Class information for:
Level 1: ORTHOCENTRIC SIMPLEX//MASS POINT SYSTEM//RECTANGULAR SIMPLEX

Basic class information
Class id #P Avg. number of
references		 Database coverage
of references
34538 110 12.6 21%


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
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 ORTHOCENTRIC SIMPLEX authKW 1427637 5% 86% 6
2 MASS POINT SYSTEM authKW 832789 3% 100% 3
3 RECTANGULAR SIMPLEX authKW 832789 3% 100% 3
4 BRIDGE OF ASSES authKW 555193 2% 100% 2
5 CONTENT OF A POLYHEDRAL ANGLE authKW 555193 2% 100% 2
6 EDGE INRADIUS authKW 555193 2% 100% 2
7 EDGE TANGENT SPHERE authKW 555193 2% 100% 2
8 EQUIFORM TRANSFORMATIONS authKW 555193 2% 100% 2
9 GALILEAN PLANE authKW 555193 2% 100% 2
10 K SUBSIMPLEX authKW 555193 2% 100% 2

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 4152 83% 0% 91
2 Mathematics, Applied 687 32% 0% 35
3 Computer Science, Theory & Methods 64 7% 0% 8
4 Literary Theory & Criticism 32 1% 0% 1
5 Mathematics, Interdisciplinary Applications 11 3% 0% 3
6 Operations Research & Management Science 4 2% 0% 2
7 Computer Science, Software Engineering 4 2% 0% 2
8 Physics, Particles & Fields 3 3% 0% 3
9 Statistics & Probability 3 2% 0% 2
10 Physics, Mathematical 0 1% 0% 1

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 MATH SINCE 277596 1% 100% 1
2 MATH TEACHERS EDUC 277596 1% 100% 1
3 PRODUCT SYST DESIGN ENGN 46264 1% 17% 1
4 RICHARD W RILEY EDUC LEADERSHIP 13217 1% 5% 1
5 COMPLEX ANAL 12067 1% 4% 1
6 TEACHERS EDUC 11565 1% 4% 1
7 GEOMETRY 3301 2% 1% 2
8 MATH 1990 50% 0% 55
9 LJK 1407 1% 1% 1
10 UMR 5219 683 1% 0% 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 AMERICAN MATHEMATICAL MONTHLY 45350 19% 1% 21
2 GEOMETRIAE DEDICATA 15696 12% 0% 13
3 RESULTS IN MATHEMATICS 9876 5% 1% 5
4 DISCRETE & COMPUTATIONAL GEOMETRY 6595 6% 0% 7
5 MATHEMATICAL INEQUALITIES & APPLICATIONS 3156 4% 0% 4
6 FRACTALS-COMPLEX GEOMETRY PATTERNS AND SCALING IN NATURE AND SOCIETY 2170 3% 0% 3
7 APPLIED MATHEMATICS LETTERS 1888 5% 0% 6
8 MATHEMATIKA 1278 2% 0% 2
9 MIDWEST QUARTERLY-A JOURNAL OF CONTEMPORARY THOUGHT 1050 1% 0% 1
10 LINEAR ALGEBRA AND ITS APPLICATIONS 862 5% 0% 6

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 ORTHOCENTRIC SIMPLEX 1427637 5% 86% 6 Search ORTHOCENTRIC+SIMPLEX Search ORTHOCENTRIC+SIMPLEX
2 MASS POINT SYSTEM 832789 3% 100% 3 Search MASS+POINT+SYSTEM Search MASS+POINT+SYSTEM
3 RECTANGULAR SIMPLEX 832789 3% 100% 3 Search RECTANGULAR+SIMPLEX Search RECTANGULAR+SIMPLEX
4 BRIDGE OF ASSES 555193 2% 100% 2 Search BRIDGE+OF+ASSES Search BRIDGE+OF+ASSES
5 CONTENT OF A POLYHEDRAL ANGLE 555193 2% 100% 2 Search CONTENT+OF+A+POLYHEDRAL+ANGLE Search CONTENT+OF+A+POLYHEDRAL+ANGLE
6 EDGE INRADIUS 555193 2% 100% 2 Search EDGE+INRADIUS Search EDGE+INRADIUS
7 EDGE TANGENT SPHERE 555193 2% 100% 2 Search EDGE+TANGENT+SPHERE Search EDGE+TANGENT+SPHERE
8 EQUIFORM TRANSFORMATIONS 555193 2% 100% 2 Search EQUIFORM+TRANSFORMATIONS Search EQUIFORM+TRANSFORMATIONS
9 GALILEAN PLANE 555193 2% 100% 2 Search GALILEAN+PLANE Search GALILEAN+PLANE
10 K SUBSIMPLEX 555193 2% 100% 2 Search K+SUBSIMPLEX Search K+SUBSIMPLEX

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 WU, DH , LENG, GS , ZHOU, YG , (2004) INEQUALITIES FOR VERTEX DISTANCES OF TWO SIMPLICES.JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS. VOL. 300. ISSUE 2. P. 265-272 7 100% 0
2 HAJJA, M , MARTINI, H , (2013) ORTHOCENTRIC SIMPLICES AS THE TRUE GENERALIZATIONS OF TRIANGLES.MATHEMATICAL INTELLIGENCER. VOL. 35. ISSUE 2. P. 16-28 6 86% 2
3 WU, DH , TIAN, WW , (2004) INEQUALITIES FOR MEDIANS OF TWO SIMPLICES.APPLIED MATHEMATICS LETTERS. VOL. 17. ISSUE 1. P. 107-110 6 100% 0
4 LENG, GS , SHEN, Z , TANG, LH , (2000) INEQUALITIES FOR TWO SIMPLICES.JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS. VOL. 248. ISSUE 2. P. 429-437 6 100% 1
5 SUN, MB , YANG, XP , (2006) INEQUALITIES FOR VECTOR SYSTEMS.ACTA MATHEMATICA HUNGARICA. VOL. 111. ISSUE 1-2. P. 9-28 5 100% 0
6 HE, BW , LI, XY , LENG, GS , (2004) AN INEQUALITY FOR TWO SIMPLICES AND TWO POINTS.INDIAN JOURNAL OF PURE & APPLIED MATHEMATICS. VOL. 35. ISSUE 4. P. 545-553 5 100% 0
7 ABU-SARIS, R , HAJJA, M , (2009) THE CHAOTIC BEHAVIOR OF THE SEQUENCE OF PEDAL SIMPLICES.RESULTS IN MATHEMATICS. VOL. 55. ISSUE 3-4. P. 209 -220 5 83% 0
8 LI, XY , LENG, GS , TANG, LH , (2005) INEQUALITIES FOR A SIMPLEX AND ANY POINT.MATHEMATICAL INEQUALITIES & APPLICATIONS. VOL. 8. ISSUE 3. P. 547-557 4 100% 2
9 GRUNBAUM, B , (2012) IS NAPOLEON'S THEOREM REALLY NAPOLEON'S THEOREM?.AMERICAN MATHEMATICAL MONTHLY. VOL. 119. ISSUE 6. P. 495-501 3 100% 5
10 HAJJA, M , HAYAJNEH, M , (2012) THE OPEN MOUTH THEOREM IN HIGHER DIMENSIONS.LINEAR ALGEBRA AND ITS APPLICATIONS. VOL. 437. ISSUE 3. P. 1057-1069 3 100% 0

Classes with closest relation at Level 1


Rank Class id link
1 19754 REDUCED BODY//CONSTANT WIDTH//BIRKHOFF ORTHOGONALITY
2 20314 CIRCLE PATTERN//FLEXIBLE POLYHEDRON//ACUTE TRIANGULATIONS
3 23249 APOLLONIAN PACKING//AXIAL FUNCTIONS//BABAIS CONJECTURE
4 19758 DISCRETE TOMOGRAPHY//BINARY TOMOGRAPHY//CONVEX POLYOMINOES
5 18902 MARTINGALE APPROXIMATION//CHAINS WITH COMPLETE CONNECTIONS//STRICTLY STATIONARY PROCESS
6 31517 GENERALIZED ROUNDNESS//QUASIHYPERMETRIC SPACE//SIGNED MEASURE OF MASS ZERO
7 25454 SKEW LOOP//TANTRIX//FOUR VERTEX THEOREM
8 19739 GYROGROUP//THOMAS ROTATION//WIGNERS LITTLE GROUPS
9 19087 INVERSE EIGENVALUE PROBLEM//NONNEGATIVE INVERSE EIGENVALUE PROBLEM//NONNEGATIVE MATRICES
10 14899 TRANSLATION SURFACE//INTERVAL EXCHANGE TRANSFORMATION//VEECH GROUPS

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