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Finding Continued Fraction Expansion for Reals

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Explanations 1

To find a continued fraction expansion for real numbers, we use a similar technique to how we did so for rational numbers. First let's try an example, 5\sqrt{5}5. Well, we know…
By Jason Chen, robert kimera

Problems 2

Now imagine that the rope is lifted at all points simultaneously, so that it floats above the Earth at the same height all along its length. What is the largest thing that could…
Pi has long been noted as one of the most useful mathematical constants. Yet, due to the fact that it is an irrational number, it can never be expressed exactly as a fraction an…