Sentence examples for approximation along with from inspiring English sources

A finite element approximation along with a Newton Raphson numerical scheme provide a very elegant and accurate way to solve the structural problem.

The Chebyshev approximation along with the Remez algorithm is utilized to find the unknown construction parameters and the error of the function.

In this paper, the classical linear driving force approximation, along with the parabolic concentration gradient assumption, is applied to a number of simple geometries.

A model built using the shallow arch approximation along with a nonlinear finite element analysis were used in order to study the influence of the suspension architecture on the stability limits of the structure and for evaluation of design parameters of the actuator.

Implementing the Born approximation along with Tikhonov regularization we demonstrated that hyperspectral information was shown to have utility for a pixel-based reconstruction of chromophores [ 10].

And then there was "The Liberal Clause: Socialism on a Sleigh" — written by David Hedrick, who lost in the Republican primary for a House seat in Washington — an illustrated chestnut wherein Barack Obama, Nancy Pelosi, and a dour-looking approximation of Harry Reid (along with special guests Stalin and Mao) conspire to attack freedom and spoil Christmas.

Utilizing the Monte Carlo method, design parameters were subject to variation and the variation in response was predicted using the approximation model along with the probability of failure measured against experimental results and baseline finite element responses.

By using the distance function, tool path optimizations for semi-finish and finish millings are formulated as two constrained optimization problems in a unified framework, and a sequential approximation algorithm along with a hierarchical algorithmic structure is developed for the optimization.

Models were fitted to raw data using full information maximum likelihood to account for data missing at random and alternative models were compared using chi-square likelihood ratio test of comparative model fit, comparative fit index (CFI), and root mean square error of approximation (RMSEA), along with a number of other parameters (Supplementary material).

16 The questions included what time (to the nearest minute) the infant or child 'normally' went to bed in the evening and woke in the morning on an average weekday; from this response, night-time sleep duration was calculated, along with a categorical approximation of daytime sleep (none, <1 h, 1 2 h, >2 h, from which estimates of 0, 0.5, 1.5 and 2.5, respectively, were used).

Unlike other numerical techniques, SBFEM provides an analytical solution in the radial direction with numerical approximation along the discretised faces of the monopile foundation.