In this work, we start from discovering elementary periodic patterns.
Then, discovering elementary periodic patters is performed over a lattice (langle mathbf {T}), (sqsubseteq rangle ) implemented as a syntax tree table with a minimum (T_{epsilon }) and maximum (T_{pi }) and partial order (sqsubseteq ) representing inclusion of syntax trees.
Let's use computer engineering as an analogy: physicists are still discovering elementary particles; but we know how to manipulate charge good enough to add numbers, trigger pixels on a screen, capture images from a camera and capture inputs from a keyboard or touchscreen.
Discovering elementary periodic patterns can be done over a number of dimensions such as syntax trees of all statements included in an audit trail, all possible partitions of audit time into time units in (U), all workload levels expressed as multiplicity coefficients in multisets, and the dimensions of positional parameters (b), (p), and (e).
The complex edifice of the Tractatus is built on the assumption that the task of logical analysis was to discover the elementary propositions, whose form was not yet known.
If we want our students to learn to ask good questions, to plumb the depths of an argument, to uncover its foundations and discover its elementary components, it matters deeply what material we set before them.
The set of traces is used by an algorithm that discovers elementary periodic patterns.
Borel discovered the elementary proof of Picard's theorem (see Charles-Émile Picard).
Using the strange laws of quantum mechanics, whose innate unpredictability he had famously abjured, modern physicists were splitting atoms, building bombs and discovering new elementary particles by the dozens.
An algorithm for discovering the elementary periodic patterns is explained in Sect. 5.
