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Fri Sep 8 22:21:28 EDT 2017

## Derivatives

The derivative is an operator that maps a function to a linear function.
I'm looking at applying the chain rule to functions over trees.
What does it mean for a function on a tree to be linear?
Linearity in algebraic terms is: f( a x ) = a f(x)
What does multiplication mean on trees?
Are these zippers the only interpretation that works, or is there a
different way that works with differences of trees.

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