conjugate roots

conjugate roots
noun plural
: roots of an algebraic equation that are conjugate complex numbers

Useful english dictionary. 2012.

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  • conjugate roots — jungtinės šaknys statusas T sritis automatika atitikmenys: angl. conjugate roots vok. konjugiert komplexeWurzeln, f rus. сопряжённые корни, m pranc. racines conjuguées, f …   Automatikos terminų žodynas

  • Conjugate element (field theory) — Conjugate elements redirects here. For conjugate group elements, see Conjugacy class. In mathematics, in particular field theory, the conjugate elements of an algebraic element α, over a field K, are the (other) roots of the minimal polynomial pK …   Wikipedia

  • conjugate — I. adjective Etymology: Middle English conjugat, from Latin conjugatus, past participle of conjugare to unite, from com + jugare to join, from jugum yoke more at yoke Date: 15th century 1. a. joined together especially in pairs ; coupled b.… …   New Collegiate Dictionary

  • conjugate numbers — Math. the set of roots of an algebraic equation that cannot be factored. [1905 10] * * * …   Universalium

  • conjugate numbers — Math. the set of roots of an algebraic equation that cannot be factored. [1905 10] …   Useful english dictionary

  • Properties of polynomial roots — In mathematics, a polynomial is a function of the form: p(x) = a 0 + a 1 x + cdots a n x^n, quad xin mathbb{C}where the coefficients a 0, ldots, a n are complex numbers. The fundamental theorem of algebrastates that polynomial p has n roots. The… …   Wikipedia

  • Complex conjugate root theorem — In mathematics, the complex conjugate root theorem states that if P is a polynomial in one variable with real coefficients, and a + bi is a root of P with a and b real numbers, then its complex conjugate a − bi is also a root… …   Wikipedia

  • Complex conjugate — Geometric representation of z and its conjugate in the complex plane In mathematics, complex conjugates are a pair of complex numbers, both having the same real part, but with imaginary parts of equal magni …   Wikipedia

  • Problem of Apollonius — In Euclidean plane geometry, Apollonius problem is to construct circles that are tangent to three given circles in a plane (Figure 1); two circles are tangent if they touch at a single point. Apollonius of Perga (ca. 262 BC ndash; ca. 190 BC)… …   Wikipedia

  • Discriminant — In algebra, the discriminant of a polynomial is an expression which gives information about the nature of the polynomial s roots. For example, the discriminant of the quadratic polynomial is Here, if Δ > 0, the polynomial has two real roots,… …   Wikipedia

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