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Goals: (1) To develop robust theoretical model for a wide class of electro optical computing systems; (2) To extend the known capabilities, by design of new, more efficient algorithms for electro optical computing using less time, volume and energy. In particular, to develop efficient algorithms that use optimal combinations of time, volume and energy on electro optical computing systems; (3) To determine the fundamental theoretical limitations and capabilities of electro optical computing systems; In particular to determine lower bounds on tradeoffs between volume, time, and other resources (such as energy) of any electro optical computing system to solve fundamental problems.