https://cc.tir.tw/wk/ 2026-05-19T08:01:45+00:00 https://cc.tir.tw/wk/ https://cc.tir.tw/wk/_media/wiki:logo.png text/html 2020-11-25T19:43:30+00:00 Anonymous (anonymous@undisclosed.example.com) https://cc.tir.tw/wk/notes:cft?rev=1606333410&do=diff Continuous Fourier transform Consider the Fourier transform: \begin{eqnarray} D(x) & = & \frac{1}{4\pi^2} \int_{-\infty}^\infty d\kappa e^{-i\kappa x}\tilde{D}(\kappa) \\ & \approx & \frac{1}{4\pi^2} \int_{-K}^K d\kappa e^{-i\kappa x}\tilde{D}(\kappa) \\ & \approx & \frac{1}{4\pi^2} \sum_{k=0}^{N-1} \frac{2K}{N} \exp\left[-i\left(\frac{2K}{N}k-K\right) x\right]\tilde{D}_k \\ D_m & \propto & e^{iKx}\sum_{k=0}^{N-1}\exp\left[-i\frac{2K}{N}k\left(\frac{2L}{N}m-L\right)\right]\tilde{D}_k \\ & \p… text/html 2025-02-18T16:48:45+00:00 Anonymous (anonymous@undisclosed.example.com) https://cc.tir.tw/wk/notes:ipynb2pdf?rev=1739897325&do=diff Generate PDF File from Jupyter Notebook You are generally asked to submit your homework in a single PDF file. It is recommended that you compose your answers in Jupyter Notebook format (.ipynb) using, e.g., JupyterLab. This will include all your (commented) code cells and corresponding outputs, as well as other write ups in markdown cells. It is also recommended that you write your mathematical equations using LaTeX syntax which will be rendered typeset-ready in both plot texts and markdowns. text/html 2023-02-19T18:13:16+00:00 Anonymous (anonymous@undisclosed.example.com) https://cc.tir.tw/wk/notes:model?rev=1676830396&do=diff What models are for? * As basis of understanding Lord Kelvin in Baltimore Lectures on Molecular Dynamics and The Wave Theory of Light " I am never content until I have constructed a mechanical model of the subject I am studying. If I succeed in making one, I understand; otherwise I do not." * Prediction * Testing of hypothesis text/html 2023-02-13T11:41:56+00:00 Anonymous (anonymous@undisclosed.example.com) https://cc.tir.tw/wk/notes:parametric_test?rev=1676288516&do=diff Parametric test Assuming sample data are from a distribution described by a fixed number of parameters. text/html 2026-02-24T18:38:03+00:00 Anonymous (anonymous@undisclosed.example.com) https://cc.tir.tw/wk/notes:submission?rev=1771958283&do=diff Homework Submission Guidelines File Format & Naming Submit your work as a single Jupyter Notebook file. Please use the following naming convention: StudentName_HW#.ipynb (e.g., 王小明_HW1.ipynb). Content & Formatting * Explanations: Use Markdown cells