```Date: Mar 16, 2013 3:14 AM
Author: Bob Hanlon
Subject: Re: Dynamic application of several polynomials

x = Range[27000]/27001.;f = {25.62, -38.43, 21.81}/9;Clear[y];y = (f.#^{3, 2, 1} &) /@ x;ListLinePlot[y]polynomials =  Map[{9 - #[[1]] - #[[2]], #[[1]], #[[2]]} &,    Flatten[Outer[      List, -{23.75, 28.02, 32.29, 36.56, 40.83, 45.1, 49.37, 53.64,        57.91, 62.18}, {13.48, 15.9, 18.33, 20.75, 23.17, 25.6, 28.02,        30.44, 32.87, 35.29}], 1]]/9;Clear[y];y[f_] := (f.#^{3, 2, 1} &) /@ x;ListLinePlot[Evaluate[y /@ polynomials], Frame -> True, Axes -> False, ImageSize -> 500]Bob HanlonOn Fri, Mar 15, 2013 at 1:48 AM, Samuel <samuelsiqueira@gmail.com> wrote:> I know how to get the 'resulting image' (y) from the application of a certain function (f) (here represented as the coefficients of a polynomial) over a certain interval (x):>> x = Range[27000]/27001.;> f = {25.62, -38.43, 21.81}/9;> y = Map[f[[1]]*#^3 + f[[2]]*#^2 + f[[3]]*# &, x];> ListPlot[y]>> How do i get the 'resulting images' from the application of several polynomials (represented as its coefficients) over a certain interval (x)?>> Considering the representation of those several polynomials to be something like:>> polynomials = Map[{9 - #[[1]] - #[[2]], #[[1]], #[[2]]} &, Flatten[Outer[List, -{23.75, 28.02, 32.29, 36.56, 40.83, 45.1, 49.37, 53.64, 57.91, 62.18}, {13.48, 15.9, 18.33, 20.75, 23.17, 25.6, 28.02, 30.44, 32.87, 35.29}], 1]]/9;>
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