NumberTheory
SimplestRational
compute the simplest rational number in a real interval
Calling Sequence
Parameters
Description
Examples
Compatibility
SimplestRational( a, b )
a, b
-
realcons; real numbers with a<b
The SimplestRational( a, b ) command computes the "simplest" rational number pq such that a≤pq and pq≤b. It is "simplest" in the sense that p and q are as small as possible. (Note that an integer is considered to be "simpler" than a non-integral rational.)
If Maple is able to determine that b≤a, then an exception is raised.
withNumberTheory:
SimplestRational12,34
12
SimplestRational12,43
1
SimplestRationalπ,π+π−10
355113
SimplestRational910,152
SimplestRationalsqrt1000,sqrt1001
2538
SimplestRationalπ,γ
Error, (in NumberTheory:-SimplestRational) first argument must be strictly less than the second
The NumberTheory[SimplestRational] command was introduced in Maple 2017.
For more information on Maple 2017 changes, see Updates in Maple 2017.
See Also
NumberTheory[ContinuedFraction]
type[realcons]
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