Showing $\Delta(\Omega^p M)=d(\Omega^{p-1}M)\oplus \delta(\Omega^{p+1}M)$
132586
Solvability of Poisson's equation for $p$-forms directly from Hodge decomposition
139151
How to prove $\left\{ \omega|X(\omega)=Y(\omega)\right\} \in\mathcal{F}$ is measurable, if $X$ and $Y$ are measurable?
46746
How to prove if $u\in W^{1,p}$, then $|u|\in W^{1,p}$?
131251
Picking a $\delta$ for a convenient $\varepsilon$?
132873
Understanding Epsilon-Delta Proof
94558
Show that $\phi(mn) = \phi(m)\phi(n)\frac{d}{\phi(d)}$
27086
proof for $\langle q| p \rangle = e^{ipq}$
76188
Show $(W_1 + W_2 )^\perp = W_1^\perp \cap W_2^\perp$ and $W_1^\perp + W_2^\perp ⊆ (W_1 \cap W_2 )^\perp$
43462
Disprove $\mathcal{P}(A\Delta B) \setminus \{\emptyset\} = \mathcal{P}(A) \Delta\mathcal{P}(B) $. Is my proof good?
150896
Show that $\lim_{p \to \infty} \| f \|_p = \| f \|_\infty$
59518
MLE of $\delta$ for the distribution $f(x)=e^{\delta-x}$ for $x\geq\delta$.
126736
Show that $\lim_{\epsilon\to0^{+}}\frac{1}{2\pi i}\int_{\gamma_\epsilon}\frac{f(z)}{z-a} \, dz=f(a)$
29198
How to prove the following inequality $|\prod_{i=1}^{i=n}a_i-\prod_{i=1}^{i=n}b_i| < n\delta$?
151607
Show that  $A\Delta B = C$ if and only if $A = B\Delta C$
147888
Show that $M=\bigcap_{\mathfrak{p}\in\operatorname{Spec}(R)}M_\mathfrak{p}=\bigcap_{\mathfrak{m}\in\text{Max}(R)}M_\mathfrak{m}$ for certain $M$.
45304
How to prove that the derivative of Heaviside's unit step function is the Dirac delta?
120010
Show that $\aleph_{\alpha}^{\aleph_{1}} = \aleph_{\alpha}^{\aleph_{0}}\cdot 2^{\aleph_1}$