Sentence examples for order advanced from inspiring English sources

The aim of this paper is to study the asymptotic properties and oscillation of the n th order advanced differential equations.

In comparison to PI and PID controllers, a higher order "advanced" controller is shown to improve the performance of an experimental robot for speed and position control applications.

In this paper, we shall study the asymptotic and oscillation behavior of the solutions of the higher order advanced differential equations ( r ( t ) [ x ( n − 1 ) ( t ) ] γ ) ′ + q ( t ) x γ [ τ ( t ) ] = 0. (1.1).

Rein tension decreased among horse categories in the following order: advanced horses/young horses/medium and basic horses, with several significant pairwise comparisons.> -wrap-foot> The model also contained the fixed effects of stride percentage (P < 0.0001) and its interaction with rein (P < 0.0001).

The Republican Party, meanwhile, continues to bend to Trump: Speaker of the House Paul Ryan said on Monday that the order "advances our shared goal of protecting the homeland".

Forward-looking new orders advanced to 54.3 from 53.3, and exports rose to 51 from 49.5, a move to expansion from contraction.

For (tgeq1) and (q_{0}>0), consider the second-order advanced differential equation (3.25).

Example 3.3 For t ≥ 1, consider a second-order advanced damped differential equation x ″ ( t ) + x ′ ( t ) + x ( t + 1 ) = 0, (3.3).

Similar ideas as those presented here have been successively employed in investigating oscillatory behavior of second-order advanced differential equations, see a recent work [27] for details.

Example 3.2 For t ≥ 1, consider the second-order advanced differential equation ( e t x ′ ( t ) ) ′ + e 6 t t x 3 ( 2 t ) = 0. (3.2).

For (tgeq1), consider a second-order advanced differential equation with damping bigl(t^{2}x'(t) bigr)'+ frac{t}{2}x'(t)+q_{0}x 2t)=0, (3.25) where (q_{0}>0) is a constant.