Irreducible meaning

ĭrĭ-do͝osə-bəl, -dyo͝o-
Impossible to reduce to a desired, simpler, or smaller form or amount.

Irreducible burdens.

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That cannot be reduced.
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Not able to be reduced or lessened.
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Not able to be brought to a simpler or reduced form.
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(mathematics, of a polynomial) Unable to be factorized into polynomials of lower degree, as (x^2 + 1).
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(mathematics, of an integer) Unable to be factored into smaller integers; prime.
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(topology, of a manifold) Not containing a sphere of codimension 1 that is not the boundary of a ball.
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(group theory, of a representation) Impossible to divide further into representations of lower dimension by means of any similarity transformation.
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(mathematics) Such a polynomial.
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Origin of irreducible