This paper presents steam temperature models for steam distillation pilot-scale (SDPS) by comparing Pseudo Random Binary Sequence (PRBS) versus Multi-Sine (M-Sine) perturbation signal Both perturbation signals were applied to nonlinear steam distillation system to study the capability of these input signals in exciting nonlinearity of system dynamics. In this work, both linear and nonlinear ARX...

In this article, we extensively study a family of distributions using the trigonometric function. We add an extra parameter to sine transformation and name it alpha-sine-G distributions. Some important functional forms properties are provided in general form. A specific sub-model alpha-sine Weibull is also introduced distribution as parent studied deeply. The statistical new investigated intend...

Chromosome maintenance protein 1 (CRM1) is a nuclear export receptor involved in the active transport of tumor suppressors (e.g., p53 and nucleophosmin) whose function is altered in cancer because of increased expression and overactive transport. Blocking CRM1-mediated nuclear export of such proteins is a novel therapeutic strategy to restore tumor suppressor function. Orally bioavailable selec...

In this case the points 0k,, = are sin xkn are equidistributed in Weyl's sense . A non-negative measure da for which the array xkn (da) has the distribution function fl o(t) will be called an arc-sine measure . If du(x) = w(x) dx is absolutely continuous, we apply, replacing dca by w, the notations pn(W,x), yn (w), xkn(w) and call a non-negative w(x) an arc-sine weight if da(x) = w(x) dx is an ...

Evaluation of integrals Meijer G-function Bessel functions Cosine and sine functions a b s t r a c t This paper is devoted to the study of the special function Z ν ρ (z) of z ∈ C with two parameters ρ ∈ R and ν ∈ C. In a special case such a function coincides with the McDonald function. Using the representations of Z ν ρ (z) in terms of the H-function, being different for ρ > 0 and ρ < 0, we de...

Abstract. We point out an interesting occurrence of the sine kernel in connection with the shifted moments of the Riemann zeta-function along the critical line. We establish this occurrence rigorously for the shifted second moment and, under some constraints on the shifts, for the shifted fourth moment. Our proofs of these results closely follow the classical proofs for the non-shifted moments ...

In this paper, we investigate the dynamics of a completely inelastic ball on a vertically vibrated plate. We construct a computational model using various forcing waveforms for the plate and generate associated bifurcation diagrams. The forcing functions used are a superposition of two sine waves with an integer ratio of frequencies. We then observe experimentally some of the predictions made b...

We determine the quantized function algebras associated with various examples of generalized sine-Gordon models. These are quadratic algebras of the general Freidel-Maillet type, the classical limits of which reproduce the lattice Poisson algebra recently obtained for these models defined by a gauged Wess-Zumino-Witten action plus an integrable potential. More specifically, we argue based on th...