Class information for:
Level 1: TAKAGI FUNCTION//APPROXIMATE CONVEXITY//SINGULAR FUNCTIONS

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
486 3       ERGODIC THEORY AND DYNAMICAL SYSTEMS//MATHEMATICS//HAUSDORFF DIMENSION 24099
865 2             ERGODIC THEORY AND DYNAMICAL SYSTEMS//HAUSDORFF DIMENSION//JULIA SET 11703
24562 1                   TAKAGI FUNCTION//APPROXIMATE CONVEXITY//SINGULAR FUNCTIONS 331

Terms with highest relevance score



rank Category termType chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 TAKAGI FUNCTION authKW 1036794 4% 78% 14
2 APPROXIMATE CONVEXITY authKW 948866 5% 59% 17
3 SINGULAR FUNCTIONS authKW 915781 7% 42% 23
4 JENSEN CONVEXITY authKW 822937 3% 79% 11
5 BERNSTEIN DOETSCH THEOREM authKW 771251 3% 90% 9
6 WRIGHT CONVEXITY authKW 761731 2% 100% 8
7 NOWHERE DIFFERENTIABLE FUNCTION authKW 732429 3% 77% 10
8 TAKAGIS FUNCTION authKW 476082 2% 100% 5
9 APPROXIMATELY MIDCONVEX FUNCTION authKW 380865 1% 100% 4
10 LOWER AND UPPER HERMITE HADAMARD INEQUALITIES authKW 380865 1% 100% 4

Web of Science journal categories



chi_square_rank Category chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 Mathematics 11715 80% 0% 266
2 Mathematics, Applied 1970 31% 0% 103
3 Physics, Mathematical 110 6% 0% 19
4 Mathematics, Interdisciplinary Applications 32 3% 0% 9
5 Statistics & Probability 26 3% 0% 9
6 Social Sciences, Mathematical Methods 4 1% 0% 2
7 Psychology, Mathematical 4 0% 0% 1
8 Physics, Multidisciplinary 3 3% 0% 11
9 Operations Research & Management Science 3 1% 0% 4
10 Computer Science, Cybernetics 2 0% 0% 1

Address terms



chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 NEUROSCI FLANDERS 142822 1% 50% 3
2 GRP INVEST ANAL MATEMAT 103668 2% 16% 7
3 ABT DYNAM SYST PROMAXIMATIONSTHEORIE 95216 0% 100% 1
4 DEPARTIMENTO FIS IST FIS NUCL 95216 0% 100% 1
5 JOHN KNOPFMACHER PL ANAL NO THEORY 95216 0% 100% 1
6 SYRTEOBSERV PARISPSL UNIVCNRS 95216 0% 100% 1
7 KATEDRA MATEMAT INFORMAT 47607 0% 50% 1
8 MATH COMP SCI ECONMETR 31737 0% 33% 1
9 THOMAS STIELTJES MATH 29294 1% 15% 2
10 CIENCIES EDUC 20398 1% 7% 3

Journals



chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 AEQUATIONES MATHEMATICAE 59985 5% 4% 18
2 MATHEMATICAL INEQUALITIES & APPLICATIONS 14827 5% 1% 15
3 PUBLICATIONES MATHEMATICAE-DEBRECEN 9474 4% 1% 14
4 JOURNAL OF CONVEX ANALYSIS 8590 3% 1% 9
5 AMERICAN MATHEMATICAL MONTHLY 7716 5% 1% 15
6 ACTA MATHEMATICA HUNGARICA 7116 5% 1% 15
7 OPEN MATHEMATICS 3342 1% 1% 3
8 JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS 2745 8% 0% 25
9 MONATSHEFTE FUR MATHEMATIK 1988 2% 0% 7
10 MATHEMATICAL PROCEEDINGS OF THE CAMBRIDGE PHILOSOPHICAL SOCIETY 1872 2% 0% 8

Author Key Words



chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass LCSH search Wikipedia search
1 TAKAGI FUNCTION 1036794 4% 78% 14 Search TAKAGI+FUNCTION Search TAKAGI+FUNCTION
2 APPROXIMATE CONVEXITY 948866 5% 59% 17 Search APPROXIMATE+CONVEXITY Search APPROXIMATE+CONVEXITY
3 SINGULAR FUNCTIONS 915781 7% 42% 23 Search SINGULAR+FUNCTIONS Search SINGULAR+FUNCTIONS
4 JENSEN CONVEXITY 822937 3% 79% 11 Search JENSEN+CONVEXITY Search JENSEN+CONVEXITY
5 BERNSTEIN DOETSCH THEOREM 771251 3% 90% 9 Search BERNSTEIN+DOETSCH+THEOREM Search BERNSTEIN+DOETSCH+THEOREM
6 WRIGHT CONVEXITY 761731 2% 100% 8 Search WRIGHT+CONVEXITY Search WRIGHT+CONVEXITY
7 NOWHERE DIFFERENTIABLE FUNCTION 732429 3% 77% 10 Search NOWHERE+DIFFERENTIABLE+FUNCTION Search NOWHERE+DIFFERENTIABLE+FUNCTION
8 TAKAGIS FUNCTION 476082 2% 100% 5 Search TAKAGIS+FUNCTION Search TAKAGIS+FUNCTION
9 APPROXIMATELY MIDCONVEX FUNCTION 380865 1% 100% 4 Search APPROXIMATELY+MIDCONVEX+FUNCTION Search APPROXIMATELY+MIDCONVEX+FUNCTION
10 LOWER AND UPPER HERMITE HADAMARD INEQUALITIES 380865 1% 100% 4 Search LOWER+AND+UPPER+HERMITE+HADAMARD+INEQUALITIES Search LOWER+AND+UPPER+HERMITE+HADAMARD+INEQUALITIES

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 7039 HERMITE HADAMARD INEQUALITY//OSTROWSKI INEQUALITY//CONVEX FUNCTION
2 18437 CONTINUED FRACTIONS//LUROTH SERIES//OPPENHEIM SERIES EXPANSION
3 14720 JACOBI MATRICES//ABSOLUTELY CONTINUOUS SPECTRUM//UNIVERSALITY LIMITS
4 3186 HAUSDORFF DIMENSION//SELF SIMILAR SET//ITERATED FUNCTION SYSTEM
5 31534 CURLICUES//ANALOGUE COMPUTERS//INCOMPLETE GAUSS SUM
6 20145 SUM OF DIGITS FUNCTION//SUM OF DIGITS//DIGITAL EXPANSIONS
7 23880 DENSITY TOPOLOGY//HAAR NULL//HAAR MEAGER SET
8 25574 ORTHOGONALITY PRESERVING MAPPINGS//BIRKHOFF JAMES ORTHOGONALITY//DUNKL WILLIAMS INEQUALITY
9 33792 COMP SCI LIX//DEFORMED EXPONENTIAL FAMILY//HESSIAN MANIFOLD
10 15138 FRACTAL INTERPOLATION FUNCTIONS//FRACTAL IMAGE COMPRESSION//FRACTAL IMAGE CODING

Go to start page