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 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 Mar 28 comment Basic problem about measurable sets I misread your question Mar 22 revised When does $az + b\bar{z} + c = 0$ represent a line? Conditions are just enough. Mar 21 comment Is continuous and integrable function bounded? It's bounded almost everywhere. Mar 21 revised Is continuous and integrable function bounded? English Mar 15 awarded Yearling Mar 12 comment Let $A^{774}=0$. Show that if $t$ is an eigenvalue of $A$, then $t=0$ Hint: minimal polynomial. Mar 8 comment Show that a finite group with certain automorphism is abelian Thanks to @Vignesh Manoharan for adding the source. Mar 8 revised Show that a finite group with certain automorphism is abelian Adding source. Mar 3 comment Group theory, quotient groups? Part of the question is answered here. For the rest, hint: first isomorphism theorem.