Class information for:
Level 1: DIVERGENT PERMUTATIONS//CONVERGENT PERMUTATIONS//UNIVERSAL FUZZY MEASURE

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
3714 2             MAHLER MEASURE//SALEM NUMBERS//EXPLICIT AUXILIARY FUNCTION 1196
31665 1                   DIVERGENT PERMUTATIONS//CONVERGENT PERMUTATIONS//UNIVERSAL FUZZY MEASURE 163

Terms with highest relevance score



rank Category termType chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 DIVERGENT PERMUTATIONS authKW 966778 3% 100% 5
2 CONVERGENT PERMUTATIONS authKW 773422 2% 100% 4
3 UNIVERSAL FUZZY MEASURE authKW 773422 2% 100% 4
4 ASYMPTOTIC DENSITY authKW 634577 10% 21% 16
5 RIEMANNS THEOREM authKW 618736 2% 80% 4
6 ASYMPTOTIC FUZZY MEASURE authKW 580067 2% 100% 3
7 FINITELY ADDITIVE INTEGRATION authKW 580067 2% 100% 3
8 DENSITY SET authKW 386711 1% 100% 2
9 RATIO BLOCK SEQUENCE authKW 386711 1% 100% 2
10 SUMMABLE IDEALS authKW 386711 1% 100% 2

Web of Science journal categories



chi_square_rank Category chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 Mathematics 7099 89% 0% 145
2 Mathematics, Applied 340 19% 0% 31
3 Statistics & Probability 39 4% 0% 7
4 Social Sciences, Mathematical Methods 12 1% 0% 2
5 Computer Science, Cybernetics 5 1% 0% 1
6 Computer Science, Information Systems 1 1% 0% 2
7 Computer Science, Artificial Intelligence 1 1% 0% 2
8 Mathematics, Interdisciplinary Applications 0 1% 0% 1
9 Economics 0 1% 0% 2
10 Computer Science, Theory & Methods -0 1% 0% 1

Address terms



chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 UO IRAFM 193356 1% 100% 1
2 DPTO ALGEBRA ANAL MATEMAT 154682 1% 40% 2
3 MATEMAT LICADA EU INFORMAT 96677 1% 50% 1
4 PROBABILIST STAT METHODS 96677 1% 50% 1
5 MUSKHELISHVILI COMPUTAT MATH 59491 1% 15% 2
6 N MUSKHELISHVILI COMPUTAT MATH 48337 1% 25% 1
7 NIKO MUSKHELISHVILI COMPUTAT MATH 48337 1% 25% 1
8 ALGEBRA GEOMETRY MATH EDUC 17576 1% 9% 1
9 POMONA 17576 1% 9% 1
10 ANAL COMPUTAT NUMBER THEORY MATH A 16111 1% 8% 1

Journals



chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 AMERICAN MATHEMATICAL MONTHLY 22613 11% 1% 18
2 COLLEGE MATHEMATICS JOURNAL 8787 1% 5% 1
3 MATHEMATICA SLOVACA 7962 4% 1% 6
4 CZECHOSLOVAK MATHEMATICAL JOURNAL 4143 4% 0% 7
5 STUDIA MATHEMATICA 3177 4% 0% 7
6 JOURNAL OF NUMBER THEORY 2540 5% 0% 8
7 PERIODICA MATHEMATICA HUNGARICA 2187 1% 1% 2
8 ACTA ARITHMETICA 2115 4% 0% 6
9 ACTA MATHEMATICA HUNGARICA 1602 3% 0% 5
10 JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS 1509 8% 0% 13

Author Key Words



chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass LCSH search Wikipedia search
1 DIVERGENT PERMUTATIONS 966778 3% 100% 5 Search DIVERGENT+PERMUTATIONS Search DIVERGENT+PERMUTATIONS
2 CONVERGENT PERMUTATIONS 773422 2% 100% 4 Search CONVERGENT+PERMUTATIONS Search CONVERGENT+PERMUTATIONS
3 UNIVERSAL FUZZY MEASURE 773422 2% 100% 4 Search UNIVERSAL+FUZZY+MEASURE Search UNIVERSAL+FUZZY+MEASURE
4 ASYMPTOTIC DENSITY 634577 10% 21% 16 Search ASYMPTOTIC+DENSITY Search ASYMPTOTIC+DENSITY
5 RIEMANNS THEOREM 618736 2% 80% 4 Search RIEMANNS+THEOREM Search RIEMANNS+THEOREM
6 ASYMPTOTIC FUZZY MEASURE 580067 2% 100% 3 Search ASYMPTOTIC+FUZZY+MEASURE Search ASYMPTOTIC+FUZZY+MEASURE
7 FINITELY ADDITIVE INTEGRATION 580067 2% 100% 3 Search FINITELY+ADDITIVE+INTEGRATION Search FINITELY+ADDITIVE+INTEGRATION
8 DENSITY SET 386711 1% 100% 2 Search DENSITY+SET Search DENSITY+SET
9 RATIO BLOCK SEQUENCE 386711 1% 100% 2 Search RATIO+BLOCK+SEQUENCE Search RATIO+BLOCK+SEQUENCE
10 SUMMABLE IDEALS 386711 1% 100% 2 Search SUMMABLE+IDEALS Search SUMMABLE+IDEALS

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 1



rank cluster_id2 link
1 38797 APPROACH TO THERMODYNAMIC EQUILIBRIUM//BASEL PROBLEM//EULERS SINE PRODUCT
2 28911 3X1 PROBLEM//COLLATZ CONJECTURE//COLLATZ PROBLEM
3 18050 SOCIAL CHOICE AND WELFARE//ARROWS IMPOSSIBILITY THEOREM//SOCIAL WELFARE FUNCTION
4 31984 PACKING CHROMATIC NUMBER//DISTANCE GRAPH//TOEPLITZ GRAPH
5 22967 BENFORDS LAW//FIRST DIGIT LAW//MANTISSA
6 32101 UNIQUENESS OF NORM//TRANSLATION INVARIANT FUNCTIONALS//LACUNARY SEQUENCE OF PARTIAL SUMS
7 10652 FUZZY MEASURE//SUGENO INTEGRAL//CHOQUET INTEGRAL
8 30775 GROSSONE//INFINITE AND INFINITESIMAL NUMBERS//INFINITE SETS
9 30400 EGYPTIAN FRACTIONS//ERDOS MOSER EQUATION//ALGEBRAIC AND LINEAR DEPENDENCES
10 13752 IMPRECISE PROBABILITIES//NONPARAMETRIC PREDICTIVE INFERENCE//COHERENT LOWER PREVISIONS

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