Class information for:
Level 1: JACOBI MATRICES//ABSOLUTELY CONTINUOUS SPECTRUM//UNIVERSALITY LIMITS

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
1285 2             JOURNAL OF APPROXIMATION THEORY//ORTHOGONAL POLYNOMIALS//MODULUS OF CONTINUITY 9020
14720 1                   JACOBI MATRICES//ABSOLUTELY CONTINUOUS SPECTRUM//UNIVERSALITY LIMITS 782

Terms with highest relevance score


rank Category termType chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 JACOBI MATRICES authKW 466584 4% 37% 31
2 ABSOLUTELY CONTINUOUS SPECTRUM authKW 455604 4% 36% 31
3 UNIVERSALITY LIMITS authKW 443316 1% 100% 11
4 CHRISTOFFEL FUNCTIONS authKW 382104 2% 59% 16
5 ORTHOGONAL POLYNOMIALS authKW 308802 14% 7% 112
6 INVERSE POLYNOMIAL IMAGE authKW 201507 1% 100% 5
7 SZEGO ASYMPTOTICS authKW 201507 1% 100% 5
8 WYDZIAL MATEMAT INFORMAT MECH address 197473 1% 70% 7
9 MTA SZTE ANAL STOCHAST GRP address 183681 2% 33% 14
10 JOURNAL OF APPROXIMATION THEORY journal 182655 16% 4% 125

Web of Science journal categories


chi_square_rank Category chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 Mathematics 26217 78% 0% 612
2 Mathematics, Applied 4441 30% 0% 238
3 Physics, Mathematical 792 9% 0% 74
4 Architecture 3 0% 0% 1
5 Physics, Multidisciplinary 2 3% 0% 20
6 Engineering, General 1 1% 0% 7
7 Multidisciplinary Sciences 0 0% 0% 3
8 Mathematical & Computational Biology 0 0% 0% 3
9 Mathematics, Interdisciplinary Applications 0 1% 0% 4
10 Statistics & Probability -0 1% 0% 4

Address terms


chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 WYDZIAL MATEMAT INFORMAT MECH 197473 1% 70% 7
2 MTA SZTE ANAL STOCHAST GRP 183681 2% 33% 14
3 BOLYAI 110479 5% 6% 43
4 ANAL GRP 93709 1% 23% 10
5 ABT DYNAM SYST PROXIMATIONSTHEORIE 53734 0% 67% 2
6 ABT DYNAM SYST PROXIMAT THEORIE 53730 1% 33% 4
7 ABTEILUNG DYNAM SYST PROXIMATIONSTHEORIE 40301 0% 100% 1
8 ALGEBRA STOCHAST WISSENBASIERTE MATH SYST 40301 0% 100% 1
9 ANALYSE GEOMET PLICAT 40301 0% 100% 1
10 ERC ADV GRANT 267055 40301 0% 100% 1

Journals


chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 JOURNAL OF APPROXIMATION THEORY 182655 16% 4% 125
2 CONSTRUCTIVE APPROXIMATION 87105 6% 5% 47
3 COMPUTATIONAL METHODS AND FUNCTION THEORY 21843 1% 7% 8
4 JOURNAL OF SPECTRAL THEORY 11535 1% 4% 7
5 JOURNAL D ANALYSE MATHEMATIQUE 4825 2% 1% 12
6 COMMUNICATIONS IN MATHEMATICAL PHYSICS 4042 4% 0% 29
7 JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS 3923 4% 0% 32
8 INTERNATIONAL MATHEMATICS RESEARCH NOTICES 3701 2% 1% 17
9 SBORNIK MATHEMATICS 3622 2% 1% 12
10 ACTA MATHEMATICA HUNGARICA 3410 2% 1% 16

Author Key Words


chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass LCSH search Wikipedia search
1 JACOBI MATRICES 466584 4% 37% 31 Search JACOBI+MATRICES Search JACOBI+MATRICES
2 ABSOLUTELY CONTINUOUS SPECTRUM 455604 4% 36% 31 Search ABSOLUTELY+CONTINUOUS+SPECTRUM Search ABSOLUTELY+CONTINUOUS+SPECTRUM
3 UNIVERSALITY LIMITS 443316 1% 100% 11 Search UNIVERSALITY+LIMITS Search UNIVERSALITY+LIMITS
4 CHRISTOFFEL FUNCTIONS 382104 2% 59% 16 Search CHRISTOFFEL+FUNCTIONS Search CHRISTOFFEL+FUNCTIONS
5 ORTHOGONAL POLYNOMIALS 308802 14% 7% 112 Search ORTHOGONAL+POLYNOMIALS Search ORTHOGONAL+POLYNOMIALS
6 INVERSE POLYNOMIAL IMAGE 201507 1% 100% 5 Search INVERSE+POLYNOMIAL+IMAGE Search INVERSE+POLYNOMIAL+IMAGE
7 SZEGO ASYMPTOTICS 201507 1% 100% 5 Search SZEGO+ASYMPTOTICS Search SZEGO+ASYMPTOTICS
8 BERGMAN ORTHOGONAL POLYNOMIALS 167921 1% 83% 5 Search BERGMAN+ORTHOGONAL+POLYNOMIALS Search BERGMAN+ORTHOGONAL+POLYNOMIALS
9 TWO INTERVALS 167921 1% 83% 5 Search TWO+INTERVALS Search TWO+INTERVALS
10 ASYMPTOTICS OF GENERALIZED EIGENVECTORS 161206 1% 100% 4 Search ASYMPTOTICS+OF+GENERALIZED+EIGENVECTORS Search ASYMPTOTICS+OF+GENERALIZED+EIGENVECTORS

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 7341 RANDOM SCHRODINGER OPERATORS//INTEGRATED DENSITY OF STATES//WEGNER ESTIMATE
2 12356 MULTIPLE ORTHOGONAL POLYNOMIALS//NIKISHIN SYSTEMS//HERMITE PADE APPROXIMANTS
3 14049 HERMITE FEJER INTERPOLATION//FREUD WEIGHTS//ERDOS WEIGHTS
4 23682 BIEBERBACH POLYNOMIALS//QUASICONFORMAL CURVE//FABER OPERATOR
5 12024 ORTHOGONAL RATIONAL FUNCTIONS//SZEGO POLYNOMIALS//ORTHOGONAL LAURENT POLYNOMIALS
6 23904 INEQUALITIES IN THE COMPLEX DOMAIN//POLAR DERIVATIVE//MARKOV INEQUALITY
7 9204 SOBOLEV ORTHOGONAL POLYNOMIALS//ORTHOGONAL POLYNOMIALS//SOBOLEV INNER PRODUCTS
8 24562 TAKAGI FUNCTION//APPROXIMATE CONVEXITY//SINGULAR FUNCTIONS
9 16470 MAGNETIC SCHRODINGER OPERATOR//LIEB THIRRING TYPE INEQUALITY//COMPLEX PERTURBATION
10 13292 CONJOINED BASIS//LIMIT POINT CASE//DISCRETE SYMPLECTIC SYSTEM

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