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Irreducible
Meaning
Adj
●
Not able to be
reduced
or lessened.
●
Not able to be
brought
to a
simpler
or
reduced
form.
●
In Mathematics:
Unable to be
factorized
into
polynomials
of lower
degree
, as (x² + 1).
●
In Number theory:
Whose
numerator
and
denominator
share
no
common factor
greater than
1.
●
In Number theory:
Unable to be
factored
into
smaller
integers
; prime.
●
In Algebra:
that its only
divisors
are
units
and associates.
●
In Topology:
Not
containing
a
sphere
of
codimension
1 that is not the
boundary
of a ball.
●
In Group theory:
Impossible to
divide
further into
representations
of lower
dimension
by means of
any
similarity
transformation.
Noun
●
In Mathematics:
Such a polynomial
Sourced from
Wiktionary
Origin
irreducible
English
ir-
English
reducible
English
Sourced from
Etym
Antonyms
Unincreasable
Reducible
Related
Invariant
Indivisible
Intrinsic
Ineffable
Transcendental
Immutable
Inherent
Constitutive
Unobservable
Observable
Inseparable
Ontological
Infinite
Integral
Unchangeable
Absolute
Eternal
Inalienable
Axiomatic
Arbitrary
Indefinable
Finite
Metaphysical
Separable
Computable
Unitary
Complementary
Existential
Innate
Continuous
Universal
Orthogonal
Nonzero
Incorporeal
Immanent
Incommensurable
Invertible
Imaginary
Indefinite
Irrelevant
Inconsistent
Describable
Incoherent
Probabilistic
Ineluctable
Meaningless
Divisible
Interpretive
Integer
Discursive
Foundational
Isomorphic
Indeterminate
Interdependent
Parallel
Epiphenomenal
Inescapable
Mortal
Implicit
More
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