Opps.. correction to: "... When I look at the graph of this function using a "k" value of 5 and above, I *thinK* it starts to simulate your desired mapping...."
That should read " ... When I look at the graph of this function using a 'k' value of 3 down to close to zero I *think* starts to simulate your desired mapping...." Douglas Ruisaard Trilogy Software (250) 573-3935 > -----Original Message----- > From: Douglas Ruisaard [mailto:do...@telus.net] > Sent: Monday, August 05, 2019 8:51 AM > To: 'use-livecode@lists.runrev.com' > Subject: RE: Weighted distribution of Numbers > > Ralph: > Although several persons have responded... most far above my "pay-scale" ... > Your mention of the audio > taper rang bell for me. In the process of simulating an analog audio > potentiometer using a digital > one... I needed to find a formula for an inverse audio taper... and it DID > take a math professor to > finally provide a solution: > > > kx - 1 + sqrt((1 - kx)^2 + 4kx^2) > > y = --------------------------------- > > 2kx > > Now referencing the potentiometer "model"... > "x" is the amount of "rotation" .. from near zero (since dividing by zero is > verboten) to 100%.. i.e. > 360 degrees (which a real analog pot never actually achieves. > "k" is the "weight" factor ... increasing "k" increases the "severity" of the > taper ... more or less > flattening the higher range which, in turn, causing the "higher" rotation > values to have less > differentiated output values "y" is the output ... in the case of a pot, the > resistance > > When I look at the graph of this function using a "k" value of 5 and above, I > *thinK* it starts to > simulate your desired mapping. > > Hope this helps ... quadratic formulae are NOT my thing. Your mission is to > fit this formula into you > app and data set > > Cheers! > Douglas Ruisaard > Trilogy Software > (250) 573-3935 > > > > > > Message: 12 > > Date: Sun, 4 Aug 2019 14:49:09 -0400 > > From: "Ralph DiMola" <rdim...@evergreeninfo.net> > > To: "'How to use LiveCode'" <use-livecode@lists.runrev.com> > > Subject: [OT] Weighted distribution of Numbers > > Message-ID: <003701d54af5$4f8cd410$eea67c30$@net> > > Content-Type: text/plain; charset="us-ascii" > > > > I have a set of raw numbers(6,000 of them from 0 to 800 or so). It was > > easy to normalize these numbers from 0 to 100. But as I look at the > > results I see that there is one at to top(100) and a few in the 90s > > and many more in the 70s and 80s. I need to make these numbers more > > evenly distributed and weighted towards the top(so the top few are > > 100) based on the current distribution of the raw numbers. I'm not a > > math whiz and not afraid to admit that going beyond linier equations > > is way over my head. From some searches I see the some sort of > > nonlinear regression is in order(I think)? Or a apply a log (like an > > audio log taper of a potentiometer)? I don't know... Can anyone point me in > > the in the right > direction? > > > > Thanks! > > > > Ralph DiMola > > IT Director > > Evergreen Information Services > > rdim...@evergreeninfo.net > > > > > > > > _______________________________________________ use-livecode mailing list use-livecode@lists.runrev.com Please visit this url to subscribe, unsubscribe and manage your subscription preferences: http://lists.runrev.com/mailman/listinfo/use-livecode
