  We discuss stochastic derivations, stochastic Hamiltonians and the flows that
they generate, algebraic fluctuaion-dissipation theorems, etc., in a language
common to both classical and quantum algebras. It is convenient to define
distinct notions of time-ordered exponentials to take account of the breakdown
of the Leibniz rule in the Ito calculus. We introduce a notion of quantum
Stratonovich calculus and show how it relates to Stratonovich-Dyson time
ordered exponentials. We then use it to demonstrate a natural way to add
stochastic derivations.
