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  1. L

    Sigma algebra?

    Why is the collection of finite unions of all sets of the form [a,b],[a,b),(a,b],(a,b) in the interval [0,1] not a sigma-algebra? Clearly, it's an algebra, since [0,1] is a finite union of disjoint subintervals, the complement of a finite union is...
  2. L

    Implicit Function

    Hi! I've got a question about implicit functions. I have to solve a system f(x,y,z)=0 in the neighbourhood of (1,1,1). I have a problem computing the derivative of an implicit function (x,y)=g(z), whose existence is given by the implicit function theorem when applied to the given function...