Differentiable vector-valued functions from Euclidean space: Difference between revisions
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{{Short description|Differentiable function in functional analysis}}
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In the mathematical discipline of [[functional analysis]], a '''differentiable vector-valued function from Euclidean space''' is a [[differentiable]] function valued in a [[topological vector space]] (TVS) whose [[Domain of a function|domains]] is a subset of some [[Dimension (vector space)|finite-dimensional]] [[Euclidean space]].
It is possible to generalize the notion of [[Derivative (mathematics)|derivative]] to functions whose ___domain and codomain are subsets of arbitrary [[topological vector space]]s (TVSs) in multiple ways.
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