Algebraic operator are every where in python. + = * / Dict are every where inpython. What can we achieve by combining both of them? [Slides](http://jul.github.io/cv/pres.html#/init) are here ## Introduction Algebra is a wonderful abstraction that make the infamous 2D point example ofa class or nameddict useless when you have complex data type (that is HWaccelerated on Intel CPU). ## I Algebra 101 : it is all about consistency between symbol and behaviour Simple: Is something consistent with linear algebra? it requires 17 simpleunit tests suffice to say so So just let makes a test this rules are followed, and then a class thatapplies these behaviours and we have implemented it. ## II I have linear algebra behaviour. How useful can it be? Well, you have basic data type like { x: 1, y :2, z :3 } that is actuallybehaving like an euclidean vector. If an object is a MutableMapping thus we can create a universal operator forsaying how much an object «looks like» another one. Practical use : * finding doublons in database; * text matching (after a pass of ntlk + word counters); * pattern fitting; ... That is the basis of Textual indexation and profiling (it is not only for evilpurpose) https://github.com/jul/ADictAdd _iction/blob/master/example/cos_demo.py ## III State of the art of 2 working POC how to use MutableMapping (dict) andsuper Most of the operation tested here https://github.com/jul/ADictAdd_iction/ Implementation as a trait here https://github.com/jul/archery Basically it works BUT : 1. it is hard : with archery I stumbled on super 2. with VectorDict (obsolete) it lacks of genericity and the code is clumsy 3. python 2 div behaviour was screwing this (and since these library were relying on base operator, I got biten) Prepare to throw 2 away ## IV the future A chain is as strong as its weakest link : if a lib is based on composing thepython based operator, the algebra will be as consistent as the CORE behaviourof the operator in the language. ## Conclusion Algebra is a powerful abstraction that is still underused. Possible development : \- Rieman/Hermitian algebra: using the power of themath used in Quantum Mechanics/relativity and python in the same fashion \-Using Quaternion to have quirkless rotation in euclidean 3D...