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 Feb 22 revised What class of functions can be applied to both sides of an equal sign and preserve the equality? fixed LaTeX markup Feb 7 awarded Citizen Patrol Jan 22 answered Express an even number as a sum of primes Jan 19 revised What is (a) geometry? concision Jan 15 comment How long will it take Marie to saw another board into 3 pieces? The way to see this is that you're making twice as many cuts for 3 pieces. Jan 1 revised Is $\pi^0$ actually rational? How about $\pi^i$? explained delete question Nov 10 comment What class of functions can be applied to both sides of an equal sign and preserve the equality? Well I come from computer science, and I can say that most use, apart from scientific computing and floating point, is of pure mathematics, so you can say whether they are equal with absolute precision. That's why it's interesting. Nov 5 comment What class of functions can be applied to both sides of an equal sign and preserve the equality? Excellent distinction. Now if I may suggest that the equal sign used for real numbers (like that in the physical sciences) is not the same equal sign used for arithmetic. Because in sciences you never have the exact same thing, as it deals with the imperfect realm of MEASURE and you're always COMPARING with the equal sign, not putting a different name on it. See also my question "What should the domain in which geometry exists be called?" Nov 5 comment What class of functions can be applied to both sides of an equal sign and preserve the equality? Interesting. I'm starting to see where the question really lies and it is at the entire notion of "equals". In my working definition, you can't have undefined=undefined--it's a contradiction, and might be something like infinity=infinity. But I think I can relax the notion. Will ponder further... Nov 4 revised What class of functions can be applied to both sides of an equal sign and preserve the equality? edited tags Nov 2 comment Is $\pi$ periodic in any numeral system? But what of the case of numerical system in base-$\pi$? Nov 2 revised What is (a) geometry? added 213 characters in body Nov 2 answered What is (a) geometry? Oct 31 awarded Teacher Oct 22 revised Is $\pi^0$ actually rational? How about $\pi^i$? added 22 characters in body Oct 22 revised Is $\pi^0$ actually rational? How about $\pi^i$? added 22 characters in body Oct 22 comment Is $\pi^0$ actually rational? How about $\pi^i$? I think in the end, I am satisfied with the equality to 1. I withdraw the question. Oct 22 comment Transcendental Numbers (simple question) Strangely, this question HAS been asked before, but the cabal of moderators here keep shifting things around. Oct 22 revised What is $\log_{\pi}1$ equal to? added 53 characters in body Oct 22 comment What is $\log_{\pi}1$ equal to? With apologies, I've changed the question significantly. Now I've asked the question to see if there's any interesting properties about logs with transcendental bases that are actually solvable.