irreducibility's Usage Examples:

rational numbers, but it does allow in certain important cases for irreducibility to be proved with very little effort.

In philosophy, a phenomenona is governed by the principle of irreducibility when a complete account of an entity is not possible at lower levels of explanation.

The property of irreducibility depends on the nature of the coefficients that are accepted for the.

In mathematics, the concept of irreducibility is used in several ways.

Arthur Cohn's irreducibility criterion is a sufficient condition for a polynomial to be irreducible in Z [ x ] {\displaystyle \mathbb {Z} [x]} —that is.

the common method is to take a polynomial at random and test it for irreducibility.

In number theory, Hilbert's irreducibility theorem, conceived by David Hilbert in 1892, states that every finite set of irreducible polynomials in a finite.

Absolute irreducibility more generally holds over any field not of characteristic two.

For instance, he argues that the concept of computational irreducibility (that some complex computations are not amenable to short-cuts and cannot.

In mathematics, Abel's irreducibility theorem, a field theory result described in 1829 by Niels Henrik Abel, asserts that if ƒ(x) is a polynomial over.

Computational irreducibility is one of the main ideas proposed by Stephen Wolfram in his book A New Kind of Science.

Arguments for irreducibility often assume that things started out the same way they ended up—as we.

Assuming irreducibility, the stationary distribution is always unique if it exists, and its.

Shorey's contribution to irreducibility of Laguerre polynomials is extensive.

Other conventions do not require irreducibility.

"The irreducibility of the space of curves of given genus".