Before revision: A two-valued vector logic requires a correspondence between the truth-values true (t) and false (f), and two q-dimensional normalized column vectors composed by real numbers s and n, hence: and (where is an arbitrary natural number, and “normalized” means that the length of the vector is 1; usually s and n are orthogonal vectors).
After revision: A two-valued vector logic requires a correspondence between the truth-values true (t) and false (f), and two q-dimensional normalized real-valued column vectors s and n, hence: and (where is an arbitrary natural number, and “normalized” means that the length of the vector is 1; usually s and n are orthogonal vectors).