# apply a theorem

**Pronunciation:** əˈplaɪ ə ˈθɪərəm · uh-PLY uh THEER-um

**Part of speech:** verb phrase

## Meaning

Use a proven mathematical or logical rule to solve a specific problem or reach a conclusion.

## Examples

- You must apply a theorem from calculus to find the area under this curve.
- Engineers often apply a theorem of physics to ensure the bridge design is stable.
- She was able to apply a theorem she learned in class to simplify the algebraic expression.

## Synonyms

- use — General term for putting something into service.
- employ — More formal way to say use a method or tool.
- utilize — Formal, often used in technical or scientific contexts.
- invoke — Specifically refers to citing or calling upon a rule or authority.

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