Sentence examples for an established approximation from inspiring English sources

We use and adapt an established approximation algorithm for clustering originally presented by Gonzalez [10].

In this paper, we have presented a Bézier variant of Kantorovich type λ-Bernstein operators (L_{n,lambda,alpha}(f;x)), and established approximation theorems by using the usual second order modulus of smoothness and the Ditzian Totik modulus of smoothness.

To study wind farm aerodynamics (WFA), the Wind Power industry currently relies on simple Engineering Models (EM) that simulate wind farms using basic principles of physics and empirically established approximations.

Therefore, it is necessary to establish approximation methods for finding solutions.

Motivated by this problem we establish approximation properties for Banach spaces predual to the spaces H∞ for Ω being finite direct products of starlike domains and unbranched coverings of strongly pseudoconvex domains in Stein manifolds.

If the SDEs are non-linear, linearizations to the Kalman Filter, like the Extended Kalman Filter (EKF) or the Unscented Kalman Filter (UKF), are used to establish approximations to the means and covariances of the filter distributions over time.

Early analysis, in the guise of the Taylor approximation, established an approximation of differentiable functions f by polynomials.

As an application, they establish an approximation theorem of holomorphic forms and a Dolbeault type theorem.

Bogliaccini (2013) established an approximation to prove that deindustrialization in Latin America was related to the application of the Washington Consensus.

In 2011, Gupta and Sharma[11] gave a recurrence formula and established better approximation for q-Durrmeyer operators.

To seek an in-depth understanding of this newly established error approximation, numerical experiments were performed to solve the hyperbolic equation ∂U∂t = −C1 x C2 t)∂U∂x, with both continuous and discontinuous initial conditions.