Asymptotic shape of a random polytope in a convex body
نویسندگان
چکیده
منابع مشابه
On the convex hull of random points in a polytope
'This research was sponsored by the National Science Foundation under Grant No. ECS-8418392. The views and conclusions contained in this document are those of the author and should not be interpreted as representing the official policies, either expressed or implied, of the National Science Foundation or the US Government. On the Convex Hull of Random Points in a Polytope R e x A . D w y e r * ...
متن کاملConvex Hull Asymptotic Shape Evolution
The asymptotic properties of Rapidly exploring Random Tree (RRT) growth in large spaces is studied both in simulation and analysis. The main phenomenon is that the convex hull of the RRT reliably evolves into an equilateral triangle when grown in a symmetric planar region (a disk). To characterize this and related phenomena from flocking and swarming, a family of dynamical systems based on incr...
متن کاملa swot analysis of the english program of a bilingual school in iran
با توجه به جایگاه زبان انگلیسی به عنوان زبانی بین المللی و با در نظر گرفتن این واقعیت که دولت ها و مسئولان آموزش و پرورش در سراسر جهان در حال حاضر احساس نیاز به ایجاد موقعیتی برای کودکان جهت یاد گیری زبان انگلیسی درسنین پایین در مدارس دو زبانه می کنند، تحقیق حاضر با استفاده از مدل swot (قوت ها، ضعف ها، فرصتها و تهدیدها) سعی در ارزیابی مدرسه ای دو زبانه در ایران را دارد. جهت انجام این تحقیق در م...
15 صفحه اولSilhouette of a random polytope
We consider random polytopes defined as the convex hull of a Poisson point process on a sphere in R3 such that its average number of points is n. We show that the expectation over all such random polytopes of the maximum size of their silhouettes viewed from infinity is Θ( √ n).
متن کاملThe Intersection of Convex Transversals is a Convex Polytope
It is proven that the intersection of convex transversals of finitely many sets in R is a convex polytope, possibly empty. Related results on support hyperplanes and complements of finite unions of convex sets are given. MSC 2000: 52A20
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Journal of Functional Analysis
سال: 2009
ISSN: 0022-1236
DOI: 10.1016/j.jfa.2009.06.027