N.A. Berdyaev and I.A Ilyin’s anthropological concepts: intersection and rejection points
نویسندگان
چکیده
منابع مشابه
Constructing Points through Folding and Intersection
Fix an n ≥ 3. Consider the following two operations: given a line with a specified point on the line we can construct a new line through the point which forms an angle with the new line which is a multiple of π/n (folding); and given two lines we can construct the point where they cross (intersection). Starting with the line y = 0 and the points (0, 0) and (1, 0) we determine which points in th...
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An algorithm is demonstrated that finds an ordinary intersection in an arrangement of n lines in R, not all parallel and not all passing through a common point, in time O(n logn). The algorithm is then extended to find an ordinary intersection among an arrangement of hyperplanes in R, no d passing through a line and not all passing through the same point, again, in time O(n logn). Two additiona...
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Claim 1.1. Let L be a set of n lines in R. Then there exists a nontrivial polynomial f ∈ R[x1, x2, x3] of degree smaller than 3 √ n that vanishes on all the lines of L. Proof. Let P be a set of at most 4n points, that is obtained by arbitrarily choosing 4 √ n points from every line of L. Since ( 3 √ n+3 3 ) > 4n, by Lemma 2.1 of Chapter 5 there exists a nontrivial polynomial f ∈ R[x1, x2, x3] o...
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ژورنال
عنوان ژورنال: Samara Journal of Science
سال: 2016
ISSN: 2309-4370
DOI: 10.17816/snv20164216