Sentence examples for by the zeroth order from inspiring English sources

A fundamental difference of this approach to the traditional Taylor expansion is in development of the basic equations for higher order probabilistic characteristics, where traditional linearization procedure (expectation is approximated by the zeroth order term) has been replaced by sequential (iterative) symbolic calculation of these characteristics.

This probe size is mainly limited by diffraction and by the fifth order spherical aberration.

(10)–(12) by the fourth order Runge-Kutta method from y = 0.01 to y = 0.99.

The considered system is governed by the third order differential equation.

The CNS equations are numerically solved by the second order multidimensional upwind method.

First, a linear response surface is formed by searching for the design point by the first order reliability method.

The accumulated lethality was calculated and the obtained data were well described by the first order kinetic model.

The kinetics of phenanthrene biodegradation in all experiments was best fitted by the first order rate model.

The slow extraction system is used to provide quasi-continuous beam by the third order resonance and RF-knockout scheme.

The analyses have been performed by the first order reliability method (FORM) together with a model correction factor.

We solve them numerically by the fourth order Runge Kutta method and the results are discussed as follows.