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This step is accomplished by probing the function of interest using a suitably constructed FE model of spherical indentation, and establishing a compact spectral representation of the desired function using the discrete values obtained from the simulations.
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Long before I was born, Franklin D. Roosevelt established a compact among the generations.
-- third, the next President's first major policy speeches, including his inauguration speech, will set the tone for his second administration and offer an opportunity to establish a compact with his people.
Here, we aim to establish a compact and effective network for segmenting the road scene.
The concept calls for focusing future growth on existing built-up areas to establish a compact, efficient, and environmentally sensitive pattern of urban development that provides people with various transportation systems and a range of housing and employment choices.
Based on a Crank-Nicolson-type discretization, Wang and Vong [23] proposed a second-order accuracy formula to approximate the time-fractional derivative and established a compact finite difference scheme for solving the modified anomalous fractional subdiffusion equation.
In [13, 14], the authors established a compact model of ICI channel with a scalable parameterization, and proposed new receivers capable of ICI cancellation based on the ICI channel estimation.
We establish a compact embedding (W^{1,p(x)} omega,Omega )hookrightarrow L^{q(x)} alpha(x),Omega)) under suitable conditions and obtain the existence and multiplicity of solutions to the degenerate (p(x -Laplacian equation by the theories of nonsmooth critical point and the variable ex -Laplacianguequationv spaces.
To establish a compact analytical framework for the preliminary stress-wave identification of material defects, the focus of this study is an extension of the concept of topological derivative, rooted in elastostatics and the idea of cavity nucleation, to 3D elastodynamics involving germination of solid obstacles.
(g1) g : R → R is of class C 1, γ for some γ > max { 0, 1 − 2 α }, and odd, (g2) − ∞ < lim inf t → 0 + g ( t ) t ≤ lim sup t → 0 + g ( t ) t = − m < 0, (g3) − ∞ < lim sup t → + ∞ g ( t ) t 2 α ∗ − 1 ≤ 0, (g4) for some ξ > 0 such that G = ∫ 0 ξ g ( t ) d t > 0. Inspired by the mentioned papers, we first establish a compact embedding lemma via a fractional Gagliardo-Nirenberg inequality.
Therefore, all these genes established a compact bovine SERPINA3 family with at least eight functional members and one pseudogene.
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CEO of Professional Science Editing for Scientists @ prosciediting.com