Sentence examples for define an extension from inspiring English sources

We define an extension of the polynomial calculus on a W⁎-probability space by introducing an algebra C{Xi:i∈I} which contains polynomials.

The results of this analysis can then be used to define an extension of the measurement space to further reduce (or, ideally, eliminate) the remaining sensitivity to unmodeled parameters.

We define an extension by for.

Further, we define an extension of (hat {mathbb {E}}^{ast }) of (hat {mathbb {E}}) by.

end{aligned} (2.4)We will also define an extension of the degree function, setting (d_epsilon (i =1) for all (ile p), and (d_epsilon (i) = d i-p+m)) if (ige p+1).

We now define an extension of our embedded two-dimensional texture image to three dimensions by constructing a function F : ℝ → 𝒫.

This chapter defines an extension of the format for IPv6 scoped addresses.

RFC 3524 Mapping of Media Streams to Resource Reservation Flows This document defines an extension to the Session Description Protocol (SDP) grouping framework.

The chapter defines an extension of a coherent lower prevision to a linear space of previsible, not necessarily bounded random variables, and highlights that this extension still has properties similar to those of coherent lower previsions.

We show here that her way of defining an extension with respect to a focus node and as a subgraph of the inheritance graph is very attractive and compatible with Touretzky et al.'s theoretic framework, but that her definition of admissibility is not intuitively satisfactory.

As the N-transform defines an extension to Laplace and Sumudu transforms, our results generalize the results existing in the literature.