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## [Axiom-developer] Axiom mathematical algorithms... Notation matters

**From**: |
daly |

**Subject**: |
[Axiom-developer] Axiom mathematical algorithms... Notation matters |

**Date**: |
Sat, 19 Mar 2016 03:53:30 -0400 (EDT) |

I've been thinking about the best method of presenting mathematical
algorithms. There is a gap between equations that represent the
mathematics and the actual code that represents the algorithm.
The actual code has loops and does low-level data manipulation
that has been optimized away from the formula definition. This
is especially true of numerics, where I've been doing a lot of
recent work.
The form of presentation in this paper seems to be the perfect
combination of formula and algorithm. See, for example, p14:
http://slicot.org/objects/software/reports/SLWN2014_1.pdf
It would be ideal if this was the Axiom algebra language (Spad2?).
Constructing a parser/compiler for such input is easily a PhD thesis.
It would represent a major step forward in computational mathematics.
That said, I think we should adopt this style for documentation.
Tim

**[Axiom-developer] Axiom mathematical algorithms... Notation matters**,
*daly* **<=**