Class information for:
Level 1: FARTHEST POINT//CHEBYSHEV SET//REMOTAL SET

Basic class information
Class id #P Avg. number of
references		 Database coverage
of references
20975 438 15.8 27%


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
20975 1                   FARTHEST POINT//CHEBYSHEV SET//REMOTAL SET 438

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 FARTHEST POINT authKW 681979 3% 65% 15
2 CHEBYSHEV SET authKW 660984 4% 59% 16
3 REMOTAL SET authKW 557716 2% 100% 8
4 ALEXANDROV SURFACE authKW 278858 1% 100% 4
5 STRONGLY CONVEX SET OF RADIUS R authKW 278858 1% 100% 4
6 WHITNEY EXTENSION PROBLEM authKW 278858 1% 100% 4
7 WHITNEYS EXTENSION PROBLEM authKW 278858 1% 100% 4
8 AMBIGUOUS LOCI authKW 209143 1% 100% 3
9 APPROXIMATIVELY COMPACT SET authKW 209143 1% 100% 3
10 EXTENSION OF SMOOTH FUNCTIONS authKW 209143 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 21064 93% 0% 408
2 Mathematics, Applied 1133 21% 0% 92
3 Multidisciplinary Sciences 95 3% 0% 12
4 Computer Science, Theory & Methods 2 1% 0% 6
5 Statistics & Probability 1 1% 0% 4
6 History & Philosophy of Science 0 0% 0% 1
7 Social Sciences, Mathematical Methods 0 0% 0% 1
8 Operations Research & Management Science -0 0% 0% 2
9 Mathematics, Interdisciplinary Applications -0 0% 0% 2
10 Physics, Mathematical -0 1% 0% 3

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 EPI MERE INRIA INRA 69714 0% 100% 1
2 MATH INFORMAT AMIENS 69714 0% 100% 1
3 HIGHER MATH 42974 3% 5% 13
4 FUZOKU HIGH 34856 0% 50% 1
5 MATH SIMION STOILOW 20339 3% 2% 12
6 AMIENOIS MATH FONDAMENTALES PL 9292 0% 7% 2
7 HBEREICH MATHEMAT 8713 0% 13% 1
8 EA 3993 7744 0% 11% 1
9 BAHEN 5929 0% 4% 2
10 SCI AMIENS 5361 0% 8% 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 REVISTA MATEMATICA IBEROAMERICANA 29803 4% 2% 18
2 MATHEMATICAL NOTES 25861 10% 1% 43
3 JOURNAL OF CONVEX ANALYSIS 13803 3% 2% 13
4 IZVESTIYA MATHEMATICS 13138 3% 1% 13
5 JOURNAL OF APPROXIMATION THEORY 12735 6% 1% 25
6 ADVANCES IN GEOMETRY 11837 2% 2% 10
7 INDIAN JOURNAL OF PURE & APPLIED MATHEMATICS 3952 3% 0% 13
8 SIBERIAN MATHEMATICAL JOURNAL 2295 2% 0% 10
9 MATHEMATISCHE ANNALEN 2122 3% 0% 12
10 PUBLICATIONS DE L INSTITUT MATHEMATIQUE-BEOGRAD 2109 0% 2% 2

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 FARTHEST POINT 681979 3% 65% 15 Search FARTHEST+POINT Search FARTHEST+POINT
2 CHEBYSHEV SET 660984 4% 59% 16 Search CHEBYSHEV+SET Search CHEBYSHEV+SET
3 REMOTAL SET 557716 2% 100% 8 Search REMOTAL+SET Search REMOTAL+SET
4 ALEXANDROV SURFACE 278858 1% 100% 4 Search ALEXANDROV+SURFACE Search ALEXANDROV+SURFACE
5 STRONGLY CONVEX SET OF RADIUS R 278858 1% 100% 4 Search STRONGLY+CONVEX+SET+OF+RADIUS+R Search STRONGLY+CONVEX+SET+OF+RADIUS+R
6 WHITNEY EXTENSION PROBLEM 278858 1% 100% 4 Search WHITNEY+EXTENSION+PROBLEM Search WHITNEY+EXTENSION+PROBLEM
7 WHITNEYS EXTENSION PROBLEM 278858 1% 100% 4 Search WHITNEYS+EXTENSION+PROBLEM Search WHITNEYS+EXTENSION+PROBLEM
8 AMBIGUOUS LOCI 209143 1% 100% 3 Search AMBIGUOUS+LOCI Search AMBIGUOUS+LOCI
9 APPROXIMATIVELY COMPACT SET 209143 1% 100% 3 Search APPROXIMATIVELY+COMPACT+SET Search APPROXIMATIVELY+COMPACT+SET
10 EXTENSION OF SMOOTH FUNCTIONS 209143 1% 100% 3 Search EXTENSION+OF+SMOOTH+FUNCTIONS Search EXTENSION+OF+SMOOTH+FUNCTIONS

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 ALIMOV, AR , TSAR'KOV, IG , (2016) CONNECTEDNESS AND SOLARITY IN PROBLEMS OF BEST AND NEAR-BEST APPROXIMATION.RUSSIAN MATHEMATICAL SURVEYS. VOL. 71. ISSUE 1. P. 1 -77 49 58% 0
2 FEFFERMAN, C , ISRAEL, A , LULI, GK , (2016) FINITENESS PRINCIPLES FOR SMOOTH SELECTION.GEOMETRIC AND FUNCTIONAL ANALYSIS. VOL. 26. ISSUE 2. P. 422 -477 20 100% 0
3 SHVARTSMAN, P , (2014) SOBOLEV L-P(2)-FUNCTIONS ON CLOSED SUBSETS OF R-2.ADVANCES IN MATHEMATICS. VOL. 252. ISSUE . P. 22-113 21 88% 2
4 FEFFERMAN, C , ISRAEL, A , LULI, G , (2016) FITTING A SOBOLEV FUNCTION TO DATA I.REVISTA MATEMATICA IBEROAMERICANA. VOL. 32. ISSUE 1. P. 275 -376 21 78% 0
5 FEFFERMAN, C , (2010) THE C-M NORM OF A FUNCTION WITH PRESCRIBED JETS I.REVISTA MATEMATICA IBEROAMERICANA. VOL. 26. ISSUE 3. P. 1075-1098 16 100% 1
6 SHVARTSMAN, P , (2008) THE WHITNEY EXTENSION PROBLEM AND LIPSCHITZ SELECTIONS OF SET-VALUED MAPPINGS IN JET-SPACES.TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY. VOL. 360. ISSUE 10. P. 5529-5550 15 100% 6
7 MYJAK, J , PAPINI, PL , (2015) SIMULTANEOUS FARTHEST POINTS OF SETS IN BANACH SPACES: A SURVEY.JOURNAL OF NONLINEAR AND CONVEX ANALYSIS. VOL. 16. ISSUE 6. P. 1083 -1095 15 83% 0
8 FEFFERMAN, C , KLARTAG, B , (2009) AN EXAMPLE RELATED TO WHITNEY EXTENSION WITH ALMOST MINIMAL C-M NORM.REVISTA MATEMATICA IBEROAMERICANA. VOL. 25. ISSUE 2. P. 423-446 15 94% 1
9 FEFFERMAN, C , LULI, GK , (2014) THE BRENNER-HOCHSTER-KOLLAR AND WHITNEY PROBLEMS FOR VECTOR-VALUED FUNCTIONS AND JETS.REVISTA MATEMATICA IBEROAMERICANA. VOL. 30. ISSUE 3. P. 875 -892 12 100% 0
10 TSAR'KOV, IG , (2016) LOCAL AND GLOBAL CONTINUOUS EPSILON-SELECTION.IZVESTIYA MATHEMATICS. VOL. 80. ISSUE 2. P. 442 -461 11 100% 0

Classes with closest relation at Level 1


Rank Class id link
1 19754 REDUCED BODY//CONSTANT WIDTH//BIRKHOFF ORTHOGONALITY
2 37650 SIMPLE PARTIAL FRACTION//CHAIR FUNCT ANAL ITS PLICAT//RESTRICTION ON THE POLES
3 15815 JOURNAL OF APPROXIMATION THEORY//POLYA ALGORITHM//CHEBYSHEV SUBSPACE
4 27905 QUASIDIFFERENTIAL CALCULUS//EXHAUSTERS//QUASIDIFFERENTIAL
5 20798 TURNPIKE PROPERTY//GOOD FUNCTION//INFINITE HORIZON PROBLEMS
6 33411 MONOSTATIC SIMPLEX//PEBBLE SHAPE//NOMINAL DIAMETER
7 28474 HAAR NULL//MONOTONE METRIC SPACE//TYPICAL CONTINUOUS FUNCTION
8 12387 FRAGMENTABILITY//RENORMING//PROJECTIONAL SKELETON
9 25419 DISCRETE GEODESICS//FERMAT WEBER CENTER//GRID UNFOLDING
10 9891 NONNEGATIVE CURVATURE//POSITIVE CURVATURE//POSITIVE SECTIONAL CURVATURE

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