Sentence examples for a coordinate axis from inspiring English sources

Elliptic cloaking for flexural waves involves a density and an orthotropic Young's modulus which depend on the radial and azimuthal positions, as deduced from a coordinates transformation for circular cloaks in the spirit of Pendry et al. [Science 312, 1780 (2006)], but with a further stretch of a coordinate axis.

By the method, the interpolation stencils can be easily chosen to be locally uniform along a coordinate axis in two space dimensions and locally uniform on a coordinate plane in three space dimensions, which allows efficient numerical differentiation and boundary reconstruction/representation.

Also, one can show that in such case no associated eigenvector is aligned with a coordinate axis.

Also, one can show that if the map is strongly cooperative then no eigenvector is aligned with a coordinate axis.

Also, one can show that if the map is strongly competitive, then no eigenvector is aligned with a coordinate axis.

In addition to the hypotheses of Theorem 1.5, suppose that and that the eigenspace associated with is not a coordinate axis.

We used EC1118 sequencing reads to identify changes in copy number along a linear genomic coordinate axis.

The orthogonal components were defined in a head-based coordinate axis system with the origin at the centre-of-gravity: +X, anterior; +Z, superior; +Y, lateral (left).

An origin was specified at one corner of the sample, and then features could be located to within a single "cell" of the grid using an (x, y) coordinate axis.

The proposed semantic encoding differs from the representations commonly used in endoscopic image analysis (for medical decision support) in that it establishes a semantic space, where each coordinate axis has a clear human interpretation.

Figure 1 shows an (x,y,z) coordinate axis, with the signal direction of arrival defined in both azimuth-elevation ("az-el"),, and elevation-elevation ("el-el"), coordinates.