Index

Welcome to my home page. I am Ze Chen from the University of Science and Technology of China and have written some notes on the topics that I found interesting. Feel free to leave a comment on my posts, or to create your own posts. You may speak anonymously, or after signing up (takes only 20 seconds, no email verification required) if you wish.

If you spot any mistakes or have advice on improvements, comment under this post or under the post where the mistake lies. Your feedback is cherished and will be really helpful in improving the user experience of all visitors.

The following is an index of the notes I've written.

Mathematics

Physics

Quantum Field Theory
Mathematical
Quantum Field Theory (I)
Mathematical Prerequisites
Quantization
Quantum Field Theory (II)
Quantization of Fields
Feynman
Quantum Field Theory (III)
Feynman Diagrams
Renormalization
Quantum Field Theory (IV)
Renormalization
Feynman
Quantum Field Theory (V)
Applications of Feynman Diagrams
Mathematical Physics
Representations
Representation of Finite Groups
ねぇ、あなたは何色になりたい?

Computer Science (Applications)

Quizzes

Just for fun. Don't take them seriously.

Add a Japanese word.


FAQ

Also a reminder to myself.

How do I add a navigation tag?

The following code

%%% NAV
%%% NAV-TAG Tag1
content 1.
%%% NAV-TAG-END
%%% NAV-TAG Tag2
content 2.
%%% NAV-TAG-END
%%% NAV-END

renders

content 1.

content 2.

How do I add a <summary> tag?

The following code

+++ Title
content.
+++

renders

 Title

content.

How do I add a <span> with style?

Due to a conflict between plugins, the syntax for inserting a <span> is a little complicated.

[content]{}{ style="color: red;" }

renders content.

How do I preview my post?

By pressing <Ctrl> + <Enter> or by clicking the button.

How to open a specific post in a new tab?

If there are a few posts on your page, you may click the button to open a specific post in a new tab.

What are the pros and cons of writing notes in Markdown?

Pros Markdown interfaces better with HTML. It's crude on its own but is capable of utilizing the powerful functions provided by HTML and JavaScript. The ability to render <summary> tag is one of the examples where Markdown (with a lot of plugins) is able to render some interactive controls that are impossible to be implemented with LaTeX.

Cons LaTeX offers much more abundant packages to typeset diagrams (circuits diagrams, Feynman diagrams, commutative diagrams, etc.). These figures are compiled with LaTeX before uploaded and inserted into my notes.

How did I set up a Jupyter Notebook server?

I followed the procedure described here.

How do I remove a post?

Go to the Control Panel.

Scribble.findOneAndRemove({uuid:"e9dc6366-7f90-43ac-9ac4-4857f2746fc0"});

A TODO List

The following a list of improvements yet to be done on this site.

  • Make the behavior of auto-collapsing more reasonable.
  • Span.
  • A spinner in quizzes to indicate loading.
  • Preview behavior at the quiz editing page.



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2021/2/6 18:56:56

 

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Ze Chen 2021/5/13 18:23:50

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Migration

My new website is under construction now. Be patient.




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Algorithms


Miscellaneous

Ostrich Algorithm
Exponential Backoff



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Spam

My Devil's Dictionary

Chinese

  • 戾拔山兮气盖世: trolls.
  • 力排众议: 参议院否决众议院通过的弹劾案.

Polish

  • Cześć: CZ, escape!

Interesting

Disaster

Science and Math

  • Almost Integer
    • Most notably \((28-\delta^{-1})(\alpha^{-1}-137)=1\).

Languages

Research




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Towards Modernization (I): Front-End Techniques

Project and License

Initialize a Project

npm init -y
git init && git branch -m main

License

Create a file LICENSE and copy from a template, e.g. MIT or ISC.

Other Information

The following entries may be filled in package.json

"description": "A description",
"main": "./build/src/index.js",
"files": [
    "build/**/*"
],
"repository": {
    "type": "git",
    "url": "git+https://github.com/user/repo.git"
},
"license": "ISC",
"author": {
    "name": "Your Name",
    "email": "Your Email",
    "url": "Your URL"
},
"engines": {
    "node": ">=12.0"
},
"keywords": [
    "something"
],
"bugs": {
    "url": "https://github.com/user/repo/issues"
},
"homepage": "https://github.com/user/repo#readme",

Version Control

Husky

husky ensures that tests, lint, etc. are done before git commit. See installation procedure.

npx husky-init && npm install

Commitizen

commitizen generates the commit message upon each commit. Install via

npm install --save-dev commitizen

Then run

npx commitizen init cz-conventional-changelog --save-dev --save-exact

Install husky following the instruction here. Then integrate commitizen with husky by adding the following entry in package.json

"husky": {
  "hooks": {
    "prepare-commit-msg": "exec < /dev/tty && git cz --hook || true"
  }
}

Run npx cz to commit.

Run npx cz --retry to retry a failed commit.

Semantic Release

Install via

npm install --save-dev semantic-release

In package.json we need the following entry

"repository": {
    "type": "git",
    "url": "git+https://github.com/username/repo.git"
}

In .releaserc.json put

{
    "branches": ["main"],
    "plugins": [
        ["@semantic-release/npm", {
            "npmPublish": false
        }]
    ]
}

Note that we need to git push for once to make sure that the branch exists in the remote repo.

Then we could run semantic release

npx semantic-release --no-ci # --dry-run

semantic-release works also with Nx. See nx-semantic-release-demo.

Language

Typescript

Install with

npm install typescript --save-dev

Generate tsconfig.json

npx tsc --init

Add the following entry to package.json

"scripts": {
  "typecheck": "tsc --noEmit"
}

I decided to postpone the configuration until we set up Nx.

TS-Node

Install with

npm install -D typescript

Then we could execute .ts files directly

npx ts-node foo.ts

@types/node

Install with

npm install -D @types/node

See What is @types/node package in NodeJs?.

Code Style

Prettier

Format the code, e.g. trailing semicolons.

See here for set-up.

Install and configure with

npm install --save-dev --save-exact prettier
echo {}> .prettierrc.json

Add the following to .prettierignore

# Ignore artifacts:
build
coverage

Since we will be using lint-staged later, we don't have to worry about .prettierignore yet.

Run npx prettier --write . to format files.

Run npx prettier --check . to check files.

Remember to enable prettier in the editor (see Editor Integration).

ESLint

It's the recommended practice to let Prettier handle formatting and ESLint for non-formatting issues (See What's the difference between prettier-eslint, eslint-plugin-prettier and eslint-config-prettier?).

Install using

npm install eslint --save-dev

Then interactively configure eslint using

npm init @eslint/config

See a comparison of different style guides.

Remember to enable ESLint in the editor (see Editor Integration).

We may also need the following for ESLint to work correctly

extends: [
    "plugin:import/typescript", 'prettier'
]

rules: {
    'import/extensions': ['error', 'never']
},

ESLint With Prettier

To handle conflicting rules of ESLint with Prettier, we install eslint-config-prettier using (see GitHub: eslint-config-prettier)

npm install --save-dev eslint-config-prettier

Then we edit the following in *.eslintrc.*

{
  "extends": [
    "some-other-config-you-use",
    "prettier"
  ]
}

Make sure to put "prettier" last, so it gets the chance to override other configs.

It is debatable whether one should run Prettier as if it was a linter rule. Packages like eslint-plugin-prettier do that job. However, based on the discussion in Integrating with Linters, we don't use this plugin.

ESLint Plugins

ESLint-Node

Install with

npm install --save-dev eslint-plugin-node

Then in .eslintrc.js add (see eslint-plugin-node)

extends: [
    "plugin:node/recommended",
]

However, I had not enabled this plugin yet because it has some problems when working with TypeScript (ECMAScript to be specific).

Lint-Staged

Make sure that Prettier and ESLint are both installed before installing lint-staged.

For Prettier and ESLint to automatically run upon git commit, we install lint-staged via (see lint-staged)

npx mrm@2 lint-staged

It may match only *.js files. Edit the lint-staged entry in package.json so that it covers *.ts as well.

EsLint automatically finds .eslintrc in the directory of the file to be linted, see Configuration Files.

Documentation

Typedoc

Install with

npm install -D typedoc

Add to the root dir a file typedoc.json with

{
  "out": "doc",
  "theme": "default"
}

Generate doc with (e.g. in an Nx workspace)

typedoc --tsconfig libs/data/tsconfig.lib.json --out docs/data libs/data/src/index.ts

See Add possibility to generating documentation for non component libraries.

Paradigm

Immer

Remark: another option is using immutable. However, we don't bother using it since Redux Toolkit uses immer.

Ramda

A functional programming library. See ramda.

RxJS

See RxJS. Library for observables.

Testing

Jest

Install with

npm install --save-dev jest

Add the following entry to package.json

{
  "scripts": {
    "test": "jest --coverage",
    "test:watch": "jest --watch"
  }
}

We may start a test using

npm t

For a tutorial, see Getting Started.

If husky is installed, tests will run automatically upon git commit.

To generate coverage report, run

npx jest --coverage

TS-Jest

Install with

npm i -D ts-jest @types/jest

Create config file with

npx ts-jest config:init

Edit jest.config.js

module.exports = {
  preset: 'ts-jest',
  testEnvironment: 'node',
  testMatch: ['**/test/**/*.spec.ts'],
  collectCoverageFrom: [
    '<rootDir>/src/**/*.ts',
    '!<rootDir>/src/types/**/*.ts',
  ],
  globals: {
    'ts-jest': {
      diagnostics: false,
    },
  },
};

ESLint With Jest

See eslint-plugin-jest for installation and configuration. In .eslintrc.js we need

env: {
    'jest/globals': true,
}

plugins: ['jest'],

See How to use ESLint with Jest.

Testing Library

Cypress

Cypress is for e2e test.

Front-End

React

Redux

Redux Toolkits uses immer, making states immutable.

i18next

Styling

Tailwindcss

Install the dev-dependencies first

npm install -D tailwindcss postcss autoprefixer vite

Then init at the component lib directory e.g. libs/ui with

npx tailwindcss init -p

Styled-Components

Interaction

Three.js

React-Spring

@use-gesture/react

Cytoscape

See react-cytoscapejs.

Transpiling and Bundling

For a brief introduction, see Setup react with webpack and babel.

Babel

Transpiles your scripts.

Webpack

Bundles your scripts.

Back-End and Integration

Next.js

To let Next.js work with Nest one may try Next + Nest: Working together or NestJS + React (Next.js) in One MVC Repo for Rapid Prototyping. However, I don't deploy these techniques since I am gonna use Nx.

Next.js comes with webpack and babel, customization of which could be found here.

Nx

Create an Nx workspace

npx create-nx-workspace

Install Nx CLI

npm install -g nx

To run multiple tasks, run

nx run-many --target=serve --projects=api,html --parallel
Storybook With Nx
npm install -D @nrwl/storybook
nx g @nrwl/react:storybook-configuration project-name
nx run project-name:storybook
Note on Nx

Graphql

Prisma

Nexus

Nest

Install with

npm i -g @nestjs/cli

Then we could start a new project by

nest new project-name

This will pop up an interactive setup program.

A Collection of Terminologies
  • SOLID principles:
    • The single-responsibility principle: "There should never be more than one reason for a class to change." In other words, every class should have only one responsibility.
    • The open–closed principle: "Software entities ... should be open for extension, but closed for modification."
    • The Liskov substitution principle: "Functions that use pointers or references to base classes must be able to use objects of derived classes without knowing it." See also design by contract.
    • The interface segregation principle: "Many client-specific interfaces are better than one general-purpose interface."
    • The dependency inversion principle: "Depend upon abstractions, [not] concretions."
  • DTO: Data transfer object.
  • CRUD: Create, Read, Update, Delete.
  • IoC: inversion of control.
Controller

Create a controller using

nest g controller controller-name
Service

Create a service using

nest g service service-name
Module

Create a module using

nest g module module-name
CRUD Resource

Create a resource using

nest g resource users 

This will pop up an interactive creator. Controllers, modules, services, and DTOs are automatically generated.

MongoDB

Authentication

Passport

Using With NestJS

Install with

npm i @nestjs/passport passport passport-local
npm install -D @types/passport-local

OAuth

OpenId

Deploy

Nginx

For a basic config see Next.js + API on same server.

Docker

To have docker alpine image node:alpine run with Next.js we may need the following

RUN apk add --no-cache libc6-compat

Moreover we need (for compiling)

RUN apk add --no-cache --virtual .gyp \
        python3 \
        make \
        g++
RUN npm i
RUN npx nx run-many --target=build --projects=api,front --prod
RUN apk del .gyp

AWS Elastic Beanstalk

To deploy apps to AWS Elastic Bean, See @How to Deploy a NestJS app to AWS Elastic Beanstalk (with added HTTPS and CI/CD).




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2022/1/22 16:24:10

 

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漢これ

漢文これくしょん


諫逐客書

此四君者,皆以客之功。由此觀之,客何負於秦哉?向使四君卻客而不內,疏士而不用;是使國無富利之實,而秦無強大之名也。

不問可否,不論曲直,非秦者去,為客者逐。然則是所重者,在乎色、樂、珠、玉,而所輕者在乎人民也...

夫物不產於秦,可寶者多;士不產於秦,而願忠者衆。今逐客以資敵國,損民以益讎,內自虛而外樹怨於諸侯,求國之無危,不可得也。

答蘇武書

陵謂足下,當享茅土之薦,受千乘之賞;聞子之歸,賜不過二百萬,位不過典屬國,無尺土之封,加子之勤。而妨功害能之臣,盡為萬戶侯;親戚貪佞之類,悉為廊廟宰。子尚如此,陵復何望哉?且漢厚誅陵以不死,薄賞子以守節,欲使遠聽之臣,望風馳命,此實難矣。所以每顧而不悔者也。陵雖孤恩,漢亦負德。

東晉

蘭亭集序

後之視今,亦由今之視昔,悲夫!

阿房宮賦

使天下之人,不敢言而敢怒。獨夫之心,日益驕固。

秦人不暇自哀,而後人哀之。後人哀之,而不鑑之,亦使後人而復哀後人也。




  Expand

2022/1/12 21:23:35

 

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