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Bell Curve Formula

Started by January 22, 2003 02:58 PM
3 comments, last by Green 22 years ago
Hi all, I am trying to calculate an acceleration value over time that resembles a bell curve. Does anyone have a (easy to understand without "Crazy" math symbols that only a math major would understand) formula they could post, with explanation? Or a link to a tutorial site? Many thanks for all replies!
ex2

or in C

exp(x*x)
"Voilà! In view, a humble vaudevillian veteran, cast vicariously as both victim and villain by the vicissitudes of Fate. This visage, no mere veneer of vanity, is a vestige of the vox populi, now vacant, vanished. However, this valorous visitation of a bygone vexation stands vivified, and has vowed to vanquish these venal and virulent vermin vanguarding vice and vouchsafing the violently vicious and voracious violation of volition. The only verdict is vengeance; a vendetta held as a votive, not in vain, for the value and veracity of such shall one day vindicate the vigilant and the virtuous. Verily, this vichyssoise of verbiage veers most verbose, so let me simply add that it's my very good honor to meet you and you may call me V.".....V
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Ok, that is giving me an exponential slope.

But I need the acceleration to level off again at the top of the slope. Sort of like a bell curve.


it exponentialy accelerates, then exponentially deacelerates.


[edited by - Green on January 22, 2003 6:45:40 PM]
You''ll be wanting e-x2, which will be symetric about x=0, has a maximum at x=0 and goes to zero as x goes to positive or negative infinity. If you want to offset this curve, so that the maximum is at some value ''a'', then you desire e-(x-a)2. Furthermore, you can ''spread out'' or ''sharpen'' the curve by dividing the exponent by a chosen number.

Cheers,

Timkin
oops....
"Voilà! In view, a humble vaudevillian veteran, cast vicariously as both victim and villain by the vicissitudes of Fate. This visage, no mere veneer of vanity, is a vestige of the vox populi, now vacant, vanished. However, this valorous visitation of a bygone vexation stands vivified, and has vowed to vanquish these venal and virulent vermin vanguarding vice and vouchsafing the violently vicious and voracious violation of volition. The only verdict is vengeance; a vendetta held as a votive, not in vain, for the value and veracity of such shall one day vindicate the vigilant and the virtuous. Verily, this vichyssoise of verbiage veers most verbose, so let me simply add that it's my very good honor to meet you and you may call me V.".....V

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