This paper presents a new approach to machine health monitoring based on the Approximate Entropy (ApEn), which is a statistical measure that quantifies the regularity of a time series, such as vibration signals measured from an electrical motor or a rolling bearing. As the working condition of a machine system deteriorates due to the initiation and/or progression of structural defects, the numb...

In this paper, we study approximate duals of $g$-frames and fusion frames in Hilbert $C^ast-$modules. We get some relations between approximate duals of $g$-frames and biorthogonal Bessel sequences, and using these relations, some results for approximate duals of modular Riesz bases and fusion frames are obtained. Moreover, we generalize the concept of $Q-$approximate duality of $g$-frames and ...

The collocation method based on cubic B-spline, is developed to approximate the solution of second kind nonlinear Fredholm integral equations. First of all, we collocate the solution by B-spline collocation method then the Newton-Cotes formula use to approximate the integrand. Convergence analysis has been investigated and proved that the quadrature rule is third order convergent. The presented...

This paper proposes a theorem to generate chaotic key stream from topologically conjugated maps of Tent Map. In this theorem, the condition for topological conjugation between Tent Map and a class of chaotic maps is first determined. Then, the chaotic attractor of the maps is divided into 2 unequal subintervals, the chaotic orbit is sampled once in n time iteration, and, finally, the independen...

Potential capital losses and heightened exposure are inherent in the usage of poor data quality management. Existing efforts like treating data as products; capturing metadata to manage data quality; statistical techniques; source calculus and algebra; data stewardship and dimensional gap analysis all failed in inculcating the contextual factors which a fuzzy in nature. The conventional manner ...

Unreliable hardware can lead to great gains in energy efficiency, but it can be difficult to reason about how unreliable each operation in a computation may feasibly be. To make approximate computing viable, we need tools that can help programmers derive precision–energy trade-offs for individual fine-grained operations while reasoning about the collective impact on the result quality. We formu...