Class information for:
Level 1: GREATEST TYPE DIVISOR//GCD MATRIX//GCD CLOSED SET

Basic class information
Class id #P Avg. number of
references		 Database coverage
of references
26311 258 17.7 38%


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
3826 2             QUADRATIC STOCHASTIC OPERATOR//GREATEST TYPE DIVISOR//EVOLUTION ALGEBRA 918
26311 1                   GREATEST TYPE DIVISOR//GCD MATRIX//GCD CLOSED SET 258

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 GREATEST TYPE DIVISOR authKW 2248724 7% 100% 19
2 GCD MATRIX authKW 2018244 7% 95% 18
3 GCD CLOSED SET authKW 1893663 6% 100% 16
4 LCM MATRIX authKW 1664350 6% 94% 15
5 POWER LCM MATRIX authKW 1420247 5% 100% 12
6 MEET MATRIX authKW 1183539 4% 100% 10
7 SMITH DETERMINANT authKW 1183539 4% 100% 10
8 LEAST COMMON MULTIPLE authKW 1179444 7% 59% 17
9 JOIN MATRIX authKW 1065185 3% 100% 9
10 POWER GCD MATRIX authKW 1065185 3% 100% 9

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 11546 90% 0% 232
2 Mathematics, Applied 890 24% 0% 62
3 Statistics & Probability 123 6% 0% 15
4 Physics, Mathematical 0 1% 0% 2
5 Operations Research & Management Science -0 0% 0% 1
6 Computer Science, Information Systems -0 0% 0% 1
7 Mechanics -1 0% 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 STAT PHILOSOPHY 120219 3% 13% 8
2 AKOREN ALI RIZA ERCAN VOCAT 118354 0% 100% 1
3 COMPLEXITE LOGIQUEEA 4219 118354 0% 100% 1
4 EA 4219 118354 0% 100% 1
5 URA 0743 CNRS 118354 0% 100% 1
6 MATH A 114093 7% 5% 18
7 MATH SOFT WARE SCI 59176 0% 50% 1
8 YANGTZE MATH 38435 3% 4% 8
9 FINANCIAL MATH PL NUMBER THEORY 31558 1% 13% 2
10 THEORET SCI S 19724 0% 17% 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 LINEAR & MULTILINEAR ALGEBRA 22992 6% 1% 16
2 ACTA MATHEMATICA HUNGARICA 9000 6% 1% 15
3 MONATSHEFTE FUR MATHEMATIK 8828 5% 1% 13
4 MATHEMATICS MAGAZINE 7511 1% 3% 2
5 LINEAR ALGEBRA AND ITS APPLICATIONS 6420 10% 0% 25
6 FIBONACCI QUARTERLY 5064 3% 1% 7
7 ACTA ARITHMETICA 4439 4% 0% 11
8 PROBABILITY THEORY AND RELATED FIELDS 4111 3% 0% 9
9 JOURNAL OF NUMBER THEORY 3612 5% 0% 12
10 COMPTES RENDUS MATHEMATIQUE 1826 3% 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 GREATEST TYPE DIVISOR 2248724 7% 100% 19 Search GREATEST+TYPE+DIVISOR Search GREATEST+TYPE+DIVISOR
2 GCD MATRIX 2018244 7% 95% 18 Search GCD+MATRIX Search GCD+MATRIX
3 GCD CLOSED SET 1893663 6% 100% 16 Search GCD+CLOSED+SET Search GCD+CLOSED+SET
4 LCM MATRIX 1664350 6% 94% 15 Search LCM+MATRIX Search LCM+MATRIX
5 POWER LCM MATRIX 1420247 5% 100% 12 Search POWER+LCM+MATRIX Search POWER+LCM+MATRIX
6 MEET MATRIX 1183539 4% 100% 10 Search MEET+MATRIX Search MEET+MATRIX
7 SMITH DETERMINANT 1183539 4% 100% 10 Search SMITH+DETERMINANT Search SMITH+DETERMINANT
8 LEAST COMMON MULTIPLE 1179444 7% 59% 17 Search LEAST+COMMON+MULTIPLE Search LEAST+COMMON+MULTIPLE
9 JOIN MATRIX 1065185 3% 100% 9 Search JOIN+MATRIX Search JOIN+MATRIX
10 POWER GCD MATRIX 1065185 3% 100% 9 Search POWER+GCD+MATRIX Search POWER+GCD+MATRIX

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 TAN, QR , LIN, ZB , CHEN, L , (2016) DIVISIBILITY AMONG POWER MATRICES ASSOCIATED WITH ARITHMETIC FUNCTIONS ON FINITELY MANY QUASI-COPRIME DIVISOR CHAINS.LINEAR & MULTILINEAR ALGEBRA. VOL. 64. ISSUE 10. P. 2030 -2048 37 100% 0
2 ALTINISIK, E , YILDIZ, M , KESKIN, A , (2017) NON-DIVISIBILITY OF LCM MATRICES BY GCD MATRICES ON GCD-CLOSED SETS.LINEAR ALGEBRA AND ITS APPLICATIONS. VOL. 516. ISSUE . P. 47 -68 29 100% 0
3 XU, JH , LI, M , (2011) DIVISIBILITY AMONG POWER GCD MATRICES AND AMONG POWER LCM MATRICES ON THREE COPRIME DIVISOR CHAINS.LINEAR & MULTILINEAR ALGEBRA. VOL. 59. ISSUE 7. P. 773-788 30 100% 7
4 TAN, QR , LIN, ZB , LIU, L , (2011) DIVISIBILITY AMONG POWER GCD MATRICES AND AMONG POWER LCM MATRICES ON TWO COPRIME DIVISOR CHAINS II.LINEAR & MULTILINEAR ALGEBRA. VOL. 59. ISSUE 9. P. 969-983 30 100% 5
5 TAN, QR , LUO, M , LIN, ZB , (2013) DETERMINANTS AND DIVISIBILITY OF POWER GCD AND POWER LCM MATRICES ON FINITELY MANY COPRIME DIVISOR CHAINS.APPLIED MATHEMATICS AND COMPUTATION. VOL. 219. ISSUE 15. P. 8112-8120 28 100% 5
6 MATTILA, M , HAUKKANEN, P , (2014) ON THE POSITIVE DEFINITENESS AND EIGENVALUES OF MEET AND JOIN MATRICES.DISCRETE MATHEMATICS. VOL. 326. ISSUE . P. 9-19 27 93% 5
7 TAN, QR , LI, M , (2013) DIVISIBILITY AMONG POWER GCD MATRICES AND AMONG POWER LCM MATRICES ON FINITELY MANY COPRIME DIVISOR CHAINS.LINEAR ALGEBRA AND ITS APPLICATIONS. VOL. 438. ISSUE 3. P. 1454-1466 26 100% 5
8 LIN, ZB , TAN, QR , (2012) DETERMINANTS OF SMITH MATRICES ON THREE COPRIME DIVISOR CHAINS AND DIVISIBILITY.LINEAR & MULTILINEAR ALGEBRA. VOL. 60. ISSUE 4. P. 475-486 27 100% 3
9 TAN, QR , (2010) DIVISIBILITY AMONG POWER GCD MATRICES AND AMONG POWER LCM MATRICES ON TWO COPRIME DIVISOR CHAINS.LINEAR & MULTILINEAR ALGEBRA. VOL. 58. ISSUE 5. P. 659-671 28 100% 7
10 WAN, JX , HU, SN , TAN, QR , (2014) NEW RESULTS ON NONSINGULAR POWER LCM MATRICES.ELECTRONIC JOURNAL OF LINEAR ALGEBRA. VOL. 27. ISSUE . P. 652 -669 25 100% 0

Classes with closest relation at Level 1


Rank Class id link
1 29725 RANDOM DIRICHLET SERIES//GENERALIZED TYPE//ORDER R
2 37400 BEURLING GENERALIZED PRIMES//BEURLING GENERALIZED NUMBERS//CHEBYSHEV PRIME BOUNDS
3 22671 BENFORDS LAW//FIRST DIGIT LAW//MANTISSA
4 17473 BUNDLE CONVERGENCE//GELFAND NAIMARK SEGAL REPRESENTATION THEOREM//BANACH PRINCIPLE
5 25860 ESTERMANN ZETA FUNCTION//RIEMANN HYPOTHESIS//COTANGENT SUMS
6 34713 RAMANUJAN SUBSPACES//XRAY PHYS IMAGING//MOJETTE TRANSFORM
7 29164 MERIT FACTOR//LITTLEWOOD POLYNOMIALS//FEKETE POLYNOMIALS
8 32867 INTEGRATION IN FINITE TERMS//THEORY OF EQUATIONS//ANTIDERIVATIVE EXTENSIONS
9 15701 U STATISTICS//BOUNDS FOR TAIL PROBABILITIES//HOEFFDINGS INEQUALITIES
10 16946 MAHLER MEASURE//SALEM NUMBERS//EXPLICIT AUXILIARY FUNCTION

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