Sentence examples for expression for the evolution from inspiring English sources

The nature of the singularity was determined and the load axial displacement curves were accurately fitted to a rational expression with the same type of singularity, which provides an analytical expression for the evolution of the beam stiffness during deformation.

The analytic expression of the evolution operator for the electron spin in a quantum dot, which provides a clear geometrical interpretation of the qubit dynamics is obtained.

I derive a general expression for the time evolution of the joint probability density of chemical species in arbitrarily connected networks of non-linear chemical reactions in small volumes.

An expression is derived for the evolution of the error in a manifold approximation.

The tendencies indicated by the theoretical expressions account for the evolutions given by the experimental results.

This equation is also applied to obtain an expression for the dislocation density evolution at stage IV.

Lifshitz and Slyozow [46] as well Wagner [47] have formulated the basis for a mathematical description of the growth of grains in three-dimensional systems, yielding the following general expression for the asymptotic temporal evolution mean particle radius 〈R〉 〈 R 〉 ≈ c t 1 / z (2).

Expressions are developed for the evolution of topological properties under two idealized modes of local deposition, uniform an discrete, and the implications of each are presented.

We used whole genome expression data to evaluate two competing hypotheses for the evolution of expression robustness.

We believe that our work will interest genome scientists and might help them to gain insight into the implications of LINE expression for human evolution and disease.

We believe that our work will help us to gain insight into the implications of LINE expression for human evolution and disease.