Location of the Fermat-Torricelli medians of three points
نویسندگان
چکیده
منابع مشابه
Algorithms for bivariate medians and a fermat-torricelli problem for lines
Given a set S of n points in R 2 , the Oja depth of a point is the sum of the areas of all triangles formed by and two elements of S. A point in R 2 with minimum depth is an Oja median. We show how an Oja median may be computed in O(n log 3 n) time. In addition, we present an algorithm for computing the Fermat-Torricelli points of n lines in O(n) time. These points minimize the sum of weighted ...
متن کاملThe Fermat-torricelli Problem in the Light of Convex Analysis
In the early 17th century, Pierre de Fermat proposed the following problem: given three points in the plane, find a point such that the sum of its Euclidean distances to the three given points is minimal. This problem was solved by Evangelista Torricelli and was named the Fermat-Torricelli problem. A more general version of the Fermat-Torricelli problem asks for a point that minimizes the sum o...
متن کاملhistological evaluation of the effect of three medicaments; trichloracetic acid, formocresol and mineral trioxide aggregate on pulpotomized teeth of dogs
چکیده ندارد.
15 صفحه اولThe Fermat-Torricelli problem in normed planes and spaces
The famous Fermat-Torricelli problem (in Location Science also called the Steiner-Weber problem) asks for the unique point x minimizing the sum of distances to arbitrarily given points x1, . . . ,xn in Euclidean d-dimensional space R. In the present paper, we will consider the extension of this problem to d-dimensional real normed spaces (= Minkowski spaces), where we investigate mainly, but no...
متن کاملAnalytical Solution for the Generalized Fermat-Torricelli Problem
We present explicit analytical solution for the problem of minimization of the function F (x, y) = ∑3 j=1mj √ (x− xj) + (y − yj), i.e. we find the coordinates of stationary point and the corresponding critical value as functions of {mj , xj, yj}j=1. In addition, we also discuss inverse problem of finding such values for m1, m2, m3 for which the corresponding function F possesses a prescribed po...
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: Transactions of the American Mathematical Society
سال: 2002
ISSN: 0002-9947,1088-6850
DOI: 10.1090/s0002-9947-02-03113-6