Class information for:
Level 1: GEOMATH GRP//SPHERICAL DESIGNS//EUCLIDEAN DESIGN

Basic class information
Class id #P Avg. number of
references		 Database coverage
of references
14984 738 21.9 35%


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
15 4 MATHEMATICS//MATHEMATICS, APPLIED//MATH 719832
404 3       MATHEMATICS//ORTHOGONAL POLYNOMIALS//MATHEMATICS, APPLIED 29787
1193 2             ORTHOGONAL POLYNOMIALS//JOURNAL OF APPROXIMATION THEORY//JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS 9261
14984 1                   GEOMATH GRP//SPHERICAL DESIGNS//EUCLIDEAN DESIGN 738

Terms with highest relevance score


rank Term termType Chi square Shr. of publ. in
class containing
term		 Class's shr. of
term's tot. occurrences		 #P with
term in
class
1 GEOMATH GRP address 1513100 7% 76% 48
2 SPHERICAL DESIGNS authKW 1450709 6% 75% 47
3 EUCLIDEAN DESIGN authKW 496493 2% 100% 12
4 TIGHT DESIGN authKW 455119 1% 100% 11
5 MARCINKIEWICZ ZYGMUND INEQUALITIES authKW 349605 2% 65% 13
6 CONSTRUCT PROXIMAT address 345235 3% 38% 22
7 OPTIMAL QUADRATURE FORMULAS authKW 294217 1% 89% 8
8 RIESZ ENERGY authKW 240720 1% 73% 8
9 CHEBYSHEV TYPE QUADRATURE authKW 206872 1% 100% 5
10 MINIMAL DISCRETE RIESZ ENERGY authKW 206872 1% 100% 5

Web of Science journal categories


Rank Term Chi square Shr. of publ. in
class containing
term		 Class's shr. of
term's tot. occurrences		 #P with
term in
class
1 Mathematics 10860 52% 0% 386
2 Mathematics, Applied 8164 42% 0% 309
3 Computer Science, Theory & Methods 682 9% 0% 66
4 Physics, Mathematical 253 6% 0% 43
5 Remote Sensing 138 2% 0% 15
6 Geochemistry & Geophysics 77 4% 0% 26
7 Computer Science, Interdisciplinary Applications 37 3% 0% 19
8 Mathematics, Interdisciplinary Applications 23 2% 0% 13
9 Computer Science, Software Engineering 13 1% 0% 11
10 Statistics & Probability 3 1% 0% 8

Address terms


Rank Term Chi square Shr. of publ. in
class containing
term		 Class's shr. of
term's tot. occurrences		 #P with
term in
class
1 GEOMATH GRP 1513100 7% 76% 48
2 CONSTRUCT PROXIMAT 345235 3% 38% 22
3 TECHNOMATH 77965 1% 27% 7
4 CEA IRFU CSORBONNE PARIS CITE 41374 0% 100% 1
5 DILAR SEZ RILEVAMENTO 41374 0% 100% 1
6 FDN TECNOL SUPERCOMPUTAC GALICIA 41374 0% 100% 1
7 GEODESIE TERR PLANETAIRE 41374 0% 100% 1
8 H CURIEN UMR5516 41374 0% 100% 1
9 HBEREICH NACHRICHTENTECT 41374 0% 100% 1
10 MATEMAT LICADA ANAL I 41374 0% 100% 1

Journals


Rank Term Chi square Shr. of publ. in
class containing
term		 Class's shr. of
term's tot. occurrences		 #P with
term in
class
1 JOURNAL OF COMPLEXITY 18587 3% 2% 19
2 LECTURE NOTES IN PURE AND APPLIED MATHEMATICS 16867 2% 3% 14
3 JOURNAL OF APPROXIMATION THEORY 13156 4% 1% 33
4 CONSTRUCTIVE APPROXIMATION 10624 2% 2% 16
5 ELECTRONIC TRANSACTIONS ON NUMERICAL ANALYSIS 8792 1% 2% 11
6 EUROPEAN JOURNAL OF COMBINATORICS 7728 3% 1% 24
7 ADVANCES IN COMPUTATIONAL MATHEMATICS 6274 1% 2% 8
8 NUMERICAL ALGORITHMS 5194 2% 1% 15
9 DISCRETE & COMPUTATIONAL GEOMETRY 5115 2% 1% 16
10 JOURNAL OF GEODESY 5089 2% 1% 13

Author Key Words


Rank Term Chi square Shr. of publ. in
class containing
term		 Class's shr. of
term's tot. occurrences		 #P with
term in
class		 LCSH search Wikipedia search
1 SPHERICAL DESIGNS 1450709 6% 75% 47 Search SPHERICAL+DESIGNS Search SPHERICAL+DESIGNS
2 EUCLIDEAN DESIGN 496493 2% 100% 12 Search EUCLIDEAN+DESIGN Search EUCLIDEAN+DESIGN
3 TIGHT DESIGN 455119 1% 100% 11 Search TIGHT+DESIGN Search TIGHT+DESIGN
4 MARCINKIEWICZ ZYGMUND INEQUALITIES 349605 2% 65% 13 Search MARCINKIEWICZ+ZYGMUND+INEQUALITIES Search MARCINKIEWICZ+ZYGMUND+INEQUALITIES
5 OPTIMAL QUADRATURE FORMULAS 294217 1% 89% 8 Search OPTIMAL+QUADRATURE+FORMULAS Search OPTIMAL+QUADRATURE+FORMULAS
6 RIESZ ENERGY 240720 1% 73% 8 Search RIESZ+ENERGY Search RIESZ+ENERGY
7 CHEBYSHEV TYPE QUADRATURE 206872 1% 100% 5 Search CHEBYSHEV+TYPE+QUADRATURE Search CHEBYSHEV+TYPE+QUADRATURE
8 MINIMAL DISCRETE RIESZ ENERGY 206872 1% 100% 5 Search MINIMAL+DISCRETE+RIESZ+ENERGY Search MINIMAL+DISCRETE+RIESZ+ENERGY
9 OPTIMAL COEFFICIENTS 189134 1% 57% 8 Search OPTIMAL+COEFFICIENTS Search OPTIMAL+COEFFICIENTS
10 CUBATURE FORMULA 183990 2% 34% 13 Search CUBATURE+FORMULA Search CUBATURE+FORMULA

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.


Rank Reference # ref.
in cl.		 Shr. of ref. in
cl.		 Citations
1 BRAUCHART, JS , GRABNER, PJ , (2015) DISTRIBUTING MANY POINTS ON SPHERES: MINIMAL ENERGY AND DESIGNS.JOURNAL OF COMPLEXITY. VOL. 31. ISSUE 3. P. 293 -326 84 69% 2
2 BANNAI, E , BANNAI, E , (2009) A SURVEY ON SPHERICAL DESIGNS AND ALGEBRAIC COMBINATORICS ON SPHERES.EUROPEAN JOURNAL OF COMBINATORICS. VOL. 30. ISSUE 6. P. 1392 -1425 68 75% 35
3 BANNAI, E , BANNAI, E , TANAKA, H , ZHU, Y , (2017) DESIGN THEORY FROM THE VIEWPOINT OF ALGEBRAIC COMBINATORICS.GRAPHS AND COMBINATORICS. VOL. 33. ISSUE 1. P. 1 -41 37 63% 0
4 BRAUCHART, JS , SAFF, EB , SLOAN, IH , WOMERSLEY, RS , (2014) QMC DESIGNS: OPTIMAL ORDER QUASI MONTE CARLO INTEGRATION SCHEMES ON THE SPHERE.MATHEMATICS OF COMPUTATION. VOL. 83. ISSUE 290. P. 2821 -2851 22 85% 5
5 LEOPARDI, P , (2013) DISCREPANCY, SEPARATION AND RIESZ ENERGY OF FINITE POINT SETS ON THE UNIT SPHERE.ADVANCES IN COMPUTATIONAL MATHEMATICS. VOL. 39. ISSUE 1. P. 27-43 19 95% 5
6 BONDARENKO, A , RADCHENKO, D , VIAZOVSKA, M , (2013) OPTIMAL ASYMPTOTIC BOUNDS FOR SPHERICAL DESIGNS.ANNALS OF MATHEMATICS. VOL. 178. ISSUE 2. P. 443-452 16 100% 8
7 BRAUCHART, JS , (2008) OPTIMAL LOGARITHMIC ENERGY POINTS ON THE UNIT SPHERE.MATHEMATICS OF COMPUTATION. VOL. 77. ISSUE 263. P. 1599-1613 19 95% 10
8 BONDARENKO, A , RADCHENKO, D , VIAZOVSKA, M , (2015) WELL-SEPARATED SPHERICAL DESIGNS.CONSTRUCTIVE APPROXIMATION. VOL. 41. ISSUE 1. P. 93 -112 14 100% 3
9 NERATTINI, R , BRAUCHART, JS , KIESSLING, MKH , (2014) OPTIMAL -POINT CONFIGURATIONS ON THE SPHERE: "MAGIC" NUMBERS AND SMALE'S 7TH PROBLEM.JOURNAL OF STATISTICAL PHYSICS. VOL. 157. ISSUE 6. P. 1138 -1206 27 50% 3
10 NOZAKI, H , (2011) INSIDE S-INNER PRODUCT SETS AND EUCLIDEAN DESIGNS.COMBINATORICA. VOL. 31. ISSUE 6. P. 725 -737 15 94% 0

Classes with closest relation at Level 1


Rank Class id link
1 22622 CUBATURE//APPROXIMATE FEKETE POINTS//PADUA POINTS
2 30853 SURLENS//NONUNIFORM FAST FOURIER TRANSFORM//NFFT
3 23910 SPHERICAL CIRCLE PACKING//THOMSON PROBLEM//CONDUCTING DISK
4 31517 GENERALIZED ROUNDNESS//QUASIHYPERMETRIC SPACE//SIGNED MEASURE OF MASS ZERO
5 25141 DIFFUSION MAPS//SIGNAL PROCESSING ON GRAPHS//GRAPH SIGNAL PROCESSING
6 24647 MODULI OF SMOOTHNESS//K FUNCTIONAL//MODULUS OF SMOOTHNESS
7 21638 IDEAL PROJECTOR//KERGIN INTERPOLATION//RADON PROJECTIONS
8 2981 METHOD OF FUNDAMENTAL SOLUTIONS//RADIAL BASIS FUNCTIONS//ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS
9 32718 LINEAR POLARIZATION CONSTANTS//POLARIZATION CONSTANT//PRODUCT OF LINEAR FUNCTIONALS
10 10455 DISTANCE REGULAR GRAPH//LEONARD PAIR//TRIDIAGONAL PAIR

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