Translation guide
The English word "equation" can refer to a mathematical statement of equality, a process of equating one thing with another, or a complex situation with many variables. This guide covers how to express these meanings naturally in Japanese.
A statement that two mathematical expressions are equal, typically using an equals sign.
The standard term for a mathematical equation, especially one involving variables (e.g., linear equation, quadratic equation).
この方程式を解いてください。
Please solve this equation.
二次方程式は中学で習います。
Quadratic equations are learned in middle school.
Refers to an equality, often used in formal mathematical contexts. It emphasizes the relationship of equality rather than the process of solving.
この等式は常に成り立つ。
This equation always holds true.
A general term for a mathematical expression or formula. Can be used for equations in casual contexts, but is broader than just equations.
この式を簡単にしてください。
Simplify this equation.
The process of treating two things as equivalent or the same, often in abstract or figurative contexts.
Means 'to equate A with B' or 'to identify A as B'. Used when someone treats two distinct things as the same.
彼は富を幸福と同一視している。
He equates wealth with happiness.
その二つの概念を同一視するのは危険だ。
It is dangerous to equate those two concepts.
Literally 'to regard as equal'. More formal and explicit than 同一視する.
この理論では、質量とエネルギーを等しいと見なす。
This theory equates mass and energy.
A colloquial expression using the English loanword 'equal'. Often used in casual conversation to mean 'to equate' or 'to link with an equal sign'.
彼はすぐにお金と成功をイコールで結びたがる。
He tends to equate money with success.
A situation involving many variables or considerations, often used figuratively.
Literally 'complex equation', used metaphorically to describe a complicated situation with many interacting elements.
人間関係は複雑な方程式のようなものだ。
Human relationships are like a complex equation.
A more literal description: 'a problem containing many variables'. Suitable for formal or analytical contexts.
この政策決定は多くの変数を含む問題だ。
This policy decision is an equation with many variables.
While 方程式 can be used metaphorically, it is not natural for all figurative uses. For the act of equating two concepts, use 同一視する or similar patterns instead.
方程式 (equation) typically involves solving for unknowns, while 等式 (equality) simply states that two expressions are equal. In school math, 方程式 is the common term.