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monoids monads and applicative functors repeated software patterns now why would we want to do why would we want to talk about software patterns well in a nutshell itamp;#39;s this you have your interface to your class you have your implementation detail in the private section what are you going to expose as your public interface well in order to answer the question of what are we going to put in our public interface we need to figure out what are the fundamental operations now there youamp;#39;ve probably seen classes god classes with hundreds of member functions but many of those member functions could have been implemented in terms of the other member functions so what are the fundamental axioms of your type and then what is the flexibility that you want to be able to provide your user given these fundamental axioms when you do things in a functional design way these are critical questions when youamp;#39;re designing your interface and finally when you apply some of these functi