Category:Path as Parameterization of Contour

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This category contains pages concerning Path as Parameterization of Contour:


Let $\closedint a b$ be a closed real interval.

Let $\gamma: \closedint a b \to \C$ be a path.

Let there exist $n \in \N$ and a subdivision $\set {a_0, a_1, \ldots, a_n}$ of $\closedint a b$ such that:

$\gamma {\restriction_{\closedint {a_{k - 1} } {a_k} } }$ is a smooth path for all $k \in \set {1, \ldots, n}$

where $\gamma {\restriction_{\closedint {a_{k - 1} } {a_k} } }$ denotes the restriction of $\gamma$ to $\closedint {a_{k - 1} } {a_k}$.


Then there exists a contour $C$ with parameterization $\gamma$.

[[Category:Contour Integrals]

Pages in category "Path as Parameterization of Contour"

The following 3 pages are in this category, out of 3 total.