Class information for:
Level 1: SYMMETRIC DUALITY//DUALITY THEOREMS//GENERALIZED CONVEXITY

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
199 3       MATHEMATICS, APPLIED//FIXED POINT//MATHEMATICS 52882
101 2             JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS//MATHEMATICS, APPLIED//GLOBAL CONVERGENCE 25884
8112 1                   SYMMETRIC DUALITY//DUALITY THEOREMS//GENERALIZED CONVEXITY 1314

Terms with highest relevance score


rank Category termType chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 SYMMETRIC DUALITY authKW 983334 3% 100% 41
2 DUALITY THEOREMS authKW 854495 4% 76% 47
3 GENERALIZED CONVEXITY authKW 833544 6% 41% 84
4 INVEXITY authKW 822776 3% 84% 41
5 EFFICIENT SOLUTION authKW 764477 7% 37% 86
6 MULTIOBJECTIVE PROGRAMMING authKW 721381 7% 32% 95
7 SECOND ORDER DUALITY authKW 671545 2% 100% 28
8 INVEX FUNCTIONS authKW 559064 2% 90% 26
9 PSEUDOINVEXITY authKW 483669 2% 92% 22
10 MULTIOBJECTIVE FRACTIONAL PROGRAMMING authKW 460478 2% 80% 24

Web of Science journal categories


chi_square_rank Category chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 Mathematics, Applied 43776 72% 0% 941
2 Operations Research & Management Science 31739 35% 0% 463
3 Mathematics 10638 39% 0% 517
4 Statistics & Probability 122 3% 0% 38
5 Computer Science, Cybernetics 101 1% 0% 12
6 Mathematics, Interdisciplinary Applications 51 2% 0% 25
7 Computer Science, Software Engineering 43 2% 0% 24
8 Engineering, General 8 1% 0% 15
9 Computer Science, Interdisciplinary Applications 5 1% 0% 16
10 Automation & Control Systems 3 1% 0% 10

Address terms


chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 SCI JURIDUQUES ECON SOCIALES 71951 0% 100% 3
2 MATH STAT C SC 47967 0% 100% 2
3 CIENCIAS SOCIALES COMUNICAC 43844 1% 23% 8
4 ECON METODOS CUANTITAT H ECON 31977 0% 67% 2
5 ECON METODOS CUANTITAT HA ECON 30833 0% 43% 3
6 DAULAT RAM 29763 0% 21% 6
7 FREE MAJOR 26978 0% 38% 3
8 SATYAWATI 26978 0% 38% 3
9 AG ANDERSON MANAGEMENT 24659 0% 17% 6
10 BASIC SCI HUMANITIES 24623 2% 4% 24

Journals


chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS 86938 10% 3% 137
2 OPTIMIZATION LETTERS 45572 3% 4% 44
3 JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS 40709 15% 1% 191
4 JOURNAL OF GLOBAL OPTIMIZATION 36648 4% 3% 59
5 NUMERICAL FUNCTIONAL ANALYSIS AND OPTIMIZATION 21930 3% 2% 42
6 JOURNAL OF NONLINEAR AND CONVEX ANALYSIS 19975 2% 3% 27
7 ASIA-PACIFIC JOURNAL OF OPERATIONAL RESEARCH 17924 2% 3% 26
8 JOURNAL OF THE AUSTRALIAN MATHEMATICAL SOCIETY SERIES B-APPLIED MATHEMATICS 12539 1% 3% 18
9 INDIAN JOURNAL OF PURE & APPLIED MATHEMATICS 12193 3% 1% 39
10 MATHEMATICAL REPORTS 11645 1% 4% 12

Author Key Words


chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass LCSH search Wikipedia search
1 SYMMETRIC DUALITY 983334 3% 100% 41 Search SYMMETRIC+DUALITY Search SYMMETRIC+DUALITY
2 DUALITY THEOREMS 854495 4% 76% 47 Search DUALITY+THEOREMS Search DUALITY+THEOREMS
3 GENERALIZED CONVEXITY 833544 6% 41% 84 Search GENERALIZED+CONVEXITY Search GENERALIZED+CONVEXITY
4 INVEXITY 822776 3% 84% 41 Search INVEXITY Search INVEXITY
5 EFFICIENT SOLUTION 764477 7% 37% 86 Search EFFICIENT+SOLUTION Search EFFICIENT+SOLUTION
6 MULTIOBJECTIVE PROGRAMMING 721381 7% 32% 95 Search MULTIOBJECTIVE+PROGRAMMING Search MULTIOBJECTIVE+PROGRAMMING
7 SECOND ORDER DUALITY 671545 2% 100% 28 Search SECOND+ORDER+DUALITY Search SECOND+ORDER+DUALITY
8 INVEX FUNCTIONS 559064 2% 90% 26 Search INVEX+FUNCTIONS Search INVEX+FUNCTIONS
9 PSEUDOINVEXITY 483669 2% 92% 22 Search PSEUDOINVEXITY Search PSEUDOINVEXITY
10 MULTIOBJECTIVE FRACTIONAL PROGRAMMING 460478 2% 80% 24 Search MULTIOBJECTIVE+FRACTIONAL+PROGRAMMING Search MULTIOBJECTIVE+FRACTIONAL+PROGRAMMING

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 8065 VECTOR OPTIMIZATION//SET VALUED OPTIMIZATION//SET OPTIMIZATION
2 31176 CONTINUOUS TIME LINEAR PROGRAMMING PROBLEMS//CONTINUOUS LINEAR PROGRAMMING//DYNAMIC NETWORK FLOWS
3 35842 MULTITIME MAXIMUM PRINCIPLE//MATH INFORMAT 1//MULTITIME DYNAMIC PROGRAMMING
4 37558 ROUGH CONVEXITY//SELF JUNG CONSTANT//GAMMA CONVEX FUNCTIONS
5 10400 FITZPATRICK FUNCTION//ABSTRACT CONVEXITY//IRVING K BARBER
6 24525 HADAMARD MANIFOLD//RIEMANNIAN OPTIMIZATION//MONOTONE VECTOR FIELDS
7 3164 METRIC REGULARITY//CODERIVATIVE//VARIATIONAL ANALYSIS
8 16918 SEMI INFINITE PROGRAMMING//LINEAR INEQUALITY SYSTEMS//LINEAR SEMI INFINITE PROGRAMMING
9 23997 INTERVAL LINEAR SYSTEM//AE SOLUTION SETS//INTERVAL LINEAR EQUATIONS
10 2215 MINIMAX INEQUALITY//VECTOR VARIATIONAL INEQUALITY//VECTOR EQUILIBRIUM PROBLEM

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