Sentence examples for using the following approximation from inspiring English sources

The ROT in (10) is approximated as (27) by using the following approximation P e 2 − P e 1 4 L 1 − 1 M P e 2 − P e 3 ≈ P e 1 4 L 1 − 1 M P e 3 ≈ P e 1 4 L 1 − 1 M P ~ e 3 L. (29).

Then, pairs of similar Gaussians with minimal are repeatedly merged until Gaussians remain using the following approximation: (23).

We analyze the throughput related to these two kinds of messages and finally we compute the effective saturation throughput by using the following approximation: (18).

Displacements of the centre of foot pressure on the antero-posterior (CoPx) and medio-lateral (CoPx) axes were calculated using the following approximation: ΔCoPx = ΔMy/Fz and ΔCoPy = −Δ Mx/Fz in which ΔMy and ΔMx were a change of the torque with respect to its baseline value (defined as the average value within the time interval from 0 to 30 s).

In the electrostatic approximation, only b 1 contributes to the extinction cross section Q ext and Eq. (30) can be simplified by using the following approximations frac{k_{2} R,psi_{l}^{prime} k_{2} R)}{psi_{l} k_{2} R)}simeq l+1;,,, frac{k_{1} R,zeta_{l}^{prime} k_{1} R)}{zeta_{l} k_{1} R)} simeq -,l.

Since it is challenging to get a closed form expression of PER n in a coded system, we use the following approximation from[14] to denote the PER as PER n = min ( 1, a n exp ( - γ / g n ) ) (3).

Also, we use the following approximation to compute the integral term: ∫ 0 t n x ( s ) d s ≃ h 2 ( x 0 + 2 ∑ j = 0 n − 1 x j + x n ).

It can be also observed that at first step, one can use the following approximation for the Fermi integral: Phi_{1/2}approx exp eta)(1+0.27exp eta))^{-1}, which gives the value of Φ 1/2 with the accuracy not worse than 3% for η≤1.3.

At the second step, we used the following approximation for Φ j (remember, in our case (j=frac {1}{2})), obtained in [22]: Phi_{j} eta)=left{ exp -eta)+frac{Gamma(j+2)2^{j+1}}{lexp -etaeta +frac{|eta -b|^{c} + a^{c}riGamma{1/c} right]^{j+2}{leftht}, which gives the value of Fermi integral with the accuracy not worse than 1.2% for all values of η and (-frac {1}{2}

Since the derivative values of (S_{j}(x)) defined by (2.7 - 2.10) are not known at each grid point ((x_{l},t_{j})), we use the following approximations for the derivatives of (S_{j}(x)).

Since the derivative values of S j ( x ) defined by (2.4), (2.8), (2.9) and (2.10) are not known at each grid point ( x l, t j ), we use the following approximations for the derivatives of S j ( x ).