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Interpolation with random nodes

  • To: mathgroup at
  • Subject: [mg44754] Interpolation with random nodes
  • From: "Wojtek" <a_d_u_n at>
  • Date: Tue, 25 Nov 2003 00:45:22 -0500 (EST)
  • Sender: owner-wri-mathgroup at


I want to interpolate function with a few different sets of nodes.
One of them are random ones. I have made the list of nodes and my function's

(n is given)


and I have a list: {{x_0,f(x_0)},{x_1,f(x_1)}...}

I use the following formula to calculate my function

L(x) = SUM(j=0..n) f(x_j) * Lambda(j,x)

And I need to extract these values from my list.

and I want to define two functions

y[n] - this returns the f(x_n) from my list
x[n] - this returns the x_n from my list

how can I do it in mathematica?

Thank you for any help


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