algebraic

代数の、代数的な

文字や記号で数を表し、未知の値を求める数学に関する。

やさしい英語で： Relating to mathematics that uses letters and symbols to represent numbers and work out unknown values.

• We solved an algebraic equation.
• Write an algebraic expression for the total.
• She used algebraic methods to find the answer.

よく使う表現： algebraic equation, algebraic expression, algebraic methods

代数的な

数、文字、基本的な計算の記号だけで書かれている。

やさしい英語で： Written using only numbers, letters, and signs for basic number operations.

• Write an algebraic expression for the total.
• We simplified the algebraic formula.
• Can you solve these algebraic equations?

よく使う表現： algebraic expression, algebraic formula, algebraic equation

代数的な

有理数を係数とする、ゼロでない多項式の方程式を満たす数をいう。

やさしい英語で： Describing a number that solves a polynomial equation whose fixed numbers can all be written as fractions.

• The square root of two is algebraic.
• Every rational number is algebraic.
• They proved that this complex number was algebraic.

反対語： transcendental

よく使う表現： algebraic number, algebraic root

代数的な

各要素が有理数係数のゼロでない多項式方程式を満たす数学的構造をいう。

やさしい英語で： Describing a mathematical structure whose every member solves a polynomial equation with fixed numbers that are fractions.

• This field is algebraic over the rational numbers.
• Every element of this algebraic field satisfies a suitable polynomial equation.
• We studied an algebraic extension of the rational numbers.

よく使う表現： algebraic field, algebraic extension