Class information for:
Level 1: CONTINUED FRACTIONS//LUROTH SERIES//OPPENHEIM SERIES EXPANSION

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
18437 1                   CONTINUED FRACTIONS//LUROTH SERIES//OPPENHEIM SERIES EXPANSION 576

Terms with highest relevance score



rank Category termType chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 CONTINUED FRACTIONS authKW 305278 10% 10% 55
2 LUROTH SERIES authKW 273577 1% 100% 5
3 OPPENHEIM SERIES EXPANSION authKW 218862 1% 100% 4
4 MODULAR SURFACE authKW 206229 1% 54% 7
5 THOMAS STIELTJES MATH address 206229 1% 54% 7
6 EUCLIDEAN ALGORITHM authKW 175064 3% 20% 16
7 DECIMAL EXPANSION authKW 164146 1% 100% 3
8 ENGELS SERIES authKW 164146 1% 100% 3
9 ERROR SUM FUNCTION authKW 164146 1% 100% 3
10 INTEGER GREATEST COMMON DIVISOR GCD authKW 164146 1% 100% 3

Web of Science journal categories



chi_square_rank Category chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 Mathematics 16302 72% 0% 415
2 Mathematics, Applied 2880 29% 0% 165
3 Physics, Mathematical 442 8% 0% 48
4 Computer Science, Theory & Methods 438 8% 0% 47
5 Statistics & Probability 142 4% 0% 25
6 Computer Science, Software Engineering 12 2% 0% 9
7 Logic 11 0% 0% 2
8 History & Philosophy of Science 8 1% 0% 3
9 Imaging Science & Photographic Technology 7 1% 0% 4
10 Mathematics, Interdisciplinary Applications 2 1% 0% 5

Address terms



chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 THOMAS STIELTJES MATH 206229 1% 54% 7
2 EWI DIAM 136784 1% 50% 5
3 ABT STAT PHYS NICHTLINEARE DYNAM 123108 1% 75% 3
4 ITS SSOR 72953 0% 67% 2
5 CERI RIC PREVIS PREVENZ CONTROLLO RI I GEOL 54715 0% 100% 1
6 GHEORGHE MIHOC MATH STAT 54715 0% 100% 1
7 INTERDISZIPLINA ZENTRUM WISSENSC TECH GE I 54715 0% 100% 1
8 ITS CROSS 54715 0% 100% 1
9 LARGE SYST BUSINESS UNIT 54715 0% 100% 1
10 MATH INFORMAT HBEREICH 3 54715 0% 100% 1

Journals



chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 JOURNAL OF NUMBER THEORY 34081 10% 1% 55
2 ACTA ARITHMETICA 11253 5% 1% 26
3 PROCEEDINGS OF THE KONINKLIJKE NEDERLANDSE AKADEMIE VAN WETENSCHAPPEN SERIES A-MATHEMATICAL SCIENCES 7338 1% 2% 6
4 JOURNAL OF SYMBOLIC COMPUTATION 6911 3% 1% 17
5 FIBONACCI QUARTERLY 6589 2% 1% 13
6 ERGODIC THEORY AND DYNAMICAL SYSTEMS 6350 3% 1% 17
7 INDAGATIONES MATHEMATICAE-NEW SERIES 6290 2% 1% 12
8 MONATSHEFTE FUR MATHEMATIK 5977 3% 1% 16
9 JOURNAL OF MODERN DYNAMICS 5573 1% 2% 5
10 NONLINEARITY 3179 2% 0% 14

Author Key Words



chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass LCSH search Wikipedia search
1 CONTINUED FRACTIONS 305278 10% 10% 55 Search CONTINUED+FRACTIONS Search CONTINUED+FRACTIONS
2 LUROTH SERIES 273577 1% 100% 5 Search LUROTH+SERIES Search LUROTH+SERIES
3 OPPENHEIM SERIES EXPANSION 218862 1% 100% 4 Search OPPENHEIM+SERIES+EXPANSION Search OPPENHEIM+SERIES+EXPANSION
4 MODULAR SURFACE 206229 1% 54% 7 Search MODULAR+SURFACE Search MODULAR+SURFACE
5 EUCLIDEAN ALGORITHM 175064 3% 20% 16 Search EUCLIDEAN+ALGORITHM Search EUCLIDEAN+ALGORITHM
6 DECIMAL EXPANSION 164146 1% 100% 3 Search DECIMAL+EXPANSION Search DECIMAL+EXPANSION
7 ENGELS SERIES 164146 1% 100% 3 Search ENGELS+SERIES Search ENGELS+SERIES
8 ERROR SUM FUNCTION 164146 1% 100% 3 Search ERROR+SUM+FUNCTION Search ERROR+SUM+FUNCTION
9 INTEGER GREATEST COMMON DIVISOR GCD 164146 1% 100% 3 Search INTEGER+GREATEST+COMMON+DIVISOR+GCD Search INTEGER+GREATEST+COMMON+DIVISOR+GCD
10 NEAREST SQUARE CONTINUED FRACTION 164146 1% 100% 3 Search NEAREST+SQUARE+CONTINUED+FRACTION Search NEAREST+SQUARE+CONTINUED+FRACTION

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 25221 MCSHANES IDENTITY//JORGENSEN THEORY//MCSHANE IDENTITY
2 27689 KLEIN POLYHEDRON//MULTIDIMENSIONAL CONTINUED FRACTION//KHABAROVSK
3 4572 DECAY OF CORRELATIONS//ABSOLUTELY CONTINUOUS INVARIANT MEASURES//FROBENIUS PERRON OPERATOR
4 38797 APPROACH TO THERMODYNAMIC EQUILIBRIUM//BASEL PROBLEM//EULERS SINE PRODUCT
5 11527 DIOPHANTINE APPROXIMATION//FORMAL LAURENT SERIES//METRIC DIOPHANTINE APPROXIMATION
6 25608 HECKE GROUPS//SUBORBITAL GRAPHS//EXTENDED HECKE GROUP
7 10996 HARMONIC MANIFOLDS//ASYMPTOTICALLY HARMONIC MANIFOLDS//PATTERSON SULLIVAN MEASURE
8 24562 TAKAGI FUNCTION//APPROXIMATE CONVEXITY//SINGULAR FUNCTIONS
9 3186 HAUSDORFF DIMENSION//SELF SIMILAR SET//ITERATED FUNCTION SYSTEM
10 24523 ESTERMANN ZETA FUNCTION//RIEMANN HYPOTHESIS//COTANGENT SUMS

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