Polynomial
Polynomial In mathematics, a polynomial is an expression in which constants and ... 5 y z - 2 \, is a polynomial, but $\{1\; \backslash over\; x^2\; +\; 1\}\; \backslash ,$ is not a polynomial. A polynomial function is a function defined by ...
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Monic
Monic In mathematics, monic can refer to monic morphism – a special kind of morphism in category theory, monic polynomial – a polynomial whose leading coefficient ...
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Minimal polynomial
Minimal polynomial In mathematics, the minimal polynomial of an object α is the monic polynomial p of least degree such that p ... α)=0. The properties of the minimal polynomial depend on the algebraic structure to ...
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Talk:Polynomial
Talk:Polynomial Quadratic formula Early usage: For LarrySanger At ... 2 -2xy+x 2 . This is a polynomial in the two variables, x and y ... x + a 0 The degree of a polynomial is the highest total of powers of ... of a single term, so in the polynomial 2xy 2 + x 2 the degree is ... of one). The standard form of a polynomial is when you write it with ...
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Characteristic polynomial
Characteristic polynomial In linear algebra, one associates a polynomial to every square matrix, its characteristic polynomial or secular equation. This polynomial encodes several important properties of the matrix ... matrix A, we want to find a polynomial whose roots are precisely the eigenvalues ...
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Generic polynomial
Generic polynomial In Galois theory, a generic polynomial for a finite group G and field F is a monic polynomial P with coefficients in the field L ... obtained as the splitting field of a polynomial which is the specialization of P ...
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Polynomial long division
Polynomial long division In algebra, polynomial long division is an algorithm for dividing a polynomial by another polynomial of lower degree, a generalized version of ... qquad\qquad\;\; -123 \end{matrix} The polynomial above the bar is the quotient, ...
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Bernstein-Sato polynomial
Bernstein-Sato polynomial In mathematics, the Bernstein-Sato polynomial is a construction of Joseph Bernstein and ... It is also known as the Bernstein polynomial, the b-function, and the b-polynomial (it is not related to the Bernstein polynomial used in approximation theory). It has ...
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Talk:Characteristic polynomial
Talk:Characteristic polynomial This description gets a bit murky to ... non-mathematician at the definition of the polynomial. What is t? What is a "polynomial ring"? Is there a simpler way to ... what the goal was (to get a polynomial whose zeros are the eigenvalues) and it ... det(tI-A), since that is a monic polynomial and it works better with ...
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Talk:Ruffini's rule/Archive
... s rule gives a shorthand algortithm for polynomial long division. It only works, however, when ... s an even more special case of polynomial long division.) So it appears that 1 ... s rule; we could just use regular polynomial long division if we preferred. Hence I ... rule is not the rearrangement of the polynomial into the form $p(x)\; =\; a\_0\; ...\; to\; make\; the\; recursive\; evaluation\; of\; the$polynomial clearer. The important part is this ...
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