Class information for:
Level 1: COLOMBEAU ALGEBRA//ALGEBRAS OF GENERALIZED FUNCTIONS//COLOMBEAU GENERALIZED FUNCTIONS

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
482 3       MATHEMATICS//APPLIED AND COMPUTATIONAL HARMONIC ANALYSIS//FRAMES 24304
3207 2             COLOMBEAU ALGEBRA//GENERALIZED FUNCTIONS//NEUTRIX LIMIT 2237
18906 1                   COLOMBEAU ALGEBRA//ALGEBRAS OF GENERALIZED FUNCTIONS//COLOMBEAU GENERALIZED FUNCTIONS 554

Terms with highest relevance score


rank Category termType chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 COLOMBEAU ALGEBRA authKW 2607211 9% 88% 52
2 ALGEBRAS OF GENERALIZED FUNCTIONS authKW 1940190 6% 95% 36
3 COLOMBEAU GENERALIZED FUNCTIONS authKW 1367507 5% 96% 25
4 GENERALIZED FUNCTIONS authKW 760871 10% 25% 53
5 NONLINEAR GENERALIZED FUNCTIONS authKW 686722 2% 93% 13
6 SHARP TOPOLOGY authKW 455107 1% 100% 8
7 ASSOCIATED HOMOGENEOUS DISTRIBUTION authKW 348440 1% 88% 7
8 ALGEBRA OF GENERALIZED FUNCTIONS authKW 284442 1% 100% 5
9 HOLOMORPHIC GENERALIZED FUNCTIONS authKW 284442 1% 100% 5
10 REGULARIZATION OF DATA authKW 284442 1% 100% 5

Web of Science journal categories


chi_square_rank Category chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 Mathematics 13570 67% 0% 372
2 Mathematics, Applied 5961 41% 0% 229
3 Physics, Mathematical 463 9% 0% 48
4 Physics, Multidisciplinary 186 10% 0% 55
5 Multidisciplinary Sciences 170 3% 0% 18
6 Statistics & Probability 24 2% 0% 12
7 Physics, Particles & Fields 15 3% 0% 15
8 Astronomy & Astrophysics 6 3% 0% 16
9 Mathematics, Interdisciplinary Applications 4 1% 0% 6
10 Logic 2 0% 0% 1

Address terms


chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 UNIT ENGN MATH 139367 1% 35% 7
2 AOC 118139 2% 23% 9
3 EQUIPE AANL 113777 0% 100% 2
4 EQUIPE ANAL ALGEBR NON LINEAIRE 113777 0% 100% 2
5 TECH MATH GEOMETRIE BAUINFORMAT 113769 1% 33% 6
6 GRUNDLAGEN BAUINGENIEURWISSEN 109395 1% 38% 5
7 ARBEITSBEREICH TECH MATH 102397 1% 60% 3
8 CRREF 75850 0% 67% 2
9 EQUIPE ANAL ALGEBRIQUE NON LINEAIRE 56888 0% 100% 1
10 EQUIPE ANALYSE ALGEB NON LINEAIRE 56888 0% 100% 1

Journals


chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 INTEGRAL TRANSFORMS AND SPECIAL FUNCTIONS 77892 8% 3% 42
2 MONATSHEFTE FUR MATHEMATIK 28145 6% 1% 34
3 JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS 6847 9% 0% 51
4 PUBLICATIONS DE L INSTITUT MATHEMATIQUE-BEOGRAD 5439 1% 2% 5
5 ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS 5072 3% 1% 17
6 ACTA APPLICANDAE MATHEMATICAE 3778 2% 1% 12
7 ZEITSCHRIFT FUR ANALYSIS UND IHRE ANWENDUNGEN 3723 1% 1% 7
8 APPLICABLE ANALYSIS 3627 2% 1% 10
9 PROCEEDINGS OF THE EDINBURGH MATHEMATICAL SOCIETY 3597 2% 1% 10
10 MATHEMATISCHE NACHRICHTEN 3073 3% 0% 15

Author Key Words


chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass LCSH search Wikipedia search
1 COLOMBEAU ALGEBRA 2607211 9% 88% 52 Search COLOMBEAU+ALGEBRA Search COLOMBEAU+ALGEBRA
2 ALGEBRAS OF GENERALIZED FUNCTIONS 1940190 6% 95% 36 Search ALGEBRAS+OF+GENERALIZED+FUNCTIONS Search ALGEBRAS+OF+GENERALIZED+FUNCTIONS
3 COLOMBEAU GENERALIZED FUNCTIONS 1367507 5% 96% 25 Search COLOMBEAU+GENERALIZED+FUNCTIONS Search COLOMBEAU+GENERALIZED+FUNCTIONS
4 GENERALIZED FUNCTIONS 760871 10% 25% 53 Search GENERALIZED+FUNCTIONS Search GENERALIZED+FUNCTIONS
5 NONLINEAR GENERALIZED FUNCTIONS 686722 2% 93% 13 Search NONLINEAR+GENERALIZED+FUNCTIONS Search NONLINEAR+GENERALIZED+FUNCTIONS
6 SHARP TOPOLOGY 455107 1% 100% 8 Search SHARP+TOPOLOGY Search SHARP+TOPOLOGY
7 ASSOCIATED HOMOGENEOUS DISTRIBUTION 348440 1% 88% 7 Search ASSOCIATED+HOMOGENEOUS+DISTRIBUTION Search ASSOCIATED+HOMOGENEOUS+DISTRIBUTION
8 ALGEBRA OF GENERALIZED FUNCTIONS 284442 1% 100% 5 Search ALGEBRA+OF+GENERALIZED+FUNCTIONS Search ALGEBRA+OF+GENERALIZED+FUNCTIONS
9 HOLOMORPHIC GENERALIZED FUNCTIONS 284442 1% 100% 5 Search HOLOMORPHIC+GENERALIZED+FUNCTIONS Search HOLOMORPHIC+GENERALIZED+FUNCTIONS
10 REGULARIZATION OF DATA 284442 1% 100% 5 Search REGULARIZATION+OF+DATA Search REGULARIZATION+OF+DATA

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 14026 DELTA SHOCK WAVE//TRANSONIC SHOCK//DELTA SHOCKS
2 25460 ASYMPTOTIC BEHAVIOR OF GENERALIZED FUNCTIONS//DISTRIBUTIONAL POINT VALUES//QUASIASYMPTOTICS
3 18802 ULTRADISTRIBUTIONS//HANKEL TRANSFORMATION//HANKEL CONVOLUTION
4 38217 DEGENERATE MANIFOLDS//SINGULAR SEMI RIEMANNIAN MANIFOLDS//FRIEDMANN LEMAITRE ROBERTSON WALKER
5 25451 NEUTRIX LIMIT//BOEHMIANS//NEUTRIX
6 12423 CLASSICAL AND QUANTUM GRAVITY//IMPULSIVE GRAVITATIONAL WAVES//MATH COMPUTAT THEORY GRP
7 17673 NONLINEAR GEOMETRIC OPTICS//IDEAL COMPRESSIBLE MAGNETOHYDRODYNAMICS//PLASMA VACUUM INTERFACE
8 34914 ANTILOGARITHMIC MAPPING//COMPLEX SPATIAL VARIABLES//LEIBNIZ CONDITION
9 36701 RECURSIVE SATURATION//BOUNDED SATURATION//MODELS OF ARITHMETIC
10 37323 RADIATION TRANSFER EQUATION//ATMOSPHERIC CLOUDS//EFFECTIVE MULTIPLICATION COEFFICIENT

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