iit-unam-step-response/Guide_for_Markdown.md

# Complete Guide to Writing Markdown (.md) Files

## 1. Headers

Use the `#` symbol to create headers. More `#` symbols = smaller headers:

```
# Heading 1 (Main Title)
## Heading 2 (Section)
### Heading 3 (Subsection)
#### Heading 4
##### Heading 5
###### Heading 6
```

---

## 2. Text Formatting

### Bold Text
Use `**text**` or `__text__`:
- **This is bold**
- __This is also bold__

### Italic Text
Use `*text*` or `_text_`:
- *This is italic*
- _This is also italic_

### Bold and Italic
Use `***text***` or `___text___`:
- ***This is bold and italic***

### Strikethrough
Use `~~text~~`:
- ~~This text is crossed out~~

---

## 3. Lists

### Unordered Lists
Use `-`, `*`, or `+`:

```
- Item 1
- Item 2
  - Nested item 2.1
  - Nested item 2.2
- Item 3
```

### Ordered Lists
Use numbers followed by a period:

```
1. First item
2. Second item
   1. Nested item 2.1
   2. Nested item 2.2
3. Third item
```

---

## 4. Links and Images

### Hyperlinks
`[Display Text](URL)`

Example: [Visit Google](https://google.com)

### Links with Titles
`[Display Text](URL "Title")`

Example: [Visit Google](https://google.com "Search Engine")

### Images
`![Alt Text](Image URL)`

Example: ![Sample Image](https://via.placeholder.com/150)

---

## 5. Code

### Inline Code
Use backticks `` ` `` for inline code:

Example: Use the `print()` function to display text.

### Code Blocks
Use three backticks `` ``` `` and specify the language:

```python
def hello_world():
    print("Hello, World!")
    return True
```

```javascript
function helloWorld() {
    console.log("Hello, World!");
    return true;
}
```

---

## 6. Blockquotes

Use the `>` symbol:

```
> This is a blockquote.
> It can span multiple lines.
>> Nested blockquote
```

Renders as:

> This is a blockquote.
> It can span multiple lines.

---

## 7. Horizontal Lines

Use `---`, `***`, or `___`:

```
---
```

---

## 8. Tables

Use pipes `|` to create tables:

```
| Header 1 | Header 2 | Header 3 |
|----------|----------|----------|
| Cell 1   | Cell 2   | Cell 3   |
| Cell 4   | Cell 5   | Cell 6   |
```

| Header 1 | Header 2 | Header 3 |
|----------|----------|----------|
| Cell 1   | Cell 2   | Cell 3   |
| Cell 4   | Cell 5   | Cell 6   |

---

## 9. Escape Characters

Use backslash `\` to escape special characters:

```
\* This won't be a bullet point
\# This won't be a header
```

---

## 10. Special Elements

### Task Lists
```
- [x] Completed task
- [ ] Incomplete task
- [ ] Another task
```

### Line Breaks
Use two spaces at the end of a line or press Enter twice for a paragraph break.

---

## 11. Best Practices for Article Writing

1. **Use clear hierarchy** - Organize your content with proper heading levels
2. **Keep paragraphs short** - Easier to read on screens
3. **Use lists** - Break down complex information
4. **Add visual breaks** - Use horizontal lines to separate sections
5. **Include code examples** - If your article mentions code, show examples
6. **Link to references** - Provide sources and related content
7. **Use emphasis wisely** - Bold and italic for important terms only
8. **Consistent formatting** - Keep the same style throughout
9. **Proofread** - Check for typos and grammar
10. **Test links** - Make sure all links work

---

## 12. Article Structure Template

Use this template for your article:

```markdown
# Article Title

## Abstract or Introduction
Brief overview of what the article covers.

## 1. First Main Topic
Content here...

### 1.1 Subtopic
More detailed content...

## 2. Second Main Topic
Content here...

## 3. Third Main Topic
Content here...

## Conclusion
Summary and key takeaways...

## References
- [Source 1](URL)
- [Source 2](URL)
```

---

## 13. Mathematical Equations (LaTeX)

Markdown supports LaTeX syntax for mathematical equations. Perfect for scientific and technical articles!

### Inline Equations
Use single dollar signs `$...$` to write equations within text:

```
The famous equation $E = mc^2$ describes energy and mass.
```

Renders as: The famous equation $E = mc^2$ describes energy and mass.

### Display Equations (Centered)
Use double dollar signs `$$...$$` for larger, centered equations:

```
$$E = mc^2$$
```

Renders as:
$$E = mc^2$$

### Greek Letters
```
$$\alpha, \beta, \gamma, \delta, \epsilon, \pi, \sigma, \omega$$
```

### Fractions
```
$$\frac{numerator}{denominator}$$

Example: $$\frac{a + b}{c}$$
```

### Superscript and Subscript
```
$$x^2 + y_1 = z$$
$$a^{2n} + b_{i,j}$$
```

### Square Roots
```
$$\sqrt{x}$$
$$\sqrt[n]{x}$$
```

### Summation and Products
```
$$\sum_{i=1}^{n} x_i$$

$$\prod_{i=1}^{n} x_i$$
```

### Integrals
```
$$\int_0^{\infty} e^{-x} dx$$

$$\int \int_R f(x,y) dA$$
```

### Advanced Examples

**Quadratic Formula:**
```
$$x = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a}$$
```

**Binomial Expansion:**
```
$$(a + b)^n = \sum_{k=0}^{n} \binom{n}{k} a^{n-k} b^k$$
```

**System of Equations:**
```
$$\begin{cases}
x + y = 5 \\
x - y = 1
\end{cases}$$
```

**Matrix:**
```
$$\begin{pmatrix}
a & b \\
c & d
\end{pmatrix}$$
```

---

## 14. Equation References and Numbering

You can create numbered equations and reference them throughout your document. This is essential for academic and technical papers.

### Method 1: Using Equation Environment with Labels

```latex
$$
\begin{equation}
E = mc^2
\label{eq:einstein}
\end{equation}
$$

As shown in equation \eqref{eq:einstein}, energy equals mass times...
```

This creates a numbered equation that you can reference later using `\eqref{eq:einstein}`.

### Method 2: Align Environment (Multiple Equations)

```latex
$$
\begin{align}
x + y &= 5 \label{eq:first} \\
x - y &= 1 \label{eq:second}
\end{align}
$$

From equation \eqref{eq:first} and equation \eqref{eq:second}, we can solve for $x$ and $y$.
```

### Method 3: Step-by-Step Derivation

```latex
$$
\begin{align}
(a + b)^2 &= a^2 + 2ab + b^2 \label{eq:expand} \\
&= a^2 + ab + ab + b^2 \\
&= a(a + b) + b(a + b)
\end{align}
$$

Equation \eqref{eq:expand} shows the binomial expansion.
```

### Referencing Equations

Once you've labeled an equation, reference it using:
- `\eqref{eq:label}` - Shows as: (1), (2), etc.
- `\ref{eq:label}` - Shows just the number without parentheses

### Naming Conventions for Labels

Use descriptive label names:
- `\label{eq:einstein}` - Named after scientist
- `\label{eq:pythagoras}` - For Pythagorean theorem
- `\label{eq:quadratic_formula}` - Descriptive name
- `\label{eq:1}` - Simple numbering (less recommended)

### Complete Example for Your Article

```markdown
## Physics Section

The most important equation in physics is:

$$
\begin{equation}
E = mc^2
\label{eq:mass_energy}
\end{equation}
$$

As Einstein demonstrated in equation \eqref{eq:mass_energy}, 
the energy of an object is equal to its mass multiplied by the 
square of the speed of light.

## Results

Equation \eqref{eq:mass_energy} has been experimentally confirmed...
```

### Tips

1. **Use descriptive labels** - Makes it easier to find references later
2. **Place labels at the end of equations** - `\label{}` should be last
3. **Use consistent naming** - `eq:`, `fig:`, `table:` prefixes help organize
4. **Test references** - Make sure all `\eqref{}` calls match existing labels
5. **Not all markdown viewers support this** - Works best in LaTeX, Jupyter, and some markdown processors

---

## Getting Started

1. Create your `.md` file in any text editor
2. Use the syntax above to format your content
3. Save the file with the `.md` extension
4. You can preview it in VS Code or any markdown viewer

Happy writing! 📝