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Re: "How does it work?" Part 8: Skill Checks[message #204906]

Thu, 25 December 2008 20:26

BirdFlu

Messages:438
Registered:September 2007
Location: Lampukistan

the formula

iSkill = (iSkill + 100 * (iSkill / 25) ) / (iSkill / 25 + 1);

can be transformed into this

 iSkill = (125 * iSkill) / (25 + iSkill);

And this version doesn't have any serious type conversion errors, because (125 * iSkill) is way larger than (25 + iSkill), for iSkill \in {0,100}.

Basically the function is "y = x * f(x)", with f(x) = 125/(25+x) and it looks like this.

http://img338.imageshack.us/img338/5210/funchr2.png

So you take the original value X and modify it with a value M that depends on X. For small X that modifying value M is large ( M = 5.0 for X = 0)
and for large X that value M is small ( M = 1.0 for X = 100). So, for X = 100 the modifier leaves X unchanged.
For X = 50 you still have a modifier of around +60 Percent.

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[Message index]

		"How does it work?" Part 8: Skill Checks By: Headrock on Wed, 08 October 2008 15:40
		Re: "How does it work?" Part 8: Skill Checks By: Headrock on Wed, 08 October 2008 15:42
		Re: "How does it work?" Part 8: Skill Checks By: Panpiper on Wed, 08 October 2008 16:40
		Re: "How does it work?" Part 8: Skill Checks By: Marlboro Man on Wed, 08 October 2008 16:50
		Re: "How does it work?" Part 8: Skill Checks By: Headrock on Wed, 08 October 2008 16:56
		Re: "How does it work?" Part 8: Skill Checks By: cdunigan on Wed, 08 October 2008 17:31
		Re: "How does it work?" Part 8: Skill Checks By: Headrock on Wed, 08 October 2008 19:13
		Re: "How does it work?" Part 8: Skill Checks By: FelixDrake on Thu, 09 October 2008 10:30
		Re: "How does it work?" Part 8: Skill Checks By: incognito253 on Wed, 24 December 2008 07:04
		Re: "How does it work?" Part 8: Skill Checks By: Headrock on Wed, 24 December 2008 07:32
		Re: "How does it work?" Part 8: Skill Checks By: Kaerar on Wed, 24 December 2008 08:09
		Re: "How does it work?" Part 8: Skill Checks By: incognito253 on Thu, 25 December 2008 11:52
		Re: "How does it work?" Part 8: Skill Checks By: Kaerar on Thu, 25 December 2008 12:33
		Re: "How does it work?" Part 8: Skill Checks By: Headrock on Thu, 25 December 2008 15:05
		Re: "How does it work?" Part 8: Skill Checks By: incognito253 on Thu, 25 December 2008 15:48
		Re: "How does it work?" Part 8: Skill Checks By: Headrock on Thu, 25 December 2008 16:59
		Re: "How does it work?" Part 8: Skill Checks By: BirdFlu on Thu, 25 December 2008 20:26
		Re: "How does it work?" Part 8: Skill Checks By: Headrock on Fri, 26 December 2008 01:53
		Re: "How does it work?" Part 8: Skill Checks By: BirdFlu on Fri, 26 December 2008 02:54
		Re: "How does it work?" Part 8: Skill Checks By: incognito253 on Fri, 26 December 2008 05:01
		Re: "How does it work?" Part 8: Skill Checks By: BirdFlu on Fri, 26 December 2008 12:12
		Re: "How does it work?" Part 8: Skill Checks By: BirdFlu on Fri, 26 December 2008 12:21

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