My Math Forum  

Go Back   My Math Forum > High School Math Forum > Algebra

Algebra Pre-Algebra and Basic Algebra Math Forum

LinkBack Thread Tools Display Modes
November 26th, 2010, 08:42 AM   #1
Joined: Nov 2010

Posts: 1
Thanks: 0

Convex hull

Hello all,
Here is question seemingly obvious but I can't find the answer:

Let E a set of n points (X1,,Xn) in the d-dimensional euclidian space ; Xi=(x1,i,,xd,i). Let us denote by CH(X) the convex hull of (X1,,Xn). Let f1, f2,.,fd a collection of real-valued functions continuous, strictly increasing and smooth, such that Yi=(f1(x1,i),,fd(xd,i)). Let us denote by CH(Y) the convex hull of (Y1,,Yn).

my question is:

How to show that a new point Xn+1 belongs to CH(X) if and only if Yn+1 belongs to CH(Y).

thanks in advance
magyaddello is offline  

  My Math Forum > High School Math Forum > Algebra

convex, hull

Thread Tools
Display Modes

Similar Threads
Thread Thread Starter Forum Replies Last Post
Convex Hull Problem Harsha Krishna K Linear Algebra 3 March 26th, 2014 07:18 AM
Hull White Model iminluck Economics 0 October 2nd, 2013 04:51 PM
Convex set, convex function Vasily Applied Math 1 June 30th, 2012 02:57 PM
convex combination of closed and convex sets frederico Real Analysis 0 April 6th, 2009 11:31 AM
Question on convex hull saipkjai Algebra 0 April 1st, 2008 10:38 PM

Copyright © 2019 My Math Forum. All rights reserved.