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OpenStudy (anonymous):

how to determine whether a vector valued function is smooth

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OpenStudy (anonymous):

a vector valued function is smooth provided each of the component functions are smooth that is if the function f:R^n.........>R^m then the usual notation is F=(f_1,f_2,.......,f_m) this is smooth if each f_i is smooth. (in the sense these are continuously differentiable) ok.

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