span(A₁, . . . ,An) denotes the linear space spanned by Hilbert space operators A₁, . . . ,An. It is known that if span (A, B) consists of normal operators, then A, B commute. Let MI denote the set of ...

Let P and Q be two idempotents on a Hilbert space. In this note, we prove that the invertibility of the linear combination $\lambda_{1}P + \lambda_{2}Q$ is independent of the choice of $\lambda_{i}$, ...

Businesspeople need to demand more from machine learning so they can connect data scientists’ work to relevant action. This requires basic machine learning literacy — what kinds of problems can ...

Canonical discriminant analysis is a dimension-reduction technique related to principal component analysis and canonical correlation. Given a classification variable and several interval variables, ...