Class information for:
Level 1: CAUCHYS THEOREM AND FORMULA//INVARIANT VECTOR SUBSPACES//REAL FUNCTION FAMILY

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
3916 2             LAGUERRE POLYA CLASS//HYPERBOLIC POLYNOMIAL//HYPERBOLIC POLYNOMIALS 901
38381 1                   CAUCHYS THEOREM AND FORMULA//INVARIANT VECTOR SUBSPACES//REAL FUNCTION FAMILY 63

Terms with highest relevance score



rank Category termType chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 CAUCHYS THEOREM AND FORMULA authKW 500272 2% 100% 1
2 INVARIANT VECTOR SUBSPACES authKW 500272 2% 100% 1
3 REAL FUNCTION FAMILY authKW 500272 2% 100% 1
4 SUM OF EXPONENTIAL FUNCTIONS authKW 500272 2% 100% 1
5 THE BOREL CARATHEODORY THEOREM authKW 500272 2% 100% 1
6 ZEROS OF INTEGRAL TRANSFORMS authKW 500272 2% 100% 1
7 NUMBER OF ZEROES authKW 250135 2% 50% 1
8 DESCARTES RULE OF SIGNS authKW 236966 5% 16% 3
9 ICICI address 166756 2% 33% 1
10 AMERICAN MATHEMATICAL MONTHLY journal 112991 40% 1% 25

Web of Science journal categories



chi_square_rank Category chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 Mathematics 3047 94% 0% 59
2 Mathematics, Applied 157 21% 0% 13

Address terms



chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 ICICI 166756 2% 33% 1
2 LEHRSTUHL MATH INFORMAT 15158 2% 3% 1
3 IRMP 9807 2% 2% 1
4 PL EDUC SCI TEACHER EDUC 9437 2% 2% 1
5 MATEMAT PURA 4630 2% 1% 1
6 ST STEPHENS 1729 2% 0% 1
7 SCI BIZERTE 506 2% 0% 1
8 MATH 275 25% 0% 16
9 ANAL 183 2% 0% 1
10 MATEMAT 142 5% 0% 3

Journals



chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 AMERICAN MATHEMATICAL MONTHLY 112991 40% 1% 25
2 JOURNAL OF THE LONDON MATHEMATICAL SOCIETY-SECOND SERIES 3431 8% 0% 5
3 ERGODIC THEORY AND DYNAMICAL SYSTEMS 1812 5% 0% 3
4 MATHEMATICAL INTELLIGENCER 808 2% 0% 1
5 BULLETIN OF THE LONDON MATHEMATICAL SOCIETY 683 3% 0% 2
6 NUMERISCHE MATHEMATIK 657 3% 0% 2
7 JOURNAL OF THE AUSTRALIAN MATHEMATICAL SOCIETY 607 2% 0% 1
8 ISRAEL JOURNAL OF MATHEMATICS 518 3% 0% 2
9 CONSTRUCTIVE APPROXIMATION 488 2% 0% 1
10 UKRAINIAN MATHEMATICAL JOURNAL 482 2% 0% 1

Author Key Words



chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass LCSH search Wikipedia search
1 CAUCHYS THEOREM AND FORMULA 500272 2% 100% 1 Search CAUCHYS+THEOREM+AND+FORMULA Search CAUCHYS+THEOREM+AND+FORMULA
2 INVARIANT VECTOR SUBSPACES 500272 2% 100% 1 Search INVARIANT+VECTOR+SUBSPACES Search INVARIANT+VECTOR+SUBSPACES
3 REAL FUNCTION FAMILY 500272 2% 100% 1 Search REAL+FUNCTION+FAMILY Search REAL+FUNCTION+FAMILY
4 SUM OF EXPONENTIAL FUNCTIONS 500272 2% 100% 1 Search SUM+OF+EXPONENTIAL+FUNCTIONS Search SUM+OF+EXPONENTIAL+FUNCTIONS
5 THE BOREL CARATHEODORY THEOREM 500272 2% 100% 1 Search THE+BOREL+CARATHEODORY+THEOREM Search THE+BOREL+CARATHEODORY+THEOREM
6 ZEROS OF INTEGRAL TRANSFORMS 500272 2% 100% 1 Search ZEROS+OF+INTEGRAL+TRANSFORMS Search ZEROS+OF+INTEGRAL+TRANSFORMS
7 NUMBER OF ZEROES 250135 2% 50% 1 Search NUMBER+OF+ZEROES Search NUMBER+OF+ZEROES
8 DESCARTES RULE OF SIGNS 236966 5% 16% 3 Search DESCARTES+RULE+OF+SIGNS Search DESCARTES+RULE+OF+SIGNS
9 FUNDAMENTAL THEOREM OF ALGEBRA 87000 3% 9% 2 Search FUNDAMENTAL+THEOREM+OF+ALGEBRA Search FUNDAMENTAL+THEOREM+OF+ALGEBRA
10 LEVYS THEOREM 83377 2% 17% 1 Search LEVYS+THEOREM Search LEVYS+THEOREM

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 35879 CATIVIC//PARAMETRIC QUANTUM METHOD//PARAMETRIC FUNCTIONALS
2 29142 OPTIMAL BOUND//MORIGUTIS INEQUALITY//KTH RECORD
3 22063 ARCHIVE FOR HISTORY OF EXACT SCIENCES//HISTORIA MATHEMATICA//INFINITESIMAL
4 19314 STATIONARY SCHRODINGER OPERATOR//GROWTH PROPERTY//STATIONARY SCHRODINGER EQUATION
5 17963 SIMULTANEOUS METHODS//POLYNOMIAL ZEROS//INCLUSION METHODS
6 11783 PAC LEARNING//COMPUTATIONAL LEARNING THEORY//LEHRSTUHL MATH INFORMAT
7 22944 STRONG LINEAR PRESERVER//G MAJORIZATION//GENERALIZED MATRIX FUNCTION
8 20837 MANDELBROT SET//GENERALIZED M J SETS//JULIA SET
9 27671 LIE QUADRATIC//RIEMANNIAN CUBIC//MOTION FAIRING
10 17207 STARLIKE MAPPING//BIHOLOMORPHIC MAPPING//LOEWNER CHAIN

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