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 Apr 1 awarded Nice Answer Sep 4 awarded Yearling Sep 4 awarded Yearling Jun 3 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! Jan 8 answered Is there any theorem talking about the uniqueness of eigenvector? Dec 1 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... Nov 7 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 Oct 23 answered Finding $f(0)$ and $f'(2)$ when $f(x+y+z)=f(x)f(y)f(z), \forall x,y,z \in \mathbb{R}$ Oct 23 answered Am I misapplying L'Hopital's rule? Oct 4 comment Proving a trigonometric identity Correct, but incomplete. Please see my post Oct 4 answered Proving a trigonometric identity Sep 18 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. Sep 18 answered Calculating time taken to get down a slope Sep 18 comment Is this sum lesser or equal to 2? @anon: I see now. Thanks. Sep 18 answered Is this sum lesser or equal to 2? Sep 15 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. Sep 12 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. Sep 11 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. Sep 11 answered How to create 2x2 matrix to rotate vector to right side? Sep 8 answered Troublesome functional derivative: second term of Euler-Lagrange equation