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 Hanlon

On 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;

>