Sentence examples for description of the spaces from inspiring English sources

We give a complete description of the spaces of continuous and generalized translation- and SO+(p,q -invariant valuations,q -invariantg Hadwiger's classification of Euclidean isometry-invaluationsluations.

A rigorous description of the space charge layer and its impact on conductivity are developed for a composite system consisting of insulating spheres dispersed within an ion conducting material.

When only scarce abundance data and no Euclidean distance are available, we propose a method to explore the structuring patterns by the association of a hierarchical/proximity description of the space under study (units formed by subunits) and a multiple permutation test battery capturing the similarity between units (permutation being applied at subunits or units level).

We give a detailed description of the space-time behavior of the unitary propagator {U t,s); t, s ϵ R} determined by the Schrödinger evolution equation i∂tu = − 12Δu + E · xu + V t, x)u, t ϵ R, x ϵ Rn, where E is a homogeneous electric field and V is a time-dependent potential.

This will require a description of the space where such functions live.

This section provides a precise description of the space D M for the equivariant models listed in Example 4 (JC69, K80, K81, SSM, and GMM).

Interestingly, with this approach, we did not favor any internal functioning of the system since we parsed all objective functions (linear combinations of flux variables), in order to have a complete description of the space of plausible flux distributions.

There is no description of the space of linear invariants for other equivariant models not listed in Example 4, so we cannot claim that the result below still holds.

The astronaut gave the most vivid descriptions of the space environment and the Earth beneath him.

We give a complete description of the important spaces associated to matrix rational inner functions.

This is based on a combinatorial description of the intertwiner spaces between certain generating representations of G≀⁎S+N.