Sentence examples for trace space from inspiring English sources

Use and to denote the usual Sobolev spaces, is the trace space, and we define.

Using local snapshots, we avoid high dimensional representation of trace spaces and use some local features of the solution space in constructing a low dimensional trace space.

Because of the particular form of the trace space it is possible to give an explicit formula for the transition function of the process.

The traditional level set method works in the trace space of the evolving interface, and hence disregards any parameterization in the interface description.

Assuming that the extreme boundary of the trace space is compact and finite dimensional, and that the induced action on the trace space is trivial, we show that strongly outer Z-actions have finite Rokhlin dimension in the sense of Hirshberg, Winter and Zacharias.

Many separable unital C⁎-algebras, including all (separable unital) nuclear C⁎-algebras, have the property that for any McDuff II1-factor M, Homw(A,M) is affinely homeomorphic to the trace space of A. In general Homw(A,M) and the trace space of A do not share the same data (several examples are provided).

We provide a general framework for systematic construction of multiscale trace spaces.

We recall some usual Sobolev spaces and some trace spaces on in the following.

The characterizations of trace spaces are given in terms of local polynomial approximations.

One possible explanation is that without slant stack, it reduces the beam spacing to trace spacing, which has the potential to improve the shallow resolution.

Look-up tables and equations are provided to determine required trace widths for current handling and impedance as well as required trace spacing for high-voltage designs and high-frequency designs.