in this paper we get some results and applications for duals and approximate duals of g-frames in hilbert spaces. in particular, we consider the stability of duals and approximate duals under bounded operators and we study duals and approximate duals of g-frames in the direct sum of hilbert spaces. we also obtain some results for perturbations of approximate duals.

Approximate computing is a research area where we investigate a wide spectrum of techniques to trade off computation accuracy for better performance or energy consumption. In this work, we provide a general introduction to approximate computing. Also, we propose a taxonomy to make it easier to discuss the merits of different approximation techniques. Our taxonomy emphasizes the expected cost of...

I calculate the top quark forward-backward asymmetry at the Tevatron in both the laboratory frame and the tt̄ rest frame. I show that soft-gluon corrections are the dominant contribution to the asymmetry and closely approximate exact results through next-tonext-to-leading order (NNLO). I present a calculation of the asymmetry including approximate next-to-next-to-next-to-leading-order (N3LO) sof...

This paper presents an application of Approximate Entropy (ApEn) and Sample Entropy (SampEn) in the analysis of heart rhythm, blood pressure and stroke volume for the diagnosis of vasovagal syndrome. The analyzed biosignals were recorded during positive passive tilt tests—HUTT(+). Signal changes and their entropy were compared in three main phases of the test: supine position, tilt, and pre-syn...

The performance of a type of fuzzy sliding mode control is researched by considering the nonlinear characteristic of a missile-target interception problem to obtain a robust interception process. The variable boundary layer by using fuzzy logic is proposed to reduce the chattering around the switching surface then is applied to the interception model which was derived. The performances of the s...

This work describes the complexity found in the normal and the deaf crying acoustic waves. Using approximate entropy, in a single figure, the complexity of the auto-covariance of the signal is computed. Thus, using this complexity value, we are able to discriminate the normal and the deaf infants crying domains with

Motivation In the " old " days: Pattern and text are given in correct sequential order. It is possible that the .content is erroneous New paradigm: Content is exact, but the order of .the pattern symbols may be scrambled Why? Transmitted asynchronously? ? The nature of the application Example:Swaps Tehse kni ds of typing mistakes are very common So when searching for patternThese we are seeking...

The paper provided a description of a new model of information retrieval, which is an extension of vector-space model and is based on the principles of the theory of hypercomplex numerical systems. The model allows to some extent realize the idea of fuzzy search and allows you to apply in practice the model of information retrieval practical developments in the field of hypercomplex numerical s...