Added modulus of complex numbers (#23696)
* Added modulus of complex numbers * Update index.md
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Paul Gamble
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@ -14,6 +14,14 @@ It can be defined as,
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The absolute value of a quantity x is denoted by |x| (the quantity is enclosed between two vertical bars).
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The absolute value of a quantity x is denoted by |x| (the quantity is enclosed between two vertical bars).
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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.
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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.
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For complex numbers, this is also referred to as the *modulus*.
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```
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Pythagorean Theorem: If z=a+bi, where a=Re{z} and b=Im{z}, then |z|=sqrt(a^2+b^2)
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```
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### Examples
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### Examples
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* **Simplify |-5|**
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* **Simplify |-5|**
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