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.

When the application context is ready to accept different levels of exactness in solutions and supported by human perception quality, then term ‘Approximate Computing’ tossed before one decade will become first priority . Even though computer hardware software are working generate exact results, approximate results preferred whenever an error predefined bound adaptive. It reduce power demand cr...

– Briefly we’ll show in Theorem 1.2 (sketched last time) that the representation question is essential — sometimes, by choosing the wrong function class, you can get a bad error, even though there are simple predictors that get 0 error. – Continuous fit I: box approximations; namely, we’ll show that a variety of functions can approximate continuous functions by showing they approximate piecewis...

We proposed a novel framework to analyse homeostasis of gene networks using linear temporal logic. We formulate a kind of homeostasis as strong satisfiability of reactive system specifications. Both behaviours and properties of gene networks are specified in linear temporal logic and homeostasis of the network is checked by strong satisfiability checkers. Though this framework is simple and app...

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...