This is just one of many ways to construct the projection operator.

In this case we have a generalized projection operator on the new space of states.

This may be done through the use of the grade projection operator:

Here E can be understood to be a projection operator.

For one basis function, projection operator training reduces to Newton's method.

Let be the projection operator into the space .

The projection operator P is of special significance.

This is a projection operator on the tensor product "history Hilbert space"

There will be a projection operator mapping onto .

The identity map and the scalar projection operator are outermorphisms.

The Lowdin projection operator formalism may be used to find the coefficients.

The projection operator is constructed with the aid of the character table of the molecular point group.

That is, the class implements a projection operator.

This again is reasonable, as projection operators give the appropriate mathematical description of quantum measurements.

A physical proposition about the system at a fixed time can be represented by a projection operator on (See quantum logic).

This motion is then formally solved using the Zwanzig–Feshbach projection operator method.

The Zwanzig projection operator is a mathematical device used in statistical mechanics.

The projection operator projects onto the aforementioned relevant part, for which an equation of motion is to be derived.

This definition can be extended to define projection operators that represent inhomogeneous histories too.

More specifically, it is a discrete and exact version of the Radon transform, thus a projection operator.

Furthermore assume we have a Hermitian projection operator .

With the help of Zwanzig's projection operator formalism, a new simple computational procedure is developed.

The weights are trained with projection operator training:

It turns out that it is possible to obtain a similar result on the basis of a set of only 18 projection operators.

More generally, we write the right-handed and left-handed states as a projection operator acting on a spinor.