Sentence examples for by the unit disk from inspiring English sources

The first model is the binary reception model employed by the Unit Disk Graph (UDG) model.

The connectivity between sensor nodes is characterized by the unit disk graph model [28].

A particular case is represented by the unit disk graph model, which assumes homogeneous readers, with the same interference range.

Our routing proposal has been developed with the following assumptions: a) The connectivity between sensor nodes is characterized by the unit disk graph model [28].

Further, the Mahler volume of bodies of revolution obtained by rotating the unit disk in ℝ2 is presented.

Further, we get the following theorem: Theorem 2 For a class of bodies of revolution obtained by rotating the "unit disk" in planar XOY, where the "unit disk" is the following set: U = { ( x, y ) | | x | p + | y | p ≤ 1 }, p ≥ 1, (1.6). the Mahler volume is increasing for 1 ≤ p ≤ 2 and decreasing for 2 ≤ p ≤ +∞.

In the following, we restate and prove Theorem 2. Theorem 2 For a class of bodies of revolution obtained by rotating the "unit disk" in planar XOY, where the "unit disk" is the following set: U = { ( x, y ) | | x | p + | y | p ≤ 1 }, p ≥ 1, (4.3). the Mahler volume is increasing for 1 ≤ p ≤ 2 and decreasing for 2 ≤ p ≤ +∞.

Also denote by the interior of the unit disk of the complex plane.

When we speak about interpolation in the families of Banach spaces (complex or real), we are in the situation when the actual family of Banach spaces is indexed by the points of the unit circle for simplicity (Gamma={ vert z vert =1}) in the complex plane, while the interpolation spaces are labeled by the points of the unit disk (D={ vert z vert <1}).

Finally, the cells were mapped into the unit disk by a piecewise linear transformation [32] defined by the control points and the Delaunay triangulation (Figure 1).

The polylogarithm is defined in the unit disk by the absolutely convergent series [1] mathit{Li}_{s} z)=sum_{n=1}^{infty}frac{z^{n}}{n^{s}},quad |z|< 1. (2.1) Several functional identities satisfied by the polylogarithm are available in the literature (see [6]).