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The Supertree Toolkit 2 (STK)50 was used to standardise these sources and to produce a single matrix representation of their structure using group inclusion characters51.
Matrix representation of the solution procedure allows convenient expression as a standard fixed-point iteration.
A matrix representation of operators with respect to a nice wavelet base plays an important role in the formulation.
We study the Singular Value Decomposition (SVD) of the three building blocks of the matrix representation of two-channel orthogonal filter banks.
For further improvement, we make use of Gaussian elimination concept to perform specification polynomial reduction w.r.t Groebner basis using a matrix representation of the problem.
Central to this study is the link of dynamic combinants to the theory of "Generalised Resultants", which provide the matrix representation of the dynamic combinants.
Chebyshev polynomial based Ritz method is implemented into the virtual displacement principle to construct the matrix representation of the equilibrium equations.
With the aid of conventional Ritz method and the simple polynomials as the basic functions, the matrix representation of the governing equations is derived.
Such a method is based on a certain finite-dimensional matrix representation of the derivative d/dx obtained through Lagrange's interpolation.
The flame describing function is experimentally determined and is combined with an acoustic transfer matrix representation of the system to provide growth rates and oscillation frequencies as a function of perturbation amplitude.
We propose a convenient way to compress the dense matrix representation of a compact integral operator with a smooth kernel under the Fourier basis and the corresponding collocation functionals.
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