Sentence examples for utilized to derive a from inspiring English sources

Thereby, formal power series and suitable summation methods are utilized to derive a finite-dimensional approximation in generalized controller form coordinates.

An analytical method is utilized to derive a formula of the elastic buckling load of a pin-ended TTC-BRB, which is verified and modified through FE analyses.

The principle of minimum total potential energy along with a separable displacement function is utilized to derive a set of governing ordinary differential equations.

First, a numerical scheme is utilized to derive a power spectrum which is compatible in a stochastic sense with a given design spectrum.

The present derivation of the surface equations proceeds in two steps: First, conformal mapping of smooth surfaces onto rectangular regions is utilized to derive a first-order system of partial differential equations analogous to Beltrami's system for quasi-conformal mapping of planar regions.

Indeed, weindicate that Corollary 3.3 can be utilized to derive a fixed point for amultivalued mapping.

The Hamiltonian properties of this matrix are utilized to derive an efficient way to compute the group velocities of propagating waves as eigenvalue derivatives.

Using the formal apparatus of information theory, in particular recalling the concept of entropy, it is shown how flows can be utilized to derive an indicator of organization for the system, the average mutual information (AMI).

The least square method is utilized to derive an asymptotically consistent estimator.

SABER uses the 15 μm CO2 terrestrial emission to retrieve pressure, which is then utilized to derive temperature with a maximum uncertainty of 10 K in the altitude range of 80 to 105 km (Mertens et al. 2001).

Such a representation can then be utilized to derive intrinsic morphometric subtypes across a large cohort for prediction and molecular association.