Class information for:
Level 1: COMPLEX HYPERSPHERE//MAXIMAL BRANCHING PROCESS//PERMUTATION FORMULA

Basic class information
Class id #P Avg. number of
references		 Database coverage
of references
33508 124 13.7 32%


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
94 3       MATHEMATICS//MATHEMATICS, APPLIED//MATH 76582
3300 2             FREE DISCONTINUITY PROBLEMS//RATE INDEPENDENT PROCESSES//QUASISTATIC EVOLUTION 1859
33508 1                   COMPLEX HYPERSPHERE//MAXIMAL BRANCHING PROCESS//PERMUTATION FORMULA 124

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 COMPLEX HYPERSPHERE authKW 738764 2% 100% 3
2 MAXIMAL BRANCHING PROCESS authKW 738764 2% 100% 3
3 PERMUTATION FORMULA authKW 738764 2% 100% 3
4 HIGHER ORDER SINGULAR INTEGRAL authKW 554071 2% 75% 3
5 DUCTILE PARTICLES authKW 492509 2% 100% 2
6 REGULARIZATION PROBLEM authKW 492509 2% 100% 2
7 SINGULARLY PERTURBED VOLTERRA INTEGRO DIFFERENTIAL EQUATIONS authKW 492509 2% 100% 2
8 ASYMPTOTIC BEHAVIOR OF MARKOV CHAINS authKW 246255 1% 100% 1
9 CLASS HOVER CAP LAMBDA1 LAMBDAN LAMBDAINFINITY authKW 246255 1% 100% 1
10 CRACK TRAPPINGS authKW 246255 1% 100% 1

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, Applied 2322 54% 0% 67
2 Mathematics 471 27% 0% 34
3 Mechanics 131 12% 0% 15
4 Remote Sensing 100 4% 0% 5
5 Statistics & Probability 26 4% 0% 5
6 Telecommunications 21 4% 0% 5
7 Geochemistry & Geophysics 18 4% 0% 5
8 Meteorology & Atmospheric Sciences 17 4% 0% 5
9 Materials Science, Composites 12 2% 0% 2
10 Engineering, Electrical & Electronic 5 6% 0% 8

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 MECH SOLIDS 24624 1% 10% 1
2 PL MECH RELIABIL ANAL 6004 1% 2% 1
3 MATH MECH ENGN 5725 1% 2% 1
4 EXCELLENCE ADV MAT 2372 2% 0% 3
5 DIPARTIMENTO INGN MECCAN STRUTTURALE 2237 1% 1% 1
6 ELE OMAGNET 1395 2% 0% 3
7 MICROENGN 887 1% 0% 1
8 POLYMER MECH 868 1% 0% 1
9 ETS INGENIEROS IND 589 1% 0% 1
10 MATH SCI COMP TECHNOL 577 1% 0% 1

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 SIAM JOURNAL ON APPLIED MATHEMATICS 25805 15% 1% 19
2 QUARTERLY OF APPLIED MATHEMATICS 3804 4% 0% 5
3 ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK 2393 4% 0% 5
4 PUBLICATIONS OF THE RESEARCH INSTITUTE FOR MATHEMATICAL SCIENCES 1764 2% 0% 3
5 ACTA MATHEMATICA SCIENTIA 1554 3% 0% 4
6 IEE PROCEEDINGS-SCIENCE MEASUREMENT AND TECHNOLOGY 1383 2% 0% 2
7 JOURNAL OF INTEGRAL EQUATIONS AND APPLICATIONS 1366 1% 1% 1
8 RADIO SCIENCE 1334 4% 0% 5
9 OSAKA JOURNAL OF MATHEMATICS 1195 2% 0% 3
10 THEORY OF PROBABILITY AND ITS APPLICATIONS 1129 2% 0% 3

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 COMPLEX HYPERSPHERE 738764 2% 100% 3 Search COMPLEX+HYPERSPHERE Search COMPLEX+HYPERSPHERE
2 MAXIMAL BRANCHING PROCESS 738764 2% 100% 3 Search MAXIMAL+BRANCHING+PROCESS Search MAXIMAL+BRANCHING+PROCESS
3 PERMUTATION FORMULA 738764 2% 100% 3 Search PERMUTATION+FORMULA Search PERMUTATION+FORMULA
4 HIGHER ORDER SINGULAR INTEGRAL 554071 2% 75% 3 Search HIGHER+ORDER+SINGULAR+INTEGRAL Search HIGHER+ORDER+SINGULAR+INTEGRAL
5 DUCTILE PARTICLES 492509 2% 100% 2 Search DUCTILE+PARTICLES Search DUCTILE+PARTICLES
6 REGULARIZATION PROBLEM 492509 2% 100% 2 Search REGULARIZATION+PROBLEM Search REGULARIZATION+PROBLEM
7 SINGULARLY PERTURBED VOLTERRA INTEGRO DIFFERENTIAL EQUATIONS 492509 2% 100% 2 Search SINGULARLY+PERTURBED+VOLTERRA+INTEGRO+DIFFERENTIAL+EQUATIONS Search SINGULARLY+PERTURBED+VOLTERRA+INTEGRO+DIFFERENTIAL+EQUATIONS
8 ASYMPTOTIC BEHAVIOR OF MARKOV CHAINS 246255 1% 100% 1 Search ASYMPTOTIC+BEHAVIOR+OF+MARKOV+CHAINS Search ASYMPTOTIC+BEHAVIOR+OF+MARKOV+CHAINS
9 CLASS HOVER CAP LAMBDA1 LAMBDAN LAMBDAINFINITY 246255 1% 100% 1 Search CLASS+HOVER+CAP+LAMBDA1+LAMBDAN+LAMBDAINFINITY Search CLASS+HOVER+CAP+LAMBDA1+LAMBDAN+LAMBDAINFINITY
10 CRACK TRAPPINGS 246255 1% 100% 1 Search CRACK+TRAPPINGS Search CRACK+TRAPPINGS

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 SEVGIN, S , (2014) NUMERICAL SOLUTION OF A SINGULARLY PERTURBED VOLTERRA INTEGRO-DIFFERENTIAL EQUATION.ADVANCES IN DIFFERENCE EQUATIONS. VOL. . ISSUE . P. - 13 81% 0
2 SHUBIN, C , (2006) SINGULARLY PERTURBED INTEGRAL EQUATIONS.JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS. VOL. 313. ISSUE 1. P. 234-250 7 100% 2
3 SALAMA, AA , BAKR, SA , (2007) DIFFERENCE SCHEMES OF EXPONENTIAL TYPE FOR SINGULARLY PERTURBED VOLTERRA INTEGRO-DIFFERENTIAL PROBLEMS.APPLIED MATHEMATICAL MODELLING. VOL. 31. ISSUE 5. P. 866-879 10 56% 2
4 AMIRALIYEV, GM , SEVGIN, S , (2006) UNIFORM DIFFERENCE METHOD FOR SINGULARLY PERTURBED VOLTERRA INTEGRO-DIFFERENTIAL EQUATIONS.APPLIED MATHEMATICS AND COMPUTATION. VOL. 179. ISSUE 2. P. 731-741 7 78% 3
5 LINDELL, IV , NIKOSKINEN, KI , VILJANEN, A , (1997) ELECTROSTATIC IMAGE METHOD FOR THE ANISOTROPIC HALF SPACE.IEE PROCEEDINGS-SCIENCE MEASUREMENT AND TECHNOLOGY. VOL. 144. ISSUE 4. P. 156-162 7 100% 8
6 BIJURA, AM , (2006) INITIAL-LAYER THEORY AND MODEL EQUATIONS OF VOLTERRA TYPE.IMA JOURNAL OF APPLIED MATHEMATICS. VOL. 71. ISSUE 3. P. 315-331 5 100% 0
7 NI, L , NEMAT-NASSER, S , (2000) SINGULAR PERTURBATION SOLUTIONS OF A CLASS OF SYSTEMS OF SINGULAR INTEGRAL EQUATIONS.SIAM JOURNAL ON APPLIED MATHEMATICS. VOL. 61. ISSUE 4. P. 1219-1236 7 78% 0
8 HORN, W , SHUBIN, CA , (2001) ANALYTIC TREATMENT OF A BRIDGED CRACK PROBLEM.ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND MECHANIK. VOL. 81. ISSUE 5. P. 317 -324 6 86% 2
9 KNESSL, C , KELLER, JB , (1991) ASYMPTOTIC PROPERTIES OF EIGENVALUES OF INTEGRAL-EQUATIONS.SIAM JOURNAL ON APPLIED MATHEMATICS. VOL. 51. ISSUE 1. P. 214-232 8 89% 2
10 RAMM, AG , SHIFRIN, EI , (1995) ASYMPTOTICS OF THE SOLUTIONS TO SINGULARLY PERTURBED MULTIDIMENSIONAL INTEGRAL-EQUATIONS.JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS. VOL. 190. ISSUE 3. P. 667-677 5 100% 2

Classes with closest relation at Level 1


Rank Class id link
1 34216 UNITE RECH PHYS QUANT//UR ES 11 54//QUANTUM PHYS UR ES 54 11
2 29071 DYNAMICAL SYSTEMS METHOD DSM//INTEGRO INTERPOLATION//NUMERICAL DIFFERENTIATION
3 24566 NONPENETRATION CONDITION//DERIVATIVE OF ENERGY FUNCTIONAL//NON PENETRATION
4 27861 WAVE SCATTERING BY SMALL BODIES//MANY BODY SCATTERING PROBLEM//REFRACTION COEFFICIENT
5 5428 VOLTERRA INTEGRAL EQUATION//WEAKLY SINGULAR KERNEL//FREDHOLM INTEGRAL EQUATION
6 6945 SHISHKIN MESH//SINGULAR PERTURBATION//LAYER ADAPTED MESH
7 34168 POWER RADIATION INTEGRALS//CIRCULAR SHAPE ANTENNA//CONFORMAL SLOTTED WAVEGUIDE ANTENNAS
8 23766 TOLERANCE MODELLING//HOMOGENIZED MODEL//PERIODICALLY LAYERED COMPOSITE
9 13996 CAUCHY PRINCIPAL VALUE INTEGRALS//CAUCHY SINGULAR INTEGRAL EQUATION//FINITE PART INTEGRAL
10 13411 DYNAMIC FRACTURE//INTERSONIC CRACK PROPAGATION//SELF SIMILAR FUNCTIONS

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