Class information for:
Level 1: BODY OF MINIMAL RESISTANCE//NEWTONS PROBLEM//MODIFIED RAYLEIGH CONJECTURE

Basic class information
Class id #P Avg. number of
references		 Database coverage
of references
28574 204 14.3 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
3487 2             OPTIMAL TRANSPORT//OPTIMAL TRANSPORTATION//MONGE KANTOROVICH PROBLEM 1456
28574 1                   BODY OF MINIMAL RESISTANCE//NEWTONS PROBLEM//MODIFIED RAYLEIGH CONJECTURE 204

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 BODY OF MINIMAL RESISTANCE authKW 598734 2% 100% 4
2 NEWTONS PROBLEM authKW 598734 2% 100% 4
3 MODIFIED RAYLEIGH CONJECTURE authKW 449050 1% 100% 3
4 PROBLEMS OF MINIMAL RESISTANCE authKW 449050 1% 100% 3
5 WAVELETON authKW 449050 1% 100% 3
6 WORM PROBLEM authKW 449050 1% 100% 3
7 CONVEXITY CONSTRAINT authKW 342130 2% 57% 4
8 COMPLEX EUCLIDEAN METRIC authKW 299367 1% 100% 2
9 CONVEX COVERS authKW 299367 1% 100% 2
10 INVERSE MAGNUS EFFECT authKW 299367 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 2360 47% 0% 95
2 Mathematics, Applied 1404 33% 0% 68
3 Engineering, Aerospace 822 10% 0% 20
4 Computer Science, Theory & Methods 141 8% 0% 16
5 Physics, Mathematical 137 8% 0% 16
6 Mechanics 40 6% 0% 12
7 Physics, Fluids & Plasmas 29 3% 0% 7
8 Automation & Control Systems 20 2% 0% 5
9 Social Sciences, Mathematical Methods 9 1% 0% 2
10 Computer Science, Information Systems 5 2% 0% 4

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 RD MATH PLICAT 220116 2% 29% 5
2 DIPARTIMENTO MATEMAT LICATA ULISSE DINI 149683 0% 100% 1
3 FAK PREVADZKY EKON DOPRAVY SPOJOV 149683 0% 100% 1
4 KATEDRA KVANTITATIVNYCH METOD HOSPODARSKEJ INFO 149683 0% 100% 1
5 KATEDRA KVANTITATIVNYCH METOD HOSPODARSKEJ INFORM 149683 0% 100% 1
6 MATH DMA 149683 0% 100% 1
7 PORTUGAL INFORMAT TRANSMISS PROBLEMS 149683 0% 100% 1
8 URM 7017 149683 0% 100% 1
9 IPME 79239 1% 18% 3
10 BRAGANCA POLYTECH 74841 0% 50% 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 DISCRETE & COMPUTATIONAL GEOMETRY 8779 5% 1% 11
2 PERIODICA MATHEMATICA HUNGARICA 7361 2% 1% 4
3 AMERICAN MATHEMATICAL MONTHLY 3536 4% 0% 8
4 GEOMETRIAE DEDICATA 3194 4% 0% 8
5 JOURNAL OF CONVEX ANALYSIS 2803 2% 0% 4
6 JOURNAL OF MODERN DYNAMICS 2634 1% 1% 2
7 JOURNAL OF SPACECRAFT AND ROCKETS 2250 4% 0% 8
8 CONTRIBUTIONS TO DISCRETE MATHEMATICS 1968 0% 1% 1
9 NONLINEARITY 1650 3% 0% 6
10 CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS 1496 2% 0% 4

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 BODY OF MINIMAL RESISTANCE 598734 2% 100% 4 Search BODY+OF+MINIMAL+RESISTANCE Search BODY+OF+MINIMAL+RESISTANCE
2 NEWTONS PROBLEM 598734 2% 100% 4 Search NEWTONS+PROBLEM Search NEWTONS+PROBLEM
3 MODIFIED RAYLEIGH CONJECTURE 449050 1% 100% 3 Search MODIFIED+RAYLEIGH+CONJECTURE Search MODIFIED+RAYLEIGH+CONJECTURE
4 PROBLEMS OF MINIMAL RESISTANCE 449050 1% 100% 3 Search PROBLEMS+OF+MINIMAL+RESISTANCE Search PROBLEMS+OF+MINIMAL+RESISTANCE
5 WAVELETON 449050 1% 100% 3 Search WAVELETON Search WAVELETON
6 WORM PROBLEM 449050 1% 100% 3 Search WORM+PROBLEM Search WORM+PROBLEM
7 CONVEXITY CONSTRAINT 342130 2% 57% 4 Search CONVEXITY+CONSTRAINT Search CONVEXITY+CONSTRAINT
8 COMPLEX EUCLIDEAN METRIC 299367 1% 100% 2 Search COMPLEX+EUCLIDEAN+METRIC Search COMPLEX+EUCLIDEAN+METRIC
9 CONVEX COVERS 299367 1% 100% 2 Search CONVEX+COVERS Search CONVEX+COVERS
10 INVERSE MAGNUS EFFECT 299367 1% 100% 2 Search INVERSE+MAGNUS+EFFECT Search INVERSE+MAGNUS+EFFECT

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 PLAKHOV, A , (2016) NEWTON'S PROBLEM OF MINIMAL RESISTANCE UNDER THE SINGLE-IMPACT ASSUMPTION.NONLINEARITY. VOL. 29. ISSUE 2. P. 465 -488 15 100% 0
2 PLAKHOV, A , (2012) OPTIMAL ROUGHENING OF CONVEX BODIES.CANADIAN JOURNAL OF MATHEMATICS-JOURNAL CANADIEN DE MATHEMATIQUES. VOL. 64. ISSUE 5. P. 1058-1074 13 100% 1
3 PLAKHOV, AY , (2009) SCATTERING IN BILLIARDS AND PROBLEMS OF NEWTONIAN AERODYNAMICS.RUSSIAN MATHEMATICAL SURVEYS. VOL. 64. ISSUE 5. P. 873 -938 17 81% 4
4 PLAKHOV, A , (2009) BILLIARDS AND TWO-DIMENSIONAL PROBLEMS OF OPTIMAL RESISTANCE.ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS. VOL. 194. ISSUE 2. P. 349 -381 12 100% 2
5 GOUVEIA, PDF , PLAKHOV, A , TORRES, DFM , (2009) TWO-DIMENSIONAL BODY OF MAXIMUM MEAN RESISTANCE.APPLIED MATHEMATICS AND COMPUTATION. VOL. 215. ISSUE 1. P. 37 -52 12 100% 0
6 PLAKHOV, A , TCHEMISOVA, T , (2017) PROBLEMS OF OPTIMAL TRANSPORTATION ON THE CIRCLE AND THEIR MECHANICAL APPLICATIONS.JOURNAL OF DIFFERENTIAL EQUATIONS. VOL. 262. ISSUE 3. P. 2449 -2492 14 70% 0
7 AKOPYAN, A , PLAKHOV, A , (2015) MINIMAL RESISTANCE OF CURVES UNDER THE SINGLE IMPACT ASSUMPTION.SIAM JOURNAL ON MATHEMATICAL ANALYSIS. VOL. 47. ISSUE 4. P. 2754 -2769 10 100% 0
8 WACHSMUTH, G , (2014) THE NUMERICAL SOLUTION OF NEWTON'S PROBLEM OF LEAST RESISTANCE.MATHEMATICAL PROGRAMMING. VOL. 147. ISSUE 1-2. P. 331 -350 10 100% 2
9 PLAKHOV, A , (2009) BILLIARD SCATTERING ON ROUGH SETS: TWO-DIMENSIONAL CASE.SIAM JOURNAL ON MATHEMATICAL ANALYSIS. VOL. 40. ISSUE 6. P. 2155 -2178 13 87% 2
10 PLAKHOV, A , (2015) PROBLEMS OF MINIMAL RESISTANCE AND THE KAKEYA PROBLEM.SIAM REVIEW. VOL. 57. ISSUE 3. P. 421 -434 9 100% 0

Classes with closest relation at Level 1


Rank Class id link
1 8449 OPTIMAL TRANSPORT//OPTIMAL TRANSPORTATION//MONGE KANTOROVICH PROBLEM
2 14899 TRANSLATION SURFACE//INTERVAL EXCHANGE TRANSFORMATION//VEECH GROUPS
3 23019 GENERALIZED RIEMANNIAN SPACE//GEODESIC MAPPING//GEODESICALLY EQUIVALENT METRICS
4 27861 WAVE SCATTERING BY SMALL BODIES//MANY BODY SCATTERING PROBLEM//REFRACTION COEFFICIENT
5 19754 REDUCED BODY//CONSTANT WIDTH//BIRKHOFF ORTHOGONALITY
6 37702 GENERAL DYNAMIC SYSTEMS//HYPERSURFACE SPLINES//LARGE MAGNITUDE SEISMIC EVENTS
7 13757 UNIVERSAL INEQUALITIES//EIGENVALUE RATIO//LIEB THIRRING INEQUALITIES
8 24091 MPCS//CNRSUMR7575//FEYNMAN CHECKERBOARD
9 29847 RADIOSITY EQUATION//SPN APPROXIMATION//SIMPLIFIED P N APPROXIMATIONS
10 16980 BUNDLING//NONLINEAR PRICING//INFORMATION GOODS

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