• 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...
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  • Perron's irreducibility criterion is a sufficient condition for a polynomial to be irreducible in Z [ x ] {\displaystyle \mathbb {Z} [x]} —that is, for...
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  • irreducibility to be proved with very little effort. It may apply either directly or after transformation of the original polynomial. This criterion is...
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  • coefficients Eisenstein's criterion Perron's irreducibility criterion Hilbert's irreducibility theorem Cohn's irreducibility criterion Irreducible component of a...
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  • author Arthur Cohn (b. 1927), Swiss film producer Arthur Cohn (1894–1940), mathematician known for Cohn's irreducibility criterion Avern Cohn (1924–2022)...
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  • theorem (number theory) Chowla–Mordell theorem (number theory) Cohn's irreducibility criterion (polynomials) Critical line theorem (number theory) Davenport–Schmidt...
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  • conjecture and Schinzel's hypothesis H. Integer-valued polynomial Cohn's irreducibility criterion Schinzel's hypothesis H Bateman–Horn conjecture Hardy and Littlewood's...
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  • {\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...
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    has applications in several areas, such as the Routh–Hurwitz stability criterion in control theory. Finally, the coefficients of the polynomials need not...
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    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...
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  • the ends of politics and philosophy were inherently irreconcilable and irreducible to one another. Strauss distinguished "scholars" from "great thinkers...
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  • Thumbnail for David Hilbert
    Hilbert–Schmidt operator Hilbert–Smith conjecture Hilbert–Burch theorem Hilbert's irreducibility theorem Hilbert's Nullstellensatz Hilbert's theorem (differential geometry)...
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  • Thumbnail for Éric Weil
    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"...
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  • 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...
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  • Retrieved October 24, 2017. Boudry, M.; Blancke, S.; Braeckman, J. (2010). "Irreducible Incoherence and Intelligent Design: A Look into the Conceptual Toolbox...
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