irreducible
adjective
No English definition recorded for this entry.
L337903 on Wikidata ↗Wiktionary
Pronunciation: /ˌɪɹɪˈdjuːsɪbəl/
adj
Etymology: Etymology tree Proto-Indo-European *né Proto-Indo-European *n̥- Proto-Italic *n̥- Latin in-bor. Middle English in- English ir- English reduce Proto-Indo-European *-tḗr Proto-Indo-European *-dʰlom Proto-Indo-European *-dʰlis Proto-Italic *-ðlis Latin -bilis Latin -ibilis Old French -ibleder. Middle English -ible English -ible English reducible English irreducible From ir- + reducible.
- Not able to be reduced or lessened.
“With each reduction in the number of railways, there must come, eventually, a decline in interest, if only through reduction in variety; and when it comes to one nationalised railway only we have reached the irreducible minimum.”
- Not able to be brought to a simpler or reduced form.
- Unable to be factorized into polynomials of lower degree, as (x² + 1).
- Whose numerator and denominator share no common factor greater than 1.
- Unable to be factored into smaller integers; prime.
- Whose only divisors are units and associates.
- Inexpressible as the union of two proper algebraic subvarieties.
- Not containing a sphere of codimension 1 that is not the boundary of a ball.
- Impossible to divide further into representations of lower dimension by means of any similarity transformation.
noun
Etymology: Etymology tree Proto-Indo-European *né Proto-Indo-European *n̥- Proto-Italic *n̥- Latin in-bor. Middle English in- English ir- English reduce Proto-Indo-European *-tḗr Proto-Indo-European *-dʰlom Proto-Indo-European *-dʰlis Proto-Italic *-ðlis Latin -bilis Latin -ibilis Old French -ibleder. Middle English -ible English -ible English reducible English irreducible From ir- + reducible.
- Such a polynomial