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 Apr1 awarded Nice Answer Sep4 awarded Yearling Sep4 awarded Yearling Jun3 comment Formula for calculating rate drain I wish I could double-upvote your answer. An excellent explanation of transition to a more natural additive units, plus spoiler-protected answer! Jan8 answered Is there any theorem talking about the uniqueness of eigenvector? Dec1 comment how to find center of an arc given start point, end point, radius, and arc direction? System of two quadratic equations is a pain to solve from the scratch. There are better ways... Nov7 comment Finding $\lim_{n \to \infty }\sqrt[n]{b^{2^{-n}}-1}$ without L'hopital IMHO - l`Hopital is one of the simplest methods. It saves you proofs of the form "for each epsilon there exists N such that for every n>N ...". Those usually involve more complex technics Oct23 answered Finding $f(0)$ and $f'(2)$ when $f(x+y+z)=f(x)f(y)f(z), \forall x,y,z \in \mathbb{R}$ Oct23 answered Am I misapplying L'Hopital's rule? Oct4 comment Proving a trigonometric identity Correct, but incomplete. Please see my post Oct4 answered Proving a trigonometric identity Sep18 comment Complex integral with essential singularity at 0 It seems like it's impossible to expand Exp(1/x) into Laurent series, because it has infinite number of negative degrees of x. I mean, for every n: Exp(1/x) * x^n diverges at x=0. Sep18 answered Calculating time taken to get down a slope Sep18 comment Is this sum lesser or equal to 2? @anon: I see now. Thanks. Sep18 answered Is this sum lesser or equal to 2? Sep15 comment How to construct the Singular Value Decomposition(SVD) of an operator P? I know nothing about SVD decomposition of an operator. But I'm trying to guess. Operators may be represented in a matrix form (in finite basis), then SVD decomposition of an operator is probably the same as of the matrix. If the basis is infinite, or even non-discrete, then there's probably a generalization of the same process. Sep12 comment Triangle whose height and sides are consecutive integers I thought about this method too. However you made some "shortcuts". (1) You assume that the height is cast on the edge b, i.e. the "middle" edge. It's not obvious that there are other variants. (2) The last part of your solution, it's surprising that you don't use the fact that h should be equal to b-2, you just verify this at the end. OTOH if you substitute b-2 instead of h you'll get *k*=7 directly, it'll also prove that there are no other solutions. Sep11 comment Bases of spaces of continuous functions The question is unclear. There are infinitely many complete bases of continuous functions for a closed interval with defined boundary conditions. OTOH a typical physical question is defined by a boundary condition and a differential equation. Those together do define a concrete basis. Sep11 answered How to create 2x2 matrix to rotate vector to right side? Sep8 answered Troublesome functional derivative: second term of Euler-Lagrange equation