Sentence examples for analytical representations and from inspiring English sources

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

The functions to be optimized are often highly multiextremal, black-box with unknown analytical representations, and hard to evaluate even in the case of one parameter to be adjusted in the presence of non-linear constraints.

Bruschweiler, R. & Wright, P. E. NMR order parameters of biomolecules: a new analytical representation and application to the Gaussian axial fluctuation model.

In addition to his practice, Dimcheff is dedicated to academic work and has taught extensively in the realm of analytical representation and drawing.

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

This paper illustrates how different types of analytical representations, including multidimensional spatial configurations and nondimensional dendrograms, can reveal important properties of the mechanisms underlying the performance variability in different tasks [14].

The effective properties are determined by using simple, discrete yarn and three-layer analytical representations of the quasi-isotropic braided layers.

The HN model adopted furnishes reasonable analytical representations for all the complex modulus components and allows an asymmetrical inflection point for the dynamic modulus and storage modulus master curves on the log log scale, effectively overcoming the drawbacks of the conventional sigmoidal function in characterizing the asphalt concrete linear viscoelastic (LVE) behavior.

In that light, we find that senior level molecular biology students have serious difficulties generating analytical representations of concepts they might well be assumed to know (C. Trujillo and Klymkowsky, in preparation).

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

The analytical representations show the full parameter dependence.