Sentence examples for space of elements from inspiring English sources

Finally, let (W_{0}^{1,2}(Omega)) denote the Sobolev space of elements belonging to (W^{1,2}(Omega)) with zero trace at the boundary ∂Ω.

Other consequence modeling is often performed to determine the spacing of elements within the facility (onsite hazard impacts).

This paper exploits the statistical relation between different measures of sidelobe levels and the spacing of elements in random linear arrays made up of a small number of sensors.

A candidate for such a factor is the promoter architecture, which includes such things as the number and position of nucleosomes, the arrangement of binding sites, and the overall spacing of elements throughout the promoter.

Modelling of cis-regulatory element combinations and the relative position and spacing of elements are examples of such extensions.

Denote also by the corresponding by the representation (2.4), abstract Banach space of the elements for which.

end{aligned}Consider the composition of this product with the projection (k[V]rightarrow V) onto the space of primitive elements.

The second possibility is to use the Sabinin algebra operations, as defined by Shestakov and Umirbaev, on the space of primitive elements in the Hopf algebra (D_e L).

In the space and in the space, of finite elements of an Orlicz space of a -additive set function, we introduce some parameters which estimate the Hausdorff measure of noncompactness.

As a coalgebra, it is isomorphic to the symmetric algebra (k[T_eM]), and the space of primitive elements in (D_e M) consists of all the derivatives along some vector in (T_eM).

For each time frame τ, we define an indicator variable r τ on a discrete state space of R elements, which determines the acoustic event label we are interested in.