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Dedo
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PostPosted: Tue Sep 15, 2009 10:06 pm |
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However this is a linear gain, and what we normally do for skillgain is a exponential gain. An easy way to do this is to make our function sort of a reverse half-life. Meaning that everytime we get a certain amount of skill up, the time required doubles. A good division is 33.3, or one third of our total skills.
That means from 0-33.3 will take a period of time P, 33.3-66.6 will take 2P, and 66.6-100.0 will take 4P. Meaning the total time to GM is 7P, so T=7P, or P=T/7.
f(x)= P * 2^(x/33.3) => (T/7) * 2^(x/33.3)
So now we substitute this into our original equation F(x)=(T/1000)*(Y(x)/5) with Y(x)= x/10
F(x)=(T/1000) * (Y(x)/5) with Y(x) = x/10 and T = (T/7) * 2^(x/33.3)
F(x)=( (T/7) * 2^(x/33.3) ) / 1000 * ( Y(x) / 5 )
F(x)=( (T/7000) * 2^(x/33.3) )*(Y(x)/5) with Y(x) = x / 10
well for one this assumes 33.3 and 66.6 are in two groups which would change the numbers a bit. im a bit confused how the total time can equal the total time divided by 7......ect.
also a bit confused by little f...... it only accounts for the center grouping how are you accounting for the other 2?
( (T/7) * 2^(x/33.3) ) / 1000 * ( Y(x) / 5 ) should be [( (T/7) * 2^(x/33.3) ) / 1000] * ( Y(x) / 5 )
T=7P not T=(T/7) * 2^(x/33.3) how did little f become T?
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Last edited by Dedo on Tue Sep 15, 2009 10:45 pm, edited 6 times in total.
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Llama
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PostPosted: Tue Sep 15, 2009 10:23 pm |
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Yay Dedo! I missed you Dedo!
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GMBob
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PostPosted: Tue Sep 15, 2009 10:41 pm |
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Alright, so many close guesses, but here's the real big "mistake".
The assumption that 2^(x/33.3) equals 7p.
While the assumption was right in the ratios, it was off due a base mistake.
2^0 is 1.
2^1 is 2
2^2 is 4
2^3 is 8
so it's actually 2 + 4 + 8, for a total of 14p.
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Dedo
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PostPosted: Tue Sep 15, 2009 10:46 pm |
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i literally just posted that 
nvm i read your post wrong
and i thought we assumed that p*2^(x/33.3) was equal to 7p....
implying that 7=2^(x/33.3) _________________ [email protected]
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Tax_man
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PostPosted: Wed Sep 16, 2009 10:09 am |
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Quote: 5 x 5 = 25 
lmao, gaffer wins. deserves a prize for wit alone 
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Wizard_of_Gore
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PostPosted: Thu Sep 17, 2009 1:03 pm |
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Quote: Quote: 5 x 5 = 25
lmao, gaffer wins. deserves a prize for wit alone
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Quote: Yay Dedo! I missed you Dedo!
I let her know there was a math discussion going on here without here and I knew she wasn't having that! heh-heh
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Apocalypse
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PostPosted: Fri Sep 18, 2009 3:28 pm |
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236345x + 33454522x + 16 = -2946983469724536
33690867x + 16 = -2946983469724536
- 16 -16
33690867x = -2946983469724552
x = -87471286.201229312383085896839639
I did that all on paper, I'm smart.
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