query: Probability of a dot in a square to have larger distance from sides compared to distance with diameter
positive_passages.docid: 142692
positive_passages.text: Point inside a square
negative_passages.docid: 30625
negative_passages.text: Does the square or the circle have the greater perimeter? A surprisingly hard problem for high schoolers
negative_passages.docid: 91446
negative_passages.text: Average arc length of a uniformly distributed points
negative_passages.docid: 23203
negative_passages.text: Euclidean distance proof
negative_passages.docid: 129721
negative_passages.text: Expected value of the distance between 2 uniformly distributed points on circle
negative_passages.docid: 88496
negative_passages.text: Out of 6 points in the interior of a square of sidelength 3, two are at distance less than 2
negative_passages.docid: 14390
negative_passages.text: Probability that $X \ge Y$ given N rolls on a d20
negative_passages.docid: 58953
negative_passages.text: Area of intersection between 4 circles centered at the vertices of a square
negative_passages.docid: 99257
negative_passages.text: Dot Product Intuition
negative_passages.docid: 33427
negative_passages.text: Why is Euclidean distance not a good metric in high dimensions?
negative_passages.docid: 55766
negative_passages.text: Radius of a circle touching a rectangle both of which are inside a square
negative_passages.docid: 98435
negative_passages.text: Probability that a triangle can be formed from a permutation of three edges of random length
negative_passages.docid: 152107
negative_passages.text: Classic Circle and Adjacent Arrangement Problem
negative_passages.docid: 133848
negative_passages.text: Probability that 2 appears at an earlier position than any other even number in a permutation of 1-20
negative_passages.docid: 156561
negative_passages.text: Minimizing distance between an ellipse and a point
negative_passages.docid: 157137
negative_passages.text: Expected distance between two points inside unit circle
negative_passages.docid: 111656
negative_passages.text: Estimation of the expected Euclidean distance between two random points on a unit $n$-hemisphere