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 Nov 30 awarded Popular Question Oct 1 awarded Notable Question Jun 22 awarded Popular Question Jul 2 comment How would you count a base > 36 system? @user87690: ah, my mistake, yes you're correct, it should actually be base 256. Jul 2 comment How would you count a base > 36 system? IPv4 for example is 4 digits of base 255, traditionally denoted as dot separated base 10 numbers (e.g. 255.255.255.255). IPv6 took a similar approach, though the notation is slightly different, with 6 digits of colon separated base 16 numbers (e.g. ff:ee:dd:cc:bb:aa). This is a practical system that can scale to arbitrarily large bases without having to memorize/invent new symbols. Jun 23 comment If A = B, then B = A… Not Always True? Definition of “=” In standard math parlance, "=" refers to the equality relation which is an equivalence relation and should always be properly spelled out as "is equal to" or "equals", rather than just "is". Using plain "is" is a poor form because in English "is" can refer to both equality relation or subset relation. Now that that's cleared up, equivalence relation is defined to be a relation which is reflexive. A relation R is said to be reflexive if it holds that if aRb then bRa for all a and b. Sep 27 awarded Yearling Aug 26 awarded Popular Question Jun 23 revised Prove that the additive inverse of an odd integer is an odd integer added 8 characters in body Jun 23 comment Prove that the additive inverse of an odd integer is an odd integer I like the simplicity of this approach. Pedantic: you still also need to prove the base case. Jun 23 answered Prove that the additive inverse of an odd integer is an odd integer May 12 awarded Nice Answer May 4 comment How long will it take Marie to saw another board into 3 pieces? You should all know that in these kind of tests, picture is not drawn to scale. That image is actually an image of a board drawn with altered scale to fool students that trued using rulers to get the answer. Apr 25 answered How to entertain a crowd with mathematics? Mar 8 answered Comparing $2013!$ and $1007^{2013}$ Feb 18 comment Where are the values of the sine function coming from? @JackM: I don't think the sin is the only solution that that differential equation. Case in point, $f(x) = 0$, $f'(x) = 0$, $f''(x) = 0$, and $-f''(x) = 0$ is also $f = -f''$. It would not be a good way to define a function. Jan 18 answered Can you provide me historical examples of pure mathematics becoming “useful”? Jan 7 revised Formalizing the idea of “algorithm” added 72 characters in body Jan 7 awarded Revival Jan 7 answered Formalizing the idea of “algorithm”