Velocity-stack inversion is the process of creating a model in velocity space that can correctly reconstruct the measured data. This is usually implemented by minimizing the L2 norm of the data misfit and the L2 norm of the model. Superior velocity space images, with a better separation of primaries and multiples, can be created by minimizing a different norm of the data misfit and a different ...

We show that in a Banach space X every closed convex subset is strongly proximinal if and only if the dual norm is strongly sub differentiable and for each norm one functional f in the dual space X∗, JX(f) the set of norm one elements in X where f attains its norm is compact. As a consequence, it is observed that if the dual norm is strongly sub differentiable then every closed convex subset of...

The reverse quantum speed limit (RQSL) gives an upper to the time for evolution between initial and final states. We show that, in conjunction with existence of a minimum scale, RQSL implies lower norm change state, confirm that this is satisfied two-state ideal-measurement models. Such relevance interpretational issues probability understanding meaning Everett theory.

Let X be a possibly non-reduced space of pure dimension. We introduce pointwise Hermitian norm on smooth (0,q)-forms, in particular holomorphic functions, X. The is canonical, up to equivalence, where the underlying reduced manifold. prove that functions complete with respect natural topology induced by this norm.