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What does covary mean?

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

Verb
  1. (statistics) To vary together with another variable, particularly in a way that may be predictive
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Believing that entropy values covary with the size of the universe, Gold asserts that at the maximum radius the thermodynamic arrow will 'flip' due to the re-contraction.
First, the belief that two events are causally related produces the belief that they covary.
This is because functional properties necessarily covary with the class of properties that are their possible realizers.
The vector of observables depends on the contemporaneous state and may also covary with the contemporaneous state innovation.
Section 2 examines how aggregate real GDP and public capital covary over time and shows the difficulty in disentangling the effects of public capital and growth in multifactor productivity.

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