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WIP: Specs for continued fraction algorithms #235

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10 changes: 10 additions & 0 deletions specifications/ContinuedFractions/README.md
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Continued Fractions - Core Algorithms
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TLA specs for:

1. Core algorithm for finding the (unique) simple continued fraction of a rational number based on Euclidean division.
2. Algorithm for constructing a rational number from the sequence of coefficients of a simple continued fraction.
3. Algorithm for finding the k-th convergent of a simple continued fraction.
4. Algorithm for finding the k-th remainder of a simple continued fraction.
5. Algorithm for finding the semiconvergent of two consecutive convergents of a simple continued fraction.