Separating set

转自：http://en.wikipedia.org/wiki/Separating_set

Separating set

In mathematics a set of functions S from a set D to a set C is called a separating set for D or said to separate the points of D if for any two distinct elements x and y of D, there exists a function f in S so that f(x) ≠ f(y).

Examples

The singleton set consisting of the identity function on R separates the points of R.

If X is a normal topological space, then Urysohn's lemma states that the set C(X) of continuous functions on X with real (or complex) values separates points on X.

Separating set相关推荐

redis操作报错-Unexpected character (‘-‘ (code 45)): Expected space separating root-level values
com.fasterxml.jackson.core.JsonParseException: Unexpected character ('-' (code 45)): Expected space ...
Separating axis theorem Polygon Collision
Separating axis theorem: http://en.wikipedia.org/wiki/Separating_axis_theorem Polygon Collision: ht ...
翻译-高质量JavaScript代码书写基本要点(转载)
by zhangxinxu from http://www.zhangxinxu.com 本文地址:http://www.zhangxinxu.com/wordpress/?p=1173 原文作者:S ...
视觉SLAM学习（三）--------SLAM 综述
SLAM概述参考资料分享来自本人博客:https://blog.csdn.net/Darlingqiang/article/details/78840931 SLAM一般处理流程包括track和ma ...
奇奇怪怪的冒泡排序 TOJ 2014: Scramble Sort
粘贴两个特别简单的冒泡排序 2014: Scramble Sort Description In this problem you will be given a series of lists co ...
next.js_Next.js手册
next.js I wrote this tutorial to help you quickly learn Next.js and get familiar with how it works. ...
编写react组件_React组件的“黄金法则”如何帮助您编写更好的代码
编写react组件以及钩子如何发挥作用 (And how hooks come into play) Recently I've adopted a new philosophy that chan ...
java正则表达式课程_通过此免费课程学习正则表达式
java正则表达式课程 by Beau Carnes 通过博卡恩斯通过此免费课程学习正则表达式 (Learn Regular Expressions with this free course) & ...
vue颜色选择器_如何制作？ Vue的颜色选择器！
vue颜色选择器 by ZAYDEK 由ZAYDEK 如何制作? Vue的颜色选择器! (How to make a ? color picker with Vue!) 注意:颜色看起来可能比实际颜色 ...
react 时刻表插件_React“啊哈”的时刻
react 时刻表插件 As a teacher, one of my main goals is to maximize people's "aha" moments. 作为一名 ...

Separating set

Separating set相关推荐

最新文章

热门文章