0 a number that can be expressed as the ratio of two whole numbers
1 a number that can be expressed as the ratio (= relationship expressed in numbers showing how much bigger one thing is than the other) of two whole numbers
We then completely describe the transformations having a given rational number explicitly and count the number of periodic attractors.
More precisely, suppose that p/q is a rational number, and we search for a continued fraction representation for it.
We now show that this affine function can be replaced by a single rational number using convex minimisation.
Such precise computation over the rationals is unnecessary because the resulting rational number will just be fed into compress, and a simpler rational number found.
In the following code, rat to stream builds the infinite sequence of digits for a rational number given by its numerator and denominator.
Now we distinguish two cases: (1) /2 is a rational number.
They would have to be eliminated in order to have a rational number system.
Each incommensurable magnitude of a geometrical figure is necessarily reduced to a convergent rational number according to some set 'degree of precision' - digitization.
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