Sentence examples for radius with the same from inspiring English sources

(mathrm {P}^{d}_{{{text {cov}}}}) is a decreasing function of the distance between D2D Tx-Rx pairs R 0,0 and the cell radius R. Increasing the cell radius with the same D2D user density reduces the effect of the interference from the BS.

The linear increase is unexpected because we substitute Mn3+ having 0.0645 nm as ionic radius by Fe3+ with the same ionic radius (0.0645 nm).

The effective radius r eff is the radius of a sphere with the same volume as (mathcal {V}_{0}).

Since M f > t ⊂ M f > R 2 - 1 t and σ 2 Q t, j ≤ R 2 t - 1 ∫ 2 Q t, j f d σ holds (4.5), we can construct the collection of balls Q R 2 - 1 t, j which covers M f > R 2 - 1 t with maximal radius just the same way as Lemma 4.1, so that 2Q t,j is contained in Q R 2 - 1 t, i for some i.

Second, each crown has a projection area (hereafter crown area), defined as the area of ground lying directly underneath the crown (hereafter, we work with crown radius, defined as the radius of a circle with the same area as the crown area).

The Roche radius is defined as the radius of a sphere with the same volume of the nearly spherical Roche lobe, and is often approximated (Eggleton 1983) by: begin{aligned} R_{mathrm{L1}} &approxfrac{0.49q^{2/3}}{0.6q^{2/3} + ln(1+q^{1/3})} &approx0.44afrac{q^{0.33}}{(1+q)^{0.2}}, end{aligned} (4) where the mass ratio (q=m_{1}/m_{2}).

Thus, we set (F=E_1) and we have, denoting by r the radius of the ball with the same measure of F, begin{aligned} P(F -P(B_r){le } P(E)-P(B)+P(B)-P(B_r){le } P(E)-P(B)+nomega _n(1-r^{n-1}).

It is convenient to define the isoperimetric deficit of a set E also in a scaling invariant way by setting begin{aligned} D(E) := frac{P(E) - P(B_r)}{P(B_r)}, end{aligned}where again r is the radius of a ball with the same measure of E. The first quantitative estimate for sets of finite perimeter was obtained in 1992 by Hall [82].

In our implementation, these stadia are circles with the same radius r: r = 1 2 r LS0 w LS0             (5 ) where r Ls 0 and w Ls 0 are the radius and width of the Ls0 stadium, respectively.

This in turn enables the chromatographic radius of macromolecules, Rc, to be defined as the radius of a sphere with the same K value and allows the ratio Rc/Rη to be studied.

For a spheroid, R is equal to the radius of the sphere with the same volume as the spheroid.