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But these initial formulas are purely definitional, and help us little to understand either the purpose of the operators or the significance of the results. Working symbolically, let's apply a more systematic method to the separate components of the mapping <math>F.\!</math>

But these initial formulas are purely definitional,

and help us little to understand either the purpose

of the operators or the significance of the results.

Working symbolically, let's apply a more systematic

method to the separate components of the mapping F.

A sketch of this work is presented in the following series

A sketch of this work is presented in the following series of Figures, where each logical proposition is expanded over the basic cells <math>uv, u \underline{(} v \underline{)}, \underline{(} u \underline{)} v, \underline{(} u \underline{)(} v \underline{)}</math> of the 2-dimensional universe of discourse <math>U^\circ = [u, v].\!</math>

of Figures, where each logical proposition is expanded over

the basic cells uv, u(v), (u)v, (u)(v) of the 2-dimensional

universe of discourse U% = [u, v].

Computation Summary for f<u, v> = ((u)(v))

Computation Summary for f<u, v> = ((u)(v))