Class information for:
Level 1: STEINER SYMMETRIZATION//POLYA SZEGO INEQUALITY//ISOPERIMETRIC 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
72 3       MATHEMATICS//MATHEMATICS, APPLIED//MATH 87385
1402 2             HOMOGENIZATION//TWO SCALE CONVERGENCE//MATHEMATICS 8284
19790 1                   STEINER SYMMETRIZATION//POLYA SZEGO INEQUALITY//ISOPERIMETRIC INEQUALITY 512

Terms with highest relevance score



rank Category termType chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 STEINER SYMMETRIZATION authKW 317477 3% 37% 14
2 POLYA SZEGO INEQUALITY authKW 303035 2% 62% 8
3 ISOPERIMETRIC INEQUALITY authKW 301602 8% 12% 41
4 SYMMETRIZATION authKW 285718 6% 15% 31
5 DIPARTIMENTO MATEMAT PLICAZ R CACCIOPPOLI address 265193 9% 9% 46
6 RELATIVE ISOPERIMETRIC INEQUALITIES authKW 246221 1% 100% 4
7 ISOPERIMETRIC authKW 225688 2% 33% 11
8 WULFF SHAPES authKW 201448 1% 55% 6
9 EXISTENCE OF OPTIMAL SETS authKW 184666 1% 100% 3
10 FENCING PROBLEMS authKW 184666 1% 100% 3

Web of Science journal categories



chi_square_rank Category chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 Mathematics 20303 85% 0% 435
2 Mathematics, Applied 5802 42% 0% 217
3 Statistics & Probability 22 2% 0% 11
4 Automation & Control Systems 4 1% 0% 5
5 Mechanics 1 2% 0% 8
6 Robotics 1 0% 0% 1
7 Physics, Mathematical 0 1% 0% 5
8 Remote Sensing 0 0% 0% 1
9 Operations Research & Management Science -0 0% 0% 2
10 Computer Science, Software Engineering -0 0% 0% 2

Address terms



chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 DIPARTIMENTO MATEMAT PLICAZ R CACCIOPPOLI 265193 9% 9% 46
2 PROBABILITES UMR6632 123110 0% 100% 2
3 HUE GEOMETRY GRP 82072 0% 67% 2
4 DIPARTIMENTO MATEMAT LICAZ R CACCIOPPOLI 61555 0% 100% 1
5 KWANACK GU 61555 0% 100% 1
6 MATIQUES PLIQU 61555 0% 100% 1
7 ST PETERSBURG BRANCHM 61555 0% 100% 1
8 UR MATH FSTC 61555 0% 100% 1
9 FIS INFORMAT MATEMAT 50359 1% 27% 3
10 DIPARTIMENTO MATEMAT PLICAZ ARCHITETTURA 41026 1% 11% 6

Journals



chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS 34472 6% 2% 31
2 ADVANCES IN CALCULUS OF VARIATIONS 9608 1% 3% 5
3 JOURNAL OF GEOMETRIC ANALYSIS 8779 2% 1% 12
4 ANNALES DE L INSTITUT HENRI POINCARE-ANALYSE NON LINEAIRE 8153 3% 1% 13
5 RENDICONTI LINCEI-MATEMATICA E APPLICAZIONI 7278 1% 2% 6
6 JOURNAL OF THE EUROPEAN MATHEMATICAL SOCIETY 6702 2% 1% 9
7 COMMUNICATIONS IN ANALYSIS AND GEOMETRY 3483 1% 1% 6
8 ANNALS OF GLOBAL ANALYSIS AND GEOMETRY 3297 1% 1% 7
9 INDIANA UNIVERSITY MATHEMATICS JOURNAL 3110 2% 0% 11
10 POTENTIAL ANALYSIS 2898 1% 1% 7

Author Key Words



chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass LCSH search Wikipedia search
1 STEINER SYMMETRIZATION 317477 3% 37% 14 Search STEINER+SYMMETRIZATION Search STEINER+SYMMETRIZATION
2 POLYA SZEGO INEQUALITY 303035 2% 62% 8 Search POLYA+SZEGO+INEQUALITY Search POLYA+SZEGO+INEQUALITY
3 ISOPERIMETRIC INEQUALITY 301602 8% 12% 41 Search ISOPERIMETRIC+INEQUALITY Search ISOPERIMETRIC+INEQUALITY
4 SYMMETRIZATION 285718 6% 15% 31 Search SYMMETRIZATION Search SYMMETRIZATION
5 RELATIVE ISOPERIMETRIC INEQUALITIES 246221 1% 100% 4 Search RELATIVE+ISOPERIMETRIC+INEQUALITIES Search RELATIVE+ISOPERIMETRIC+INEQUALITIES
6 ISOPERIMETRIC 225688 2% 33% 11 Search ISOPERIMETRIC Search ISOPERIMETRIC
7 WULFF SHAPES 201448 1% 55% 6 Search WULFF+SHAPES Search WULFF+SHAPES
8 EXISTENCE OF OPTIMAL SETS 184666 1% 100% 3 Search EXISTENCE+OF+OPTIMAL+SETS Search EXISTENCE+OF+OPTIMAL+SETS
9 FENCING PROBLEMS 184666 1% 100% 3 Search FENCING+PROBLEMS Search FENCING+PROBLEMS
10 MANIFOLDS WITH DENSITY 170982 1% 56% 5 Search MANIFOLDS+WITH+DENSITY Search MANIFOLDS+WITH+DENSITY

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 18848 UNIVERSAL INEQUALITIES//EIGENVALUE RATIO//LIEB THIRRING INEQUALITIES
2 27485 1 LAPLACIAN//RELATIVISTIC HEAT EQUATION//FLUX LIMITED DIFFUSION EQUATIONS
3 11791 RENORMALIZED SOLUTIONS//L 1 DATA//RELATIVE REARRANGEMENT
4 25733 SOBOLEV TRACE EMBEDDING//TWO PHASE CONDUCTORS//REARRANGEMENTS OF A FUNCTION
5 13287 RENORMALIZED FUNCTIONAL//DE GIORGI CONJECTURE//ALLEN CAHN EQUATION
6 13647 OVERDETERMINED PROBLEMS//OVERDETERMINED BOUNDARY VALUE PROBLEMS//CONSTANT RANK THEOREM
7 4226 CONVEX BODY//STAR BODY//INTERSECTION BODY
8 12911 LOGARITHMIC SOBOLEV INEQUALITY//SUPER POINCARE INEQUALITY//LOGARITHMIC SOBOLEV INEQUALITIES
9 19301 CONTROL IN COEFFICIENTS//VARYING DOMAINS//LAVRENTIEFF PHENOMENON
10 25131 CONDENSER CAPACITY//CIRCULAR SYMMETRIZATION//LINDELOF PRINCIPLE

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