منابع مشابه
Lines Pinning Lines
A line ` is a transversal to a family F of convex polytopes in R if it intersects every member of F . If, in addition, ` is an isolated point of the space of line transversals to F , we say that F is a pinning of `. We show that any minimal pinning of a line by polytopes in R such that no face of a polytope is coplanar with the line has size at most eight. If in addition the polytopes are pairw...
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A Software Product Line (SPL) is a set of related programs. A SPL of a SPL (SPL), or a product line of a product line, is a fundamental scaling of product line concepts. A member of a SPL is not a program, but a SPL. The idea recurses: a SPL is a SPL of a SPL, and so on. The depth of recursion is the rank of the product line. We present an algebra to understand and build feature-based product l...
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15 صفحه اولLines and Osculating Lines of Hypersurfaces
This is a detailed study of the infinitesimal variation of the varieties of lines and osculating lines through a point of a low degree hypersurface in projective space. The motion is governed by a system of partial differential equations which we describe explicitly.
متن کاملOn lines and Joints
Let L be a set of n lines in R, for d ≥ 3. A joint of L is a point incident to at least d lines of L, not all in a common hyperplane. Using a very simple algebraic proof technique, we show that the maximum possible number of joints of L is Θ(n). For d = 3, this is a considerable simplification of the orignal algebraic proof of Guth and Katz [8], and of the follow-up simpler proof of Elekes et a...
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ژورنال
عنوان ژورنال: Annals of Reviews & Research
سال: 2018
ISSN: 2641-8320
DOI: 10.19080/arr.2018.01.555565