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Graph -> Function

Sinfonia · 2007-11-15 20:22:27

Anyone know of a program which would allow you to enter coordinates for a line/curve, and it would give you the relevant function? (e.g. input (1,1), (2,2), (3,3) and would tell you it's y=x)

15-11-2007 8:22pm

#1

Sinfonia

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Anyone know of a program which would allow you to enter coordinates for a line/curve, and it would give you the relevant function? (e.g. input (1,1), (2,2), (3,3) and would tell you it's y=x)

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#2 15-11-2007 9:19pm

Fremen

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Well, there's an infinite number of curves which go through the points (1,1), (2,2) and (3,3). What you're doing by drawing a line through them is called "interpolation".
A method called "lagrange interpolation" might do what you're looking for, but I don't know of any program which just spits out the function. The formula looks daunting but it's actully fairly easy to understand once you get your head around it.

http://en.wikipedia.org/wiki/Lagrange_interpolation

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