Lines In[1] and Out[2] below demonstrate a simple interaction with through a notebook interface.1 On line In[1] , the type function object is applied on a representation of the MATLAB expression tanh(3.78i). ’s response, shown on Out[2] , is the inferred type of tanh(3.78i). In this case, “type” is the expression {v, i, s} where v, i and s are the value range, intrinsic type and array shape of ...

The model for α = 1, β = 1/(m + 1) and γ = 0 was studied by Bagolubasky and Clarkson et al. A second model for α = 0, β = −(1/2) and γ = 0 was studied by Parker and solitary wave solutions were obtained as well. However, a third model was investigated in Refs. 10 and 11 for m = 1 and m = 2 where explicit solitary wave solutions and kinks solutions were derived. For m ≥ 1, we get consecutive exp...

Exact solutions of traveling wave are acquired by employ a relatively new technique which is called standard tanh method for nonlinear diffusion–convection equation. The applied the first time finding travelling equation , where n and m, integers, order (m=4, n=7) (m=5, n=9). Analytical equations obtained as polynomial in tanh(x), plots exact given. results compared with F-Expansion to validate...

The task scheduling problem in heterogeneous system is known as NP-hard. Recently, Bajaj and Agrawal proposed an algorithm TANH (Task duplication-based scheduling Algorithm for Network of Heterogeneous systems) with optimality conditions, which are wider than previous optimality conditions. TANH algorithm combines the clustering technique with task duplication. We propose two postprocessing alg...

Some preliminaries about the integrable families of Riccati equations and solutions structure of these equations in several cases are presented in this paper, then by using of definitions for fractional derivative we apply the new extended of tanh method to the perturbed nonlinear fractional Schrodinger equation with the kerr law nonlinearity. Finally by using of this method and solutions of Ri...

Robust Estimation and Outlier Detection for Overdispersed Multinomial Models of Count Data We develop a robust estimator—the hyperbolic tangent (tanh) estimator—for overdispersed multinomial regression models of count data. The tanh estimator provides accurate estimates and reliable inferences even when the specified model is not good for as much as half of the data. Seriously ill-fitted counts...

Nonlinear evolution equations are widely used to describe complex phenomena in various sciences such as fluid physics, condensed matter, biophysics, plasma physics, nonlinear optics, quantum field theory and particle physics, etc. In recent years, various powerful methods have been presented for finding exact solutions of the nonlinear evolution equations in mathematical physics, such as, tanh ...