Sentence examples for extension of the function from inspiring English sources

The Dirichlet problem for harmonic functions is as follows: Given a function defined on the boundary of a set, find an extension of the function to the interior of the set such that the function is harmonic.

where f ˜ ( x ) is an extension of the function f ( x ) on R n.

Using (3.9) that provides a natural extension of the function ( gamma ) appearing (3.11).

For this, we notice that p 0,x,0)=0 is a continuous extension of the function u↦p u,x,0) if x≠0.

Denote by F ∈ C ( Ω, B ) the extension of the function f − f ( s m ) which exists according to the Dugundji extension theorem ([19], Theorem 4.1).

Finally, a multiparameter extension of the function Φ λ, μ ; ν ( z, s, a ) was given, more recently, by Srivastava et al. [10] (see also [12]).

A regulatory effect of Ct extension on the function of CeCPI was thus proposed together with the results, a shift in the inhibitory pattern from competitive inhibition of its Nt domain alone to mixed type inhibition of its full-length one (Wang et al. 2008).

In this work, the fuzzy extension of the binomial function and the Gaussian function were used [ 58].

Since the extension of the χ function to the χ functional is not unique, the new functions, i.e. continuous data and uncertainty representations, need to be chosen intentionally.

Hill's potential function is a simple extension of the Mises function, which can be expressed in terms of rectangular Cartesian stress components.

Since 1970, on the basis of the Dirac operator, Brackx et al. [9 12] etc. put forward the regular function, which is an extension of the holomorphic function in higher dimensional space.