English Dictionary

algebraic number

名詞

(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.

日本語の意味

代数的数：整数係数（または有理数係数のモニック多項式）の多項式の根となる複素数、あるいは一般的には数体の要素

An algebraic number is often easier to study through its minimal polynomial than through its decimal expansion.

代数的数は、しばしば小数展開で扱うよりも最小多項式を通して研究する方が容易である。

意味（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.

The golden ratio (φ) is an algebraic number since it is a solution of the quadratic equation x²+x-1=0, whose coefficients are integers.

algebraic numbers （ plural ）