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But Spinoza sometimes distinguishes between two types of modes, infinite modes and finite modes.
Optical transmittance measurements revealed that the PBNAs supported both the bonding and anti-bonding SPR modes, and finite element method (FEM) calculations show very high field intensities within the bowtie gap for the bonding SPR modes [13, 14].
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Results from standard numerical approaches, that rely on the discretization of the stepped beam (assumed modes and finite-element methods), are compared with the solution of the exact transcendental eigenvalue problem for the infinite dimensional system.
We present theoretical model based on the perturbation theory of coupled modes and vector finite element method (VFEM).
As plastic buckling is the result of interaction between elastic buckling and plastic collapse, the present development is based on existing information on these two failure modes and a finite element parametric study on plastic buckling.
The modal assurance criterion (MAC) and normalized cross-orthogonality (NCO) check are widely used to assess the correlation between the experimentally determined modes and the finite element model (FEM) predictions of mechanical systems.
The nonlinear couplings between the Goldstone mode and the finite wavelength unstable modes induce differences in the selection and stability ranges of patterns.
Analytical solutions for the modes and frequencies of finite length one dimensional bi-periodic structures are obtained for general boundary conditions.
It uses a fourth-order implicit time filter that reduces computational modes and fourth-order finite difference approximations for spatial derivatives.
A more elaborate and elegant solution, proposed by Curley, tries to reconcile Ip28 and the claim that all modes follow from substance without relying on the close relationship between God and finite modes.
A key support for this view is that Spinoza's account of the relation between God and finite modes prevents the modal transfer principle from applying to finite modes.
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