Class information for:
Level 1: C 1 SMOOTH FUNCTION//MORSE SARD THEOREM//GRADIENT RANGE

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
31832 1                   C 1 SMOOTH FUNCTION//MORSE SARD THEOREM//GRADIENT RANGE 160

Terms with highest relevance score


rank Category termType chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 C 1 SMOOTH FUNCTION authKW 984905 3% 100% 5
2 MORSE SARD THEOREM authKW 965203 4% 70% 7
3 GRADIENT RANGE authKW 525280 3% 67% 4
4 LIEN SCI TECH address 393962 1% 100% 2
5 MORSE SARD PROPERTY authKW 393962 1% 100% 2
6 LUZIN N PROPERTY authKW 262640 1% 67% 2
7 SARD THEOREM authKW 253258 2% 43% 3
8 APPROXIMATE LIMIT authKW 196981 1% 100% 1
9 APPROXIMATE LIMIT SUPERIOR authKW 196981 1% 100% 1
10 APPROXIMATE LIPSCHITZ CONTINUITY authKW 196981 1% 100% 1

Web of Science journal categories


chi_square_rank Category chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 Mathematics 4506 72% 0% 115
2 Mathematics, Applied 451 22% 0% 35
3 Multidisciplinary Sciences 290 8% 0% 12
4 Mathematics, Interdisciplinary Applications 34 4% 0% 6
5 Instruments & Instrumentation 13 4% 0% 6
6 Engineering, General 11 3% 0% 4
7 Computer Science, Interdisciplinary Applications 3 2% 0% 3
8 Computer Science, Theory & Methods 3 2% 0% 3
9 Physics, Mathematical 3 2% 0% 3
10 Mechanics 3 3% 0% 4

Address terms


chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 LIEN SCI TECH 393962 1% 100% 2
2 EMNERGING MARKETS TRADING 196981 1% 100% 1
3 INVEST MICROELECT CIME 98489 1% 50% 1
4 UMR6083 98489 1% 50% 1
5 ICMAT CSIC UAM UCM UC3 49244 1% 25% 1
6 MATH PHYS THEORET 49244 1% 25% 1
7 DIPARTIMENTO INGN PROD TERMOENERGET MODELLI MAT 41466 1% 11% 2
8 DEP ANAL MATEMAT 32828 1% 17% 1
9 CHEM ENGN MATH 21885 1% 11% 1
10 THEORET MATH 14407 2% 2% 3

Journals


chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 SIBERIAN MATHEMATICAL JOURNAL 57147 19% 1% 30
2 ELECTRONIC RESEARCH ANNOUNCEMENTS OF THE AMERICAN MATHEMATICAL SOCIETY 5833 1% 1% 2
3 DOKLADY AKADEMII NAUK 4293 9% 0% 14
4 INDIANA UNIVERSITY MATHEMATICS JOURNAL 4045 4% 0% 7
5 PROCEEDINGS OF SYMPOSIA IN PURE MATHEMATICS 1627 1% 0% 2
6 DOKLADY MATHEMATICS 1546 3% 0% 5
7 PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY 1147 6% 0% 10
8 DUKE MATHEMATICAL JOURNAL 1060 3% 0% 4
9 ERGODIC THEORY AND DYNAMICAL SYSTEMS 710 2% 0% 3
10 REVISTA INTERNACIONAL DE METODOS NUMERICOS PARA CALCULO Y DISENO EN INGENIERIA 699 1% 0% 1

Author Key Words


chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass LCSH search Wikipedia search
1 C 1 SMOOTH FUNCTION 984905 3% 100% 5 Search C+1+SMOOTH+FUNCTION Search C+1+SMOOTH+FUNCTION
2 MORSE SARD THEOREM 965203 4% 70% 7 Search MORSE+SARD+THEOREM Search MORSE+SARD+THEOREM
3 GRADIENT RANGE 525280 3% 67% 4 Search GRADIENT+RANGE Search GRADIENT+RANGE
4 MORSE SARD PROPERTY 393962 1% 100% 2 Search MORSE+SARD+PROPERTY Search MORSE+SARD+PROPERTY
5 LUZIN N PROPERTY 262640 1% 67% 2 Search LUZIN+N+PROPERTY Search LUZIN+N+PROPERTY
6 SARD THEOREM 253258 2% 43% 3 Search SARD+THEOREM Search SARD+THEOREM
7 APPROXIMATE LIMIT 196981 1% 100% 1 Search APPROXIMATE+LIMIT Search APPROXIMATE+LIMIT
8 APPROXIMATE LIMIT SUPERIOR 196981 1% 100% 1 Search APPROXIMATE+LIMIT+SUPERIOR Search APPROXIMATE+LIMIT+SUPERIOR
9 APPROXIMATE LIPSCHITZ CONTINUITY 196981 1% 100% 1 Search APPROXIMATE+LIPSCHITZ+CONTINUITY Search APPROXIMATE+LIPSCHITZ+CONTINUITY
10 APPROXIMATE PARTIAL DERIVATIVE 196981 1% 100% 1 Search APPROXIMATE+PARTIAL+DERIVATIVE Search APPROXIMATE+PARTIAL+DERIVATIVE

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 26402 GLOBAL INVERSION//MATH INRIA LORRAINE//BANACH FINSLER MANIFOLDS
2 31313 DISPLACEMENT POTENTIAL FUNCTION//DISPLACEMENT POTENTIAL FORMULATION//CMNI
3 24472 REGULAR SYNTHESIS//HAMILTONIAN METHODS//ANGEW MATH WISSEN RECHNEN
4 13368 GRAND LEBESGUE SPACES//MAPPINGS OF FINITE DISTORTION//MAPPING OF FINITE DISTORTION
5 6991 DOMINATED SPLITTING//HOMOCLINIC CLASS//PARTIAL HYPERBOLICITY
6 34457 MINTY BROWDER MONOTONE OPERATORS//ELLIPTIC LIKE REGULARIZATION//CONVERGENCE IN THE SENSE OF RESOLVENT
7 23880 DENSITY TOPOLOGY//HAAR NULL//HAAR MEAGER SET
8 14774 WEAK KAM THEORY//ERGODIC PROBLEM//HAMILTON JACOBI EQUATION
9 30686 RANDOM DIRICHLET SERIES//GENERALIZED TYPE//ORDER R
10 18707 FLUID RIGID BODY INTERACTION//GENERAL OUTFLOW CONDITION//HASEGAWA WAKATANI EQUATIONS

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