Hilbert space

noun

, Mathematics.

1. a complete infinite-dimensional vector space on which an inner product is defined.

Word History and Origins

Origin of Hilbert space¹

First recorded in 1935–40; named after D. Hilbert

Example Sentences

Instead it is found in a 4-D mathematical entity called a Hilbert space.

From Scientific American

Take Hilbert space, a realm of infinite dimensions swarming with arrow-shaped abstractions called vectors.

From Scientific American

Let’s say you represent the state of an electron with a vector, V, in a Hilbert space with three axes, x, y and z.

From Scientific American

Among half a dozen pieces on particle physics are lucid explications of, for instance, the Higgs boson, Hilbert space and the Large Hadron Collider.

From Nature

“We think of flavor as an infinite-dimensional Hilbert space,” he says, referring to the mathematical concept of a complex algebraic system with an infinite number of variables.

From The Guardian