Writing

$\TeX$

$\TeX$ is a typesetting program specialized for expressing formulas, considered an essential markup language for writing papers in fields close to formal sciences. $\TeX$ is pronounced as “Tech,” not “Tex.” Likewise, $\LaTeX$ is pronounced as “Lay-tech,” not “La-tex.”

The default font used in $\LaTeX$ is ‘Computer Modern.’

The section before the main content begins — that is, between \documentclass{article} and \begin{document} — is called the preamble, where you load necessary packages or write custom code.

Meta $\TeX$

• Installing $\TeX$ and Using it with VS Code
• Writing $\TeX$ Code in Gmail (Email)
• IguanaTeX: How to Input TeX in PowerPoint

Commands

• Creating a New Command to Use \begin{}...\end{} Syntax as a Single Function \newcommand{\eq}[1]{\begin{equation}#1\end{equation}}
• Differences between \mathrm, \text, and \operatorname
• 🔒(25/06/26)Brace terms in Tex \overbrace, \underbrace
• 🔒(25/06/13)How to Use Hyperlinks \href{url}{content}

Style

• Using Quotation Marks
• How to Order Alphabetically with enumerate: [label=(\alph*)]
• How to Use Square Brackets with enumerate: [label={[}\arabic*{]}]
• How to Assign Numbers Arbitrarily with enumerate: \setcounter{enumi}{n}
• Packages Related to Underlining wih: ulem
  • How to Use Strikethrough \sout, \st
• How to Highlight (with a Marker) Text and Equations \hl
• 🔒(25/06/15)List of Available Fonts
• 🔒(25/06/23)How to Use Colors \usepackage{xcolor}, {\color{color} contents}
  • 🔒(25/06/25)How to Use Custom Colors \defincecolor{color name}{mode}{value}

$\LaTeX$

• Writing Korean in $\TeX$
• Referencing Equations
• Hiding the Date with \maketitle
• How to Set a Document Horizontally \usepackage[landscape]{geometry}
• How to Remove Indentation in the Entire Document \setlength{\parindent}{0pt}
• How to Merge Multiple TeX Files into One \include, \input

BibTeX

• How to Sort Bibliographies Chronologically or Reverse Chronologically sorting=ydnt
• How to not omit author names maxbibnames=99
• Customizing the Order of References
• Hiding Specific Fields
• How to Add Hyperlinks to Bibliography Numbers \usepackage{hyperref}
• How to Make References Appear in Numerical Order When Using \cite{}: \usepackage{cite}

Tricks

• Using Large Brackets on One Side Only \left., \right.
• Increasing Line Spacing \\[1em] \\[1pt]
• Customizing Chapter and Section Numbering \setcounter{chapter}{}
• How to render text, formulas, pictures, and more transparently \phantom
• How to Automatically Fill Blank Spaces \vfill, \hfill
• 🔒(25/06/22)How to Use Lorem Ipsum \lipsum

Visualization

• Drawing Subplots
• Inserting GIF Animations
• Inserting Code Blocks
• Drawing Universal Property Diagrams
• Website for Easily Creating LaTeX Tables: Tables Generator
• 🔒(25/06/21)How to Automatically Number Figures Beamer \setbeamertemplate{caption}[numbered]
• 🔒(25/06/27)How to Use Dice Images \usepackage{customdice}

English

The language of science is mathematics, and the language of mathematics is English. People studying formal sciences mostly study and write papers in English. Here, confusing grammar points are clarified and useful tips are introduced.

• 🔒(25/04/30)A Comprehensive Compilation of Mathematical and Scientific Terms (Korean, English, Japanese)

Grammar

• After Every and Each, a Singular Noun Must Follow
• After All, Either a Countable Noun in Plural Form or an Uncountable Noun in Singular Form Follows
• After Let, a Base Form Verb Must Follow
• Don’t start sentences with And, But, or So
• Do not use articles for Figure, Table, and Appendice

Sentence Patterns

• To V with a probability of $a$
• X의 인근에: in the vicinity of X
• A와 B의 조합인 X: a X coupling A and B
• 그에 해당하는 X: the corresponding X
• V함에 있어서 A한 역할을 하다: play a A role V-ing
• S가 A한 채로 남아 있다: S remains A
• 🔒(25/07/16)English

Vocabulary

• 고려하다: take into account, consider
• 나뉘다: be divied into
• 🔒(25/06/30)작은, 극소의: tiny, minuscule
• 🔒(25/07/08)일치하다: consistent with, agree with
• 🔒(25/07/20)Unprecedented

Symbols and Abbreviations

• Difference between Abbreviation and Acronym
• How to Read and Write Greek Letters and Their Significance in Mathematics and Science
• Differentiating Between Double-u $w$ and Omega $\omega$ in Mathematics and Physics Textbooks
• Common Symbols and Abbreviations Used in Mathematics