Class information for:
Level 1: JOURNAL OF SYMBOLIC COMPUTATION//POLYNOMIAL SYSTEM SOLVING//MATEMAT ESTADIST COMPUTAC

Basic class information

Class id #P Avg. number of
references
Database coverage
of references
6132 1525 22.8 31%



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
295 3       CRYPTOGRAPHY//COMPUTER SCIENCE, THEORY & METHODS//IEEE TRANSACTIONS ON INFORMATION THEORY 41419
1707 2             JOURNAL OF SYMBOLIC COMPUTATION//SCALAR MULTIPLICATION//FINITE FIELDS 6697
6132 1                   JOURNAL OF SYMBOLIC COMPUTATION//POLYNOMIAL SYSTEM SOLVING//MATEMAT ESTADIST COMPUTAC 1525

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 JOURNAL OF SYMBOLIC COMPUTATION journal 979385 22% 15% 332
2 POLYNOMIAL SYSTEM SOLVING authKW 282034 1% 78% 18
3 MATEMAT ESTADIST COMPUTAC address 188207 3% 20% 48
4 SUBRESULTANTS authKW 180187 1% 75% 12
5 SEMI ALGEBRAIC SETS authKW 150839 1% 42% 18
6 QUANTIFIER ELIMINATION authKW 150271 2% 24% 31
7 JOURNAL OF COMPLEXITY journal 144057 5% 9% 76
8 BLUM SHUB SMALE MODEL authKW 142373 1% 89% 8
9 CONDITION METRIC authKW 142373 1% 89% 8
10 ALGEBRAIC COMPLEXITY authKW 142357 1% 44% 16

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 Computer Science, Theory & Methods 61998 55% 0% 842
2 Mathematics, Applied 27641 53% 0% 811
3 Mathematics 6205 28% 0% 432
4 Logic 2106 3% 0% 40
5 Computer Science, Software Engineering 1820 8% 0% 128
6 Computer Science, Interdisciplinary Applications 799 7% 0% 103
7 Computer Science, Artificial Intelligence 460 5% 0% 78
8 Computer Science, Information Systems 223 4% 0% 57
9 Computer Science, Hardware & Architecture 146 2% 0% 31
10 Mathematics, Interdisciplinary Applications 60 2% 0% 29

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 MATEMAT ESTADIST COMPUTAC 188207 3% 20% 48
2 INFORMAT TECHNOL CORE S 100107 0% 100% 5
3 GAGE 71238 1% 32% 11
4 DESARROLLO HUMANO 71163 1% 22% 16
5 KLMM 68981 1% 19% 18
6 UMS MEDICIS 60064 0% 100% 3
7 DATABASE THEORET COMP SCI GRP 50049 0% 50% 5
8 CHENGDU COMP PLICAT 48424 1% 17% 14
9 SALSA PROJECT 45760 0% 57% 4
10 O MATEMAT ESTADIST COMP 40043 0% 100% 2

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 JOURNAL OF SYMBOLIC COMPUTATION 979385 22% 15% 332
2 JOURNAL OF COMPLEXITY 144057 5% 9% 76
3 FOUNDATIONS OF COMPUTATIONAL MATHEMATICS 77418 3% 10% 39
4 APPLICABLE ALGEBRA IN ENGINEERING COMMUNICATION AND COMPUTING 72776 3% 8% 47
5 COMPUTATIONAL COMPLEXITY 21867 1% 6% 19
6 JOURNAL OF AUTOMATED REASONING 12537 1% 3% 21
7 LECTURE NOTES IN COMPUTER SCIENCE 7192 12% 0% 181
8 JOURNAL OF PURE AND APPLIED ALGEBRA 6587 3% 1% 44
9 THEORETICAL COMPUTER SCIENCE 5775 4% 1% 56
10 MATHEMATICS AND COMPUTERS IN SIMULATION 5660 2% 1% 32

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 POLYNOMIAL SYSTEM SOLVING 282034 1% 78% 18 Search POLYNOMIAL+SYSTEM+SOLVING Search POLYNOMIAL+SYSTEM+SOLVING
2 SUBRESULTANTS 180187 1% 75% 12 Search SUBRESULTANTS Search SUBRESULTANTS
3 SEMI ALGEBRAIC SETS 150839 1% 42% 18 Search SEMI+ALGEBRAIC+SETS Search SEMI+ALGEBRAIC+SETS
4 QUANTIFIER ELIMINATION 150271 2% 24% 31 Search QUANTIFIER+ELIMINATION Search QUANTIFIER+ELIMINATION
5 BLUM SHUB SMALE MODEL 142373 1% 89% 8 Search BLUM+SHUB+SMALE+MODEL Search BLUM+SHUB+SMALE+MODEL
6 CONDITION METRIC 142373 1% 89% 8 Search CONDITION+METRIC Search CONDITION+METRIC
7 ALGEBRAIC COMPLEXITY 142357 1% 44% 16 Search ALGEBRAIC+COMPLEXITY Search ALGEBRAIC+COMPLEXITY
8 POLYNOMIAL EQUATION SOLVING 140150 0% 100% 7 Search POLYNOMIAL+EQUATION+SOLVING Search POLYNOMIAL+EQUATION+SOLVING
9 APPROXIMATE ZERO 124744 1% 69% 9 Search APPROXIMATE+ZERO Search APPROXIMATE+ZERO
10 EFFECTIVE NULLSTELLENSATZ 122630 0% 88% 7 Search EFFECTIVE+NULLSTELLENSATZ Search EFFECTIVE+NULLSTELLENSATZ

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 CASTRO, D , GIUSTI, M , HEINTZ, J , MATERA, G , PARDO, LM , (2003) THE HARDNESS OF POLYNOMIAL EQUATION SOLVING.FOUNDATIONS OF COMPUTATIONAL MATHEMATICS. VOL. 3. ISSUE 4. P. 347-420 37 97% 24
2 BANK, B , GIUSTI, M , HEINTZ, J , LEHMANN, L , PARDO, LM , (2012) ALGORITHMS OF INTRINSIC COMPLEXITY FOR POINT SEARCHING IN COMPACT REAL SINGULAR HYPERSURFACES.FOUNDATIONS OF COMPUTATIONAL MATHEMATICS. VOL. 12. ISSUE 1. P. 75 -122 29 94% 1
3 DURVYE, C , LECERF, G , (2008) A CONCISE PROOF OF THE KRONECKER POLYNOMIAL SYSTEM SOLVER FROM SCRATCH.EXPOSITIONES MATHEMATICAE. VOL. 26. ISSUE 2. P. 101-139 29 85% 11
4 HONG, H , TANG, X , XIA, B , (2015) SPECIAL ALGORITHM FOR STABILITY ANALYSIS OF MULTISTABLE BIOLOGICAL REGULATORY SYSTEMS.JOURNAL OF SYMBOLIC COMPUTATION. VOL. 70. ISSUE . P. 112 -135 25 83% 0
5 LI, W , YUAN, CM , GAO, XS , (2015) SPARSE DIFFERENTIAL RESULTANT FOR LAURENT DIFFERENTIAL POLYNOMIALS.FOUNDATIONS OF COMPUTATIONAL MATHEMATICS. VOL. 15. ISSUE 2. P. 451 -517 23 88% 1
6 BANK, B , GIUSTI, M , HEINTZ, J , (2014) POINT SEARCHING IN REAL SINGULAR COMPLETE INTERSECTION VARIETIES: ALGORITHMS OF INTRINSIC COMPLEXITY.MATHEMATICS OF COMPUTATION. VOL. 83. ISSUE 286. P. 873 -897 23 92% 0
7 JERONIMO, G , KRICK, T , SABIA, J , SOMBRA, M , (2004) THE COMPUTATIONAL COMPLEXITY OF THE CHOW FORM.FOUNDATIONS OF COMPUTATIONAL MATHEMATICS. VOL. 4. ISSUE 1. P. 41-117 24 96% 23
8 DRATMAN, E , MATERA, G , WAISSBEIN, A , (2009) ROBUST ALGORITHMS FOR GENERALIZED PHAM SYSTEMS.COMPUTATIONAL COMPLEXITY. VOL. 18. ISSUE 1. P. 105 -154 24 83% 0
9 JERONIMO, G , PERRUCCI, D , SABIA, J , (2010) ON SIGN CONDITIONS OVER REAL MULTIVARIATE POLYNOMIALS.DISCRETE & COMPUTATIONAL GEOMETRY. VOL. 44. ISSUE 1. P. 195 -222 21 91% 1
10 MOROZ, G , (2011) PROPERNESS DEFECTS OF PROJECTION AND MINIMAL DISCRIMINANT VARIETY.JOURNAL OF SYMBOLIC COMPUTATION. VOL. 46. ISSUE 10. P. 1139-1157 19 95% 0

Classes with closest relation at Level 1



Rank Class id link
1 21991 MULTIVARIATE PUBLIC KEY CRYPTOSYSTEM//MULTIVARIATE CRYPTOGRAPHY//SFLASH
2 17322 NUMERICAL ALGEBRAIC GEOMETRY//POLYNOMIAL SYSTEMS//HOMOTOPY CONTINUATION
3 34995 FLOOR OPERATION//MAX PROBLEM//PARITY TESTS
4 15644 POLYNOMIAL FACTORIZATION//POLYNOMIAL IDENTITY TESTING//COMBINATORICS ON POLYNOMIALS
5 37464 ERDOS MORDELL INEQUALITY//FUNDAMENTAL TRIANGLE INEQUALITY//EULERS INEQUALITY
6 30050 RESIDUE CURRENT//COLEFF HERRERA CURRENT//KOPPELMAN LERAY NORGUET FORMULA
7 16500 SIMULTANEOUS METHODS//POLYNOMIAL ZEROS//INCLUSION METHODS
8 27012 TRIANGLE COUNTING//TRIANGLE LISTING//QUADRATIC ALGORITHMS
9 21638 IDEAL PROJECTOR//KERGIN INTERPOLATION//RADON PROJECTIONS
10 5398 COMPUTER AIDED GEOMETRIC DESIGN//PYTHAGOREAN HODOGRAPH CURVES//DEGREE REDUCTION

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