tag:blogger.com,1999:blog-5244458674117363159.post3882426142508176528..comments2023-09-24T02:39:05.162-07:00Comments on Daily GRE: Math GRE - #11Paul Liuhttp://www.blogger.com/profile/16809371907394009052noreply@blogger.comBlogger2125tag:blogger.com,1999:blog-5244458674117363159.post-28762520353213615132011-08-12T16:44:35.041-07:002011-08-12T16:44:35.041-07:00@564687438437171172.0
Yup! You are correct! And th...@564687438437171172.0<br />Yup! You are correct! And the TeX works :)Paul Liuhttps://www.blogger.com/profile/16809371907394009052noreply@blogger.comtag:blogger.com,1999:blog-5244458674117363159.post-5646874384371711722011-08-12T04:31:54.964-07:002011-08-12T04:31:54.964-07:00This formula is also a nice quick way to see that ...This formula is also a nice quick way to see that the function defined to be the maximum of two (real-valued) continuous functions is also continuous (although it's not too bad to do this in a more general topological setting where one doesn't have the luxury of continuous binary operations, it's not nearly as quick). Another use for formula is in the proof for the Stone-Weierstrass theorem.<br /><br />For the minimum of x and y, one would replace the expresion with $\frac{x+y-|x-y|}{2}$ (hopefully the tex works!)Kevinhttps://www.blogger.com/profile/13910448998912161723noreply@blogger.com