query: How to prove this formula
positive_passages.docid: 21855
positive_passages.text: Prove $\sum_{n=1}^{\infty}\arctan{\left(\frac{1}{n^2+1}\right)}=\arctan{\left(\tan\left(\pi\sqrt{\frac{\sqrt{2}-1}{2}}\right)\cdots\right)}$
negative_passages.docid: 107433
negative_passages.text: Prove the sum to n terms of the series
negative_passages.docid: 53899
negative_passages.text: Proof of the Sherman-Morrison Formula
negative_passages.docid: 24785
negative_passages.text: How prove this equation $\alpha=\aleph_{0}\alpha$
negative_passages.docid: 68116
negative_passages.text: How to derive this version of variance formula
negative_passages.docid: 7003
negative_passages.text: Inductive proof of a formula for Fibonacci numbers
negative_passages.docid: 1932
negative_passages.text: How to show this equality of $\rho(X,Y)$
negative_passages.docid: 24656
negative_passages.text: Proving that $\frac{\csc\theta}{\cot\theta}-\frac{\cot\theta}{\csc\theta}=\tan\theta\sin\theta$
negative_passages.docid: 103501
negative_passages.text: Question about a normal equation proof
negative_passages.docid: 27001
negative_passages.text: How to calculate the following sum:
negative_passages.docid: 72157
negative_passages.text: Elementary proof of tangent half angle formula
negative_passages.docid: 105406
negative_passages.text: Proof of Stirling's Formula using Trapezoid rule and Wallis Product
negative_passages.docid: 147005
negative_passages.text: Prove two identities relating to series
negative_passages.docid: 75279
negative_passages.text: Reversing the $T(n) = \frac{n(n+1)}{2}$ formula
negative_passages.docid: 123820
negative_passages.text: Guess the formula for $\sum\frac 1{(4n-3)(4n+1)}$ and prove by induction
negative_passages.docid: 18473
negative_passages.text: Proof for the formula of sum of arcsine functions $ \arcsin x + \arcsin y $
negative_passages.docid: 122149
negative_passages.text: How to prove that $\sum_{i<j}(X_i-X_j)^2=n\sum_{i=1}^{n}(X_i-\bar{X})^2$