Rational rooftop functions for convex quadrilaterals
نویسندگان
چکیده
منابع مشابه
Convex Quadrilaterals and k-Sets
We prove that the minimum number of convex quadrilaterals determined by n points in general position in the plane – or in other words, the rectilinear crossing number of the complete graph Kn – is at least ( 38 + 10 −5) ( n 4 ) +O(n). Our main tool is a lower bound on the number of (≤ k)-sets of the point set: we show that for every k ≤ n/2, there are at least 3 ( k+1 2 ) subsets of size at mos...
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Efficient electromagnetic analysis of the composite metallic and dielectric structures in the frequency domain based on the Method of Moments applied to the Surface Integral Equations is provided, if building blocks have the form of bilinear surfaces (in particular, flat quads), and if analysis is supported by the higher order basis functions. Heterogenous surfaces of many 3D structures can be ...
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For a point set P on the plane, a four element subset S ⊂ P is called a 4-hole of P if the convex hull of S is a quadrilateral and contains no point of P in its interior. Let R be a point set on the plane. We say that a point set B covers all the 4-holes of R if any 4-hole of R contains an element of B in its interior. We show that if |R| ≥ 2|B|+5 then B cannot cover all the 4-holes of R. A sim...
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ژورنال
عنوان ژورنال: Microwave and Optical Technology Letters
سال: 2000
ISSN: 0895-2477,1098-2760
DOI: 10.1002/1098-2760(20001220)27:6<422::aid-mop16>3.0.co;2-k