Sanakirja
Tekoälykääntäjä
KieliKäännökset
italianumero algebrico
ruotsialgebraiskt tal
saksaalgebraische Zahl
suomialgebrallinen luku
tšekkialgebraické číslo
unkarialgebrai szám

Määritelmät

Substantiivi

  1. (algebra, number theory) A complex number (more generally, an element of a number field) that is a root of a polynomial whose coefficients are integers; equivalently, a complex number (or element of a number field) that is a root of a monic polynomial whose coefficients are rational numbers.

Esimerkit

  • The golden ratio (φ) is an algebraic number since it is a solution of the quadratic equation x^2 + x - 1 = 0 , whose coefficients are integers.
  • The square root of any integer 'n' is an algebraic number since it is a solution of the quadratic equation x^2 - n = 0 , whose coefficients are integers.

Taivutusmuodot

Monikkoalgebraic numbers

(algebra, number theory) A complex number (more generally, an element of a number field) that is a root of a polynomial whose coefficients are integers; equivalently, a complex number (or element of a number field) that is a root of a monic polynomial whose coefficients are rational numbers.

The square root of 2 is an algebraic number equal to the length of the hypotenuse of a right triangle with legs of length 1.

(algebra, number theory) A complex number (more generally, an element of a number field) that is a root of a polynomial whose coefficients are integers; equivalently, a complex number (or element of a number field) that is a root of a monic polynomial whose coefficients are rational numbers.

Algebraic numbers on the complex plane colored by degree (bright orange/red = 1, green = 2, blue = 3, yellow = 4). The larger points come from polynomials with smaller integer coefficients.

(algebra, number theory) A complex number (more generally, an element of a number field) that is a root of a polynomial whose coefficients are integers; equivalently, a complex number (or element of a number field) that is a root of a monic polynomial whose coefficients are rational numbers.

Algebraic numbers colored by degree (blue = 4, cyan = 3, red = 2, green = 1). The unit circle is black.