Class information for:
Level 2: UNITARILY INVARIANT NORM//NONEXTENSIVE STATISTICAL MECHANICS//OPERATOR INEQUALITY

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
678 3       UNITARILY INVARIANT NORM//NONEXTENSIVE STATISTICAL MECHANICS//OPERATOR INEQUALITY 8932
1877 2             UNITARILY INVARIANT NORM//NONEXTENSIVE STATISTICAL MECHANICS//OPERATOR INEQUALITY 6363
2927 1                   NONEXTENSIVE STATISTICAL MECHANICS//NONEXTENSIVE STATISTICS//TSALLIS STATISTICS 2141
6843 1                   UNITARILY INVARIANT NORM//OPERATOR INEQUALITY//OPERATOR MONOTONE FUNCTION 1463
12382 1                   POWER DIVERGENCE//MINIMUM PHI DIVERGENCE ESTIMATOR//PHI DIVERGENCE MEASURE 940
17368 1                   SHAPE SPACE//EXTRINSIC MEAN//FRECHET MEAN 631
17661 1                   DIRECTIONAL DATA//CIRCULAR DATA//VON MISES DISTRIBUTION 616
24525 1                   HADAMARD MANIFOLD//RIEMANNIAN OPTIMIZATION//MONOTONE VECTOR FIELDS 332
33792 1                   COMP SCI LIX//DEFORMED EXPONENTIAL FAMILY//HESSIAN MANIFOLD 134
35842 1                   MULTITIME MAXIMUM PRINCIPLE//MATH INFORMAT 1//MULTITIME DYNAMIC PROGRAMMING 106

Terms with highest relevance score



rank Category termType chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 UNITARILY INVARIANT NORM authKW 429046 2% 67% 129
2 NONEXTENSIVE STATISTICAL MECHANICS authKW 369685 2% 77% 97
3 OPERATOR INEQUALITY authKW 341678 2% 70% 99
4 OPERATOR MONOTONE FUNCTION authKW 331001 1% 86% 78
5 OPERATOR MEAN authKW 329800 1% 91% 73
6 FURUTA INEQUALITY authKW 277795 1% 88% 64
7 DIRECTIONAL DATA authKW 229554 1% 58% 80
8 NONEXTENSIVE STATISTICS authKW 227831 1% 72% 64
9 TSALLIS ENTROPY authKW 220106 2% 40% 112
10 TSALLIS STATISTICS authKW 216842 1% 59% 74

Web of Science journal categories



chi_square_rank Category chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 Statistics & Probability 53303 23% 1% 1435
2 Mathematics 21479 26% 0% 1656
3 Mathematics, Applied 15354 20% 0% 1295
4 Physics, Multidisciplinary 12515 21% 0% 1357
5 Physics, Mathematical 8515 11% 0% 685
6 Physics, Fluids & Plasmas 1083 4% 0% 237
7 Mathematical & Computational Biology 919 3% 0% 161
8 Mathematics, Interdisciplinary Applications 489 2% 0% 157
9 Computer Science, Cybernetics 417 1% 0% 54
10 Computer Science, Artificial Intelligence 331 3% 0% 161

Address terms



chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 TENNOJI BRANCH 69317 0% 100% 14
2 ARTS SCI INFORMAT SCI 64694 0% 93% 14
3 CEAAS 49293 1% 29% 34
4 ETSAM 43338 0% 49% 18
5 MATH INFORMAT 1 38400 0% 52% 15
6 STAT OR 36132 1% 13% 57
7 ART SCI INFORMAT SCI 34658 0% 100% 7
8 TECH ZAGREB 24756 0% 100% 5
9 DIPARTIMENTO SEFEMEQ 23751 0% 40% 12
10 SENIOR HIGH 22714 0% 31% 15

Journals



chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS 72732 9% 3% 547
2 LINEAR ALGEBRA AND ITS APPLICATIONS 57303 6% 3% 370
3 MATHEMATICAL INEQUALITIES & APPLICATIONS 35534 2% 7% 102
4 BALKAN JOURNAL OF GEOMETRY AND ITS APPLICATIONS 31748 1% 16% 40
5 JOURNAL OF MATHEMATICAL INEQUALITIES 28619 1% 10% 59
6 ENTROPY 16871 1% 4% 90
7 LINEAR & MULTILINEAR ALGEBRA 11203 1% 4% 57
8 JOURNAL OF MULTIVARIATE ANALYSIS 10858 1% 2% 90
9 ANNALS OF FUNCTIONAL ANALYSIS 10749 0% 8% 26
10 PHYSICS LETTERS A 7161 4% 1% 223

Author Key Words



chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass LCSH search Wikipedia search
1 UNITARILY INVARIANT NORM 429046 2% 67% 129 Search UNITARILY+INVARIANT+NORM Search UNITARILY+INVARIANT+NORM
2 NONEXTENSIVE STATISTICAL MECHANICS 369685 2% 77% 97 Search NONEXTENSIVE+STATISTICAL+MECHANICS Search NONEXTENSIVE+STATISTICAL+MECHANICS
3 OPERATOR INEQUALITY 341678 2% 70% 99 Search OPERATOR+INEQUALITY Search OPERATOR+INEQUALITY
4 OPERATOR MONOTONE FUNCTION 331001 1% 86% 78 Search OPERATOR+MONOTONE+FUNCTION Search OPERATOR+MONOTONE+FUNCTION
5 OPERATOR MEAN 329800 1% 91% 73 Search OPERATOR+MEAN Search OPERATOR+MEAN
6 FURUTA INEQUALITY 277795 1% 88% 64 Search FURUTA+INEQUALITY Search FURUTA+INEQUALITY
7 DIRECTIONAL DATA 229554 1% 58% 80 Search DIRECTIONAL+DATA Search DIRECTIONAL+DATA
8 NONEXTENSIVE STATISTICS 227831 1% 72% 64 Search NONEXTENSIVE+STATISTICS Search NONEXTENSIVE+STATISTICS
9 TSALLIS ENTROPY 220106 2% 40% 112 Search TSALLIS+ENTROPY Search TSALLIS+ENTROPY
10 TSALLIS STATISTICS 216842 1% 59% 74 Search TSALLIS+STATISTICS Search TSALLIS+STATISTICS

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 2166 GAMMA FUNCTION//HERMITE HADAMARD INEQUALITY//JOURNAL OF MATHEMATICAL INEQUALITIES
2 1809 ECONOPHYSICS//PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS//MINORITY GAME
3 1464 DIRICHLET PROCESS//BAYESIAN NONPARAMETRICS//MARKOV CHAIN MONTE CARLO
4 329 STATISTICS & PROBABILITY//EMPIRICAL LIKELIHOOD//JOURNAL OF ECONOMETRICS
5 3305 GENERALIZED MAXIMUM ENTROPY//LAPLACE TRANSFORM INVERSION//FRACTIONAL MOMENTS
6 1571 CHAOTIC TIME SERIES//CORRELATION DIMENSION//RECURRENCE PLOT
7 1212 ORDER STATISTICS//STATISTICS & PROBABILITY//RANKED SET SAMPLING
8 3183 SLICED INVERSE REGRESSION//SUFFICIENT DIMENSION REDUCTION//CENTRAL SUBSPACE
9 1812 LINEAR ALGEBRA AND ITS APPLICATIONS//DRAZIN INVERSE//GROUP INVERSE
10 2365 BLIND SOURCE SEPARATION//BLIND SOURCE SEPARATION BSS//NONNEGATIVE MATRIX FACTORIZATION

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