Sentence examples for expanding coefficient from inspiring English sources

The constant λ is called an expanding coefficient of f in B ¯ r ( z ).

The constant λ is called an expanding coefficient of F in (bar{B}_{r} z)).

end{aligned} Therefore, we find that O is an expanding fixed point of F from the first condition of Lemma 1, that is, biglVert F x -F y bigrVert ^geq mu Vert x-yVert ^, quad F x -F y bigrVertB}_{r}(O), where (r>0) is a constant, (Vert cdot Vert ^geqs somu norm in ({mathbf{R}}^{k+1}), and (mu >1) is an expanding coefficient of F in (bar{B}_{r}(O)).

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.

It is useful to expand the coefficient Φ, i.e., the atomic force constants about its equilibrium value using the 3D forms of Taylor theorem for small displacements.

The inclusion of a frailty effect expands the coefficient 95% confidence intervals of the hospital characteristics, and the hospital size loses statistical significance.

These equations of motion are higher order partial differential equations having variable coefficients, and analytical solutions are obtained by expanding these variable coefficients into infinite power series.

The effective wave fields are expressed by using the wave function expansion method, and the expanded modal coefficients are determined by satisfying the continuous boundary conditions around the fibers.

The analytical solutions of wave fields are expressed by employing the wave function expansion method and the expanded mode coefficients are solved by satisfying the boundary condition of the cutout.

The analytical solutions of wave fields are expressed by employing wave function expansion method, and the expanded mode coefficients are determined by satisfying the boundary conditions around the cavity.

The analytical solutions of wave fields are expressed by employing wave function expansion method and the expanded mode coefficients are determined by satisfying the boundary conditions of the cavity.