V2EX borel

Borel

Definition / 释义

Borel(常见于数学语境)指“博雷尔”:与博雷尔集合(Borel set)博雷尔σ-代数(Borel σ-algebra)等概念相关,常用于拓扑、测度论与概率论中(多为专有名词,源自法国数学家 mile Borel 的姓氏)。
(另有较少见含义:指一种粗呢料/粗毛织物,但现代英语中不常用。)

Pronunciation / 发音(IPA)

/brl/

Examples / 例句

A Borel set can be built from open sets using countable operations.
博雷尔集合可以通过对开集进行可数次运算来构造。

In probability theory, we often define a random variable as a Borel-measurable function on a metric space.
在概率论中,我们常把随机变量定义为度量空间上的博雷尔可测函数。

Etymology / 词源

Borel在数学中主要是人名借用词:以法国数学家埃米尔博雷尔(mile Borel)命名,用来纪念他在测度论、概率论等领域的贡献,因此常以大写出现,并组合成术语如 Borel setBorel measure

Related Words / 相关词

Literary Works / 文献与作品中的用例

  • Measure Theory(Paul R. Halmos)讨论博雷尔集合与可测性
  • Real and Complex Analysis(Walter Rudin)涉及博雷尔测度、可测函数
  • Probability with Martingales(David Williams)使用博雷尔σ-代数构建概率框架
  • Topology(James R. Munkres)在拓扑与可测结构交叉处提及博雷尔集合
关于     帮助文档     自助推广系统     博客     API     FAQ     Solana     1679 人在线   最高记录 6679       Select Language
创意工作者们的社区
World is powered by solitude
VERSION: 3.9.8.5 35ms UTC 16:19 PVG 00:19 LAX 09:19 JFK 12:19
Do have faith in what you're doing.
ubao msn snddm index pchome yahoo rakuten mypaper meadowduck bidyahoo youbao zxmzxm asda bnvcg cvbfg dfscv mmhjk xxddc yybgb zznbn ccubao uaitu acv GXCV ET GDG YH FG BCVB FJFH CBRE CBC GDG ET54 WRWR RWER WREW WRWER RWER SDG EW SF DSFSF fbbs ubao fhd dfg ewr dg df ewwr ewwr et ruyut utut dfg fgd gdfgt etg dfgt dfgd ert4 gd fgg wr 235 wer3 we vsdf sdf gdf ert xcv sdf rwer hfd dfg cvb rwf afb dfh jgh bmn lgh rty gfds cxv xcv xcs vdas fdf fgd cv sdf tert sdf sdf sdf sdf sdf sdf sdf sdf sdf sdf sdf sdf sdf sdf sdf sdf sdf sdf sdf sdf sdf sdf sdf sdf sdf sdf sdf sdf sdf sdf sdf sdf sdf sdf sdf sdf sdf sdf sdf sdf shasha9178 shasha9178 shasha9178 shasha9178 shasha9178 liflif2 liflif2 liflif2 liflif2 liflif2 liblib3 liblib3 liblib3 liblib3 liblib3 zhazha444 zhazha444 zhazha444 zhazha444 zhazha444 dende5 dende denden denden2 denden21 fenfen9 fenf619 fen619 fenfe9 fe619 sdf sdf sdf sdf sdf zhazh90 zhazh0 zhaa50 zha90 zh590 zho zhoz zhozh zhozho zhozho2 lislis lls95 lili95 lils5 liss9 sdf0ty987 sdft876 sdft9876 sdf09876 sd0t9876 sdf0ty98 sdf0976 sdf0ty986 sdf0ty96 sdf0t76 sdf0876 df0ty98 sf0t876 sd0ty76 sdy76 sdf76 sdf0t76 sdf0ty9 sdf0ty98 sdf0ty987 sdf0ty98 sdf6676 sdf876 sd876 sd876 sdf6 sdf6 sdf9876 sdf0t sdf06 sdf0ty9776 sdf0ty9776 sdf0ty76 sdf8876 sdf0t sd6 sdf06 s688876 sd688 sdf86