A vector-valued function, also referred to as a vector function, is a mathematical function of one or more variables whose range is a set of multidimensional...

An infinite-dimensional vector function is a function whose values lie in an infinite-dimensional topological vector space, such as a Hilbert space or...

(which represents the rotation of a flow). A vector field is a special case of a vector-valued function, whose domain's dimension has no relation to the...

known as vector resolute or vector component, a linear mapping producing a vector parallel to a second vector Vector-valued function, a function that has...

of the mean value theorem to vector-valued functions is obtained as follows: Let f be a continuously differentiable real-valued function defined on an...

In vector calculus, the Jacobian matrix (/dʒəˈkoʊbiən/, /dʒɪ-, jɪ-/) of a vector-valued function of several variables is the matrix of all its first-order...

example, the function that associates to each point of a fluid its velocity vector is a vector-valued function. Some vector-valued functions are defined...

vector) Tensor Unit vector Vector bundle Vector calculus Vector notation Vector-valued function Ivanov 2001 Heinbockel 2001 Itô 1993, p. 1678; Pedoe 1988...

the inverse function. In multivariable calculus, this theorem can be generalized to any continuously differentiable, vector-valued function whose Jacobian...

member of its domain. Real-valued functions of a real variable (commonly called real functions) and real-valued functions of several real variables are...