Introduction
Several days ago SAP released "SAP HANA Cloud's Vector Engine" which is essentially a database that stores finite dimensional vectors that represent real worlds objects. Furthermore these kind of databases have built-in functions in order to calculate certain relations between the stored vectors. The vectors are the result of a so called embedding, which means that each real worlds object is "embedded" into a finite dimensional vector space in a certain way. The embedding itself depends on the purpose of the usage of the vectors and is not uniquely determined. For example all orthogonal transformations preserve the inner structure of the embedding. (Note that this is not an embedding in the mathematical sense, which is a one to one differentiable mapping between vector spaces that is locally invertable).