Bézout's theorem is a statement in algebraic geometry concerning the number of common zeros of n polynomials in n indeterminates. In its original form...

geometry, the multi-homogeneous Bézout theorem is a generalization to multi-homogeneous polynomials of Bézout's theorem, which counts the number of isolated...

In algebra, the polynomial remainder theorem or little Bézout's theorem (named after Étienne Bézout) is an application of Euclidean division of polynomials...

the minor planet 17285 Bezout was named after him. Little Bézout's theorem Bézout's theorem Bézout's identity Bézout matrix Bézout domain O'Connor, John...

mathematics, Bézout's identity (also called Bézout's lemma), named after Étienne Bézout who proved it for polynomials, is the following theorem: Bézout's identity — Let...

has 7 points A, B, C, D, E, F, P in common with the conic. But by Bézout's theorem a cubic and a conic have at most 3 × 2 = 6 points in common, unless...

generalization of Bézout's theorem. (For a proof, see Hilbert series and Hilbert polynomial § Degree of a projective variety and Bézout's theorem.) The degree...

X_{n}-\alpha _{n}\rangle .} Bézout's theorem may be viewed as a multivariate generalization of the version of the fundamental theorem of algebra that asserts...

generalization to several variables of the assertion that complex roots exist Bézout's theorem, a generalization to several variables of the assertion on the number...

on the numerators this proves the following generalization of Bézout's theorem: Theorem - If f is a homogeneous polynomial of degree δ {\displaystyle...