Sentence examples for analytical representations from inspiring English sources

The analytical representations show the full parameter dependence.

The analytical representations of duality mappings are known in a number of Banach spaces.

Raptor codes and repetition codes numerical results and analytical representations are discussed in Section "Numerical results and discussions".

These numerical solutions are computationally very intensive, and may not provide the insights that are possible from simpler analytical representations.

Frequently, especially in engineering applications, the functions involved in optimization process are black-box with unknown analytical representations and hard to evaluate.

The efficiency of meta-modeling techniques relies on their ability to provide statistically-equivalent analytical representations based on relatively few evaluations of the original model.

The quasianalytical method combines noiseless simulation with analytical representation of noise.

Graphical and analytical representation of this proximity measure is shown in Fig 5.

Analytical representation of WDF for the superposition states is derived rigorously on the basis of fundamental relations.

We establish an analytical representation for the prediction of the molar Gibbs free energies of gaseous diatomic molecule substances.

An analytical representation of the fixture must then be used to subtract its effects from the assembly.