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Probing through the intersection of hyperplanes

✍ Scribed by Awanti P Sethi; Abraham Mehrez

Book ID
103585066
Publisher
Elsevier Science
Year
1989
Tongue
English
Weight
345 KB
Volume
8
Category
Article
ISSN
0167-6377

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πŸ“œ SIMILAR VOLUMES

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Let A be a central arrangement of hyperplanes in C n , let M(A) be the complement of A, and let L(A) be the intersection lattice of A. For X in L(A) we set A X = {H ∈ A: H βŠ‡ X}, and We call the images of these monomorphisms intersection subgroups of type X and prove that they form a conjugacy class

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We define means in n variables by taking the intersection point in R n of n osculating hyperplanes to a given curve in R n . These planes are the natural extensions of the osculating plane in R 3 . More precisely, let C be a curve in R n , and let 0a -ΠΈΠΈΠΈa -Ο±. Let O be the osculating hyperplane to C

Metric dimension of the intersections of
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In this paper we improve the construction of Goto (1993) to obtain the Main Theorem: Let n, m and k be arbitrary integers such that 0 < m < n -1 3 1 and m < k < min{2m, n -1). Then there exists a point set Xk,, in Euclidean n-space IR" such that (i) pdimX& = m and dimXk,, = k, (ii) pdim(X& n H) = m