Let C denote the class of regulated real-valued functions on the unit interval vanishing at the origin, whose positive and negative jumps sum to infinity in every nontrivial subinterval of /. Goffman [2] showed that every / in C is (essentially) a sum g + s where g is continuous and s is steplike. In this sense, a function in C is like a function of bounded variation, that has a unique such g and i. The import of this paper is that for / in C the representation / = g + i is not only not unique,

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... but by far the opposite holds: g can be chosen to be any continuous function on / vanishing at 0, at the expense of a rearrangement of j.