barrycarter
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 Oct29 comment Elementary matrix proof Do you mean mu times m if i=l and k=m? Oct29 comment Torn between plugging back into the original vs. an intermediate equation… OK, I think I see what you're asking: if you solve the simpler equation, will all of those solutions still solve the original equation. In this case, they do, but, in general, they might not. In particular, if the simpler equation is itself quadratic (or quartic, etc), the simpler one may give you extraneous roots. So, yes, you need to check that the simpler equations solutions still work with the original equation. Oct29 comment Torn between plugging back into the original vs. an intermediate equation… I prefer plugging into y=3x-1, because you avoid the "extraneous roots" you'd get by plugging into the original. Oct29 comment Understanding Mathematical Symbols in Algorithms I think it means T(i,j)=0 when j) Oct15 comment How can I prove that (B and (A implies B)) is equivalent to B? Consider two cases: B is true and B is false. Or, to make things slightly harder, consider these two cases instead: A is true and A is false. Oct15 comment How can I prove that (B and (A implies B)) is equivalent to B? Are you sure about your first step? Don't you have to distribute the first b across the parentheses? I realize you'll just get b V b (which is b), but it looks like you just removed the parentheses, so it's unclear what logic rule you were using. Oct8 comment Calculation of $\int_{0}^{\frac{\pi}{4}}\tan^{-1}\sqrt{\frac{\cos 2x }{2 \cos^2 x}}dx$ This doesn't help, but the numerical value is roughly 0.41123351671205660911810379166150629730473746630197, and, according to oldweb.cecm.sfu.ca/cgi-bin/isc/… this doesn't appear to be a "well known" number. Oct7 comment Name of a certain set Perhaps see also math.stackexchange.com/questions/61613/… Oct7 awarded Citizen Patrol