The striatum is thought to learn to select actions based on environmental feedback and rewards using a dopamine feedback signal. When the action is continuous and mutlidimensional, e.g., a reaching ...

The Lebesgue-Nikodym Theorem states that for a Lebesgue measure an additive set function which is -absolutely continuous is the integral of a Lebegsue integrable a measurable function ; that is, for ...

Abstract: To address the issue that the ordering of sample indicators may affect the results of the grey relational analysis model (GRA) based on panel data, a novel GRA model based on vector-valued ...

This paper covers the concept of a conservative vector field, and its application in vector physics and Newtonian mechanics. Conservative vector fields are defined as the gradient of a scalar-valued ...

Suppose I have a vector-valued function f(x) = y, where x and y are both vectors of some length (same or different length). f could be evaluated over a regular grid of x values, producing a set of y ...