Does sage have routines to approximate real numbers by fractions:
For example, suppose 13.000000000000000000001 is an approximation of a complicated expression involving $pi, e$ and other transcendental constants. Then it "is probably" a rational number. Can sage tell me what rational number it "probably" is.
You can use the method nearby_rational which works for real numbers. If you do have a symbolic expression, you first have to take a numerical approximation as in
sage: pi.n().nearby_rational()
The term pi may be replaced by any symbolic expression.
See Trac 237 for the closest to this that has been proposed. I'm not sure if there would be anything for just rationals or not.
Asked: 2013-08-21 13:52:33 +0100
Seen: 1,564 times
Last updated: Aug 23 '13
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