Class information for:
Level 1: MAHLERS METHOD//ALGEBRAIC INDEPENDENCE//MAHLER FUNCTION

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
2336 2             COMBINATORICS ON WORDS//STURMIAN WORDS//BETA EXPANSION 4693
23227 1                   MAHLERS METHOD//ALGEBRAIC INDEPENDENCE//MAHLER FUNCTION 375

Terms with highest relevance score



rank Category termType chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 MAHLERS METHOD authKW 1596837 5% 100% 19
2 ALGEBRAIC INDEPENDENCE authKW 850912 7% 38% 27
3 MAHLER FUNCTION authKW 847443 3% 92% 11
4 EXPRESSIBLE SET authKW 588308 2% 100% 7
5 STERN DIATOMIC SEQUENCE authKW 504264 2% 100% 6
6 STERN POLYNOMIALS authKW 504264 2% 100% 6
7 CALKIN WILF TREE authKW 420220 1% 100% 5
8 MAHLER TYPE FUNCTIONAL EQUATION authKW 420220 1% 100% 5
9 M ARY PARTITIONS authKW 336176 1% 100% 4
10 STERN SEQUENCE authKW 275048 2% 55% 6

Web of Science journal categories



chi_square_rank Category chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 Mathematics 18435 94% 0% 354
2 Mathematics, Applied 240 11% 0% 42
3 Statistics & Probability 4 1% 0% 5
4 Logic 4 0% 0% 1
5 Computer Science, Software Engineering 2 1% 0% 4
6 Computer Science, Information Systems 0 1% 0% 3
7 Multidisciplinary Sciences -0 0% 0% 1
8 Computer Science, Theory & Methods -0 1% 0% 2
9 Physics, Mathematical -0 1% 0% 2
10 Mechanics -0 1% 0% 3

Address terms



chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 PLICAT FUZZY MODELING 148691 5% 9% 19
2 CHINESE MATH SYST SCI 84044 0% 100% 1
3 MATH SIMION SLOILOW 84044 0% 100% 1
4 O ING IND 84044 0% 100% 1
5 UO IT4INNOVAT 84044 0% 100% 1
6 UO 60023 1% 14% 5
7 ATT SHANNON S 42021 0% 50% 1
8 URA 369 CNRS 28013 0% 33% 1
9 UMR 9994 CNRS 21010 0% 25% 1
10 WARRANE 21010 0% 25% 1

Journals



chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 ACTA ARITHMETICA 49641 12% 1% 44
2 JOURNAL OF NUMBER THEORY 45055 14% 1% 51
3 FIBONACCI QUARTERLY 43773 7% 2% 27
4 INTERNATIONAL JOURNAL OF NUMBER THEORY 13376 4% 1% 14
5 PUBLICATIONES MATHEMATICAE-DEBRECEN 6138 3% 1% 12
6 MONATSHEFTE FUR MATHEMATIK 6067 3% 1% 13
7 AMERICAN MATHEMATICAL MONTHLY 4352 3% 0% 12
8 ARCHIV DER MATHEMATIK 3688 4% 0% 15
9 BULLETIN OF THE AUSTRALIAN MATHEMATICAL SOCIETY 2012 2% 0% 9
10 INDAGATIONES MATHEMATICAE-NEW SERIES 1674 1% 0% 5

Author Key Words



chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass LCSH search Wikipedia search
1 MAHLERS METHOD 1596837 5% 100% 19 Search MAHLERS+METHOD Search MAHLERS+METHOD
2 ALGEBRAIC INDEPENDENCE 850912 7% 38% 27 Search ALGEBRAIC+INDEPENDENCE Search ALGEBRAIC+INDEPENDENCE
3 MAHLER FUNCTION 847443 3% 92% 11 Search MAHLER+FUNCTION Search MAHLER+FUNCTION
4 EXPRESSIBLE SET 588308 2% 100% 7 Search EXPRESSIBLE+SET Search EXPRESSIBLE+SET
5 STERN DIATOMIC SEQUENCE 504264 2% 100% 6 Search STERN+DIATOMIC+SEQUENCE Search STERN+DIATOMIC+SEQUENCE
6 STERN POLYNOMIALS 504264 2% 100% 6 Search STERN+POLYNOMIALS Search STERN+POLYNOMIALS
7 CALKIN WILF TREE 420220 1% 100% 5 Search CALKIN+WILF+TREE Search CALKIN+WILF+TREE
8 MAHLER TYPE FUNCTIONAL EQUATION 420220 1% 100% 5 Search MAHLER+TYPE+FUNCTIONAL+EQUATION Search MAHLER+TYPE+FUNCTIONAL+EQUATION
9 M ARY PARTITIONS 336176 1% 100% 4 Search M+ARY+PARTITIONS Search M+ARY+PARTITIONS
10 STERN SEQUENCE 275048 2% 55% 6 Search STERN+SEQUENCE Search STERN+SEQUENCE

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 20995 IRRATIONALITY MEASURE//LINEAR INDEPENDENCE MEASURE//IRRATIONALITY
2 38797 APPROACH TO THERMODYNAMIC EQUILIBRIUM//BASEL PROBLEM//EULERS SINE PRODUCT
3 7714 COMBINATORICS ON WORDS//STURMIAN WORDS//PARTIAL WORDS
4 25545 NORMAL NUMBERS//CANTOR SERIES//BBP TYPE FORMULAE
5 11606 ARITHMETIC DYNAMICS//ANDRE OORT CONJECTURE//ZILBER PINK CONJECTURE
6 15427 DRINFELD MODULES//DRINFELD MODULAR FORMS//DRINFELD MODULAR CURVES
7 20145 SUM OF DIGITS FUNCTION//SUM OF DIGITS//DIGITAL EXPANSIONS
8 24801 CONTINUED FRACTIONS//Q CONTINUED FRACTION//BAUER MUIR TRANSFORMATION
9 29035 QUARTIC JACOBI SYMBOL//CUBIC CONGRUENCE//OCTIC RESIDUE
10 11527 DIOPHANTINE APPROXIMATION//FORMAL LAURENT SERIES//METRIC DIOPHANTINE APPROXIMATION

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