# laovultai

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# 693 Actions

 Sep5 awarded Notable Question Sep4 awarded Popular Question Sep2 awarded Popular Question Aug20 awarded Nice Question Jul15 accepted prove that $A^k$ is diagonalizable Jul15 accepted How to show that $\gcd(a,b) = ax+by \implies \gcd(x,y)=1$? Jul15 accepted How to find $\gcd(f_{n+1}, f_{n+2})$ by using Euclidean algorithm for the Fibonacci numbers whenever $n>1$? Jul15 accepted Let a|c and b|c such that gcd(a,b)=1, Show that ab|c Jul15 accepted Show that every prime $p>3$ is either of the form $6n+1$ or of the form $6n+5$ Jul15 accepted How to prove by induction that $a^{2^{k-2}} \equiv 1\pmod {2^k}$ for odd $a$? Jul15 accepted How to show that integers $x_0+\frac{m}{d}t$, $t = 0, 1,…, d-1$, are pairwise incongruent modulo m.(Hint! Antithesis.)? Jul15 accepted How do you get possible candidates for primitive roots of 12? Jul15 accepted How to solve $x^3=-1$? Jul15 accepted How to show that $f-g$ is imaginary constant in $\mathbb{D}$? Jul15 accepted How to show that if $f$ or $g$ is continuous, then the convolution $f \star g$ of those functions is continuous? Jul15 accepted How to show by example that existence of barrier function of any set $U\subset \mathbb{C}$ is dependent of its set? Jul14 accepted How you'd show that $f$ is not continuous? Jul2 awarded Curious Jul2 awarded Inquisitive Jun30 comment How to show that if möbius transformation has an inverse, then it is injective? But if you have $f(x)=x^2$(counter example) then $-1=a\neq b=1$, but still although $f$ has an inverse $f^{-1}=\sqrt{x}$, still $f(-1)=f(1)$. Am I missing something, if you know what I mean?