Emanuele Paolini
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 Jan8 revised Why do some accept zero as a natural number but others don't? added 1149 characters in body Jan8 revised Why do some accept zero as a natural number but others don't? added 1149 characters in body Jan8 revised Why do some accept zero as a natural number but others don't? added 4 characters in body Jan7 answered Why do some accept zero as a natural number but others don't? Dec27 answered Property of distance and adherence Dec27 comment Prove that limit inferior is same as limit superior for a convergent sequence I've corrected it. I was sure my translation from italian was not good... Dec27 revised Prove that limit inferior is same as limit superior for a convergent sequence edited body Dec26 comment Differential geometry problem about curves I think it is the plane containing the tangent vector and the curvature vector. Dec26 revised Differential geometry problem about curves texified Dec26 comment If $f'(z_0)\neq 0$ then $f$ is one to one on some open disk $D_r(z_0)$ $\varphi(z) = g(z,z_0)$ in @Donald_Edwards answer. In fact in his answer you find $f(z)\neq f(z_0)$ and you should complete the reasoning by also varying $z_0$... which is not completely trivial. Dec26 answered If $f'(z_0)\neq 0$ then $f$ is one to one on some open disk $D_r(z_0)$ Dec26 answered Prove that limit inferior is same as limit superior for a convergent sequence Dec26 answered Build a bijection $f: \mathbb{Q} \to \mathbb{Q}\setminus[0,1].$ Dec13 comment Hypothetical contradiction to Bolzano-Weierstrass This works with every number, it is not required that the number is irrational. The digits can be 0... so some digit will repeat infinitely many times. Dec10 accepted moebius transforms preserve sum of signed curvatures Dec9 answered how many distinct real zeros a function has Dec6 revised Show all roots of $\sum_{k=0}^n 2^{k(n-k)} x^k$ are real (December 6, 2014 Putnam problem) deleted 8 characters in body Dec1 comment find the slope and intercepts of the line The same method applies to b). You need to solve for $y$. Dec1 comment How to simplify / combine function equtions containing if? There is not a unique way to simplify a function. For most purpouses the expression you have is the best way to express the function. Why you need a simplification? What's your goal? Nov30 answered Finding $\lim_{x\rightarrow 1}\sqrt{x-\sqrt{x-\sqrt{x-\sqrt{x…}}}}$