Difference between revisions of "Talk:Adventurer Theories"
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Didn't I say these are approximated results? If you want a universal function it could be represented in the following way:<br> | Didn't I say these are approximated results? If you want a universal function it could be represented in the following way:<br> | ||
| − | η = | + | η = ⌊α''e''<sup>βx</sup> + ''r''⌋<br> |
| − | With x being the hours spent, α and β are constants that vary in each resting method, ''r'' a randomize factor, η the fatigue restored, and | + | With x being the hours spent, α and β are constants that vary in each resting method, ''r'' a randomize factor, η the fatigue restored, and ⌊⌋ for a floor function to obtain an integer result. -- [[User:Gsklee|Gsklee]] 21:49, 1 January 2007 (CET) |
Revision as of 22:51, 1 January 2007
Thoughts on layout, readability, ease of use or just general comments go here... Any observations should be made on the page itself. --The1exile 23:23, 21 December 2006 (CET)
- I'll fill it up once I start resting again... Damn champion seriously wounded me... and I wanted a unique :( -Chénier 23:29, 21 December 2006 (CET)
Actually, I haven't insisted that it's non-linear. I did, however, wonder why you think it is. Not many things in BM are linear... --Tom 00:08, 22 December 2006 (CET)
- Hmm.. This reminds me of my university time. True, you can approximate an unknown function, and often within a limited range the easiest approximation is a linear function. Very interesting. I'm surprised nobody has applied higher math yet, there should be enough geeks in the game. --Tom 15:27, 26 December 2006 (CET)
- Yeah, there is one here. -- Gsklee 16:08, 26 December 2006 (CET)
- I hadn't crossed out the idea, but liniar functions with a minute random factor seems to fit nicely. Also, for most games, server speed is an issue, I guessed that expodential functions weren't likely. --Ambeco 01:56, 27 December 2006 (CET)
- CPU power is one of the least problems I have. I/O and memory are the main issues of the database. Calculations for the PHP code are small compared to that. --Tom 18:46, 27 December 2006 (CET)
Math
Seems like to be exponential functions; correlation coefficients are high when the data are approximated this way. Also fit into my experience with the game.
On the Floor
f(x) = 2.8837e0.1607x
Primitive Room
f(x) = 6.1564e0.1366x
Common Room
f(x) = 4.8468e0.2208x
-- Gsklee 16:54, 26 December 2006 (CET)
- You guys are impressive. Very impressive. I love this game. :) --Calvin November t/c on 04:09, 27 December 2006 (CET)
- If those are the correct formulas, what are the restrictions on the value of e (unless you mean Euler's (big chance of spelling mistake)), we could, and should, simply make the calculations to see the maximum and minimum possibility for every value of x and we'd be able to fill out the chart accuratly. -Chénier 21:13, 31 December 2006 (CET)
- Euler's value doesn't work out. I even wonder how he got to those strange numbers, it doesn't seem logical to me that Tom just filled in random numbers, not when you try to imitate a real sleeping process. Foreign Curs 10:15, 1 January 2007 (CET)
- I'm thinking e is not Euler's, but a random number between x and y, seing as how sleeping the same ammount of time the same way have removed different ammounts of fatigue. But I'm not sure, I didn't come up with them... -Chénier 18:51, 1 January 2007 (CET)
- Euler's value doesn't work out. I even wonder how he got to those strange numbers, it doesn't seem logical to me that Tom just filled in random numbers, not when you try to imitate a real sleeping process. Foreign Curs 10:15, 1 January 2007 (CET)
- If those are the correct formulas, what are the restrictions on the value of e (unless you mean Euler's (big chance of spelling mistake)), we could, and should, simply make the calculations to see the maximum and minimum possibility for every value of x and we'd be able to fill out the chart accuratly. -Chénier 21:13, 31 December 2006 (CET)
Didn't I say these are approximated results? If you want a universal function it could be represented in the following way:
η = ⌊αeβx + r⌋
With x being the hours spent, α and β are constants that vary in each resting method, r a randomize factor, η the fatigue restored, and ⌊⌋ for a floor function to obtain an integer result. -- Gsklee 21:49, 1 January 2007 (CET)
