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An attractor represents the ultimate evolution of a dynamical system when time tends to infinity; after perturbations, an attractor recovers its stable dynamical features, like its period and amplitude.
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The ultimate evolution of all three sectors to the automated real-time bidding world will be an earthshaking event for each, and for the industry as a whole.
But as Palm cultists drifted off to sleep each night clutching their Palm V's to their chests, they dreamed of what they imagined to be the ultimate evolution of the palmtop: a Palm V with a color screen.
FolloWoulde an'tJamie on Twitter.
The interferometric gravitational wave detectors represent the ultimate evolution of the classical Michelson interferometer.
The manufacturers' ultimate goal is to fulfill the vision of the home computer as a powerful, easy-to-use machine that is always at hand and at the ready -- nothing less than what William H. Gates, the chairman of Microsoft, calls the "ultimate evolution of the laptop".
Sharing the nodulation responsibility with more than one nodD gene, as is the case with common bean, suggests the ultimate evolution of the symbiosis, guaranteeing that nodulation occurs under abiotic stresses.
Is Katie Price's ultimate evolution into that of a lipsync savant?
("Sophisticated and edgy, this piece responds to the ultimate evolution in punk art, a movement initiated in the 1970s and questioning the values of bourgeois society," the promotional copy reads.
"Cyberattacks, and their ultimate evolution in the context of warfare, are one of the greatest dangers and risks of the 21st century," he says.
To date, the ultimate reasons for the evolution of a positive association between egg size and maternal egg care are controversial, with recent comparative analyses revealing that its strength is taxon specific [ 11- 15] and when it does occur, that its underlying evolutionary drivers are unclear ([ 8, 10, 14] but see [ 12]).
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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