Sentence examples for give analytical from inspiring English sources

In this paper, we give analytical answers to the above questions.

We prove and give analytical expressions for the discrete dispersion relations for this scheme.

Hence, we give analytical expressions for the quadratic distortion of the following downsampling encoding-decoding pairs: DDE-SD, DDE-PD, PDE-SD, and PDE-PD.

This method does not give analytical results, as it requires the summation of a large number of terms for moderate sphere size.

Here we give analytical expressions for the mean squared error (MSE), explore the stationary points of the algorithm, evaluate the misadjustment error due to weight fluctuations, and derive recursions for the mean weight transient behavior during the learning process.

Kruit and Jansen give analytical formulas that help with understanding how these effects depend on parameters such as the electron path length, the beam divergence angle, and beam energy.

Figure 9 gives analytical comparison of TCP and UDP in detail.

Furthermore, temperature distribution around borehole is investigated by using new given analytical expression.

The melt pool dimensions can be estimated by given analytical solutions based on the capillary diameter.

Precision is the most often quoted term to express the extent of errors in the given analytical results.

For nonlinear models, the NDM has shown dependable results and gives analytical approximation that converges very rapidly.