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Equilateral point sets in elliptic geometry

WebEquilateral point sets in elliptic geometry. Proceedings of the Koninklijke Nederlandse Akademie van Wetenschappen: Series A: Mathematical Sciences . 1966;69(3):335 … WebA set of lines in R n is called equiangular if the angle between each pair of lines is the same. We derive new upper bounds on the cardinality of equiangular lines. Let us denote the maximum cardinality of equiangular lines in R n with the common angle arccos α by M α ( n).

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WebSep 1, 2024 · It is well known that there exists a set of equiangular lines with common angle arccos (α) satisfying the absolute bound for each 1/α ∈ {2, √ 5, 3, 5}. Cao et al. showed that a set of... WebAug 1, 2024 · Equilateral point-sets in elliptic two- and three-dimensional spaces. Nieuw Arch. Wisk., 22 (1948), pp. 355-362. View Record in Scopus Google Scholar. ... Equilateral point sets in elliptic geometry. Indag. Math., 28 (1966), pp. 335-348. View Record in Scopus Google Scholar. A. Neumaier. ladpw groundwater wells https://dfineworld.com

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WebJan 1, 2006 · Inequalities are obtained between the various parameters of a distance-regular graph. In particular, if k 1 is the valency and k 2 is the number of vertices at distance two from a given vertex, then in general k 1 ⩽ k 2.For distance-regular graphs of diameter at least four, k 1 =k 2 if and only if the graph is simply a circuit. However when the … WebA. C. Thompson, Minkowski Geometry, Encyclopedia of Mathematics and its Applications, Cambridge University Press, 63 (1996). J. H. van Lint and J. J. Seidel, Equilateral point sets in elliptic geometry, Indagationes Mathematicae, Vol. 28 (1966) pp. 335–348. Google Scholar Download references WebSeidel's selected papers are divided into four areas: graphs and designs; lines with few angles; matrices and forms; and non-Euclidean geometry. A list of all of Seidel's … property discount

Real inflection points of real linear series on real (hyper)elliptic ...

Category:Equiangular Lines in Low Dimensional Euclidean Spaces

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Equilateral point sets in elliptic geometry

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WebEquilateral point-sets in elliptic two- and three-dimensional spaces (1948): A point set in a metric space is called equilateral if its pairs of different points have the same … WebIn elliptic geometry, two lines perpendicular to a given line must intersect. In fact, the perpendiculars on one side all intersect at a single point called the absolute pole of that …

Equilateral point sets in elliptic geometry

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WebWe also show that maximal sets of mutually unbiased bases convert between coordinate projections associated with certain balanced incomplete block designs and … WebA set of n lines, spanned by the unit vectors v1, ..., v n in a d-dimensional Euclidean space is called equiangular, if there is a common angle α ≥ 0, such that for all i 6= j, i,j ∈ {1,...,n} we have hv i,v ji = α. The concept of equiangular lines was introduced in [4], and its theory was developed in [5], [6]. The maximum number of ...

WebApr 10, 2024 · Equilateral point-sets in elliptic two- and three-dimensional spaces[J]. nieuw arch wiskunde. ^ a b c [1] Lemmens P , Seidel J J . Equiangular lines[J]. Journal of Algebra, 1973, 24(3):494-512. ^ [1] Lint J H V , Seidel J J . Equilateral point sets in elliptic geometry[J]. Indagationes Mathematicae, 1966, 69:335-348.

WebAug 31, 2024 · J. H aantjes: Equilateral point-sets in elliptic two- and three-dimensional spaces, Nieuw Arch. Wiskd. 22 (1948), 355–362. MathSciNet MATH Google Scholar R. W. H eath and T. S trohmer: Grassmannian frames with applications to coding and communication, Appl. Comput. Harmon. Anal. 14 (3) (2003), 257–275. Article … WebJ. H. van Lint and J. J. Seidel, Equilateral points sets in elliptic geometry, Proc. Kon. Nederl. Akad. Wet., Ser. A, 69 (1966), pp. 335–348. Google Scholar Raphael M. Robinson, Arrangement of 24 points on a sphere, Math. Annalen 144 (1961), pp.17–48. CrossRef MATH Google Scholar

WebIt is conjectured that there exist at most 2k equidistant points in the k -dimensional rectilinear space. This conjecture has been verified for k\\leq 3 ; we show here its validity in dimension k=4 . We also discuss a number of related questions. For ...

WebNov 1, 2003 · Almost all trees share a complete set of immanantal polynomials. J. Graph Theory, 17 (1993), pp. 467-476. CrossRef View in Scopus Google Scholar [5] ... J.H. van Lint, J.J. Seidel, Equilateral point sets in elliptic geometry, Proc. Nederl. Akad. Wetenschappen A 69 (1966) 335–348. Google Scholar property discount trustWebApr 10, 2024 · Equilateral point-sets in elliptic two- and three-dimensional spaces[J]. nieuw arch wiskunde. ^ a b c [1] Lemmens P , Seidel J J . Equiangular lines[J]. Journal of … ladr parathormonWebAn equivalence class of graphs under switching is called a switching class. Switching was introduced by van Lint & Seidel (1966) and developed by Seidel; it has been called graph switching or Seidel switching, partly to distinguish it from switching of signed graphs . property disposal meaning