Class information for:
Level 1: DIVERGENT PERMUTATIONS//UNIVERSAL FUZZY MEASURE//ASYMPTOTIC FUZZY MEASURE

Basic class information

Class id #P Avg. number of
references
Database coverage
of references
32449 139 13.5 22%



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
485 3       LINEAR ALGEBRA AND ITS APPLICATIONS//BENFORDS LAW//MATHEMATICS, APPLIED 23484
3563 2             BENFORDS LAW//CESTAC METHOD//3X1 PROBLEM 1323
32449 1                   DIVERGENT PERMUTATIONS//UNIVERSAL FUZZY MEASURE//ASYMPTOTIC FUZZY MEASURE 139

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 DIVERGENT PERMUTATIONS authKW 878721 3% 100% 4
2 UNIVERSAL FUZZY MEASURE authKW 878721 3% 100% 4
3 ASYMPTOTIC FUZZY MEASURE authKW 659041 2% 100% 3
4 CONVERGENT PERMUTATIONS authKW 659041 2% 100% 3
5 ASYMPTOTIC DENSITY authKW 581833 10% 19% 14
6 RIEMANNS THEOREM authKW 494279 2% 75% 3
7 RATIO BLOCK SEQUENCE authKW 439360 1% 100% 2
8 SUMMABLE IDEALS authKW 439360 1% 100% 2
9 LEVY GROUP authKW 329517 2% 50% 3
10 ASYMPTOTIC DISTRIBUTION FUNCTION authKW 292906 1% 67% 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 5724 86% 0% 120
2 Mathematics, Applied 157 14% 0% 20
3 Statistics & Probability 48 5% 0% 7
4 Social Sciences, Mathematical Methods 15 1% 0% 2
5 Computer Science, Cybernetics 6 1% 0% 1
6 Computer Science, Information Systems 1 1% 0% 2
7 Computer Science, Artificial Intelligence 1 1% 0% 2
8 Economics 0 1% 0% 2
9 Mathematics, Interdisciplinary Applications 0 1% 0% 1
10 Computer Science, Theory & Methods -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 UO IRAFM 219680 1% 100% 1
2 PROBABILIST STAT METHODS 109839 1% 50% 1
3 NIKO MUSKHELISHVILI COMPUTAT MATH 73225 1% 33% 1
4 MUSKHELISHVILI COMPUTAT MATH 73223 1% 17% 2
5 N MUSKHELISHVILI COMPUTAT MATH 54919 1% 25% 1
6 ALGEBRA GEOMETRY MATH EDUC 19969 1% 9% 1
7 POMONA 19969 1% 9% 1
8 ANAL COMPUTAT NUMBER THEORY MATH A 18305 1% 8% 1
9 WALLIS POLIT ECON 18305 1% 8% 1
10 PLICAT FUZZY MODELLING 17929 1% 4% 2

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 26355 13% 1% 18
2 MATHEMATICA SLOVACA 10353 4% 1% 6
3 COLLEGE MATHEMATICS JOURNAL 9984 1% 5% 1
4 PERIODICA MATHEMATICA HUNGARICA 2700 1% 1% 2
5 CZECHOSLOVAK MATHEMATICAL JOURNAL 2442 4% 0% 5
6 JOURNAL OF NUMBER THEORY 2283 5% 0% 7
7 ARCHIV DER MATHEMATIK 2133 5% 0% 7
8 ACTA ARITHMETICA 1701 4% 0% 5
9 INDAGATIONES MATHEMATICAE-NEW SERIES 1643 2% 0% 3
10 STUDIA SCIENTIARUM MATHEMATICARUM HUNGARICA 1465 1% 0% 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 DIVERGENT PERMUTATIONS 878721 3% 100% 4 Search DIVERGENT+PERMUTATIONS Search DIVERGENT+PERMUTATIONS
2 UNIVERSAL FUZZY MEASURE 878721 3% 100% 4 Search UNIVERSAL+FUZZY+MEASURE Search UNIVERSAL+FUZZY+MEASURE
3 ASYMPTOTIC FUZZY MEASURE 659041 2% 100% 3 Search ASYMPTOTIC+FUZZY+MEASURE Search ASYMPTOTIC+FUZZY+MEASURE
4 CONVERGENT PERMUTATIONS 659041 2% 100% 3 Search CONVERGENT+PERMUTATIONS Search CONVERGENT+PERMUTATIONS
5 ASYMPTOTIC DENSITY 581833 10% 19% 14 Search ASYMPTOTIC+DENSITY Search ASYMPTOTIC+DENSITY
6 RIEMANNS THEOREM 494279 2% 75% 3 Search RIEMANNS+THEOREM Search RIEMANNS+THEOREM
7 RATIO BLOCK SEQUENCE 439360 1% 100% 2 Search RATIO+BLOCK+SEQUENCE Search RATIO+BLOCK+SEQUENCE
8 SUMMABLE IDEALS 439360 1% 100% 2 Search SUMMABLE+IDEALS Search SUMMABLE+IDEALS
9 LEVY GROUP 329517 2% 50% 3 Search LEVY+GROUP Search LEVY+GROUP
10 ASYMPTOTIC DISTRIBUTION FUNCTION 292906 1% 67% 2 Search ASYMPTOTIC+DISTRIBUTION+FUNCTION Search ASYMPTOTIC+DISTRIBUTION+FUNCTION

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 BROWN, B , DAIRYKO, M , GARCIA, SR , LUTZ, B , SOMECK, M , (2014) FOUR QUOTIENT SET GEMS.AMERICAN MATHEMATICAL MONTHLY. VOL. 121. ISSUE 7. P. 590 -599 7 100% 0
2 BUKOR, J , MISIK, L , TOTH, JT , (2013) ON MAPPINGS PRESERVING MEASURABILITY.INFORMATION SCIENCES. VOL. 235. ISSUE . P. 323-328 7 100% 0
3 WITULA, R , (2013) PERMUTATIONS PRESERVING SUMS OF REARRANGED REAL SERIES.CENTRAL EUROPEAN JOURNAL OF MATHEMATICS. VOL. 11. ISSUE 5. P. 956 -965 6 100% 1
4 CHARATONIK, WJ , SAMULEWICZ, A , WITULA, R , (2017) LIMIT SETS IN NORMED LINEAR SPACES.COLLOQUIUM MATHEMATICUM. VOL. 147. ISSUE 1. P. 35 -42 5 100% 0
5 GARCIA, SR , LUCA, F , (2016) QUOTIENTS OF FIBONACCI NUMBERS.AMERICAN MATHEMATICAL MONTHLY. VOL. 123. ISSUE 10. P. 1039 -1044 8 62% 0
6 LETAVAJ, P , MISIK, L , SLEZIAK, M , (2015) EXTREME POINTS OF THE SET OF DENSITY MEASURES.JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS. VOL. 423. ISSUE 2. P. 1150 -1165 6 75% 0
7 GARCIA, SR , (2013) QUOTIENTS OF GAUSSIAN PRIMES.AMERICAN MATHEMATICAL MONTHLY. VOL. 120. ISSUE 9. P. 851-853 5 83% 0
8 SLEZIAK, M , ZIMAN, M , (2008) LEVY GROUP AND DENSITY MEASURES.JOURNAL OF NUMBER THEORY. VOL. 128. ISSUE 12. P. 3005 -3012 6 75% 2
9 GERENCSER, B , (2011) ON CONVERGENCE SETS OF CONDITIONALLY CONVERGENT SERIES.STUDIA SCIENTIARUM MATHEMATICARUM HUNGARICA. VOL. 48. ISSUE 3. P. 281 -303 4 100% 1
10 WITULA, R , (2010) ON THE SET OF LIMIT POINTS OF THE PARTIAL SUMS OF SERIES REARRANGED BY A GIVEN DIVERGENT PERMUTATION.JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS. VOL. 362. ISSUE 2. P. 542 -552 4 100% 1

Classes with closest relation at Level 1



Rank Class id link
1 30095 3X1 PROBLEM//COLLATZ PROBLEM//3X1 CONJECTURE
2 22671 BENFORDS LAW//FIRST DIGIT LAW//MANTISSA
3 36324 NATURAL SPECTRUM//F M RIESZ THEOREM//SPECTRUM OF MEASURE
4 19294 WICK PRODUCT//WHITE NOISE ANALYSIS//LEVY LAPLACIAN
5 10276 FUZZY MEASURE//SUGENO INTEGRAL//CHOQUET INTEGRAL
6 17473 BUNDLE CONVERGENCE//GELFAND NAIMARK SEGAL REPRESENTATION THEOREM//BANACH PRINCIPLE
7 31723 MATH SEMINAR 2//BALANCING VECTORS//BALANCING GAMES
8 25949 ISOMETRIC EXTENSION//MAZUR ULAM THEOREM//EPSILON ISOMETRY
9 7562 STATISTICAL CONVERGENCE//DOUBLE SEQUENCES//MATRIX TRANSFORMATIONS
10 23532 ABSOLUTE SUMMABILITY//SUMMABILITY FACTORS//ALMOST INCREASING SEQUENCES

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