School/Perlite/perlite/Demo/Demo Documents/Latex and Mermaid.md
2025-09-01 20:50:07 +02:00

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## LaTeX
Inline math equations go in like so: $\omega = d\phi / dt$.
Display math should get its own line and be put in in double-dollarsigns:
$$I = \int \rho R^{2} dV$$
And note that you can backslash-escape any punctuation characters which you wish to be displayed literally, ex.: \`foo\`, \*bar\*, etc.
Consider non-empty sets $A$, $B$ and $C$. Then a binary operation $f$ is a mapping from set $A\times C$ to set $A$ or $B$.
$$f\colon D\subseteq A \times C \to \left[ \begin{array}{lcl} A \\ B \end{array} \right.$$
## Mermaid
Simple Flow Chart
```mermaid
flowchart LR
id1[[This is the text in the box1]]
```
Mermaid Graph
```mermaid
graph TD;
A-->B;
A-->C;
B-->D;
C-->D;
```
Sequence Diagram
```mermaid
sequenceDiagram
participant Alice
participant Bob
Alice->>John: Hello John, how are you?
loop Healthcheck
John->>John: Fight against hypochondria
end
Note right of John: Rational thoughts <br/>prevail!
John-->>Alice: Great!
John->>Bob: How about you?
Bob-->>John: Jolly good!
```