- Hurwitz theorem
- Математика: теорема Гурвица
Универсальный англо-русский словарь. Академик.ру. 2011.
Hurwitz theorem
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Routh–Hurwitz theorem — In mathematics, Routh–Hurwitz theorem gives a test to determine whether a given polynomial is Hurwitz stable. It was proved in 1895 and named after Edward John Routh and Adolf Hurwitz.NotationsLet f(z) be a polynomial (with complex coefficients)… … Wikipedia
Hurwitz — is a surname and may refer to:*Aaron Hurwitz, musician, see Live on Breeze Hill *Adolf Hurwitz (1859 1919), German mathematician **Hurwitz polynomial **Hurwitz matrix **Hurwitz quaternion **Hurwitz s automorphisms theorem **Hurwitz zeta function… … Wikipedia
Hurwitz's automorphisms theorem — In mathematics, Hurwitz s automorphisms theorem bounds the group of automorphisms, via orientation preserving conformal mappings, of a compact Riemann surface of genus g > 1, telling us that the order of the group of such automorphisms is bounded … Wikipedia
Hurwitz's theorem — In mathematics, Hurwitz s theorem is any of at least five different results named after Adolf Hurwitz. Hurwitz s theorem in complex analysis In complex analysis, Hurwitz s theorem roughly states that, under certain conditions, if a sequence of… … Wikipedia
Hurwitz zeta function — In mathematics, the Hurwitz zeta function, named after Adolf Hurwitz, is one of the many zeta functions. It is formally defined for complex arguments s with Re( s )>1 and q with Re( q )>0 by:zeta(s,q) = sum {n=0}^infty frac{1}{(q+n)^{sThis series … Wikipedia
Hurwitz quaternion — In mathematics, a Hurwitz quaternion (or Hurwitz integer) is a quaternion whose components are either all integers or all half integers (a mixture of integers and half integers is not allowed). The set of all Hurwitz quaternions is:H =… … Wikipedia
Hurwitz surface — In Riemann surface theory and hyperbolic geometry, a Hurwitz surface, named after Adolf Hurwitz, is a compact Riemann surface with precisely :84( g − 1) automorphisms, where g is the genus of the surface. This number is maximal by virtue of… … Wikipedia
Routh-Hurwitz stability criterion — The Routh Hurwitz stability criterion is a necessary (and frequently sufficient) method to establish the stability of a single input, single output (SISO), linear time invariant (LTI) control system. More generally, given a polynomial, some… … Wikipedia
Teorema de Hurwitz (análisis complejo) — Este artículo trata sobre el teorema en análisis complejo. Para otros usos del teorema, véase Teorema de Hurwitz. En análisis complejo, un campo de las matemáticas, el teorema de Hurwitz, llamado así por Adolf Hurwitz, expone aproximadamente que … Wikipedia Español
Polynôme de Hurwitz — Un polynôme de Hurwitz, ainsi nommé en l honneur du mathématicien allemand Adolf Hurwitz, est un polynôme d’une variable à coefficients réels dont les racines sont toutes à partie réelle strictement négative. En particulier, de tels polynômes… … Wikipédia en Français
Sturm's theorem — In mathematics, Sturm s theorem is a symbolic procedure to determine the number of distinct real roots of a polynomial. It was named for Jacques Charles François Sturm, though it had actually been discovered by Jean Baptiste Fourier; Fourier s… … Wikipedia
