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Question: A little arithmetical challenge

Question:A little arithmetical challenge

xmaury 5 Maple
algorithm arithmetic
May 11 2016
1

Hi everybody,

how about a little arithmetical challenge?

 

known quantities : Z, t, epsilon : reals

let W = X+Y*t    X, Y integers, t real (t with unlimited precision)

let W = Z + epsilon (epsilon < 1/W), Z real (Z with unlimited precision)

W and Z have same decimal expansion ( W - Integerpart[W], Z - IntegerPart[Z] ), up to a certain "rank" (determined by the precision : epsilon)

Y*t and Z have same decimal expansion, up to a certain "rank".

The problem : build an algorithm to find the integer Y, using the "usable" decimal expansion of Z.

 

Thanks in advance for your contributions!
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