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up vote 2 down vote favorite

The ContourPlot is applied 5 times with this code:

i = Range[1, 5]
j = Range[1, 5]
ContourPlot[x^2/i + y^2/j == 1, {x, -5, 5}, {y, -5, 5}]

However, I would like it to be applied 5 separate times for each 5 values of i (so 25 times in total). So a plot for (i=1 and j=1), (i=1 and j=2), (i=1 and j=3)... etc.

How do I create such a nested loop?

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2 Answers 2

up vote 5 down vote accepted 
Show[ContourPlot[x^2/#1 + y^2/#2== 1,{x, -5, 5},{y, -5, 5}] & @@@ Tuples[Range@5, {2}]]

Mathematica graphics

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up vote 4 down vote

Using Table:

Table[ContourPlot[x^2/i + y^2/j == 1, {x, -5, 5}, {y, -5, 5}], {i, 5}, {j, 5}]
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