mathjacks
Reputation
1,470
Next privilege 2,000 Rep.
 Apr 23 revised Let $A$ be an $n \times n$ matrix over $\mathbb{C}$ or $\mathbb{R}$. Does $\det(e^A) = e^{\mathrm{tr}(A)}$ always hold? deleted 3 characters in body; edited title Mar 29 revised If $f(z)$ maps the unit disk onto itself $k$ times, prove that f(z) must be a rational function and show that the degree of its denominator $\leq k$. added 296 characters in body Feb 3 revised If $f$ is analytic in $D$ and $|f(z)| 0$ $\exists F \subset E$ closed such that $m(E \setminus F) < \epsilon$. added 8 characters in body Feb 28 revised Prove $m_*( \bigcup_{i=1}^\infty I_i ) = \sum_{i=1}^\infty \ell ( I_i )$ if $I_i \cap I_j = \emptyset \forall i,j$. added 11 characters in body Feb 17 revised Show that every measurable set $A$ can be written $A=B \cup C$ added 12 characters in body Feb 15 revised Prove $(\overline{A \cap B}) \subseteq \overline{A} \cap \overline{B}$. added 42 characters in body Feb 14 revised Show that $\,f(x) = \sum_{n=0}^\infty a_nx^n$, for $x \in [0,1]$, is of bounded variation added 18 characters in body