Math and Jupyter Commands

• Lets start with math equation
  • other math notations
  • We can write Math inside two $$ as well. The difference is inline mode vs display mode. "Inline mode is for math that is included within a line or paragraph of text, and display mode is for math that is set apart from the main text.""
• Latex
  • Common symbols
  • Matrices and Brackets
• Jupyter Commands
  • 1. Text Commands
  • 2. Headings
• H1
  • H2
    • H3
      • H4
        • H5
          • H6
    • 3. Lists
      • Create an unordered list using an asterisk * for each item
      • Use indentation to create nested lists
      • 4. Tables
    • References

Here in this notebook, we will be looking into "how to write math equations in jupyter notebook". The reason for writing this notebook is, I want to have all these instructions at once instaed of wrangling around different websites

Lets start with math equation

The math equation cell needs to be in Markdown mode

$ \hat{y} = \hat{\beta}_{0} + \sum \limits_{j=1} ^{p} X_{j}\hat{\beta}_{j} $

$ \hat{y} = \hat{\beta}_{0} + \sum \limits_{j=1} ^{p} X_{j}\hat{\beta}_{j} $

other math notations

- $ : All the Math you want to write in the markdown should be inside opening and closing $ symbol in order to be processed as Math.
- \beta : Creates the symbol beta
- \hat{} : A hat is covered over anything inside the curly braces of \hat{}. E.g. in \hat{Y} hat is created over Y and in \hat{\beta}_{0},  hat is shown over beta
- _{} : Creates as subscript, anything inside the curly braces after _. E.g. \hat{\beta}_{0} will create beta with a hat and give it a subscript of 0.
- ^{} : (Similar to subscript) Creates as superscript, anything inside the curly braces after ^.
- \sum : Creates the summation symbol
- \limits _{} ^{} : Creates lower and upper limit for the \sum using the subscript and superscript notation.
- *** : Creates horizontal line
-   : Creates space. (Ref: Space in ‘markdown’ cell of Jupyter Notebook)
- \gamma : Creates gamma symbol
- \displaystyle : Forces display mode (BONUS 3 above). (Ref: Display style in Math mode)
- \frac{}{} : Creates fraction with two curly braces from numerator and denominator.
- <br> : Creates line breaks
- \Bigg : Helps create parenthesis of big sizes. (Ref: Brackets and Parentheses)
- \partial : Creates partial derivatives symbol
- \underset() : To write under a text. E.g. gamma under arg min, instead of a subscript. In the algorithm you’ll see both types.
- \in : Creates belongs to symbol which is heavily used in set theory.

We can write Math inside two $$ as well. The difference is inline mode vs display mode. "Inline mode is for math that is included within a line or paragraph of text, and display mode is for math that is set apart from the main text.""

$$f'(a) = \lim_{x \to a} \frac{f(x) - f(a)}{x-a}$$

$$f'(a) = \lim_{x \to a} \frac{f(x) - f(a)}{x-a}$$

Latex

Common symbols

from IPython.display import Image
Image(filename="/my_icons/latex/latex_common_symbols_1.png")

Image(filename="/my_icons/latex/latex_common_symbols_2.png")

Matrices and Brackets

Create a matrix without brackets:

$$\begin{matrix} a & b \\ c & d \end{matrix}$$

$$\begin{matrix} a & b \\ c & d \end{matrix}$$

Create a matrix with round brackets:

$$\begin{pmatrix} a & b \\ c & d \end{pmatrix}$$

$$\begin{pmatrix} a & b \\ c & d \end{pmatrix}$$

Create a matrix with square brackets:

$$\begin{bmatrix} 1 & 2 & 1 \\ 3 & 0 & 1 \\ 0 & 2 & 4 \end{bmatrix}$$

$$\begin{bmatrix} 1 & 2 & 1 \\ 3 & 0 & 1 \\ 0 & 2 & 4 \end{bmatrix}$$

Use \left and \right to enclose an arbitrary expression in brackets:

$$\left( \frac{p}{q} \right)$$

$$\left( \frac{p}{q} \right)$$

Jupyter Commands

1. Text Commands

*emphasis*, **strong**, 'code'

emphasis, strong,code

<b>This is bold text </b>

** This is bold text

--This is bold text

This is bold text

**This is bold text

__ This is bold text

2. Headings

# H1
## H2
### H3
#### H4
##### H5
###### H6

H1

H2

H3

H4

H5

H6

3. Lists

1. Number theory
2. Algebra
3. Partial differential equations
4. Probability

1. Number theory
2. Algebra
3. Partial differential equations
4. Probability

Create an unordered list using an asterisk * for each item

* Number theory
* Algebra
* Partial differential equations
* Probability

• Number theory
• Algebra
• Partial differential equations
• Probability

-   Fish
-   Eggs
-   Cheese

• Fish
• Eggs
• Cheese

<ul>
<li>Fish</li>
<li>Eggs</li>
<li>Cheese</li>
</ul>

• Fish
• Eggs
• Cheese

Use indentation to create nested lists

1. Mathematics
  * Calculus
  * Linear Algebra
  * Probability
2. Physics
  * Classical Mechanics
  * Relativity
  * Thermodynamics
3. Biology
  * Diffusion and Osmosis
  * Homeostasis
  * Immunology

1. Mathematics
   • Calculus
   • Linear Algebra
   • Probability
2. Physics
   • Classical Mechanics
   • Relativity
   • Thermodynamics
3. Biology
   • Diffusion and Osmosis
   • Homeostasis
   • Immunology

4. Tables

| Python Operator | Description  |
| :---: | :---: |
| `+` | addition |
| `-` | subtraction |
| `*` | multiplication |
| `/` | division |
| `**` | power |

Python Operator	Description
+	addition
-	subtraction
*	multiplication
/	division
**	power

#### 5. Links
#```
#[description](url)
#```
#[[UBC Math](http://www.math.ubc.ca)]

#### 6. Images
#```
#![description](url)
#```
#![preview](./my_icons/fastai_logo.png)

References

1. https://medium.com/analytics-vidhya/writing-math-equations-in-jupyter-notebook-a-naive-introduction-a5ce87b9a214
2. https://www.math.ubc.ca/~pwalls/math-python/jupyter/latex/
3. https://www.datacamp.com/community/tutorials/markdown-in-jupyter-notebook