Class information for: |
Basic class information |
Class id | #P | Avg. number of references |
Database coverage of references |
---|---|---|---|
3826 | 918 | 15.2 | 27% |
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 |