Class information for:
Level 2: PIECEWISE CONSTANT ARGUMENT//ALMOST AUTOMORPHIC//ALMOST PERIODIC

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
2680 2             PIECEWISE CONSTANT ARGUMENT//ALMOST AUTOMORPHIC//ALMOST PERIODIC 3645
9070 1                   PIECEWISE CONSTANT ARGUMENT//ALMOST AUTOMORPHIC//ALMOST PERIODIC 1222
14649 1                   INTEGRATED SEMIGROUP//C SEMIGROUPS//ABSTRACT CAUCHY PROBLEM 786
18849 1                   TRANSPORT OPERATOR//FREDHOLM PERTURBATION//ESSENTIAL SPECTRA 557
22361 1                   EVOLUTION ALGEBRA//QUADRATIC STOCHASTIC OPERATOR//BARIC ALGEBRA 407
25902 1                   COHOMOLOGY EQUATION//CONSTRICTIVE OPERATOR//CONTRACTION MAJORANT 290
29424 1                   DIRAC HYDROGEN ATOM//QUANTIZED MAGNETIC FLUX//HYPOTHESIS FOR GENERALIZED GRAVITATIONAL THEORY 204
30692 1                   KELVIN VOIGT FLUID//GENERALIZED SHOWALTER SIDOROV PROBLEM//EQUATION OF SOBOLEV TYPE 179

Terms with highest relevance score


rank Category termType chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 PIECEWISE CONSTANT ARGUMENT authKW 613929 2% 86% 83
2 ALMOST AUTOMORPHIC authKW 399147 1% 94% 49
3 ALMOST PERIODIC authKW 250639 2% 50% 58
4 PSEUDO ALMOST AUTOMORPHIC authKW 216118 1% 100% 25
5 PSEUDO ALMOST PERIODIC authKW 210061 1% 90% 27
6 EVOLUTION ALGEBRA authKW 198828 1% 100% 23
7 QUADRATIC STOCHASTIC OPERATOR authKW 198828 1% 100% 23
8 PSEUDO ALMOST PERIODIC FUNCTION authKW 191510 1% 92% 24
9 C 0 SEMIGROUP authKW 187920 2% 25% 86
10 ABSTRACT CAUCHY PROBLEM authKW 168272 1% 43% 45

Web of Science journal categories


chi_square_rank Category chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 Mathematics 117034 77% 1% 2793
2 Mathematics, Applied 48053 46% 0% 1662
3 Physics, Mathematical 210 3% 0% 103
4 Multidisciplinary Sciences 199 2% 0% 56
5 Statistics & Probability 43 1% 0% 51
6 Automation & Control Systems 24 1% 0% 35
7 Mathematical & Computational Biology 23 1% 0% 29
8 Mathematics, Interdisciplinary Applications 10 1% 0% 32
9 Computer Science, Cybernetics 1 0% 0% 5
10 Computer Science, Software Engineering -0 0% 0% 18

Address terms


chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 COMPUTAT THEORET SCI 60541 1% 24% 29
2 MODELISAT MECAN MATH PL 32005 0% 37% 10
3 LMCM RSA 25934 0% 100% 3
4 MATH 25830 32% 0% 1167
5 MATEMAT CIENCIA COMP 23921 0% 23% 12
6 ESCUELA MATEMAT ESTADIST 19449 0% 75% 3
7 LMCM RMI 17289 0% 100% 2
8 UNIV MATEMAT LICAC 16853 0% 18% 11
9 KATOWICE BRANCH 15558 0% 60% 3
10 MODELISAT MECAN MATH PLIQUEES 15558 0% 60% 3

Journals


chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 SEMIGROUP FORUM 80196 4% 6% 148
2 JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS 28201 7% 1% 266
3 STUDIA MATHEMATICA 25546 3% 3% 94
4 NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS 19325 5% 1% 166
5 TRANSPORT THEORY AND STATISTICAL PHYSICS 16724 1% 7% 28
6 ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS 13395 2% 2% 71
7 JOURNAL OF EVOLUTION EQUATIONS 12049 1% 5% 28
8 DIFFERENTIAL EQUATIONS 9888 2% 2% 67
9 PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY 8528 4% 1% 131
10 COMPTES RENDUS DE L ACADEMIE DES SCIENCES SERIE I-MATHEMATIQUE 8499 3% 1% 92

Author Key Words


chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass LCSH search Wikipedia search
1 PIECEWISE CONSTANT ARGUMENT 613929 2% 86% 83 Search PIECEWISE+CONSTANT+ARGUMENT Search PIECEWISE+CONSTANT+ARGUMENT
2 ALMOST AUTOMORPHIC 399147 1% 94% 49 Search ALMOST+AUTOMORPHIC Search ALMOST+AUTOMORPHIC
3 ALMOST PERIODIC 250639 2% 50% 58 Search ALMOST+PERIODIC Search ALMOST+PERIODIC
4 PSEUDO ALMOST AUTOMORPHIC 216118 1% 100% 25 Search PSEUDO+ALMOST+AUTOMORPHIC Search PSEUDO+ALMOST+AUTOMORPHIC
5 PSEUDO ALMOST PERIODIC 210061 1% 90% 27 Search PSEUDO+ALMOST+PERIODIC Search PSEUDO+ALMOST+PERIODIC
6 EVOLUTION ALGEBRA 198828 1% 100% 23 Search EVOLUTION+ALGEBRA Search EVOLUTION+ALGEBRA
7 QUADRATIC STOCHASTIC OPERATOR 198828 1% 100% 23 Search QUADRATIC+STOCHASTIC+OPERATOR Search QUADRATIC+STOCHASTIC+OPERATOR
8 PSEUDO ALMOST PERIODIC FUNCTION 191510 1% 92% 24 Search PSEUDO+ALMOST+PERIODIC+FUNCTION Search PSEUDO+ALMOST+PERIODIC+FUNCTION
9 C 0 SEMIGROUP 187920 2% 25% 86 Search C+0+SEMIGROUP Search C+0+SEMIGROUP
10 ABSTRACT CAUCHY PROBLEM 168272 1% 43% 45 Search ABSTRACT+CAUCHY+PROBLEM Search ABSTRACT+CAUCHY+PROBLEM

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 3809 MORSE SARD THEOREM//CONE SPECTRAL RADIUS//MINTY BROWDER MONOTONE OPERATORS
3 2987 DISTRIBUTED PARAMETER SYSTEMS//INFINITE DIMENSIONAL SYSTEMS//BOUNDARY CONTROL
4 1723 OSCILLATION//NONOSCILLATION//NONOSCILLATORY SOLUTION
5 2912 FOURIER ALGEBRA//LOCALLY COMPACT GROUP//BANACH ALGEBRA
6 1712 CARLEMAN ESTIMATES//NULL CONTROLLABILITY//GENERAL DECAY
7 887 PERMANENCE//HOPF BIFURCATION//PREDATOR PREY SYSTEM
8 3463 HYPERCYCLIC OPERATORS//LINEABILITY//SPACEABILITY
9 1749 LOGISTIC SOURCE//CHEMOTAXIS//KELLER SEGEL MODEL
10 521 MATHEMATICS//BMO//COMMUTATOR

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