Recently in Basic Functions Category

A Few Sequences More

In the last few posts we took a look at sequences and series, from the arithmetic and geometric to the Fibonacci, defined by the rules

  s0 = 0
  s1 = 1
  sn = sn-1 + sn-2

At the risk of being tedious, there are two more sequences that I'd like to cover before we move on to a new topic.

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The Fibonacci Code

Last time we took a first look into the implementation of sequences and series, being ordered lists of terms defined by their positions and the partial sums of those terms respectively.
Whilst the implementations of arithmetic and geometric sequences and their associated series were somewhat subtle, they're not particularly interesting from a mathematical perspective and so this time we'll take a look at something a little more complicated.

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A Sequence Of Predictable Events

With our various pseudo random number generators we have sought to create sequences of numbers that come as close as possible to having all of the properties of truly random variables, despite being entirely deterministic.
Now this behaviour is somewhat atypical, in the sense that most sequences that we bother to name have values that are self-evidently deterministic.

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