Sentence examples for valued measures from inspiring English sources

An integration theory of real valued functions with respect to Banach space valued measures is developed.

Examples of abstract duality pairs are vector valued series, spaces of vector valued measures, spaces of vector valued integrable functions, spaces of linear operators and vector valued sequence spaces.

It is well known that completely bounded Hilbert space operator valued measures correspond to the existence of orthogonal projection-valued dilations in the sense of Naimark and Stinespring, and OVMs with bounded total variations are completely bounded but not the vice-versa.

Due to the connections between probability measures and frame theory, probabilistic frames are tightly related to various notions that appeared in areas such as the theory of t-designs [20], positive operator valued measures encountered in quantum computing [21, 22], and isometric measures used in the study of convex bodies [23].

In technical language, this is a measurement associated with a POVM (positive operator valued measure).

* MMSE= Mini Mental State Examination (valued measured < 1 year ago).

The NUSE values measure precision of estimation of expression values.

A nonlocal continuous unitary transformation is explicitly constructed and the associated positive operator-valued measures for the photons and atom are obtained.

The interplay between the invariant subspace theory and spectral synthesis for locally compact abelian group discovered by Arveson (Ann. of Math. (2) 1974(197433433) is extended to include other topics as harmonic analysis for Varopoulos algebras and approximation by projection-valued measures.

The r_squared value measures how accurately this line describes the original data.

Gambetta and Wiseman (2003, 2004) developed a dynamical modal account in the form of a non-Markovian process with noise, also extending their approach to positive operator-valued measures (POVMs).