Class information for:
Level 1: SELF AFFINE MEASURE//SPECTRAL PAIRS//ORTHOGONAL EXPONENTIALS

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
482 3       MATHEMATICS//APPLIED AND COMPUTATIONAL HARMONIC ANALYSIS//FRAMES 24304
1761 2             APPLIED AND COMPUTATIONAL HARMONIC ANALYSIS//FRAMES//GABOR FRAMES 6749
22071 1                   SELF AFFINE MEASURE//SPECTRAL PAIRS//ORTHOGONAL EXPONENTIALS 418

Terms with highest relevance score


rank Category termType chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 SELF AFFINE MEASURE authKW 1597613 7% 76% 28
2 SPECTRAL PAIRS authKW 1445674 5% 91% 21
3 ORTHOGONAL EXPONENTIALS authKW 1281769 4% 100% 17
4 COMPATIBLE PAIR authKW 1135406 4% 94% 16
5 FUGLEDES CONJECTURE authKW 829380 3% 100% 11
6 POLYNOMIAL FUNCTIONAL EQUATION authKW 461812 2% 88% 7
7 CUBE TILING authKW 452389 1% 100% 6
8 FUGLEDE CONJECTURE authKW 452389 1% 100% 6
9 DIGIT SET authKW 418870 2% 56% 10
10 QUANTUM INTEGERS authKW 410498 2% 78% 7

Web of Science journal categories


chi_square_rank Category chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 Mathematics 12971 75% 0% 315
2 Mathematics, Applied 2606 32% 0% 133
3 Music 334 2% 0% 10
4 Physics, Mathematical 102 5% 0% 21
5 Computer Science, Theory & Methods 16 2% 0% 10
6 Imaging Science & Photographic Technology 6 1% 0% 3
7 Engineering, General 6 1% 0% 6
8 Spectroscopy 5 2% 0% 7
9 Statistics & Probability 3 1% 0% 5
10 Optics 3 3% 0% 11

Address terms


chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 WYDZIAL MATEMAT INFORMAT EKONOMETRII 335860 2% 64% 7
2 WYDZIAL MATEMAT INFORMATYKI EKONOMETRII 201059 1% 67% 4
3 GEODESY CADASTRE 100522 1% 22% 6
4 HBEREICH MATH AG 4 75398 0% 100% 1
5 M MO FED DENIS POISSON 75398 0% 100% 1
6 WYDZIALMATEMAT INFORMAT EKONOMETRII 75398 0% 100% 1
7 A REYNI MATH 37698 0% 50% 1
8 BIBOS BIELEFELD BONN 37698 0% 50% 1
9 MLH 14 37698 0% 50% 1
10 PRINTING MACHINES 28269 1% 13% 3

Journals


chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 JOURNAL OF FUNCTIONAL ANALYSIS 16351 9% 1% 38
2 JOURNAL OF FOURIER ANALYSIS AND APPLICATIONS 12356 3% 1% 12
3 JOURNAL OF MATHEMATICS AND MUSIC 12056 1% 4% 4
4 PERSPECTIVES OF NEW MUSIC 11345 1% 3% 6
5 REVUE ROUMAINE DE MATHEMATIQUES PURES ET APPLIQUEES 8637 1% 2% 5
6 COMPLEX ANALYSIS AND OPERATOR THEORY 5468 2% 1% 7
7 REVISTA MATEMATICA IBEROAMERICANA 4604 2% 1% 7
8 ANALYSIS MATHEMATICA 4057 1% 2% 3
9 ACTA APPLICANDAE MATHEMATICAE 3479 2% 0% 10
10 ADVANCES IN MATHEMATICS 2991 3% 0% 14

Author Key Words


chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass LCSH search Wikipedia search
1 SELF AFFINE MEASURE 1597613 7% 76% 28 Search SELF+AFFINE+MEASURE Search SELF+AFFINE+MEASURE
2 SPECTRAL PAIRS 1445674 5% 91% 21 Search SPECTRAL+PAIRS Search SPECTRAL+PAIRS
3 ORTHOGONAL EXPONENTIALS 1281769 4% 100% 17 Search ORTHOGONAL+EXPONENTIALS Search ORTHOGONAL+EXPONENTIALS
4 COMPATIBLE PAIR 1135406 4% 94% 16 Search COMPATIBLE+PAIR Search COMPATIBLE+PAIR
5 FUGLEDES CONJECTURE 829380 3% 100% 11 Search FUGLEDES+CONJECTURE Search FUGLEDES+CONJECTURE
6 POLYNOMIAL FUNCTIONAL EQUATION 461812 2% 88% 7 Search POLYNOMIAL+FUNCTIONAL+EQUATION Search POLYNOMIAL+FUNCTIONAL+EQUATION
7 CUBE TILING 452389 1% 100% 6 Search CUBE+TILING Search CUBE+TILING
8 FUGLEDE CONJECTURE 452389 1% 100% 6 Search FUGLEDE+CONJECTURE Search FUGLEDE+CONJECTURE
9 DIGIT SET 418870 2% 56% 10 Search DIGIT+SET Search DIGIT+SET
10 QUANTUM INTEGERS 410498 2% 78% 7 Search QUANTUM+INTEGERS Search QUANTUM+INTEGERS

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 9270 BETA EXPANSION//PISOT NUMBERS//CANONICAL NUMBER SYSTEM
2 19884 INTERPOLATING VARIETY//KORENBLUMS MAXIMUM PRINCIPLE//WEAKLY SUFFICIENT SET
3 5290 MULTIWAVELETS//REFINEMENT EQUATION//REFINABLE FUNCTIONS
4 4533 GABOR FRAMES//MODULATION SPACES//FRAMES
5 18084 E 0 SEMIGROUPS//QUANTUM MARKOV SEMIGROUP//PRODUCT SYSTEMS
6 30142 POLYOMINO TILINGS//LATTICE PERIODIC TILINGS//TILE INVARIANTS
7 3186 HAUSDORFF DIMENSION//SELF SIMILAR SET//ITERATED FUNCTION SYSTEM
8 28668 JOURNAL OF MATHEMATICS AND MUSIC//WELL FORMED SCALES//MAXIMALLY EVEN
9 16653 PERFECT CODES//COVERING CODES//COVERING RADIUS
10 29331 MONO COMPONENT//BEDROSIAN IDENTITY//RATIONAL ORTHOGONAL SYSTEM

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