Does $m^*(E)=m(E\cap A)+m^*(E\cap A^c)$ always true?
19632
Intuition behind the definition of a measurable set
108084
Is it always true? $\left|A-B\right| \le \left|A\right| + \left|B\right|$
112707
Must $Q^\mathsf{T}Q = I$ if $(Qx)^\mathsf{T}(Qx) = x^\mathsf{T}x$
117387
Can we safely assume $\Psi(x,t) = \psi(x)e^{-i\omega t}$ always in QM?
122603
How does $\mathcal E(\rho)=\mathrm{Tr}_{env}[U(\rho\otimes\rho_{env})U^\dagger]$ turn into $P_0\rho P_0+P_1\rho P_1$?
145980
For every matrix $A\in M_{2}( \mathbb{C}) $ there's  $X\in M_{2}( \mathbb{C})$ such that $X^2=A$?
125348
Does $\det(A + B) = \det(A) + \det(B)$ hold?
88124
$M,N\in \Bbb R ^{n\times n}$, show that $e^{(M+N)} = e^{M}e^N$ given $MN=NM$
55680
The relationship of ${\frak m+m=m}$ to AC
35664
If $x^m=e$ has at most $m$ solutions for any $m\in \mathbb{N}$, then $G$ is cyclic
135986
Show if $a \equiv b \pmod{m}$ then $ac \equiv bc\pmod{mc}$
71717
Is this always true: $P(A|B) = 1-P(A^c|B)$?
115176
Can we say that $\left(a+b\right)^{\alpha}>a^{\alpha}+b^{\alpha}$ for all $a,b>0$ and $\alpha>1$?
53475
Let $H$ have order $m$ and $K$ have order $n$, where $m$ and $n$ are relatively prime. Then $H \cap K=\{e\}$
40604
Is this proof correct for : Does $F(A)\cap F(B)\subseteq F(A\cap B) $ for all functions $F$?
100549
If $e^A$ and $e^B$ commute, do $A$ and $B$ commute?
30923
Is the matrix $A^*A$ and $AA^*$ hermitian?