Differentiable vector-valued functions from Euclidean space: Difference between revisions

Revision as of 01:09, 15 February 2021

Revision as of 01:10, 15 February 2021

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=== Differentiability on Euclidean space ===

The definition given above for curves are now extended from functions valued defined on subsets of <math>\R</math> to functions valueddefined on open subsets of finite-dimensional [[Euclidean space]]s.

Throughout, let <math>\Omega</math> be an open subset of <math>\R^n,</math> where <math>n \geq 1</math> is an integer.