Sentence examples for applications for approximating from inspiring English sources

Under this consideration, we will introduce the combined delta (Δ, or forward) and nabla (∇, or backward) dynamic derivatives, explore their basic properties, and investigate their applications for approximating classical derivative functions and for solving differential equation problems in this paper.

The finite element method (FEM) is a widely employed numerical technique for approximating the solution of partial differential equations (PDEs) in various science and engineering applications.

For some applications, approximating a wireless mesh network with an abstract graph may be a simplification that is too far from reality.

According to central limit theorem, allocated processing power for applications is approximated by a Gaussian random variable.

In particular, we will show that the performance metric for these applications can be approximated by J ( H ~, H ) ≈ vec H ( H ~ ) I adm vec ( H ~ ), (16).

The Johnson-Lindenstrauss (JL) theorem has found numerous applications, including searching for approximate nearest neighbors (ANNs) [18] and dimension reduction in database, and so forth, by the JL lemma [22], points in Euclidean space can be projected from the original dimensions down to lower dimensions while just incurring a distortion of at most in their pairwise distances, where.

Since the approximate exponentiation has many application [B.Ravikumar, A Las Vegas randomized approximation algorithm for approximate exponentiation and its applications, in preparation] we hope that our algorithm will stimulate further research on this problem.

However, they can only provide a coarse-grained estimate of each node's location, which means that they are only suitable for applications requiring an approximate location estimate.

For engineering applications, the approximate enthalpy is then transformed into a generalized Timoshenko model which has the traditional six mechanical degrees of freedom along with an extra one-dimensional electric degree of freedom.

It is frequently necessary to perform parameter rescaling to achieve computational feasibility for parameter regimes of interest (e.g., N > 10 with long flanking sequences), particularly for applications such as approximate Bayesian computation that require millions of simulations for accurate inference.

The values reported in the other sources should be treated as more approximate values, suitable for approximate PCM application calculations, but, in fact, outside the uncertainty limits that have been put forward, which demand an uncertainty of less than 10%[16]6].