#11
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Re: Mean Value Theorem Question
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buck: they would not form a triangle. they would form a bell curve. [/ QUOTE ] the bell looks like a triangle though. |
#12
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Re: Mean Value Theorem Question
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It's more of a statistics problem than a calc problem. [/ QUOTE ] Why would the mean value theorem not be applicable just because the data points come from the "real world?" |
#13
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Re: Mean Value Theorem Question
ok i guess. i think of the bell curve more as an upside down saggy breast.
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#14
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Re: Mean Value Theorem Question
I think it's better to look at with bell curves because it's easier to visualize, that's all.
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#15
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Re: Mean Value Theorem Question
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ok i guess. i think of the bell curve more as an upside down saggy breast. [/ QUOTE ] Please, don't give me a rubbery one of the bell curve. |
#16
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Re: Mean Value Theorem Question
If I win 6BB/100, lose 3BB/100, win 6BB, lose 3BB and do this for ever.
My winrate is 3BB/100. At what point along my graph would I ever show +3BB/100? |
#17
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Re: Mean Value Theorem Question
Without bothering to really go at it, I think it won't. It'll converge to 3.0 but not hit it.
Win rate isn't a continuous function so technically the MVT doesn't apply. |
#18
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Re: Mean Value Theorem Question
because poker winrates are stepwise functions, yes, the theorem does not technically apply. the theorem applies to continuous functions only. however if we were to apply a best-fit curve to the winrate, you would at some point show a +3 bb/100 winrate.
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#19
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Re: Mean Value Theorem Question
Hell it'd show a +3 winrate between every hand [img]/images/graemlins/smile.gif[/img]
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#20
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Re: Mean Value Theorem Question
okay let's nitpick. it would show +3 bb/100 between every other hand.
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