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

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

irreducibility to be proved with very little effort. It may apply either directly or after transformation of the original polynomial. This criterion is...

author Arthur Cohn (b. 1927), Swiss film producer Arthur Cohn (1894–1940), mathematician known for Cohn's irreducibility criterion Avern Cohn (1924–2022)...

coefficients Eisenstein's criterion Perron's irreducibility criterion Hilbert's irreducibility theorem Cohn's irreducibility criterion Irreducible component of a...

theorem (number theory) Chowla–Mordell theorem (number theory) Cohn's irreducibility criterion (polynomials) Critical line theorem (number theory) Davenport–Schmidt...

conjecture and Schinzel's hypothesis H. Integer-valued polynomial Cohn's irreducibility criterion Schinzel's hypothesis H Bateman–Horn conjecture Hardy and Littlewood's...

{\displaystyle \square } A typical application of the above criterion is the proof of Cartan's criterion for solvability of a Lie algebra. It says: if g ⊂ g l...

Perine has noted: "it is the category that determines the purity and the irreducibility of the attitude, but it is the attitude that produces the category"...

Hilbert–Schmidt operator Hilbert–Smith conjecture Hilbert–Burch theorem Hilbert's irreducibility theorem Hilbert's Nullstellensatz Hilbert's theorem (differential geometry)...

subgroup corresponding to a subalgebra is not a closed subgroup. There is no criterion solely based on the structure of G {\displaystyle G} which determines...

Butler, conflate the moral faculty with the moral standard. The test or criterion of right action is with Hutcheson, as with Shaftesbury, its tendency to...

has applications in several areas, such as the Routh–Hurwitz stability criterion in control theory. Finally, the coefficients of the polynomials need not...

operator if and only if a or its inverse (if invertible) lies in D The first criterion follows from the fact that the eigenvalues of Q(x) are exactly λiλj if...

the ends of politics and philosophy were inherently irreconcilable and irreducible to one another. Strauss distinguished "scholars" from "great thinkers...

Retrieved October 24, 2017. Boudry, M.; Blancke, S.; Braeckman, J. (2010). "Irreducible Incoherence and Intelligent Design: A Look into the Conceptual Toolbox...