Sentence examples for functions to establish from inspiring English sources

We use Lyapunov functions to establish general theoretical conditions for designing the coupling matrix.

We have developed bespoke prototype technology built on open source RSA Public/Private key encryption, utilising digital signatures and hash functions to establish and leverage digital provenance.

The contact problem is based on an Augmented Lagrangian Formulation and the use of projection functions to establish the contact restrictions.

Following Beerling and Royer63, we use these two functions to establish the uncertainty bounds in estimated CO2. Owing to the ad hoc nature of these functions, CO2 estimates from stomatal ratios should be considered semiquantitative only.

Barrier to autointegration factor (BAF) is a DNA-binding protein found in the nucleus and cytoplasm of eukaryotic cells that functions to establish nuclear architecture during mitosis.

We use the multiplier method and some properties of convex functions to establish a general decay result.

Toeplitz matrix lowest eigenvalues are constructed by the coefficients of the bounded power series representing Carathéodory function to establish a new simple and general algorithm for testing the nonnegativeness of real rational functions.

The DTVGM-ET improved the ETa computation on the basis of a nonlinear soil water availability function to establish an explicit time response relationship between ETa and soil moisture for implementing the ETa assimilation.

The basic idea of the approach is to design a piecewise linear state feedback control law and use a piecewise smooth Lyapunov function to establish the global stability with H∞ performance of the resulting closed loop fuzzy control systems.

SSO is based on formulation of an augmented stochastic design problem and relies on simulation of samples from an auxiliary probability density function to establish a sensitivity analysis for the design variables.

We use this nonlinearity function to establish some new Liouville-type theorems.