Sentence examples for coefficients special from inspiring English sources

In the framework of discontinuous coefficients, special attention is paid to the so-called Cordes condition introduced by HO Cordes in the study of Hölder continuity of solutions of (1) (see [2, 3]).

Key questions that are considered include: Is it possible to identify a class of Eisenstein series whose Fourier coefficients (resp. special values) encode significant arithmetic information?

(2) An interval-valued function with real independent variable and interval coefficients is special case of (F Tsubseteq mathbb{R} rightarrow K_{c}).

Equations for the coefficients of a special cubic-special cubic balanced model are presented as well as their standard errors for both random and split-plot design structures.

Combining the Lindstedt-Poincaré procedure and the solution for differential equations with special coefficients, the third-order analytical solutions can be derived step by step.

Using Malliavin calculus we derive the result of A.K. Zvonkin (1974) [31] for bounded and measurable drift coefficients as a special case of our analysis of SDE's.

Due to their importance, these coefficients deserve a special name which will be given by the following.

The case of variable coefficients is of special interest and is more complicated in comparison with the case of constant coefficients.

In [14], the authors have derived update rules for the Fourier coefficients in a special case of random-walk phase model.

We present the generalised "sum-over-trips" rules for constructing the network response function in terms of a set of coefficients defined at special branching, somatic and gap-junctional nodes.

Because glucose is a precursor for fermentative pathways yielding important potential biofuels, including ethanol and hydrogen, its associated response coefficients are of special interest.