Class information for:
Level 1: NORMAL NECESSARY CONDITIONS//EULER LAGRANGE CONDITION//PROPER RELAXATION PROCEDURES

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
587 3       PROPER ORTHOGONAL DECOMPOSITION//SIAM JOURNAL ON CONTROL AND OPTIMIZATION//DISTRIBUTED PARAMETER SYSTEMS 15113
2773 2             CONTROL SETS//OPTIMAL CONTROL//OCCUPATIONAL MEASURES 3387
21735 1                   NORMAL NECESSARY CONDITIONS//EULER LAGRANGE CONDITION//PROPER RELAXATION PROCEDURES 431

Terms with highest relevance score



rank Category termType chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 NORMAL NECESSARY CONDITIONS authKW 438744 1% 100% 6
2 EULER LAGRANGE CONDITION authKW 376064 1% 86% 6
3 PROPER RELAXATION PROCEDURES authKW 376064 1% 86% 6
4 CRITICAL TANGENT CONE authKW 365620 1% 100% 5
5 LOCALLY ADJOINT MAPPINGS authKW 365620 1% 100% 5
6 SET VALUED CONSTRAINTS authKW 365620 1% 100% 5
7 DISCRETE APPROXIMATIONS authKW 333290 3% 33% 14
8 DISCRETE AND DIFFERENTIAL INCLUSIONS authKW 292496 1% 100% 4
9 NONCONVEX DIFFERENTIAL INCLUSION authKW 292496 1% 100% 4
10 CONVEX PROCESS authKW 282039 2% 43% 9

Web of Science journal categories



chi_square_rank Category chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 Mathematics, Applied 12025 66% 0% 283
2 Automation & Control Systems 6245 25% 0% 109
3 Mathematics 3008 37% 0% 158
4 Operations Research & Management Science 1554 14% 0% 60
5 COMPUTER APPLICATIONS & CYBERNETICS 438 1% 0% 4
6 Computer Science, Cybernetics 297 3% 0% 11
7 Multidisciplinary Sciences 94 3% 0% 12
8 Instruments & Instrumentation 24 3% 0% 14
9 Mechanics 2 2% 0% 8
10 Computer Science, Information Systems 2 1% 0% 5

Address terms



chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 SYSTEC ISR 97497 0% 67% 2
2 CNRSIMJ PRGUMR 7586SORBONNE PARIS CITE 73124 0% 100% 1
3 DEEC ISR 73124 0% 100% 1
4 INS SISTEMAS ROBOT 73124 0% 100% 1
5 MATH CONTROL PROBLEMS 73124 0% 100% 1
6 PHYS MATH BIAS 73124 0% 100% 1
7 PL COMP M PICONE 73124 0% 100% 1
8 RECH V ILITE 73124 0% 100% 1
9 SISTEMAS ROB 73124 0% 100% 1
10 SYSTEC ENGN 73124 0% 100% 1

Journals



chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 SIAM JOURNAL ON CONTROL AND OPTIMIZATION 52752 12% 1% 52
2 SET-VALUED AND VARIATIONAL ANALYSIS 17065 2% 3% 8
3 JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS 13552 7% 1% 31
4 SET-VALUED ANALYSIS 10977 2% 2% 7
5 APPLIED MATHEMATICS AND OPTIMIZATION 7760 3% 1% 11
6 CONTROL AND CYBERNETICS 7343 2% 1% 8
7 DIFFERENTIAL EQUATIONS 6081 4% 0% 18
8 JOURNAL OF DYNAMICAL AND CONTROL SYSTEMS 5637 1% 1% 6
9 NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS 5015 7% 0% 29
10 JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS 4883 9% 0% 38

Author Key Words



chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass LCSH search Wikipedia search
1 NORMAL NECESSARY CONDITIONS 438744 1% 100% 6 Search NORMAL+NECESSARY+CONDITIONS Search NORMAL+NECESSARY+CONDITIONS
2 EULER LAGRANGE CONDITION 376064 1% 86% 6 Search EULER+LAGRANGE+CONDITION Search EULER+LAGRANGE+CONDITION
3 PROPER RELAXATION PROCEDURES 376064 1% 86% 6 Search PROPER+RELAXATION+PROCEDURES Search PROPER+RELAXATION+PROCEDURES
4 CRITICAL TANGENT CONE 365620 1% 100% 5 Search CRITICAL+TANGENT+CONE Search CRITICAL+TANGENT+CONE
5 LOCALLY ADJOINT MAPPINGS 365620 1% 100% 5 Search LOCALLY+ADJOINT+MAPPINGS Search LOCALLY+ADJOINT+MAPPINGS
6 SET VALUED CONSTRAINTS 365620 1% 100% 5 Search SET+VALUED+CONSTRAINTS Search SET+VALUED+CONSTRAINTS
7 DISCRETE APPROXIMATIONS 333290 3% 33% 14 Search DISCRETE+APPROXIMATIONS Search DISCRETE+APPROXIMATIONS
8 DISCRETE AND DIFFERENTIAL INCLUSIONS 292496 1% 100% 4 Search DISCRETE+AND+DIFFERENTIAL+INCLUSIONS Search DISCRETE+AND+DIFFERENTIAL+INCLUSIONS
9 NONCONVEX DIFFERENTIAL INCLUSION 292496 1% 100% 4 Search NONCONVEX+DIFFERENTIAL+INCLUSION Search NONCONVEX+DIFFERENTIAL+INCLUSION
10 CONVEX PROCESS 282039 2% 43% 9 Search CONVEX+PROCESS Search CONVEX+PROCESS

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 6236 VISCOSITY SOLUTIONS//HAMILTON JACOBI EQUATION//VISCOSITY SOLUTION
2 3164 METRIC REGULARITY//CODERIVATIVE//VARIATIONAL ANALYSIS
3 14456 SWEEPING PROCESS//DIFFERENTIAL INCLUSIONS//CONTINUOUS SELECTOR
4 22881 OCCUPATIONAL MEASURES//CONTROL SETS//APPROXIMATION OF SLOW MOTIONS
5 24472 REGULAR SYNTHESIS//HAMILTONIAN METHODS//ANGEW MATH WISSEN RECHNEN
6 27651 P REGULARITY//ABNORMAL POINT//P FACTOR OPERATOR
7 6233 STATE CONSTRAINTS//OPTIMAL CONTROL PROBLEM//ETSI IND TELECOMUNICAC
8 16819 TIME SCALING TRANSFORMATION//SAKAWA SHINDO METHOD//OPTIMAL CONTROL
9 38402 ATTAINABLE STATES//CONTROLLABILITY SET//DEPENDENCE OF CONTROL SYSTEMS ON A PARAMETER
10 35842 MULTITIME MAXIMUM PRINCIPLE//MATH INFORMAT 1//MULTITIME DYNAMIC PROGRAMMING

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