Question: PLEASE EXPLAIN IN FULL THE MATHEMATICAL INDUCTION PROCESS USED TO OBTAIN THE UNDERLINED RED The functions d; fi taken together can again be interpreted as

PLEASE EXPLAIN IN FULL THE MATHEMATICAL INDUCTION PROCESS USED TO OBTAIN THE UNDERLINED RED

The functions d; fi taken together can again be interpreted as a vector-valued function. This allows us to define, with mathematical induction on k, that fe Ck if Dk-1 f e Cl where DK f is inductively defined by D* f(x) = D(DK-1 f) (x)

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