(Complex Modulus)
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<math>|re^{i\phi}| = r</math>
 
<math>|re^{i\phi}| = r</math>
 +
 +
(This format is used when dealing with Phasors)
 +
  
 
== Basics ==
 
== Basics ==
  
 
<math>|z|^2</math> of <math>|z|</math> is known as the '''Absolute Square'''.
 
<math>|z|^2</math> of <math>|z|</math> is known as the '''Absolute Square'''.
 +
 +
<math>\frac{|Ae^{i\phi}|}{|Be^{i\phi}|} = \frac{A}{B}\frac{e^i\phi}{e^i\phi}</math>

Revision as of 19:06, 4 September 2008

Complex Modulus

Complex Modulus, also known as the "Norm" of a complex number, is represented as $ |z| $.

$ |x + iy| = \sqrt{x^2 + y^2} $

In exponential form for $ |z| $

$ |re^{i\phi}| = r $

(This format is used when dealing with Phasors)


Basics

$ |z|^2 $ of $ |z| $ is known as the Absolute Square.

$ \frac{|Ae^{i\phi}|}{|Be^{i\phi}|} = \frac{A}{B}\frac{e^i\phi}{e^i\phi} $

Alumni Liaison

Ph.D. 2007, working on developing cool imaging technologies for digital cameras, camera phones, and video surveillance cameras.

Buyue Zhang