Sentence examples for integrated equations from inspiring English sources

The generated power density in the graphite susceptor is obtained by solving the magnetic vector potential equations, and radiative heat transfer is calculated from the integrated equations for radiation.

We integrated equations (1)–(10) using ode45, a MATLAB® (The MathWorks, Natick, MA) variable time step numerical ODE solver, which implements a medium order Runge-Kutta scheme.

To verify the model, we then numerically integrated Equations (1 3) in order to calculate the steady state of a central actin ring, using the parameters deduced above.

The corresponding integrated equations for the pseudofirst-order (n = 1) and pseudosecond-order (n = 2) models are (3) q t = q e (1 − e − k 1 t ), q t = k 2 q e 2 t 1 + k 2 q e t.

One wishes to integrate equations (6a), (6b) and (6c) numerically.

The calculated conversions are obtained by integrating equations subject to the initial condition.

For simplicity, in the report by Hoehme et al. (2010), cell orientation changes were modeled by energy minimization (using the so-called Metropolis algorithm) instead of numerically integrating equations for the torques.

This energy is obtained by integrating Equation 1, i.e., H = ∫ 0 L ℋdz. (37).

end{aligned} (33) We integrate equation (33) over B, use the divergence theorem and equation (11) to obtain the final result.

By integrating Equation 25 for four T-DMB transmitters that range from 1 to 4, the following equation can be developed: Δ z → = H × Δ p → (26).

Integrating Equation (30) with respect to η and using the condition f η ( 0 ) ( 0 ) = 0, we get f η ( 0 ) = 1 − e − s 0 η s 0. (31).