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# 2020

## Continued Fractions, Part 5: Redefining Finite Continued Fractions

In this series of articles so far, we have excluded continued fractions where some of so-called partial numerators ($b_k$ in this series) are zero. However, the author has realized that there might be plenty of classical results which include such continued fractions at least as minor cases. In fact, he carelessly described one of such results in Part 3. Therefore, he decided to devise a unified …

## Continued Fractions, Part 4: Real Convergence

This is the fourth article in the continued fractions series, following Part 3.

## Continued Fractions, Part 3: Convergence

This is the third article in the continued fractions series, following Part 2.

## Continued Fractions, Part 2: Equivalence Transformation

This is the second article in the continued fractions series, following Part 1.

## Continued Fractions, Part 1: Definitions

Continued fractions seem to be somewhat a minor topic in modern mathematics, and the author thinks it’s one of reasons why he has always been feeling difficulty in finding literature which gives minimal and clean description of them. Therefore, he decided to create a starting point for that purpose. Important notice: content of this article will be totally taken over by those of Part 5 and …