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By far the most interesting part to me was this aside: >> But getting it to work proved much harder than some other equally cute, real-world applications of th
by istjohn 7y ago
By far the most interesting part to me was this aside:
>> But getting it to work proved much harder than some other equally cute, real-world applications of the IVT [Intermediate Value Theorem], such as the fact that at any moment in time, there is always at least one location on the earth's surface where the temperature is exactly the same as at the location diametrically opposite on the other side of the globe.
- yesenadam 7y agoHow to find one (two): The temperature at the spot (B) on the other side of the world from you (A) is either the same (Finished) or different. If different, head towards B, (any direction is fine!) and at some point before you get there and the A vs B temperatures are swapped, the two will be the same. Since the direction you go doesn't matter, evidently there's a path "around the world" where this true, not just a point! (Ok, just a point if they're initially the same.)