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In particular, the frequencies may become singular for finite values of the amplitude.
Numerical results for two-dimensional sound radiation from a radially vibrating infinite cylinder show that the problem encountered in the vicinity of the critical frequencies is not basically an ill-conditioning problem, and that the coefficient matrix does not become singular for a finite number of boundary elements.
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Make the man a woman, and Kahlo becomes singular for having engaged both parties at once — and only them.
Although the Galerkin matrix becomes singular for (varepsilon=0) we can in principle still solve the linear system if it is consistent, i.e. if the right-hand side lies in the range of the Galerkin matrix.
It is found that the electroelastic fields can become singular or vanish at the center of the core for certain cases of spherical anisotropy.
This offers an explanation for why topological quantities of V may become singular, like in phase transitions.
Moreover, f ( t, x, y ) may become singular when the space variables x and/or y vanish, which means that f ( t, x, y ) may become unbounded for x = 0 and a.e.
Under-sampling of relevant stimuli due to experimental constraints, such as small number of stimuli repetition to avoid behavioral habituation, poses another major problem for the multivariate statistical methods, because the covariance matrices describing the each class distribution become singular.
When, which means that the brightness ratio in the green and in the red channel is the same for both dyes, matrix M in Equation (26a) becomes singular and is not invertible.
Once elements are separated, the stiffness matrix becomes singular.
When ( alpha ) is equal to one, Eq. (8) becomes singular.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com