Class information for:
Level 1: LINEAR POLARIZATION CONSTANTS//POLARIZATION CONSTANT//PRODUCT OF LINEAR FUNCTIONALS

Basic class information
Class id #P Avg. number of
references		 Database coverage
of references
32718 135 12.2 37%


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
15 4 MATHEMATICS//MATHEMATICS, APPLIED//MATH 719832
205 3       MATHEMATICS//JOURNAL OF NUMBER THEORY//ACTA ARITHMETICA 52461
3266 2             MAHLER MEASURE//KAC RICE FORMULA//RANDOM ALGEBRAIC POLYNOMIALS 1935
32718 1                   LINEAR POLARIZATION CONSTANTS//POLARIZATION CONSTANT//PRODUCT OF LINEAR FUNCTIONALS 135

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 LINEAR POLARIZATION CONSTANTS authKW 678568 2% 100% 3
2 POLARIZATION CONSTANT authKW 678568 2% 100% 3
3 PRODUCT OF LINEAR FUNCTIONALS authKW 678568 2% 100% 3
4 BOMBIERIS NORM authKW 452379 1% 100% 2
5 COVERING BY CYLINDERS authKW 452379 1% 100% 2
6 FARTHEST POINT DISTANCE FUNCTION authKW 452379 1% 100% 2
7 PLANK PROBLEMS authKW 452379 1% 100% 2
8 POLYNOMIALS OVER NORMED SPACES authKW 452379 1% 100% 2
9 WENDTS DETERMINANT authKW 452379 1% 100% 2
10 FARTHEST DISTANCE FUNCTION authKW 301584 1% 67% 2

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 4233 76% 0% 102
2 Mathematics, Applied 1158 37% 0% 50
3 Statistics & Probability 225 10% 0% 14
4 Computer Science, Theory & Methods 123 9% 0% 12
5 Computer Science, Artificial Intelligence 0 1% 0% 1
6 Engineering, Electrical & Electronic -2 1% 0% 1

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 PAB 1 39334 1% 9% 2
2 A RENYI MATH 25126 2% 4% 3
3 CONSTRUCT PROXIMAT 15595 1% 3% 2
4 DISCRETE COMPUTAT GEOMETRY 14135 1% 6% 1
5 CS EXACTAS NAT 8780 1% 2% 2
6 RANDOM COMPLEX STRUCT DATA SCI 8375 1% 4% 1
7 EQUIPE ANAL PROBABIL 7294 1% 3% 1
8 TOPOL GEOMETRY 7294 1% 3% 1
9 GEOMETRY 6053 2% 1% 3
10 PL MATH PHYS SCI 4074 2% 1% 3

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 ILLINOIS JOURNAL OF MATHEMATICS 3090 4% 0% 5
2 BULLETIN OF THE LONDON MATHEMATICAL SOCIETY 2850 4% 0% 6
3 DISCRETE & COMPUTATIONAL GEOMETRY 2738 4% 0% 5
4 FOUNDATIONS OF COMPUTATIONAL MATHEMATICS 2298 1% 1% 2
5 JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS 1809 10% 0% 13
6 JOURNAL OF THEORETICAL PROBABILITY 1770 2% 0% 3
7 JOURNAL OF SYMBOLIC COMPUTATION 1599 3% 0% 4
8 JOURNAL OF APPROXIMATION THEORY 1054 3% 0% 4
9 REVUE ROUMAINE DE MATHEMATIQUES PURES ET APPLIQUEES 1045 1% 0% 1
10 MATHEMATIKA 1041 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 LINEAR POLARIZATION CONSTANTS 678568 2% 100% 3 Search LINEAR+POLARIZATION+CONSTANTS Search LINEAR+POLARIZATION+CONSTANTS
2 POLARIZATION CONSTANT 678568 2% 100% 3 Search POLARIZATION+CONSTANT Search POLARIZATION+CONSTANT
3 PRODUCT OF LINEAR FUNCTIONALS 678568 2% 100% 3 Search PRODUCT+OF+LINEAR+FUNCTIONALS Search PRODUCT+OF+LINEAR+FUNCTIONALS
4 BOMBIERIS NORM 452379 1% 100% 2 Search BOMBIERIS+NORM Search BOMBIERIS+NORM
5 COVERING BY CYLINDERS 452379 1% 100% 2 Search COVERING+BY+CYLINDERS Search COVERING+BY+CYLINDERS
6 FARTHEST POINT DISTANCE FUNCTION 452379 1% 100% 2 Search FARTHEST+POINT+DISTANCE+FUNCTION Search FARTHEST+POINT+DISTANCE+FUNCTION
7 PLANK PROBLEMS 452379 1% 100% 2 Search PLANK+PROBLEMS Search PLANK+PROBLEMS
8 POLYNOMIALS OVER NORMED SPACES 452379 1% 100% 2 Search POLYNOMIALS+OVER+NORMED+SPACES Search POLYNOMIALS+OVER+NORMED+SPACES
9 WENDTS DETERMINANT 452379 1% 100% 2 Search WENDTS+DETERMINANT Search WENDTS+DETERMINANT
10 FARTHEST DISTANCE FUNCTION 301584 1% 67% 2 Search FARTHEST+DISTANCE+FUNCTION Search FARTHEST+DISTANCE+FUNCTION

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 PINASCO, D , (2012) LOWER BOUNDS FOR NORMS OF PRODUCTS OF POLYNOMIALS VIA BOMBIERI INEQUALITY.TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY. VOL. 364. ISSUE 8. P. 3993 -4010 24 83% 3
2 PRITSKER, IE , RUSCHEWEYH, S , (2009) INEQUALITIES FOR PRODUCTS OF POLYNOMIALS I.MATHEMATICA SCANDINAVICA. VOL. 104. ISSUE 1. P. 147-160 14 100% 3
3 PRITSKER, IE , RUSCHEWEYH, S , (2009) INEQUALITIES FOR PRODUCTS OF POLYNOMIALS II.AEQUATIONES MATHEMATICAE. VOL. 77. ISSUE 1-2. P. 119-132 13 100% 2
4 LEUNG, YJ , LI, WBV , RAKESH , (2008) THE DTH LINEAR POLARIZATION CONSTANT OF R-D.JOURNAL OF FUNCTIONAL ANALYSIS. VOL. 255. ISSUE 10. P. 2861-2871 11 92% 1
5 PRITSKER, IE , SAFF, EB , WISE, W , (2014) REVERSE TRIANGLE INEQUALITIES FOR RIESZ POTENTIALS AND CONNECTIONS WITH POLARIZATION.JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS. VOL. 410. ISSUE 2. P. 868-881 11 73% 2
6 MUNOZ-FERNANDEZ, CA , SARANTOPOULOS, Y , SEOANE-SEPULVEDA, JB , (2010) THE REAL PLANK PROBLEM AND SOME APPLICATIONS.PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY. VOL. 138. ISSUE 7. P. 2521-2535 11 69% 0
7 FRENKEL, PE , (2008) PFAFFIANS, HAFNIANS AND PRODUCTS OF REAL LINEAR FUNCTIONALS.MATHEMATICAL RESEARCH LETTERS. VOL. 15. ISSUE 2-3. P. 351-358 10 77% 6
8 PRITSKER, IE , (2011) INEQUALITIES FOR SUMS OF GREEN POTENTIALS AND BLASCHKE PRODUCTS.BULLETIN OF THE LONDON MATHEMATICAL SOCIETY. VOL. 43. ISSUE . P. 561 -575 6 100% 1
9 KELLY, BP , (2007) CONCENTRATION AT A RADIUS FOR HARDY CLASS FUNCTIONS.JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS. VOL. 327. ISSUE 2. P. 959-969 6 100% 1
10 AKOPYAN, A , KARASEV, R , (2012) KADETS-TYPE THEOREMS FOR PARTITIONS OF A CONVEX BODY.DISCRETE & COMPUTATIONAL GEOMETRY. VOL. 48. ISSUE 3. P. 766-776 5 100% 2

Classes with closest relation at Level 1


Rank Class id link
1 10686 ABSOLUTELY SUMMING OPERATORS//BOHNENBLUST HILLE INEQUALITY//MULTILINEAR MAPPINGS
2 16946 MAHLER MEASURE//SALEM NUMBERS//EXPLICIT AUXILIARY FUNCTION
3 31517 GENERALIZED ROUNDNESS//QUASIHYPERMETRIC SPACE//SIGNED MEASURE OF MASS ZERO
4 35085 INTEGER VALUED ENTIRE FUNCTION//RECURRENT STEP EQUATIONS//ABEL ARITHMETIC FUNCTIONS
5 28890 FBI BARGMANN TRANSFORM//COMPLEX PERTURBATION//INFINITE CURVATURE
6 24654 KAC RICE FORMULA//RANDOM ALGEBRAIC POLYNOMIALS//RANDOM POLYNOMIALS
7 23509 TERNARY CYCLOTOMIC POLYNOMIAL//NUMBER FIELD SIEVE//POLYNOMIAL SELECTION
8 13228 HYPERCYCLIC OPERATORS//HYPERCYCLIC VECTORS//HYPERCYCLIC
9 23180 BIEBERBACH POLYNOMIALS//QUASICONFORMAL CURVE//BERGMAN ORTHOGONAL POLYNOMIALS
10 36311 CONVERGENCE WITH RATES//DIRICHLET PROBLEM CONTINUOUS AND DISCRETE//FIRST AND SECOND MODULI OF CONTINUITY

Go to start page