The aim of this paper is to explore the binary sequences with high discrimination using Particle Swarm Optimization with Cauchy Mutation (PSOCM) technique. The cross-ambiguity function method is used to detect the stationary and moving targets in various target detection scenarios. The contour plots of the cross-ambiguity function are computed as a function of delay and Doppler frequency shift....

In order to study large variations or fluctuations of finite or infinite sequences (time series), we bring to light a 1868 paper of Crofton and the (Cauchy-)Crofton theorem. After surveying occurrences of this result in the literature, we introduce the inconstancy of a sequence and we show why it seems more pertinent than other criteria for measuring its variational complexity. We also compute ...

In this article, we present various new results on Cauchy tensors and Hankel tensors. We first introduce the concept of generalized Cauchy tensors which extends Cauchy tensors in the current literature, and provide several conditions characterizing positive semi-definiteness of generalized Cauchy tensors with nonzero entries. Furthermore, we prove that all even order generalized Cauchy tensorsw...

We establish the large deviation principle for slow variables in slow-fast dynamical system driven by both Brownian noises and L\'evy noises. The fast evolve at much faster time scale than variables, but they are fully inter-dependent. study asymptotics of logarithmic functionals three regimes based on viscosity solutions to Cauchy problem a sequence partial integro-differential equations. also...

The notion of the sub-exact sequence is generalization exact in algebra especially on a module. A module over ring R vector space field F. Refers to special F when we have complete inner product space, it called Hilbert space. if every Cauchy converges. Now, introduce which can later be useful statistics. This paper aims investigate properties and their relation direct summand As result, get tw...

We develop an efficient and convergent numerical method for solving the inverse problem of determining potential nonlinear hyperbolic equations from lateral Cauchy data. In our we construct a sequence linear problems whose corresponding solutions converge to function that can be used efficiently compute approximate solution interest. The convergence analysis is established by combining contract...

in this paper, a novel matched filter based on a new kernel function with cauchy distribution is introduced to improve the accuracy ofthe automatic retinal vessel detection compared with other available matched filter‑based methods, most notably, the methods builton gaussian distribution function. several experiments are conducted to pick the best values of the parameters for the new designedfi...

Recall that a metric space M is said to be complete if every Cauchy sequence in M converges to a limit in M . Not all metric spaces are complete, but it is a fact that all metric spaces can be “completed”, in a way that preserves the essential structure of the metric space. If the space in question is a normed linear space this process completes the space to a Banach space, and an inner product...