Sentence examples for using the exact integral from inspiring English sources
The key step is to estimate the velocity at the acceleration extrema using the exact integral representation of the solution.
We apply the exact integral equations already used in our earlier publications to the SMHD system.
"It was using the exact same method.
The exact integral form of the tensors can be implemented with numerical integration procedures.
The above expression (3.11) is evidently the exact integral solution of the problem as formulated in (2.1 - 2.4 2.1 - 2.4
In some cases, they use the exact same words".
Using the first integral of motion the exact period of vibration in the form of the Euler beta function is obtained.
We could, of course, do that using the convolution integral.
Then, using the dispersion relation and integral transforms, exact integral solutions for the functionally graded plate under a point impact load are obtained.
Using the dispersion relation and integral transforms, exact integral solutions for an isotropic plate subjected to pure impulse load and a number of wave excitations based on the higher-order theory are obtained and asymptotic solutions which highlight the physics of waves are also presented.
