this text carries out some ideas about exact and p− exact sequences of transformationsemigroups. some theorems like the short five lemma (lemma 1.3 and lemma 2.3) are valid here as inexact sequences of r − modules.

we obtain two fixed point theorems for a kind of $varphi $-contractions incomplete fuzzy metric spaces, which are applied to easily deduceintuitionistic versions that improve and simplify the recent results of x.huang, c. zhu and x. wen.

Convergence is an issue being widely concerned about. Thus, in this paper, we mainly put forward two types of concepts of convergence in mean and convergence in distribution for the sequence of uncertain random variables. Then some of theorems are proved to show the relations among the three convergence concepts that are convergence in mean, convergence in measure and convergence in distributio...

Nadine Aawar ([email protected]) Raza Alikhan ([email protected]) Daniel Bruynseels ([email protected]) Rebecca Cannings-John ([email protected]) Rachel Collis ([email protected]) John Dick ([email protected]) Christopher Elton ([email protected]) Roshan Fernando ([email protected]) Judith Hall ([email protected]) Kerry Hood (HoodK1@cardif...

we de ne approximate xed point in fuzzy norm spaces and prove the existence theorems, we also consider approximate pair constructive map- ping and show its relation with approximate fuzzy xed point.

in this paper, we investigate some problems which can be reduced to the goursat problem for afourth order equation. some results and theorems are given concerning the existence and uniqence for thesolution of the suggested problem.

the famous primary and cyclic decomposition theorems along with the tightly related rational and jordan canonical forms are extended to linear spaces of infinite dimensions with counterexamples showing the scope of extensions.

Unipotent flows are very well-behaved dynamical systems. In particular, Marina Ratner has shown that every invariant measure for such a flow is of a nice algebraic form. This talk will present some consequences of this important theorem, and explain a few of the ideas of the proof. In general, algebraic technicalities will be pushed to the background as much as possible. Eg. Let X = torus T = R...

A bottom-up approach is a promising alternative to build nanodevices and/or nanomachines starting from molecular building blocks. The idea of molecular electronics comes from a farsighted paper by Aviram and Ratner, predicting that single molecules with a donor–spacer–acceptor structure would have rectifying properties when placed between two electrodes. Today, molecular electronics is emerging...

In this paper we present an adaptive microphone array to suppress coherent as well as incoherent noise in disturbed speech signals. We use a generalized sidelobe cancelling (GSC) structure implemented in the frequency domain, because it allows a separate handling of determining the adaptive look direction response to suppress incoherent noise and adjusting the adaptive filters for cancellation ...