Sentence examples for respective singular from inspiring English sources

We may then consider the Cauchy integrals and in, defined by (3.2). as well as their respective singular versions and in, also called Hilbert transforms, defined by (3.3).

The resemblance of two signals is investigated by means of a suitable similarity assessment of the signals' respective singular vector pair.

Panels (e)–(h) show the corresponding loading vectors (hat {sigma }_{1|q}hat {mathbf {v}}_{1| q},dots, hat {sigma }_{4| q}hat {mathbf {v}}_{4| q}) calculated by multiplication of the respective singular value (hat {sigma }_{i| q}) and right singular vector (hat {mathbf {v}}_{i| q}).

Here, we only regarded costs of outpatient treatment and multiplied the average costs of the respective singular diagnosis by the extrapolated prevalent case numbers and finally summed up the calculated costs.

After generation of the matrix of 500 IR difference spectra at the respective time, singular value decomposition (SVD analysis) was applied [ 13, 23].

In the fourth step, the alikeness of two syllables, represented by their respective pair of singular vectors, is assessed by means of a collection of candidate similarity measures, which are evaluated and compared to each other.

where s A and s B denote two syllables and (hat {mathbf {u}}_{1}^{(A)}, hat {mathbf {v}}_{1}^{(A)}) and (hat {mathbf {u}}_{1}^{(B }, hat {mathbf {v}}_{1}^{(B }) their respective pair of first singular vectors.

The parallels between Ivory Coast and Zimbabwe are striking: both were once viewed as the singular successes in their respective regions, the envy of their neighbors.

Thus, the attainable distillate and bottom compositions are described by the invariant manifolds of the singular points of the respective vapor liquid equilibria.

We find that the branches of canard orbits (xi _{0})–(xi _{9}) can all be continued to the singular limit, and the respective canard orbits all converge to the strong singular canard (xi _{s}) in the limit as (varepsilon to 0), as predicted by the theory [34].

This implies that observed differential properties derive from the singular molecular identity of their respective neuromeric origins.