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Publikováno v:
Neural Computation. 9:771-776
We show that the VC-dimension of a smoothly parameterized function class is not less than the dimension of any manifold in the parameter space, as long as distinct parameter values induce distinct decision boundaries. A similar theorem was published
Publikováno v:
Topology. 30(3):339-371
In this article, we present a model for the differential graded algebra (dga) of differential forms on the free loop space LX of a smooth manifold X and show how to construct certain important differential forms in terms of this model. Our motivation
Autor:
Scott Petrack, Alan H. Karp
Publikováno v:
Journal of Quantitative Spectroscopy and Radiative Transfer. 30:351-356
It is known that the azimuth-averaged component of the intensity computed from the spherical harmonics method for solving the equation of radiative transfer is “exact” at the Gauss quadrature points. We show that a similar relation holds for high