algebraic background

algebraic

/ˌældʒɪˈbɹeɪɪk/

Illustration algebraic - Image 1

Illustration algebraic - Image 2

adjective

代数的, 关于代数的。

Of, or relating to, algebra.

Examples :

"The student needed help understanding the algebraic equation on her math homework. "

这个学生需要帮助理解她数学作业上那个代数方程。

Illustration algebraic - Image 1

Illustration algebraic - Image 2

adjective

代数的，关于代数的

(of an expression, equation or function) Containing only numbers, letters and arithmetic operators.

Examples :

"The algebraic equation for calculating the total cost of groceries is 𝑥 + 𝑦 = 𝑧, where 𝑥 represents the cost of apples, 𝑦 the cost of bananas, and 𝑧 the total cost. "

计算食品杂货总价的代数方程是 𝑥 + 𝑦 = 𝑧，其中 𝑥 代表苹果的价格，𝑦 代表香蕉的价格，𝑧 代表总价。

Illustration algebraic - Image 1

adjective

代数的，代数式的。

(of a number) Which is a root of some polynomial whose coefficients are rational.

Examples :

"The square root of 2 is an algebraic number because it's a solution to the equation x² - 2 = 0, where the coefficients (1 and -2) are rational numbers. "

根号2是一个代数数，因为它是一个多项式方程x² - 2 = 0的解，而这个方程的系数（1和-2）都是有理数。

Illustration algebraic - Image 1

adjective

代数的，关于代数的。

(of a field) Whose every element is a root of some polynomial whose coefficients are rational.

Examples :

"In advanced mathematics, a number is considered algebraic if it can be a solution to an equation like "x² - 2 = 0," where the numbers in the equation are rational (like fractions or whole numbers). "

在高等数学中，如果一个数能成为像“x² - 2 = 0”这样的方程的解，并且这个方程中的系数都是有理数（比如分数或者整数），那么这个数就被认为是代数的。

Illustration algebraic - Image 1

adjective

代数的

Examples :

"The chess notation used in the online tournament was algebraic, specifying the squares with file and rank numbers from a fixed point on the board. "

那场线上比赛使用的国际象棋记谱法是代数记谱法，用棋盘上固定位置的坐标来表示每个格子，包括纵线（file）和横线（rank）。

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