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ʧÊÑÂà¡ÕèÂǡѺ sigma-algebra
¨Ò¡¹ÔÂÒÁ2Íѹ¹Õé ÍÂÒ¡·ÃÒºÇèÒ Boolean algebra ¡Ñº Sigma algebra ᵡµèÒ§¡Ñ¹Âѧ䧤Ð
à¾ÃÒÐà·èÒ·Õèà¢éÒ㨠Boolean algebra Áѹ¡ç¹èÒ¨Ðà»ç¹ Sigma algebra â´ÂÍѵâ¹ÁѵÔÍÂÙèáÅéÇ ¶éÒà»ç¹ä»ä´éàÃÒÍÂÒ¡ä´éµÑÇÍÂèÒ§ Boolean algebra ·ÕèäÁèà»ç¹ Sigma algebra ¢Íº¤Ø³ÁÒ¡¨éÒ -------------------------------------------------------------- Definition1 Boolean algebra A collection G of subset of X is called an algebra of sets or a Boolean algebra if 1. $A\cup B\in G$ if $A,B\in G$ 2. $A^c \in G$ if $A\in G$ Definition2 Sigma algebra An algebra G of sets is called Sigma algebra or Borel algebra if every union of a countable collection of set in G is again in G
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Who owns the throne? |
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$G=\{A\subseteq\mathbb{R}: A\text{ is finite or }A^c\text{ is finite}\}$
à»ç¹ Boolean algebra áµèäÁèà»ç¹ $\sigma-$algebra
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site:mathcenter.net ¤Ó¤é¹ |
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