Sentence examples for supplementary terms from inspiring English sources

In such case the terms of the particular contract consist of those terms on which the writings of the parties agree, together with any supplementary terms incorporated under any other provisions of this Act.

In such case the terms of the particular contract consist of those terms on which the writings of the parties agree, together with any supplementary terms incorporated under any other provisions of this Act". "1.

A superposition technique is used to represent the interfacial stresses as a sum of Smith and Teng's solution and an additional part due to shear deformation effect, with the latter being expressed by Fourier series with linear supplementary terms.

And each of beam displacements, regardless of boundary conditions, is expanded as a modified Fourier series composed of a standard cosine Fourier series and certain supplementary terms introduced to remove the potential discontinuities at the ends, thus ensure and accelerate the convergence of the series representation.

Under the current framework, regardless of boundary conditions, each displacement variations of the laminated FG spherical shell is invariantly expanded as a modified Fourier series in which several supplementary terms are introduced to ensure and accelerate the convergence of the expansion and all the expanded coefficients are determined by the Rayleigh Ritz procedure.

The TRC queries are expanded, using three sources (Src): 1, qualifiers (sub-headings); 2, qualifiers and concept terms; and 3, qualifiers, concept terms, abbreviations, and supplementary terms.

The variation of a supplementary term from a fractional derivative according to α-order is shown in Figure 2.

Thus, the supplementary term of the natural frequency due to a fractional derivative is ω n a = η 2 ε ω n α − 1 cos ( π 2 α ) ∫ 0 1 X n ( x ) X n ′ ′ ′ ′ ( x ) ( x ) d x. (91).

Furthermore, the supplementary term of the natural frequency from a fractional derivative is ω n a = − N 2 ω n σ n sin ( σ n ε t ) ∫ 0 1 X n X n ′ ′ d x + η 2 ε t ω n α − 1 cos ( π 2 α ).

The damping accelerates acutely in the classic damping approach, namely α = 1. Figure 2 Supplementary term versus α for various mode values at t = 1 ( ε = 0.1, η = 8, N = 1 ). Figure 3 Displacement-time curves for the different values of α ( ε = 0.1, n = 1, η = 8.0, a = 0.2, σ = 0.1 ).

Remark 8 We have chosen the form of the polynomials p β, p γ and p ˜ γ dealing with three parameters: the degree of the polynomials m ( m = 19 ), r ∈ ( 0, 1 ) ( r = 0.995 ) and the coefficient c of the supplementary term in p ˜ γ ( c = 1 / 6 ).