# Questions tagged [distance-geometry]

The distance geometry flag is intended for questions that are concerned with definitions based on constructions from distances; most prominently Cayley-Menger determinants and the reconstruction of point locations from an incomplete set of distance measurements as described in this article: http://www.lix.polytechnique.fr/~liberti/dgp-siam.pdf

3 questions
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### Metric conversion in trees?

Say you have a balanced binary decision tree with depth $L$ and we know the sequence $p_1$ of $0/1$ decisions we need to make from root to one of the leaves $\ell_1$. This $0/1$ string is what I call ...
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### DIstance on a Riemannian manifold [closed]

Given a Riemannian manifold $(M,g)$ is it possible to calculate the distance between two points on this manifold. Is it possible the inverse? That means: given a formula of the distance, for example: ...
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### Checking Planar Convexity of 4 Points with Stewart's Formula

Is the following conjecture correct? Conjecture: If $A,B,C,D$ are four points in general position in the euclidean plane, with $a:=\|C-B\|,\ \ b:=\|C-A\|,\ \ c:=\|B-A\|$ \$a':=\|D-A\|,\...