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 12h comment Why do both sine and cosine exist? …and once you get to studying Fourier series, having a function that is even and a function that is odd proves convenient. 12h comment Does this matrix operation hold? How do you propose to subtract a vector from a matrix in the first place? 12h revised On Weisner Method edited tags 19h comment Prove or disprove that the sum of two irrational numbers is irrational It's like asking if a woman can both be pregnant and not pregnant… Aug 28 comment Overlapping Polynomials Consider what happens if you subtract the two "overlapping" polynomials. Unless the result is the zero polynomial, this violates the fundamental theorem of algebra. Aug 28 revised Cauchy's Integral Formula for Cayley-Hamilton Theorem deleted 2 characters in body Aug 28 reviewed Reject difference between implicit and explicit solutions? Aug 26 comment Common Math Mistakes Made by Scientists +1; Kahan has talked about how a number of classical formulae perform very poorly when implemented numerically; his website has a number of examples. Aug 26 comment Can Eisenstein Series output complex numbers? I see; I had used the formula relating $E_2$ and the complete elliptic integral of the second kind (from Abramowitz and Stegun), but wound up with a function that inherited the branch cuts of $E(m)$; I'll test your route the next time I have a computer… Aug 26 comment Can Eisenstein Series output complex numbers? Hi, may I ask what you used for making these plots? They look lovely. Aug 25 revised Convert from decimal to fraction edited tags Aug 25 revised Can exact numbers be written in scientific notation edited tags Aug 24 awarded Necromancer Aug 21 revised Best Quotes by a Mathematician rolled back to a previous revision Aug 20 comment How to convert a decimal to a fraction easily? "and reduce" - would you be able to do the Euclidean algorithm quickly in a pinch? Aug 20 revised Prove that $i^i$ is a real number deleted 2 characters in body Aug 20 revised closed-form expression for roots of a polynomial added 51 characters in body Aug 20 comment How do 3 points define a plane? ...three noncollinear points, yes. In proper Euclidean geometry, this is actually a postulate. Aug 17 revised “A proof that algebraic topology can never have a non self-contradictory set of abelian groups” - Dr. Sheldon Cooper edited tags Aug 17 comment Is there an equation to describe regular polygons? You're basically using $\arctan \cot x$ here as your sawtooth… :)