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The buckling load is expanded in terms of the inverse of the stiffness tensor.
The general forced solution is expanded in terms of these complex modes.
All variables are expanded in terms of Fourier–Hermite basis functions.
They are expanded in terms of an integral transform associated to the sub-Laplacian.
The velocity potential is expanded in terms of harmonic functions which satisfy the Laplace equation term by term.
Out-of-plane stress functions are expanded in terms of harmonic series through the thickness direction and initially satisfied the traction free boundary conditions of laminates automatically.
First, the plate displacements and rotations are expanded in terms of Chebyshev polynomials and a linear analysis is conducted to obtain the natural frequencies and modes of vibration.
From the analytical solution of the eigenproblems, both the tire structure and cavity acoustic responses are expanded in terms of their eigenfunctions.
We show that the Schrödinger propagator can be expanded in terms of resonances at energy levels at which a barrier separates the interaction region from infinity.
In this paper, these distributions are expanded in terms of finite series of known functions of the spatial variables multiplied by undetermined coefficients.
The problem is formulated as a system of boundary integral equations by factorizing the biharmonic equation, with the unknown boundary values expanded in terms of a Fourier series.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com