINUED FRACTIONS//Q CONTINUED FRACTION//BAUER MUIR TRANSFORMATION 324
25545 1                   NORMAL NUMBERS//CANTOR SERIES//BBP TYPE FORMULAE 302
34839 1                   INTEGER VALUED ENTIRE FUNCTION//WARINGS PROBLEM//RECURRENT STEP EQUATIONS 120
38797 1                   APPROACH TO THERMODYNAMIC EQUILIBRIUM//BASEL PROBLEM//EULERS SINE PRODUCT 53

Terms with highest relevance score


rank Category termType chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 COMBINATORICS ON WORDS authKW 637277 3% 63% 150
2 STURMIAN WORDS authKW 548315 2% 83% 99
3 BETA EXPANSION authKW 329868 2% 62% 79
4 PARTIAL WORDS authKW 247160 1% 78% 47
5 THUE MORSE WORD authKW 228269 1% 100% 34
6 PISOT NUMBERS authKW 225832 1% 56% 60
7 SUBWORD COMPLEXITY authKW 187460 1% 85% 33
8 NORMAL NUMBERS authKW 174132 1% 62% 42
9 AUTOMATIC SEQUENCE authKW 158999 1% 79% 30
10 PALINDROME authKW 149920 2% 31% 72

Web of Science journal categories


chi_square_rank Category chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 Mathematics 124019 70% 1% 3270
2 Computer Science, Theory & Methods 10840 14% 0% 642
3 Mathematics, Applied 9415 19% 0% 877
4 Computer Science, Information Systems 782 4% 0% 187
5 Physics, Mathematical 415 3% 0% 156
6 Computer Science, Software Engineering 172 2% 0% 89
7 Statistics & Probability 31 1% 0% 56
8 Logic 20 0% 0% 9
9 Mathematics, Interdisciplinary Applications 9 1% 0% 38
10 Computer Science, Hardware & Architecture 4 0% 0% 22

Address terms


chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 ABT MATH STAT 74366 0% 92% 12
2 COMP ALGEBRA 69670 1% 36% 29
3 FUNDIM 62487 0% 85% 11
4 MATH FNSPE 55945 0% 83% 10
5 CHAIR MATH STAT 50534 0% 47% 16
6 MATH ANGEW GEOMETRIE 43934 0% 55% 12
7 AMIENOIS MATH FONDAMENTALES PL 43849 0% 47% 14
8 MATH LUMINY 38847 1% 14% 41
9 UPR 9016 36858 1% 21% 26
10 HH WIRT AFT 33569 0% 100% 5

Journals


chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 RAIRO-THEORETICAL INFORMATICS AND APPLICATIONS 122774 2% 21% 86
2 ACTA ARITHMETICA 88384 4% 6% 208
3 THEORETICAL COMPUTER SCIENCE 87375 8% 3% 377
4 FIBONACCI QUARTERLY 80926 3% 9% 130
5 JOURNAL OF NUMBER THEORY 65494 5% 5% 218
6 ERGODIC THEORY AND DYNAMICAL SYSTEMS 32587 2% 4% 110
7 AMERICAN MATHEMATICAL MONTHLY 24080 2% 4% 100
8 RAMANUJAN JOURNAL 15577 1% 5% 50
9 INTERNATIONAL JOURNAL OF NUMBER THEORY 14672 1% 4% 52
10 INTERNATIONAL JOURNAL OF FOUNDATIONS OF COMPUTER SCIENCE 13152 1% 4% 44

Author Key Words


chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass LCSH search Wikipedia search
1 COMBINATORICS ON WORDS 637277 3% 63% 150 Search COMBINATORICS+ON+WORDS Search COMBINATORICS+ON+WORDS
2 STURMIAN WORDS 548315 2% 83% 99 Search STURMIAN+WORDS Search STURMIAN+WORDS
3 BETA EXPANSION 329868 2% 62% 79 Search BETA+EXPANSION Search BETA+EXPANSION
4 PARTIAL WORDS 247160 1% 78% 47 Search PARTIAL+WORDS Search PARTIAL+WORDS
5 THUE MORSE WORD 228269 1% 100% 34 Search THUE+MORSE+WORD Search THUE+MORSE+WORD
6 PISOT NUMBERS 225832 1% 56% 60 Search PISOT+NUMBERS Search PISOT+NUMBERS
7 SUBWORD COMPLEXITY 187460 1% 85% 33 Search SUBWORD+COMPLEXITY Search SUBWORD+COMPLEXITY
8 NORMAL NUMBERS 174132 1% 62% 42 Search NORMAL+NUMBERS Search NORMAL+NUMBERS
9 AUTOMATIC SEQUENCE 158999 1% 79% 30 Search AUTOMATIC+SEQUENCE Search AUTOMATIC+SEQUENCE
10 PALINDROME 149920 2% 31% 72 Search PALINDROME Search PALINDROME

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 3714 MAHLER MEASURE//SALEM NUMBERS//EXPLICIT AUXILIARY FUNCTION
2 865 ERGODIC THEORY AND DYNAMICAL SYSTEMS//HAUSDORFF DIMENSION//JULIA SET
3 1537 QUASICRYSTALS//APPROXIMANT//DECAGONAL QUASICRYSTAL
4 3602 FIBONACCI QUARTERLY//LUCAS NUMBERS//FIBONACCI NUMBERS
5 1755 ACTA ARITHMETICA//JOURNAL OF NUMBER THEORY//DEDEKIND SUMS
6 1649 THEORETICAL COMPUTER SCIENCE//FORMAL LANGUAGES//DESCRIPTIONAL COMPLEXITY
7 4177 JOINT SPECTRAL RADIUS//GENERALIZED SPECTRAL RADIUS//EXTREMAL NORM
8 2557 RAMANUJAN JOURNAL//THETA FUNCTIONS//Q SERIES
9 2910 INVERSE LIMIT//CONTINUUM//TOPOLOGY AND ITS APPLICATIONS
10 3760 COMBINATORIAL GAMES//MAGIC SQUARES//SIERPINSKI GRAPHS

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