query: Relations of numbers or geometric distances.
positive_passages.docid: 143054
positive_passages.text: Can you raise $\pi$ to a real power to make it rational?
negative_passages.docid: 119779
negative_passages.text: Sequences of arithmetic and geometric mean
negative_passages.docid: 121469
negative_passages.text: Proof of observations on natural numbers being expressed as differences of squares.
negative_passages.docid: 45444
negative_passages.text: Distance between two vectors: Vector Calculus
negative_passages.docid: 111656
negative_passages.text: Estimation of the expected Euclidean distance between two random points on a unit $n$-hemisphere
negative_passages.docid: 99417
negative_passages.text: An inequality about the sum of distances between points : same color $\le$ different colors?
negative_passages.docid: 147961
negative_passages.text: Characterizing simply connected spaces
negative_passages.docid: 73323
negative_passages.text: Permutations when some objects are alike
negative_passages.docid: 65910
negative_passages.text: Reflexivity of equivalence relations
negative_passages.docid: 125174
negative_passages.text: Combinatorial intuition of identity
negative_passages.docid: 132158
negative_passages.text: Commas separating adjectives to describe mathematical objects.
negative_passages.docid: 69043
negative_passages.text: The equivalence relation generated by a relation
negative_passages.docid: 111042
negative_passages.text: A geometry problem from high school Olympiad selection round
negative_passages.docid: 54685
negative_passages.text: Defining metrics as a function to something other than the reals.
negative_passages.docid: 137881
negative_passages.text: A not complete metric space?
negative_passages.docid: 109093
negative_passages.text: Meaning and types of geometry
negative_passages.docid: 65492
negative_passages.text: Basic Geometric Series