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If the system starts within Ω, then on relatively short time scales we expect the system to rapidly converge to (mathbf{u}_{s}) along a classical deterministic trajectory, with noise generating Gaussian-like fluctuations about this trajectory.
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So by about 1970, this trajectory of reduction came to a screeching halt where Modernism could go no further -- nothing was left to give up!
Note that the expected mutant frequency is described by the same logistic function as the standard diffusion approximation, but that the dispersion about this deterministic trajectory will necessarily be symmetric.
"The Turks are obviously very concerned about the trajectory of this conflict, and they should be," he said.
He's a satisfied man living a fortunate life, singing about the trajectory from being "this scruffy, beat-up, working-class teenage troubadour" to a thoughtful, happily married father who's still getting "lotsa sexy loving," as one song puts it, and others determinedly insist.
This leaves the audience puzzled about the trajectory of his character, which is meant to be more heroic than it plays here.
Finally, long-standing questions about the inferences one can draw about evolutionary trajectories, possible or actual, from the output of analytical or computational optimization algorithms should be addressed.
Randolph, though, does know this: it's not about the highs and lows, it's about the trajectory.
Richard Karlgaard, the publisher of Forbes and a longtime colleague of Mr. Gilder's, put it this way: "I don't think anything he's said or written about the trajectory of technology or the underlying economics has been wrong.
"This is the most sweeping statement of concern by a federal agency about the trajectory of coral reefs to date," he points out.
Review how triangulation was used to reveal information about the trajectory of the Neuschwanstein meteorite.
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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com