In this chapter, we will describe the curves in $\mathbb{R}^2$ or $\mathbb{R}^{3}$ as the image of a function. $$\vec{r}(t) = \big(r_{1}(t), r_{2}(t),\dots ,r_{n}(t ...

In this paper, the vector-valued regular functions are extended to the locally convex space. The residues theory of the functions in the locally convex space is achieved. Thereby the Cauchy theory and ...

ABSTRACT: In this paper, the vector-valued regular functions are extended to the locally convex space. The residues theory of the functions in the locally convex space is achieved. Thereby the Cauchy ...

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 ...

Not sure if this is the right spot, sorry if not! I would like to state (in my case for an optimization problem I would like to solve with ipopt) the equality constraints as a vector. No problem doing ...

Let φ be an analytic self-map of the unit disk. The weak compactness of the composition operators Cφ : f ↦ f o φ is characterized on the vector-valued harmonic Hardy spaces h1 (X), and on the spaces ...

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 ...