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

Basic class information
Class id #P Avg. number of
references		 Database coverage
of references
2478 3957 19.0 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
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
19754 1                   REDUCED BODY//CONSTANT WIDTH//BIRKHOFF ORTHOGONALITY 490
20975 1                   FARTHEST POINT//CHEBYSHEV SET//REMOTAL SET 438
22474 1                   EHRHART POLYNOMIAL//DELTA VECTOR//LATTICE POLYTOPES 380
22598 1                   DEDEKIND SUMS//SUBDIVISION ALGEBRA//EHRHART POLYNOMIAL 375
23074 1                   EDGEWORTH PARETO HULL//RANDOM POLYTOPES//SYLVESTERS PROBLEM 359
34538 1                   ORTHOCENTRIC SIMPLEX//MASS POINT SYSTEM//RECTANGULAR SIMPLEX 110

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 1187449 6% 62% 250
2 STAR BODY authKW 380189 1% 93% 53
3 INTERSECTION BODY authKW 285452 1% 100% 37
4 DUAL MIXED VOLUME authKW 208567 1% 97% 28
5 PROJECTION BODY authKW 185158 1% 100% 24
6 QUERMASSINTEGRAL authKW 166263 1% 86% 25
7 EHRHART POLYNOMIAL authKW 165776 1% 61% 35
8 BLASCHKE SANTALO INEQUALITY authKW 163244 1% 92% 23
9 MATHEMATICS WoSSC 157637 85% 1% 3361
10 DUAL QUERMASSINTEGRALS authKW 154647 1% 95% 21

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 157637 85% 1% 3361
2 Mathematics, Applied 13257 24% 0% 938
3 Computer Science, Theory & Methods 1513 6% 0% 238
4 Statistics & Probability 1378 5% 0% 200
5 Operations Research & Management Science 70 1% 0% 57
6 Multidisciplinary Sciences 44 1% 0% 33
7 Computer Science, Software Engineering 29 1% 0% 45
8 Physics, Mathematical 25 1% 0% 57
9 Computer Science, Cybernetics 6 0% 0% 8
10 Computer Science, Information Systems 2 1% 0% 33

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 97849 1% 30% 42
2 ABT ANAL 65734 0% 61% 14
3 GEOMETRY 42380 1% 13% 43
4 MATH 39108 37% 0% 1476
5 SHANGYU 38575 0% 100% 5
6 DISKRETE MATH GEOMETRIE 29929 1% 15% 26
7 ANAL MATH PL 23470 1% 9% 34
8 IND COMP TECHNOL 23145 0% 100% 3
9 MATH STAT SCI 19787 2% 3% 81
10 DISCRETE MATH GEOMETRY 18680 1% 11% 23

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 DISCRETE & COMPUTATIONAL GEOMETRY 121131 5% 9% 180
2 MATHEMATIKA 85385 2% 11% 98
3 GEOMETRIAE DEDICATA 46168 3% 4% 134
4 ADVANCES IN MATHEMATICS 39459 4% 3% 155
5 ADVANCES IN GEOMETRY 31413 1% 8% 49
6 ISRAEL JOURNAL OF MATHEMATICS 27051 3% 3% 115
7 MONATSHEFTE FUR MATHEMATIK 16599 2% 3% 70
8 ARCHIV DER MATHEMATIK 11478 2% 2% 87
9 MATHEMATICAL INEQUALITIES & APPLICATIONS 11040 1% 3% 45
10 JOURNAL OF CONVEX ANALYSIS 11025 1% 4% 35

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 1187449 6% 62% 250 Search CONVEX+BODY Search CONVEX+BODY
2 STAR BODY 380189 1% 93% 53 Search STAR+BODY Search STAR+BODY
3 INTERSECTION BODY 285452 1% 100% 37 Search INTERSECTION+BODY Search INTERSECTION+BODY
4 DUAL MIXED VOLUME 208567 1% 97% 28 Search DUAL+MIXED+VOLUME Search DUAL+MIXED+VOLUME
5 PROJECTION BODY 185158 1% 100% 24 Search PROJECTION+BODY Search PROJECTION+BODY
6 QUERMASSINTEGRAL 166263 1% 86% 25 Search QUERMASSINTEGRAL Search QUERMASSINTEGRAL
7 EHRHART POLYNOMIAL 165776 1% 61% 35 Search EHRHART+POLYNOMIAL Search EHRHART+POLYNOMIAL
8 BLASCHKE SANTALO INEQUALITY 163244 1% 92% 23 Search BLASCHKE+SANTALO+INEQUALITY Search BLASCHKE+SANTALO+INEQUALITY
9 DUAL QUERMASSINTEGRALS 154647 1% 95% 21 Search DUAL+QUERMASSINTEGRALS Search DUAL+QUERMASSINTEGRALS
10 KINEMATIC FORMULA 154647 1% 95% 21 Search KINEMATIC+FORMULA Search KINEMATIC+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 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 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 53 100% 0
5 LUTWAK, E , YANG, D , ZHANG, GY , (2010) ORLICZ CENTROID BODIES.JOURNAL OF DIFFERENTIAL GEOMETRY. VOL. 84. ISSUE 2. P. 365-387 51 100% 62
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 51 100% 53
7 ZHU, GX , (2012) THE ORLICZ CENTROID INEQUALITY FOR STAR BODIES.ADVANCES IN APPLIED MATHEMATICS. VOL. 48. ISSUE 2. P. 432 -445 53 100% 13
8 ZOU, D , XIONG, G , (2014) ORLICZ JOHN ELLIPSOIDS.ADVANCES IN MATHEMATICS. VOL. 265. ISSUE . P. 132 -168 49 98% 7
9 BOROCZKY, KJ , HEGEDUS, P , ZHU, GX , (2016) ON THE DISCRETE LOGARITHMIC MINKOWSKI PROBLEM.INTERNATIONAL MATHEMATICS RESEARCH NOTICES. VOL. . ISSUE 6. P. 1807 -1838 51 88% 1
10 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

Classes with closest relation at Level 2


Rank Class id link
1 3082 RANDOM TESSELLATION//BOOLEAN MODEL//STOCHASTIC GEOMETRY
2 1493 MATHEMATICS//ANAL MATEMAT//VECTOR MEASURE
3 3487 OPTIMAL TRANSPORT//OPTIMAL TRANSPORTATION//MONGE KANTOROVICH PROBLEM
4 3367 MEDIAN GRAPH//GEODETIC NUMBER//FIBONACCI CUBE
5 3335 GEOMETRIC CONSTRAINT SOLVING//EUCLIDEAN DISTANCE MATRICES//INFINITESIMAL RIGIDITY
6 3681 JOURNAL OF APPROXIMATION THEORY//EXISTENCE PROBLEM//POLYA ALGORITHM
7 1441 GRAPH DRAWING//DISCRETE & COMPUTATIONAL GEOMETRY//CROSSING NUMBER
8 2388 RANDOM MATRICES//RANDOM MATRICES-THEORY AND APPLICATIONS//RANDOM MATRIX
9 2282 LOCAL COHOMOLOGY//MONOMIAL IDEALS//LOCAL COHOMOLOGY MODULES
10 2651 STEINS METHOD//ZERO INFLATION//POISSON APPROXIMATION

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