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Obviously I still have to much time on my hands, well that or I'm not spending my time wisely, I think its mostly the second one, So I was reading on Eigenvalue evaluation to find roots of polynomials cuz while Lutzer braught it up I never really saw how it was done, but this method while being nice and all for finding all the roots is more or less a itterative methode similar to neutons only now your solving all roots at the same time, it definently lends itself to convinience but its processing requirments (which are low I know cuz its basic matrix multiplications) are still what I consider to be a little to large for real time calculations. You may ask what could I possibly need real time calculations or roots of polynomials?, for well stabalizing circuits in a point unstable system, which can be broken down from their diffrential equation to make polynomials and it'd be convienient to solve for those polynomials real fast and return with a response lending itself to a feedback stability system. Problem lies in that if the processing time for those roots is to slow then the system wont be fast enough to stabalize properly. Obviously I'm well aware that I can do the same thing using physical circuit implementation that solves for the diff eq. using op-amps with caps and inductors in real time, but I'd like to see a method that allows for rapid computation in a time critical enviorment so that modifications to the comparisson matrices can be easily made without needing to shift capacitance/inductance values. So if someones got something that can do that it'd be freakin sweet. anyway this is what I made in illustrator
I'd really like to redo my web-site but seeing as I have not artistic vision while I may know where all the buttons and comands are I can't make anything all that nice, so one of these days I'll need to find me an art major who wants to exchange math lessons of hardware support for a new web site layout, maybe while I'm on co-op or something.
Oooo in retrospect to that comment of capacitive loads one methode to building an amplifier that can solve for these diffrential equations but lends itself to modification while in process would be an op-amp who's capacitance (i=C(dV/dt)) value is controled by the channel length modulation of a transistor allowing for linear adjustment of the coefficients of the diffrential equation. Hmmmm....
I'd really like to redo my web-site but seeing as I have not artistic vision while I may know where all the buttons and comands are I can't make anything all that nice, so one of these days I'll need to find me an art major who wants to exchange math lessons of hardware support for a new web site layout, maybe while I'm on co-op or something.
Oooo in retrospect to that comment of capacitive loads one methode to building an amplifier that can solve for these diffrential equations but lends itself to modification while in process would be an op-amp who's capacitance (i=C(dV/dt)) value is controled by the channel length modulation of a transistor allowing for linear adjustment of the coefficients of the diffrential equation. Hmmmm....