query: Just how random is $\pi$? If somehow converted to ASCII, would it contain the complete works of Shakespeare?
positive_passages.docid: 47044
positive_passages.text: Distribution of the digits of Pi
negative_passages.docid: 147363
negative_passages.text: Is $\large \frac {\pi}{e}$ rational, irrational, or trandescendal?
negative_passages.docid: 134922
negative_passages.text: Which notation and why: $\text{P}()$, $\Pr()$, $\text{Prob}()$, or $\mathbb{P}()$
negative_passages.docid: 65307
negative_passages.text: Simple combination/probability question based on string-length and possible-characters
negative_passages.docid: 151937
negative_passages.text: Physical Significance of $8\pi r$
negative_passages.docid: 3098
negative_passages.text: How are first digits of $\pi$ found?
negative_passages.docid: 658
negative_passages.text: Huffman Encoding Proof Probability and Length
negative_passages.docid: 13111
negative_passages.text: What does this $\asymp$ symbol mean? (subject: analytic number theory)
negative_passages.docid: 41191
negative_passages.text: How to prove this $\pi$ formula?
negative_passages.docid: 143054
negative_passages.text: Can you raise $\pi$ to a real power to make it rational?
negative_passages.docid: 157066
negative_passages.text: Do We Need the Digits of $\pi$?
negative_passages.docid: 45456
negative_passages.text: Do the digits of $\pi$ contain every possible finite-length digit sequence?
negative_passages.docid: 41700
negative_passages.text: Are Mersenne prime exponents always odd?
negative_passages.docid: 26154
negative_passages.text: Motivation for Ramanujan's mysterious $\pi$ formula
negative_passages.docid: 104548
negative_passages.text: Geometric proof for irrationality of $\pi$
negative_passages.docid: 121071
negative_passages.text: Calculation of $\int^{\pi/2}_{0}\cos^{n}(x)\cos (nx)\,dx$, where $n\in \mathbb{N}$
negative_passages.docid: 65300
negative_passages.text: Why is $\pi$ irrational?