Sentence examples for supplementary term from inspiring English sources

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 ).

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 ).

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 ).

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.

Using MeSH qualifiers (sub-headings) only; 2. Combining qualifiers and concept terms; and 3. Using qualifiers, concept terms, abbreviations and supplementary terms from the MeSH hierarchy.

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.

It lists what the key terms are (for example, concordance, adherence and compliance) along with any supplementary terms (for example, non-intentional adherence) It is designed to elicit how particular terms are used, by whom and for what purpose.