query: Why does the sum of inverse squares equal $\pi^2/6$?
positive_passages.docid: 2302
positive_passages.text: Different methods to compute $\sum\limits_{k=1}^\infty \frac{1}{k^2}$ (Basel problem)
negative_passages.docid: 46353
negative_passages.text: Proof that $\cos(\pi/3)=1/2$
negative_passages.docid: 5679
negative_passages.text: Why is $2\pi i \neq 0?$
negative_passages.docid: 58264
negative_passages.text: How to derive the formula for the sum of the first $n$ perfect squares?
negative_passages.docid: 132081
negative_passages.text: Geometrical interpretation of $(\sum_{k=1}^n k)^2=\sum_{k=1}^n k^3$
negative_passages.docid: 41191
negative_passages.text: How to prove this $\pi$ formula?
negative_passages.docid: 146333
negative_passages.text: Gaussian proof for the sum of squares?
negative_passages.docid: 34617
negative_passages.text: Number Theory: which primes are a sum of two squares?
negative_passages.docid: 3356
negative_passages.text: Why $\sum_{k=0}^m x^k $ is equal to $\dfrac{x^{m+1}-1}{x-1} $?
negative_passages.docid: 50133
negative_passages.text: The sum of odd powered real numbers equals zero implies the numbers are inverses
negative_passages.docid: 70974
negative_passages.text: How can zero divided by $i$ be $2\pi$?
negative_passages.docid: 16472
negative_passages.text: Sum of First $n$ Squares Equals $\frac{n(n+1)(2n+1)}{6}$
negative_passages.docid: 70660
negative_passages.text: Why is $\sqrt{8}/2$ equal to $\sqrt{2}$?
negative_passages.docid: 106716
negative_passages.text: The sum of square roots of non-perfect squares is never integer
negative_passages.docid: 77554
negative_passages.text: Inverse of the sum of matrices
negative_passages.docid: 109900
negative_passages.text: Why is $e^{\pi \sqrt{163}}$ almost an integer?
negative_passages.docid: 43659
negative_passages.text: Why is $\pi$ so close to $3$?