极限定理英文解释翻译、极限定理的近义词、反义词、例句
英语翻译：
【计】 limit theorem
分词翻译：
极限的英语翻译：
limit; terminal; the maximum; utmost
【化】 limit(ing) point
定理的英语翻译：
theorem
【化】 theorem
【医】 theorem
网络扩展解释
极限定理
极限定理的拼音为“jí xiàn dìng lǐ”，其中“极限”指数学中的极限概念，而“定理”则指证明过程中需要遵循的定理。
英语解释
The Extreme Value Theorem is a fundamental theorem in calculus that states that a continuous function on a compact interval attains a minimum and a maximum value.
英文读音
The English pronunciation of "Extreme Value Theorem" is /ɪkˈstriːm ˈvæljuː θiərəm/.
英文用法
The Extreme Value Theorem is used in calculus to prove the existence of extreme values for continuous functions on a given interval. It has applications in optimization problems and in the study of functions of several variables.
英文例句
- The Extreme Value Theorem guarantees that a continuous function on a closed interval will have both a minimum and a maximum.
- By applying the Extreme Value Theorem, we can find the global maximum of the function on the interval.
- The Extreme Value Theorem is a powerful tool in the study of optimization problems.
英文近义词
- Bolzano's Theorem: This is a theorem that is equivalent to the Extreme Value Theorem in one dimension.
- Weierstrass' Theorem: This is a generalization of the Extreme Value Theorem to functions of several variables.
英文反义词
- The Intermediate Value Theorem: This theorem states that if a function is continuous on a closed interval, then it takes on every value between two endpoints.
- No Extreme Value Theorem: This is not a formal theorem, but rather a situation where a function is unbounded and does not have a maximum or minimum.
常用程度
The Extreme Value Theorem is a fundamental result in calculus, and is taught in most introductory calculus courses. It is also used in advanced calculus courses, as well as in optimization and numerical analysis.