From 80da24887ac760a9d18936634d8d46c0643521ee Mon Sep 17 00:00:00 2001 From: Preston Pan Date: Sun, 23 Jul 2023 09:12:03 -0700 Subject: add a lot of mindmap articles --- mindmap/partial derivative.org | 14 ++++++++++++++ 1 file changed, 14 insertions(+) create mode 100644 mindmap/partial derivative.org (limited to 'mindmap/partial derivative.org') diff --git a/mindmap/partial derivative.org b/mindmap/partial derivative.org new file mode 100644 index 0000000..ac1c5d2 --- /dev/null +++ b/mindmap/partial derivative.org @@ -0,0 +1,14 @@ +:PROPERTIES: +:ID: 3993a45d-699b-4512-93f9-ba61f498f77f +:END: +#+title: partial derivative +#+author: Preston Pan +#+html_head: +#+html_head: +#+html_head: +#+options: broken-links:t + +* Definition +The operator \(\frac{\partial}{\partial x_{n}}\) takes the [[id:31d3944a-cddc-496c-89a3-67a56e821de3][derivative]] of a function \(f(\vec{x})\) with respect to \(x_{n}\) in +the direction of the \(x_{n}\) axis. In other words, we take the derivative \(f(\vec{x})\) as if all variables +except \(x_{n}\) is constant. -- cgit