irreducibleˌɪr ɪˈdu sə bəl, -ˈdyu-
irreducible
English Definitions:
irreducible (adj)
incapable of being made smaller or simpler
"an irreducible minimum"; "an irreducible formula"; "an irreducible hernia"
irreducible (Noun)
Such a polynomial
irreducible (Adjective)
Not able to be reduced or lessened.
irreducible (Adjective)
Not able to be brought to a simpler or reduced form.
irreducible (Adjective)
Unable to be factorized into polynomials of lower degree, as (x^2 + 1).
irreducible (Adjective)
Unable to be factored into smaller integers; prime.
irreducible (Adjective)
Not containing a sphere of codimension 1 that is not the boundary of a ball.
irreducible (Adjective)
impossible to divide further into representations of lower dimension by means of any similarity transformation
irreducible
In philosophy, systems theory, science, and art, emergence occurs when an entity is observed to have properties its parts do not have on their own, properties or behaviors that emerge only when the parts interact in a wider whole. Emergence plays a central role in theories of integrative levels and of complex systems. For instance, the phenomenon of life as studied in biology is an emergent property of chemistry. In philosophy, theories that emphasize emergent properties have been called emergentism.
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"irreducible." Kamus.net. STANDS4 LLC, 2024. Web. 19 Apr. 2024. <https://www.kamus.net/english/irreducible>.
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