diff options
Diffstat (limited to 'mindmap/Fourier Transform.org')
| -rw-r--r-- | mindmap/Fourier Transform.org | 5 |
1 files changed, 2 insertions, 3 deletions
diff --git a/mindmap/Fourier Transform.org b/mindmap/Fourier Transform.org index c34e6e9..2e5e0a6 100644 --- a/mindmap/Fourier Transform.org +++ b/mindmap/Fourier Transform.org @@ -8,7 +8,6 @@ #+html_head: <script src="https://polyfill.io/v3/polyfill.min.js?features=es6"></script> #+html_head: <script id="MathJax-script" async src="https://cdn.jsdelivr.net/npm/mathjax@3/es5/tex-mml-chtml.js"></script> #+options: broken-links:t - * Introduction The Fourier Transform is a generalization of the Fourier Series. It has applications in solving [[id:4be41e2e-52b9-4cd1-ac4c-7ecb57106692][differential equations]] and has applications in many different fields, including [[id:136e79df-106f-4989-ab19-89705929cf91][quantum mechanics]], radio, planetary motion, and even the study @@ -16,8 +15,8 @@ of the heat equation. In this article we will study the heat equation, the Fouri ** The Heat Equation The heat equation is the study of how heat travels in a conductor with the unknown function in question being $f(\vec{r}, t)$, -giving the temperature at position $\vec{r}$ at time $t$. Now we want to describe the time rate of change of this function, so we use a -[[id:3993a45d-699b-4512-93f9-ba61f498f77f][partial derivative]]: +giving the temperature at position $\vec{r}$ at time $t$. Now we want to describe the time rate of +change of this function, so we use a [[id:3993a45d-699b-4512-93f9-ba61f498f77f][partial derivative]]: \begin{align} \label{Heat equation 1} \partial_{t}f = ?f |