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 Apr22 comment Diagonal decomposition, square root and eigenvector / eigenvalue of a matrix assuming this matrix is even diagonalizable, to get $V$ and $D$ you need to already know the eigenvalues and eigenvectors, or you could just find $V$ and $D$ using computational software, otherwise I would suggest doing $Det(\lambda I - A)$ and seeing if you can factor the cubic. Apr21 comment Math: A discovery or a creation? why is this tagged as number theory? Apr21 comment Math: A discovery or a creation? a discovery -plato Apr17 comment Uniformly distributed independent random Variables make a double integral $\int\int f(x)g(y)dxdy$ what are the bounds? what is $f(x)$ and $g(y)$? I suppose you'll need to use the fact that $P(a|b) = P(a,b)/P(b)$ as well Mar31 comment What is the $x$-intercept for $\frac{2x^2}{x^2-1} = 0$ no, I'm referring to multiplying both sides by the denominator of the fraction $x^2 + 1$ Mar31 comment What is the $x$-intercept for $\frac{2x^2}{x^2-1} = 0$ clearing denominators is a common theme in algebraic simplification Mar31 comment What is the $x$-intercept for $\frac{2x^2}{x^2-1} = 0$ because you can just multiply both sides by the denominator and it disappears. Mar31 comment What is the $x$-intercept for $\frac{2x^2}{x^2-1} = 0$ what you have in your title is the equation you need to solve to find the x-intercepts, so just solve that equation, and you'll have them. Jan3 comment Function on convex set is convex if all rays are convex skeptical that it's true? Jan3 comment Function on convex set is convex if all rays are convex I know you can't for a general domain $D$, but if we assume that $D$ is open and convex I was wondering if you could. Apr9 comment Prove or Disprove that $\left|\frac{e^{2i\theta} -2e^{i\theta} - 1}{e^{2i\theta} + 2e^{i\theta} -1}\right| = 1$ @ Pedro Tamaroff: I remember those times fondly when you pooped on my chest =) Apr8 comment Using the Residue Theorem for a contour integral along the Riemann sphere I'm busy nuttin', and she still suckin' Mar30 comment Limit of infinite loops of sin x as n tends to infinity Maybe use the fact that for $x\neq0$, $|\sin(x)|<|x|$. Also that $\sin(x)$ is strictly monotonically increasing on $[-1,1]$. Mar11 comment Prove the set of sequences $c_0$ which converge to zero in $l_{\infty}$ is closed. you're right I mis-typed it, I'll fix. Mar11 comment Prove the set of sequences $c_0$ which converge to zero in $l_{\infty}$ is closed. damn that's slick. Jan29 comment Prove this matrix is invertible for $n < m-1$ awesome answer, thanks. Nov3 comment Singularities in (Elementary) Real Algebraic Geometry The cubic is $y^3+2y^2+y+(v-u^2)=0$, the roots will be $functions$ of $u$ and $v$, that's what I'm after, so that I can prove that $f(x,y)=(u(x,y),v(x,y))=(x,x^2-(y+1)^3+(y+1)^2)$ has an inverse which is analytic. Nov3 comment Singularities in (Elementary) Real Algebraic Geometry I'm having trouble understanding. Solving $v=f(u,y)$ for $y$ will give me 3 roots, each a function of $u$ and $v$, I should expect that one of these roots is a real analytic function in a nbhd of $(0,0)$, correct? Oct5 comment Prove that $\frac{d}{dx}\int_0^xf(x,y)dy = f(x,x)+\int_0^x\frac{\partial}{\partial x}f(x,y)dy$ super slick! =o Sep25 comment Let $b_n$ decrease monotonically to zero, prove $\sum b_nz^n$ converges for $|z|\leq 1$ and $z\neq 1$ @njguliyev oh nice, that does it right there, thanks.