Sentence examples for basic assumptions on the from inspiring English sources

We start with introducing basic assumptions on the singularly perturbed system (3), respectively, (4).

In Section 3, we discuss our basic assumptions on the network.

The attached examples of calculations give a chance to investigate the influence of noticed differences in basic assumptions on the final results including the minimum, acceptable wall thickness of the linings used for trenchless renovation of gravitational sewers.

In terms of the basic assumptions on the detection problem (2), the weather clutter is homogenous in the observation window and all the clutter vectors at the range cells in the observation window are i.i.d Gaussian random vectors with an unknown covariance matrix and the number K of the reference range cells is much more than the dimension N of the clutter vectors.

3.1 we specify the basic assumptions on the implicit Runge Kutta time discretisations, and in Sect.

Basic assumptions on the governing nonlinear functional are collected in the following hypotheses.

We first make a basic assumption on the reduced problem.

Considering the scalar hyperbolic-parabolic balance law (1.1), namely the case (n=1) of (1.5), we present the basic assumption on the viscosity term operatorname{supp} a=bigcup_{k=1}^{2K} [a_{k},b_{k}], (1.6) where ([a_{k},b_{k}]subset v_{k},v_{k+1})) for any (1le kle2K).

A basic assumption on the considered class of stiffly accurate Runge Kutta time discretisations is a stability criterion which is in particular satisfied by the Radau IIA and Lobatto IIIC methods.

A basic assumption on the considered class of stiffly accurate Runge Kutta time discretisations is a stability criterion which implies algebraic stability and is in particular fulfilled by the widely used Radau IIA method, including as special case the implicit Euler method, and by the Lobatto IIIC methods.

"The white backlash," the British journalist Godfrey Hodgson wrote in the summer of 1964, "fits into a broader pattern of social and political change that may rewrite the most basic assumptions on which the dominance of the Democrats had been based since 1933".