A subset S of IR" is convex if whenever it contains a and b it also contains the line segment joining them, that is, all points ta+ (I - t)b with O.:S t .::: 1. Show that if S and T are convex subsets of IR", then the set S + T of all sumsx+y,withxinSandyinTisalsoconvex

A subset S of IR" is convex if whenever it contains a and b it also contains the line segment joining them, that is, all points ta+ (I - t)b with O.:S t .::: 1. Show that if S and T are convex subsets of IR", then the set S + T of all sumsx+y,withxinSandyinTisalsoconvex

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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