The advent of renewable energy has huge implications for the design and control of power grids. Due to increasing supply-side uncertainty, traditional reliability constraints such as strict bounds on current, voltage and temperature in a transmission line have to be replaced by chance constraints which are computationally hard. In this paper we use large deviations techniques to study the proba...

In this paper, we study the OWA operator on the real line, which corresponds to the Continuous OWA operator (COWA). After defining it, we introduce some properties and fundamental formulas for its computation. Among them, we give as an example, a differential equation for the COWA operator.

On the real line, the Dunkl operators are differential-difference operators introduced in 1989 by Dunkl [1] and are denoted by Λα, where α is a real parameter > −1/2. These operators are associated with the reflection group Z2 on R. The Dunkl kernel Eα is used to define the Dunkl transform α which was introduced by Dunkl in [2]. Rösler in [3] shows that the Dunkl kernels verify a product formul...

In this modern world, fashion & styles are changing frequently. The emergence of fast changes in fashion has given rise to shorten production cycle time in the garment industry. To meet the dynamic customer demands of momentous quantities in shorten lead time, assembly line production systems are used, where the garment components are assembled into a finished garment through a sub-assembly pro...

We compute, in SU(3) pure gauge theory, the vacuum expectation value (vev) of the operator which creates a Z3 vortex wrapping the lattice through periodic boundary conditions (dual Polyakov line). The technique used is the same already tested in the SU(2) case. The dual Polyakov line proves to be a good disorder parameter for confinement, and has a similar behaviour to the monopole condensate. ...

We perform a comparative study of the infrared properties of overlap and staggered fermions in QCD. We observe that the infrared spectrum of the APE/HYP improved staggered Dirac operator develops a four-fold near-degeneracy and is in quantitative agreement with the infrared spectrum of the overlap operator. The neardegeneracy allows us to identify the zero modes of the staggered operator and we...

In this text we describe the spectral nature (pure point or continuous) of a self-similar Sturm-Liouville operator on the line or the half-line. This is motivated by the more general problem of understanding the spectrum of Laplace operators on unbounded finitely ramified self-similar sets. In this context, this furnishes the first example of a description of the spectral nature of the operator...

Automated detection of retinal blood vessels plays an important role in advancing the understanding of the mechanism, diagnosis and treatment of cardiovascular disease and many systemic diseases. Here, we propose a new framework for precisely segmenting vasculatures. The proposed framework consists of two steps. Inspired by the Retinex theory, a non-local total variation model is introduced to ...

According to the problem of low positioning accuracy of the existing line detection algorithm and multiple response problem of the single edge detection, this paper presents an improved Hough transform based on Canny operator object detection algorithm which uses the characters of the line segment object from the commonly used edge detection operator to find the best comprehensive properties of...