Sentence examples for of complex coordinates from inspiring English sources

Let and be the -dimensional space of complex coordinates.

The reservoir is assumed to have relatively narrow thickness as compared to its lateral dimensions; the z plane of complex coordinates is oriented parallel to the direction of the reservoir's lateral extent.

Though application of complex coordinates in rotordynamic analysis is not novel per se, specific advantages gained from using such coordinates in a transfer matrix analysis have yet to be elucidated.

By a choice of complex coordinates (z 0, z 1, …, z n ) = (z 0, z ), we can assume that Z = ∂ / ∂ z 1, so that V = ∂ / ∂ x 1 and the orbits of G are parametrized by G ≅ R ∋ t → (z 0, t, …, z n ) ∈ C n + 1.

In weak-overlap reactions in solution, β is the contribution of the products to the potential energy function that determines the distribution of activated complex coordinates.

One-dimensional moment invariants can also be used as signatures to characterize contours, for instance Fourier descriptors [8, 9], which are obtained by Fourier transform of the arclength parametrization, in complex coordinates, of a closed contour.

The experiments were carried out using a linear 212 bp DNA fragment (sequence in Figure 9 B), randomly modified by transplatin (8), cisplatin (7), 5 or 6 in the dark or by 1 and 2 photoactivated with blue light (420 nm) at rb=0.01 (rb is defined as the number of the molecules of platinum complex coordinated per nucleotide residue), for RNA synthesis by T7 RNA polymerase.

We fitted the head motions to the following empirical equation: (3)where, P t) is the position of sperm head expressed in complex coordinates, j is an imaginary unit, ω is the velocity of circular orbit, ω 0 corresponds to the velocity of head swinging (flagellar beat frequency), F p represents a transcribed form of periodic functions of, and q is a constant.

However, they still require manual intervention (e.g. for the preparation of topologies or ligand-protein complex coordinates).

The ligand-receptor complex coordinates transcription of multiple adipogenic and lipogenic genes, leading to lipid accumulation [ 65].

It is clear from the present data that the coding of target spatial coordinates is only a component of a more complex coordinate system, that involves both retinotopic and body-centred frames.