Class information for:
Level 2: CONVEX BODY//STAR BODY//INTERSECTION BODY

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
636 3       CONVEX BODY//JOURNAL OF COMPLEXITY//STEREOLOGY 11958
2815 2             CONVEX BODY//STAR BODY//INTERSECTION BODY 3270
4226 1                   CONVEX BODY//STAR BODY//INTERSECTION BODY 1857
21017 1                   EDGEWORTH PARETO HULL//RANDOM POLYTOPES//POLYHEDRAL APPROXIMATION 459
21608 1                   SMALLEST ENCLOSING CYLINDER//CORE SETS//INNER AND OUTER RADII 436
25244 1                   REDUCED BODY//NORMED PLANE//BIRKHOFF ORTHOGONALITY 310
32616 1                   MINIMUM WEIGHT TRIANGULATION//MAXIMUM WEIGHT TRIANGULATION//GREEDY TRIANGULATION 149
38562 1                   HURWITZ ACTION//3D LEMNISCATES//BIFOCAL CURVE 59

Terms with highest relevance score



rank Category termType chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 CONVEX BODY authKW 1218282 7% 55% 231
2 STAR BODY authKW 494058 2% 93% 55
3 INTERSECTION BODY authKW 375816 1% 100% 39
4 DUAL MIXED VOLUME authKW 260511 1% 97% 28
5 PROJECTION BODY authKW 250544 1% 100% 26
6 DUAL QUERMASSINTEGRALS authKW 222019 1% 96% 24
7 BRUNN MINKOWSKI INEQUALITY authKW 213102 1% 54% 41
8 MINIMUM WEIGHT TRIANGULATION authKW 212398 1% 96% 23
9 RANDOM POLYTOPES authKW 198798 1% 74% 28
10 BLASCHKE SANTALO INEQUALITY authKW 186554 1% 88% 22

Web of Science journal categories



chi_square_rank Category chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 Mathematics 111820 79% 0% 2584
2 Mathematics, Applied 11517 24% 0% 794
3 Computer Science, Theory & Methods 2962 9% 0% 289
4 Statistics & Probability 2594 7% 0% 240
5 Operations Research & Management Science 122 2% 0% 61
6 Computer Science, Software Engineering 90 2% 0% 56
7 Physics, Mathematical 51 2% 0% 60
8 Computer Science, Information Systems 42 2% 0% 52
9 Logic 35 0% 0% 9
10 Multidisciplinary Sciences 2 0% 0% 14

Address terms



chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 EQUIPE ANAL MATH PL 104635 1% 28% 39
2 ABT ANAL 82107 0% 61% 14
3 GEOMETRY 52623 1% 12% 44
4 SHANGYU 48182 0% 100% 5
5 DISKRETE MATH GEOMETRIE 40570 1% 15% 28
6 DISCRETE MATH GEOMETRY 29468 1% 11% 27
7 IND COMP TECHNOL 28909 0% 100% 3
8 ANAL MATH PL 28501 1% 9% 34
9 MATH 27519 35% 0% 1137
10 MATH STAT SCI 24455 3% 3% 84

Journals



chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 DISCRETE & COMPUTATIONAL GEOMETRY 169523 6% 9% 193
2 MATHEMATIKA 77986 3% 10% 85
3 GEOMETRIAE DEDICATA 41208 3% 4% 114
4 ADVANCES IN MATHEMATICS 33017 4% 3% 130
5 ISRAEL JOURNAL OF MATHEMATICS 30752 3% 3% 111
6 ADVANCES IN GEOMETRY 19097 1% 6% 35
7 MONATSHEFTE FUR MATHEMATIK 16285 2% 3% 63
8 LECTURE NOTES IN MATHEMATICS 13515 3% 1% 101
9 GEOMETRIC AND FUNCTIONAL ANALYSIS 11559 1% 3% 36
10 STUDIA MATHEMATICA 11183 2% 2% 59

Author Key Words



chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass LCSH search Wikipedia search
1 CONVEX BODY 1218282 7% 55% 231 Search CONVEX+BODY Search CONVEX+BODY
2 STAR BODY 494058 2% 93% 55 Search STAR+BODY Search STAR+BODY
3 INTERSECTION BODY 375816 1% 100% 39 Search INTERSECTION+BODY Search INTERSECTION+BODY
4 DUAL MIXED VOLUME 260511 1% 97% 28 Search DUAL+MIXED+VOLUME Search DUAL+MIXED+VOLUME
5 PROJECTION BODY 250544 1% 100% 26 Search PROJECTION+BODY Search PROJECTION+BODY
6 DUAL QUERMASSINTEGRALS 222019 1% 96% 24 Search DUAL+QUERMASSINTEGRALS Search DUAL+QUERMASSINTEGRALS
7 BRUNN MINKOWSKI INEQUALITY 213102 1% 54% 41 Search BRUNN+MINKOWSKI+INEQUALITY Search BRUNN+MINKOWSKI+INEQUALITY
8 MINIMUM WEIGHT TRIANGULATION 212398 1% 96% 23 Search MINIMUM+WEIGHT+TRIANGULATION Search MINIMUM+WEIGHT+TRIANGULATION
9 RANDOM POLYTOPES 198798 1% 74% 28 Search RANDOM+POLYTOPES Search RANDOM+POLYTOPES
10 BLASCHKE SANTALO INEQUALITY 186554 1% 88% 22 Search BLASCHKE+SANTALO+INEQUALITY Search BLASCHKE+SANTALO+INEQUALITY

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 2



rank cluster_id2 link
1 3000 STEREOLOGY//RANDOM TESSELLATION//DISECTOR
2 3703 FARTHEST POINT//CHEBYSHEV SET//GENERIC PROPERTY
3 2770 JOURNAL OF COMPLEXITY//QUASI MONTE CARLO METHODS//QUASI MONTE CARLO
4 3776 BRACHISTOCHRONE//PLATEAUS PROBLEM//SYSTOLIC INEQUALITY
5 3894 STIEFEL WHITNEY CLASS//Z2K ACTION//PROJECTIVE SPACE BUNDLE
6 3324 DISCRETE TOMOGRAPHY//DEGREE SEQUENCE//VERTEX RANKING
7 1988 MONOMIAL IDEALS//NUMERICAL SEMIGROUP//EDGE IDEAL
8 1074 MATHEMATICS//ANAL MATEMAT//STUDIA MATHEMATICA
9 1242 STATISTICS & PROBABILITY//COMPLETE CONVERGENCE//THEORY OF PROBABILITY AND ITS APPLICATIONS
10 1402 HOMOGENIZATION//TWO SCALE CONVERGENCE//MATHEMATICS

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