Class information for:
Level 1: POSITIVSTELLENSATZ//POSITIVE POLYNOMIALS//MOMENT MATRIX EXTENSION

Basic class information
ID Publications Average number
of references		 Avg. shr. active
ref. in WoS
13945 739 19.8 40%


Bar chart of Publication_year

Last years might be incomplete

Classes in level above (level 2)


ID, lev.
above		 Publications Label for level above
819 11284 COMPOSITION OPERATOR//INTEGRAL EQUATIONS AND OPERATOR THEORY//BERGMAN SPACE

Terms with highest relevance score


Rank Term Type of term Relevance score
(tfidf)		 Class's shr.
of term's tot.
occurrences		 Shr. of publ.
in class containing
term		 Num. of
publ. in
class
1 POSITIVSTELLENSATZ Author keyword 41 81% 3% 25
2 POSITIVE POLYNOMIALS Author keyword 27 58% 4% 31
3 MOMENT MATRIX EXTENSION Author keyword 24 91% 1% 10
4 REAL ALGEBRAIC GEOMETRY Author keyword 19 48% 4% 30
5 DETERMINANTAL REPRESENTATIONS Author keyword 18 89% 1% 8
6 FREE POSITIVITY Author keyword 18 89% 1% 8
7 RIESZ FUNCTIONAL Author keyword 18 89% 1% 8
8 SPECTRAHEDRA Author keyword 17 100% 1% 8
9 TRUNCATED COMPLEX MOMENT PROBLEM Author keyword 17 100% 1% 8
10 SUMS OF SQUARES Author keyword 16 34% 5% 37

Web of Science journal categories

Author Key Words


Rank Web of Science journal category Relevance score
(tfidf)		 Class's shr.
of term's tot.
occurrences		 Shr. of publ.
in class containing
term		 Num. of
publ. in
class		 LCSH search Wikipedia search
1 POSITIVSTELLENSATZ 41 81% 3% 25 Search POSITIVSTELLENSATZ Search POSITIVSTELLENSATZ
2 POSITIVE POLYNOMIALS 27 58% 4% 31 Search POSITIVE+POLYNOMIALS Search POSITIVE+POLYNOMIALS
3 MOMENT MATRIX EXTENSION 24 91% 1% 10 Search MOMENT+MATRIX+EXTENSION Search MOMENT+MATRIX+EXTENSION
4 REAL ALGEBRAIC GEOMETRY 19 48% 4% 30 Search REAL+ALGEBRAIC+GEOMETRY Search REAL+ALGEBRAIC+GEOMETRY
5 DETERMINANTAL REPRESENTATIONS 18 89% 1% 8 Search DETERMINANTAL+REPRESENTATIONS Search DETERMINANTAL+REPRESENTATIONS
6 FREE POSITIVITY 18 89% 1% 8 Search FREE+POSITIVITY Search FREE+POSITIVITY
7 RIESZ FUNCTIONAL 18 89% 1% 8 Search RIESZ+FUNCTIONAL Search RIESZ+FUNCTIONAL
8 SPECTRAHEDRA 17 100% 1% 8 Search SPECTRAHEDRA Search SPECTRAHEDRA
9 TRUNCATED COMPLEX MOMENT PROBLEM 17 100% 1% 8 Search TRUNCATED+COMPLEX+MOMENT+PROBLEM Search TRUNCATED+COMPLEX+MOMENT+PROBLEM
10 SUMS OF SQUARES 16 34% 5% 37 Search SUMS+OF+SQUARES Search SUMS+OF+SQUARES

Key Words Plus


Rank Web of Science journal category Relevance score
(tfidf)		 Class's shr.
of term's tot.
occurrences		 Shr. of publ.
in class containing
term		 Num. of
publ. in
class
1 SEMI ALGEBRAIC SETS 89 63% 12% 90
2 POSITIVE POLYNOMIALS 45 65% 6% 43
3 MULTIDIMENSIONAL MOMENT PROBLEM 26 87% 2% 13
4 POSITIVSTELLENSATZ 24 67% 3% 22
5 TCHAKALOFFS THEOREM 23 100% 1% 10
6 HERMITIAN SQUARES 15 82% 1% 9
7 STRICT POSITIVSTELLENSATZ 14 100% 1% 7
8 HILBERTS 17TH PROBLEM 11 100% 1% 6
9 MOUSSA VILLANI CONJECTURE 11 100% 1% 6
10 MOMENT PROBLEM 10 25% 5% 36

Journals

Reviews


Title Publ. year Cit. Active
references		 % act. ref.
to same field
Polynomial sum of squares in fluid dynamics: a review with a look ahead 2014 2 17 35%
Positive definite functions on infinite-dimensional convex cones 2003 0 32 66%
Exploiting special structure in semidefinite programming: A survey of theory and applications 2010 10 26 8%

Address terms


Rank Address term Relevance score
(tfidf)		 Class's shr.
of term's tot.
occurrences		 Shr. of publ.
in class containing
term		 Num. of
publ. in
class
1 UPORABNO MATEMAT 11 100% 0.8% 6
2 FAK NARAVOSLOVJE MATEMAT 9 59% 1.4% 10
3 HBEREICH MATH STAT 8 21% 4.7% 35
4 MATH EECS 6 80% 0.5% 4
5 URA D 751 3 100% 0.4% 3
6 FAK MATEMAT FIZ 3 30% 1.1% 8
7 ODDELEK MATEMAT MATEMAT 2 67% 0.3% 2
8 URA D751 2 50% 0.4% 3
9 URA 305 1 21% 0.7% 5
10 FAK ELEKTROTEHN 1 21% 0.5% 4

Related classes at same level (level 1)


Rank Relatedness score Related classes
1 0.0000202976 SPACES OF ORDERINGS//ORDERINGS OF HIGHER LEVEL//SPECIAL GROUPS
2 0.0000158159 COMPLETELY POSITIVE MATRICES//COPOSITIVE PROGRAMMING//MAX CUT PROBLEM
3 0.0000148090 K HYPONORMAL//SUBNORMAL PAIRS//HYPONORMAL
4 0.0000138248 LEBESGUE TYPE DECOMPOSITION//WEIGHTED SHIFT ON A DIRECTED TREE//ALMOST DOMINATED PART
5 0.0000131453 ALMOST GLOBAL STABILITY//ALMOST EVERYWHERE STABILITY//ZUBOVS METHOD
6 0.0000129637 ENTHALPY DISTRIBUTION//FRACTIONAL MOMENTS//HAUSDORFF MOMENT PROBLEM
7 0.0000104463 DE FINETTI THEOREM//DEFINETTI THEOREM//KOLMOGOROV FELLER WEAK LAW OF LARGE NUMBERS
8 0.0000102848 LINEAR PARAMETER VARYING SYSTEMS//PARAMETER DEPENDENT LYAPUNOV FUNCTIONS//PENDULUM LIKE SYSTEMS
9 0.0000077392 MULTIVARIABLE OPERATOR THEORY//ROW CONTRACTION//M ISOMETRY
10 0.0000074649 INTERIOR POINT METHODS//POLYNOMIAL COMPLEXITY//ANALYTIC CENTER