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 ...

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 ...

Abstract: We provide two extensions of Halanay’s inequality, where the scalar function in the usual Halanay’s inequality is replaced by a vector valued function, under a Metzler condition. We provide ...

Abstract: We provide two extensions of Halanay’s inequality, where the scalar function in the usual Halanay’s inequality is replaced by a vector valued function, under a Metzler condition. We provide ...

Interactive demo web app featuring an on-the-fly supervised trained support vector machine for regression of a vector valued function. The web app is created via the Dash ML framework. The primary ...

Course Description: Calculus of functions of several variables: calculus of vector-valued functions, partial differentiation, multiple integrals. Perform calculus operations on vector‐valued functions ...