How to add math on your blog : MathJax + Blogger

This tip is useful for engineering and science bloggers who want to share their knowledge on the web. Here is the way I found. I recently tested it on the blogger system,  the purpose is to share science tutorials with you using the correct math way.

Let's do it!

Draft on paper of the Debye-Scherrer equation for crystal size calculation 

Step 1: Add a new gadget to your blog and copy and paste the following script.

<script src="https://polyfill.io/v3/polyfill.min.js?features=es6"></script>
<script id="MathJax-script" async src="https://cdn.jsdelivr.net/npm/mathjax@3/es5/tex-mml-chtml.js"></script>

Step 2: Write code in a new post following using latex language inside:

• Inline \( latex code here \)
• Paragraph  \[ latex code here \]

Step 3: Equation test: Debye -Scherrer  for crystal size calculation
$$D(\text{nm})=\frac{0.9\lambda }{\beta \cos \theta }$$

• D: Crystal size 
• $\lambda$ : 0.15406 nm  X-Ray wavelength 
• $\beta$ :  FWHM in radians (Full width at half maximum)  
• $\theta$ : Angle location of the peak in radians. 

If you have any questions, please comment on the post.

Samples from : https://www.mathjax.org/#samples

• The Quadratic Formula

$$x=\frac{-b\pm \sqrt{b^2-4ac}}{2a}$$

• Cauchy's Integral Formula

$$f(a)=\frac{1}{2\pi i}\oint \frac{f(z)}{z-a}dz$$

• Angle Sum Formula for Cosines

$$\cos (\theta +\varphi )=\cos (\theta )\cos (\varphi )-\sin (\theta )\sin (\varphi )$$

• Gauss' Divergence Theorem

$${\int }_D(\mathrm{\nabla }\cdot F)dV={\int }_{\partial D}F\cdot ndS$$

• Curl of a Vector Field

$$\overrightarrow{\mathrm{\nabla }}\times \overrightarrow{F}=(\frac{\partial F_z}{\partial y}-\frac{\partial F_y}{\partial z})\mathbf{i}+(\frac{\partial F_x}{\partial z}-\frac{\partial F_z}{\partial x})\mathbf{j}+(\frac{\partial F_y}{\partial x}-\frac{\partial F_x}{\partial y})\mathbf{k}$$

• Standard Deviation

$$\sigma =\sqrt{\frac{1}{N}\sum _{i=1}^N(x_i-\mu {)}^2}$$

• Definition of Christoffel Symbols

$$({\mathrm{\nabla }}_{X}Y{)}^k=X^i({\mathrm{\nabla }}_{i}Y{)}^k=X^i(\frac{\partial Y^k}{\partial x^i}+{\mathrm{\Gamma }}_{im}^k{Y}^m)$$