# LaTeX syntax

For addition, you use the `+` symbol e.g. `a + b = c`:
$$ a + b = c$$

For subtraction, you use the `-` symbol e.g. `a - b = c`
$$ a - b = c$$

For multiplication, you just write `ab` or put a dot in between with `\cdot` (meaning: "centered dot") like `a \cdot b`.  
Using `a * b` doesn't look natural in most cases $a * b$ (but it might make sense sometimes!)
$$a\cdot b = c$$

For fractions, you use `\frac{a}{b}` or `{a \over b}`.  
You can use `a / b` if you don't want to make a fraction $a / b$.
$${a \over b} = c$$

For modulo, you can use `a \% b` if it's. The percent symbol is comment `% ... comment ...`.  
Usually in mathematics, you write modulo as "congruence modulo N" which you do like `a = b \pmod{N}`
$$ a = b \pmod{N}$$

For exponentiation, you use `e^{ ... }` e.g. `e^{i\phi} = \cos(\phi) + i\sin(\phi)`.  
When it's a single variable in the exponent, omitting braces is fine e.g. `e^\phi` or `e^{\phi}` are both fine.
$$e^{i\phi} = \cos(\phi) + i\sin(\phi)$$

For logarithm, you use `\ln`.
$$\ln(1 + x) = 1 + x + $$

For integrals, you use `\int`, `\iint`, `\iiint`, `\oint`, `\oiint`, `\oiiint`.
$$\int \iint \iiint \oint \oiint \oiiint$$