نتایج جستجو برای: area convex

تعداد نتایج: 636777  

Journal: :Appl. Math. Lett. 2006
Yatao Du Ren Ding

A finite set of points in the plane is described as in convex position if it forms the set of vertices of a convex polygon. This work studies the ratio between the maximum area of convex heptagons with vertices in P and the area of the convex hull of P, where the planar point set P is in convex position.

Journal: :Taiwanese Journal of Mathematics 1997

Journal: :SIAM Journal on Discrete Mathematics 2016

Journal: :Journal für die reine und angewandte Mathematik (Crelles Journal) 2015

Journal: :Pacific Journal of Mathematics 2003

Journal: :American Journal of Mathematics 2021

Let $\Omega\subset\Bbb{R}^{n+1}$ have minimal Gaussian surface area among all sets satisfying $\Omega=-\Omega$ with fixed volume. $A=A_x$ be the second fundamental form of $\partial\Omega$ at $x$, i.e., $A$ is matrix first order partial derivatives unit normal vector $x\in\partial\Omega$. For any $x=(x_1,\ldots,x_{n+1})\in\Bbb{R}^{n+1}$, let $\gamma_n(x)=(2\pi)^{-n/2}e^{-(x_1^2+\cdots+x_{n+1}^2...

Journal: :Pacific Journal of Mathematics 1970

Journal: :Information Processing Letters 2020

2011
Carlos Alegría-Galicia Tzolkin Garduño Areli Rosas-Navarrete Carlos Seara Jorge Urrutia

Let P be a set of n points in the plane. We solve the problem of computing the orientations for which the rectilinear convex hull of P has minimum area in optimal ⇥(n log n) time and O(n) space. Introduction The interest in the rectilinear convex hull of planar point sets arises from the study of ortho-convexity [10], a relaxation of traditional convexity. Unlike convex regions, an ortho-convex...

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