BibTeX
@INCOLLECTION{
         Christianson2012ALN,
       title = "A {L}eibniz Notation for Automatic Differentiation",
       doi = "10.1007/978-3-642-30023-3_1",
       author = "Christianson, Bruce",
       abstract = "Notwithstanding the superiority of the Leibniz notation for differential calculus,
         the dot-and-bar notation predominantly used by the Automatic Differentiation community is resolutely
         Newtonian. In this paper we extend the Leibniz notation to include the reverse (or adjoint) mode of
         Automatic Differentiation, and use it to demonstrate the stepwise numerical equivalence of the three
         approaches using the reverse mode to obtain second order derivatives, namely forward-over-reverse,
         reverse-over-forward, and reverse-over-reverse.",
       pages = "1--9",
       crossref = "Forth2012RAi",
       booktitle = "Recent Advances in Algorithmic Differentiation",
       series = "Lecture Notes in Computational Science and Engineering",
       publisher = "Springer",
       address = "Berlin",
       volume = "87",
       editor = "Shaun Forth and Paul Hovland and Eric Phipps and Jean Utke and Andrea Walther",
       isbn = "978-3-540-68935-5",
       issn = "1439-7358",
       year = "2012",
       ad_theotech = "General"
}