Class information for:
Level 1: SOBOLEV TRACE EMBEDDING//TWO PHASE CONDUCTORS//REARRANGEMENTS OF A 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
72 3       MATHEMATICS//MATHEMATICS, APPLIED//MATH 87385
1402 2             HOMOGENIZATION//TWO SCALE CONVERGENCE//MATHEMATICS 8284
25733 1                   SOBOLEV TRACE EMBEDDING//TWO PHASE CONDUCTORS//REARRANGEMENTS OF A FUNCTION 295

Terms with highest relevance score


rank Category termType chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 SOBOLEV TRACE EMBEDDING authKW 525957 3% 62% 8
2 TWO PHASE CONDUCTORS authKW 445149 2% 83% 5
3 REARRANGEMENTS OF A FUNCTION authKW 427345 1% 100% 4
4 NANOSTRUCTURED QUANTUM DOTS authKW 320509 1% 100% 3
5 STEKLOV EIGENVALUES authKW 240374 2% 38% 6
6 BAROTROPIC VORTICITY EQUATION authKW 222570 2% 42% 5
7 EIGENVALUE OPTIMIZATION PROBLEMS authKW 213672 1% 100% 2
8 LOW CONTRAST REGIME authKW 213672 1% 100% 2
9 MINIMIZATION AND MAXIMIZATION PROBLEMS authKW 213672 1% 100% 2
10 PSEUDO ADVECTION authKW 213672 1% 100% 2

Web of Science journal categories


chi_square_rank Category chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 Mathematics, Applied 9428 70% 0% 207
2 Mathematics 4129 51% 0% 151
3 Mechanics 103 7% 0% 22
4 Physics, Mathematical 74 5% 0% 15
5 Automation & Control Systems 36 3% 0% 8
6 Multidisciplinary Sciences 31 2% 0% 6
7 Physics, Fluids & Plasmas 31 3% 0% 9
8 Mathematics, Interdisciplinary Applications 8 2% 0% 5
9 Computer Science, Interdisciplinary Applications 4 2% 0% 5
10 Operations Research & Management Science 2 1% 0% 3

Address terms


chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 HBERIECH MATH INFORMAT 53417 0% 50% 1
2 URMCS 53417 0% 50% 1
3 INFORMAT MATH COMP SCI 35611 0% 33% 1
4 LANGAL 35611 0% 33% 1
5 MATEMAT FCEN 26708 0% 25% 1
6 IMDEA MATEMAT 25134 1% 12% 2
7 MODELAMIENTO MATEMATUMI 2807 21366 0% 20% 1
8 PROJET SYDOCO 17804 0% 17% 1
9 METROL OPT 15261 0% 14% 1
10 IMAS CONICET 12946 1% 6% 2

Journals


chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A-MATHEMATICS 11769 6% 1% 17
2 APPLIED MATHEMATICS AND OPTIMIZATION 9377 3% 1% 10
3 ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS 4754 4% 0% 12
4 ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS 4052 3% 0% 10
5 NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS 3486 7% 0% 20
6 VESTNIK LENINGRADSKOGO UNIVERSITETA SERIYA MATEMATIKA MEKHANIKA ASTRONOMIYA 3147 1% 1% 3
7 RAIRO-MATHEMATICAL MODELLING AND NUMERICAL ANALYSIS-MODELISATION MATHEMATIQUE ET ANALYSE NUMERIQUE 2540 1% 1% 2
8 COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS 2117 2% 0% 7
9 RAIRO-ANALYSE NUMERIQUE-NUMERICAL ANALYSIS 1462 0% 1% 1
10 PROCEEDINGS OF THE ROYAL SOCIETY OF LONDON SERIES A-MATHEMATICAL AND PHYSICAL SCIENCES 1392 1% 0% 3

Author Key Words


chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass LCSH search Wikipedia search
1 SOBOLEV TRACE EMBEDDING 525957 3% 62% 8 Search SOBOLEV+TRACE+EMBEDDING Search SOBOLEV+TRACE+EMBEDDING
2 TWO PHASE CONDUCTORS 445149 2% 83% 5 Search TWO+PHASE+CONDUCTORS Search TWO+PHASE+CONDUCTORS
3 REARRANGEMENTS OF A FUNCTION 427345 1% 100% 4 Search REARRANGEMENTS+OF+A+FUNCTION Search REARRANGEMENTS+OF+A+FUNCTION
4 NANOSTRUCTURED QUANTUM DOTS 320509 1% 100% 3 Search NANOSTRUCTURED+QUANTUM+DOTS Search NANOSTRUCTURED+QUANTUM+DOTS
5 STEKLOV EIGENVALUES 240374 2% 38% 6 Search STEKLOV+EIGENVALUES Search STEKLOV+EIGENVALUES
6 BAROTROPIC VORTICITY EQUATION 222570 2% 42% 5 Search BAROTROPIC+VORTICITY+EQUATION Search BAROTROPIC+VORTICITY+EQUATION
7 EIGENVALUE OPTIMIZATION PROBLEMS 213672 1% 100% 2 Search EIGENVALUE+OPTIMIZATION+PROBLEMS Search EIGENVALUE+OPTIMIZATION+PROBLEMS
8 LOW CONTRAST REGIME 213672 1% 100% 2 Search LOW+CONTRAST+REGIME Search LOW+CONTRAST+REGIME
9 MINIMIZATION AND MAXIMIZATION PROBLEMS 213672 1% 100% 2 Search MINIMIZATION+AND+MAXIMIZATION+PROBLEMS Search MINIMIZATION+AND+MAXIMIZATION+PROBLEMS
10 PSEUDO ADVECTION 213672 1% 100% 2 Search PSEUDO+ADVECTION Search PSEUDO+ADVECTION

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 28906 VORTEX CELLS//FREE STREAMLINE THEORY//C LMAX
2 19790 STEINER SYMMETRIZATION//POLYA SZEGO INEQUALITY//ISOPERIMETRIC INEQUALITY
3 13647 OVERDETERMINED PROBLEMS//OVERDETERMINED BOUNDARY VALUE PROBLEMS//CONSTANT RANK THEOREM
4 19301 CONTROL IN COEFFICIENTS//VARYING DOMAINS//LAVRENTIEFF PHENOMENON
5 20023 VORTEX RING//VORTEX RING IN WATER//AERONAUT S BIOENGN
6 28636 AEROELASTIC MODES//ROOT VECTORS//CONVOLUTION INTEGRAL OPERATOR
7 1634 P LAPLACIAN//CRITICAL GROUPS//NONLINEAR REGULARITY
8 33645 CUICBAS//INHOMOGENEOUS STRING//EXTREMAL EIGENVALUE
9 11791 RENORMALIZED SOLUTIONS//L 1 DATA//RELATIVE REARRANGEMENT
10 23270 WENTZELL BOUNDARY CONDITIONS//DYNAMICAL BOUNDARY CONDITIONS//EXTERIOR REGIONS

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