Class information for:
Level 1: SYNTHETIC DIFFERENTIAL GEOMETRY//C INFINITY RING//GLOBAL EQUIVALENCE

Basic class information

Class id #P Avg. number of
references
Database coverage
of references
32093 144 16.8 19%



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
18 4 THERMODYNAMICS//ENERGY & FUELS//ENGINEERING, CHEMICAL 531182
579 3       BOLTZMANN EQUATION//JOURNAL OF NON-EQUILIBRIUM THERMODYNAMICS//MAGNETOGASDYNAMICS 16197
3488 2             DAISYWORLD//MAXIMUM ENTROPY PRODUCTION//NATURAL PROCESS 1454
32093 1                   SYNTHETIC DIFFERENTIAL GEOMETRY//C INFINITY RING//GLOBAL EQUIVALENCE 144

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 SYNTHETIC DIFFERENTIAL GEOMETRY authKW 1321244 6% 69% 9
2 C INFINITY RING authKW 424105 1% 100% 2
3 GLOBAL EQUIVALENCE authKW 282735 1% 67% 2
4 CATEGORICAL LOGICS authKW 212052 1% 100% 1
5 CONTINUUM THERMODYNAMICS ENTROPY EQUIVALENT RESPONSE FUNCTIONALS authKW 212052 1% 100% 1
6 CUBICAL COMBINATORIAL FORM authKW 212052 1% 100% 1
7 EXISTENCE OF INTERNAL ENERGY AND ENTROPY authKW 212052 1% 100% 1
8 GEOMETRIC THEORY OF NONLINEAR PARTIAL DIFFERENTIAL EQUATIONS authKW 212052 1% 100% 1
9 HEAT CONDUCTING RIGID BODIES authKW 212052 1% 100% 1
10 HEAT OF MASS TRANSFER authKW 212052 1% 100% 1

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 1632 42% 0% 61
2 Mathematics 1561 45% 0% 65
3 Mechanics 765 26% 0% 37
4 Physics, Multidisciplinary 177 17% 0% 25
5 Logic 124 2% 0% 3
6 Thermodynamics 18 3% 0% 5
7 Philosophy 8 1% 0% 2
8 Mathematics, Interdisciplinary Applications 7 2% 0% 3
9 History & Philosophy of Science 4 1% 0% 1
10 Engineering, General 2 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 DTO MATEMAT 35338 1% 8% 2
2 DIPARTIMENTO METODI MODELLI MATEMAT SCI PL 5299 1% 3% 1
3 DIPARTIMENTO METODI MODELLI MATEMAT SCI PLICA 4437 1% 1% 2
4 ELIE CARTAN NANCY 1513 1% 1% 1
5 DIPARTIMENTO INGN CIVILE 1128 1% 0% 2
6 UMR 7501 1097 1% 1% 1
7 DSI 1064 1% 1% 1
8 DICEA 1013 1% 0% 1
9 UMR 7539 846 1% 0% 1
10 DIPARTIMENTO METODI MODELLI MATEMAT 786 1% 0% 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 ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS 44049 16% 1% 23
2 JOURNAL OF PURE AND APPLIED ALGEBRA 7128 10% 0% 14
3 INTERNATIONAL JOURNAL OF THEORETICAL PHYSICS 5492 10% 0% 14
4 CONTINUUM MECHANICS AND THERMODYNAMICS 2221 2% 0% 3
5 QUARTERLY OF APPLIED MATHEMATICS 2094 3% 0% 4
6 JOURNAL OF INTEGRAL EQUATIONS 1592 1% 1% 1
7 CZECHOSLOVAK JOURNAL OF PHYSICS 1532 5% 0% 7
8 LECTURE NOTES IN MATHEMATICS 1060 4% 0% 6
9 JOURNAL OF NON-EQUILIBRIUM THERMODYNAMICS 1005 1% 0% 2
10 MATHEMATICS AND MECHANICS OF SOLIDS 996 1% 0% 2

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 SYNTHETIC DIFFERENTIAL GEOMETRY 1321244 6% 69% 9 Search SYNTHETIC+DIFFERENTIAL+GEOMETRY Search SYNTHETIC+DIFFERENTIAL+GEOMETRY
2 C INFINITY RING 424105 1% 100% 2 Search C+INFINITY+RING Search C+INFINITY+RING
3 GLOBAL EQUIVALENCE 282735 1% 67% 2 Search GLOBAL+EQUIVALENCE Search GLOBAL+EQUIVALENCE
4 CATEGORICAL LOGICS 212052 1% 100% 1 Search CATEGORICAL+LOGICS Search CATEGORICAL+LOGICS
5 CONTINUUM THERMODYNAMICS ENTROPY EQUIVALENT RESPONSE FUNCTIONALS 212052 1% 100% 1 Search CONTINUUM+THERMODYNAMICS+ENTROPY+EQUIVALENT+RESPONSE+FUNCTIONALS Search CONTINUUM+THERMODYNAMICS+ENTROPY+EQUIVALENT+RESPONSE+FUNCTIONALS
6 CUBICAL COMBINATORIAL FORM 212052 1% 100% 1 Search CUBICAL+COMBINATORIAL+FORM Search CUBICAL+COMBINATORIAL+FORM
7 EXISTENCE OF INTERNAL ENERGY AND ENTROPY 212052 1% 100% 1 Search EXISTENCE+OF+INTERNAL+ENERGY+AND+ENTROPY Search EXISTENCE+OF+INTERNAL+ENERGY+AND+ENTROPY
8 GEOMETRIC THEORY OF NONLINEAR PARTIAL DIFFERENTIAL EQUATIONS 212052 1% 100% 1 Search GEOMETRIC+THEORY+OF+NONLINEAR+PARTIAL+DIFFERENTIAL+EQUATIONS Search GEOMETRIC+THEORY+OF+NONLINEAR+PARTIAL+DIFFERENTIAL+EQUATIONS
9 HEAT CONDUCTING RIGID BODIES 212052 1% 100% 1 Search HEAT+CONDUCTING+RIGID+BODIES Search HEAT+CONDUCTING+RIGID+BODIES
10 HEAT OF MASS TRANSFER 212052 1% 100% 1 Search HEAT+OF+MASS+TRANSFER Search HEAT+OF+MASS+TRANSFER

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 CARCHEDI, D , ROYTENBERG, D , (2013) ON THEORIES OF SUPERALGEBRAS OF DIFFERENTIABLE FUNCTIONS.THEORY AND APPLICATIONS OF CATEGORIES. VOL. 28. ISSUE . P. 1022-1098 6 75% 3
2 PRADAS, MM , (1994) ON BARICENTERS OF HEATING MEASURES AND THERMODYNAMICAL INEQUALITIES.ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS. VOL. 125. ISSUE 4. P. 311-340 8 100% 0
3 MAN, CS , (1989) THERMODYNAMICS BASED ON A WORK INEQUALITY.ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS. VOL. 106. ISSUE 1. P. 1-61 9 100% 8
4 GONZALEZ, JAN , DE SALAS, JBS , (2003) C-INFINITY-DIFFERENTIABLE SPACES.C(INFINITY) DIFFERENTIABLE SPACES. VOL. 1824. ISSUE . P. 1-+ 5 100% 4
5 PRADAS, MM , PEDREGAL, P , (1996) THE FUNDAMENTAL PROPERTY OF A PERFECT GAS AND THE SECOND LAW OF THERMODYNAMICS.ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS. VOL. 136. ISSUE 4. P. 383-408 6 100% 1
6 PRADAS, MM , PEDREGAL, P , (1996) THE FUNDAMENTAL PROPERTY OF A PERFECT GAS AND THE SECOND LAW OF THERMODYNAMICS.ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS. VOL. 135. ISSUE 4. P. 383-408 6 100% 0
7 NISHIMURA, H , (2001) SYNTHETIC DIFFERENTIAL GEOMETRY OF JET BUNDLES.BULLETIN OF THE BELGIAN MATHEMATICAL SOCIETY-SIMON STEVIN. VOL. 8. ISSUE 4. P. 639-650 4 100% 1
8 KOCK, A , (2011) AFFINE CONNECTIONS, MIDPOINT FORMATION, AND POINT REFLECTION.THEORETICAL COMPUTER SCIENCE. VOL. 412. ISSUE 36. P. 4770-4777 3 100% 0
9 SILHAVY, M , (1989) MASS, INTERNAL ENERGY, AND CAUCHYS EQUATIONS IN FRAME-INDIFFERENT THERMODYNAMICS.ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS. VOL. 107. ISSUE 1. P. 1-22 6 100% 10
10 NISHIMURA, H , (1999) DIFFERENTIAL FORMS IN SYNTHETIC DIFFERENTIAL SUPERGEOMETRY.INTERNATIONAL JOURNAL OF THEORETICAL PHYSICS. VOL. 38. ISSUE 2. P. 653-663 4 100% 0

Classes with closest relation at Level 1



Rank Class id link
1 21408 SUPERMANIFOLDS//LIE SUPERGROUP//ALGEBRAIC SUPERGROUPS
2 15315 CONFIGURATIONAL FORCES//MATERIAL FORCES//CONFIGURATIONAL MECHANICS
3 23844 SUBNORMS//CONVENIENT SETTING//SUBMODULI
4 28038 CORNER FLOW MASS INJECTION//EMPIRICAL ENTROPIES//ENTROPY GENERATION RATES
5 23800 ABSOLUTE NEIGHBORHOOD MULTI RETRACTS//NON CLASSICAL HEAT EQUATION//MOVABLE SPACE
6 36075 B ARY TREE//BELIEF CALCULI TRANSFORMATIONS//CONGEST MANAGEMENT SIGNING UNIT
7 24667 HERMANN MINKOWSKI//CRITICAL PROGRAMME//ELEKTROSTAL BRANCH
8 32272 PHYS DOCTORAL//ROMANIAN REPORTS IN PHYSICS//ACOUSTIC RESONANT FREQUENCIES
9 26778 NATURAL OPERATOR//WEIL BUNDLE//BUNDLE FUNCTOR
10 12316 CONSTRUCTIVE MATHEMATICS//FORMAL TOPOLOGY//CONSTRUCTIVE

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