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Ruling that Iridium executives "had no good-faith basis to represent three critical assertions" to Chase about the company's finances and subscriber base, Judge Hellerstein said that Motorola was bound to pay the guarantee.
This paper presents a method to select the orthonormal basis to represent vibration signals for rotating machinery fault diagnosis.
An orthogonal wavelet basis is characterized by its approximation order, which relates to the ability of the basis to represent general smooth functions on a given scale.
The stochastic input is represented spectrally by employing orthogonal polynomial functionals from the Askey scheme as trial basis to represent the random space.
The use of the same basis to represent geometry and analysis fields enables 'representational' integration, and further, the developed methodology may be classified as a partition of unity meshless analysis scheme.
Skye is in the Highlands electoral region and comprises a part of the Ross, Skye and Inverness West constituency of the Scottish Parliament, which elects one member under the first past the post basis to represent it.
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We define local, multiscale mixed basis functions to represent the discrete solutions in subdomains.
Traditional data analysis methods, like Fourier and wavelet-based method, require some predefined basis functions to represent a signal.
The classical function expansion method based on minimizing l2-norm of the response residual employs various basis functions to represent the unknown force.
Here, the focus is on mesh-based PO, using a triangle element mesh with standard Rao Wilton Glisson basis functions to represent the surface current density.
In wavelets, we use a single function and its dilations and translations to generate a set of orthonormal basis functions to represent a function.
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