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As an instance, in the case of choosing the Gaussian kernel as the base function, we should try in finding the optimal value of the width; since this parameter which is equivalent to the Gaussian standard deviation indicates the openness of the Gaussian function and the neighborhood area affected by the defined kernel that will influence the final clustering results significantly.
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In both cases, the solution is based on the Galerkin decomposition with buckling modes of an initially flat plate used as the base functions.
The analysis is based on a reduced order (RO) model resulting from the Galerkin decomposition with buckling modes of a straight beam used as the base functions.
The analysis is based on a two degrees of freedom reduced order (RO) model resulting from the Galerkin decomposition with linear undamped eigenmodes of a straight beam used as the base functions.
The base functioned as an intermediate stop on the transpolar air route between North America and northern Europe, and a ballistic missile early warning station was completed in 1961.
For the analysis of this we use a product of two Radial Basis function kernels as the base kernel functions which define the covariance matrix of the distribution.
R i,n is set as the sample variance of the nth column of the regression matrix Φ i or equivalently as the energy of the nth base function, R_{i,n} = frac{1}{ N}boldsymbol{varphi_{n}}^{H}boldsymbol{varphi_{n}}, (19).
This is performed using the wavelet analysis as a denoising tool with the discrete Meyer wavelet as base function.
To cope with the tough problem of identifying the dynamic loads near a fixed boundary, the concept of consistent spatial expression for the dynamic loads is put forward, and the Legendre polynomials are used as the consistent orthogonal base functions to describe the distributed dynamic loads.
As the number of base functions increases, the interlaminar stresses converge.
Boyd [2, 12] employed Chebyshev polynomial expansions and the Gegenbauer as base functions.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com