Sentence examples for corresponding spaces from inspiring English sources

We denote by,, and the points of the corresponding spaces.

The corresponding spaces of (germs of) hyperfunctions are characterized by their hypo-analytic wave-front set.

The corresponding spaces of vector-valued functions are denoted by the bold faced symbols.

The Weyl (or, exponentiated boson field) operators act smoothly and irreducibly on corresponding spaces of entire functions.

Moreover to each edge connecting nodes an attribute representing a cost of passing between corresponding spaces is assigned.

Given arbitrary nonempty open sets, we fix and pairs of nonempty open sets in the corresponding spaces,, such that (2.10).

has no nontrivial solutions in the corresponding space.

The corresponding space-frequency sampling pattern is shown in Figure 9.

Moreover, for each, it holds that belong to the corresponding space, and for fixed and (2.12).

Based on existing works, we use the perturbation method to determine the instability modes and their corresponding spacing.

Usually, an appropriate metric associated with the corresponding space is chosen to characterize the error in functional inequalities.