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Dec
27
answered Property of distance and adherence
Dec
27
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...
Dec
27
revised Prove that limit inferior is same as limit superior for a convergent sequence
edited body
Dec
26
comment Differential geometry problem about curves
I think it is the plane containing the tangent vector and the curvature vector.
Dec
26
revised Differential geometry problem about curves
texified
Dec
26
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.
Dec
26
answered If $f'(z_0)\neq 0$ then $f$ is one to one on some open disk $D_r(z_0)$
Dec
26
answered Prove that limit inferior is same as limit superior for a convergent sequence
Dec
26
answered Build a bijection $f: \mathbb{Q} \to \mathbb{Q}\setminus[0,1].$
Dec
13
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.
Dec
10
accepted moebius transforms preserve sum of signed curvatures
Dec
9
answered how many distinct real zeros a function has
Dec
6
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
Dec
1
comment find the slope and intercepts of the line
The same method applies to b). You need to solve for $y$.
Dec
1
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?
Nov
30
answered Finding $\lim_{x\rightarrow 1}\sqrt{x-\sqrt{x-\sqrt{x-\sqrt{x…}}}}$
Nov
30
comment Continuity of addition under the lower limit topology
i've corrected it...
Nov
30
revised Continuity of addition under the lower limit topology
corrected
Nov
30
revised The infinite sum of the reciprocal of a strictly increasing sequence is irrational if we place a limiting condition on the se quence itself
added 377 characters in body
Nov
30
answered The infinite sum of the reciprocal of a strictly increasing sequence is irrational if we place a limiting condition on the se quence itself