Sentence examples for update the equations of from inspiring English sources

That is we update the equations of motion of individual bubbles.

In this paper, we present two new numerical algorithms for updating the equations of motion for a viscoelastic fluid that can be described by the finite extensible nonlinear elastic polymer model with the closure proposed by Peterlin (so called FENE-P model) in a transient calculation.

Based on updated the equation of L0-LMS algorithm in Equation 24, the updated equation of L0-NLMS algorithm can be directly written as h ˜ n + 1 = h ˜ n + µ 1 e n x t x T t x t - ?

Let us update the solution of Equation 19 in the most relevant equations.

Starting from simulated measured modal data such as natural frequencies and their corresponding mode shapes, this study presents the equations to update the physical parameters of stiffness and mass matrices simultaneously for analytical modelling by minimizing a cost function in the satisfaction of the dynamic constraints of orthogonality requirement and eigenvalue function.

A set of time-indexed polynomial discrete dynamical equations that update the values of each agent's state variables are then defined in such a way as to allow the state variables to form an algebraic field.

In our case it is difficult to establish this, since the updating equations of the weights are nonlinear, except for W. In the case where the NN weights are frozen we can establish the convergence condition for W. In this case we have: E W n + 1 = E W n I − 2 μ R N N X N N X + 2 μ H R g X N N X (80).

We next update the estimates of γ i using Equation 24 first, then proceed to evaluate λ and ν using Equations 25 and 26.

The updated equations of motion about the prestressed configuration are obtained from the three-coupled partial differential equations of motion.

By substituting the average gains in the equations of the methods presented earlier, the update equations of the resulting methods can be summarized as follows: Average Gain IFEM-1 (AG IFEM-1): P l n ( t + 1 ) = w lk SINR ¯ l n ( t ) 1 + SINR ¯ l n ( t ) ∑ j ≠ l τ ̄ jl n ( t ) 0 S max (34).

The update equations of the th path in the th cluster for a moving station with speed (in wavelengths per second) are given as (5).