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What does irreducibility mean?

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

Noun
  1. (uncountable) The quality or degree of being irreducible.
  2. (countable) Something that is irreducible.
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Examples
It is the characters' many-sidedness, their irreducibility to a formula, that he believes accounts for readers' continuing delight in Joyce's narrative.
The fact that mind evades complete objectification is not a signal of its irreducibility to mechanics.
This paper studies analytic maps between free spectrahedra, and under certain irreducibility assumptions on the convex sets, classifies all those that are bianalytic.
In addition, she rightly admits the inherent irreducibility of all media.
Irreducibility can be characterized by saying that all the projects are linked together, both forwards and backwards.
The lyric can be a place in which to insist on the irreducibility of desire.

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