Sentence examples for order least from inspiring English sources

Exact(4)

"The local authority cannot press for a more drastic form or order, least of all press for adoption, because it is unable or unwilling to support a less interventionist form of order," it said.

We present and analyze a first order least squares method for convection dominated diffusion problems, which provides robust L2 a priori error estimate for the scalar variable even if the given data f∈L2.

Then we developed a predictive equation using spike controls to relate observed hybridization signal to known DNA target concentration: Zi = a+b1*Yi+b2*Yi2, where a, b1, and b2 are the intercept, linear, and quadratic regression coefficients from a second order least squares regression model, and Zi is the normalized signal intensity.

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If necessary, corrections (shortening of the linear range) were done and 1st-, 2nd- and 3rd- order least-squares regression was conducted again.

Based on a polynomial method, two alternative statistical models (linear and nonlinear) were assessed relative to which is most likely to be true (1st-, 2nd- and 3rd- order least-squares regression).

Thus we propose new design criteria to construct optimal regression designs based on the second-order least squares estimator.

However, when the error distribution is not symmetric, the second-order least squares estimator is more efficient than the ordinary least squares estimator.

We study the optimal design problem under second-order least squares estimation which is known to outperform ordinary least squares estimation when the error distribution is asymmetric.

Comparison results with those of exact solution illustrate efficiency of proposed numerical methods, also Shi et al. (2013) applied a new low-order least squares nonconforming characteristics mixed finite element method (MFEM) for solving two-dimensional Burgers' equation.

In this paper, we investigate the locally and maximin optimal design problems for multi-factor nonlinear models based on the second-order least squares estimator (SLSE), it is shown that the product-type designs are optimal based on the SLSE for the multi-factor nonlinear models without constant term when the sufficient conditions are satisfied.

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