A universal property for sequential measurement

A universal property for sequential measurement

The following full text is a preprint version which may differ from the publisher's version. We study the sequential product GN01,GG02,GG05 , the operation p * q = √ pq √ p on the set of effects, [0, 1] A , of a von Neumann algebra A that represents sequential measurement of first p and then q. In GL08 Gudder andLatémolì ere give a list of axioms based on physical grounds that completely determ...

Mani and shapur a universal faith for e universal kingdom

A universal algorithm for sequential data compression

A universal algorithm for sequential data compression is presented. Its performance is investigated with respect to a nonprobabilistic model of constrained sources. The compression ratio achieved by the proposed universal code uniformly approaches the lower bounds on the compression ratios attainable by block-to-variable codes and variable-to-block codes designed to match a completely specified...

Universal Approximator Property of the Space of Hyperbolic Tangent Functions

In this paper, first the space of hyperbolic tangent functions is introduced and then the universal approximator property of this space is proved. In fact, by using this space, any nonlinear continuous function can be uniformly approximated with any degree of accuracy. Also, as an application, this space of functions is utilized to design feedback control for a nonlinear dynamical system.

Property ( T ) for Noncommutative Universal Lattices

We establish a new spectral criterion for Kazhdan’s property (T ) which is applicable to a large class of discrete groups defined by generators and relations. As the main application, we prove property (T ) for the groups ELn(R), where n ≥ 3 and R is an arbitrary finitely generated associative ring. We also strengthen some of the results on property (T ) for Kac-Moody groups from [DJ].