Class information for:
Level 1: 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

Terms with highest relevance score



rank Category termType chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 CONVEX BODY authKW 1513270 10% 46% 194
2 STAR BODY authKW 870072 3% 93% 55
3 INTERSECTION BODY authKW 661836 2% 100% 39
4 DUAL MIXED VOLUME authKW 458777 2% 97% 28
5 PROJECTION BODY authKW 407934 1% 96% 25
6 DUAL QUERMASSINTEGRALS authKW 390990 1% 96% 24
7 BRUNN MINKOWSKI INEQUALITY authKW 375315 2% 54% 41
8 BLASCHKE SANTALO INEQUALITY authKW 328537 1% 88% 22
9 KINEMATIC FORMULA authKW 311821 1% 88% 21
10 QUERMASSINTEGRAL authKW 299230 1% 77% 23

Web of Science journal categories



chi_square_rank Category chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 Mathematics 84319 91% 0% 1686
2 Mathematics, Applied 5678 23% 0% 422
3 Statistics & Probability 762 5% 0% 101
4 Computer Science, Theory & Methods 140 3% 0% 57
5 Multidisciplinary Sciences -0 0% 0% 4
6 Microscopy -1 0% 0% 1
7 Computer Science, Information Systems -1 0% 0% 9
8 Computer Science, Software Engineering -1 0% 0% 6
9 Automation & Control Systems -2 0% 0% 4
10 Computer Science, Hardware & Architecture -4 0% 0% 1

Address terms



chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 EQUIPE ANAL MATH PL 184312 2% 28% 39
2 SHANGYU 84851 0% 100% 5
3 IND COMP TECHNOL 50910 0% 100% 3
4 ANAL MATH PL 50239 2% 9% 34
5 DISKRETE MATH GEOMETRIE 48224 1% 12% 23
6 DISCRETE MATH GEOMETRY 44520 1% 11% 25
7 MATH STAT SCI 42166 4% 3% 83
8 GAOZHOU NORMAL 38785 0% 57% 4
9 CNRS UMR C5583 33940 0% 100% 2
10 MANAGEMENT DECIS INNOVAT 30544 0% 60% 3

Journals



chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 ADVANCES IN MATHEMATICS 52210 7% 3% 123
2 ISRAEL JOURNAL OF MATHEMATICS 40605 5% 3% 96
3 MATHEMATIKA 40215 2% 5% 46
4 GEOMETRIAE DEDICATA 26592 4% 2% 69
5 LECTURE NOTES IN MATHEMATICS 22544 5% 1% 98
6 DISCRETE & COMPUTATIONAL GEOMETRY 21615 3% 2% 52
7 GEOMETRIC AND FUNCTIONAL ANALYSIS 18200 2% 3% 34
8 MATHEMATICAL INEQUALITIES & APPLICATIONS 16920 2% 3% 38
9 STUDIA MATHEMATICA 16561 3% 2% 54
10 ADVANCES IN APPLIED MATHEMATICS 15657 2% 3% 37

Author Key Words



chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass LCSH search Wikipedia search
1 CONVEX BODY 1513270 10% 46% 194 Search CONVEX+BODY Search CONVEX+BODY
2 STAR BODY 870072 3% 93% 55 Search STAR+BODY Search STAR+BODY
3 INTERSECTION BODY 661836 2% 100% 39 Search INTERSECTION+BODY Search INTERSECTION+BODY
4 DUAL MIXED VOLUME 458777 2% 97% 28 Search DUAL+MIXED+VOLUME Search DUAL+MIXED+VOLUME
5 PROJECTION BODY 407934 1% 96% 25 Search PROJECTION+BODY Search PROJECTION+BODY
6 DUAL QUERMASSINTEGRALS 390990 1% 96% 24 Search DUAL+QUERMASSINTEGRALS Search DUAL+QUERMASSINTEGRALS
7 BRUNN MINKOWSKI INEQUALITY 375315 2% 54% 41 Search BRUNN+MINKOWSKI+INEQUALITY Search BRUNN+MINKOWSKI+INEQUALITY
8 BLASCHKE SANTALO INEQUALITY 328537 1% 88% 22 Search BLASCHKE+SANTALO+INEQUALITY Search BLASCHKE+SANTALO+INEQUALITY
9 KINEMATIC FORMULA 311821 1% 88% 21 Search KINEMATIC+FORMULA Search KINEMATIC+FORMULA
10 QUERMASSINTEGRAL 299230 1% 77% 23 Search QUERMASSINTEGRAL Search QUERMASSINTEGRAL

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 38203 MEASURABLE POLYNOMIALS//DISTRIBUTION OF QUADRATIC FORMS//ANALOGUES OF ISOPERIMETRIC CHERNOFF INEQUALITY
2 21017 EDGEWORTH PARETO HULL//RANDOM POLYTOPES//POLYHEDRAL APPROXIMATION
3 19790 STEINER SYMMETRIZATION//POLYA SZEGO INEQUALITY//ISOPERIMETRIC INEQUALITY
4 18393 ENTROPY NUMBERS//SMALL DEVIATIONS//SMALL BALL PROBABILITY
5 13151 RANDOM TESSELLATION//TYPICAL CELL//BOOLEAN MODEL
6 26479 HOROSPHERICAL TRANSFORM//INVERSION FORMULA//RADON TRANSFORM
7 21608 SMALLEST ENCLOSING CYLINDER//CORE SETS//INNER AND OUTER RADII
8 12911 LOGARITHMIC SOBOLEV INEQUALITY//SUPER POINCARE INEQUALITY//LOGARITHMIC SOBOLEV INEQUALITIES
9 25244 REDUCED BODY//NORMED PLANE//BIRKHOFF ORTHOGONALITY
10 31956 MEISSNERS BODY//MINIMAL ISOMETRIC IMMERSIONS//SPHERICAL MINIMAL IMMERSION

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