Arealogy, stratigraphy and oyconymic landscape: intersection points
نویسندگان
چکیده
منابع مشابه
On Finding Ordinary Intersection Points∗
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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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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K. S. Lau had shown that a reflexive Banach space has the Mazur Intersection Property (MIP) if and only if every closed bounded convex set is the closed convex hull of its farthest points. In this work, we show that in general this latter property is equivalent to a property stronger than the MIP. As corollaries, we recapture the result of Lau and characterize the w*-MIP in dual of RNP spaces.
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Some phospholipid/dihydrocholesterol Langmuir monolayers form coexisting liquid phases. Gas domains form at the interface between the phospholipid-rich and dihydrocholesterol-rich liquid phases when these monolayers undergo expansion to low surface pressure. Analysis of the domain shapes thus formed yields the relative line tensions of the gas/phospholipid, gas/dihydrocholesterol, and phospholi...
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ژورنال
عنوان ژورنال: Annales Universitatis Mariae Curie-Skłodowska, sectio FF – Philologiae
سال: 2019
ISSN: 0239-426X
DOI: 10.17951/ff.2019.37.2.13-25