Class information for:
Level 1: CONVEX BODY//STAR BODY//INTERSECTION BODY

Basic class information
Class id #P Avg. number of
references		 Database coverage
of references
4326 1805 22.6 44%


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
688 3       CONVEX BODY//STEREOLOGY//STAR BODY 8168
2478 2             CONVEX BODY//STAR BODY//INTERSECTION BODY 3957
4326 1                   CONVEX BODY//STAR BODY//INTERSECTION BODY 1805

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 CONVEX BODY authKW 1535679 11% 47% 192
2 STAR BODY authKW 833593 3% 93% 53
3 INTERSECTION BODY authKW 625868 2% 100% 37
4 DUAL MIXED VOLUME authKW 457296 2% 97% 28
5 PROJECTION BODY authKW 372841 1% 96% 23
6 DUAL QUERMASSINTEGRALS authKW 339074 1% 95% 21
7 KINEMATIC FORMULA authKW 339074 1% 95% 21
8 QUERMASSINTEGRAL authKW 335966 1% 83% 24
9 BRUNN MINKOWSKI INEQUALITY authKW 330781 2% 53% 37
10 BLASCHKE SANTALO INEQUALITY authKW 327476 1% 88% 22

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 80466 90% 0% 1620
2 Mathematics, Applied 5463 23% 0% 408
3 Statistics & Probability 861 6% 0% 105
4 Computer Science, Theory & Methods 114 3% 0% 52
5 COMPUTER APPLICATIONS & CYBERNETICS 5 0% 0% 1
6 Computer Science, Information Systems 0 1% 0% 13
7 Microscopy -0 0% 0% 2
8 Automation & Control Systems -0 0% 0% 7
9 Multidisciplinary Sciences -0 0% 0% 4
10 Operations Research & Management Science -2 0% 0% 5

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 EQUIPE ANAL MATH PL 214608 2% 30% 42
2 SHANGYU 84577 0% 100% 5
3 IND COMP TECHNOL 50746 0% 100% 3
4 ANAL MATH PL 48544 2% 9% 33
5 DISKRETE MATH GEOMETRIE 42835 1% 12% 21
6 MATH STAT SCI 39367 4% 3% 77
7 GAOZHOU NORMAL 38660 0% 57% 4
8 DISCRETE MATH GEOMETRY 34181 1% 10% 21
9 CNRS UMR C5583 33831 0% 100% 2
10 MANAGEMENT DECIS INNOVAT 30445 0% 60% 3

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 ADVANCES IN MATHEMATICS 51149 7% 3% 119
2 MATHEMATIKA 43059 3% 5% 47
3 ISRAEL JOURNAL OF MATHEMATICS 39770 5% 3% 94
4 GEOMETRIAE DEDICATA 23094 4% 2% 64
5 LECTURE NOTES IN MATHEMATICS 22156 5% 1% 97
6 DISCRETE & COMPUTATIONAL GEOMETRY 17302 3% 2% 46
7 MATHEMATICAL INEQUALITIES & APPLICATIONS 16422 2% 3% 37
8 GEOMETRIC AND FUNCTIONAL ANALYSIS 14482 2% 3% 30
9 ADVANCES IN APPLIED MATHEMATICS 14372 2% 2% 35
10 STUDIA MATHEMATICA 9661 2% 1% 41

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 CONVEX BODY 1535679 11% 47% 192 Search CONVEX+BODY Search CONVEX+BODY
2 STAR BODY 833593 3% 93% 53 Search STAR+BODY Search STAR+BODY
3 INTERSECTION BODY 625868 2% 100% 37 Search INTERSECTION+BODY Search INTERSECTION+BODY
4 DUAL MIXED VOLUME 457296 2% 97% 28 Search DUAL+MIXED+VOLUME Search DUAL+MIXED+VOLUME
5 PROJECTION BODY 372841 1% 96% 23 Search PROJECTION+BODY Search PROJECTION+BODY
6 DUAL QUERMASSINTEGRALS 339074 1% 95% 21 Search DUAL+QUERMASSINTEGRALS Search DUAL+QUERMASSINTEGRALS
7 KINEMATIC FORMULA 339074 1% 95% 21 Search KINEMATIC+FORMULA Search KINEMATIC+FORMULA
8 QUERMASSINTEGRAL 335966 1% 83% 24 Search QUERMASSINTEGRAL Search QUERMASSINTEGRAL
9 BRUNN MINKOWSKI INEQUALITY 330781 2% 53% 37 Search BRUNN+MINKOWSKI+INEQUALITY Search BRUNN+MINKOWSKI+INEQUALITY
10 BLASCHKE SANTALO INEQUALITY 327476 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.


Rank Reference # ref.
in cl.		 Shr. of ref. in
cl.		 Citations
1 BOROCZKY, KJ , LUTWAK, E , YANG, DA , ZHANG, GY , (2015) AFFINE IMAGES OF ISOTROPIC MEASURES.JOURNAL OF DIFFERENTIAL GEOMETRY. VOL. 99. ISSUE 3. P. 407 -442 70 99% 1
2 HABERL, C , PARAPATITS, L , (2014) THE CENTRO-AFFINE HADWIGER THEOREM.JOURNAL OF THE AMERICAN MATHEMATICAL SOCIETY. VOL. 27. ISSUE 3. P. 685 -705 63 97% 18
3 HABERL, C , (2012) MINKOWSKI VALUATIONS INTERTWINING WITH THE SPECIAL LINEAR GROUP.JOURNAL OF THE EUROPEAN MATHEMATICAL SOCIETY. VOL. 14. ISSUE 5. P. 1565-1597 57 98% 34
4 LUTWAK, E , YANG, D , ZHANG, GY , (2010) ORLICZ CENTROID BODIES.JOURNAL OF DIFFERENTIAL GEOMETRY. VOL. 84. ISSUE 2. P. 365-387 51 100% 62
5 ZHU, GX , (2012) THE ORLICZ CENTROID INEQUALITY FOR STAR BODIES.ADVANCES IN APPLIED MATHEMATICS. VOL. 48. ISSUE 2. P. 432 -445 53 100% 13
6 HABERL, C , LUTWAK, E , YANG, DAE , ZHANG, GY , (2010) THE EVEN ORLICZ MINKOWSKI PROBLEM.ADVANCES IN MATHEMATICS. VOL. 224. ISSUE 6. P. 2485 -2510 50 98% 53
7 YE, DP , (2016) DUAL ORLICZ-BRUNN-MINKOWSKI THEORY: DUAL ORLICZ L-PHI AFFINE AND GEOMINIMAL SURFACE AREAS.JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS. VOL. 443. ISSUE 1. P. 352 -371 51 96% 0
8 BOROCZKY, KJ , LUTWAK, E , YANG, DN , ZHANG, GY , (2012) THE LOG-BRUNN-MINKOWSKI INEQUALITY.ADVANCES IN MATHEMATICS. VOL. 231. ISSUE 3-4. P. 1974-1997 49 94% 30
9 ZOU, D , XIONG, G , (2014) ORLICZ JOHN ELLIPSOIDS.ADVANCES IN MATHEMATICS. VOL. 265. ISSUE . P. 132 -168 48 96% 7
10 SCHUSTER, FE , WANNERER, T , (2015) EVEN MINKOWSKI VALUATIONS.AMERICAN JOURNAL OF MATHEMATICS. VOL. 137. ISSUE 6. P. 1651 -1683 49 94% 2

Classes with closest relation at Level 1


Rank Class id link
1 23074 EDGEWORTH PARETO HULL//RANDOM POLYTOPES//SYLVESTERS PROBLEM
2 35122 ALPHA CONCAVITY//ALGEBRA OF CONTINUOUS VECTOR VALUED FUNCTIONS//ANTI HOMOMORPHISMS
3 20218 POLYA SZEGO INEQUALITY//MANIFOLDS WITH DENSITY//STEINER SYMMETRIZATION
4 19898 ENTROPY NUMBERS//APPROXIMATION NUMBERS//COMPACT EMBEDDINGS
5 34062 CURVATURE BOUNDED ABOVE//CATK SPACES//LAMBDA CONVEX SET
6 22474 EHRHART POLYNOMIAL//DELTA VECTOR//LATTICE POLYTOPES
7 26498 PINSKERS INEQUALITY//COVARIANCE IDENTITY//CHERNOFF TYPE INEQUALITY
8 19754 REDUCED BODY//CONSTANT WIDTH//BIRKHOFF ORTHOGONALITY
9 12736 LOGARITHMIC SOBOLEV INEQUALITY//SUPER POINCARE INEQUALITY//TRANSPORTATION INEQUALITIES
10 32718 LINEAR POLARIZATION CONSTANTS//POLARIZATION CONSTANT//PRODUCT OF LINEAR FUNCTIONALS

Go to start page