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Topic: Dynamic application of several polynomials
Replies: 2   Last Post: Mar 16, 2013 3:14 AM

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 Samuel Posts: 2 Registered: 3/14/13
Dynamic application of several polynomials
Posted: Mar 15, 2013 1:46 AM

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;

Date Subject Author
3/15/13 Samuel
3/16/13 Ray Koopman
3/16/13 Themis Matsoukas