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answered Why is every conformal bijection between disks a linear fractional transformation?
Jul
1
comment Prove that if $a,b \in \mathbb{R}$ and $|a-b|\lt 5$, then $|b|\lt|a|+5.$
This answer does contain enough detail.
Jul
1
revised Integration of powers of the $\sin x$
English
Jun
29
comment Roots of Legendre Polynomial
Roots are simple
Jun
23
comment $z_0$ non-removable singularity of $f\Rightarrow z_0$ essential singularity of $\exp(f)$
Regarding your explanation that if $z_0$ is a pole of then it's an essential singularity of $e^f$, you claim that the image of some open disk contains the complement of a disk. The definition of being a pole implies that the image of some disk is contained in the complement of a disk, I fail to see the inclusion in the other direction. How do you find a disk, such that any $z$ outside has a preimage?
Jun
2
comment Winding number of a point outside the curve is 0
Cauchy's Theorem for an open disk is enough here.
Jun
2
revised Winding number of a point outside the curve is 0
Fixing title. TeXing
May
18
revised Does the set of differences of a Lebesgue measurable set contains elements of at most a certain length?
added 3 characters in body
May
14
answered Why is a Möbius transform uniquely determined based on known mappings of three points?
May
12
comment Sum of distances for vertices lying on a circle
Ahlfors's Complex Analysis, Exercise 3, page 80.
May
12
revised Is Lipschitz's condition necessary for existence of unique solution of an I.V.P.?
edited body
May
12
comment Is Lipschitz's condition necessary for existence of unique solution of an I.V.P.?
To your first question: that problem, for $x\in[0,1]$ that problem is equivalent to two IVP. To your second question there's a typo I'm about to correct.
May
10
revised Is Lipschitz's condition necessary for existence of unique solution of an I.V.P.?
added 426 characters in body
May
10
answered Is Lipschitz's condition necessary for existence of unique solution of an I.V.P.?
May
4
revised Compute $\lim\limits_{n\to \infty}\frac{\prod\limits_{k=1}^{n}a_k}{2^n}$
Formatting
Apr
27
comment Consider the equation: $x' = f(t,x)$. Prove that there is a two-way correspondence between the initial and the limits of the solutions.
It doesn't matter. There's no problem in posting the original problem in portuguese. Which limits and which initial? Initial conditions, and limits at infinity?
Apr
27
comment Consider the equation: $x' = f(t,x)$. Prove that there is a two-way correspondence between the initial and the limits of the solutions.
Hello! Can you please be more precise about what is the meaning of a "two-way correspondence between the initial and the limits of the solutions"? If you have an screenshot or a pic of the problem in its original source, it might be helpful to post it here :-)
Apr
17
comment Show that the set of isolated points of $S$ is countable
Look at Theorem 4 in here
Apr
9
revised (Edited Duplicate) Let $(x_{n_n})$ be a sequence of positive real number that has no convergent subsequence. Show lim $x_n$ = +$\infty$
deleted 2 characters in body; edited title