Étienne Bezout

(redirected from Bezout)

Bezout, Étienne

 

Born Mar. 31, 1730, in Nemours; died Sept. 27, 1783, in Basses-Loges, near Fontainebleau. French mathematician. Member of the Parisian Academy of Sciences (1758).

Bezout’s main works are concerned with advanced algebra—the study of the properties of systems of algebraic equations of higher degrees and the exclusion of unknowns in such systems.

WORKS

Théorie générale des équations algébraiques. Paris, 1779.

REFERENCES

Wieleitner, H. Istoriia matematiki ot Dekarta do serediny XIX stoletiia. Moscow, 1960. (Translated from German.)
References in periodicals archive ?
By Bezout we have deg(B) [less than or equal to] 8 with equality if and only if dim(T) = 2 and B = T.
2] are Hankel matrices, the parameters of which are given by the solution of corresponding Bezout equations; see [4].
The two-channel nonsubsampled filter adopted is as As both Nonsubsampled Pyramid Filter Bank and Nonsubsampled Directional Filter Bank satisfy the Bezout identity.
Nautical Almanac Bezout's Treatise Etienne Bezout (1730-1787), Traite de on Navigation Navigation, Courcier, 1814 is a later edition.
Equation (10) is often called the Bezout identity, and all feedback controllers [N.
Cousin, Lacroix, Euler, Bezout, Monge, Legendre, Laplace, Delandre, Brisson, among others adopted by the compendium of mathematics courses.
In m-homogeneous theory the powerful connection of probability-one homotopy methods for polynomials with the field of algebraic geometry is reestablished (see Drexler [1979]) with the generalization of the classical theorem of Bezout.
f] is dominated by the growth of f by the Bezout estimate; when n = 1, the above statement is true again by the Nevanlinna inequality.
The number 2n is known as the Bezout number, named after the French mathematician Etienne Bezout (1730-1783).
In fact, univariate solutions with minimal degree have been identified as the Bezout polynomials, cf.
This term encompasses Bezout numbers, mixed volumes, and combinatorial counts from the Schubert calculus in enumerative geometry.