Class information for:
Level 1: ISOMETRIC EXTENSION//RANDOM NORMED MODULE//MAZUR ULAM THEOREM

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
318 3       MATHEMATICS//STUDIA MATHEMATICA//MATH 39244
1747 2             PRIME RING//DERIVATION//GENERALIZED DERIVATION 6812
22993 1                   ISOMETRIC EXTENSION//RANDOM NORMED MODULE//MAZUR ULAM THEOREM 383

Terms with highest relevance score



rank Category termType chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 ISOMETRIC EXTENSION authKW 2781342 10% 87% 39
2 RANDOM NORMED MODULE authKW 1728059 5% 100% 21
3 MAZUR ULAM THEOREM authKW 1219079 5% 74% 20
4 ALEKSANDROV PROBLEM authKW 987462 3% 100% 12
5 EPSILON ISOMETRY authKW 948733 4% 82% 14
6 TINGLEYS PROBLEM authKW 905174 3% 100% 11
7 ISOMETRIC MAPPING authKW 822865 5% 50% 20
8 N ISOMETRY authKW 632984 3% 77% 10
9 PROBABILISTIC NORMED SPACE authKW 601864 4% 46% 16
10 EPSILON LAMBDA TOPOLOGY authKW 576020 2% 100% 7

Web of Science journal categories



chi_square_rank Category chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 Mathematics 19844 97% 0% 371
2 Mathematics, Applied 5751 49% 0% 186
3 Mathematics, Interdisciplinary Applications 5 1% 0% 5
4 Physics, Mathematical 0 1% 0% 4
5 Biodiversity Conservation 0 0% 0% 1
6 Engineering, General -0 1% 0% 2
7 Statistics & Probability -0 1% 0% 2
8 Automation & Control Systems -0 0% 0% 1
9 Computer Science, Artificial Intelligence -1 0% 0% 1
10 Computer Science, Theory & Methods -1 0% 0% 1

Address terms



chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 INFORMAT MATH BEHAV 164577 1% 100% 2
2 TIAN FU 123430 1% 50% 3
3 MATEMAT LAITOS 92571 1% 38% 3
4 PAYYANUR 82289 0% 100% 1
5 PL 4 82289 0% 100% 1
6 SHREN MATH 82289 0% 100% 1
7 TIAN FU SW 82289 0% 100% 1
8 LMIB 47203 4% 4% 15
9 MATEMATIIKAN LAITOS 41143 0% 50% 1
10 LPMC 20595 6% 1% 23

Journals



chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 ACTA MATHEMATICA SINICA-ENGLISH SERIES 14746 6% 1% 22
2 STUDIA MATHEMATICA 13371 6% 1% 22
3 JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS 11580 14% 0% 55
4 QUAESTIONES MATHEMATICAE 8529 2% 1% 7
5 ACTA MATHEMATICA SCIENTIA 6219 4% 1% 14
6 ANNALS OF FUNCTIONAL ANALYSIS 4239 1% 1% 4
7 SCIENCE IN CHINA SERIES A-MATHEMATICS 4076 3% 0% 11
8 BULLETIN OF THE AUSTRALIAN MATHEMATICAL SOCIETY 3509 3% 0% 12
9 JOURNAL OF INEQUALITIES AND APPLICATIONS 2842 3% 0% 11
10 AEQUATIONES MATHEMATICAE 2554 1% 1% 4

Author Key Words



chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass LCSH search Wikipedia search
1 ISOMETRIC EXTENSION 2781342 10% 87% 39 Search ISOMETRIC+EXTENSION Search ISOMETRIC+EXTENSION
2 RANDOM NORMED MODULE 1728059 5% 100% 21 Search RANDOM+NORMED+MODULE Search RANDOM+NORMED+MODULE
3 MAZUR ULAM THEOREM 1219079 5% 74% 20 Search MAZUR+ULAM+THEOREM Search MAZUR+ULAM+THEOREM
4 ALEKSANDROV PROBLEM 987462 3% 100% 12 Search ALEKSANDROV+PROBLEM Search ALEKSANDROV+PROBLEM
5 EPSILON ISOMETRY 948733 4% 82% 14 Search EPSILON+ISOMETRY Search EPSILON+ISOMETRY
6 TINGLEYS PROBLEM 905174 3% 100% 11 Search TINGLEYS+PROBLEM Search TINGLEYS+PROBLEM
7 ISOMETRIC MAPPING 822865 5% 50% 20 Search ISOMETRIC+MAPPING Search ISOMETRIC+MAPPING
8 N ISOMETRY 632984 3% 77% 10 Search N+ISOMETRY Search N+ISOMETRY
9 PROBABILISTIC NORMED SPACE 601864 4% 46% 16 Search PROBABILISTIC+NORMED+SPACE Search PROBABILISTIC+NORMED+SPACE
10 EPSILON LAMBDA TOPOLOGY 576020 2% 100% 7 Search EPSILON+LAMBDA+TOPOLOGY Search EPSILON+LAMBDA+TOPOLOGY

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 3367 HYERS ULAM STABILITY//HYERS ULAM RASSIAS STABILITY//GENERALIZED HYERS ULAM STABILITY
2 9262 PRESERVERS//LINEAR PRESERVER//ADDITIVE PRESERVER
3 11663 DAUGAVET PROPERTY//NUMERICAL INDEX//BISHOP PHELPS BOLLOBAS THEOREM
4 33270 SYST VNIISI//PURE PSEUDOREPRESENTATION//VNIISI
5 30788 QUASIPARALLEL LINES//QUASIPARALLEL PLANES//SLIT SPACE
6 38315 CONFORMAL TYPE OF A MANIFOLD//DE FRANCHIS THEOREM//CONFORMAL AUTOMORPHISM
7 14639 ASYMPTOTIC DIMENSION//COARSE GEOMETRY//COARSE EMBEDDING
8 6255 STATISTICAL CONVERGENCE//DOUBLE SEQUENCES//MATRIX TRANSFORMATIONS
9 38024 C ALPHA TRACE PROBLEM//FEDERAT DENIS POISSONUMR 6083//MATH PHYS THEORFEDERAT DENIS POISSON
10 25574 ORTHOGONALITY PRESERVING MAPPINGS//BIRKHOFF JAMES ORTHOGONALITY//DUNKL WILLIAMS INEQUALITY

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