Class information for:
Level 1: INVERSE NODAL PROBLEM//INVERSE SPECTRAL PROBLEM//STURM LIOUVILLE OPERATOR

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
468 3       PHYSICS, MATHEMATICAL//MATHEMATICS//JOURNAL OF MATHEMATICAL PHYSICS 25817
1864 2             STURM LIOUVILLE PROBLEM//STURM LIOUVILLE OPERATOR//INVERSE SPECTRAL PROBLEM 6417
5435 1                   INVERSE NODAL PROBLEM//INVERSE SPECTRAL PROBLEM//STURM LIOUVILLE OPERATOR 1655

Terms with highest relevance score



rank Category termType chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 INVERSE NODAL PROBLEM authKW 765387 3% 93% 43
2 INVERSE SPECTRAL PROBLEM authKW 734812 5% 48% 81
3 STURM LIOUVILLE OPERATOR authKW 609337 5% 41% 79
4 EIGENPARAMETER DEPENDENT BOUNDARY CONDITIONS authKW 533800 2% 97% 29
5 TRANSMISSION CONDITIONS authKW 523591 3% 50% 55
6 STURM LIOUVILLE PROBLEM authKW 503126 6% 27% 97
7 SPECTRAL SINGULARITIES authKW 350017 2% 74% 25
8 INVERSE STURM LIOUVILLE PROBLEM authKW 250131 1% 77% 17
9 HALF INVERSE PROBLEM authKW 247542 1% 100% 13
10 INVERSE SPECTRAL THEORY authKW 230792 1% 61% 20

Web of Science journal categories



chi_square_rank Category chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 Mathematics 38519 65% 0% 1084
2 Mathematics, Applied 26555 50% 0% 830
3 Physics, Mathematical 5184 16% 0% 266
4 Mathematics, Interdisciplinary Applications 99 2% 0% 37
5 Engineering, General 41 2% 0% 29
6 Multidisciplinary Sciences 32 1% 0% 17
7 Physics, Multidisciplinary 1 2% 0% 36
8 Computer Science, Software Engineering 0 1% 0% 10
9 Materials Science, Characterization, Testing -0 0% 0% 2
10 Computer Science, Interdisciplinary Applications -0 1% 0% 10

Address terms



chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 BRANCH HYDROACOUST 164570 1% 79% 11
2 INVEST INFORMAT INGN 50775 0% 67% 4
3 ANAL SCI COMP 32297 2% 6% 29
4 ANAL TECH MATH 32058 0% 21% 8
5 EDPPM 25388 0% 67% 2
6 MATH MECH 23871 4% 2% 68
7 MATH SCI GRP 20763 0% 18% 6
8 MATH 19987 41% 0% 685
9 ANALYSIS SCI COMPUTING 19042 0% 100% 1
10 CHAIR ELASTIC THEORY 19042 0% 100% 1

Journals



chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 INVERSE PROBLEMS 81674 7% 3% 123
2 INTEGRAL EQUATIONS AND OPERATOR THEORY 24269 3% 2% 54
3 PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A-MATHEMATICS 15987 3% 2% 47
4 DIFFERENTIAL EQUATIONS 15862 3% 1% 57
5 BOUNDARY VALUE PROBLEMS 13555 2% 2% 34
6 INVERSE PROBLEMS IN SCIENCE AND ENGINEERING 11520 1% 3% 23
7 OPERATORS AND MATRICES 9877 1% 3% 16
8 JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS 9651 6% 0% 105
9 ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS 8464 2% 1% 38
10 DOKLADY MATHEMATICS 8166 2% 1% 37

Author Key Words



chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass LCSH search Wikipedia search
1 INVERSE NODAL PROBLEM 765387 3% 93% 43 Search INVERSE+NODAL+PROBLEM Search INVERSE+NODAL+PROBLEM
2 INVERSE SPECTRAL PROBLEM 734812 5% 48% 81 Search INVERSE+SPECTRAL+PROBLEM Search INVERSE+SPECTRAL+PROBLEM
3 STURM LIOUVILLE OPERATOR 609337 5% 41% 79 Search STURM+LIOUVILLE+OPERATOR Search STURM+LIOUVILLE+OPERATOR
4 EIGENPARAMETER DEPENDENT BOUNDARY CONDITIONS 533800 2% 97% 29 Search EIGENPARAMETER+DEPENDENT+BOUNDARY+CONDITIONS Search EIGENPARAMETER+DEPENDENT+BOUNDARY+CONDITIONS
5 TRANSMISSION CONDITIONS 523591 3% 50% 55 Search TRANSMISSION+CONDITIONS Search TRANSMISSION+CONDITIONS
6 STURM LIOUVILLE PROBLEM 503126 6% 27% 97 Search STURM+LIOUVILLE+PROBLEM Search STURM+LIOUVILLE+PROBLEM
7 SPECTRAL SINGULARITIES 350017 2% 74% 25 Search SPECTRAL+SINGULARITIES Search SPECTRAL+SINGULARITIES
8 INVERSE STURM LIOUVILLE PROBLEM 250131 1% 77% 17 Search INVERSE+STURM+LIOUVILLE+PROBLEM Search INVERSE+STURM+LIOUVILLE+PROBLEM
9 HALF INVERSE PROBLEM 247542 1% 100% 13 Search HALF+INVERSE+PROBLEM Search HALF+INVERSE+PROBLEM
10 INVERSE SPECTRAL THEORY 230792 1% 61% 20 Search INVERSE+SPECTRAL+THEORY Search INVERSE+SPECTRAL+THEORY

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 25965 SPECTRAL PARAMETER POWER SERIES//PSEUDOANALYTIC FUNCTION//CP METHODS
2 13292 CONJOINED BASIS//LIMIT POINT CASE//DISCRETE SYMPLECTIC SYSTEM
3 15820 HILL OPERATOR//REGULAR BOUNDARY CONDITIONS//METHOD OF SIMILAR OPERATORS
4 17753 KREIN SPACE//DEFINITIZABLE OPERATOR//J SELF ADJOINT OPERATOR
5 7700 POINT INTERACTIONS//QUANTUM GRAPHS//SELF ADJOINT EXTENSION
6 28636 AEROELASTIC MODES//ROOT VECTORS//CONVOLUTION INTEGRAL OPERATOR
7 27411 BETHE SOMMERFELD CONJECTURE//MAGNITOGORSK STATE PEDAG//REGULARIZED TRACE
8 32960 OSCILLATION OF EIGENFUNCTIONS//SELF SIMILAR FUNCTION//STRATIFIED SET
9 14720 JACOBI MATRICES//ABSOLUTELY CONTINUOUS SPECTRUM//UNIVERSALITY LIMITS
10 32664 ARBITRARY QUANTIZATION OF ANGULAR MOMENTUM//FISH EYE MODEL//MATRIX OPERATOR ALGEBRA

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