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This B-spline filter is effective in removing numerical artifacts and controlling minimal feature length in optimized structures when the B-spline basis functions span multiple analysis elements.
For learning RBF networks, the major method for calculating isotropic Gaussian basis functions span for RBF networks containing special algorithm were presented.
Once constructed, the quadratic serendipity functions span the {1,x,y,x2,xy,y2} space of functions and grow by 2n on a mesh element where n is the number of the polygon's vertices.
Since these functions span several orders of magnitude in temperature space, some of this accuracy can be traded with greater solution speed, provided that the governing ordinary differential equation (ODE) solver still grants user-defined solution convergence properties.
The Hermite-Gaussian functions span the Hilbert space of square-summable functions.
We have checked that the basis functions span the 2-d space effectively completely, at least with respect to representing the observables under investigation.
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Today we have moved into distributed vehicle control systems with functions spanning several nodes from different vendors.
Bacterial lipoproteins (Lpp) compose a large family of surface-exposed proteins that are involved in diverse, but critical, cellular functions spanning from fitness to virulence.
Using "spin networks," we construct explicit functions spanning the subspaceL2(A/G)⊆L2(A) consisting of vectors invariant under the action of G.
In particular, this perspective permits the use of unconstrained temporal-basis-functions without the need to augment Hamilton's Law of Varying Action with Lagrange multipliers, and provides a linearly independent set of spatiotemporal functions spanning the solution space of the response.
The approach is based on identifying the subspace of all deposition profiles on the stationary substrate that produce uniform films under rotation and then projecting a deposition profile to be controlled onto a sequence of uniformity producing basis functions spanning that subspace to determine the "Nearest Uniformity Producing Profile" (NUPP).
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