This is a preview. Log in through your library . Abstract If $f: \mathbf{R}^m \rightarrow \mathbf{R}^m$ is continuous and locally injective, then f is in fact ...

Let $I = \lbrack 0, 1 \rbrack, \mathscr{B} =$ Lebesgue measurable subsets of [0, 1], and let $\lambda$ denote the Lebesgue measure on $(I, \mathscr{B})$. Let $\tau: I ...

The Sphere function has d local minima except for the global one. It is continuous, convex and unimodal. The plot shows its two-dimensional form. The function is usually evaluated on the hypercube x i ...