Class information for:
Level 1: OVERDETERMINED PROBLEMS//OVERDETERMINED BOUNDARY VALUE PROBLEMS//CONSTANT RANK 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
72 3       MATHEMATICS//MATHEMATICS, APPLIED//MATH 87385
1402 2             HOMOGENIZATION//TWO SCALE CONVERGENCE//MATHEMATICS 8284
13647 1                   OVERDETERMINED PROBLEMS//OVERDETERMINED BOUNDARY VALUE PROBLEMS//CONSTANT RANK THEOREM 853

Terms with highest relevance score



rank Category termType chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 OVERDETERMINED PROBLEMS authKW 887424 4% 69% 35
2 OVERDETERMINED BOUNDARY VALUE PROBLEMS authKW 272059 1% 82% 9
3 CONSTANT RANK THEOREM authKW 258627 1% 100% 7
4 FREE BOUNDARY authKW 252611 8% 10% 69
5 POWER CONCAVITY authKW 184734 1% 100% 5
6 FREE BOUNDARY PROBLEM authKW 175456 8% 7% 68
7 CONVEXITY OF LEVEL SETS authKW 147787 0% 100% 4
8 MINIMAL UNFOLDED REGION authKW 147787 0% 100% 4
9 RADIAL CENTER authKW 147787 0% 100% 4
10 MONOTONICITY FORMULA authKW 145820 2% 26% 15

Web of Science journal categories



chi_square_rank Category chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 Mathematics 27164 76% 0% 651
2 Mathematics, Applied 18248 58% 0% 492
3 Mechanics 65 4% 0% 35
4 Automation & Control Systems 11 1% 0% 10
5 Statistics & Probability 10 1% 0% 12
6 Education, Scientific Disciplines 8 1% 0% 6
7 Physics, Mathematical 5 1% 0% 12
8 Engineering, General 0 1% 0% 5
9 History & Philosophy of Science -0 0% 0% 1
10 Operations Research & Management Science -0 0% 0% 3

Address terms



chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 DIPARTIMENTO MATEMAT U DINI 44291 3% 5% 24
2 DIMAI MATEMAT INFORMAT U DINI 36947 0% 100% 1
3 DIMAL DIPARTIMENTO MATEMAT INFORMAT U DINI 36947 0% 100% 1
4 DIP MATEMAT INFORMAT DINI 36947 0% 100% 1
5 GLOBAL MODELING ANALYT 36947 0% 100% 1
6 HILL RUTGERS 36947 0% 100% 1
7 JOHANN RADON ANGEW MATH 36947 0% 100% 1
8 MATEMATIIKAN TILASTOTIETEEN LAITOS 36947 0% 100% 1
9 RICHLAND RICHLAND 36947 0% 100% 1
10 LICACAO FERNANDO RODRIGUES SILVEIRA 29555 0% 40% 2

Journals



chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 INTERFACES AND FREE BOUNDARIES 39898 2% 6% 19
2 CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS 18082 3% 2% 29
3 COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS 16311 4% 1% 33
4 COMMUNICATIONS ON PURE AND APPLIED MATHEMATICS 14083 3% 2% 25
5 INDIANA UNIVERSITY MATHEMATICS JOURNAL 13924 4% 1% 30
6 NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS 9447 7% 0% 56
7 ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK 9313 3% 1% 26
8 ANNALI DI MATEMATICA PURA ED APPLICATA 7166 2% 1% 17
9 ANNALES DE L INSTITUT HENRI POINCARE-ANALYSE NON LINEAIRE 6506 2% 1% 15
10 ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS 5593 2% 1% 20

Author Key Words



chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass LCSH search Wikipedia search
1 OVERDETERMINED PROBLEMS 887424 4% 69% 35 Search OVERDETERMINED+PROBLEMS Search OVERDETERMINED+PROBLEMS
2 OVERDETERMINED BOUNDARY VALUE PROBLEMS 272059 1% 82% 9 Search OVERDETERMINED+BOUNDARY+VALUE+PROBLEMS Search OVERDETERMINED+BOUNDARY+VALUE+PROBLEMS
3 CONSTANT RANK THEOREM 258627 1% 100% 7 Search CONSTANT+RANK+THEOREM Search CONSTANT+RANK+THEOREM
4 FREE BOUNDARY 252611 8% 10% 69 Search FREE+BOUNDARY Search FREE+BOUNDARY
5 POWER CONCAVITY 184734 1% 100% 5 Search POWER+CONCAVITY Search POWER+CONCAVITY
6 FREE BOUNDARY PROBLEM 175456 8% 7% 68 Search FREE+BOUNDARY+PROBLEM Search FREE+BOUNDARY+PROBLEM
7 CONVEXITY OF LEVEL SETS 147787 0% 100% 4 Search CONVEXITY+OF+LEVEL+SETS Search CONVEXITY+OF+LEVEL+SETS
8 MINIMAL UNFOLDED REGION 147787 0% 100% 4 Search MINIMAL+UNFOLDED+REGION Search MINIMAL+UNFOLDED+REGION
9 RADIAL CENTER 147787 0% 100% 4 Search RADIAL+CENTER Search RADIAL+CENTER
10 MONOTONICITY FORMULA 145820 2% 26% 15 Search MONOTONICITY+FORMULA Search MONOTONICITY+FORMULA

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 20035 QUADRATURE DOMAIN//HELE SHAW FLOW//MOTHER BODY
2 11391 MONGE AMPERE EQUATION//FULLY NONLINEAR EQUATIONS//HESSIAN EQUATIONS
3 25733 SOBOLEV TRACE EMBEDDING//TWO PHASE CONDUCTORS//REARRANGEMENTS OF A FUNCTION
4 19790 STEINER SYMMETRIZATION//POLYA SZEGO INEQUALITY//ISOPERIMETRIC INEQUALITY
5 18685 TOPOLOGICAL DERIVATIVE//TOPOLOGICAL GRADIENT//SHAPE CALCULUS
6 12040 LIPSCHITZ DOMAINS//LAYER POTENTIALS//LAYER POTENTIAL OPERATORS
7 22094 INFINITY LAPLACIAN//SUPREMAL FUNCTIONALS//TUG OF WAR GAMES
8 22792 POMPEIU PROBLEM//POMPEIU PROPERTY//SCHIFFERS CONJECTURE
9 38855 SYMMETRY PROBLEMS//FOURIER TRANSFORMS OF CHARACTERISTIC SETS//OVER DETERMINED BOUNDARY VALUE PROBLEMS
10 19301 CONTROL IN COEFFICIENTS//VARYING DOMAINS//LAVRENTIEFF PHENOMENON

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