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This approach needs only a single controller to realize synchronization no matter how many dimensions the chaotic system contains.
This approach needs only a scalar driving signal to realize synchronization no matter how many dimensions the chaotic system contains.
However, it has been shown that for many dimensions the so-called curse of dimensionality may prevent effective cluster analysis, as the similarity measure may become less discriminant [3, 4].
But so many applicants easily pass this bar that other factors also come into play, including exceptional academic potential, ability to contribute to campus diversity in all its many dimensions, the likelihood of making future contributions to the welfare of society, and institutional loyalty.
Only an expert social observer and a "big book" author could render the tragi-comedic elements in its many dimensions: the tinny patter of American business-speak, the cynical manipulator who allows only the "elite" the privilege of being bamboozled by him, the sweetly gullable retirees in Florida, and the many worthy charities and non-profits that are chagrined and have been made destitute.
Further analysis focuses on establishing how many dimensions the perceptual odor space has.
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GCC countries always have Iran on their mind, as it does them, especially through the relationship between Saudi Arabia and Iran, and the many dimensions of the relationship between Sunnis and Shiites.
Principal Component Analysis is then used to reduce the many dimensions within the consensus profile to a smaller number of dimensions, which explain the majority of variation between observed animals.
This summary only begins to touch on the many dimensions of the story.
In this regard, Geddes can be counted amongst those whom we portray as integrative holistic thinkers, people whose worldview draws them toward meaning-making narratives and frameworks that include the many dimensions of the human condition.
Starting with an exciting and hard-nosed action adventure, Hawks projects the eternal triangle into many dimensions, from the grittily practical to the wildly psychodramatic.
Write better and faster with AI suggestions while staying true to your unique style.
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