Class information for:
Level 1: P REGULARITY//ABNORMAL POINT//P FACTOR OPERATOR

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
27651 1                   P REGULARITY//ABNORMAL POINT//P FACTOR OPERATOR 244

Terms with highest relevance score


rank Category termType chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 P REGULARITY authKW 1740352 7% 84% 16
2 ABNORMAL POINT authKW 1291672 4% 100% 10
3 P FACTOR OPERATOR authKW 904170 3% 100% 7
4 CONICAL APPROXIMATIONS authKW 645836 2% 100% 5
5 DUBOVITSKII MILYUTIN THEOREM authKW 461308 2% 71% 5
6 2 REGULARITY authKW 459252 3% 44% 8
7 DISTRIBUTED CONTROL PROBLEMS authKW 413333 2% 80% 4
8 LUSTERNIK THEOREM authKW 413333 2% 80% 4
9 LYUSTERNIK THEOREM authKW 403644 2% 63% 5
10 2 NORMAL MAPPING authKW 387501 1% 100% 3

Web of Science journal categories


chi_square_rank Category chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 Mathematics, Applied 5628 60% 0% 146
2 Mathematics 3198 50% 0% 121
3 Automation & Control Systems 1612 17% 0% 42
4 Operations Research & Management Science 545 11% 0% 27
5 Physics, Mathematical 81 6% 0% 14
6 Multidisciplinary Sciences 76 3% 0% 8
7 COMPUTER APPLICATIONS & CYBERNETICS 47 0% 0% 1
8 Computer Science, Information Systems 4 2% 0% 4
9 Computer Science, Artificial Intelligence 3 2% 0% 4
10 Computer Science, Cybernetics 3 0% 0% 1

Address terms


chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 DIFFERENT EQUAT FUNCT ANAL 258334 1% 100% 2
2 DORONICYN COMP 258334 1% 100% 2
3 DORODNICYN COMP 132249 11% 4% 26
4 COMPUTAT TECHNOL SB RAS 64583 0% 50% 1
5 ECON METODOS CUANTITATIVOS H ECON 64583 0% 50% 1
6 DIFFERENTIAL EQUAT FUNCT ANAL 51664 1% 20% 2
7 SYST 35147 12% 1% 30
8 DORODNITSYN COMP 30454 2% 5% 5
9 AREA ESTADIST INVEST OPERAT 30389 1% 12% 2
10 SYST SCI MATH 19945 2% 3% 6

Journals


chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 IMA JOURNAL OF MATHEMATICAL CONTROL AND INFORMATION 61149 7% 3% 18
2 DOKLADY MATHEMATICS 16290 8% 1% 20
3 COMPUTATIONAL MATHEMATICS AND MATHEMATICAL PHYSICS 11261 5% 1% 13
4 MATEKON 6796 0% 5% 1
5 USSR COMPUTATIONAL MATHEMATICS AND MATHEMATICAL PHYSICS 6147 2% 1% 6
6 JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS 5600 6% 0% 15
7 ARCHIVES OF CONTROL SCIENCES 4693 1% 2% 2
8 NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS 3046 7% 0% 17
9 PROCEEDINGS OF THE STEKLOV INSTITUTE OF MATHEMATICS 2884 2% 0% 5
10 MATHEMATISCHE NACHRICHTEN 2518 4% 0% 9

Author Key Words


chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass LCSH search Wikipedia search
1 P REGULARITY 1740352 7% 84% 16 Search P+REGULARITY Search P+REGULARITY
2 ABNORMAL POINT 1291672 4% 100% 10 Search ABNORMAL+POINT Search ABNORMAL+POINT
3 P FACTOR OPERATOR 904170 3% 100% 7 Search P+FACTOR+OPERATOR Search P+FACTOR+OPERATOR
4 CONICAL APPROXIMATIONS 645836 2% 100% 5 Search CONICAL+APPROXIMATIONS Search CONICAL+APPROXIMATIONS
5 DUBOVITSKII MILYUTIN THEOREM 461308 2% 71% 5 Search DUBOVITSKII+MILYUTIN+THEOREM Search DUBOVITSKII+MILYUTIN+THEOREM
6 2 REGULARITY 459252 3% 44% 8 Search 2+REGULARITY Search 2+REGULARITY
7 DISTRIBUTED CONTROL PROBLEMS 413333 2% 80% 4 Search DISTRIBUTED+CONTROL+PROBLEMS Search DISTRIBUTED+CONTROL+PROBLEMS
8 LUSTERNIK THEOREM 413333 2% 80% 4 Search LUSTERNIK+THEOREM Search LUSTERNIK+THEOREM
9 LYUSTERNIK THEOREM 403644 2% 63% 5 Search LYUSTERNIK+THEOREM Search LYUSTERNIK+THEOREM
10 2 NORMAL MAPPING 387501 1% 100% 3 Search 2+NORMAL+MAPPING Search 2+NORMAL+MAPPING

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 21735 NORMAL NECESSARY CONDITIONS//EULER LAGRANGE CONDITION//PROPER RELAXATION PROCEDURES
2 3164 METRIC REGULARITY//CODERIVATIVE//VARIATIONAL ANALYSIS
3 33313 JOURNAL OF COMPUTER AND SYSTEMS SCIENCES INTERNATIONAL//ACTUAL COMPUTING WORKLOAD//AEROKOSMOS
4 25176 TWO PARAMETER EIGENVALUE PROBLEM//MULTIPARAMETER EIGENVALUE PROBLEM//QUADRATIC TWO PARAMETER EIGENVALUE PROBLEM
5 33204 LOCALLY ANALYTIC VECTOR VALUED FUNCTION//DIFFERENTIAL EQUATION IN A BANACH SPACE//ENTIRE VECTOR OF A CLOSED OPERATOR
6 33166 CONTROLLABILITY PROBLEM//HALF AXIS//INFLUENCE OPERATOR
7 15841 IMPLICITLY DEFINED CURVE//BIALTERNATE PRODUCT//UNILATERAL DYNAMIC CONTACT
8 19571 JOURNAL OF GUIDANCE AND CONTROL//JOURNAL OF GUIDANCE CONTROL AND DYNAMICS//JOURNAL OF INTERDISCIPLINARY MODELING AND SIMULATION
9 35842 MULTITIME MAXIMUM PRINCIPLE//MATH INFORMAT 1//MULTITIME DYNAMIC PROGRAMMING
10 38138 NONLOCAL LATTICES//NUMERIC PARTIAL DIFFERENTIATION//DISCRETE DIFFERENTIATION

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