Class information for:
Level 1: LOEB MEASURE//ULTRACOPRODUCT//NONSTANDARD SET THEORY

Basic class information
Class id #P Avg. number of
references		 Database coverage
of references
21240 427 15.3 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
650 3       TOPOLOGY AND ITS APPLICATIONS//FUNDAMENTA MATHEMATICAE//MATHEMATICS 11574
3652 2             LOEB MEASURE//LOCALLY CONVEX CONES//ULTRACOPRODUCT 1189
21240 1                   LOEB MEASURE//ULTRACOPRODUCT//NONSTANDARD SET THEORY 427

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 LOEB MEASURE authKW 1122397 4% 83% 19
2 ULTRACOPRODUCT authKW 643594 2% 100% 9
3 NONSTANDARD SET THEORY authKW 438000 2% 88% 7
4 NONSTANDARD ANALYSIS authKW 427757 6% 23% 26
5 NONSTANDARD HULL authKW 367766 1% 86% 6
6 CO EXISTENTIAL MAPS authKW 357552 1% 100% 5
7 NON METRIC CONTINUA authKW 286042 1% 100% 4
8 CO ELEMENTARY MAP authKW 214531 1% 100% 3
9 NEOCOMPACT authKW 214531 1% 100% 3
10 NONSTANDARD UNIVERSE authKW 214531 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 Logic 44755 22% 1% 96
2 Mathematics 17914 87% 0% 372
3 Mathematics, Applied 1394 23% 0% 100
4 Statistics & Probability 64 4% 0% 15
5 Social Sciences, Mathematical Methods 9 1% 0% 3
6 Philosophy 8 1% 0% 4
7 History & Philosophy of Science 4 0% 0% 2
8 Cultural Studies 3 0% 0% 1
9 Mathematics, Interdisciplinary Applications 2 1% 0% 4
10 Automation & Control Systems 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 AFDELING PORTFOLIO ANAL 71510 0% 100% 1
2 ANGEW MATH ABTLG STOCHAST 71510 0% 100% 1
3 CEZEAUX SCI 71510 0% 100% 1
4 INFORMAT TRANSMISS PROBLEMS IPPI 71510 0% 100% 1
5 MATEMAT WIRT AFTSFOR UNG 71510 0% 100% 1
6 MATH LOG PHILOSOPHY MATH 71510 0% 100% 1
7 MATH VYCHISLITELNAYA MATEMAT 71510 0% 100% 1
8 PEDAGOSKA FAK JAGODINA 71510 0% 100% 1
9 PROC MANAGEMENT COMP TECHNOL 71510 0% 100% 1
10 TOSCA TEAM 71510 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 JOURNAL OF SYMBOLIC LOGIC 71973 13% 2% 54
2 ANNALS OF PURE AND APPLIED LOGIC 13853 5% 1% 20
3 SIBERIAN MATHEMATICAL JOURNAL 13632 6% 1% 24
4 MATHEMATICA SCANDINAVICA 8725 3% 1% 13
5 ARCHIVE FOR MATHEMATICAL LOGIC 6003 2% 1% 9
6 ZEITSCHRIFT FUR MATHEMATISCHE LOGIK UND GRUNDLAGEN DER MATHEMATIK 5189 1% 1% 6
7 MATHEMATICAL LOGIC QUARTERLY 4912 2% 1% 9
8 ACTA APPLICANDAE MATHEMATICAE 4054 3% 1% 11
9 TOPOLOGY AND ITS APPLICATIONS 2620 4% 0% 15
10 ILLINOIS JOURNAL OF MATHEMATICS 2493 2% 0% 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 LOEB MEASURE 1122397 4% 83% 19 Search LOEB+MEASURE Search LOEB+MEASURE
2 ULTRACOPRODUCT 643594 2% 100% 9 Search ULTRACOPRODUCT Search ULTRACOPRODUCT
3 NONSTANDARD SET THEORY 438000 2% 88% 7 Search NONSTANDARD+SET+THEORY Search NONSTANDARD+SET+THEORY
4 NONSTANDARD ANALYSIS 427757 6% 23% 26 Search NONSTANDARD+ANALYSIS Search NONSTANDARD+ANALYSIS
5 NONSTANDARD HULL 367766 1% 86% 6 Search NONSTANDARD+HULL Search NONSTANDARD+HULL
6 CO EXISTENTIAL MAPS 357552 1% 100% 5 Search CO+EXISTENTIAL+MAPS Search CO+EXISTENTIAL+MAPS
7 NON METRIC CONTINUA 286042 1% 100% 4 Search NON+METRIC+CONTINUA Search NON+METRIC+CONTINUA
8 CO ELEMENTARY MAP 214531 1% 100% 3 Search CO+ELEMENTARY+MAP Search CO+ELEMENTARY+MAP
9 NEOCOMPACT 214531 1% 100% 3 Search NEOCOMPACT Search NEOCOMPACT
10 NONSTANDARD UNIVERSE 214531 1% 100% 3 Search NONSTANDARD+UNIVERSE Search NONSTANDARD+UNIVERSE

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 KANOVEI, VG , LYUBETSKII, VA , (2007) PROBLEMS OF SET-THEORETIC NON-STANDARD ANALYSIS.RUSSIAN MATHEMATICAL SURVEYS. VOL. 62. ISSUE 1. P. 45-111 12 86% 2
2 DI NASSO, M , HRBACEK, K , (2003) COMBINATORIAL PRINCIPLES IN NONSTANDARD ANALYSIS.ANNALS OF PURE AND APPLIED LOGIC. VOL. 119. ISSUE 1-3. P. 265 -293 11 85% 0
3 CUTLAND, NJ , (2000) LOEB MEASURES IN PRACTICE: RECENT ADVANCES.LOEB MEASURES IN PRACTICE: RECENT ADVANCES. VOL. 1751. ISSUE . P. 1 -+ 18 56% 0
4 BANKSTON, P , (2000) SOME APPLICATIONS OF THE ULTRAPOWER THEOREM TO THE THEORY OF COMPACTA.APPLIED CATEGORICAL STRUCTURES. VOL. 8. ISSUE 1-2. P. 45 -66 10 100% 4
5 HERZBERG, FS , (2010) HYPERFINITE STOCHASTIC INTEGRATION FOR LEVY PROCESSES WITH FINITE-VARIATION JUMP PART.BULLETIN DES SCIENCES MATHEMATIQUES. VOL. 134. ISSUE 4. P. 423-445 8 89% 0
6 BANKSTON, P , (1999) A HIERARCHY OF MAPS BETWEEN COMPACTA.JOURNAL OF SYMBOLIC LOGIC. VOL. 64. ISSUE 4. P. 1628-1644 9 100% 4
7 JIN, RL , (1999) DISTINGUISHING THREE STRONG SATURATION PROPERTIES IN NONSTANDARD ANALYSIS.ANNALS OF PURE AND APPLIED LOGIC. VOL. 98. ISSUE 1-3. P. 157 -171 9 100% 1
8 DI NASSO, M , (2001) THE GENERIC FILTER PROPERTY IN NONSTANDARD ANALYSIS.ANNALS OF PURE AND APPLIED LOGIC. VOL. 111. ISSUE 1-2. P. 23 -37 8 100% 0
9 JIN, R , KEISLER, HJ , (2000) MAHARAM SPECTRA OF LOEB SPACES.JOURNAL OF SYMBOLIC LOGIC. VOL. 65. ISSUE 2. P. 550 -566 9 90% 3
10 ROSS, DA , (2009) PUSHING DOWN INFINITE LOEB MEASURES.MATHEMATICA SCANDINAVICA. VOL. 104. ISSUE 1. P. 108 -116 7 88% 0

Classes with closest relation at Level 1


Rank Class id link
1 30340 LOCALLY CONVEX CONES//WEAK CONVERGENCE OF VECTOR MEASURES//46A55
2 26022 NONMEASURABLE SET//RECURSIVE SATURATION//BOUNDED SATURATION
3 11302 PRIVATE CORE//JOURNAL OF MATHEMATICAL ECONOMICS//LARGE GAMES
4 34673 PRODUCT LIFTING//STOCHAST ANWENDUNGEN//JORDAN MEASURABLE SET
5 32114 PRIME GROUPS//QFA GROUPS//ALGEBRAIC MATROIDS
6 32058 SYST VNIISI//LOCALLY BOUNDED MAP//PURE PSEUDOREPRESENTATION
7 23177 ORDER CONTINUOUS NORM//SCI ECON JURID SOCIALES//BANACH LATTICE
8 21795 ARCHIVE FOR HISTORY OF EXACT SCIENCES//HISTORIA MATHEMATICA//HYPERREALS
9 34242 FINITELY ADDITIVE INTEGRATION//SEPARABLE PROBABILITY MEASURE//SKOROHOD REPRESENTATION THEOREM
10 24091 MPCS//CNRSUMR7575//FEYNMAN CHECKERBOARD

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