Targeting sustainability in our industrial society requires integrating specific criteria the design process of products and processes. A paradigm shift is necessary economical, social political systems to ensure natural ecosystems preservation on planet while fulfilling needs. Various research methods have therefore emerged change way services are designed, developed, used discarded considerin...

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.

Larynx cancer patients receive radiotherapy as a non-invasive alternative to surgery and cure rates are high. Inevitably this impacts vocal fold functional-ity. Hence, voice recovery as a prerequisite for resuming normal life is of special interest. Voicing recovery following radiotherapy is studied in this paper. Complexity analysis, using approximate entropy to concisely quantify the collecti...

We use entropy to extend the rough set based notion of a reduct. We show that the order based genetic algorithms, applied to the search of classical decision reducts, can be used in exactly the same way in case of extracting optimal approximate entropy reducts from data.

In this paper we consider several new versions of approximate string matching with gaps. The main characteristic of these new versions is the existence of gaps in the matching of a given pattern in a text. Algorithms are sketched for each version and their time and space complexity is stated. The specific versions of approximate string matching have various applications in computerized music an...

Many risks are well documented in academic and trade publications, even though attempts to estimate the likelihood of such risks have not received much attention. Quantitative measures of risk, even approximate measures, can help consumers take rational decisions, help security professionals prioritize their countermeasures, and enable ecommerce by helping insurers price risks accurately. In th...

The vertex cover problem is a classic NP-complete problem for which the best worst-case approximation ratio is roughly 2. In this paper, we use a collection of simple reductions, each of which guarantees an approximation ratio of 3 2 , to find approximate vertex covers for a large collection of test graphs from various sources. We explain these reductions and explore the interaction between the...

We present an explicit form for the construction of approximate inertial manifolds (AIMs) for a class of nonlinear dissipative partial differential equations by using a perturbation technique. We investigate two numerical examples of the reaction diffusion equation with polynomial nonlinearity and non-polynomial nonlinearity to show comparison of accuracy for our perturbation method with other ...