User:Tokenzero/sandbox/definite

$$\det G = \frac{(-1)^{n+1}}{2^n} CD$$ where CD is the Cayley-Menger determinant.


 * embeds isometrically in Hilbert space L2 iff it embeds in Rn for some n
 * " any finite metric space can be embedded into a finite-dimensional L∞ space with no distortion. Simply map each of the n points of the metric space to the n-dimensional vector of distances from all points."
 * Distance geometry -> Cayley–Menger_determinant
 * The only examples that need n+3 have n+3 points: A MENGER REDUX: EMBEDDING METRIC SPACES ISOMETRICALLY IN EUCLIDEAN SPACE.
 * For exact embeddings: Geometry and Cuts
 * For approximate embeddings: Matousek
 * For a non-matrix view of linear algebra and statements that work for general fields and rings Serge Lang
 * For functional analysis: here.
 * Applications of semidefinite programming: Anthony Man-Cho So
 * For centroid: here