Class information for:
Level 2: LATTICE ORDERED ALGEBRA//GROSSONE//LAGUERRE PLANE

Basic class information
Class id #P Avg. number of
references		 Database coverage
of references
4057 623 17.1 23%


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
22764 1                   LAGUERRE PLANE//CHAIN SPACES//ABT TOPOL 369
30789 1                   GROSSONE//INFINITE AND INFINITESIMAL NUMBERS//INFINITE SETS 163
35812 1                   LATTICE ORDERED ALGEBRA//LATTICE ORDERED RING//LEVI CIVITA FIELD 91

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 LATTICE ORDERED ALGEBRA authKW 505592 2% 74% 14
2 GROSSONE authKW 441110 1% 100% 9
3 LAGUERRE PLANE authKW 350081 2% 71% 10
4 CHAIN SPACES authKW 294073 1% 100% 6
5 LATTICE ORDERED RING authKW 248116 1% 56% 9
6 INFINITE AND INFINITESIMAL NUMBERS authKW 245061 1% 100% 5
7 LEVI CIVITA FIELD authKW 245061 1% 100% 5
8 INFINITE SETS authKW 204216 1% 83% 5
9 ABT TOPOL address 196049 1% 100% 4
10 COMPACT PROJECTIVE PLANES authKW 196049 1% 100% 4

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 21476 79% 0% 493
2 Mathematics, Applied 1862 22% 0% 140
3 Mechanics 135 6% 0% 38
4 Mathematics, Interdisciplinary Applications 114 4% 0% 22
5 Engineering, General 60 3% 0% 18
6 Physics, Mathematical 27 3% 0% 16
7 Computer Science, Theory & Methods 12 2% 0% 12
8 History & Philosophy of Science 2 0% 0% 2
9 Logic 2 0% 0% 1
10 Physics, Fluids & Plasmas 1 1% 0% 5

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 ABT TOPOL 196049 1% 100% 4
2 MATH B1 98024 0% 100% 2
3 ABT TOPOL GRUNDLAGEN ANAL 49012 0% 100% 1
4 ALGEBRA ZAHLENTHEOR 49012 0% 100% 1
5 BLACKETT CONDENSED MATTER THEORY GRP 49012 0% 100% 1
6 CIENCIA MAT SEDE B 49012 0% 100% 1
7 ECOLE SUPER INGN ELE OTECH ELECT 49012 0% 100% 1
8 F GEOMETRIE TOPOL 49012 0% 100% 1
9 MATEMAT BILGISAYAR BILIMLERI BOLUMU 49012 0% 100% 1
10 MATH B 1 49012 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 GEOMETRIAE DEDICATA 102355 13% 3% 79
2 ABHANDLUNGEN AUS DEM MATHEMATISCHEN SEMINAR DER UNIVERSITAT HAMBURG 59799 4% 4% 28
3 ADVANCES IN GEOMETRY 33303 3% 3% 20
4 ARCHIV DER MATHEMATIK 30550 9% 1% 56
5 MONATSHEFTE FUR MATHEMATIK 12450 4% 1% 24
6 FORUM MATHEMATICUM 8647 2% 1% 15
7 JOURNAL OF LIE THEORY 6481 2% 1% 10
8 INTERNATIONAL JOURNAL OF UNCONVENTIONAL COMPUTING 1855 0% 1% 3
9 COMMUNICATIONS IN ALGEBRA 1803 3% 0% 19
10 ALGEBRA UNIVERSALIS 1746 1% 0% 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 LATTICE ORDERED ALGEBRA 505592 2% 74% 14 Search LATTICE+ORDERED+ALGEBRA Search LATTICE+ORDERED+ALGEBRA
2 GROSSONE 441110 1% 100% 9 Search GROSSONE Search GROSSONE
3 LAGUERRE PLANE 350081 2% 71% 10 Search LAGUERRE+PLANE Search LAGUERRE+PLANE
4 CHAIN SPACES 294073 1% 100% 6 Search CHAIN+SPACES Search CHAIN+SPACES
5 LATTICE ORDERED RING 248116 1% 56% 9 Search LATTICE+ORDERED+RING Search LATTICE+ORDERED+RING
6 INFINITE AND INFINITESIMAL NUMBERS 245061 1% 100% 5 Search INFINITE+AND+INFINITESIMAL+NUMBERS Search INFINITE+AND+INFINITESIMAL+NUMBERS
7 LEVI CIVITA FIELD 245061 1% 100% 5 Search LEVI+CIVITA+FIELD Search LEVI+CIVITA+FIELD
8 INFINITE SETS 204216 1% 83% 5 Search INFINITE+SETS Search INFINITE+SETS
9 COMPACT PROJECTIVE PLANES 196049 1% 100% 4 Search COMPACT+PROJECTIVE+PLANES Search COMPACT+PROJECTIVE+PLANES
10 FLAT LAGUERRE PLANE 196049 1% 100% 4 Search FLAT+LAGUERRE+PLANE Search FLAT+LAGUERRE+PLANE

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 KNARR, N , STROPPEL, M , (2014) UNITALS OVER COMPOSITION ALGEBRAS.FORUM MATHEMATICUM. VOL. 26. ISSUE 3. P. 931 -951 14 100% 1
4 STROPPEL, M , (1994) STABLE PLANES.DISCRETE MATHEMATICS. VOL. 129. ISSUE 1-3. P. 181-189 23 96% 2
5 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
6 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
7 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
8 STROPPEL, M , (2005) AFFINE PARTS OF TOPOLOGICAL UNITALS.ADVANCES IN GEOMETRY. VOL. 5. ISSUE 4. P. 533-557 12 100% 2
9 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
10 HAHL, H , SALZMANN, H , (2005) 16-DIMENSIONAL COMPACT PROJECTIVE PLANES WITH A LARGE GROUP FIXING TWO POINTS AND TWO LINES.ARCHIV DER MATHEMATIK. VOL. 85. ISSUE 1. P. 89 -100 11 100% 3

Classes with closest relation at Level 2


Rank Class id link
1 1380 PURE MATH COMP ALGEBRA//DISTANCE REGULAR GRAPH//ASSOCIATION SCHEME
2 3429 QUADRATIC DIFFERENTIAL FORMS//BEHAVIORAL APPROACH//MULTIDIMENSIONAL SYSTEMS
3 3334 NEUTRIX LIMIT//COLOMBEAU ALGEBRA//BOEHMIANS
4 3307 ZERO DIVISOR GRAPH//S POSET//ZERO DIVISOR
5 2096 JOURNAL OF COMBINATORIAL DESIGNS//ARS COMBINATORIA//DISCRETE MATHEMATICS
6 2045 DEFORMATION QUANTIZATION//LEIBNIZ ALGEBRA//LIE ALGEBRA
7 2881 PRIME RING//DERIVATION//GENERALIZED DERIVATION
8 1540 MATHEMATICS//JACOBIAN CONJECTURE//O MINIMAL STRUCTURES
9 1289 ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS//BOUNDARY ELEMENT METHOD//METHOD OF FUNDAMENTAL SOLUTIONS
10 1267 COMMUNICATIONS IN ALGEBRA//MATHEMATICS//PRUFER DOMAIN

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