Class information for:
Level 1: REDUCED BODY//CONSTANT WIDTH//BIRKHOFF ORTHOGONALITY

Basic class information
Class id #P Avg. number of
references		 Database coverage
of references
19754 490 14.7 23%


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
19754 1                   REDUCED BODY//CONSTANT WIDTH//BIRKHOFF ORTHOGONALITY 490

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 REDUCED BODY authKW 810108 3% 100% 13
2 CONSTANT WIDTH authKW 759654 3% 76% 16
3 BIRKHOFF ORTHOGONALITY authKW 643177 3% 61% 17
4 NORMED PLANE authKW 643177 3% 61% 17
5 ISOSCELES ORTHOGONALITY authKW 585071 3% 72% 13
6 HADWIGERS COVERING PROBLEM authKW 311580 1% 100% 5
7 RADON CURVES authKW 311580 1% 100% 5
8 MINKOWSKI PLANE authKW 299102 2% 40% 12
9 EQUILATERAL SET authKW 280419 1% 75% 6
10 BODY OF CONSTANT WIDTH authKW 259648 1% 83% 5

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 22172 90% 0% 443
2 Mathematics, Applied 2018 26% 0% 128
3 Computer Science, Theory & Methods 629 10% 0% 51
4 Multidisciplinary Sciences 23 1% 0% 7
5 Computer Science, Software Engineering 12 2% 0% 8
6 Physics, Mathematical 1 1% 0% 6
7 Operations Research & Management Science 1 1% 0% 4
8 Automation & Control Systems 0 1% 0% 3
9 Computer Science, Hardware & Architecture -0 0% 0% 1
10 Statistics & Probability -0 0% 0% 2

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 GEOMETRY 115869 5% 7% 25
2 ELE INFORM ENGN 62316 0% 100% 1
3 IMAG STRUCT DISC DIDAC 62316 0% 100% 1
4 INFORMAT FONDAMENTALE BIOMATH 62316 0% 100% 1
5 JANA JEDRZEJA SNIADECKICH MATEMAT FIZYKI 62316 0% 100% 1
6 MATEMAT ANAL TANSZEK 62316 0% 100% 1
7 TTK GEOMET TANSZEK 62316 0% 100% 1
8 UNIV BEREICH VAIHINGEN 62316 0% 100% 1
9 YBL ARCHITECTURE CIVIL ENGN 62316 0% 100% 1
10 GEOMETRY INFORMAT 31157 0% 50% 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 DISCRETE & COMPUTATIONAL GEOMETRY 58536 9% 2% 44
2 GEOMETRIAE DEDICATA 20008 6% 1% 31
3 AEQUATIONES MATHEMATICAE 15687 2% 2% 11
4 JOURNAL OF CONVEX ANALYSIS 14308 3% 2% 14
5 ADVANCES IN GEOMETRY 12802 2% 2% 11
6 MATHEMATIKA 12135 3% 2% 13
7 STUDIA SCIENTIARUM MATHEMATICARUM HUNGARICA 8423 2% 2% 9
8 CONTRIBUTIONS TO DISCRETE MATHEMATICS 7374 1% 4% 3
9 PERIODICA MATHEMATICA HUNGARICA 6891 1% 2% 6
10 RESULTS IN MATHEMATICS 5665 2% 1% 8

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 REDUCED BODY 810108 3% 100% 13 Search REDUCED+BODY Search REDUCED+BODY
2 CONSTANT WIDTH 759654 3% 76% 16 Search CONSTANT+WIDTH Search CONSTANT+WIDTH
3 BIRKHOFF ORTHOGONALITY 643177 3% 61% 17 Search BIRKHOFF+ORTHOGONALITY Search BIRKHOFF+ORTHOGONALITY
4 NORMED PLANE 643177 3% 61% 17 Search NORMED+PLANE Search NORMED+PLANE
5 ISOSCELES ORTHOGONALITY 585071 3% 72% 13 Search ISOSCELES+ORTHOGONALITY Search ISOSCELES+ORTHOGONALITY
6 HADWIGERS COVERING PROBLEM 311580 1% 100% 5 Search HADWIGERS+COVERING+PROBLEM Search HADWIGERS+COVERING+PROBLEM
7 RADON CURVES 311580 1% 100% 5 Search RADON+CURVES Search RADON+CURVES
8 MINKOWSKI PLANE 299102 2% 40% 12 Search MINKOWSKI+PLANE Search MINKOWSKI+PLANE
9 EQUILATERAL SET 280419 1% 75% 6 Search EQUILATERAL+SET Search EQUILATERAL+SET
10 BODY OF CONSTANT WIDTH 259648 1% 83% 5 Search BODY+OF+CONSTANT+WIDTH Search BODY+OF+CONSTANT+WIDTH

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 LASSAK, M , MARTINI, H , (2014) REDUCED CONVEX BODIES IN FINITE DIMENSIONAL NORMED SPACES: A SURVEY.RESULTS IN MATHEMATICS. VOL. 66. ISSUE 3-4. P. 405 -426 23 85% 0
2 LASSAK, M , MARTINI, H , (2011) REDUCED CONVEX BODIES IN EUCLIDEAN SPACE-A SURVEY.EXPOSITIONES MATHEMATICAE. VOL. 29. ISSUE 2. P. 204 -219 20 91% 0
3 ALONSO, J , MARTINI, H , WU, SL , (2012) ON BIRKHOFF ORTHOGONALITY AND ISOSCELES ORTHOGONALITY IN NORMED LINEAR SPACES.AEQUATIONES MATHEMATICAE. VOL. 83. ISSUE 1-2. P. 153 -189 25 60% 20
4 MORENO, JP , SCHNEIDER, R , (2015) SOME GEOMETRY OF CONVEX BODIES IN C(K) SPACES.JOURNAL DE MATHEMATIQUES PURES ET APPLIQUEES. VOL. 103. ISSUE 2. P. 352 -373 15 100% 0
5 MARTINI, H , SPIROVA, M , SWANEPOEL, KJ , (2011) GEOMETRY WHERE DIRECTION MATTERS-OR DOES IT?.MATHEMATICAL INTELLIGENCER. VOL. 33. ISSUE 3. P. 115 -125 16 76% 0
6 MARTINI, H , WU, SL , (2014) CLASSICAL CURVE THEORY IN NORMED PLANES.COMPUTER AIDED GEOMETRIC DESIGN. VOL. 31. ISSUE 7-8. P. 373 -397 19 59% 0
7 MORENO, JP , SCHNEIDER, R , (2013) LIPSCHITZ SELECTIONS OF THE DIAMETRIC COMPLETION MAPPING IN MINKOWSKI SPACES.ADVANCES IN MATHEMATICS. VOL. 233. ISSUE 1. P. 248-267 14 78% 3
8 PAPINI, PL , WU, SL , (2015) CONSTRUCTIONS OF COMPLETE SETS.ADVANCES IN GEOMETRY. VOL. 15. ISSUE 4. P. 485 -498 10 100% 0
9 FABINSKA, E , LASSAK, M , (2007) REDUCED BODIES IN NORMED PLANES.ISRAEL JOURNAL OF MATHEMATICS. VOL. 161. ISSUE 1. P. 75-87 10 100% 1
10 MOZGAWA, W , (2015) MELLISH THEOREM FOR GENERALIZED CONSTANT WIDTH CURVES.AEQUATIONES MATHEMATICAE. VOL. 89. ISSUE 4. P. 1095 -1105 8 100% 0

Classes with closest relation at Level 1


Rank Class id link
1 34062 CURVATURE BOUNDED ABOVE//CATK SPACES//LAMBDA CONVEX SET
2 26148 ORTHOGONALITY PRESERVING MAPPINGS//DUNKL WILLIAMS INEQUALITY//APPROXIMATE ORTHOGONALITY
3 20975 FARTHEST POINT//CHEBYSHEV SET//REMOTAL SET
4 22474 EHRHART POLYNOMIAL//DELTA VECTOR//LATTICE POLYTOPES
5 34538 ORTHOCENTRIC SIMPLEX//MASS POINT SYSTEM//RECTANGULAR SIMPLEX
6 28754 MEISSNERS BODY//MINIMAL ISOMETRIC IMMERSIONS//SPHERICAL MINIMAL IMMERSION
7 4326 CONVEX BODY//STAR BODY//INTERSECTION BODY
8 12387 FRAGMENTABILITY//RENORMING//PROJECTIONAL SKELETON
9 31517 GENERALIZED ROUNDNESS//QUASIHYPERMETRIC SPACE//SIGNED MEASURE OF MASS ZERO
10 28574 BODY OF MINIMAL RESISTANCE//NEWTONS PROBLEM//MODIFIED RAYLEIGH CONJECTURE

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