query: Simplify the system to find the $\theta$, $\phi$ on bloch sphere
positive_passages.docid: 49090
positive_passages.text: How can I find the $\theta$ and $\phi$ values of a qubit on the Bloch sphere?
negative_passages.docid: 37060
negative_passages.text: The Parallelogram Identity for an inner product space
negative_passages.docid: 26113
negative_passages.text: Proving the functional equation $\theta (x) = x^{-\frac{1}{2}} \theta (x^{-1})$ from the Poisson summation formula
negative_passages.docid: 95637
negative_passages.text: Justifying Calculations on $f(n)=\frac{1}{2 \pi}\int_{-\pi}^{\pi}\theta e^{-in \theta} d \theta$
negative_passages.docid: 94558
negative_passages.text: Show that $\phi(mn) = \phi(m)\phi(n)\frac{d}{\phi(d)}$
negative_passages.docid: 112901
negative_passages.text: Matrix on complex field.
negative_passages.docid: 42531
negative_passages.text: Calculating commutators in quantum mechanics symbolically with the help of Mathematica
negative_passages.docid: 137982
negative_passages.text: Show that $\textbf{ZF}$ shows $\phi$ is $\Delta_1$
negative_passages.docid: 8928
negative_passages.text: How to derive the standard symplectic form on a 2-sphere in cylindrical polar coordinates?
negative_passages.docid: 106050
negative_passages.text: Finding a conformal map from the intersection of two disks to the unit disk.
negative_passages.docid: 157946
negative_passages.text: Elementary derivation of certian identites related to the Riemannian Zeta function and the Euler-Mascheroni Constant
negative_passages.docid: 56433
negative_passages.text: Volume form on $(n-1)$-sphere $S^{n-1}$
negative_passages.docid: 65873
negative_passages.text: A proof for Atiyah-Macdonald Exercise I.21.iii
negative_passages.docid: 114411
negative_passages.text: Simple Proof of the Euler Identity $\exp{i\theta}=\cos{\theta}+i\sin{\theta}$
negative_passages.docid: 104982
negative_passages.text: Determine $\phi(2^{399}+1)$
negative_passages.docid: 55869
negative_passages.text: Use the Maclaurin series to prove that $e^{i\theta} = cos(\theta) + isin(\theta)$
negative_passages.docid: 118346
negative_passages.text: Normalizing the solution to free particle Schrödinger equation