Sentence examples for equations is simplified from inspiring English sources
The evaluation of acoustic fields induced in inhomogeneous spheres by external sources, based on volume integral equations, is simplified considerably using Ivakin's integral equation and the use of the well-known expansion for the Green dyadic.
In this way, the procedure to obtain the explicit dynamic equations is simplified and has the advantage of being systematic.
The governing equations are simplified by assuming long wavelength and low Reynolds number approximations.
The governing equations are simplified by making the assumptions of long wavelength and low Reynolds number.
Consequently, the full Navier Stokes equations are simplified in the boundary layer.
These equations are simplified assuming small amplitude oscillations, a long wave, and a short stack.
If the sensor array is known to be linear, the position measurement equations are simplified.
The resulting nonlinear momentum and energy equations are simplified using similarity transformations.
As a result of the Gaussian assumption for the marginals, the updated equations are simplified.
The final equations were simplified to contain only significant parameters (p value < 0.05).
The highly nonlinear coupled partial differential equations are simplified with the help of suitable similarity transformations.
