Source: wikibot/differentiable-vector-valued-functions-from-euclidean-space

= Differentiable vector–valued functions from Euclidean space
{wiki=Differentiable_vector–valued_functions_from_Euclidean_space}

A differentiable vector-valued function is a function that assigns a vector in a vector space (such as \\(\\mathbb\{R\}^n\\)) to every point in its domain, typically another space like \\(\\mathbb\{R\}^m\\). These functions can be thought of as generalizing scalar functions, where instead of producing a single scalar value, they produce a vector output.