Class information for:
Level 1: HILBERTS TENTH PROBLEM//DIOPHANTINE DEFINITION//BUCHIS PROBLEM

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
458 3       LOGIC//JOURNAL OF SYMBOLIC LOGIC//TOPOLOGY AND ITS APPLICATIONS 26185
3505 2             HILBERTS TENTH PROBLEM//BUTLER GROUPS//TOTALLY PROJECTIVE GROUPS 1550
25484 1                   HILBERTS TENTH PROBLEM//DIOPHANTINE DEFINITION//BUCHIS PROBLEM 304

Terms with highest relevance score



rank Category termType chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 HILBERTS TENTH PROBLEM authKW 1981553 10% 66% 29
2 DIOPHANTINE DEFINITION authKW 725713 2% 100% 7
3 BUCHIS PROBLEM authKW 466527 2% 75% 6
4 BUCHI SEQUENCES authKW 311020 1% 100% 3
5 DAVIS PUTNAM ROBINSON MATIYASEVICH THEOREM authKW 311020 1% 100% 3
6 FM REPRESENTABILITY authKW 311020 1% 100% 3
7 PASCALS TRIANGLE MODULE N authKW 311020 1% 100% 3
8 FINITE ARITHMETIC authKW 233263 1% 75% 3
9 HILBERTS 10TH PROBLEM authKW 233263 1% 75% 3
10 BUCHI PROBLEM authKW 207346 1% 100% 2

Web of Science journal categories



chi_square_rank Category chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 Logic 30525 22% 0% 67
2 Mathematics 12606 87% 0% 264
3 Mathematics, Applied 871 22% 0% 67
4 Computer Science, Theory & Methods 74 5% 0% 15
5 Computer Science, Software Engineering 35 3% 0% 9
6 Operations Research & Management Science 8 2% 0% 5
7 Multidisciplinary Sciences 5 1% 0% 3
8 Philosophy 0 0% 0% 1
9 Computer Science, Information Systems -0 1% 0% 2
10 Computer Science, Artificial Intelligence -0 1% 0% 2

Address terms



chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 VAKGRP KWANTITAT TECH 207346 1% 100% 2
2 SERV LOG MATH ALGEBRE 138230 1% 67% 2
3 CASE7012 103673 0% 100% 1
4 EQUIPE LOG URA 753 103673 0% 100% 1
5 KRAKOW PRZEDMIESCIE 3 103673 0% 100% 1
6 LLAIC 1 103673 0% 100% 1
7 LOG ALGORITHM COMPLEX 103673 0% 100% 1
8 LOG ALGORITHM INFORMAT CLERMONT 1 103673 0% 100% 1
9 LOG ALGORITHM INFORMAT DE CLERMONT 1 103673 0% 100% 1
10 MATH LE PENTAGONE 51836 0% 50% 1

Journals



chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 JOURNAL OF SYMBOLIC LOGIC 62185 14% 1% 42
2 ANNALS OF PURE AND APPLIED LOGIC 5952 4% 1% 11
3 JOURNAL OF NUMBER THEORY 4170 5% 0% 14
4 COMPTES RENDUS DE L ACADEMIE DES SCIENCES SERIE I-MATHEMATIQUE 3949 6% 0% 18
5 MATHEMATICAL LOGIC QUARTERLY 3127 2% 1% 6
6 ACTA ARITHMETICA 2549 3% 0% 9
7 JOURNAL OF ALGEBRA 2509 6% 0% 18
8 PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY 2416 7% 0% 20
9 REPORTS ON MATHEMATICAL LOGIC 2252 0% 2% 1
10 ZEITSCHRIFT FUR MATHEMATISCHE LOGIK UND GRUNDLAGEN DER MATHEMATIK 1871 1% 1% 3

Author Key Words



chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass LCSH search Wikipedia search
1 HILBERTS TENTH PROBLEM 1981553 10% 66% 29 Search HILBERTS+TENTH+PROBLEM Search HILBERTS+TENTH+PROBLEM
2 DIOPHANTINE DEFINITION 725713 2% 100% 7 Search DIOPHANTINE+DEFINITION Search DIOPHANTINE+DEFINITION
3 BUCHIS PROBLEM 466527 2% 75% 6 Search BUCHIS+PROBLEM Search BUCHIS+PROBLEM
4 BUCHI SEQUENCES 311020 1% 100% 3 Search BUCHI+SEQUENCES Search BUCHI+SEQUENCES
5 DAVIS PUTNAM ROBINSON MATIYASEVICH THEOREM 311020 1% 100% 3 Search DAVIS+PUTNAM+ROBINSON+MATIYASEVICH+THEOREM Search DAVIS+PUTNAM+ROBINSON+MATIYASEVICH+THEOREM
6 FM REPRESENTABILITY 311020 1% 100% 3 Search FM+REPRESENTABILITY Search FM+REPRESENTABILITY
7 PASCALS TRIANGLE MODULE N 311020 1% 100% 3 Search PASCALS+TRIANGLE+MODULE+N Search PASCALS+TRIANGLE+MODULE+N
8 FINITE ARITHMETIC 233263 1% 75% 3 Search FINITE+ARITHMETIC Search FINITE+ARITHMETIC
9 HILBERTS 10TH PROBLEM 233263 1% 75% 3 Search HILBERTS+10TH+PROBLEM Search HILBERTS+10TH+PROBLEM
10 BUCHI PROBLEM 207346 1% 100% 2 Search BUCHI+PROBLEM Search BUCHI+PROBLEM

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 36503 2 NILPOTENT GROUP OF FINITE RANK//ABELIAN DEFORMATION//CANCELLABLE IN DIRECT PRODUCTS
2 15676 HURWITZ SPACES//BRAID MOVES//HILBERTIAN FIELDS
3 9935 ELLIPTIC CURVES//CONGRUENT NUMBERS//MODULAR CURVES
4 23674 MANINS CONJECTURE//HERMITE CONSTANT//UNIVERSAL TORSORS
5 33243 SCATTERED SUBWORD//PARIKH MATRIX//SUBWORD
6 25001 UNIVERSAL ALGEBRAIC GEOMETRY//UNIVERSAL EQUIVALENCE//ALGEBRA AND LOGIC
7 14415 TREE TRANSDUCER//AUTOMATIC STRUCTURES//GRAPH GRAMMARS
8 18318 MEROMORPHIC MAPPING//SECOND MAIN THEOREM//TRUNCATED MULTIPLICITY
9 15283 FINITE MODEL THEORY//DESCRIPTIVE COMPLEXITY//CONSTRAINT DATABASES
10 2560 EXPONENTIAL DIOPHANTINE EQUATION//DIOPHANTINE EQUATIONS//LINEAR FORMS IN LOGARITHMS

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