Class information for:
Level 1: 3X1 PROBLEM//COLLATZ CONJECTURE//COLLATZ 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
486 3       ERGODIC THEORY AND DYNAMICAL SYSTEMS//MATHEMATICS//HAUSDORFF DIMENSION 24099
3714 2             MAHLER MEASURE//SALEM NUMBERS//EXPLICIT AUXILIARY FUNCTION 1196
28911 1                   3X1 PROBLEM//COLLATZ CONJECTURE//COLLATZ PROBLEM 215

Terms with highest relevance score



rank Category termType chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 3X1 PROBLEM authKW 1786994 7% 76% 16
2 COLLATZ CONJECTURE authKW 989478 4% 75% 9
3 COLLATZ PROBLEM authKW 989478 4% 75% 9
4 3X1 CONJECTURE authKW 879540 3% 100% 6
5 BUSY BEAVER authKW 586360 2% 100% 4
6 SMALL UNIVERSAL TURING MACHINES authKW 586360 2% 100% 4
7 WYTHOFF PAIRS authKW 586360 2% 100% 4
8 3N1 PROBLEM authKW 523533 2% 71% 5
9 3N1 CONJECTURE authKW 439770 1% 100% 3
10 INTEGRAL FUNCTIONAL EQUATIONS authKW 439770 1% 100% 3

Web of Science journal categories



chi_square_rank Category chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 Mathematics 3915 58% 0% 125
2 Mathematics, Applied 982 27% 0% 59
3 Computer Science, Theory & Methods 518 14% 0% 30
4 Logic 147 2% 0% 4
5 Statistics & Probability 49 4% 0% 9
6 Computer Science, Software Engineering 43 4% 0% 8
7 Computer Science, Cybernetics 42 1% 0% 3
8 Physics, Mathematical 12 3% 0% 6
9 Automation & Control Systems 5 1% 0% 3
10 Computer Science, Information Systems 5 2% 0% 4

Address terms



chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 C C MOL 146590 0% 100% 1
2 DEF AUSTRALIA HMAS STIRLING 146590 0% 100% 1
3 EUIPE LOG 146590 0% 100% 1
4 MAT EST 146590 0% 100% 1
5 UFREA 3097 146590 0% 100% 1
6 UNIV TECHNOL METZ INFORMAT 146590 0% 100% 1
7 GRP INFORMAT FONDAMENTALE METZ 146588 1% 50% 2
8 BOOLE INFORMAT 78174 2% 13% 4
9 INESC AVEIRO 73294 0% 50% 1
10 TASS GRP 73294 0% 50% 1

Journals



chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 ACTA ARITHMETICA 14480 8% 1% 18
2 MATHEMATICS MAGAZINE 9303 1% 3% 2
3 AMERICAN MATHEMATICAL MONTHLY 7608 6% 0% 12
4 FIBONACCI QUARTERLY 6695 4% 1% 8
5 THEORETICAL COMPUTER SCIENCE 3878 8% 0% 17
6 ADVANCES IN APPLIED MATHEMATICS 3561 3% 0% 6
7 INTERNATIONAL JOURNAL OF UNCONVENTIONAL COMPUTING 2439 1% 1% 2
8 MATHEMATICS OF COMPUTATION 2304 4% 0% 8
9 ZEITSCHRIFT FUR ANALYSIS UND IHRE ANWENDUNGEN 1763 1% 0% 3
10 DISCRETE MATHEMATICS 1760 6% 0% 12

Author Key Words



chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass LCSH search Wikipedia search
1 3X1 PROBLEM 1786994 7% 76% 16 Search 3X1+PROBLEM Search 3X1+PROBLEM
2 COLLATZ CONJECTURE 989478 4% 75% 9 Search COLLATZ+CONJECTURE Search COLLATZ+CONJECTURE
3 COLLATZ PROBLEM 989478 4% 75% 9 Search COLLATZ+PROBLEM Search COLLATZ+PROBLEM
4 3X1 CONJECTURE 879540 3% 100% 6 Search 3X1+CONJECTURE Search 3X1+CONJECTURE
5 BUSY BEAVER 586360 2% 100% 4 Search BUSY+BEAVER Search BUSY+BEAVER
6 SMALL UNIVERSAL TURING MACHINES 586360 2% 100% 4 Search SMALL+UNIVERSAL+TURING+MACHINES Search SMALL+UNIVERSAL+TURING+MACHINES
7 WYTHOFF PAIRS 586360 2% 100% 4 Search WYTHOFF+PAIRS Search WYTHOFF+PAIRS
8 3N1 PROBLEM 523533 2% 71% 5 Search 3N1+PROBLEM Search 3N1+PROBLEM
9 3N1 CONJECTURE 439770 1% 100% 3 Search 3N1+CONJECTURE Search 3N1+CONJECTURE
10 INTEGRAL FUNCTIONAL EQUATIONS 439770 1% 100% 3 Search INTEGRAL+FUNCTIONAL+EQUATIONS Search INTEGRAL+FUNCTIONAL+EQUATIONS

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 37790 FRANKLS CONJECTURE//NESTED RECURSION//META FIBONACCI SEQUENCE
2 31665 DIVERGENT PERMUTATIONS//CONVERGENT PERMUTATIONS//UNIVERSAL FUZZY MEASURE
3 17822 MAHLER MEASURE//SALEM NUMBERS//EXPLICIT AUXILIARY FUNCTION
4 18056 HYPERCOMPUTATION//CHURCH TURING THESIS//ANALOG COMPUTATION
5 30475 PICTURE LANGUAGES//TWO DIMENSIONAL LANGUAGES//2D LANGUAGES
6 11767 DNA COMPUTING//SPLICING SYSTEMS//DNA COMPUTATION
7 29241 COVERING SYSTEMS//COVERING CONGRUENCES//SUMS OF PRIME POWERS
8 22967 BENFORDS LAW//FIRST DIGIT LAW//MANTISSA
9 5057 JOURNAL OF CELLULAR AUTOMATA//CELLULAR AUTOMATA//ELEMENTARY CELLULAR AUTOMATA
10 9893 SHIFTED PRIMES//ACTA ARITHMETICA//MULTIPLICATIVE FUNCTIONS

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