Class information for:
Level 1: GROSSONE//INFINITE AND INFINITESIMAL NUMBERS//INFINITE SETS

Basic class information
Class id #P Avg. number of
references		 Database coverage
of references
30789 163 20.7 27%


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
9 4 COMPUTER SCIENCE, THEORY & METHODS//COMPUTER SCIENCE, ARTIFICIAL INTELLIGENCE//COMPUTER SCIENCE, INFORMATION SYSTEMS 1247339
616 3       JOURNAL OF COMBINATORIAL DESIGNS//DISCRETE MATHEMATICS//MATHEMATICS 13952
4057 2             LATTICE ORDERED ALGEBRA//GROSSONE//LAGUERRE PLANE 623
30789 1                   GROSSONE//INFINITE AND INFINITESIMAL NUMBERS//INFINITE SETS 163

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 GROSSONE authKW 1686009 6% 100% 9
2 INFINITE AND INFINITESIMAL NUMBERS authKW 936672 3% 100% 5
3 INFINITE SETS authKW 780558 3% 83% 5
4 INFINITY COMPUTER authKW 562003 2% 100% 3
5 RELATIVITY OF MATHEMATICAL LANGUAGES authKW 562003 2% 100% 3
6 INFINITE UNIT AXIOM authKW 374669 1% 100% 2
7 NUMERICAL INFINITESIMALS authKW 374669 1% 100% 2
8 OBSERVABILITY OF TURING MACHINES authKW 374669 1% 100% 2
9 THEORY OF AUTOMATIC COMPUTATIONS authKW 374669 1% 100% 2
10 TIME DEPENDENT MAXWELLS SYSTEM authKW 374669 1% 100% 2

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, Applied 2838 52% 0% 85
2 Mathematics 753 30% 0% 49
3 Mechanics 706 23% 0% 38
4 Mathematics, Interdisciplinary Applications 499 13% 0% 21
5 Engineering, General 319 11% 0% 18
6 Physics, Mathematical 113 8% 0% 13
7 Computer Science, Theory & Methods 19 4% 0% 6
8 Physics, Fluids & Plasmas 17 3% 0% 5
9 Computer Science, Interdisciplinary Applications 7 2% 0% 4
10 Acoustics 4 1% 0% 2

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 BLACKETT CONDENSED MATTER THEORY GRP 187334 1% 100% 1
2 CIENCIA MAT SEDE B 187334 1% 100% 1
3 ECOLE SUPER INGN ELE OTECH ELECT 187334 1% 100% 1
4 MUHANDISLIK FAK 187334 1% 100% 1
5 SOFTWARE SUPERCOMP TECHNOL 93666 1% 50% 1
6 DOCTORAL PROGRAM COMP SCI 41626 1% 11% 2
7 TECH MATH GEOMETRIE BAUINFORMAT 41626 1% 11% 2
8 MOE DISASTER FORECAST CONTROL ENGN 35679 1% 10% 2
9 INFORMAT THEOR PL 34403 2% 6% 3
10 HIGH PERFORMANCE COMP NETWORKING 32972 3% 4% 5

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 INTERNATIONAL JOURNAL OF UNCONVENTIONAL COMPUTING 7108 2% 1% 3
2 CMC-COMPUTERS MATERIALS & CONTINUA 4842 2% 1% 4
3 APPLIED MATHEMATICS AND COMPUTATION 3083 10% 0% 17
4 INFORMATICA 3021 2% 1% 3
5 QUARTERLY JOURNAL OF MECHANICS AND APPLIED MATHEMATICS 2598 2% 0% 4
6 RUSSIAN JOURNAL OF MATHEMATICAL PHYSICS 2147 2% 0% 3
7 GEORGIAN MATHEMATICAL JOURNAL 1594 1% 0% 2
8 APPLIED MATHEMATICS AND MECHANICS-ENGLISH EDITION 1592 3% 0% 5
9 COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION 1256 3% 0% 5
10 JOURNAL OF PSEUDO-DIFFERENTIAL OPERATORS AND APPLICATIONS 1207 1% 1% 1

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 GROSSONE 1686009 6% 100% 9 Search GROSSONE Search GROSSONE
2 INFINITE AND INFINITESIMAL NUMBERS 936672 3% 100% 5 Search INFINITE+AND+INFINITESIMAL+NUMBERS Search INFINITE+AND+INFINITESIMAL+NUMBERS
3 INFINITE SETS 780558 3% 83% 5 Search INFINITE+SETS Search INFINITE+SETS
4 INFINITY COMPUTER 562003 2% 100% 3 Search INFINITY+COMPUTER Search INFINITY+COMPUTER
5 RELATIVITY OF MATHEMATICAL LANGUAGES 562003 2% 100% 3 Search RELATIVITY+OF+MATHEMATICAL+LANGUAGES Search RELATIVITY+OF+MATHEMATICAL+LANGUAGES
6 INFINITE UNIT AXIOM 374669 1% 100% 2 Search INFINITE+UNIT+AXIOM Search INFINITE+UNIT+AXIOM
7 NUMERICAL INFINITESIMALS 374669 1% 100% 2 Search NUMERICAL+INFINITESIMALS Search NUMERICAL+INFINITESIMALS
8 OBSERVABILITY OF TURING MACHINES 374669 1% 100% 2 Search OBSERVABILITY+OF+TURING+MACHINES Search OBSERVABILITY+OF+TURING+MACHINES
9 THEORY OF AUTOMATIC COMPUTATIONS 374669 1% 100% 2 Search THEORY+OF+AUTOMATIC+COMPUTATIONS Search THEORY+OF+AUTOMATIC+COMPUTATIONS
10 TIME DEPENDENT MAXWELLS SYSTEM 374669 1% 100% 2 Search TIME+DEPENDENT+MAXWELLS+SYSTEM Search TIME+DEPENDENT+MAXWELLS+SYSTEM

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 SERGEYEV, YD , MUKHAMETZHANOV, MS , MAZZIA, F , IAVERNARO, F , AMODIO, P , (2016) NUMERICAL METHODS FOR SOLVING INITIAL VALUE PROBLEMS ON THE INFINITY COMPUTER.INTERNATIONAL JOURNAL OF UNCONVENTIONAL COMPUTING. VOL. 12. ISSUE 1. P. 3 -23 25 83% 2
2 SERGEYEV, YD , (2016) THE EXACT (UP TO INFINITESIMALS) INFINITE PERIMETER OF THE KOCH SNOWFLAKE AND ITS FINITE AREA.COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION. VOL. 31. ISSUE 1-3. P. 21 -29 21 88% 1
3 SERGEYEV, YD , (2013) SOLVING ORDINARY DIFFERENTIAL EQUATIONS ON THE INFINITY COMPUTER BY WORKING WITH INFINITESIMALS NUMERICALLY.APPLIED MATHEMATICS AND COMPUTATION. VOL. 219. ISSUE 22. P. 10668-10681 16 70% 12
4 SERGEYEV, YD , GARRO, A , (2013) SINGLE-TAPE AND MULTI-TAPE TURING MACHINES THROUGH THE LENS OF THE GROSSONE METHODOLOGY.JOURNAL OF SUPERCOMPUTING. VOL. 65. ISSUE 2. P. 645 -663 15 75% 10
5 SERGEYEV, YD , (2016) THE DIFFICULTY OF PRIME FACTORIZATION IS A CONSEQUENCE OF THE POSITIONAL NUMERAL SYSTEM.INTERNATIONAL JOURNAL OF UNCONVENTIONAL COMPUTING. VOL. 12. ISSUE 5-6. P. 453 -463 13 81% 0
6 WAGNER, P , (2011) THE SINGULAR TERMS IN THE FUNDAMENTAL MATRIX OF CRYSTAL OPTICS.PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES. VOL. 467. ISSUE 2133. P. 2663-2689 11 92% 2
7 YAKHNO, V , ALTUNKAYNAK, M , (2016) A POLYNOMIAL APPROACH TO DETERMINE THE TIME-DEPENDENT ELECTRIC AND MAGNETIC FIELDS IN ANISOTROPIC MATERIALS BY SYMBOLIC COMPUTATIONS.COMPEL-THE INTERNATIONAL JOURNAL FOR COMPUTATION AND MATHEMATICS IN ELECTRICAL AND ELECTRONIC ENGINEERING. VOL. 35. ISSUE 3. P. 1179 -1202 13 62% 0
8 IUDIN, DI , SERGEYEV, YD , HAYAKAWA, M , (2015) INFINITY COMPUTATIONS IN CELLULAR AUTOMATON FOREST-FIRE MODEL.COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION. VOL. 20. ISSUE 3. P. 861 -870 11 65% 6
9 IUDIN, DI , SERGEYEV, YD , HAYAKAWA, M , (2015) REPRINT OF INFINITY COMPUTATIONS IN CELLULAR AUTOMATON FOREST-FIRE MODEL.COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION. VOL. 21. ISSUE 1-3. P. 190 -199 12 63% 2
10 KAUFFMAN, LH , (2015) INFINITE COMPUTATIONS AND THE GENERIC FINITE.APPLIED MATHEMATICS AND COMPUTATION. VOL. 255. ISSUE . P. 25 -35 7 100% 3

Classes with closest relation at Level 1


Rank Class id link
1 35812 LATTICE ORDERED ALGEBRA//LATTICE ORDERED RING//LEVI CIVITA FIELD
2 26119 HERMITE HEAT EQUATION//S CONVOLUTION//MEHLER KERNEL
3 30030 KAUNAS PUBL SECUR//AXISYMMETRIC QUADRILATERAL FINITE ELEMENTS//C 2 ELEMENTS
4 24266 DEGENERATE SCALE//DEGENERATE KERNEL//HARBOR RIVER ENGN
5 30295 CUICBAS//ARBITRARY BOUNDARIES//INHOMOGENEOUS STRING
6 34182 DISTANCE STUDIES//INTRINSIC DIMENSIONALITY ESTIMATION//INTRINSIC DIMENSION ESTIMATION
7 14456 BOUNDARY ELEMENT METHOD//GREEN ELEMENT METHOD//RADIAL INTEGRATION METHOD
8 23811 OPERATIONAL METHODS//MONOMIALITY PRINCIPLE//GENERATING RELATIONS
9 30399 BI2FE4O9//MULLITE TYPE COMPOUNDS//MULLITE TYPE
10 24288 ASYMPTOTIC BEHAVIOR OF GENERALIZED FUNCTIONS//QUASIASYMPTOTICS//DISTRIBUTIONAL POINT VALUES

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