-
specifically in the
representation theory of
groups and algebras, an
irreducible representation ( ρ , V ) {\displaystyle (\rho ,V)} or
irrep of an algebraic...
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absolutely irreducible if it is
irreducible over the
complex field. For example, x 2 + y 2 − 1 {\displaystyle x^{2}+y^{2}-1} is
absolutely irreducible, but...
- In algebra, an
irreducible element of an
integral domain is a non-zero
element that is not
invertible (that is, is not a unit), and is not the product...
- In mathematics, the
concept of
irreducibility is used in
several ways. A
polynomial over a
field may be an
irreducible polynomial if it
cannot be factored...
- An
irreducible fraction (or
fraction in
lowest terms,
simplest form or
reduced fraction) is a
fraction in
which the
numerator and
denominator are integers...
- Com****tional
irreducibility is one of the main
ideas proposed by
Stephen Wolfram in his 2002 book A New Kind of Science,
although the
concept goes back...
- In
algebraic geometry, an
irreducible algebraic set or
irreducible variety is an
algebraic set that
cannot be
written as the
union of two
proper algebraic...
- In mathematics, an
irreducible polynomial is,
roughly speaking, a
polynomial that
cannot be
factored into the
product of two non-constant polynomials...
- Look up
irreducibility in Wiktionary, the free dictionary.
Irreducibility is the
philosophical principle that a
complete account of an
entity is not possible...
-
Irreducible complexity (IC) is the
argument that
certain biological systems with
multiple interacting parts would not
function if one of the
parts were...