Class information for:
Level 2: COLOMBEAU ALGEBRA//GENERALIZED FUNCTIONS//NEUTRIX LIMIT

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
18802 1                   ULTRADISTRIBUTIONS//HANKEL TRANSFORMATION//HANKEL CONVOLUTION 559
18906 1                   COLOMBEAU ALGEBRA//ALGEBRAS OF GENERALIZED FUNCTIONS//COLOMBEAU GENERALIZED FUNCTIONS 554
25451 1                   NEUTRIX LIMIT//BOEHMIANS//NEUTRIX 304
25460 1                   ASYMPTOTIC BEHAVIOR OF GENERALIZED FUNCTIONS//DISTRIBUTIONAL POINT VALUES//QUASIASYMPTOTICS 304
27469 1                   KONTOROVICH LEBEDEV TRANSFORM//MEHLER FOCK TRANSFORM//INDEX TRANSFORMS 248
30775 1                   GROSSONE//INFINITE AND INFINITESIMAL NUMBERS//INFINITE SETS 178
36987 1                   LATTICE ORDERED ALGEBRA//LATTICE ORDERED RING//LEVI CIVITA FIELD 90

Terms with highest relevance score


rank Category termType chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 COLOMBEAU ALGEBRA authKW 645606 2% 88% 52
2 GENERALIZED FUNCTIONS authKW 618117 4% 46% 96
3 NEUTRIX LIMIT authKW 606056 2% 98% 44
4 BOEHMIANS authKW 536647 2% 95% 40
5 INTEGRAL TRANSFORMS AND SPECIAL FUNCTIONS journal 515060 10% 17% 217
6 NEUTRIX authKW 507135 2% 100% 36
7 ALGEBRAS OF GENERALIZED FUNCTIONS authKW 480440 2% 95% 36
8 COLOMBEAU GENERALIZED FUNCTIONS authKW 366264 1% 100% 26
9 KONTOROVICH LEBEDEV TRANSFORM authKW 308129 2% 63% 35
10 ULTRADISTRIBUTIONS authKW 267617 2% 50% 38

Web of Science journal categories


chi_square_rank Category chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 Mathematics 57210 69% 0% 1534
2 Mathematics, Applied 28719 45% 0% 1007
3 Physics, Mathematical 1608 8% 0% 181
4 Physics, Multidisciplinary 190 6% 0% 133
5 Multidisciplinary Sciences 156 2% 0% 38
6 Mathematics, Interdisciplinary Applications 90 2% 0% 43
7 Education, Scientific Disciplines 61 1% 0% 23
8 Logic 22 0% 0% 6
9 Mechanics 21 2% 0% 49
10 Engineering, General 12 1% 0% 25

Address terms


chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 TECH MATH GEOMETRIE BAUINFORMAT 63383 0% 50% 9
2 UNIT ENGN MATH 34504 0% 35% 7
3 AOC 29244 0% 23% 9
4 EQUIPE AANL 28174 0% 100% 2
5 EQUIPE ANAL ALGEBR NON LINEAIRE 28174 0% 100% 2
6 HANOI EDUC TRAINING 28174 0% 100% 2
7 GRUNDLAGEN BAUINGENIEURWISSEN 27084 0% 38% 5
8 ARBEITSBEREICH TECH MATH 25354 0% 60% 3
9 MATH GEOMETRIE 21560 0% 22% 7
10 IUT CREUSOT 20485 0% 36% 4

Journals


chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 INTEGRAL TRANSFORMS AND SPECIAL FUNCTIONS 515060 10% 17% 217
2 JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS 25804 9% 1% 199
3 JOURNAL OF PSEUDO-DIFFERENTIAL OPERATORS AND APPLICATIONS 13202 1% 7% 13
4 MATHEMATISCHE NACHRICHTEN 9852 2% 1% 54
5 MONATSHEFTE FUR MATHEMATIK 9591 2% 2% 40
6 APPLICABLE ANALYSIS 5595 1% 2% 25
7 INDIAN JOURNAL OF PURE & APPLIED MATHEMATICS 5411 2% 1% 34
8 IZVESTIYA VYSSHIKH UCHEBNYKH ZAVEDENII MATEMATIKA 5297 1% 2% 18
9 ZEITSCHRIFT FUR ANALYSIS UND IHRE ANWENDUNGEN 4803 1% 2% 16
10 FRACTIONAL CALCULUS AND APPLIED ANALYSIS 4240 0% 3% 11

Author Key Words


chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass LCSH search Wikipedia search
1 COLOMBEAU ALGEBRA 645606 2% 88% 52 Search COLOMBEAU+ALGEBRA Search COLOMBEAU+ALGEBRA
2 GENERALIZED FUNCTIONS 618117 4% 46% 96 Search GENERALIZED+FUNCTIONS Search GENERALIZED+FUNCTIONS
3 NEUTRIX LIMIT 606056 2% 98% 44 Search NEUTRIX+LIMIT Search NEUTRIX+LIMIT
4 BOEHMIANS 536647 2% 95% 40 Search BOEHMIANS Search BOEHMIANS
5 NEUTRIX 507135 2% 100% 36 Search NEUTRIX Search NEUTRIX
6 ALGEBRAS OF GENERALIZED FUNCTIONS 480440 2% 95% 36 Search ALGEBRAS+OF+GENERALIZED+FUNCTIONS Search ALGEBRAS+OF+GENERALIZED+FUNCTIONS
7 COLOMBEAU GENERALIZED FUNCTIONS 366264 1% 100% 26 Search COLOMBEAU+GENERALIZED+FUNCTIONS Search COLOMBEAU+GENERALIZED+FUNCTIONS
8 KONTOROVICH LEBEDEV TRANSFORM 308129 2% 63% 35 Search KONTOROVICH+LEBEDEV+TRANSFORM Search KONTOROVICH+LEBEDEV+TRANSFORM
9 ULTRADISTRIBUTIONS 267617 2% 50% 38 Search ULTRADISTRIBUTIONS Search ULTRADISTRIBUTIONS
10 DELTA FUNCTION 246238 2% 45% 39 Search DELTA+FUNCTION Search DELTA+FUNCTION

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 2807 MULTISUMMABILITY//BOREL SUMMABILITY//ULTRADIFFERENTIABLE FUNCTIONS
2 2452 DUNKL TRANSFORM//DUNKL OPERATORS//DEFORMATION QUANTIZATION
3 2998 INFINITE DIMENSIONAL LIE GROUP//ALGEBRAIC QUANTUM FIELD THEORY//COMMUNICATIONS IN MATHEMATICAL PHYSICS
4 1761 APPLIED AND COMPUTATIONAL HARMONIC ANALYSIS//FRAMES//GABOR FRAMES
5 3358 P ADIC NUMBERS//GENERALIZED BROWNIAN MOTION PROCESS//FIRST VARIATION
6 1719 CONSERVATION LAWS//RIEMANN PROBLEM//DELTA SHOCK WAVE
7 2619 HYERS ULAM STABILITY//HYERS ULAM RASSIAS STABILITY//GENERALIZED HYERS ULAM STABILITY
8 4013 QUASINORMAL FORM//RELAXATION CYCLE//BUFFER PHENOMENON
9 2557 RAMANUJAN JOURNAL//THETA FUNCTIONS//Q SERIES
10 2166 GAMMA FUNCTION//HERMITE HADAMARD INEQUALITY//JOURNAL OF MATHEMATICAL INEQUALITIES

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