Re: Is this a problem in mathematica?

*To*: mathgroup at smc.vnet.net*Subject*: [mg74622] Re: Is this a problem in mathematica?*From*: Johan Grönqvist <johan.gronqvist at gmail.com>*Date*: Wed, 28 Mar 2007 04:35:53 -0500 (EST)*References*: <eud3g1$l0t$1@smc.vnet.net>

traz skrev: > Let's say I wanna solve this problem: > > Determine point(s) on y = x^2 +1 that are > closest to (0,2). > > So in mathematica: > > minDist = (x - 0)^2 + (y - 2)^2; > Minimize[minDist, y == 1 + x^2, {x, y}] > > Output will give you: x -> -1/Sqrt[2], y -> 3/2 > > but x also has another answer: +1/Sqrt[2]. Is this a problem in mathematica or can my code be changed to output the other value of x for the minimum distance? > The help browser page on Minimize says "Even if the same minimum is achieved at several points, only one is returned. " I think the problem might be solved by using FindMinimium, and starting from several different points. / johan

**Follow-Ups**:**Re: Re: Is this a problem in mathematica?***From:*Andrzej Kozlowski <akoz@mimuw.edu.pl>