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What does with respect to mean?

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

Preposition
  1. Regarding; concerning; pertaining to.
  2. (mathematics) Taking as the independent variable.
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Examples
As Polsby points out, the art of the gerrymander is another instance with respect to which the constitutional order has been turned on its head.
Furthermore, the epicycle does not move at a uniform rate with respect to the centre of the deferent or the Earth.
Similarly, neither of the two units will be damaged if the trailer jackknifes with respect to the tractor.
While neither side disputed the facts with respect to integration, they quarrelled over differing interpretations of the consequences.
It was predicted that altruists and non-altruists would still be differentiable to perceivers with respect to helpfulness.
Students were queried with respect to individual needs in order to create an optimal learning environment.

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