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Earlier this year I implemented the arithmetic of ℚ[φ] in Ruby, to illustrate how something like this would work for my students: http://bit.ly/1gSQdpC http://b
by jfarmer 13y ago
Earlier this year I implemented the arithmetic of ℚ[φ] in Ruby, to illustrate how something like this would work for my students: http://bit.ly/1gSQdpC http://bit.ly/1gSQdpC
Obviously the Haskell implementation more directly expresses the idea! I found it easier to implement ℚ[φ] than ℚ[√5], even though the two are isomorphic as fields.
- JadeNB 13y ago> I found it easier to implement ℚ[φ] than ℚ[√5], even though the two are isomorphic as fields. In fact they are equal (as opposed to, say, ℝ[x]/(x^2 + 1) and ℂ, which are 'merely' isomorphic).