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 Dec9 comment 7 Drinks - 7 Flavors - Infinite variety? Well, no. For the same reason that the Banach-Tarski paradox doesn't apply to reality (you can't have an infinitesimal part of a ball/amount of a liquid). Sep19 comment Solving Normal Distribution Probability Aug25 comment I need a function with the following behavior i.e. $\frac{a}{\ln(b+1)}\ln(x+1)$ Aug19 comment Create a C++ program to evaluate the following series: $\sin x \approx x - \frac{x^3}{3! }+\frac{x^5}{5!}-\frac{x^7}{7!}\cdots\pm\frac{x^n}{n!}$ Since we're talking C++, some template metaprogramming could speed up the calculation as well. Aug6 comment The distribution $\Delta u$ (where $u = \ln|\vec{x}|$) I guess I was using it as a definition without realizing. I have removed that sentence from the question to avoid more confusion. Aug6 comment The distribution $\Delta u$ (where $u = \ln|\vec{x}|$) There's no explicit definition in the exercise, but just expanding $\Delta$ and applying the known relation $\partial u[\phi] = -u[\partial \phi]$ means it has to be that way. Aug6 comment The distribution $\Delta u$ (where $u = \ln|\vec{x}|$) @joriki: I added the missing $\sin\theta$ factor. Are you saying that I should apply Green's identity to the two integrals instead of using it to show $(\Delta u)[\phi]=u[\Delta\phi]$? Jan5 comment Minimum for this function For the "in" operator, use \in, not \epsilon. (Also what's up with the ugly sans-serif math font, did I miss something?) Dec29 comment Different notations for roots? There are simpler, less error-prone and more intuitive ways to find roots than $p,q$-formulas. I suggest that you learn those instead. Nov11 comment How do I explain 2 to the power of zero equals 1 to a child @J. M. and addition. Oct27 comment How safe is it to ignore low probability events? Risk analysis may be appropriate here. Oct6 comment Evaluating $\int_{0}^{\infty }(2e^{-3x}+4e^{-7x})^2dx$ That's the approach I would use. Oct4 comment The Expectation and the Variance of the runs Good point, although OP doesn't specify this. Oct4 comment The Expectation and the Variance of the runs Whoever downvoted me is welcome to enlighten me as to why, so I may improve this and/or any future answers. Sep9 comment Trying to derive two dimensional version of Parseval's theorem (for real valued functions) There is no such thing as the "Dirac function" — the Dirac delta is a distribution (i.e. generalized function, not probability distribution).