Class information for:
Level 2: MORSE SARD THEOREM//CONE SPECTRAL RADIUS//MINTY BROWDER MONOTONE OPERATORS

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
199 3       MATHEMATICS, APPLIED//FIXED POINT//MATHEMATICS 52882
3809 2             MORSE SARD THEOREM//CONE SPECTRAL RADIUS//MINTY BROWDER MONOTONE OPERATORS 1043
23582 1                   CONE SPECTRAL RADIUS//DENJOY WOLFF THEOREMS//HILBERTS PROJECTIVE METRIC 364
26402 1                   GLOBAL INVERSION//MATH INRIA LORRAINE//BANACH FINSLER MANIFOLDS 277
31832 1                   C 1 SMOOTH FUNCTION//MORSE SARD THEOREM//GRADIENT RANGE 160
34457 1                   MINTY BROWDER MONOTONE OPERATORS//ELLIPTIC LIKE REGULARIZATION//CONVERGENCE IN THE SENSE OF RESOLVENT 125
35074 1                   AUTOMATIC STABILIZATION//BROOKINGS TSINGHUA PUBL POLICY//CHINESE STIMULUS PACKAGE 117

Terms with highest relevance score



rank Category termType chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 MORSE SARD THEOREM authKW 193379 1% 80% 8
2 CONE SPECTRAL RADIUS authKW 181295 1% 100% 6
3 MINTY BROWDER MONOTONE OPERATORS authKW 181295 1% 100% 6
4 C 1 SMOOTH FUNCTION authKW 151080 0% 100% 5
5 GRADIENT RANGE authKW 125898 0% 83% 5
6 ALMOST NONEXPANSIVE CURVE authKW 120864 0% 100% 4
7 DENJOY WOLFF THEOREMS authKW 120864 0% 100% 4
8 ELLIPTIC LIKE REGULARIZATION authKW 120864 0% 100% 4
9 HILBERTS PROJECTIVE METRIC authKW 113884 1% 54% 7
10 CONCAVE OPERATOR authKW 107911 0% 71% 5

Web of Science journal categories



chi_square_rank Category chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 Mathematics 28052 70% 0% 733
2 Mathematics, Applied 10111 39% 0% 410
3 Economics 710 10% 0% 102
4 Social Sciences, Mathematical Methods 239 2% 0% 21
5 Multidisciplinary Sciences 193 3% 0% 27
6 Mathematics, Interdisciplinary Applications 99 3% 0% 28
7 Statistics & Probability 60 2% 0% 25
8 Industrial Relations & Labor 25 0% 0% 5
9 Computer Science, Cybernetics 18 0% 0% 5
10 International Relations 14 1% 0% 7

Address terms



chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 MATH INRIA LORRAINE 80573 0% 67% 4
2 LIEN SCI TECH 60432 0% 100% 2
3 ADV COMPUTAT MATH SCI 30216 0% 100% 1
4 ANALISI MATEMAT 30216 0% 100% 1
5 BROOKINGS TSINGHUA PUBL POLICY 30216 0% 100% 1
6 DIMITROV TECHNOL CONTROL DESIGN 30216 0% 100% 1
7 DIPARTMENTO MATEMAT SCI ECON SOCIALI 30216 0% 100% 1
8 DIRECCIN GEN INVEST 30216 0% 100% 1
9 ECON ST EDMUND HALL 30216 0% 100% 1
10 EMNERGING MARKETS TRADING 30216 0% 100% 1

Journals



chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 JOURNAL OF INTEGRAL EQUATIONS 27469 1% 8% 11
2 ASIAN ECONOMIC PAPERS 14296 1% 5% 9
3 NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS 12779 7% 1% 72
4 SIBERIAN MATHEMATICAL JOURNAL 12565 3% 1% 36
5 JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS 7417 7% 0% 73
6 AMERICAN MATHEMATICAL MONTHLY 4330 2% 1% 20
7 ISRAEL JOURNAL OF MATHEMATICS 3771 2% 1% 22
8 JOURNAL OF EVOLUTION EQUATIONS 3437 1% 1% 8
9 PROCEEDINGS OF THE JAPAN ACADEMY SERIES A-MATHEMATICAL SCIENCES 3380 2% 1% 16
10 PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY 3073 4% 0% 42

Author Key Words



chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass LCSH search Wikipedia search
1 MORSE SARD THEOREM 193379 1% 80% 8 Search MORSE+SARD+THEOREM Search MORSE+SARD+THEOREM
2 CONE SPECTRAL RADIUS 181295 1% 100% 6 Search CONE+SPECTRAL+RADIUS Search CONE+SPECTRAL+RADIUS
3 MINTY BROWDER MONOTONE OPERATORS 181295 1% 100% 6 Search MINTY+BROWDER+MONOTONE+OPERATORS Search MINTY+BROWDER+MONOTONE+OPERATORS
4 C 1 SMOOTH FUNCTION 151080 0% 100% 5 Search C+1+SMOOTH+FUNCTION Search C+1+SMOOTH+FUNCTION
5 GRADIENT RANGE 125898 0% 83% 5 Search GRADIENT+RANGE Search GRADIENT+RANGE
6 ALMOST NONEXPANSIVE CURVE 120864 0% 100% 4 Search ALMOST+NONEXPANSIVE+CURVE Search ALMOST+NONEXPANSIVE+CURVE
7 DENJOY WOLFF THEOREMS 120864 0% 100% 4 Search DENJOY+WOLFF+THEOREMS Search DENJOY+WOLFF+THEOREMS
8 ELLIPTIC LIKE REGULARIZATION 120864 0% 100% 4 Search ELLIPTIC+LIKE+REGULARIZATION Search ELLIPTIC+LIKE+REGULARIZATION
9 HILBERTS PROJECTIVE METRIC 113884 1% 54% 7 Search HILBERTS+PROJECTIVE+METRIC Search HILBERTS+PROJECTIVE+METRIC
10 CONCAVE OPERATOR 107911 0% 71% 5 Search CONCAVE+OPERATOR Search CONCAVE+OPERATOR

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
1 771 POSITIVE SOLUTION//FIXED POINT THEOREM//FRACTIONAL DIFFERENTIAL EQUATIONS
2 3598 DIFFERENCE EQUATIONS//JOURNAL OF DIFFERENCE EQUATIONS AND APPLICATIONS//SYSTEM OF DIFFERENCE EQUATIONS
3 2680 PIECEWISE CONSTANT ARGUMENT//ALMOST AUTOMORPHIC//ALMOST PERIODIC
4 3463 HYPERCYCLIC OPERATORS//LINEABILITY//SPACEABILITY
5 2533 FIXED POINT//COMMON FIXED POINT//PITMAN RESEARCH NOTES IN MATHEMATICS SERIES
6 2071 NORMAL COMPLIANCE//HEMIVARIATIONAL INEQUALITY//SWEEPING PROCESS
7 3703 FARTHEST POINT//CHEBYSHEV SET//GENERIC PROPERTY
8 4176 CHABAUTY TOPOLOGY//IDEMPOTENT DISTRIBUTION//INDEPENDENT LINEAR STATISTICS
9 101 JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS//MATHEMATICS, APPLIED//GLOBAL CONVERGENCE
10 2932 SECRETARY PROBLEM//STOCHASTIC GAMES//MULTI ARMED BANDIT

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