勒贝格测度
- 网络Lebesgue measure;H.L.Lebesgue
勒贝格测度-
利用遍历理论，我们可以得到该基本tile的勒贝格测度是一个有理数，该有理数的分母等于定义tile所用到的对称群的阶。
Using ergodic theory , we show that the Lebesgue measure of the tile is a rational number where the denominator equals to the order of the associate symmetry group .
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在知识库中引入勒贝格测度，定义了知识测度和知识可测，对比勒贝格测度研究了知识测度的性质，并得出了波雷耳集与知识可测集等价等强于勒贝格测度的性质。
Lebesgue measure is introduced in knowledge base , knowledge measure and knowledge measurable sets are defined . In contrast to Lebesgue measure , the properties of knowledge measure are studied , and some more powerful properties are achieved , such as Borel set is equal to knowledge measurable set .