Class information for:
Level 1: RANDOM DIRICHLET SERIES//GENERALIZED TYPE//ORDER R

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
684 3       UNIVALENT FUNCTIONS//ANALYTIC FUNCTIONS//MEROMORPHIC FUNCTION 8711
3618 2             BENFORDS LAW//GREATEST TYPE DIVISOR//GCD MATRIX 1357
30686 1                   RANDOM DIRICHLET SERIES//GENERALIZED TYPE//ORDER R 179

Terms with highest relevance score


rank Category termType chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 RANDOM DIRICHLET SERIES authKW 1252067 4% 89% 8
2 GENERALIZED TYPE authKW 528216 2% 100% 3
3 ORDER R authKW 528216 2% 100% 3
4 BETAU ORDER authKW 352144 1% 100% 2
5 CONVERGENT ABSCISSA authKW 352144 1% 100% 2
6 INDEX OF MAXIMUM TERM authKW 352144 1% 100% 2
7 JULIA LINES authKW 352144 1% 100% 2
8 MAXIMAL MODULE authKW 352144 1% 100% 2
9 PITS PROPERTY authKW 352144 1% 100% 2
10 RANDOM TAYLOR SERIES authKW 352144 1% 100% 2

Web of Science journal categories


chi_square_rank Category chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 Mathematics 7873 89% 0% 160
2 Mathematics, Applied 421 20% 0% 36
3 Multidisciplinary Sciences 12 2% 0% 3
4 Statistics & Probability 9 2% 0% 4
5 Computer Science, Theory & Methods 0 1% 0% 2
6 Physics, Mathematical 0 1% 0% 2
7 Operations Research & Management Science 0 1% 0% 1
8 Mechanics -0 1% 0% 2
9 Computer Science, Information Systems -0 1% 0% 1
10 Computer Science, Artificial Intelligence -0 1% 0% 1

Address terms


chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 SHOOL PL MATH 176072 1% 100% 1
2 BEIJING INFORMAT SERV ENGN 15307 1% 4% 2
3 SECT DWARKA 3 11736 1% 7% 1
4 LMIB 4037 2% 1% 3
5 UMR 6140 3762 1% 1% 2
6 LAMFA 2061 1% 1% 2
7 PL PROBLEMS MECH MATH 1164 1% 1% 1
8 MATH COMPUTAT SCI 558 2% 0% 3
9 LTH 483 1% 0% 1
10 MATH 394 18% 0% 33

Journals


chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 ACTA MATHEMATICA SCIENTIA 24580 11% 1% 19
2 INDIAN JOURNAL OF PURE & APPLIED MATHEMATICS 11580 8% 0% 14
3 COMPTES RENDUS DE L ACADEMIE DES SCIENCES SERIE I-MATHEMATIQUE 2984 7% 0% 12
4 COMPTES RENDUS HEBDOMADAIRES DES SEANCES DE L ACADEMIE DES SCIENCES SERIE A 2246 1% 1% 2
5 MATHEMATICAL NOTES 2194 4% 0% 8
6 CHINESE ANNALS OF MATHEMATICS SERIES B 1626 2% 0% 4
7 JOURNAL OF MATHEMATICS OF KYOTO UNIVERSITY 1323 2% 0% 3
8 BULLETIN DES SCIENCES MATHEMATIQUES 1284 2% 0% 3
9 JOURNAL OF APPROXIMATION THEORY 1269 3% 0% 5
10 MICHIGAN MATHEMATICAL JOURNAL 1071 2% 0% 3

Author Key Words


chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass LCSH search Wikipedia search
1 RANDOM DIRICHLET SERIES 1252067 4% 89% 8 Search RANDOM+DIRICHLET+SERIES Search RANDOM+DIRICHLET+SERIES
2 GENERALIZED TYPE 528216 2% 100% 3 Search GENERALIZED+TYPE Search GENERALIZED+TYPE
3 ORDER R 528216 2% 100% 3 Search ORDER+R Search ORDER+R
4 BETAU ORDER 352144 1% 100% 2 Search BETAU+ORDER Search BETAU+ORDER
5 CONVERGENT ABSCISSA 352144 1% 100% 2 Search CONVERGENT+ABSCISSA Search CONVERGENT+ABSCISSA
6 INDEX OF MAXIMUM TERM 352144 1% 100% 2 Search INDEX+OF+MAXIMUM+TERM Search INDEX+OF+MAXIMUM+TERM
7 JULIA LINES 352144 1% 100% 2 Search JULIA+LINES Search JULIA+LINES
8 MAXIMAL MODULE 352144 1% 100% 2 Search MAXIMAL+MODULE Search MAXIMAL+MODULE
9 PITS PROPERTY 352144 1% 100% 2 Search PITS+PROPERTY Search PITS+PROPERTY
10 RANDOM TAYLOR SERIES 352144 1% 100% 2 Search RANDOM+TAYLOR+SERIES Search RANDOM+TAYLOR+SERIES

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 27056 GREATEST TYPE DIVISOR//GCD MATRIX//GCD CLOSED SET
2 33971 HARMONIC MORPHISMS//P HARMONIC MORPHISMS//EUTACTIC STARS
3 22295 RANDOM POLYNOMIALS//KAC RICE FORMULA//RANDOM ALGEBRAIC POLYNOMIALS
4 19314 STATIONARY SCHRODINGER OPERATOR//GROWTH PROPERTY//STATIONARY SCHRODINGER EQUATION
5 13845 TEICHMULLER SPACE//STREBEL POINT//HAMILTON SEQUENCE
6 20271 MARTINGALE APPROXIMATION//BOUNDS FOR TAIL PROBABILITIES//HOEFFDINGS INEQUALITIES
7 4849 MEROMORPHIC FUNCTION//NORMAL FAMILY//NEVANLINNA THEORY
8 31832 C 1 SMOOTH FUNCTION//MORSE SARD THEOREM//GRADIENT RANGE
9 32101 UNIQUENESS OF NORM//TRANSLATION INVARIANT FUNCTIONALS//LACUNARY SEQUENCE OF PARTIAL SUMS
10 23211 NON DOUBLING MEASURE//RBMOMU//ANALYTIC CAPACITY

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