Sentence examples for the corresponding representation from inspiring English sources

We will denote by (pi _infty ) the corresponding representation of G on (V_infty ).

For convenience, we use the metric tensor to denote the mesh as well as the corresponding representation.

The limit κ → 0 reproduces the corresponding representation of the free retarded Green's function in three dimensions.

The starting point to prove this result is the corresponding representation theorem for the case p = 1.

These uncertainty characterizations are then propagated through the model to obtain the corresponding representation of uncertainty for the model outputs.

We parametrize the set of all such Parseval frames by operators in the commutant of the corresponding representation.

The corresponding representations in the time domain are head-related impulse responses (HRIRs).

However, before going any further, we would like to point out that the illumination error and noise models are applied on the RGB input images before transforming these into the corresponding representations.

Then, for each face pixel, we linearly regressed the mean of the age judgments with the mean pixel intensity values of the corresponding representations.

We also show that if the group acts on the tree by p-adic automorphisms, then the corresponding linear representation is a representation by infinite triangular matrices.

In light of Bryant and Bradley's work (1985) [13], we assume that one of the difficulties involved in learning how to read relies partly on the establishment of associations between the orthographic representation of a word and the corresponding phonological representation, i.e., between the visual image of the word and its auditory image.