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Apr
14
answered Ring homomorphism from $M_3(\mathbb{R})$ into $\mathbb{R}$
Apr
14
answered How to find the Dual space
Apr
14
comment Uniqueness of solution
$f(t,x) = 1 + x^2$ is locally Lipschitz in $x$, not globally. Yes, that is the reason.
Apr
14
comment What is An Image (of the Riemann Sphere)?
Presumably $f$ was supposed to be evident from the context. I suspect it's the inverse of stereographic projection from the north pole.
Apr
14
answered Does $\{y\in \mathbb{R}^n:\operatorname{rank}((x,y,Ay))=2\}$ have zero Lebesgue measure?
Apr
14
comment Does $\{y\in \mathbb{R}^n:\operatorname{rank}((x,y,Ay))=2\}$ have zero Lebesgue measure?
The $n \times 3$ matrix $(x, y, Ay)$ has rank $\le 2$ iff the determinant of every $3 \times 3$ submatrix is $0$. These determinants are continuous functions of $y$.
Apr
14
answered Uniqueness of solution
Apr
14
answered Estimate on rate of growth of a power series
Apr
14
answered Does convexity of the distribution function imply convexity of the density function?
Apr
14
comment How can you derive $\sin(x) = \sin(x+2\pi)$ from the Taylor series for $\sin(x)$?
What are you using for a definition of $\pi$?
Apr
14
answered I have to show $p(x-\lambda)$ is an irreducible monic poynomial.
Apr
14
answered A polynomial in $g$ approximates every $f$ iff $g$ is injective
Apr
14
answered Convergence of series involving the prime numbers
Apr
14
answered ODE arising in physics
Apr
13
answered Cantor-like subset on a set of positive measure
Apr
13
answered Prove that if a set H has only one limit point, then it is countable.
Apr
13
answered System of equations with radicals
Apr
13
answered how to solve $\sin\theta+\sqrt{3}\cos\theta=-\sqrt{3}\;$ for $\;\theta\;$ when $\;0^\circ\leq\theta<360^\circ$
Apr
13
revised A uniqueness problem to ODE (Picard-Lindelof or Cauchy-Lipschitz)
added 1 character in body
Apr
13
answered How can I solve this system of linear different equations?