Sentence examples for reproducing properties from inspiring English sources

One of our goals here is to show that the usual reproducing properties of such operators extend to the situation where the data and the generating form have lower regularity.

The proof of the completeness and reproducing property of (W_{2}^{4,0} ) is similar to the proof of Theorem 1.3.2 in [29].

And for all, the ball algebra, such that is real, the reproducing property of ( of [2]) gives.

The last condition is called 'the reproducing property': the value of the function φ at the point t is reproduced by the inner product of φ with K ( ⋅, t ).

And for all f - A(B), the ball algebra, such that f(0) is real, the reproducing property of 2C z, ξ) - 1 [2, Theorem 3.2.5] gives ∫ S K ( z, ξ ) Re f d σ = - i f ( z ) - Re f ( z ) = Im f ( z ).

Intermolecular bonding, such as H-bonding or π π bonding, may be particularly problematic for analytical force fields because the parameters are typically optimized to reproduce properties of isolated molecules.

While each of these models may have qualitatively simulated biological networks, none have consistently and accurately reproduced properties of individual PPI networks.

In analogy to atomistic-MD with an empirically defined molecular mechanics force-field with parameters optimized to reproduce experimental observations or quantum mechanical calculations, we can assign CG-MD force-field parameters to either reproduce properties observed from atomistic-MD or from a statistical analysis of known protein structures deposited in the PDB.

Let Then the reproducing property tells that.

For any, one has the reproducing property (2.9).

Then the reproducing property tells us that (f(x)=langle f, K_{x} rangle_{K}).