How does $F(\psi, \phi) = [\sum_{x}\sqrt{p(x)q(x)}]^{2}$
113272
Is the quantum state fidelity defined as $F(\rho, \sigma)=\text{tr}\sqrt{\rho^{1/2}\sigma\rho^{1/2}}$ or its square?
9753
How to solve the equation $\phi(n) = k$?
42265
A proof that $\displaystyle\sum_{i=1}^{n}P''(r_i)/P'(r_i)=0$ for a degree $n$ polynomial
63952
Disproving: If $(\Gamma\vdash(\phi\,\lor\psi))$, either $(\Gamma\vdash\phi)$ or $(\Gamma\vdash\psi)$ is true
132532
Things around $(\forall x)(\Psi \Rightarrow \Phi) \Leftrightarrow ((\exists z)\Psi) \Rightarrow \Phi)$
127047
How to show that $\sum_{i=1}^n | \langle f, f_i\rangle |^2 \leq \Vert f \Vert^2$
54473
Value of $\sum 1/p^p$
68385
Prove that $ \frac{n}{\phi(n)} = \sum\limits_{d \mid n} \frac{\mu^2(d)}{\phi(d)} $
150101
Riemann Sum of $\sqrt{x}$ with uniform partition
151111
How do I show that $\frac{n}{\varphi(n)}=\sum\limits_{d \mid n} \frac{\mu^2(d)}{\varphi(d)}$?
117681
For which Natural $n\ge2: \phi(n)=n/2$
48291
Proof that $\mathrm{ker}(f^*) = \mathrm{im}(f)^{\perp} $
21290
Meaning of $\int \phi^\dagger \hat A \psi \:\mathrm dx$
148876
What is the meaning of $\mathbf{Q}(\sqrt{2},\sqrt{3})$
142256
Polygamma function series: $\sum_{k=1}^{\infty }\left(\Psi^{(1)}(k)\right)^2$
53263
Show $\sum\limits_{d|n}\phi(d) = n$.
41876
Finding an asymptotic for the sum $\sum_{p\leq x}p^m$