query: Proof maximum number of equidistant points for a given dimension
positive_passages.docid: 24323
positive_passages.text: n points can be equidistant from each other only in dimensions $\ge n-1$?
negative_passages.docid: 37331
negative_passages.text: Prove that every set with more than one element has a permutation without fixed points
negative_passages.docid: 51735
negative_passages.text: Mean distance from origin after $N$ equal steps of Random-Walk in a $d$-dimensional space.
negative_passages.docid: 45751
negative_passages.text: Expectation of the maximum of i.i.d. geometric random variables
negative_passages.docid: 33454
negative_passages.text: Distance from a point to a plane in normed spaces
negative_passages.docid: 84791
negative_passages.text: Is every connected metric space with at least two points uncountable?
negative_passages.docid: 115801
negative_passages.text: Show that four points given by vectors lay on a circle
negative_passages.docid: 46469
negative_passages.text: $n$ Lines in the Plane
negative_passages.docid: 65230
negative_passages.text: Expressing points in fractional dimensions?
negative_passages.docid: 69777
negative_passages.text: Show that, for every metric $d$, the metrics $d/(1+d)$ and $\min\{1,d\}$ are equivalent
negative_passages.docid: 53861
negative_passages.text: N points on a Circle
negative_passages.docid: 6785
negative_passages.text: Equicontinuity on a compact metric space turns pointwise to uniform convergence
negative_passages.docid: 109767
negative_passages.text: Prove that three points are enough to draw/define one and only one circle
negative_passages.docid: 83449
negative_passages.text: Proof with 3D vectors
negative_passages.docid: 45510
negative_passages.text: Number of vertices present in all maximum matchings
negative_passages.docid: 28191
negative_passages.text: How to show that a set of discontinuous points of an increasing function is at most countable
negative_passages.docid: 73832
negative_passages.text: How to find the maximum diagonal length inside a dodecahedron?