Studying Notes in Mathematics

Because I write this article by Markdown+Math. So please see the symbol handbook:

Mathematics for Condensed Matter Science and Technology

The first derivative is the slope in math and the rate of change in physic.

f'(x)=\frac{df(x)}{dx}=\lim\limits_{\Delta x \to \ 0} \frac{f(x+\Delta x)-f(x)}{(x+\Delta x)-x}=\lim\limits_{\Delta x \to \ 0}\frac{f(x+\Delta x)-f(x)}{\Delta x}

Theory of computation