若尔当测度



若尔当测度(Jordan measure)是面积测度方式,数学家卡米尔·若尔当所提出。设E是中的一个有界集,而f是在E上取值为1的函数,如果f在E上可积,则称E为Jordan可测的(可求体积的)。并且记
,称为E的Jordan测度,也就是E的体积。
单词 | Jordan measure |
释义 |
Jordan measure
中文百科
若尔当测度![]() ![]() ![]() 若尔当测度(Jordan measure)是面积测度方式,数学家卡米尔·若尔当所提出。设E是
英语百科
Jordan measure 若尔当测度![]() ![]() ![]() In mathematics, the Peano–Jordan measure (also known as the Jordan content) is an extension of the notion of size (length, area, volume) to shapes more complicated than, for example, a triangle, disk, or parallelepiped. It turns out that for a set to have Jordan measure it should be well-behaved in a certain restrictive sense. For this reason, it is now more common to work with the Lebesgue measure, which is an extension of the Jordan measure to a larger class of sets. Historically speaking, the Jordan measure came first, towards the end of the nineteenth century. |
随便看 |
|
英汉网英语在线翻译词典收录了3779314条英语词汇在线翻译词条,基本涵盖了全部常用英语词汇的中英文双语翻译及用法,是英语学习的有利工具。