jordan decomposition 中文意思是什麼
jordan decomposition
解釋
約當分解- jordan : n. 喬丹〈姓氏〉。n. 1. 約旦〈亞洲〉。2. 〈the Jordan〉約旦河。adj. -ian 約旦的。n. 〈廢語〉便壺,尿罐(=chamber pot)。
- decomposition : n. 1. 分解,分析,溶解,還原(作用)。2. 腐朽,解體。
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As we all know, measures have three decomposition theorems in classical measure theory, that is, hahn decomposition theorem, jordan decomposition theorem and lebesgue decomposition theorem
眾所周知,在經典測度論中,測度有三個分解定理,即, hahn分解定理、 jordan分解定理和lebesgue分解定理。 -
And one important conclusion is : a finite t0 - measure defined on a generated tx - tribe ( [ 0, ] ) has a jordan decomposition if and only if it is of bounded chain variation, where t is a frank t - norm
其中一個重要的結論是:定義在生成的t _ ?族( [ 0 , ] )上的有限t _ 0 ?測度有jordan分解的充分必要條件是它具有有界鏈變差,其中t _是一個frank三角模。 -
Then, we show that infinite t - measures just as finite too - measures also have jordan decompositions by using the corollary of hahn decomposition theorem for t - measures
而後,利用hahn分解定理的推論我們得出了「無限t _ ?測度與有限t _ ?測度一樣也具有jordan分解」的結論。
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