$\sup_{0 \leq M \leq I_{\mathcal{H}_1}} \frac{Tr[\rho M]}{Tr[\sigma M]}$ satisfies DPI
132595
$\sup_{0 \leq M \leq I_{\mathcal{H}_1}} \frac{\operatorname{Tr}[\rho M]}{\operatorname{Tr}[\sigma M]}$ satisfies Data Processing Inequality
157322
Translation invariant measures on $\mathbb R$.
37283
Show that $\frac{X-\mu}{\sigma}\sim N(0,1)$ using moment functions
56958
bounding a $C^1$ function that upholds $f'(t)\leq 1-f(t)^2$
69777
Show that, for every metric $d$, the metrics $d/(1+d)$ and $\min\{1,d\}$ are equivalent
27347
Verify that $\left|\int_{\gamma} \exp(iz^2)dz\right| \leq \frac{\pi\big(1-\exp(-r^2)\big)}{4r}$ where $\gamma(t)=re^{it}$, for $0\leq t \leq \pi/4$.
144357
Choose $\rho$ such that $\rho$-norm minimizes the matrix condition number
101474
Markov/Chebychev inequality
98098
Show that $\mu_{F}$ is a measure on $(\mathbb{R},\mathcal{S})$.
124335
An identity for Fourier transform of measure
148753
Quantum Stat-Mech Proof of an Inequality for the Partition Function
155311
How to get a set $E$ such that $0<\mu(E\cap I)<\mu(E)$ for all interval $I$?
138959
On the equality case of the Hölder and Minkowski inequalities
62958
Maximize $\mathrm{tr}(Q^TCQ)$ subject to $Q^TQ=I$
130537
Proving that $d(f,g)=\|f-g\| = \sup \limits_{0\leq x \leq 1} |f(x)-g(x)|$ is a metric on $X=C[0,1]$
67106
Projection on the hyperplane $H: \sum x_i=0$
65840
Norm induced by metric