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Message: [QUOTE="Florian Frank, post: 4653073"] I had to implement them for my bullshit library (which has grown to include half a math library by now, ugh): [URL]http://github.com/flori/bullshit/blob/master/lib/bullshit.rb#L20[/URL] require 'bullshit' # pardon my french include Bullshit # => 1.4142135623731 They are rather fascinating. They can be used to implement functions as well, here's the atan function: atan = ContinuedFraction.for_a do |n, x| n == 0 ? 0 : 2 * n - 1 end.for_b do |n, x| n <= 1 ? x : ((n - 1) * x) ** 2 end # => 0.785398163397448 Now, it's easy to approximate pi as well: pi = lambda { 4 * atan[1] } # => 3.14159265358979 As you can imagine I had a lot of fun playing with them. ;) [/QUOTE]