The baker's transformation is one of the earliest and simplest examples of a bijective mixing transformation. By determining its cycle structure, we show that this transformation is not embeddable in any flow, i.e., one-parameter semigroup, on the nonnegative rationals and,a fortiori, not emdeddable in any flow on the reals.

Recently, P. D. Finch and R. Groblicki determined all bivariate probability densities with specified margins. We point out that their result follows immediately from the complete solution to the problem of determining all n-dimensional cumulative probability distribution functions with specified one-dimensional margins, which was solved by one of us in 1959.