Class information for:
Level 1: PASCAL MATRIX//STIRLING MATRIX//FIBONACCI MATRIX

Basic class information
Class id #P Avg. number of
references		 Database coverage
of references
23174 356 12.1 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
404 3       MATHEMATICS//ORTHOGONAL POLYNOMIALS//MATHEMATICS, APPLIED 29787
1244 2             FIBONACCI QUARTERLY//MULTIPLE ZETA VALUES//BERNOULLI NUMBERS 8992
23174 1                   PASCAL MATRIX//STIRLING MATRIX//FIBONACCI MATRIX 356

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 PASCAL MATRIX authKW 1513613 8% 59% 30
2 STIRLING MATRIX authKW 466982 2% 78% 7
3 FIBONACCI MATRIX authKW 385975 2% 75% 6
4 PASCAL MATRICES authKW 385975 2% 75% 6
5 CATALAN MATRIX authKW 343091 1% 100% 4
6 FACTORIZATION OF MATRIX authKW 343091 1% 100% 4
7 CONFLUENT VANDERMONDE MATRICES authKW 257318 1% 100% 3
8 GENERALIZED VANDERMONDE MATRICES authKW 257318 1% 100% 3
9 LUCAS MATRIX authKW 257318 1% 100% 3
10 PASCAL K ELIMINATED FUNCTIONAL MATRIX authKW 257318 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 Mathematics 6519 58% 0% 207
2 Mathematics, Applied 5882 51% 0% 181
3 Automation & Control Systems 38 3% 0% 9
4 Physics, Mathematical 33 3% 0% 12
5 Statistics & Probability 12 2% 0% 7
6 Mathematics, Interdisciplinary Applications 6 1% 0% 5
7 Engineering, General 5 1% 0% 5
8 Computer Science, Theory & Methods 2 1% 0% 5
9 History & Philosophy of Science 1 0% 0% 1
10 Computer Science, Artificial Intelligence 0 1% 0% 3

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 ENSAT TANGER 171546 1% 100% 2
2 EQUIP DEFA 171546 1% 100% 2
3 MAYFAIR 171546 1% 100% 2
4 EDUC ECON TECNOL CEUTA 85773 0% 100% 1
5 EQUIPE DEFA 85773 0% 100% 1
6 LEGT F 85773 0% 100% 1
7 MATEMAT BOLUMIL 85773 0% 100% 1
8 IRU 42885 0% 50% 1
9 LEGT F ARAGO 42885 0% 50% 1
10 MATH SECT LEGT F ARAGO 42885 0% 50% 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 FIBONACCI QUARTERLY 180239 14% 4% 49
2 LINEAR ALGEBRA AND ITS APPLICATIONS 16477 13% 0% 47
3 AMERICAN MATHEMATICAL MONTHLY 15349 6% 1% 22
4 ADVANCES IN APPLIED MATHEMATICS 7211 3% 1% 11
5 MATHEMATICS MAGAZINE 5442 1% 3% 2
6 STUDIES IN APPLIED MATHEMATICS 3786 2% 1% 7
7 SIAM REVIEW 3655 2% 1% 6
8 REVUE D HISTOIRE DES MATHEMATIQUES 2597 0% 3% 1
9 APPLIED MATHEMATICS AND COMPUTATION 2346 6% 0% 22
10 JOURNAL OF DIFFERENCE EQUATIONS AND APPLICATIONS 1969 2% 0% 6

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 PASCAL MATRIX 1513613 8% 59% 30 Search PASCAL+MATRIX Search PASCAL+MATRIX
2 STIRLING MATRIX 466982 2% 78% 7 Search STIRLING+MATRIX Search STIRLING+MATRIX
3 FIBONACCI MATRIX 385975 2% 75% 6 Search FIBONACCI+MATRIX Search FIBONACCI+MATRIX
4 PASCAL MATRICES 385975 2% 75% 6 Search PASCAL+MATRICES Search PASCAL+MATRICES
5 CATALAN MATRIX 343091 1% 100% 4 Search CATALAN+MATRIX Search CATALAN+MATRIX
6 FACTORIZATION OF MATRIX 343091 1% 100% 4 Search FACTORIZATION+OF+MATRIX Search FACTORIZATION+OF+MATRIX
7 CONFLUENT VANDERMONDE MATRICES 257318 1% 100% 3 Search CONFLUENT+VANDERMONDE+MATRICES Search CONFLUENT+VANDERMONDE+MATRICES
8 GENERALIZED VANDERMONDE MATRICES 257318 1% 100% 3 Search GENERALIZED+VANDERMONDE+MATRICES Search GENERALIZED+VANDERMONDE+MATRICES
9 LUCAS MATRIX 257318 1% 100% 3 Search LUCAS+MATRIX Search LUCAS+MATRIX
10 PASCAL K ELIMINATED FUNCTIONAL MATRIX 257318 1% 100% 3 Search PASCAL+K+ELIMINATED+FUNCTIONAL+MATRIX Search PASCAL+K+ELIMINATED+FUNCTIONAL+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 BEN TAHER, R , RACHIDI, M , (2016) SOLVING SOME GENERALIZED VANDERMONDE SYSTEMS AND INVERSE OF THEIR ASSOCIATE MATRICES VIA NEW APPROACHES FOR THE BINET FORMULA.APPLIED MATHEMATICS AND COMPUTATION. VOL. 290. ISSUE . P. 267 -280 13 100% 0
2 STANIMIROVIC, S , (2013) A MATRIX APPROACH TO THE BINOMIAL THEOREM.UKRAINIAN MATHEMATICAL JOURNAL. VOL. 64. ISSUE 11. P. 1784-1792 12 100% 0
3 YANG, SL , JIA, YY , (2009) SYMMETRIC POLYNOMIAL MATRICES AND VANDERMONDE MATRIX.INDIAN JOURNAL OF PURE & APPLIED MATHEMATICS. VOL. 40. ISSUE 6. P. 373 -388 14 82% 1
4 TANG, PP , XU, AM , (2012) GENERALIZED LEIBNIZ FUNCTIONAL MATRICES AND DIVIDED DIFFERENCE FORM OF THE LAGRANGE-BURMANN FORMULA.LINEAR ALGEBRA AND ITS APPLICATIONS. VOL. 436. ISSUE 3. P. 618-630 13 81% 1
5 WANG, WP , WANG, TM , (2008) IDENTITIES VIA BELL MATRIX AND FIBONACCI MATRIX.DISCRETE APPLIED MATHEMATICS. VOL. 156. ISSUE 14. P. 2793-2803 13 87% 6
6 YANG, SL , (2008) JORDAN CANONICAL FORM OF PASCAL-TYPE MATRICES VIA SEQUENCES OF BINOMIAL TYPE.DISCRETE APPLIED MATHEMATICS. VOL. 156. ISSUE 15. P. 3040-3045 11 100% 0
7 VERDE-STAR, L , (2004) GROUPS OF GENERALIZED PASCAL MATRICES.LINEAR ALGEBRA AND ITS APPLICATIONS. VOL. 382. ISSUE . P. 179-194 13 93% 6
8 STANIMIROVIC, S , (2011) SOME IDENTITIES ON CATALAN NUMBERS AND HYPERGEOMETRIC FUNCTIONS VIA CATALAN MATRIX POWER.APPLIED MATHEMATICS AND COMPUTATION. VOL. 217. ISSUE 22. P. 9122 -9132 10 100% 0
9 SPIVEY, MZ , ZIMMER, AM , (2008) SYMMETRIC POLYNOMIALS, PASCAL MATRICES, AND STIRLING MATRICES.LINEAR ALGEBRA AND ITS APPLICATIONS. VOL. 428. ISSUE 4. P. 1127-1134 13 76% 5
10 WANG, WP , WANG, TM , (2007) MATRICES RELATED TO THE BELL POLYNOMIALS.LINEAR ALGEBRA AND ITS APPLICATIONS. VOL. 422. ISSUE 1. P. 139-154 11 92% 2

Classes with closest relation at Level 1


Rank Class id link
1 14631 FIBONACCI QUARTERLY//FIBONACCI NUMBERS//LUCAS NUMBERS
2 16742 STIRLING NUMBERS//R STIRLING NUMBERS//EULER DISTRIBUTION
3 7998 TOEPLITZ MATRIX//TOEPLITZ MATRICES//DISPLACEMENT STRUCTURE
4 28514 STECHKINS PROBLEM//FAA DI BRUNOS FORMULA//DIFFERENTIATION OF COMPOSITE FUNCTIONS
5 23811 OPERATIONAL METHODS//MONOMIALITY PRINCIPLE//GENERATING RELATIONS
6 18253 NEVILLE ELIMINATION//TOTALLY POSITIVE MATRICES//TOTALLY POSITIVE MATRIX
7 14579 SUPERCONGRUENCES//GAUSSIAN HYPERGEOMETRIC SERIES//BINOMIAL COEFFICIENTS
8 35122 ALPHA CONCAVITY//ALGEBRA OF CONTINUOUS VECTOR VALUED FUNCTIONS//ANTI HOMOMORPHISMS
9 21228 SYMBOLIC SUMMATION//SYMBOL COMPUTAT//BOROS MOLL POLYNOMIALS
10 31541 CONTINUOUS TIME CT FILTER//ONE TO ONE COEFFICIENT MAPPING//PASCAL FILTERS

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