Sentence examples for unbounded frequency from inspiring English sources
With regard to premiss 1 Giaquinto (2011) argues that there are functions on the reals which meet the antecedent condition but do not have graphical curves, such as continuous but nowhere differentiable functions and functions which oscillate with unbounded frequency e.g., \(f(x) = x \cdot\sin(1/x)\) for non-zero \(x\) in \ [-1, 1]\ [-1d \(f(0) = 0\).
It is shown that the K K relations can be applied even if the complex modulus is unbounded at high frequencies.
The hybrid-Trefftz displacement element is applied to the elastodynamic analysis of bounded and unbounded media in the frequency domain.
An analytical formula for the derivative of the dynamic stiffness matrix of unbounded medium with respect to frequency is given, which can reduce the computational cost for a specified frequency.
A particular feature of the displacement transmissibility is that the response is unbounded at the nonlinear resonance frequency unless the damping in the isolator is greater than some threshold value, which is not the case for force transmissibility.
Figure 2 shows, on the left-hand side (a), the frequency distributions of the unbounded recovery rate.
A rigid obstacle can produce an unbounded scattering cross-section as the frequency tends to zero, whereas the cross-section of a hole vanishes in the same limit.
We analyse the steady-state response, showing that simple changes to the shape of the force displacement curve can have large effects on the amplitude and frequency of peak response, and can even lead to unbounded response at certain levels of excitation.
On examination of Eq. (8), it is revealed that at very low spatial frequency (Ω s → 0), the power spectral density becomes unbounded, i.e., S(Ω s ) → ∞.
The BEM employs frequency-dependent fundamental solutions for a point load in the unbounded continuum, and requires discretization of all external and internal surfaces and interfaces only.
The interaction effects of the unbounded domain of the reservoir and the absorptive materials deposited at the reservoir bottom are frequency dependent which can be incorporated in a frequency domain procedure easily.
