In this paper we look at this problem from a slightly different point of view.' Namely, instead of placing linear dependence in the forefront and looking for a condition to supplement the identical vanishing of the Wronskian, rather, we shall put the vanishing of the Wronskian in the forefront and ask for a kind of generalized dependence (necessarily weaker than linear dependence) which is equivalent to it. This point of view has led the author to define a new type of dependence relation for functions of a real variable which he has called "local linear dependence". It is shown that local linear dependence and the identical vanishing of the Wronskian are equivalent in the class of infinitely differentiate functions.
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