Sentence examples for first order using from inspiring English sources

More explicitely, at the first order, using the classical polar parametrisation, where ρ is the distance between the line and the origin, and θ is the angle made by the normal to the line with the x axis, if there is a line passing through point p, we must have begin{array}rcl@ theta_{mathbf{p}} & = & arg{nabla I}, end{array} (9).

The prism aberrations were corrected up to fourth order using multipole elements improving the electron optical energy resolution and increasing the acceptance of the spectrometer for a combination of object area and collection angles.

Comparatively, convergence (to 6 decimal places) was achieved at the twentieth order using the homotopy analysis method and at the fifteenth order in the case of the homotopy-Padé method.

Once the efficiencies have been fixed by applying the correction factors, the overall efficiency curve is obtained by fitting the experimental points to a polynomial logarithmic function of the fifth order using a nonlinear least square fit.

The fluxes are then extended to second-order using van Leer's MUSCL extrapolation technique.

This is an improvement over previous systems, where execution time of the second-order using a greater amount of hardware has been proposed.

The lateral root was classified according to the number of roots of second orders using a stereomicroscope.

In the present paper, we have derived generalized non-polynomial cubic spline schemes of second- and third-order using a variable mesh for solving system of two point boundary value problems (1 - 2).

Suppression of the zero order passband would be particularly effective as there is significant overlap, up to twice the Abbe limit, of the first and second orders used in 3D SIM patterns.

All aberrations were measured to the fifth Zernike order using a 6.5 mm pupil.

A first order transformation using nearest neighbor resampling was used.