From 9696c9b2753f5d7a55eca94331d1ec01ced08e52 Mon Sep 17 00:00:00 2001 From: pommicket Date: Sun, 16 Oct 2016 15:07:39 -0400 Subject: Added complex RPN functions --- complexfunctions.html | 89 +++++++++++++++++++++++++++++++++++++++++++++++++++ 1 file changed, 89 insertions(+) create mode 100644 complexfunctions.html (limited to 'complexfunctions.html') diff --git a/complexfunctions.html b/complexfunctions.html new file mode 100644 index 0000000..f815b41 --- /dev/null +++ b/complexfunctions.html @@ -0,0 +1,89 @@ + + + + + + + + + + + + + + + Complex Functions + + + +
+ + + +

Graph reverse polish notation + complex functions

+ + See explanation below. + + +
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+ Function + +
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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 $x \sin$. +

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 $\sqrt{x}$
exp $e^x$
sin Sine
cos Cosine
tan Tangent
sinh Hyperbolic sine
cosh Hyperbolic cosine
tanh Hyperbolic tangent
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+ + -- cgit v1.2.3