介值定理英文解释翻译、介值定理的近义词、反义词、例句
英语翻译：
【计】 intermediate value theorem
分词翻译：
值的英语翻译：
cost; value; happen to; on duty【医】 number; titer; titre; value
定理的英语翻译：
theorem【化】 theorem
【医】 theorem
网络扩展解释
介值定理
介值定理拼音：jiè zhí dìng lǐ。介值定理是微积分学中的一个重要定理，可以用来证明一个连续函数在一个区间内取遍其的最大值和最小值。
英文解释
In English, the intermediate value theorem states that if a continuous function has values of f(a) and f(b) at endpoints a and b of a closed interval [a, b], then it must also take on all values between f(a) and f(b) somewhere within that interval.
英文读音
The English pronunciation for intermediate value theorem is "in-ter-mee-dee-ut vahl-yoo theer-uhm."
英文用法
In English, intermediate value theorem is a mathematical concept used to prove that a continuous function takes on all values between a given range.
英文例句
- By using the intermediate value theorem, we can prove that this function will cross the x-axis at least once in the given interval.
- According to the intermediate value theorem, the function must pass through zero at some point between -1 and 1.
- We applied the intermediate value theorem to show that the function has a root between 2 and 3.
英文近义词
- Mean value theorem - 平均值定理
- Extreme value theorem - 极值定理
- Bolzano's theorem - 博尔札诺定理
英文反义词
The opposite of the intermediate value theorem is that there exists discontinuity in a function between two points, which means there is a jump in a function within a given interval.
英文单词常用度
The intermediate value theorem is a commonly used concept in mathematics and is frequently referenced in calculus textbooks and courses.