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continuous function
Definition
Translation of "continuous function" in Chinese
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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。
Every absolutely continuous function is uniformly continuous and, therefore, continuous.
每一个绝对连续的函数都是一致连续和连续的。
In mathematics, a continuous function is a function for which sufficiently small changes in the input result in arbitrarily small changes in the output.
直观上来说，连续的函数就是当输入值的变化足够小的时候，输出的变化也会随之足够小的函数。
continuous at the point a function (by definition of a continuous function
连续在点 的功能 （通过定义 的一个连续的功能
The inverse of a continuous function on the given interval, is continuous on this interval.
逆的一个连续的功能在给定的时间间隔，是连续的在这时间间隔。
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。
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。
Informally, this example can be seen as taking the usual uniformity and distorting it through the action of a continuous yet non-uniformly continuous function.
非正式的，这个例子可以被看作选取正常的一致性并通过连续但非一致连续函数的作用扭曲它。
A uniform space X is uniformly connected if every uniformly continuous function from X to a discrete uniform space is constant.
一致空间X是一致连通的，如果所有从X到离散一致空间的一致连续函数都是常数的。
Digital signal resulting from approximation to an analog signal, which is a continuous function of time
连续信号是时间的连续函数，而离散信号是时间的离散函数。
Gauss had shown that if a continuous function f on R n has at each point x a value equal to its mean value on every sphere of centre x, then f is harmonic.
高斯表明，如果一个连续函数 f R 上N的发展， 在每一个X 点的价值等于其平均值的每一个领域的中心坐标 然后f是 谐波。
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