Miscellanea

TBD

Example of Flow Chart

graph LR
  A[Start] --> B{Error?};
  B -->|Yes| C[Hmm...];
  C --> D[Debug];
  D --> B;
  B ---->|No| E[Yay!];

Example of State Diagram

stateDiagram-v2
  state fork_state <<fork>>
    [*] --> fork_state
    fork_state --> State2
    fork_state --> State3

    state join_state <<join>>
    State2 --> join_state
    State3 --> join_state
    join_state --> State4
    State4 --> [*]

Example of State Diagram

See: mermaid.js.org

mindmap
  root((mindmap))
    Origins
      Long history
      ::icon(fa fa-book)
      Popularisation
        British popular psychology author Tony Buzan
    Research
      On effectiveness<br/>and features
      On Automatic creation
        Uses
            Creative techniques
            Strategic planning
            Argument mapping
    Tools
      Pen and paper
      Mermaid

Example of LaTeX formulas

Inline math: \( E = mc^2 \), or \(L=q_\infty S C_L\,\).

Display, unnumbered:

\[ E = mc^2 \]

Display, numbered:

\[\begin{equation} \operatorname{ker} f=\{g\in G:f(g)=e_{H}\}{\mbox{.}} \end{equation}\]

The homomorphism \(f\) is injective if and only if its kernel is only the singleton set \(e_G\), because otherwise \(\exists a,b\in G\) with \(a\neq b\) such that \(f(a)=f(b)\).