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function is continuous

Translation of "function is continuous" in Chinese

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function

功能职能函数作用运作

is continuous

是连续为连续是持续不断是連續是连续不断

职能是连续

The proof that this function is continuous everywhere is not difficult.

证明这个函数处处连续并不困难。

The function is continuous at every point of its region and has a derivative

该职能是连续的每一点的地区和具有衍生物

If on the interval the function is continuous and does not turn into zero on this interval function keeps a constant sign.

如果上的时间间隔的功能是连续和不会变成零在此时间间隔的功能保持恒定的迹象。

A function is continuous at every point of its region of definition and is derived

一个职能是连续的每一点的区域的定义和派生

The restriction of a continuous function is continuous.

非连续函数的一个例子是分段定义的函数。

The function is continuous.

所有多项式函数都是连续的。

A rational function is continuous on any finite interval where the denominator is bounded away fromzero

有理函数在任何有限区间上都是连续的，其中分母远离零值。

However, even if a function is continuous at a point, it may not be differentiable there.

更一般地，当一个函数在定义域中的某个子集的每一点处都连续时，就说这个函数在这个子集上是连续的。

In next section, we will show that, if the multivariable function is continuous, so are all these univariable functions, but the converse is not necessarily true.

但是如果函数的定义域扩张到全体实数，那么无论函数在零点取任何值，扩张后的函数都不是连续的。

One useful corollary is that a function is continuous if and only if its curried form is continuous.

而有用的推論是，一個函數若且唯若其柯里化形式是連續時，它才是連續的。

A function is continuous if and only if it is both right-continuous and left-continuous.

一个实函数是上半连续且下半连续的，当且仅当它是连续的。

Definition: If a function is continuous at each point of some interval, it is called continuous on the interval.

定义：如果一个职能是连续的各点的一些时间间隔，它被称为连续的时间间隔的。

Its cumulative distribution function is continuous everywhere but horizontal almost everywhere, so is sometimes referred to as the Devil's staircase, although that term has a more general meaning.

其累积分布函数是处处连续的，但也几乎处处水平，所以有时被称为魔鬼的楼梯，虽然这个用语有更广泛的意义。