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What does uncorrelated mean?

Looking for the meaning or definition of the word uncorrelated? Here's what it means.

Adjective
  1. Not correlated
  2. (statistics) Having a covariance of zero
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Examples
To judge this number, note that the scalar product between uncorrelated motions follows a Gaussian distribution of 0.015 half-width.
One of the attention tests, the attention switching test, was even shown to be uncorrelated in either experiment.
In large alignments, with fairly randomly scattered ambiguities, site-pattern probability estimates remain close to uncorrelated.
The in-plane positions of the pores in fluid membranes were uncorrelated between adjacent bilayers.
In general, in full hydration, the peptide organization in each lipid bilayer is uncorrelated to the neighboring bilayers.
The sampling interval must therefore be long enough to assure a collection of uncorrelated bilayer configurations.

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