陳捷 Jesse Chieh Chen

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Who am I?

Find the serious answer here.

Popular Mathematics

• 《塔木德》中的公平: 在東西不夠的時候，怎麼分才公平呢？只有「按照比例分」才叫做公平嗎？看看兩位二十一世紀的經濟學家是怎麼解釋千年猶太經典《塔木德》中關於「公平」意想不到的故事吧。
• 你能通過牛津大學的數學面試嗎？: 數學的精神不在於複雜的計算，而是在於找尋規律與邏輯的思考。牛津大學的數學口試的其中一個問題不需要任何的計算就可以回答，你可以通過嗎？
• 一個關於剪紙的定理: 你能把一個圖形剪貼成另一個圖形嗎？
• RPN Calculator: An online Reverse Polish Notation (RPN) calculator that also converts RPN into infix notation.

Statistics

• Definiteness of Covariance Matrices: What do we mean when we compare covariances matrices through positive definiteness? A short intuitive interpretation.
• Fisher Information: A brief introduction to Fisher Information and some related ideas.
• Metropolis-Hastings Algorithm: An explanation and demonstration of the Metropolis-Hastings algorithm.
• Sufficient Statistics: Short definition and example of sufficient statistics.
• Mallow’s Cp: Motivating Mallow’s \(C_p\) criterion, one of the simplest model selection criterion.
• Akaike Information Criterion (AIC): Motivating AIC, one of the most popular model selection criterion.
• von Neumann’s Ergodicity Theorem: An introduction to von Neumann’s Ergodicity Theroem and its connection with convergence of Markov Chains.
• Weak IV: An overview of some concepts in weak instrument variables.
• Shannon Entropy: Motivating the definition of entropy in information theroy.

Code

• vindent.nvim: A minimal, modern and highly customizable Neovim plugin that provides indentation-based navigation motions and text objects.
• up.nvim: A Neovim plugin that provides a simple way to navigate up the directory tree.
• vim-bunttex: Minimal syntax highlighting for \(\mathrm{\LaTeX}\).
• del: A minimal and safe alternative to rm.
• whenever: Run a command whenever a file/directory is changed.
• Makefile for Economists: A practical introduction to Makefile for economists.
• LaTeX Setup in Vim/Neovim: A brief description of my \(\mathrm{\LaTeX}\) setup in Vim/Neovim.
• Hammerspoon Tips: A collection of useful Hammerspoon tips and tricks.

Potpourri

• 《出洋肄習錄》：在紐約所見所聞的流水帳。
• 〈李鴻章特輯〉：太子太傅文華殿大學士一等肅毅伯合肥李鴻章在紐約的一週。
• 《論語雜論》：想到就寫下來的儒家筆記。
• 中文量詞: 中文裡有很多相似、但是意義卻又微妙不同的量詞，像是「雙、副、對」或「條、根、支」。台灣的母語使用者會怎麼在這幾個量詞之間選擇呢？一個簡單的問卷調查結果。
• Kelighine 遊戲: 我國中莫名其妙發明的一款遊戲， 2020 年的時候想說可以把遊戲規則紀錄一下，以免變老之後就忘記了。
• Arrow’s Impossibility Theorem: A one-page summary of Arrow’s Impossibility theroem.
• Gallery: Some graphics I’ve created.