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单词 Continuous mapping
释义

Continuous mapping

英语例句库

Meanwhile, this algorithm provides approximate zeros of continuous mapping on Euclidian space and, in some casest can follow the pathwise connected set of zeros.

另一方面,这算法可用于计算某些连续映射的零点,且具有跟踪连通零点集的功能.

中文百科

连续函数 (拓扑学) Continuous function

(重定向自Continuous mapping)

在拓扑学和数学的相关领域里,连续函数是指在拓扑空间之间的一种态射。直观上来说,其为一个函数f,其中每一群在f(x)附近的点都会含有在x附近的一群点之值。对一个一般的拓扑空间来说,这是指f(x)的邻域总会包含着x之邻域的值。

在一个度量空间(如实数)里,这是指在f(x)一定距离内的点总会包含着在x某些距离内的所有点。

英语百科

Continuous function 连续函数 (拓扑学)

(重定向自Continuous mapping)
The sequence exp(1/n) converges to exp(0)
Illustration of the ε-δ-definition: for ε=0.5, c=2, the value δ=0.5 satisfies the condition of the definition.
The failure of a function to be continuous at a point is quantified by its oscillation.

In mathematics, a continuous function is, roughly speaking, a function for which sufficiently small changes in the input result in arbitrarily small changes in the output. Otherwise, a function is said to be a discontinuous function. A continuous function with a continuous inverse function is called a homeomorphism.

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更新时间:2025/6/22 4:51:09