What is the translation of " 的连续函数 " in English?

• continuous function
• continuous functions

Examples of using 的连续函数 in Chinese and their translations into English

其中均为x的连续函数。
This is a continuous function of x.

其中fu，）u的连续函数。
Delta f(u) is a continuous function of u.

其中g1和g2是区间[a,b]内的连续函数。
Where g1 and g2 are continuous functions on[a, b].

证明：取f为圆上的任何连续函数。
Proof: Take f to be any continuous function on a circle.

也就是说，对任何的有界连续函数.
For any bounded continuous function.

平面上：每一个从某个给定的闭圆盘射到它自身的连续函数f{\displaystylef}都有至少一个不动点。
Every continuous function f from a closed disk to itself has at least one fixed point.

换句话说，到豪斯多夫空间的连续函数确定自它们在稠密子集上的值。
In other words, continuous functions into Hausdorff spaces are determined by their values on dense subsets.

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。
A uniform space X is uniformly connected if every uniformly continuous function from X to a discrete uniform space is constant.

空间的物理实在是由一个场所代表，这个场由四个自变量（空间和时间的坐标）的连续函数组成。
The physical reality of space is represented by a field whose components are continuous functions of four independent variables- the coordinates of space and time.

信息被处理为诸如电压和相对脉冲频率之类的值的连续函数，而不是对离散的位串的逻辑运算。
Information is processed as continuous functions of values such as voltage and relative pulse frequency rather than by logical operations on discrete strings of bits.

函数的定义得以擴展之後，数学家便能对一些“奇怪”的数学对象进行研究，例如處處不可导的连续函数。
By broadening the definition of functions, mathematicians were able to study"strange" mathematical objects such as continuous functions that are nowhere differentiable.

这种FRP的语义模型在无副作用的语言中通常是随时间变化的连续函数。[7].
This semantic model of FRP in side-effect free languages is typically in terms of continuous functions, and typically over time.[7].

可以构造在一点满足柯西-黎曼方程的连续函数，但它不在该点解析（譬如，f(z)=z5/|z|4）。
It is possible to construct a continuous function satisfying the Cauchy- Riemann equations at a point, but which is not analytic at the point(e.g., f(z)= z5/|z|4).

A和B是由函数分离的，如果存在从空间X到实直线R的连续函数f，使得f(A)={0}而f(B)={1}。
A and B are separated by a function if there exists a continuous function f from the space X to the real line R such that f(A)={0} and f(B)={1}.

在采样定理所描述的一定理论条件下，可以由DTFT完全恢复出原来的连续函数，因此也能从原来的离散样本恢复。
Under certain theoretical conditions, described by the sampling theorem, the original continuous function can be recovered perfectly from the DTFT and thus from the original discrete samples.

最简单的形式如下：平面上：每一个从某个给定的闭圆盘射到它自身的连续函数f{\displaystylef}都有至少一个不动点。
The simplest is sometimes given as follows: In the plane Every continuous function from a closed disk to itself has at least one fixed point.

的连续函数c{\displaystylec}.
By a constant factor c{\displaystyle c}.

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。
Any continuous function between two topological spaces is monotone with respect to the specialization preorders of these spaces.

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。
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..

X的一个连续函数。
Continuous function of X.

所有从I到X的绝对连续函数的集合记为AC(I;X)。
The collection of all absolutely continuous functions from I into X is denoted AC(L; X).

的连续函数c{\displaystylec}.
For constant c{\displaystyle c}.

斯通-切赫紧化可具体地构造如下：设C是从X到闭区间的连续函数集合。
The Stone- Čech compactification can be constructed explicitly as follows: let C be the set of continuous functions from X to the closed interval.

程序被指示为在这些函子之间的自然连续函数。
Programs are then denoted by natural continuous functions between these functors.

存在并且也是连续的函数。
Exist and are continuous functions.

存在并且也是连续的函数。
Where and are continuous functions.

每一个绝对连续的函数都是一致连续和连续的。
Any absolutely continuous function is uniformly continuous..

每一个利普希茨连续的函数都是绝对连续的。
Every Lipschitz-continuous function is absolutely continuous.