Sentence examples for projection theorem from inspiring English sources

Theorem 6 (Projection theorem).

The Halmos two projection theorem says.

Hence, from the projection theorem of the Hilbert spaces ξ ^ WL ( t ) = η ( t ) a.s.s

It provides a better way to visualize the mutual computation between the measured transient signals through proper adoption of projection theorem, normalization and orthogonal matrix principles.

The new method uses a hierarchical structure to perform successive orthogonalization of the measurement noises, and drives the new algorithm based on the well-known projection theorem.

Detailed proofs of the results concerning the Bergman projection, Theorem 3 and corollary 3 below, can be found in [25].

Proofs are based among other things on new projection theorems for these classes.

The statements concerning the Cauchy Leray integral and the Cauchy Szegö projection (Theorems 1 and 2 below,and Theorem 4 in the next section) are the subject of a series of forthcoming papers; here we will limit ourselves to presenting an outline of the main points of interest in their proofs.

The famous two projections theorem for two finite rank projections will be re-proven using linear algebraic methods.

With the help of the generalized projections, theorems of strong convergence are established.

Our approach is based on the projection slice theorem relating the totally geodesic Radon transform and the Fourier transforms on symmetric spaces.