Class information for:
Level 1: MANDELBROT SET//GENERALIZED M J SETS//JULIA SET

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
3592 2             FRACTAL INTERPOLATION FUNCTIONS//FRACTAL IMAGE COMPRESSION//FRACTAL IMAGE CODING 1395
20837 1                   MANDELBROT SET//GENERALIZED M J SETS//JULIA SET 467

Terms with highest relevance score



rank Category termType chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 MANDELBROT SET authKW 1467983 9% 49% 44
2 GENERALIZED M J SETS authKW 404921 1% 100% 6
3 JULIA SET authKW 377703 10% 12% 46
4 GRADIENT CONTROL authKW 367425 1% 78% 7
5 INVARIANT MAPPING authKW 347073 1% 86% 6
6 GENERALIZED M SET authKW 337434 1% 100% 5
7 EXTERNAL ARGUMENTS authKW 330681 1% 70% 7
8 NON DISTRIBUTIVE ALGEBRAS authKW 281193 1% 83% 5
9 GENERALIZED MANDELBROT SET authKW 269947 1% 100% 4
10 ONE DIMENSIONAL QUADRATIC MAPS authKW 269947 1% 100% 4

Web of Science journal categories



chi_square_rank Category chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 Computer Science, Software Engineering 9236 33% 0% 152
2 Mathematics, Interdisciplinary Applications 7162 28% 0% 132
3 Physics, Mathematical 2771 22% 0% 102
4 Mathematics, Applied 1633 24% 0% 113
5 Physics, Multidisciplinary 1506 27% 0% 125
6 Mechanics 165 7% 0% 35
7 Mathematics 82 7% 0% 34
8 Engineering, Mechanical 51 4% 0% 20
9 Computer Science, Theory & Methods 40 3% 0% 15
10 Art 37 1% 0% 4

Address terms



chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 GALGOTIA ENG TECHNOL 134974 0% 100% 2
2 OPT CUANT 89363 1% 19% 7
3 AMITY ENGG TECH 67487 0% 100% 1
4 BLDG MAT SCI TECHNOL 67487 0% 100% 1
5 ETSI AGRONOMOS ESTAT 67487 0% 100% 1
6 FIC LICADA 67487 0% 100% 1
7 FOUNDAMENTAL PHYS 67487 0% 100% 1
8 GALGOTIA ENGN TECH 67487 0% 100% 1
9 GSC C UNIV 67487 0% 100% 1
10 IMAGES NETWORKS 67487 0% 100% 1

Journals



chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 COMPUTERS & GRAPHICS-UK 195475 17% 4% 79
2 FRACTALS-COMPLEX GEOMETRY PATTERNS AND SCALING IN NATURE AND SOCIETY 88867 9% 3% 40
3 COMPUTERS & GRAPHICS 77062 4% 6% 19
4 CHAOS SOLITONS & FRACTALS 21868 11% 1% 51
5 COMPUTERS & MATHEMATICS WITH APPLICATIONS-PART B 13836 1% 5% 4
6 FRACTALS-AN INTERDISCIPLINARY JOURNAL ON THE COMPLEX GEOMETRY OF NATURE 6133 0% 9% 1
7 INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS 5702 5% 0% 22
8 NONLINEAR DYNAMICS 3984 4% 0% 18
9 ADVANCES IN APPLIED CLIFFORD ALGEBRAS 2311 1% 1% 5
10 COMPUTER GRAPHICS WORLD 1772 0% 1% 2

Author Key Words



chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass LCSH search Wikipedia search
1 MANDELBROT SET 1467983 9% 49% 44 Search MANDELBROT+SET Search MANDELBROT+SET
2 GENERALIZED M J SETS 404921 1% 100% 6 Search GENERALIZED+M+J+SETS Search GENERALIZED+M+J+SETS
3 JULIA SET 377703 10% 12% 46 Search JULIA+SET Search JULIA+SET
4 GRADIENT CONTROL 367425 1% 78% 7 Search GRADIENT+CONTROL Search GRADIENT+CONTROL
5 INVARIANT MAPPING 347073 1% 86% 6 Search INVARIANT+MAPPING Search INVARIANT+MAPPING
6 GENERALIZED M SET 337434 1% 100% 5 Search GENERALIZED+M+SET Search GENERALIZED+M+SET
7 EXTERNAL ARGUMENTS 330681 1% 70% 7 Search EXTERNAL+ARGUMENTS Search EXTERNAL+ARGUMENTS
8 NON DISTRIBUTIVE ALGEBRAS 281193 1% 83% 5 Search NON+DISTRIBUTIVE+ALGEBRAS Search NON+DISTRIBUTIVE+ALGEBRAS
9 GENERALIZED MANDELBROT SET 269947 1% 100% 4 Search GENERALIZED+MANDELBROT+SET Search GENERALIZED+MANDELBROT+SET
10 ONE DIMENSIONAL QUADRATIC MAPS 269947 1% 100% 4 Search ONE+DIMENSIONAL+QUADRATIC+MAPS Search ONE+DIMENSIONAL+QUADRATIC+MAPS

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 4710 JULIA SET//FATOU SET//HOLOMORPHIC DYNAMICS
2 38087 CRITICAL EXPONENT METHOD//NONLINEAR SPEECH PROCESSING//NICHES DIFFERENTIATION
3 32447 POLYIAMONDS//ISOHEDRAL TILINGS//TWO DIMENSIONAL SYMMETRY GROUPS
4 38562 HURWITZ ACTION//3D LEMNISCATES//BIFOCAL CURVE
5 24951 MULTISCALE SIMULAT//GRP ETUD SYST NON LINEAI PLICAT//PARAMETER SPACE
6 15138 FRACTAL INTERPOLATION FUNCTIONS//FRACTAL IMAGE COMPRESSION//FRACTAL IMAGE CODING
7 38381 CAUCHYS THEOREM AND FORMULA//INVARIANT VECTOR SUBSPACES//REAL FUNCTION FAMILY
8 5428 ORDER OF CONVERGENCE//SEMILOCAL CONVERGENCE//NONLINEAR EQUATIONS
9 4970 CIRCLE HOMEOMORPHISM//CRITICAL CIRCLE MAPS//ROTATION NUMBER
10 29609 ANTIBUBBLES//AUSTRIAN NONLINEAR STUDIES//FARADAY WAVES

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