From ed2a1210b4379ef18c28022001c42113d4d70e58 Mon Sep 17 00:00:00 2001 From: viviantran27 Date: Fri, 25 Jan 2019 14:38:57 -0500 Subject: [PATCH] Added modulus of complex numbers (#23696) * Added modulus of complex numbers * Update index.md --- guide/english/mathematics/absolute-value/index.md | 8 ++++++++ 1 file changed, 8 insertions(+) diff --git a/guide/english/mathematics/absolute-value/index.md b/guide/english/mathematics/absolute-value/index.md index 99161bd4683..2f34821fd46 100644 --- a/guide/english/mathematics/absolute-value/index.md +++ b/guide/english/mathematics/absolute-value/index.md @@ -14,6 +14,14 @@ It can be defined as, The absolute value of a quantity x is denoted by |x| (the quantity is enclosed between two vertical bars). Here you can see that in the graph of y = |x|, if -2 is input in to the function, 2 is the result. This is because -2 has a distance of 2 from zero. The absolute value of a number can never be negative. +For complex numbers, this is also referred to as the *modulus*. + +``` +Pythagorean Theorem: If z=a+bi, where a=Re{z} and b=Im{z}, then |z|=sqrt(a^2+b^2) +``` + +![i](https://1.bp.blogspot.com/-a9-goSuDZpY/VdtnQqPMRXI/AAAAAAAABbA/3U519TdTKgU/s400/modulo%2Bnumero%2Bcomplejo.png) + ### Examples * **Simplify |-5|**