Class information for:
Level 1: EDGEWORTH PARETO HULL//RANDOM POLYTOPES//SYLVESTERS PROBLEM

Basic class information
Class id #P Avg. number of
references		 Database coverage
of references
23074 359 18.3 30%


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
23074 1                   EDGEWORTH PARETO HULL//RANDOM POLYTOPES//SYLVESTERS PROBLEM 359

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 EDGEWORTH PARETO HULL authKW 765504 3% 100% 9
2 RANDOM POLYTOPES authKW 682793 5% 47% 17
3 SYLVESTERS PROBLEM authKW 425280 1% 100% 5
4 POLYHEDRAL APPROXIMATION authKW 386607 3% 45% 10
5 APPROXIMATION OF CONVEX BODIES authKW 382749 2% 75% 6
6 MULTIDIMENSIONAL BALL authKW 255168 1% 100% 3
7 NONLINEAR MULTICRITERIA OPTIMIZATION authKW 255168 1% 100% 3
8 POLYHEDRAL APPROXIMATION OF CONVEX BODIES authKW 255168 1% 100% 3
9 POLYNOMIAL STRIP authKW 255168 1% 100% 3
10 RANDOM CONVEX HULL authKW 255168 1% 100% 3

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 3548 43% 0% 155
2 Statistics & Probability 3247 23% 0% 84
3 Mathematics, Applied 1730 28% 0% 101
4 Physics, Mathematical 412 10% 0% 36
5 Computer Science, Theory & Methods 376 9% 0% 34
6 Computer Science, Cybernetics 189 2% 0% 8
7 Operations Research & Management Science 70 4% 0% 13
8 Computer Science, Software Engineering 55 3% 0% 12
9 Computer Science, Artificial Intelligence 48 4% 0% 13
10 Multidisciplinary Sciences 36 2% 0% 7

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 ABT ANAL 181197 2% 30% 7
2 DORODNICYN COMP 115505 8% 5% 29
3 FAK MATH INFORMAT 6 85056 0% 100% 1
4 FKSU 85056 0% 100% 1
5 FLUID MECHMINIST EDUC 85056 0% 100% 1
6 GLOBAL EQUITIES 85056 0% 100% 1
7 GRP C 3 85056 0% 100% 1
8 MATH EDUC ORANIM 85056 0% 100% 1
9 MATH MODELLING ECON SYST 85056 0% 100% 1
10 MPA5 85056 0% 100% 1

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 COMPUTATIONAL MATHEMATICS AND MATHEMATICAL PHYSICS 60034 10% 2% 36
2 ADVANCES IN APPLIED PROBABILITY 19383 6% 1% 21
3 MONOGRAPHS ON STATISTICS AND APPLIED PROBABILITY 14174 0% 17% 1
4 DISCRETE & COMPUTATIONAL GEOMETRY 10549 4% 1% 16
5 MATHEMATIKA 6270 2% 1% 8
6 JOURNAL OF APPLIED PROBABILITY 6260 4% 0% 16
7 PROBABILITY THEORY AND RELATED FIELDS 6165 4% 1% 13
8 JOURNAL OF COMPUTER AND SYSTEMS SCIENCES INTERNATIONAL 3948 2% 1% 7
9 COMPUTATIONAL GEOMETRY-THEORY AND APPLICATIONS 3852 2% 1% 7
10 JOURNAL OF APPROXIMATION THEORY 2998 3% 0% 11

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 EDGEWORTH PARETO HULL 765504 3% 100% 9 Search EDGEWORTH+PARETO+HULL Search EDGEWORTH+PARETO+HULL
2 RANDOM POLYTOPES 682793 5% 47% 17 Search RANDOM+POLYTOPES Search RANDOM+POLYTOPES
3 SYLVESTERS PROBLEM 425280 1% 100% 5 Search SYLVESTERS+PROBLEM Search SYLVESTERS+PROBLEM
4 POLYHEDRAL APPROXIMATION 386607 3% 45% 10 Search POLYHEDRAL+APPROXIMATION Search POLYHEDRAL+APPROXIMATION
5 APPROXIMATION OF CONVEX BODIES 382749 2% 75% 6 Search APPROXIMATION+OF+CONVEX+BODIES Search APPROXIMATION+OF+CONVEX+BODIES
6 MULTIDIMENSIONAL BALL 255168 1% 100% 3 Search MULTIDIMENSIONAL+BALL Search MULTIDIMENSIONAL+BALL
7 NONLINEAR MULTICRITERIA OPTIMIZATION 255168 1% 100% 3 Search NONLINEAR+MULTICRITERIA+OPTIMIZATION Search NONLINEAR+MULTICRITERIA+OPTIMIZATION
8 POLYHEDRAL APPROXIMATION OF CONVEX BODIES 255168 1% 100% 3 Search POLYHEDRAL+APPROXIMATION+OF+CONVEX+BODIES Search POLYHEDRAL+APPROXIMATION+OF+CONVEX+BODIES
9 POLYNOMIAL STRIP 255168 1% 100% 3 Search POLYNOMIAL+STRIP Search POLYNOMIAL+STRIP
10 RANDOM CONVEX HULL 255168 1% 100% 3 Search RANDOM+CONVEX+HULL Search RANDOM+CONVEX+HULL

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 BUCHTA, C , (2005) AN IDENTITY RELATING MOMENTS OF FUNCTIONALS OF CONVEX HULLS.DISCRETE & COMPUTATIONAL GEOMETRY. VOL. 33. ISSUE 1. P. 125-142 25 93% 17
2 BARANY, I , (2008) RANDOM POINTS AND LATTICE POINTS IN CONVEX BODIES.BULLETIN OF THE AMERICAN MATHEMATICAL SOCIETY. VOL. 45. ISSUE 3. P. 339 -365 28 65% 14
3 BUCHTA, C , (2013) EXACT FORMULAE FOR VARIANCES OF FUNCTIONALS OF CONVEX HULLS.ADVANCES IN APPLIED PROBABILITY. VOL. 45. ISSUE 4. P. 917-924 16 100% 1
4 REITZNER, M , (2003) RANDOM POLYTOPES AND THE EFRON-STEIN JACKKNIFE INEQUALITY.ANNALS OF PROBABILITY. VOL. 31. ISSUE 4. P. 2136-2166 24 83% 26
5 BARANY, I , (2007) RANDOM POLYTOPES, CONVEX BODIES, AND APPROXIMATION.STOCHASTIC GEOMETRY. VOL. 1892. ISSUE . P. 77 -118 20 77% 13
6 BEERMANN, M , REITZNER, M , (2015) BEYOND THE EFRON-BUCHTA IDENTITIES: DISTRIBUTIONAL RESULTS FOR POISSON POLYTOPES.DISCRETE & COMPUTATIONAL GEOMETRY. VOL. 53. ISSUE 1. P. 226 -244 12 100% 1
7 BARANY, I , REITZNER, M , (2010) ON THE VARIANCE OF RANDOM POLYTOPES.ADVANCES IN MATHEMATICS. VOL. 225. ISSUE 4. P. 1986 -2001 15 88% 10
8 BARANY, I , REITZNER, M , (2010) POISSON POLYTOPES.ANNALS OF PROBABILITY. VOL. 38. ISSUE 4. P. 1507-1531 15 83% 12
9 BOROCZKY, KJ , FODOR, F , REITZNER, M , VIGH, V , (2009) MEAN WIDTH OF RANDOM POLYTOPES IN A REASONABLY SMOOTH CONVEX BODY.JOURNAL OF MULTIVARIATE ANALYSIS. VOL. 100. ISSUE 10. P. 2287 -2295 13 100% 2
10 KAMENEV, GK , (2016) EFFICIENCY OF THE ESTIMATE REFINEMENT METHOD FOR POLYHEDRAL APPROXIMATION OF MULTIDIMENSIONAL BALLS.COMPUTATIONAL MATHEMATICS AND MATHEMATICAL PHYSICS. VOL. 56. ISSUE 5. P. 744 -755 11 100% 0

Classes with closest relation at Level 1


Rank Class id link
1 23167 EXCESS MASS//SIZER//LEVEL SET ESTIMATION
2 20237 RANDOM TESSELLATION//TYPICAL CELL//POISSON VORONOI TESSELLATION
3 4326 CONVEX BODY//STAR BODY//INTERSECTION BODY
4 34905 SANTA FE BAR PROBLEM//POTLUCK PROBLEM//WEIGHTED MAJORITY ALGORITHM
5 30563 ERDOS SZEKERES THEOREM//EMPTY CONVEX POLYGONS//ERDOS SZEKERES PROBLEM
6 22474 EHRHART POLYNOMIAL//DELTA VECTOR//LATTICE POLYTOPES
7 34673 PRODUCT LIFTING//STOCHAST ANWENDUNGEN//JORDAN MEASURABLE SET
8 33884 JOURNAL OF COMPUTER AND SYSTEMS SCIENCES INTERNATIONAL//ACTUAL COMPUTING WORKLOAD//AEROKOSMOS
9 898 COMPUTATIONAL GEOMETRY//COMPUTATIONAL GEOMETRY-THEORY AND APPLICATIONS//INTERNATIONAL JOURNAL OF COMPUTATIONAL GEOMETRY & APPLICATIONS
10 34062 CURVATURE BOUNDED ABOVE//CATK SPACES//LAMBDA CONVEX SET

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