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Old 04-14-2011, 08:07 PM   #11 (permalink)
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Quote:
Originally Posted by Piwoslaw View Post
Christ, if you were to divide different numbers by the same denominator, then the function would be linear, and proportions would work. But when you divide the same numerator by different denominators the function is now rational, which is governed by its own laws. Percentiles and averages become less intuitive.
10/600=.016e
12/600=.02
11/600=.0183e

Still not linear. Did I misunderstand?

When I first noticed this, years ago, I thought it was simply because 11 is prime. So I tried this:

600/16=37.5
600/14=42.857142 (42.86)
logic suggests that the answer to 15 then should be 37+2.675871= 40.178571... But it's Not...it's just 40.

A difference of .178571. Thinking back, the difference was .45e, just a couple numbers ago...

The closer the numerator is to the denominator, the difference gets exponentially smaller.

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Old 04-15-2011, 01:02 AM   #12 (permalink)
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0.183e is exactly halfway between 0.016e and 0.02, so it is linear.
As Piwoslaw said, changing the denominator makes the relationship 1/x.

The only thing that is really logical in math is... logic. I love logic but most other math (especially thinking for ages about how it works) makes my head hurt.

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