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1.1.1. White and Black Box Models Input, output and functions are fundamental elements of the wider applications of dynamic systems [3, 5, 21] such applications include: mathematics, probability, physics, statistics, classical logic, and cellular automata. For a pair of N bit vectors X, Y ∈ BN 2 with states, for a given 0-1 function f , the pair of 0-1 vectors are linked by an equation where the function may be expressed by Y = f (X) thus:

Interactive Maps on Variant Phase Spaces– From Measurements - Micro Ensembles to Ensemble Matrices on Statistical Mechanics of Particle Models