Class information for:
Level 1: REDUCED BODY//NORMED PLANE//BIRKHOFF ORTHOGONALITY

Basic class information
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
14 4 MATHEMATICS//MATHEMATICS, APPLIED//MATH 912822
636 3       CONVEX BODY//JOURNAL OF COMPLEXITY//STEREOLOGY 11958
2815 2             CONVEX BODY//STAR BODY//INTERSECTION BODY 3270
25244 1                   REDUCED BODY//NORMED PLANE//BIRKHOFF ORTHOGONALITY 310

Terms with highest relevance score


rank Category termType chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 REDUCED BODY authKW 1321666 4% 100% 13
2 NORMED PLANE authKW 1223375 6% 63% 19
3 BIRKHOFF ORTHOGONALITY authKW 1062565 6% 58% 18
4 ISOSCELES ORTHOGONALITY authKW 996325 5% 70% 14
5 RADON CURVES authKW 508333 2% 100% 5
6 MINKOWSKI GEOMETRY authKW 487985 4% 40% 12
7 EQUILATERAL SET authKW 457497 2% 75% 6
8 BODY OF CONSTANT WIDTH authKW 423609 2% 83% 5
9 ROBERTS ORTHOGONALITY authKW 423609 2% 83% 5
10 MINKOWSKI PLANE authKW 396814 4% 35% 11

Web of Science journal categories


chi_square_rank Category chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 Mathematics 14440 92% 0% 285
2 Mathematics, Applied 1413 27% 0% 85
3 Computer Science, Theory & Methods 600 13% 0% 39
4 Operations Research & Management Science 1 1% 0% 3
5 Computer Science, Software Engineering 1 1% 0% 3
6 Computer Science, Hardware & Architecture 1 1% 0% 2
7 Multidisciplinary Sciences 0 0% 0% 1
8 Computer Science, Information Systems -0 1% 0% 2
9 Automation & Control Systems -0 0% 0% 1
10 Physics, Mathematical -1 0% 0% 1

Address terms


chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 ELE INFORM ENGN 101667 0% 100% 1
2 INFORMAT FONDAMENTALE BIOMATH 101667 0% 100% 1
3 JANA JEDRZEJA SNIADECKICH MATEMAT FIZYKI 101667 0% 100% 1
4 MATEMAT ANAL TANSZEK 101667 0% 100% 1
5 GEOMETRY 64590 5% 4% 15
6 INFORMAT HBEREICH MATH 50832 0% 50% 1
7 SECCIO MATEMAT 50832 0% 50% 1
8 MATH PL MATH ASTRON 48869 2% 10% 5
9 ETSAB 43957 1% 11% 4
10 FB C MATH 33888 0% 33% 1

Journals


chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 DISCRETE & COMPUTATIONAL GEOMETRY 49207 10% 2% 32
2 AEQUATIONES MATHEMATICAE 16004 3% 2% 9
3 ADVANCES IN GEOMETRY 8073 2% 1% 7
4 STUDIA SCIENTIARUM MATHEMATICARUM HUNGARICA 8073 2% 1% 7
5 ANALELE STIINTIFICE ALE UNIVERSITATII AL I CUZA DIN IASI-SERIE NOUA-MATEMATICA 7593 1% 2% 4
6 GEOMETRIAE DEDICATA 7537 5% 0% 15
7 ARCHIV DER MATHEMATIK 5085 5% 0% 16
8 MATHEMATISCHE NACHRICHTEN 4803 5% 0% 14
9 RESULTS IN MATHEMATICS 4446 2% 1% 6
10 PUBLICATIONES MATHEMATICAE-DEBRECEN 4175 3% 0% 9

Author Key Words


chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass LCSH search Wikipedia search
1 REDUCED BODY 1321666 4% 100% 13 Search REDUCED+BODY Search REDUCED+BODY
2 NORMED PLANE 1223375 6% 63% 19 Search NORMED+PLANE Search NORMED+PLANE
3 BIRKHOFF ORTHOGONALITY 1062565 6% 58% 18 Search BIRKHOFF+ORTHOGONALITY Search BIRKHOFF+ORTHOGONALITY
4 ISOSCELES ORTHOGONALITY 996325 5% 70% 14 Search ISOSCELES+ORTHOGONALITY Search ISOSCELES+ORTHOGONALITY
5 RADON CURVES 508333 2% 100% 5 Search RADON+CURVES Search RADON+CURVES
6 MINKOWSKI GEOMETRY 487985 4% 40% 12 Search MINKOWSKI+GEOMETRY Search MINKOWSKI+GEOMETRY
7 EQUILATERAL SET 457497 2% 75% 6 Search EQUILATERAL+SET Search EQUILATERAL+SET
8 BODY OF CONSTANT WIDTH 423609 2% 83% 5 Search BODY+OF+CONSTANT+WIDTH Search BODY+OF+CONSTANT+WIDTH
9 ROBERTS ORTHOGONALITY 423609 2% 83% 5 Search ROBERTS+ORTHOGONALITY Search ROBERTS+ORTHOGONALITY
10 MINKOWSKI PLANE 396814 4% 35% 11 Search MINKOWSKI+PLANE Search MINKOWSKI+PLANE

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.

Classes with closest relation at Level 1


rank cluster_id2 link
1 38562 HURWITZ ACTION//3D LEMNISCATES//BIFOCAL CURVE
2 25574 ORTHOGONALITY PRESERVING MAPPINGS//BIRKHOFF JAMES ORTHOGONALITY//DUNKL WILLIAMS INEQUALITY
3 21608 SMALLEST ENCLOSING CYLINDER//CORE SETS//INNER AND OUTER RADII
4 17179 FARTHEST POINT//CHEBYSHEV SET//GENERIC PROPERTY
5 32616 MINIMUM WEIGHT TRIANGULATION//MAXIMUM WEIGHT TRIANGULATION//GREEDY TRIANGULATION
6 33483 INTERSECTION PERCENTAGE FUNCTION//DISINTEGRATION OF LEBESGUE MEASURE//GEOMETRIC MEASURE REPRESENTATION
7 28410 MINIMAL PROJECTION//PROJECTION CONSTANTS//ABSOLUTE PROJECTION CONSTANT
8 38429 PLANE CURVATURE//STRICTLY LOCALLY CONVEX CURVE//STRICTLY CONVEX CURVE
9 9008 NORMAL STRUCTURE//JAMES CONSTANT//FIXED POINT PROPERTY
10 29153 TERNARY CYCLOTOMIC POLYNOMIAL//FLAT CYCLOTOMIC POLYNOMIAL//BOMBIERIS NORM

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