Class information for:
Level 1: CONDENSER CAPACITY//CIRCULAR SYMMETRIZATION//LOGARITHMIC CAPACITY

Basic class information

Class id #P Avg. number of
references
Database coverage
of references
29291 189 16.1 18%



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
664 3       MEROMORPHIC FUNCTION//UNIVALENT FUNCTIONS//ANALYTIC FUNCTIONS 10322
2311 2             UNIVALENT FUNCTIONS//ANALYTIC FUNCTIONS//STARLIKE FUNCTIONS 4496
29291 1                   CONDENSER CAPACITY//CIRCULAR SYMMETRIZATION//LOGARITHMIC CAPACITY 189

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 CONDENSER CAPACITY authKW 1242789 5% 77% 10
2 CIRCULAR SYMMETRIZATION authKW 504881 3% 63% 5
3 LOGARITHMIC CAPACITY authKW 438946 6% 23% 12
4 LINDELOF PRINCIPLE authKW 369284 2% 57% 4
5 ROBIN CAPACITY authKW 363516 2% 75% 3
6 BRANNANS CONJECTURE authKW 323126 1% 100% 2
7 GOOD PARTITION authKW 323126 1% 100% 2
8 MINIMAL AREA PROBLEM authKW 323126 1% 100% 2
9 OMITTED AREA PROBLEM authKW 323126 1% 100% 2
10 SEPARATING POWER authKW 323126 1% 100% 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 7865 87% 0% 164
2 Mathematics, Applied 670 24% 0% 46
3 Multidisciplinary Sciences 38 3% 0% 5
4 Cell & Tissue Engineering 4 1% 0% 1
5 Metallurgy & Metallurgical Engineering -0 1% 0% 2
6 Statistics & Probability -0 1% 0% 1
7 Mechanics -0 1% 0% 2
8 Computer Science, Artificial Intelligence -0 1% 0% 1
9 Computer Science, Theory & Methods -0 1% 0% 1
10 Physics, Mathematical -0 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 MATH CB 3250 161563 1% 100% 1
2 UMR 7083 CNRS 80781 1% 50% 1
3 THEORIE MICROFLUID 53853 1% 33% 1
4 STRUCT SOLID MECH PROGRAM 19580 1% 6% 2
5 STEKLOV MATH ST PETERSBURG 16155 1% 10% 1
6 FAR EASTERN BRANCH 3033 4% 0% 7
7 PL MATH 1318 10% 0% 18
8 MATH 765 24% 0% 46
9 TROPHOBLAST 674 1% 0% 1
10 HBEREICH MATH INFORMAT 630 1% 0% 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 D ANALYSE MATHEMATIQUE 16630 6% 1% 11
2 ANNALES ACADEMIAE SCIENTIARUM FENNICAE-MATHEMATICA 14871 5% 1% 10
3 ANNALES ACADEMIAE SCIENTIARUM FENNICAE SERIES A1-MATHEMATICA 9098 1% 3% 2
4 SIBERIAN MATHEMATICAL JOURNAL 9042 7% 0% 13
5 COMPLEX VARIABLES AND ELLIPTIC EQUATIONS 6736 3% 1% 6
6 MATHEMATICAL NOTES 4659 6% 0% 12
7 COMPUTATIONAL METHODS AND FUNCTION THEORY 4037 1% 3% 1
8 GEORGIAN MATHEMATICAL JOURNAL 3094 2% 1% 3
9 IZVESTIYA VYSSHIKH UCHEBNYKH ZAVEDENII MATEMATIKA 3023 2% 0% 4
10 INDIANA UNIVERSITY MATHEMATICS JOURNAL 2436 3% 0% 6

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 CONDENSER CAPACITY 1242789 5% 77% 10 Search CONDENSER+CAPACITY Search CONDENSER+CAPACITY
2 CIRCULAR SYMMETRIZATION 504881 3% 63% 5 Search CIRCULAR+SYMMETRIZATION Search CIRCULAR+SYMMETRIZATION
3 LOGARITHMIC CAPACITY 438946 6% 23% 12 Search LOGARITHMIC+CAPACITY Search LOGARITHMIC+CAPACITY
4 LINDELOF PRINCIPLE 369284 2% 57% 4 Search LINDELOF+PRINCIPLE Search LINDELOF+PRINCIPLE
5 ROBIN CAPACITY 363516 2% 75% 3 Search ROBIN+CAPACITY Search ROBIN+CAPACITY
6 BRANNANS CONJECTURE 323126 1% 100% 2 Search BRANNANS+CONJECTURE Search BRANNANS+CONJECTURE
7 GOOD PARTITION 323126 1% 100% 2 Search GOOD+PARTITION Search GOOD+PARTITION
8 MINIMAL AREA PROBLEM 323126 1% 100% 2 Search MINIMAL+AREA+PROBLEM Search MINIMAL+AREA+PROBLEM
9 OMITTED AREA PROBLEM 323126 1% 100% 2 Search OMITTED+AREA+PROBLEM Search OMITTED+AREA+PROBLEM
10 SEPARATING POWER 323126 1% 100% 2 Search SEPARATING+POWER Search SEPARATING+POWER

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 BARNARD, RW , PEARCE, K , SOLYNIN, AY , (2012) ICEBERG-TYPE PROBLEMS: ESTIMATING HIDDEN PARTS OF A CONTINUUM FROM THE VISIBLE PARTS.MATHEMATISCHE NACHRICHTEN. VOL. 285. ISSUE 17-18. P. 2042-2058 9 100% 0
2 AZEROGLU, TA , GOLBERG, A , DE CRISTOFORIS, ML , PLAKSA, S , (2014) PROMARZ M. TAMRAZOV: MATHEMATICAL IDEAS AND RESULTS.COMPLEX VARIABLES AND ELLIPTIC EQUATIONS. VOL. 59. ISSUE 1. P. 1-17 7 100% 0
3 DUBININ, VN , (2015) CIRCULAR SYMMETRIZATION OF CONDENSERS ON RIEMANN SURFACES.SBORNIK MATHEMATICS. VOL. 206. ISSUE 1. P. 61 -86 8 73% 0
4 AHARONOV, D , SHAPIRO, HS , SOLYNIN, AY , (2006) MINIMAL AREA PROBLEMS FOR FUNCTIONS WITH INTEGRAL REPRESENTATION.JOURNAL D ANALYSE MATHEMATIQUE. VOL. 98. ISSUE . P. 83-111 7 100% 0
5 CLEANTHOUS, G , (2016) A GEOMETRIC EXTENSION OF SCHWARZ'S LEMMA AND APPLICATIONS.CANADIAN MATHEMATICAL BULLETIN-BULLETIN CANADIEN DE MATHEMATIQUES. VOL. 59. ISSUE 1. P. 30 -35 5 100% 0
6 CLEANTHOUS, G , GEORGIADIS, AG , (2015) MULTI-POINT BOUNDS FOR ANALYTIC FUNCTIONS UNDER MEASURE CONDITIONS.COMPLEX VARIABLES AND ELLIPTIC EQUATIONS. VOL. 60. ISSUE 4. P. 470 -477 5 100% 0
7 BETSAKOS, D , (2013) HOLOMORPHIC FUNCTIONS WITH IMAGE OF GIVEN LOGARITHMIC OR ELLIPTIC CAPACITY.JOURNAL OF THE AUSTRALIAN MATHEMATICAL SOCIETY. VOL. 94. ISSUE 2. P. 145-157 6 86% 1
8 BARNARD, RW , LOCHMAN, MH , SOLYNIN, AY , (2013) CONVEX ICEBERGS AND SECTORIAL STARLIKE FUNCTIONS.COMPUTATIONAL METHODS AND FUNCTION THEORY. VOL. 13. ISSUE 4. P. 635-682 5 100% 0
9 HINKKANEN, A , (2011) GROWTH CONDITIONS FOR ANALYTIC FUNCTIONS IN UNBOUNDED OPEN SETS.COMPLEX VARIABLES AND ELLIPTIC EQUATIONS. VOL. 56. ISSUE 1-4. P. 59 -80 5 100% 0
10 DUBININ, VN , (1994) SYMMETRIZATION IN THE GEOMETRIC-THEORY OF FUNCTIONS OF A COMPLEX VARIABLE.RUSSIAN MATHEMATICAL SURVEYS. VOL. 49. ISSUE 1. P. 1-79 11 69% 63

Classes with closest relation at Level 1



Rank Class id link
1 16741 SCHWARZIAN DERIVATIVE//CHEBOTAREV//LOGARITHMIC COEFFICIENTS
2 18918 NUMERICAL CONFORMAL MAPPING//GENERALIZED NEUMANN KERNEL//SCHWARZ CHRISTOFFEL TRANSFORMATION
3 23198 BIHOLOMORPHIC MAPPING//STARLIKE MAPPING//LOEWNER CHAIN
4 20218 POLYA SZEGO INEQUALITY//MANIFOLDS WITH DENSITY//STEINER SYMMETRIZATION
5 17152 INEQUALITIES IN THE COMPLEX DOMAIN//MARKOV TYPE INEQUALITY//POLAR DERIVATIVE
6 17783 TEICHMULLER SPACE//ASYMPTOTIC TEICHMULLER SPACE//HAMILTON SEQUENCE
7 13757 UNIVERSAL INEQUALITIES//EIGENVALUE RATIO//LIEB THIRRING INEQUALITIES
8 6534 DOUBLING MEASURE//ANNALES ACADEMIAE SCIENTIARUM FENNICAE-MATHEMATICA//QUASIHYPERBOLIC METRIC
9 24266 DEGENERATE SCALE//DEGENERATE KERNEL//HARBOR RIVER ENGN
10 30731 SMALE WILLIAMS SOLENOID//KOTELNIKOVS RADIOENGN ELECT//COVERING MOVE

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