Vocabulary
math.approx

Inputs
xa ratio
epsilona ratio


Outputs
ya ratio


Word description
Applied to two fractional numbers "x" and "epsilon", returns the simplest rational number within "epsilon" of "x".

A rational number "y" is said to be simpler than another "y'" if abs numerator y <= abs numerator y', and denominator y <= denominator y'

Any real interval contains a unique simplest rational; in particular note that 0/1 is the simplest rational of all.

Definition