Sentence examples for trajectories 1 from inspiring English sources

The relationship between the two sets of trajectories (1) motivates the shift of focus from the original problem to the more general one and (2) underlies the engineering relevance of the study of the second problem.

If these hypotheses are satisfied, the Hamiltonian satisfies the following conditions along the optimal trajectories: 1. H x, ∇V,ϕ,ψ ∗)≤H x, ∇V, ϕ ∗,ψ ∗)≤H x,∇V,ϕ ∗,ψ).

Two tests have been used to compare the control performances when the vehicle is driven in straight trajectories: (1) a running test on a road based on the standard ISO 8606 and, (2) a road that excites the vertical dynamics at different frequencies (Bounce Sine Sweep test).

Instead, their current activities have two trajectories: (1). to highlight existing power abusers; and (2). to find ways to return power to the people.

Dynamics trajectories (1 ns equilibration, 5 ns total for each trajectory, 30 40,000 atoms depending on the system) were run in the NPT ensemble (1 atm, 300 K) using periodic boundary conditions and rhombic dodecahedral geometry.

Likewise, edge plots had sharply elevated spatial variability in overall tree-community change (F18,20 = 17.76, P<0.0001), floristic trajectories 1 and 2 (both F18,20>9.08, P<0.0001), the abundance of pioneer and invasive trees (F32,32 = 11.59, P<0.00001), and tree-species turnover (F18,20 = 15.25, P<0.0001), relative to forest interiors (all F-tests comparing variances in edge vs. interior plots).

The necessity of studying such maps arises, for example, in the problems concerning asymptotic behavior of controlled systems trajectories [1, 2].

We present TRAVIS ("TRajectory Analyzer and VISualizer"), a free program package for analyzing and visualizing Monte Carlo and molecular dynamics trajectories [1].

Figure 5 Synchronization error trajectories (pmb{e_{i1}(t)}), (pmb{i=1,ldots,8}).

(b) The longest trajectory L1 is splitted into two trajectories L11 and L12, so there are four trajectories now.

Of 49 tested change trajectories, 11 showed a significant association.