surface and small scale effects on free transverse vibration of a single-walled carbon nanotube (swcnt) fitted with y-junction at downstream end conveying viscose fluid is investigated in this article based on euler-bernoulli beam (ebb) model. nonlocal elasticity theory is employed to consider small scale effects due to its simplicity and efficiency. the energy method and hamilton’s principle a...

nowadays, the use of innovative nano-technology in the food industry quality control has significantly increased and it is widely employed in numerous fields such as diagnosis of microbial toxin of foods using nano-biosensors, increasing food shelf-life with the help of nano-clay and nano-silver packaging, as well as changing some of the unpleasant organoleptic properties such as taste, color, ...

The paper deals with resilient state estimation of cyber-physical systems subject to switching signal attacks and fake measurement injection. In particular, the random set paradigm is adopted in order to model the switching nature of the signal attack and the fake measurement injection via Bernoulli and/or Poisson random sets. The problem of jointly detecting a signal attack and estimating the ...

In general, wavelet coefficients are composed of a few large coefficients and a lot of small ones. Therefore, each wavelet coefficient is efficiently modeled as a random variable of a Bernoulli-Gaussian mixture distribution with unknown parameters. The Bernoulli-Gaussian mixture is composed of the multiplication of the Bernoulli random variable and the Gaussian mixture random variable. In this ...

Bernoullicity is the strongest mixing property that a measuretheoretic dynamical system can have. This is known to be intimately connected to the so-called d̄ metric on processes, introduced by Ornstein. In this paper, we consider families of measures arising in a number of contexts and give conditions under which the measures depend d̄-continuously on the parameters. At points where there is d̄-c...

Following is a study of percolation in the hyperbolic plane H and on regular tilings in the hyperbolic plane. The processes discussed include Bernoulli site and bond percolation on planar hyperbolic graphs, invariant dependent percolations on such graphs, and Poisson-Voronoi-Bernoulli percolation. We prove the existence of three distinct nonempty phases for the Bernoulli processes. In the first...