Class information for:
Level 2: P REGULARITY//ABNORMAL POINT//P FACTOR OPERATOR

Basic class information
Class id #P Avg. number of
references		 Database coverage
of references
4124 557 14.5 21%


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
15 4 MATHEMATICS//MATHEMATICS, APPLIED//MATH 719832
244 3       MATHEMATICS, APPLIED//MATHEMATICS//BLOW UP 46988
4124 2             P REGULARITY//ABNORMAL POINT//P FACTOR OPERATOR 557
28238 1                   CONICAL APPROXIMATIONS//DUBOVITSKII MILYUTIN THEOREM//DISTRIBUTED CONTROL PROBLEMS 211
31974 1                   P REGULARITY//ABNORMAL POINT//P FACTOR OPERATOR 145
33884 1                   JOURNAL OF COMPUTER AND SYSTEMS SCIENCES INTERNATIONAL//ACTUAL COMPUTING WORKLOAD//AEROKOSMOS 119
36376 1                   RADIATION TRANSFER EQUATION//FRESNEL INTERFACE CONDITIONS//FRESNEL MATCHING CONDITIONS 82

Terms with highest relevance score


rank Term termType Chi square Shr. of publ. in
class containing
term		 Class's shr. of
term's tot. occurrences		 #P with
term in
class
1 P REGULARITY authKW 725555 3% 88% 15
2 ABNORMAL POINT authKW 548199 2% 100% 10
3 P FACTOR OPERATOR authKW 328920 1% 100% 6
4 CONICAL APPROXIMATIONS authKW 274100 1% 100% 5
5 JOURNAL OF COMPUTER AND SYSTEMS SCIENCES INTERNATIONAL journal 233797 12% 6% 67
6 DUBOVITSKII MILYUTIN THEOREM authKW 195783 1% 71% 5
7 2 REGULARITY authKW 194906 1% 44% 8
8 DISTRIBUTED CONTROL PROBLEMS authKW 175422 1% 80% 4
9 LUSTERNIK THEOREM authKW 175422 1% 80% 4
10 LYUSTERNIK THEOREM authKW 171309 1% 63% 5

Web of Science journal categories


Rank Term Chi square Shr. of publ. in
class containing
term		 Class's shr. of
term's tot. occurrences		 #P with
term in
class
1 Computer Science, Cybernetics 9132 12% 0% 67
2 Mathematics 5625 44% 0% 243
3 Mathematics, Applied 3108 30% 0% 168
4 Multidisciplinary Sciences 2931 12% 0% 69
5 Computer Science, Artificial Intelligence 1199 13% 0% 70
6 Computer Science, Theory & Methods 1037 12% 0% 69
7 Automation & Control Systems 976 9% 0% 50
8 COMPUTER APPLICATIONS & CYBERNETICS 328 1% 0% 4
9 Operations Research & Management Science 177 4% 0% 25
10 Physics, Mathematical 125 5% 0% 27

Address terms


Rank Term Chi square Shr. of publ. in
class containing
term		 Class's shr. of
term's tot. occurrences		 #P with
term in
class
1 DORODNICYN COMP 156145 8% 7% 42
2 DIFFERENT EQUAT FUNCT ANAL 109640 0% 100% 2
3 DORONICYN COMP 109640 0% 100% 2
4 AEROKOSMOS 54820 0% 100% 1
5 MATEM FAK 54820 0% 100% 1
6 MATH I HBEREICH MATH REGULARIZAT GRP 54820 0% 100% 1
7 TSIOLKOVSKII RUSSIAN STATE UNIV TECHNOL 54820 0% 100% 1
8 VOLZHSKII HUMANITARIAN 54820 0% 100% 1
9 CONCERN CSRI ELEKTROPRIBOR 36544 0% 33% 2
10 DORODNITSYN COMP 35786 1% 8% 8

Journals


Rank Term Chi square Shr. of publ. in
class containing
term		 Class's shr. of
term's tot. occurrences		 #P with
term in
class
1 JOURNAL OF COMPUTER AND SYSTEMS SCIENCES INTERNATIONAL 233797 12% 6% 67
2 IMA JOURNAL OF MATHEMATICAL CONTROL AND INFORMATION 27460 3% 3% 18
3 DIFFERENTIAL EQUATIONS 15970 6% 1% 33
4 PROGRAMMING AND COMPUTER SOFTWARE 14976 3% 2% 15
5 DOKLADY MATHEMATICS 12087 5% 1% 26
6 DOKLADY AKADEMII NAUK SSSR 7098 10% 0% 53
7 COMPUTATIONAL MATHEMATICS AND MATHEMATICAL PHYSICS 6696 3% 1% 15
8 MATHEMATICAL NOTES 6308 4% 0% 24
9 MATHEMATICS OF THE USSR-SBORNIK 5018 1% 1% 8
10 SOVIET JOURNAL OF COMPUTER AND SYSTEMS SCIENCES 4978 1% 3% 3

Author Key Words


Rank Term Chi square Shr. of publ. in
class containing
term		 Class's shr. of
term's tot. occurrences		 #P with
term in
class		 LCSH search Wikipedia search
1 P REGULARITY 725555 3% 88% 15 Search P+REGULARITY Search P+REGULARITY
2 ABNORMAL POINT 548199 2% 100% 10 Search ABNORMAL+POINT Search ABNORMAL+POINT
3 P FACTOR OPERATOR 328920 1% 100% 6 Search P+FACTOR+OPERATOR Search P+FACTOR+OPERATOR
4 CONICAL APPROXIMATIONS 274100 1% 100% 5 Search CONICAL+APPROXIMATIONS Search CONICAL+APPROXIMATIONS
5 DUBOVITSKII MILYUTIN THEOREM 195783 1% 71% 5 Search DUBOVITSKII+MILYUTIN+THEOREM Search DUBOVITSKII+MILYUTIN+THEOREM
6 2 REGULARITY 194906 1% 44% 8 Search 2+REGULARITY Search 2+REGULARITY
7 DISTRIBUTED CONTROL PROBLEMS 175422 1% 80% 4 Search DISTRIBUTED+CONTROL+PROBLEMS Search DISTRIBUTED+CONTROL+PROBLEMS
8 LUSTERNIK THEOREM 175422 1% 80% 4 Search LUSTERNIK+THEOREM Search LUSTERNIK+THEOREM
9 LYUSTERNIK THEOREM 171309 1% 63% 5 Search LYUSTERNIK+THEOREM Search LYUSTERNIK+THEOREM
10 2 NORMAL MAPPING 164460 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.


Rank Reference # ref.
in cl.		 Shr. of ref. in
cl.		 Citations
1 ESENKOV, AS , LEONOV, VY , TIZIK, AP , TSURKOV, VI , (2015) NONLINEAR INTEGER TRANSPORTATION PROBLEM WITH ADDITIONAL SUPPLY AND CONSUMPTION POINTS.JOURNAL OF COMPUTER AND SYSTEMS SCIENCES INTERNATIONAL. VOL. 54. ISSUE 1. P. 86 -92 17 100% 0
2 MALASHENKO, YE , NAZAROVA, IA , (2015) NORMATIVE DYNAMIC ANALYSIS OF EXTREME OPERATIONAL MODES OF A HETEROGENEOUS COMPUTING SYSTEM.JOURNAL OF COMPUTER AND SYSTEMS SCIENCES INTERNATIONAL. VOL. 54. ISSUE 5. P. 738 -753 17 100% 0
3 BAHAA, GM , (2012) OPTIMALITY CONDITIONS FOR INFINITE ORDER DISTRIBUTED PARABOLIC SYSTEMS WITH MULTIPLE TIME DELAYS GIVEN IN INTEGRAL FORM.JOURNAL OF APPLIED MATHEMATICS. VOL. . ISSUE . P. - 15 100% 1
4 ESENKOV, AS , KUZOVLEV, DI , LEONOV, VY , TIZIK, AP , TSURKOV, VI , (2014) NETWORK OPTIMIZATION AND PROBLEMS WITH COUPLING VARIABLES.JOURNAL OF COMPUTER AND SYSTEMS SCIENCES INTERNATIONAL. VOL. 53. ISSUE 3. P. 369 -383 14 100% 2
5 FURUGYAN, MG , (2015) OPTIMAL CORRECTION OF EXECUTION INTERVALS FOR MULTIPROCESSOR SCHEDULING WITH ADDITIONAL RESOURCE.JOURNAL OF COMPUTER AND SYSTEMS SCIENCES INTERNATIONAL. VOL. 54. ISSUE 2. P. 268 -277 14 93% 0
6 SELIN, PS , TSURKOV, VI , (2014) METHOD OF CHARACTERISTIC FUNCTIONS FOR CLASSES OF NETWORKS WITH FIXED NODE DEGREES.JOURNAL OF COMPUTER AND SYSTEMS SCIENCES INTERNATIONAL. VOL. 53. ISSUE 5. P. 645 -655 13 100% 0
7 BREZHNEVA, O , TRET'YAKOV, AA , (2010) COME BACK TO LAGRANGE. THE P-FACTOR ANALYSIS OF OPTIMALITY CONDITIONS.NUMERICAL FUNCTIONAL ANALYSIS AND OPTIMIZATION. VOL. 31. ISSUE 8. P. 871-891 14 100% 1
8 BAHAA, GM , THARWAT, MM , (2012) OPTIMAL BOUNDARY CONTROL FOR INFINITE VARIABLES PARABOLIC SYSTEMS WITH TIME LAGS GIVEN IN INTEGRAL FORM.IRANIAN JOURNAL OF SCIENCE AND TECHNOLOGY TRANSACTION A-SCIENCE. VOL. 36. ISSUE A3. P. 277-291 13 100% 0
9 ARUTYUNOV, AV , (2012) SMOOTH ABNORMAL PROBLEMS IN EXTREMUM THEORY AND ANALYSIS.RUSSIAN MATHEMATICAL SURVEYS. VOL. 67. ISSUE 3. P. 403 -457 18 72% 0
10 ARUTYUNOV, AV , AVAKOV, ER , IZMAILOV, AF , (2008) NECESSARY OPTIMALITY CONDITIONS FOR CONSTRAINED OPTIMIZATION PROBLEMS UNDER RELAXED CONSTRAINT QUALIFICATIONS.MATHEMATICAL PROGRAMMING. VOL. 114. ISSUE 1. P. 37-68 14 93% 5

Classes with closest relation at Level 2


Rank Class id link
1 4006 POTENTIAL TYPE OPERATORS//QUASINORMAL FORM//ANISOTROPIC SINGULAR PERTURBATIONS
2 3169 OPTIMAL CONTROL//STATE CONSTRAINTS//OPTIMAL CONTROL PROBLEM
3 3369 P ADIC NUMBERS//GENERALIZED BROWNIAN MOTION PROCESS//FIRST VARIATION
4 3377 LINEABILITY//SPACEABILITY//ALGEBRABILITY
5 2434 HAMILTON JACOBI EQUATION//MEAN FIELD GAMES//VISCOSITY SOLUTIONS
6 114 MATHEMATICS, APPLIED//JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS//GLOBAL CONVERGENCE
7 2139 DISTRIBUTED PARAMETER SYSTEMS//CARLEMAN ESTIMATES//NULL CONTROLLABILITY
8 3989 HOMOTOPIC MAPPING//CLIMATE STUDIES CHINA METEOROL ADM//VARIATIONAL ITERATION
9 2872 HYPERCYCLIC OPERATORS//HYPERCYCLIC VECTORS//HYPERCYCLIC
10 1949 STURM LIOUVILLE OPERATOR//STURM LIOUVILLE PROBLEM//INVERSE SPECTRAL PROBLEM

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