Sentence examples for a trajectory from which from inspiring English sources

Using such a geometrical approach and partly analytical theory, the original empirical classification of excitability was further pursued with bifurcation analysis [6], explaining class I by identifying its threshold as a stable manifold of a saddle point on an invariant cycle and the threshold of class II as a trajectory from which nearby trajectories diverge sharply (called canard trajectory).

More than one million children go through the divorce of their parents each year in the U.S. Research by Penn State sociologist Paul Amato finds that children who have divorced parents will most often have a lower quality of life and be placed on "a downward trajectory from which they might never fully recover".

At pretty much the exact same time as games like Time Crisis started appearing in the hallowed halls of the British arcades, its commercial future began a downward trajectory from which it would never recover.

It was the sort of distance, angle and trajectory from which Nayim scored his goal for Real Zaragoza against Arsenal in the Cup Winners' Cup final in 1995.

For each trajectory in the tree, the algorithm determines the set of states near the nominal trajectory from which the system can be transfered to the upper equilibrium without violating the state and input constraints using the feedback controller of the trajectory.

Likewise, the second formula starts from the same arbitrary initial state and enforces that there should exist at least one trajectory from which this initial state is again reached, meaning that there should exist at least one cycle from this state.

Given the stochastic nature of an asynchronous update scheme, when using population averaged data (as has been the case so far) one needs to run the simulation many times to generate a set of trajectories from which a consensus can be obtained.

There was a variety of calculated trajectories, from which we choose those which reach the receiver, and the selected paths provide a synthesis of the oblique ionograms.

The results from three previous processing steps are raw data of vehicle trajectories, from which a comprehensive data mining algorithm can then be used to extract interested traffic data, such as vehicle speed, volume, waiting time and accepted/rejected gap size.

A shift of 3 nm is reached when the trajectories are 30 nm away far from the reference protein, which is the maximal distance of a trajectory from its reference in our model.

Our EPBD-based Langevin molecular dynamics computer simulations and the analysis of the dynamic trajectories, from which we derived the average bubble lifetimes, are performed as previously reported [15].