Sentence examples for case of approximation from inspiring English sources

Therefore, we study the case of approximation orders and fractional orders and, respectively.

Analogues of the direct and converse theorems in the case of approximation on the sphere are given, for instance, by Pawelke [71] and Lizorkin and Rustamov [35].

There is an impressive lower bound in [14] which suggests that the best activation function in the case of approximation of Korobov spaces is the Korobov kernel itself.

In the case of approximations of 1D Lipschitz functions we describe adaptive depth-6 network architectures more efficient than the standard shallow architecture.

An analog of Bernstein-Jackson inequalities in the case of approximations in the space L p ( G ) on a Lie group G by spectral subspaces M p ( h ) = { f ∈ L p ( G ) : E f = f  if  λ ≥ h > 0 } of the group sublaplacian Δ G, where Δ G = ∫ 0 ∞ λ d E is its spectral resolution, is established in [6, 7].

We have the case of the approximation of a saddle point problem by non-conforming discretization.

In this case the same selection rules for quantum numbers are valid, as in the case of parabolic approximation.

In [2], Ditzian and Totik studied the case of weighted approximation properties of (K_{n}(f;x)) in (L_{w}^{p}) under the restrictions (-frac{1}{p}

Our summary in this section is based on [57], where many results are given with elementary proofs for the case of uniform approximation, and [12], where these results are given in the full generality.

However, constraining the degree of anisotropy is necessary in order to prevent subbands from being decomposed excessively in a single direction, as, especially in the case of the approximation subband, this would lead to inferior energy compaction in the transform domain and thus to inferior compression results.

This method guarantees that the intervals have at least the confidence level and avoid problems in case of normal approximation for small proportions.