Class information for:
Level 1: UNITARILY INVARIANT NORM//OPERATOR INEQUALITY//OPERATOR MONOTONE FUNCTION

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
6843 1                   UNITARILY INVARIANT NORM//OPERATOR INEQUALITY//OPERATOR MONOTONE FUNCTION 1463

Terms with highest relevance score


rank Category termType chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 UNITARILY INVARIANT NORM authKW 1866906 9% 67% 129
2 OPERATOR INEQUALITY authKW 1486718 7% 70% 99
3 OPERATOR MONOTONE FUNCTION authKW 1440141 5% 86% 78
4 OPERATOR MEAN authKW 1395836 5% 90% 72
5 FURUTA INEQUALITY authKW 1208636 4% 88% 64
6 LOWNER HEINZ INEQUALITY authKW 885088 3% 96% 43
7 POSITIVE OPERATOR authKW 790802 7% 38% 96
8 POSITIVE LINEAR MAP authKW 641947 3% 65% 46
9 HEINZ INEQUALITY authKW 580461 2% 84% 32
10 POSITIVE DEFINITE MATRIX authKW 534273 4% 39% 63

Web of Science journal categories


chi_square_rank Category chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 Mathematics 57351 84% 0% 1236
2 Mathematics, Applied 27546 54% 0% 793
3 Physics, Mathematical 1144 8% 0% 123
4 Statistics & Probability 84 2% 0% 35
5 Psychology, Mathematical 0 0% 0% 1
6 Physics, Multidisciplinary -0 2% 0% 25
7 Computer Science, Theory & Methods -1 1% 0% 8
8 Social Sciences, Mathematical Methods -1 0% 0% 1
9 Computer Science, Information Systems -1 0% 0% 6
10 Mathematics, Interdisciplinary Applications -3 0% 0% 3

Address terms


chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 TENNOJI BRANCH 301573 1% 100% 14
2 ARTS SCI INFORMAT SCI 281466 1% 93% 14
3 CEAAS 214618 2% 29% 34
4 ART SCI INFORMAT SCI 150786 0% 100% 7
5 TECH ZAGREB 107705 0% 100% 5
6 DIPARTIMENTO SEFEMEQ 103382 1% 40% 12
7 SENIOR HIGH 98892 1% 31% 15
8 GRP MATH INEQUAL PLICAT 57432 1% 33% 8
9 ESTADIST COMP CIENT 43082 0% 100% 2
10 EXCELLENCE HIGHER EDUC 29957 1% 17% 8

Journals


chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 LINEAR ALGEBRA AND ITS APPLICATIONS 240916 25% 3% 362
2 MATHEMATICAL INEQUALITIES & APPLICATIONS 152197 7% 7% 101
3 JOURNAL OF MATHEMATICAL INEQUALITIES 120668 4% 10% 58
4 LINEAR & MULTILINEAR ALGEBRA 49108 4% 4% 57
5 ANNALS OF FUNCTIONAL ANALYSIS 46925 2% 8% 26
6 OPERATORS AND MATRICES 29548 2% 5% 26
7 JOURNAL OF INEQUALITIES AND APPLICATIONS 26857 5% 2% 66
8 BANACH JOURNAL OF MATHEMATICAL ANALYSIS 17370 1% 4% 18
9 ELECTRONIC JOURNAL OF LINEAR ALGEBRA 10601 1% 3% 19
10 SIAM JOURNAL ON MATRIX ANALYSIS AND APPLICATIONS 8912 2% 1% 30

Author Key Words


chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass LCSH search Wikipedia search
1 UNITARILY INVARIANT NORM 1866906 9% 67% 129 Search UNITARILY+INVARIANT+NORM Search UNITARILY+INVARIANT+NORM
2 OPERATOR INEQUALITY 1486718 7% 70% 99 Search OPERATOR+INEQUALITY Search OPERATOR+INEQUALITY
3 OPERATOR MONOTONE FUNCTION 1440141 5% 86% 78 Search OPERATOR+MONOTONE+FUNCTION Search OPERATOR+MONOTONE+FUNCTION
4 OPERATOR MEAN 1395836 5% 90% 72 Search OPERATOR+MEAN Search OPERATOR+MEAN
5 FURUTA INEQUALITY 1208636 4% 88% 64 Search FURUTA+INEQUALITY Search FURUTA+INEQUALITY
6 LOWNER HEINZ INEQUALITY 885088 3% 96% 43 Search LOWNER+HEINZ+INEQUALITY Search LOWNER+HEINZ+INEQUALITY
7 POSITIVE OPERATOR 790802 7% 38% 96 Search POSITIVE+OPERATOR Search POSITIVE+OPERATOR
8 POSITIVE LINEAR MAP 641947 3% 65% 46 Search POSITIVE+LINEAR+MAP Search POSITIVE+LINEAR+MAP
9 HEINZ INEQUALITY 580461 2% 84% 32 Search HEINZ+INEQUALITY Search HEINZ+INEQUALITY
10 POSITIVE DEFINITE MATRIX 534273 4% 39% 63 Search POSITIVE+DEFINITE+MATRIX Search POSITIVE+DEFINITE+MATRIX

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 22944 STRONG LINEAR PRESERVER//G MAJORIZATION//GENERALIZED MATRIX FUNCTION
2 30375 BANACH LIE POISSON SPACE//NONCOMMUTATIVE KAHLER GEOMETRY//PAIRS OF PROJECTIONS
3 33792 COMP SCI LIX//DEFORMED EXPONENTIAL FAMILY//HESSIAN MANIFOLD
4 25574 ORTHOGONALITY PRESERVING MAPPINGS//BIRKHOFF JAMES ORTHOGONALITY//DUNKL WILLIAMS INEQUALITY
5 7039 HERMITE HADAMARD INEQUALITY//OSTROWSKI INEQUALITY//CONVEX FUNCTION
6 11471 NONCOMMUTATIVE L P SPACES//MEASURABLE OPERATOR//NONCOMMUTATIVE MARTINGALES
7 9700 QUANTUM CHANNEL//QUANTUM SHANNON THEORY//QUANTUM CAPACITY
8 17060 NUMERICAL RANGE//NUMERICAL RADIUS//HIGHER RANK NUMERICAL RANGE
9 38534 INNER OPERATIONS//POSITIVE LINEAR FORMS//SUPERFIDELITY
10 17647 LINEAR SUFFICIENCY//OLSE//BALANCED LOSS FUNCTION

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