From: utzoo!decvax!yale-com!leichter Newsgroups: net.math Title: Re: Brahmin priest Article-I.D.: yale-com.775 Posted: Wed Feb 2 09:36:53 1983 Received: Thu Feb 3 03:44:17 1983 References: brunix.1323 Since we are into "same on two days" etc., here is a neat result (VERY non-tri- vial!) It's (an application of) the Borsok[sp?]-Ulam Theorem: At any given time, there is a pair of points A,B on the surface of the earth with the property that: 1. A and B are antipodal (the line joining them goes through the center of the earth; 2. The temperatures at A and B are the same; 3. The barometric pressures at A and B are the same. (You can substitute any continuous, everywhere-defined functions of 2-d location on the surface of the earth for temperature and barometric pressure.) -- Jerry decvax!yale-comix!leichter