Class information for:
Level 1: MATRIX PENCIL THEORY//MATRIX DIFFERENCE EQUATIONS//FIBONACCI QUARTERLY

Basic class information

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
14 4 MATHEMATICS//MATHEMATICS, APPLIED//MATH 912822
434 3       JOURNAL OF APPROXIMATION THEORY//MATHEMATICS//ORTHOGONAL POLYNOMIALS 28449
3602 2             FIBONACCI QUARTERLY//LUCAS NUMBERS//FIBONACCI NUMBERS 1378
27603 1                   MATRIX PENCIL THEORY//MATRIX DIFFERENCE EQUATIONS//FIBONACCI QUARTERLY 245

Terms with highest relevance score



rank Category termType chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 MATRIX PENCIL THEORY authKW 748446 3% 73% 8
2 MATRIX DIFFERENCE EQUATIONS authKW 343037 2% 67% 4
3 FIBONACCI QUARTERLY journal 258374 22% 4% 53
4 COMPANION FACTORIZATION authKW 257280 1% 100% 2
5 ENSAT TANGER address 257280 1% 100% 2
6 EQUIP DEFA address 257280 1% 100% 2
7 LTV IIR SYSTEM authKW 257280 1% 100% 2
8 MATH SECT LEGT F ARAGO address 257280 1% 100% 2
9 MATRIX LINEAR SYSTEMS authKW 257280 1% 100% 2
10 MAYFAIR address 257280 1% 100% 2

Web of Science journal categories



chi_square_rank Category chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 Mathematics 3873 54% 0% 133
2 Mathematics, Applied 3070 44% 0% 109
3 Automation & Control Systems 186 6% 0% 15
4 Mathematics, Interdisciplinary Applications 37 3% 0% 8
5 Logic 30 1% 0% 2
6 Engineering, General 23 3% 0% 7
7 Physics, Mathematical 21 3% 0% 8
8 Statistics & Probability 9 2% 0% 5
9 Computer Science, Theory & Methods 6 2% 0% 5
10 Engineering, Electrical & Electronic 6 6% 0% 14

Address terms



chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 ENSAT TANGER 257280 1% 100% 2
2 EQUIP DEFA 257280 1% 100% 2
3 MATH SECT LEGT F ARAGO 257280 1% 100% 2
4 MAYFAIR 257280 1% 100% 2
5 MATH PL INFORMAT TECHNOL ETSIT UPM 171519 1% 67% 2
6 TECH LISBON 171519 1% 67% 2
7 MATH PL INFORMAT TECHNOL 153135 2% 24% 5
8 GRP DEFA 144716 1% 38% 3
9 EQUIPE DEFA 128640 0% 100% 1
10 FDN MARCOS MOSHINSKY AC 128640 0% 100% 1

Journals



chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 FIBONACCI QUARTERLY 258374 22% 4% 53
2 ADVANCES IN APPLIED MATHEMATICS 10517 4% 1% 11
3 STUDIES IN APPLIED MATHEMATICS 5564 3% 1% 7
4 SIAM REVIEW 5367 2% 1% 6
5 REVUE D HISTOIRE DES MATHEMATIQUES 3571 0% 3% 1
6 IMA JOURNAL OF MATHEMATICAL CONTROL AND INFORMATION 3001 2% 1% 4
7 AMERICAN MATHEMATICAL MONTHLY 2961 3% 0% 8
8 LINEAR ALGEBRA AND ITS APPLICATIONS 2130 6% 0% 14
9 JOURNAL OF DIFFERENCE EQUATIONS AND APPLICATIONS 1972 2% 0% 5
10 ELECTRONIC JOURNAL OF LINEAR ALGEBRA 1578 1% 0% 3

Author Key Words



chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass LCSH search Wikipedia search
1 MATRIX PENCIL THEORY 748446 3% 73% 8 Search MATRIX+PENCIL+THEORY Search MATRIX+PENCIL+THEORY
2 MATRIX DIFFERENCE EQUATIONS 343037 2% 67% 4 Search MATRIX+DIFFERENCE+EQUATIONS Search MATRIX+DIFFERENCE+EQUATIONS
3 COMPANION FACTORIZATION 257280 1% 100% 2 Search COMPANION+FACTORIZATION Search COMPANION+FACTORIZATION
4 LTV IIR SYSTEM 257280 1% 100% 2 Search LTV+IIR+SYSTEM Search LTV+IIR+SYSTEM
5 MATRIX LINEAR SYSTEMS 257280 1% 100% 2 Search MATRIX+LINEAR+SYSTEMS Search MATRIX+LINEAR+SYSTEMS
6 ALGEBRA OF MATRICES 231549 1% 60% 3 Search ALGEBRA+OF+MATRICES Search ALGEBRA+OF+MATRICES
7 DYNAMIC SOLUTIONS 171519 1% 67% 2 Search DYNAMIC+SOLUTIONS Search DYNAMIC+SOLUTIONS
8 NESTED SUM 171519 1% 67% 2 Search NESTED+SUM Search NESTED+SUM
9 NESTED SUMS 171519 1% 67% 2 Search NESTED+SUMS Search NESTED+SUMS
10 NABLA OPERATOR 165391 1% 43% 3 Search NABLA+OPERATOR Search NABLA+OPERATOR

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.

Classes with closest relation at Level 1



rank cluster_id2 link
1 34914 ANTILOGARITHMIC MAPPING//COMPLEX SPATIAL VARIABLES//LEIBNIZ CONDITION
2 11366 FIBONACCI QUARTERLY//LUCAS NUMBERS//FIBONACCI NUMBERS
3 32268 SLOWLY VARYING COEFFICIENTS//QUASI HERMITIAN OPERATORS//COMMUTING MATRIX FUNCTIONS
4 19310 TRIDIAGONAL MATRICES//JORDANS FORM//ANTI TRIDIAGONAL MATRICES
5 12655 RIORDAN ARRAYS//RIORDAN GROUP//PASCAL MATRIX
6 20679 STIRLING NUMBERS//R STIRLING NUMBERS//BELL NUMBERS
7 21235 MATRIX SIGN FUNCTION//MATRIX PTH ROOT//MATRIX SQUARE ROOT
8 37779 SADDLE CONNECTIONS//BLOWING UPS//TANGENT VECTOR FIELD
9 34511 UPPER OUTLIER//SLIPPAGE ALTERNATIVE//SWAMPING EFFECT
10 34661 METHODS MATH MODELS PL SCI//GEOMETRY OF PARTIAL DIFFERENTIAL EQUATIONS//BORDISMS GROUPS IN PDES

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