Class information for:
Level 2: BENFORDS LAW//CESTAC METHOD//3X1 PROBLEM

Basic class information
Class id #P Avg. number of
references		 Database coverage
of references
3563 1323 18.7 30%


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
485 3       LINEAR ALGEBRA AND ITS APPLICATIONS//BENFORDS LAW//MATHEMATICS, APPLIED 23484
3563 2             BENFORDS LAW//CESTAC METHOD//3X1 PROBLEM 1323
22671 1                   BENFORDS LAW//FIRST DIGIT LAW//MANTISSA 372
26839 1                   CESTAC METHOD//EVOLUTIONARY ENTROPY//STOCHASTIC ARITHMETIC 244
30030 1                   KAUNAS PUBL SECUR//AXISYMMETRIC QUADRILATERAL FINITE ELEMENTS//C 2 ELEMENTS 175
30095 1                   3X1 PROBLEM//COLLATZ PROBLEM//3X1 CONJECTURE 174
32449 1                   DIVERGENT PERMUTATIONS//UNIVERSAL FUZZY MEASURE//ASYMPTOTIC FUZZY MEASURE 139
32867 1                   INTEGRATION IN FINITE TERMS//THEORY OF EQUATIONS//ANTIDERIVATIVE EXTENSIONS 133
36125 1                   KNOT ELECTRODYNAMICS//ACCOMPANYING LINEAR FORMS//COPPER MOLYBDENUM COMPOSITE 86

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 BENFORDS LAW authKW 1669052 7% 80% 90
2 CESTAC METHOD authKW 351036 1% 89% 17
3 3X1 PROBLEM authKW 295402 1% 80% 16
4 EVOLUTIONARY ENTROPY authKW 184630 1% 100% 8
5 STOCHASTIC ARITHMETIC authKW 174904 1% 63% 12
6 COLLATZ CONJECTURE authKW 169940 1% 82% 9
7 FIRST DIGIT LAW authKW 164114 1% 89% 8
8 MANTISSA authKW 164114 1% 89% 8
9 COLLATZ PROBLEM authKW 155777 1% 75% 9
10 CADNA LIBRARY authKW 141356 1% 88% 7

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 5088 28% 0% 365
2 Mathematics, Applied 3088 20% 0% 265
3 Computer Science, Theory & Methods 1353 9% 0% 124
4 Statistics & Probability 934 7% 0% 92
5 Computer Science, Interdisciplinary Applications 526 6% 0% 79
6 Computer Science, Software Engineering 380 4% 0% 58
7 Mathematical & Computational Biology 324 3% 0% 42
8 Engineering, General 305 4% 0% 55
9 Mathematics, Interdisciplinary Applications 297 4% 0% 51
10 Engineering, Civil 243 4% 0% 58

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 LIRIMA UMMISCO 69236 0% 100% 3
2 KAUNAS PUBL SECUR 51926 0% 75% 3
3 AGIM CNRS 46157 0% 100% 2
4 AGIM CNRS UJF 3405 46157 0% 100% 2
5 UJF 3405 46157 0% 100% 2
6 CONTROLLING AUDITING 30770 0% 67% 2
7 IMAGCNRS 30770 0% 67% 2
8 AGIM AGEING IMAGING MODELINGFRE 3405 23079 0% 100% 1
9 AGIM FRE CNRS UJF 3405 23079 0% 100% 1
10 AGIM3 23079 0% 100% 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 THEORY OF PROBABILITY AND ITS APPLICATIONS 12038 2% 2% 32
2 AMERICAN MATHEMATICAL MONTHLY 9254 2% 1% 33
3 FIBRE SCIENCE & TECHNOLOGY 5816 1% 4% 7
4 JOURNAL OF SYMBOLIC COMPUTATION 4917 2% 1% 22
5 ACTA ARITHMETICA 4094 2% 1% 24
6 FIBONACCI QUARTERLY 3933 1% 1% 14
7 COMPUTERS & STRUCTURES 3803 3% 0% 39
8 BULLETIN BRAZILIAN MATHEMATICAL SOCIETY 3295 0% 14% 1
9 ACTA BIOTHEORETICA 3078 1% 1% 10
10 COMMUNICATIONS IN APPLIED NUMERICAL METHODS 2771 1% 2% 8

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 BENFORDS LAW 1669052 7% 80% 90 Search BENFORDS+LAW Search BENFORDS+LAW
2 CESTAC METHOD 351036 1% 89% 17 Search CESTAC+METHOD Search CESTAC+METHOD
3 3X1 PROBLEM 295402 1% 80% 16 Search 3X1+PROBLEM Search 3X1+PROBLEM
4 EVOLUTIONARY ENTROPY 184630 1% 100% 8 Search EVOLUTIONARY+ENTROPY Search EVOLUTIONARY+ENTROPY
5 STOCHASTIC ARITHMETIC 174904 1% 63% 12 Search STOCHASTIC+ARITHMETIC Search STOCHASTIC+ARITHMETIC
6 COLLATZ CONJECTURE 169940 1% 82% 9 Search COLLATZ+CONJECTURE Search COLLATZ+CONJECTURE
7 FIRST DIGIT LAW 164114 1% 89% 8 Search FIRST+DIGIT+LAW Search FIRST+DIGIT+LAW
8 MANTISSA 164114 1% 89% 8 Search MANTISSA Search MANTISSA
9 COLLATZ PROBLEM 155777 1% 75% 9 Search COLLATZ+PROBLEM Search COLLATZ+PROBLEM
10 CADNA LIBRARY 141356 1% 88% 7 Search CADNA+LIBRARY Search CADNA+LIBRARY

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 AUSLOOS, M , HERTELIU, C , ILEANU, B , (2015) BREAKDOWN OF BENFORD'S LAW FOR BIRTH DATA.PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS. VOL. 419. ISSUE . P. 736 -745 22 96% 13
2 SHAO, LJ , MA, BQ , (2010) THE SIGNIFICANT DIGIT LAW IN STATISTICAL PHYSICS.PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS. VOL. 389. ISSUE 16. P. 3109-3116 24 92% 4
3 PAVLOVIC, MN , (2003) SYMBOLIC COMPUTATION IN STRUCTURAL ENGINEERING.COMPUTERS & STRUCTURES. VOL. 81. ISSUE 22-23. P. 2121-2136 39 67% 22
4 VISKOV, OV , KHOKHLOV, VI , (2016) FOUR AREAS OF YU. V. PROKHOROV'S STUDIES AND THEIR PERSPECTIVES.THEORY OF PROBABILITY AND ITS APPLICATIONS. VOL. 60. ISSUE 2. P. 336 -342 20 91% 0
5 RAUCH, B , GOTTSCHE, M , BRAHLER, G , GEIDEL, F , PIETRAS, T , (2014) ASSESSING THE ACCOUNTABILITY REPORTS OF POLITICAL PARTIES IN GERMANY USING BENFORD'S LAW.BETRIEBSWIRTSCHAFTLICHE FORSCHUNG UND PRAXIS. VOL. 66. ISSUE 2. P. 175-191 19 100% 0
6 SHAO, LJ , MA, BQ , (2010) EMPIRICAL MANTISSA DISTRIBUTIONS OF PULSARS.ASTROPARTICLE PHYSICS. VOL. 33. ISSUE 4. P. 255-262 22 88% 6
7 WHYMAN, G , OHTORI, N , SHULZINGER, E , BORMASHENKO, E , (2016) REVISITING THE BENFORD LAW: WHEN THE BENFORD-LIKE DISTRIBUTION OF LEADING DIGITS IN SETS OF NUMERICAL DATA IS EXPECTABLE?.PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS. VOL. 461. ISSUE . P. 595 -601 19 86% 0
8 WHYMAN, G , SHULZINGER, E , BORMASHENKO, E , (2016) INTUITIVE CONSIDERATIONS CLARIFYING THE ORIGIN AND APPLICABILITY OF THE BENFORD LAW.RESULTS IN PHYSICS. VOL. 6. ISSUE . P. 3 -6 15 100% 1
9 MIR, TA , AUSLOOS, M , CERQUETI, R , (2014) BENFORD'S LAW PREDICTED DIGIT DISTRIBUTION OF AGGREGATED INCOME TAXES: THE SURPRISING CONFORMITY OF ITALIAN CITIES AND REGIONS.EUROPEAN PHYSICAL JOURNAL B. VOL. 87. ISSUE 11. P. - 20 80% 4
10 FORMANN, AK , (2010) THE NEWCOMB-BENFORD LAW IN ITS RELATION TO SOME COMMON DISTRIBUTIONS.PLOS ONE. VOL. 5. ISSUE 5. P. - 19 86% 5

Classes with closest relation at Level 2


Rank Class id link
1 3826 QUADRATIC STOCHASTIC OPERATOR//GREATEST TYPE DIVISOR//EVOLUTION ALGEBRA
2 2135 ORDER OF CONVERGENCE//SEMILOCAL CONVERGENCE//NONLINEAR EQUATIONS
3 3156 STATISTICAL CONVERGENCE//ABSOLUTE SUMMABILITY//DOUBLE SEQUENCES
4 1707 JOURNAL OF SYMBOLIC COMPUTATION//SCALAR MULTIPLICATION//FINITE FIELDS
5 3266 MAHLER MEASURE//KAC RICE FORMULA//RANDOM ALGEBRAIC POLYNOMIALS
6 2540 CELLULAR AUTOMATA//JOURNAL OF CELLULAR AUTOMATA//PHYSARUM POLYCEPHALUM
7 3494 RIGGED HILBERT SPACE//STUDIES STAT MECH COMPLEX SYST//SUBDYNAMICS
8 1193 ORTHOGONAL POLYNOMIALS//JOURNAL OF APPROXIMATION THEORY//JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS
9 3377 LINEABILITY//SPACEABILITY//ALGEBRABILITY
10 3199 SYSTOLIC ARRAY//ALGORITHM BASED FAULT TOLERANCE//ALGORITHM TRANSFORMATION

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