‎A new approximation method for the set of common fixed points of‎ ‎nonexpansive mappings and the set of solutions of systems of‎ ‎variational inequalities is introduced and studied‎. ‎Moreover‎, ‎we‎ ‎apply our main result to obtain strong convergence theorem to a‎ ‎common fixed point of a nonexpannsive mapping and solutions of ‎a ‎system of variational inequalities of an inverse strongly mono...

the aim of this paper is to generalize the‎‎notion of pseudo-almost valuation domains to arbitrary‎ ‎commutative rings‎. ‎it is shown that the classes of chained rings‎ ‎and pseudo-valuation rings are properly contained in the class of‎ ‎pseudo-almost valuation rings; also the class of pseudo-almost‎ ‎valuation rings is properly contained in the class of quasi-local‎ ‎rings with linearly ordere...

The present study deals with word frequencies distributions and their relation to probabilistic Information Retrieval (IR) models. We examine the burstiness phenomenon (a rich get richer phenomenon) of word frequencies in textual collections. We propose to model this phenomenon as a property of probability distributions and we show that the Beta Negative Binomial distribution is a good statisti...

An algorithm for fast software encryption is proposed in this paper. It is based on the architecture of new pseudo random number generator (PRNG), named Self−Shrinking p–adic Generator (SSPG). In the paper first, the basic SSPG architecture and algorithm are recalled. Then, the software implementation in Visual C++ environment is presented. Finally, the results of some images and texts, encrypt...

The stochastic Euler-Poincaré equations with pseudo-differential/multiplicative noise are considered in this work. We first establish two new cancellation properties on pseudo-differential operators, which considerably extend the previous results for transport type only involving gradient operator. Then, we obtain local solution, blow-up criterion, and global existence. interplay between stabil...

Abstract: Many modulated communication signals exhibit a cyclostationarity property. Cyclic-MUSIC algorithm uses the property to improve the detection capability and estimation accuracy over conventional MUSIC algorithm in DOA estimation. Based on cyclic-MUSIC, SC-SSF algorithm extends application bound from narrow-band signals to wideband signals, where a kind of pseudodata matrix is construct...

Given the vast amounts of video available online, and recent breakthroughs in object detection with static images, object detection in video offers a promising new frontier. However, motion blur and compression artifacts cause substantial frame-level variability, even in videos that appear smooth to the eye. Additionally, video datasets tend to have sparsely annotated frames. We present a new f...

We introduce a τ -dependent Wigner representation, Wigτ , τ ∈ [0, 1], which permits us to define a general theory connecting time-frequency representations on one side and pseudo-differential operators on the other. The scheme includes various types of time-frequency representations, among the others the classical Wigner and Rihaczek representations and the most common classes of pseudo-differe...