- #1

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Hi there,

I just began using Mathematica today and I was wondering if there is a way to make the program generate an equation of a surface given a 3d array?

What I need it to do is to give me an equation of the surface so that given any two variables I can find the value of the third one.

Any advice will be highly appreciated.

Here is a screenshot of what the surface looks like:

And here is the array:

4 1000 0.10331

4 1250 0.08479

4 1500 0.07125

4 2000 0.05700

4 3000 0.04133

4 5000 0.02921

4 10000 0.01995

4 15000 0.01660

4 20000 0.01510

9 1000 0.11400

9 1250 0.09476

9 1500 0.08265

9 2000 0.06698

9 3000 0.05201

9 5000 0.03919

9 10000 0.02993

9 15000 0.02630

9 20000 0.0245

16 1000 0.12754

16 1250 0.10901

16 1500 0.09690

16 2000 0.08123

16 3000 0.06555

16 5000 0.05344

16 10000 0.04418

16 15000 0.04235

16 20000 0.04075

25 1000 0.14250

25 1250 0.12683

25 1500 0.11400

25 2000 0.09904

25 3000 0.08336

25 5000 0.07125

25 10000 0.06199

25 15000 0.06070

25 20000 0.05920

36 1000 0.16388

36 1250 0.14963

36 1500 0.13538

36 2000 0.12041

36 3000 0.10474

36 5000 0.09263

36 10000 0.08336

36 15000 0.08250

36 20000 0.08115

49 1000 0.19024

49 1250 0.17100

49 1500 0.16031

49 2000 0.14535

49 3000 0.12968

49 5000 0.11756

49 10000 0.10830

49 15000 0.10750

49 20000 0.10600

I just began using Mathematica today and I was wondering if there is a way to make the program generate an equation of a surface given a 3d array?

What I need it to do is to give me an equation of the surface so that given any two variables I can find the value of the third one.

Any advice will be highly appreciated.

Here is a screenshot of what the surface looks like:

And here is the array:

4 1000 0.10331

4 1250 0.08479

4 1500 0.07125

4 2000 0.05700

4 3000 0.04133

4 5000 0.02921

4 10000 0.01995

4 15000 0.01660

4 20000 0.01510

9 1000 0.11400

9 1250 0.09476

9 1500 0.08265

9 2000 0.06698

9 3000 0.05201

9 5000 0.03919

9 10000 0.02993

9 15000 0.02630

9 20000 0.0245

16 1000 0.12754

16 1250 0.10901

16 1500 0.09690

16 2000 0.08123

16 3000 0.06555

16 5000 0.05344

16 10000 0.04418

16 15000 0.04235

16 20000 0.04075

25 1000 0.14250

25 1250 0.12683

25 1500 0.11400

25 2000 0.09904

25 3000 0.08336

25 5000 0.07125

25 10000 0.06199

25 15000 0.06070

25 20000 0.05920

36 1000 0.16388

36 1250 0.14963

36 1500 0.13538

36 2000 0.12041

36 3000 0.10474

36 5000 0.09263

36 10000 0.08336

36 15000 0.08250

36 20000 0.08115

49 1000 0.19024

49 1250 0.17100

49 1500 0.16031

49 2000 0.14535

49 3000 0.12968

49 5000 0.11756

49 10000 0.10830

49 15000 0.10750

49 20000 0.10600