# How to work with Interpolated Functions? [closed]

I am just a beginner and struggeling with experimental data and further processing in Mathematica:

1. I first constructed a table from two columns (t20 and J20) in Excel:

tabt20 = Table[{t20[[i]], J20[[i]]}, {i, 1, Length[t20]}];

2. I interpolated those data:

Intt20 = Interpolation[tabt20];

3. I got now as Output:

InterpolatingFunction[{{0.,179.}},"<>"]

I want now do further calculations on that Output -> I want to use that output written as J[t] for further calculations. How do I transform this Output to J[t] (how to assign [J and t to the abscissa and ordinate values of that implicit InterpolationFunction)?

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## closed as too localized by Ajasja, Silvia, Sjoerd C. de Vries, Artes, m_goldbergApr 30 '13 at 4:29

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Intt20[(* some number *)] should give an interpolated value. –  Ｊ. Ｍ. Apr 29 '13 at 14:49
Look in the help next time: reference.wolfram.com/mathematica/ref/… –  Ajasja Apr 29 '13 at 16:16

For Example:

(Let's define some data*)
t20 = Range@10;
J20 = RandomReal[{0, 1}, 10];

tabt20 = Transpose[{t20, J20}]; (*better than your Table[] !*)

Intt20 = Interpolation[tabt20]; (*Interpolate*)

Intt20[3.3] (*calc it at some point *)

Plot[Intt20[x], {x, 1, 10}] (* plot it *)

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