In linear space, consider all true polynomial functions with internal multiplication x(t)y(t)dt for the values of n = 0,1,2, ... : x,(t) = t" Prove that the functions yo (t) = 1, y,(t) = V3(2t – 1), y2(t) = v5(6t2 – 6t + 1) form a single orthogonal set that traverses the same sub-space traversed by {xo, x1, x2}. -

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Statements and Logic

Logic is the analysis of general patterns of thoughts without regard to any specific sense of context.