Class information for:
Level 1: NUMERICAL ALGEBRAIC GEOMETRY//POLYNOMIAL SYSTEMS//POLYHEDRAL HOMOTOPY

Basic class information

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
14 4 MATHEMATICS//MATHEMATICS, APPLIED//MATH 912822
585 3       COMPUTER AIDED GEOMETRIC DESIGN//ISOGEOMETRIC ANALYSIS//COMPUTER-AIDED DESIGN 15448
2185 2             ORDER OF CONVERGENCE//SEMILOCAL CONVERGENCE//NONLINEAR EQUATIONS 5241
21718 1                   NUMERICAL ALGEBRAIC GEOMETRY//POLYNOMIAL SYSTEMS//POLYHEDRAL HOMOTOPY 432

Terms with highest relevance score



rank Category termType chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 NUMERICAL ALGEBRAIC GEOMETRY authKW 1348233 7% 60% 31
2 POLYNOMIAL SYSTEMS authKW 1015730 14% 24% 59
3 POLYHEDRAL HOMOTOPY authKW 663222 2% 91% 10
4 C 1 HOMOTOPY authKW 656592 2% 100% 9
5 COMPONENTS OF SOLUTIONS authKW 656592 2% 100% 9
6 HOMOTOPY CONTINUATION authKW 592131 6% 32% 25
7 REGULAR VALUE authKW 397194 2% 78% 7
8 WITNESS SET authKW 375194 1% 86% 6
9 GENERIC POINTS authKW 328287 2% 50% 9
10 SURJECTIVE IMPLICIT FUNCTION THEOREM authKW 303976 1% 83% 5

Web of Science journal categories



chi_square_rank Category chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 Mathematics, Applied 9926 60% 0% 258
2 Computer Science, Theory & Methods 1180 15% 0% 64
3 Mathematics 551 17% 0% 72
4 Engineering, Mechanical 386 10% 0% 45
5 Robotics 253 2% 0% 10
6 Computer Science, Software Engineering 211 6% 0% 24
7 Operations Research & Management Science 36 3% 0% 11
8 Automation & Control Systems 36 2% 0% 10
9 Computer Science, Interdisciplinary Applications 21 3% 0% 11
10 Computer Science, Cybernetics 18 1% 0% 3

Address terms



chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 PL COMPUTAT MATH STAT 91972 4% 8% 16
2 COMPLEX SYST DESIGN 72955 0% 100% 1
3 INSA ENERGET SYST PRO 72955 0% 100% 1
4 KU LEUVEN IMINDS 72955 0% 100% 1
5 LAS CHENGDU 72955 0% 100% 1
6 LESPINSA ROUEN 72955 0% 100% 1
7 P COMPUTAT MATH STAT 72955 0% 100% 1
8 PL COMP MATH STAT 72955 0% 100% 1
9 PL OPTIMIZAT MODELING GRPTOM 72955 0% 100% 1
10 ROBOT OPEN 72955 0% 100% 1

Journals



chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 APPLIED MATHEMATICS AND COMPUTATION 13805 13% 0% 58
2 ACM TRANSACTIONS ON MATHEMATICAL SOFTWARE 11968 3% 1% 14
3 JOURNAL OF SYMBOLIC COMPUTATION 10345 4% 1% 18
4 JOURNAL OF MECHANICAL DESIGN 8852 5% 1% 20
5 SIAM JOURNAL ON NUMERICAL ANALYSIS 7716 5% 1% 21
6 JOURNAL OF MECHANISMS AND ROBOTICS-TRANSACTIONS OF THE ASME 5469 2% 1% 7
7 NUMERISCHE MATHEMATIK 4045 3% 0% 13
8 MATHEMATICS OF COMPUTATION 4029 3% 0% 15
9 MECHANISM AND MACHINE THEORY 2937 3% 0% 12
10 DISCRETE & COMPUTATIONAL GEOMETRY 2194 2% 0% 8

Author Key Words



chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass LCSH search Wikipedia search
1 NUMERICAL ALGEBRAIC GEOMETRY 1348233 7% 60% 31 Search NUMERICAL+ALGEBRAIC+GEOMETRY Search NUMERICAL+ALGEBRAIC+GEOMETRY
2 POLYNOMIAL SYSTEMS 1015730 14% 24% 59 Search POLYNOMIAL+SYSTEMS Search POLYNOMIAL+SYSTEMS
3 POLYHEDRAL HOMOTOPY 663222 2% 91% 10 Search POLYHEDRAL+HOMOTOPY Search POLYHEDRAL+HOMOTOPY
4 C 1 HOMOTOPY 656592 2% 100% 9 Search C+1+HOMOTOPY Search C+1+HOMOTOPY
5 COMPONENTS OF SOLUTIONS 656592 2% 100% 9 Search COMPONENTS+OF+SOLUTIONS Search COMPONENTS+OF+SOLUTIONS
6 HOMOTOPY CONTINUATION 592131 6% 32% 25 Search HOMOTOPY+CONTINUATION Search HOMOTOPY+CONTINUATION
7 REGULAR VALUE 397194 2% 78% 7 Search REGULAR+VALUE Search REGULAR+VALUE
8 WITNESS SET 375194 1% 86% 6 Search WITNESS+SET Search WITNESS+SET
9 GENERIC POINTS 328287 2% 50% 9 Search GENERIC+POINTS Search GENERIC+POINTS
10 SURJECTIVE IMPLICIT FUNCTION THEOREM 303976 1% 83% 5 Search SURJECTIVE+IMPLICIT+FUNCTION+THEOREM Search SURJECTIVE+IMPLICIT+FUNCTION+THEOREM

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.

Classes with closest relation at Level 1



rank cluster_id2 link
1 15841 IMPLICITLY DEFINED CURVE//BIALTERNATE PRODUCT//UNILATERAL DYNAMIC CONTACT
2 6128 JOURNAL OF SYMBOLIC COMPUTATION//GROBNER BASES//POLYNOMIAL SYSTEM SOLVING
3 21556 KERGIN INTERPOLATION//IDEAL PROJECTOR//RADON PROJECTIONS
4 15250 IMPLICITIZATION//MU BASIS//COMPUTER AIDED GEOMETRIC DESIGN
5 8882 MECHANISM AND MACHINE THEORY//ARMAMENTS ENGN TECHNOL//MOTION GENERATION
6 15059 INTERVAL ARITHMETIC//INTERVAL COMPUTATION//INTERVAL ANALYSIS
7 25034 CONDITION NUMBERS//CONDITION METRIC//COMPLEXITY OF LINEAR PROGRAMMING
8 33890 LOCAL MINIMAX METHOD//MULTIPLE SADDLE POINTS//GNGA
9 24786 OVERCONSTRAINED LINKAGES//LINKAGE MOBILITY//BENNETT LINKAGE
10 17963 SIMULTANEOUS METHODS//POLYNOMIAL ZEROS//INCLUSION METHODS

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