For a statistical method to be classified as a nonparametric method, it must satisfy one of the following conditions: (1) the method is used with qualitative data, or (2) the method is used with quantitative data when no assumption can be made about the population probability distribution.
The premises must be flexible enough to handle changes in both the ministerial structure and the working methods, and must satisfy necessary security requirements (Ministry of Government Adminstration, Reform and Church Affairs 2012, 2013).
A molecular method for identification must satisfy requirements for specific amplification of plant DNA and reveal enough variability to distinguish species.
Different to most of the relevant literature, the saliency detection method in our tracking framework must satisfy two requirements: simple and the restrain of the background pixels.
The present method considers that the surface tension must satisfy, on the interface between two adjacent layers, all the boundary conditions imposed on the radial and hoop stresses, which are computed using a specific model for thick multi-layered composite cylinders suggested by Tsai.
Following the standard literature [21, 38], the model estimated with the OLS method must be satisfied following constraints: the variance of the error is constant (i.e. homoscedasticity or convergence); the error is independent from the explanatory variables (i.e. no multicollinearity), the errors are not correlated (i.e. independent).
This result follows from the fact that the sources must satisfy statistical independence to allow FastICA methods to achieve high-quality separation results.
Based on the Lie symmetry method, we derived a very important condition on ( k u) ) that must satisfy for the existence of Lie symmetries.
A variational equation which the plate liquid system must satisfy is derived and a solution by the Rayleigh Ritz method is presented.
