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To exploit spatial sparsity, we use a basis function to tailor the sparse representation of the rainfall intensity.
One approach to mitigate the numerical dependency on the coefficients of the polynoom is to use a basis different from the monomial basis.
But in the absence of physical sparsity, which is a more general case in many practical scenarios, we use a basis Ψ t.
For numerical convenience, we use a basis that is orthonormal, meaning the covariants satisfy (9) Tr (T i ⋅ T j ) = δ i, j, which also defines a generalized scalar product on the space of 4 × 4 matrices (any occurring Lorentz indices are understood to be summed over here).
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Conventionally, decomposition is processed using a basis system.
The radial deflection of the shell is expanded by using a basis of seven linear modes.
The strain Cp1002 was used a basis for the structural study.
We used a basis of polynomials up to degree 20 (Λ = 20) to approximate the density of population frequencies.
By using a basis set of only 3-parameter models, monotonic parameter estimate trends resulted (Eq. 9).
Where datasets were incomplete, Netherlands data were often used a basis for estimating proportions of data for other countries.
By using a basis-dependent Lyapunov function approach, sufficient conditions for the existence of the H∞ filters are established.
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