Translation of continuous function from English into Chinese
Noun
mathematical analysis
- The graph of a continuous function is unbroken.连续函数的图像是连续的。
topology
- Continuous functions preserve the structure of topological spaces.连续函数保持拓扑空间的结构。
Examples of continuous function in a sentence
Students learned about the continuous function in class. In calculus, a continuous function is crucial for analysis. Continuous functions are essential in mathematical modeling.
Translations of "continuous function" in Context ordered by category and frequency
Any continuous function between two topological spaces is monotone with respect to the specialization preorders of these spaces.
任何在两个拓扑空间之间的连续函数都是关于这些空间的特殊化预序的单调函数。
The converse does not hold: a continuous function need not be differentiable.
逆命题则不成立：一个连续函数未必可微。
The definition and theorems on unascertained continuous function between two unascertained topological spaces are introduced.
给出二未确知拓扑空间中的未确知连续函数的定义及定理。
In the following year Netto showed that such a mapping cannot be a continuous function.
第二年托表明，这种映射不能连续函数。
Other translations for continuous function:
- 连续的函数
- 连续的功能
continuous function: Examples and translations in context
Essentially, the rendering process tries to depict a continuous function from image space to colors by using a finite number of pixels.
本质上来讲，渲染过程试图用有限数目的像素将图像空间的连续函数 表现成颜色。
Central to the theory was the concept of uniform continuity and the theorem stating that every continuous function on a closed interval is uniformly continuous.
理论的中心是一致连续的概念和声称所有闭区间上的连续函数是一致连续的定理。
However, a measurable function is nearly a continuous function; see Luzin's theorem.
然而，可测函数几乎是连续函数；参见卢辛定理。
Analog Output: A voltage or current signal that is a continuous function of the measured parameter.
模拟输出： 电压或电流信号，是测量参数的连续函数。
Proof: Take f to be any continuous function on a circle.
证明：取f为圆上的任何连续函数。
This is an example of a Lipschitz continuous function that is not differentiable.
另一个不连续函数的例子为符号函数 。
See also: