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I'm reading through some notes which give a proof by induction for Bool's inequality, and I wondered if someone could explain what the notation. I'm confused by the E^(k), what does this mean?

Since I'm a new user, here is a link to the image. http://i.stack.imgur.com/L0mCj.png

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1 Answer 1

In the context of the formula you linked to, it means $\displaystyle\bigcup_{i=1}^k E_k$.

This is not really a standard bit of notation, so I hope it is explained before it is used.

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Thank you, do the brackets around the k have any meaning? Is it that which implies the union? –  superbriggs Dec 29 '12 at 16:27
    
It could well be at an early part of the notes, I'm only taking reading through a few pages from this source. Thank you very much –  superbriggs Dec 29 '12 at 16:29
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The brackets are to distinguish it from $E^k$, which has a pretty standard meaning of direct product $E\times E\times\cdots\times E$, as in $\mathbb{R}^3$. –  André Nicolas Dec 29 '12 at 16:29

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