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

Basic class information

ID Publications Average number
of references
Avg. shr. active
ref. in WoS
2236 4295 18.8 35%



Bar chart of Publication_year

Last years might be incomplete

Classes in level above (level 3)



ID, lev.
above
Publications Label for level above
662 6250 CONVEX BODY//STEREOLOGY//STAR BODY

Classes in level below (level 1)



ID, lev. below Publications Label for level below
4488 1703 STAR BODY//INTERSECTION BODY//CONVEX BODY
13360 778 RANDOM TESSELLATION//TYPICAL CELL//POISSON VORONOI TESSELLATION
20092 413 SUM OF DISTANCES//CENTER DENSITY//CONVEX DISK
21309 365 APPROXIMATION OF CONVEX BODIES//EDGEWORTH PARETO HULL//SYLVESTERS PROBLEM
21328 364 REDUCED BODY//BIRKHOFF ORTHOGONALITY//ISOSCELES ORTHOGONALITY
23583 286 REMOTAL SET//CHEBYSHEV SET//FARTHEST POINTS
26690 203 KINEMATIC FORMULA//ISOPERIMETRIC DEFICIT//CONTAINMENT MEASURE
27696 183 GUILLOTINE PARTITIONS//SORTABILITY//MOSAIC FLOORPLAN

Terms with highest relevance score



Rank Term Type of term Relevance score
(tfidf)
Class's shr.
of term's tot.
occurrences
Shr. of publ.
in class containing
term
Num. of
publ. in
class
1 CONVEX BODY Author keyword 143 63% 3% 145
2 STAR BODY Author keyword 83 90% 1% 36
3 CONVEX BODIES Author keyword 79 60% 2% 87
4 INTERSECTION BODY Author keyword 72 100% 1% 23
5 KINEMATIC FORMULA Author keyword 56 100% 0% 19
6 RANDOM TESSELLATION Author keyword 50 77% 1% 34
7 BLASCHKE SANTALO INEQUALITY Author keyword 48 91% 0% 20
8 PROJECTION BODY Author keyword 42 94% 0% 15
9 AFFINE SURFACE AREA Author keyword 38 89% 0% 17
10 BRUNN MINKOWSKI INEQUALITY Author keyword 38 62% 1% 40

Web of Science journal categories

Author Key Words



Rank Web of Science journal category Relevance score
(tfidf)
Class's shr.
of term's tot.
occurrences
Shr. of publ.
in class containing
term
Num. of
publ. in
class
LCSH search Wikipedia search
1 CONVEX BODY 143 63% 3% 145 Search CONVEX+BODY Search CONVEX+BODY
2 STAR BODY 83 90% 1% 36 Search STAR+BODY Search STAR+BODY
3 CONVEX BODIES 79 60% 2% 87 Search CONVEX+BODIES Search CONVEX+BODIES
4 INTERSECTION BODY 72 100% 1% 23 Search INTERSECTION+BODY Search INTERSECTION+BODY
5 KINEMATIC FORMULA 56 100% 0% 19 Search KINEMATIC+FORMULA Search KINEMATIC+FORMULA
6 RANDOM TESSELLATION 50 77% 1% 34 Search RANDOM+TESSELLATION Search RANDOM+TESSELLATION
7 BLASCHKE SANTALO INEQUALITY 48 91% 0% 20 Search BLASCHKE+SANTALO+INEQUALITY Search BLASCHKE+SANTALO+INEQUALITY
8 PROJECTION BODY 42 94% 0% 15 Search PROJECTION+BODY Search PROJECTION+BODY
9 AFFINE SURFACE AREA 38 89% 0% 17 Search AFFINE+SURFACE+AREA Search AFFINE+SURFACE+AREA
10 BRUNN MINKOWSKI INEQUALITY 38 62% 1% 40 Search BRUNN+MINKOWSKI+INEQUALITY Search BRUNN+MINKOWSKI+INEQUALITY

Key Words Plus



Rank Web of Science journal category Relevance score
(tfidf)
Class's shr.
of term's tot.
occurrences
Shr. of publ.
in class containing
term
Num. of
publ. in
class
1 CONVEX BODIES 409 66% 9% 375
2 INTERSECTION BODIES 364 96% 3% 109
3 BUSEMANN PETTY PROBLEM 330 96% 2% 101
4 MINKOWSKI FIREY THEORY 327 97% 2% 94
5 AFFINE ISOPERIMETRIC INEQUALITIES 308 100% 2% 72
6 DUAL MIXED VOLUMES 256 95% 2% 83
7 PROJECTION BODIES 210 100% 1% 53
8 MIXED VOLUMES 182 98% 1% 47
9 INVARIANT VALUATIONS 176 100% 1% 46
10 ZONOIDS 172 98% 1% 45

Journals



Rank Web of Science journal category Relevance score
(tfidf)
Class's shr.
of term's tot.
occurrences
Shr. of publ.
in class containing
term
Num. of
publ. in
class
1 DISCRETE & COMPUTATIONAL GEOMETRY 21 10% 5% 196
2 MATHEMATIKA 12 12% 2% 95
3 IMAGE ANALYSIS & STEREOLOGY 3 17% 0% 17

Reviews



Title Publ. year Cit. Active
references
% act. ref.
to same field
The Brunn-Minkowski inequality 2002 210 70 67%
The geometry of Minkowski spaces - A survey. Part II 2004 51 48 33%
Random sets: Models and statistics 1998 37 28 43%
Monotonicity inequalities for L-p Blaschke-Minkowski homomorphisms 2014 0 9 100%
CONVEX BODIES AND GAUSSIAN PROCESSES 2010 0 7 100%
The problem of convexity of Chebyshev sets 1996 20 22 50%
NOTE ON THE LIFE AND WORK OF L. A. SANTALO 2009 0 27 56%
Symmetry-Break in Voronoi Tessellations 2009 4 43 28%
FACTORIZATIONS OF NATURAL EMBEDDINGS OF LPN INTO LR .1. 1988 6 3 67%
ASYMPTOTIC THEORY OF FINITE DIMENSIONAL NORMED SPACES 1986 4 25 72%

Address terms



Rank Address term Relevance score
(tfidf)
Class's shr.
of term's tot.
occurrences
Shr. of publ.
in class containing
term
Num. of
publ. in
class
1 EQUIPE ANAL MATH PL 14 29% 1.0% 41
2 ABT ANAL 13 61% 0.3% 14
3 STOCHAST 8 13% 1.5% 63
4 GEOMETRY 8 15% 1.1% 46
5 SHANGYU 6 100% 0.1% 4
6 HBEREICH GRUNDLAGENWISSEN 5 63% 0.1% 5
7 DISKRETE MATH GEOMETRIE 4 15% 0.5% 23
8 MATH 2 3 11% 0.6% 27
9 FRAUNHOFER INTEGRATED CIRCUITS 3 60% 0.1% 3
10 MANAGEMENT DECIS INNOVAT 3 60% 0.1% 3

Related classes at same level (level 2)



Rank Relatedness score Related classes
1 0.0000012737 OPTIMAL TRANSPORT//MONGE AMPERE EQUATION//OPTIMAL TRANSPORTATION
2 0.0000011953 STEREOLOGY//DISECTOR//CAVALIERI ESTIMATOR
3 0.0000011423 CUTTING ANGLE METHOD//LIPSCHITZ PROGRAMMING//NEWTONS PROBLEM
4 0.0000010862 Z2K ACTION//PROJECTIVE SPACE BUNDLE//FIXED DATA
5 0.0000010562 ANAL MATEMAT//JAMES CONSTANT//STUDIA MATHEMATICA
6 0.0000009505 GEOMATH GRP//SPHERICAL DESIGNS//NEEDLETS
7 0.0000009174 INTERSECTING FAMILY//ERDOS KO RADO THEOREM//ERDOS KO RADO
8 0.0000008681 COMPLETE CONVERGENCE//COMPLETE MOMENT CONVERGENCE//THEORY OF PROBABILITY AND ITS APPLICATIONS
9 0.0000008635 DISCRETE TOMOGRAPHY//PARIKH MATRIX//SCATTERED SUBWORD
10 0.0000007906 MAHLER MEASURE//HILBERTS TENTH PROBLEM//INTEGER TRANSFINITE DIAMETER