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# Category Archives: Asymptotics

## Grading a class

Imagine we had a class with students and each week they hand in a sheet of homework. Now, you choose a set of of them at random and correct only those . At the end, the grade assigned to a … Continue reading

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Posted in Asymptotics, Combinatorics, Computation, Probability
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## The fast decay of the gamma function

The purpose of this post is to discuss the fast decay of the gamma function when along the imaginary axis. This is an interesting topic, as it is not usually discussed, we are generally more interested in the increase of … Continue reading

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Posted in Asymptotics, Computation
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## Factorials

Factorials and the infinitude of prime numbers Polignac’s Formula: Given a prime let be the greatest integer such that .We have Outline In there are exactly multiples of , of these are also multiples of and so on… Theorem: There … Continue reading

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Posted in Asymptotics, Computation
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