Editing Distance geometry (section)

=== Second problem: [[Dimensionality reduction|dimension reduction]]===
In [[data analysis]], one is often given a list of data represented as vectors <math>\mathbf{v} = (x_1, \ldots, x_n)\in \mathbb{R}^n</math>, and one needs to find out whether they lie within a low-dimensional affine subspace. A low-dimensional representation of data has many advantages, such as saving storage space, computation time, and giving better insight into data.