Class information for:
Level 2: QUADRATIC STOCHASTIC OPERATOR//GREATEST TYPE DIVISOR//EVOLUTION ALGEBRA

Basic class information
Class id #P Avg. number of
references		 Database coverage
of references
3826 918 15.2 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
485 3       LINEAR ALGEBRA AND ITS APPLICATIONS//BENFORDS LAW//MATHEMATICS, APPLIED 23484
3826 2             QUADRATIC STOCHASTIC OPERATOR//GREATEST TYPE DIVISOR//EVOLUTION ALGEBRA 918
21535 1                   QUADRATIC STOCHASTIC OPERATOR//EVOLUTION ALGEBRA//BARIC ALGEBRA 415
26311 1                   GREATEST TYPE DIVISOR//GCD MATRIX//GCD CLOSED SET 258
29725 1                   RANDOM DIRICHLET SERIES//GENERALIZED TYPE//ORDER R 181
37197 1                   DIVERGENCE SETS//LACUNARY SEQUENCE OF PARTIAL SUMS//MATH ANAL GEOMETRY 64

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 QUADRATIC STOCHASTIC OPERATOR authKW 765013 3% 100% 23
2 GREATEST TYPE DIVISOR authKW 631967 2% 100% 19
3 EVOLUTION ALGEBRA authKW 604750 2% 91% 20
4 GCD MATRIX authKW 567193 2% 95% 18
5 GCD CLOSED SET authKW 532183 2% 100% 16
6 LCM MATRIX authKW 467737 2% 94% 15
7 BARIC ALGEBRA authKW 465660 2% 100% 14
8 POWER LCM MATRIX authKW 399137 1% 100% 12
9 MEET MATRIX authKW 332614 1% 100% 10
10 SMITH DETERMINANT authKW 332614 1% 100% 10

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 38538 87% 0% 800
2 Mathematics, Applied 3655 26% 0% 236
3 Statistics & Probability 135 3% 0% 32
4 Multidisciplinary Sciences 71 2% 0% 16
5 Mathematical & Computational Biology 47 2% 0% 15
6 Physics, Mathematical 10 2% 0% 15
7 Biology 9 2% 0% 15
8 Operations Research & Management Science 0 1% 0% 6
9 Automation & Control Systems 0 0% 0% 4
10 Computer Science, Theory & Methods -0 1% 0% 6

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 COMPUTAT THEORET SCI 125336 2% 18% 21
2 MATH ANAL GEOMETRY 66523 0% 100% 2
3 MATH INFORMAT PL 50671 1% 19% 8
4 MATH STAT PHILOSOPHY 33775 1% 13% 8
5 A3D 33261 0% 100% 1
6 AGCY CIDAD 33261 0% 100% 1
7 AKOREN ALI RIZA ERCAN VOCAT 33261 0% 100% 1
8 COMPLEXITE LOGIQUEEA 4219 33261 0% 100% 1
9 EA 4219 33261 0% 100% 1
10 INGN MATEMAT ESTADIST 33261 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 LINEAR ALGEBRA AND ITS APPLICATIONS 21846 9% 1% 87
2 COMMUNICATIONS IN ALGEBRA 20360 8% 1% 77
3 LINEAR & MULTILINEAR ALGEBRA 8154 2% 1% 18
4 MATHEMATICAL NOTES 6373 3% 1% 31
5 ACTA MATHEMATICA SCIENTIA 4723 2% 1% 19
6 ACTA MATHEMATICA HUNGARICA 4034 2% 1% 19
7 ARCHIV DER MATHEMATIK 3464 3% 0% 23
8 MONATSHEFTE FUR MATHEMATIK 3283 2% 1% 15
9 JOURNAL OF ALGEBRA 2905 4% 0% 34
10 INDIAN JOURNAL OF PURE & APPLIED MATHEMATICS 2843 2% 1% 16

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 QUADRATIC STOCHASTIC OPERATOR 765013 3% 100% 23 Search QUADRATIC+STOCHASTIC+OPERATOR Search QUADRATIC+STOCHASTIC+OPERATOR
2 GREATEST TYPE DIVISOR 631967 2% 100% 19 Search GREATEST+TYPE+DIVISOR Search GREATEST+TYPE+DIVISOR
3 EVOLUTION ALGEBRA 604750 2% 91% 20 Search EVOLUTION+ALGEBRA Search EVOLUTION+ALGEBRA
4 GCD MATRIX 567193 2% 95% 18 Search GCD+MATRIX Search GCD+MATRIX
5 GCD CLOSED SET 532183 2% 100% 16 Search GCD+CLOSED+SET Search GCD+CLOSED+SET
6 LCM MATRIX 467737 2% 94% 15 Search LCM+MATRIX Search LCM+MATRIX
7 BARIC ALGEBRA 465660 2% 100% 14 Search BARIC+ALGEBRA Search BARIC+ALGEBRA
8 POWER LCM MATRIX 399137 1% 100% 12 Search POWER+LCM+MATRIX Search POWER+LCM+MATRIX
9 MEET MATRIX 332614 1% 100% 10 Search MEET+MATRIX Search MEET+MATRIX
10 SMITH DETERMINANT 332614 1% 100% 10 Search SMITH+DETERMINANT Search SMITH+DETERMINANT

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 2


Rank Class id link
1 3563 BENFORDS LAW//CESTAC METHOD//3X1 PROBLEM
2 2045 DEFORMATION QUANTIZATION//LEIBNIZ ALGEBRA//LIE ALGEBRA
3 3266 MAHLER MEASURE//KAC RICE FORMULA//RANDOM ALGEBRAIC POLYNOMIALS
4 2945 MEROMORPHIC FUNCTION//NEVANLINNA THEORY//NORMAL FAMILY
5 2872 HYPERCYCLIC OPERATORS//HYPERCYCLIC VECTORS//HYPERCYCLIC
6 1414 COMPLETE CONVERGENCE//STATISTICS & PROBABILITY//EXTREMES
7 1098 HAUSDORFF DIMENSION//ERGODIC THEORY AND DYNAMICAL SYSTEMS//MATHEMATICS
8 1206 ACTA ARITHMETICA//JOURNAL OF NUMBER THEORY//MATHEMATICS
9 2431 CHAOS SOLITONS & FRACTALS//HADRONIC JOURNAL//PLICABLE MATH COMP SCI
10 3176 CLIFFORD ANALYSIS//CLIFFORD GRP//ADVANCES IN APPLIED CLIFFORD ALGEBRAS

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