Class information for:
Level 1: STECHKINS PROBLEM//FAA DI BRUNOS FORMULA//DIFFERENTIATION OF COMPOSITE FUNCTIONS

Basic class information
Class id #P Avg. number of
references		 Database coverage
of references
28514 205 18.0 22%


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
609 3       FIXED POINT//HYERS ULAM STABILITY//PITMAN RESEARCH NOTES IN MATHEMATICS SERIES 14179
2288 2             MODULUS OF CONTINUITY//JOURNAL OF APPROXIMATION THEORY//MODULUS OF SMOOTHNESS 4575
28514 1                   STECHKINS PROBLEM//FAA DI BRUNOS FORMULA//DIFFERENTIATION OF COMPOSITE FUNCTIONS 205

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 STECHKINS PROBLEM authKW 446860 1% 100% 3
2 FAA DI BRUNOS FORMULA authKW 430888 4% 32% 9
3 DIFFERENTIATION OF COMPOSITE FUNCTIONS authKW 335143 1% 75% 3
4 BACKWARD DIFFERENCE APPROXIMATIONS authKW 297906 1% 100% 2
5 CALCULUS OF SEVERAL VARIABLES authKW 297906 1% 100% 2
6 FORWARD DIFFERENCE APPROXIMATIONS authKW 297906 1% 100% 2
7 OPTIMAL RECOVERY OF OPERATORS authKW 297906 1% 100% 2
8 PARTICLE CHANNELING IN CRYSTALS authKW 297906 1% 100% 2
9 POLYGON PARTITIONS authKW 297906 1% 100% 2
10 SEMIAXIS authKW 297906 1% 100% 2

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 Mathematics 4776 65% 0% 134
2 Mathematics, Applied 2560 44% 0% 91
3 Statistics & Probability 118 6% 0% 13
4 Physics, Mathematical 36 4% 0% 9
5 Computer Science, Software Engineering 23 3% 0% 6
6 Computer Science, Interdisciplinary Applications 5 2% 0% 4
7 Multidisciplinary Sciences 4 1% 0% 2
8 Forestry 3 1% 0% 2
9 Physics, Particles & Fields 0 1% 0% 3
10 Physics, Nuclear 0 1% 0% 2

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 FR CNRS 3399 158878 2% 27% 4
2 DIPARTMENTO MATEMAT GUIDO CASTELNUOVO 148953 0% 100% 1
3 OZERSK TECHNOL 148951 1% 50% 2
4 LMR EA 4535 119160 1% 40% 2
5 INFORMAT SIGNAL IMAGE COTE OPALE LISIC EA 4 74476 0% 50% 1
6 ANAL ALGEBR 49650 0% 33% 1
7 IST STAT RIC OPERAT 37237 0% 25% 1
8 LINA CNRS FRE 2729 37237 0% 25% 1
9 MATH ANAL THEORY FUNCT 37237 0% 25% 1
10 EA 4535 22063 1% 7% 2

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 UKRAINIAN MATHEMATICAL JOURNAL 7472 3% 1% 7
2 JOURNAL OF APPROXIMATION THEORY 5267 5% 0% 11
3 MATHEMATICAL NOTES 3606 5% 0% 11
4 PROCEEDINGS OF THE STEKLOV INSTITUTE OF MATHEMATICS 3557 2% 0% 5
5 AMERICAN MATHEMATICAL MONTHLY 2692 3% 0% 7
6 PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A-MATHEMATICS 2066 3% 0% 6
7 CONTRIBUTIONS TO DISCRETE MATHEMATICS 1958 0% 1% 1
8 SCIENCE IN CHINA SERIES A-MATHEMATICS 1524 2% 0% 5
9 JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS 1459 5% 0% 10
10 QUALITATIVE THEORY OF DYNAMICAL SYSTEMS 1126 0% 1% 1

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 STECHKINS PROBLEM 446860 1% 100% 3 Search STECHKINS+PROBLEM Search STECHKINS+PROBLEM
2 FAA DI BRUNOS FORMULA 430888 4% 32% 9 Search FAA+DI+BRUNOS+FORMULA Search FAA+DI+BRUNOS+FORMULA
3 DIFFERENTIATION OF COMPOSITE FUNCTIONS 335143 1% 75% 3 Search DIFFERENTIATION+OF+COMPOSITE+FUNCTIONS Search DIFFERENTIATION+OF+COMPOSITE+FUNCTIONS
4 BACKWARD DIFFERENCE APPROXIMATIONS 297906 1% 100% 2 Search BACKWARD+DIFFERENCE+APPROXIMATIONS Search BACKWARD+DIFFERENCE+APPROXIMATIONS
5 CALCULUS OF SEVERAL VARIABLES 297906 1% 100% 2 Search CALCULUS+OF+SEVERAL+VARIABLES Search CALCULUS+OF+SEVERAL+VARIABLES
6 FORWARD DIFFERENCE APPROXIMATIONS 297906 1% 100% 2 Search FORWARD+DIFFERENCE+APPROXIMATIONS Search FORWARD+DIFFERENCE+APPROXIMATIONS
7 OPTIMAL RECOVERY OF OPERATORS 297906 1% 100% 2 Search OPTIMAL+RECOVERY+OF+OPERATORS Search OPTIMAL+RECOVERY+OF+OPERATORS
8 PARTICLE CHANNELING IN CRYSTALS 297906 1% 100% 2 Search PARTICLE+CHANNELING+IN+CRYSTALS Search PARTICLE+CHANNELING+IN+CRYSTALS
9 POLYGON PARTITIONS 297906 1% 100% 2 Search POLYGON+PARTITIONS Search POLYGON+PARTITIONS
10 SEMIAXIS 297906 1% 100% 2 Search SEMIAXIS Search SEMIAXIS

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 XU, AM , WANG, CJ , (2010) SOME EXTENSIONS OF FAA DI BRUNO'S FORMULA WITH DIVIDED DIFFERENCES.COMPUTERS & MATHEMATICS WITH APPLICATIONS. VOL. 59. ISSUE 6. P. 2047-2052 14 93% 2
2 XU, AM , CEN, ZD , (2011) A UNIFIED APPROACH TO SOME RECURRENCE SEQUENCES VIA FAA DI BRUNO'S FORMULA.COMPUTERS & MATHEMATICS WITH APPLICATIONS. VOL. 62. ISSUE 1. P. 253-260 11 79% 3
3 BAI, HH , XU, AM , CUI, F , (2009) REPRESENTATION FOR THE LAGRANGIAN NUMERICAL DIFFERENTIATION FORMULA INVOLVING ELEMENTARY SYMMETRIC FUNCTIONS.JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS. VOL. 231. ISSUE 2. P. 907-913 9 100% 2
4 BAI, HH , XU, AM , (2009) HERMITE INTERPOLATION AND ITS NUMERICAL DIFFERENTIATION FORMULA INVOLVING SYMMETRIC FUNCTIONS.APPLIED MATHEMATICS-A JOURNAL OF CHINESE UNIVERSITIES SERIES B. VOL. 24. ISSUE 3. P. 309-314 9 100% 0
5 BABENKO, Y , SKOROKHODOV, D , (2013) STECHKIN'S PROBLEM FOR DIFFERENTIAL OPERATORS AND FUNCTIONALS OF FIRST AND SECOND ORDERS.JOURNAL OF APPROXIMATION THEORY. VOL. 167. ISSUE . P. 173-200 8 100% 1
6 WANG, XH , (2007) ON THE HERMITE INTERPOLATION.SCIENCE IN CHINA SERIES A-MATHEMATICS. VOL. 50. ISSUE 11. P. 1651 -1660 9 90% 9
7 XU, AM , CEN, ZD , (2011) ON A Q-ANALOGUE OF FAA DI BRUNO'S DETERMINANT FORMULA.DISCRETE MATHEMATICS. VOL. 311. ISSUE 6. P. 387-392 9 82% 1
8 LEIPNIK, RB , PEARCE, CEM , (2007) THE MULTIVARIATE FAA DI BRUNO FORMULA AND MULTIVARIATE TAYLOR EXPANSIONS WITH EXPLICIT INTEGRAL REMAINDER TERM.ANZIAM JOURNAL. VOL. 48. ISSUE . P. 327-341 8 89% 9
9 BABENKO, VF , PARFINOVICH, NV , PICHUGOV, SA , (2014) KOLMOGOROV-TYPE INEQUALITIES FOR NORMS OF RIESZ DERIVATIVES OF FUNCTIONS OF SEVERAL VARIABLES WITH LAPLACIAN BOUNDED IN L-INFINITY AND RELATED PROBLEMS.MATHEMATICAL NOTES. VOL. 95. ISSUE 1-2. P. 3 -14 6 100% 1
10 BABENKO, VF , CHURILOVA, MS , PARFINOVYCH, NV , SKOROKHODOV, DS , (2014) KOLMOGOROV TYPE INEQUALITIES FOR THE MARCHAUD FRACTIONAL DERIVATIVES ON THE REAL LINE AND THE HALF-LINE.JOURNAL OF INEQUALITIES AND APPLICATIONS. VOL. . ISSUE . P. - 6 100% 0

Classes with closest relation at Level 1


Rank Class id link
1 33160 COMPACT CONVERGENCE TOPOLOGY//PHI ALGEBRA//LOCALLY M CONVEX ALGEBRA
2 16742 STIRLING NUMBERS//R STIRLING NUMBERS//EULER DISTRIBUTION
3 36756 BASIC EQUATION OF MAGNETOSTATICS//BODIES WITH INCLUSIONS//CYLINDER WITH FLAW
4 26692 PROJET ANAL FONCTIONNELLE//FUNCTIONS OF BOUNDED P VARIATION//FACTORISATION INEQUALITY
5 17152 INEQUALITIES IN THE COMPLEX DOMAIN//MARKOV TYPE INEQUALITY//POLAR DERIVATIVE
6 34512 EDPNL HIST MATH//NON REGULAR DOMAINS//PROBLEMS WITHOUT INITIAL CONDITION
7 29071 DYNAMICAL SYSTEMS METHOD DSM//INTEGRO INTERPOLATION//NUMERICAL DIFFERENTIATION
8 23174 PASCAL MATRIX//STIRLING MATRIX//FIBONACCI MATRIX
9 27977 PL MATH GRP//REPEATED INTEGRALS//GLITTER PATTERN
10 32790 GREAT ELLIPSE//GREAT CIRCLE//ASTRONOMICAL VESSEL POSITION

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