Explanation
The x axis represents the real component, and the y axis represents the imaginary component.
Complex numbers are numbers with both real and imaginary parts:
$$z = a + b\sqrt{-1} = a + bi$$
Reverse Polish Notation, or
postfix notation is a way of writing functions. Normally, most people would write functions using
infix notation like this:
$$a + b + \sin c$$
Postfix notation looks like this:
$$a\ b + c \sin +$$
For a more simple example, $a + b$ would be $a\ b\ +$, and $\sin x$ would be $x \sin$.
You can plot multiple functions by separating them with commas, but it will be slow.
List of all functions and constants
Function or constant | What it means |
x | The input to the function. |
i | $i = \sqrt{-1}$ |
n (e.g. 5, 4, 3.1, -32.123) | A real number. |
ni (e.g. 5i, 4i, 3.1i, -32.123i) | $i$ ($\sqrt{-1}$) times a certain real number. |
+ | Addition |
- | Subtraction |
* | Multiplication |
/ | Division |
^ | Exponentiation ($a^b$) |
re | Real component. If $z = a+bi$, $\textrm{Re}(z) = a$ |
im | Imaginary component. If $z = a+bi$, $\textrm{Im}(z) = b$ |
pi | $\pi = 3.14159265...$ |
e | $e = 2.7182818...$ |
sqrt | $\sqrt{x}$ |
abs | $|x|$ |
exp | $e^x$ |
sin | Sine |
cos | Cosine |
tan | Tangent |
ln | Natural logarithm ($\log_e x$) |
log | Logarithm ($\log_a b$) |
sinh | Hyperbolic sine |
cosh | Hyperbolic cosine |
tanh | Hyperbolic tangent |