How to Get Epup to Read Mode

Writing Math Equations in Jupyter Notebook: A Naive Introduction

Writing Math Equations on Jupyter Notebook

I wrote all the text, symbols (even the arrows!) and equations in the image above on Jupyter notebook'southward markdown!
Source: giphy.com

Switching to Markdown from options in main menu

Switching to Markdown mode from drib down

Linear model is one where relationship between dependent and independent variables is linear in parameters.

Linear Model

LaTeX Jupyter Markdown syntax for linear model with beta, hat, sum, limits of sum, subscript, superscript

$\hat{Y} = \hat{\beta}_{0} + \sum \limits _{j=i} ^{p} X_{j}\hat{\beta}_{j} $
                      $            : All the Math you desire to write in the markdown should be within opening and closing $ symbol in lodge 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} chapeau is created over Y and in \hat{\beta}_{0},  hat is shown over            beta                                _{}            : Creates as subscript, anything inside the curly braces after _. E.m. \lid{\beta}_{0} volition create beta with a hat and give information technology a subscript of 0.                      ^{}            : (Similar to subscript) Creates as superscript, annihilation 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.                  

Display math mode for LaTeX Jupyter Markdown of Linear Model

Display manner with Math inside two $$
Source: giphy.com

GBM — Gradient Tree Boosting Algorithm

Generic Slope Tree Boosting Algorithm
Source: giphy.com
                      ***            : Creates horizontal line                      &emsp;            : Creates infinite. (Ref: Space in 'markdown' cell of Jupyter Notebook)                      \gamma            : Creates            gamma            symbol                      \displaystyle            : Forces display mode (BONUS 3            in a higher place). (Ref: Brandish style in Math mode)                      \frac{}{}            : Creates fraction with ii curly braces from numerator and denominator.                      <br>            : Creates line breaks                      \Bigg            : Helps create parenthesis of big sizes. (Ref: Brackets and Parentheses)                      \fractional            : Creates partial derivatives symbol                      \underset() : To write under a text. E.1000.            gamma            under            arg min, instead of a subscript. In the algorithm y'all'll see both types.                      \in            : Creates            belongs to            symbol which is heavily used in set theory.        

LaTeX Jupyter Markdown syntax for Gradient Tree Boosting Algorithm

Markdown syntax for Gradient Tree Boosting Algorithm and its output in a separate jail cell
Source: tenor.com
          ***
$\mathbf{\text{Slope Tree Boosting Algorithm}}$<br>
***
i.&emsp;Initialize model with a constant value $$f_{0}(x) = \textrm{arg min}_{\gamma} \sum \limits _{i=ane} ^{N} 50(y_{i}, \gamma)$$
two.&emsp;For m = one to M:<br>
&emsp;&emsp;(a)&emsp;For $i = 1,2,...,N$ compute<br>
$$r_{im} = - \displaystyle \Bigg[\frac{\partial Fifty(y_{i}, f(x_{i}))}{\partial f(x_{i})}\Bigg]_{f=f_{m−i}}$$
&emsp;&emsp;(b)&emsp;Fit a regression tree to the targets $r_{im}$ giving terminal regions<br>
&emsp;&emsp;&emsp;&emsp;$R_{jm}, j = 1, ii, . . . , J_{k}.$<br><br>
&emsp;&emsp;(c)&emsp;For $j = i, ii, . . . , J_{m}$ compute<br>
$$\gamma_{jm} = \underset{\gamma}{\textrm{arg min}} \sum \limits _{x_{i} \in R_{jm}} L(y_{i}, f_{one thousand−1}(x_{i}) + \gamma)$$
<br>
&emsp;&emsp;(d)&emsp;Update $f_{g}(x) = f_{m−ane}(x) + \sum _{j=1} ^{J_{1000}} \gamma_{jm} I(ten \in R_{jm})$<br><br>
3. Output $\hat{f}(x) = f_{M}(10)$
***

LaTeX Jupyter Markdown syntax for Variance Covariance Matrix

Markdown syntax for Variance Covariance Matrix

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Source: https://medium.com/analytics-vidhya/writing-math-equations-in-jupyter-notebook-a-naive-introduction-a5ce87b9a214

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