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 Apr 28 revised Dimension of Algebraic Variety added latex. Apr 28 revised Proving a pseudo prime fixed latex. Apr 28 suggested approved edit on Dimension of Algebraic Variety Apr 28 suggested approved edit on Proving a pseudo prime Apr 27 comment How to derive this identity: $\lim _{x\to \infty} (1 + f(x))^{\frac{1}{g(x)}} = \mathrm e^{\lim_{x \to \infty} \frac{f(x)}{g(x)}}$ If $f(x)=1$ and $g(x)=1$ then the LHS goes to $2$ and the RHS goes to $e$... I don't think this is true in general. Apr 27 comment Necessity of Differential Forms Not entirely an answer to your question (it doesn't answer the importance in analysis) but for a more intuitive explanation, Tao gives an introduction to differential forms here: math.ucla.edu/~tao/preprints/forms.pdf and argues the algebraic laws of the differential forms derive from a roughly speaking more intuitive, what I would describe as: "infinitesimal geometry". Apr 26 asked How is the Alexander polynomial computed from the Alexander quandle? Apr 22 comment f(x) is a function such that $\lim_{x\to0} f(x)/x=1$ You really shouldn't assume $f(x)$ is $\sin(x)$ because you have not shown that $a$ and $b$ are unique and irrespective of $f(x)$. Apr 22 revised f(x) is a function such that $\lim_{x\to0} f(x)/x=1$ Improved latex. Apr 22 suggested approved edit on f(x) is a function such that $\lim_{x\to0} f(x)/x=1$ Apr 11 revised How to prove $|x-y|\le \delta\lor |x^2-y^2|\gt \epsilon$ with the following condition? Uses more standard epsilon and delta as opposed to e and d. Apr 11 suggested approved edit on How to prove $|x-y|\le \delta\lor |x^2-y^2|\gt \epsilon$ with the following condition? Apr 10 revised Solve the PDE $\frac{\partial u}{\partial t}+\frac{\partial u}{\partial x}=x$ using Laplace transform in $t$ added latex. Apr 10 suggested approved edit on Solve the PDE $\frac{\partial u}{\partial t}+\frac{\partial u}{\partial x}=x$ using Laplace transform in $t$ Mar 22 revised Finding the value of a trigonometric function given the value of $\tan(\alpha)\tan(\beta)$ Converted stuff to latex. Mar 22 suggested approved edit on Finding the value of a trigonometric function given the value of $\tan(\alpha)\tan(\beta)$ Mar 17 comment Terry Tao, Russells Paradox, definition of a set Although it is related to lazy evaluation, I believe (although I could be wrong), as EJP has mentioned, short circuiting is a better term to describe this. The main reason being that lazy evaluation is much larger in scope and has further applications beyond this example. It refers to not computing values until they are needed, whereas short circuiting specifically refers to not computing values because they are unneeded. Feb 23 comment Prove that zero multiplied by zero is equal to zero. @ruakh: Oh yes, that's probably it: I'm thinking of fields. Feb 23 awarded Revival Feb 23 awarded Yearling