Sentence examples for established by equation from inspiring English sources

By means Random WayPoint model and results obtained by [4], we have proved that the average arrived rate of a user in a sub-cell (C_i) of radius (r_i) and situated at a distance (d_i) of the cluster center is established by equation: begin{aligned} tau _a(Z_i) = frac{2}{C_v}int _0^pi int _0^pi r_i.h(x)sin Phi {rm d}Phi {rm d}alpha end{aligned} (3).

The latter is established by using Equation (14).

Once this function is found, then the energies E m of the molecular complex can be established by solving Equation 5.

The dynamic model of sub-satellite motion is firstly established by Euler equations.

Also note that this result is established by reducing the equation above to an equation of the form (v"_{tt}+k t,v)) on ((0,1)) using the change of variable (t:=frac{int_{a}^{r} 1/g(s),ds}{int_{a}^{b} 1/g(s),ds}).

A three-dimensional axial symmetrical model of laser cutting is established by adopting N S equation and RNG k ε onflow model in the paper, and numerical simulation is put up to analyze the flow field of shield gas in cutting slot.

The governing equations of the aeroservoelastic system are established by combining the equations of rigid-body motion, elastic fuselage model, wing/pivot system models and actuator dynamics.

First, the dynamical model of a free-floating space manipulator with two flexible revolute joints is established by the Lagrange equations.

Based on the dynamic model established by Clohessy Wiltshire (C W) equations, the rendezvous process is regarded as impulse phase and free motion phase which are considered as closed-loop system and open-loop system respectively.

Based on annular slot flow model, the pipe flow equation was popularized in annular and an annular flow equation was established, and the relationship between annular flow and shear stress at pipe wall was established by combining annular flow equation and fluid's rheological equation.

The validity of the equation is established by comparing the predictions from the equation with results from finite element analysis and test data.