Sentence examples for introducing this function from inspiring English sources

When the distribution function of plasma particles stays close to some analytically known function, statistical noise inherent to Monte Carlo simulations can be greatly reduced by introducing this function as a control variate in the computation of the velocity moments.

We introduced this function in [ 11], and showed that finding sets with high weight provides an alternative approach for identifying driver mutations.

Introducing this decay function into the ARF represents the beamforming of a signal with an exponentially decaying envelope starting at t = 0 (Fig. 1(c)).

The non-linear Arrhenius equation with respect to temperature can be exactly solved by introducing this non-linear heating function (integrating factor).

The most important improvement for introducing this new continuous influence function is to ensure the continuity of the resulting final horizontal displacement, slope, strain and curvature.

We end this section by introducing the function (varphi (y,t)) by varphi (y,t):= u y,t)+frac{1}{2}(y-1) t^{2}.

In the following, the changes introduced to this function to support multiple VNOs/groups are described.

In order to do this, he introduced the function:, so as to present in the form (512). Using this form and Theorem A15, he proved the following.

To quantitatively evaluate this possibility, we introduced the function Ψ norm=Ψ GSM·sign, where Ψ GSM is the standard dipole tilt in the GSM coordinate system and α is the SW velocity inclination in the X Z GSM-plane (α= arctan(V z SW/V x SW)).

Analysis shows that the estimation error of secondary path transfer function introduces this undesired phenomenon.

Professor Saltzman first introduces the function and anatomy of the kidney.