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Complex numbers can be used to represent waves and calculate their behavior. The simplest example of complex waves would be a simple mass, m, attached to a spring of stiffness S.
 
Complex numbers can be used to represent waves and calculate their behavior. The simplest example of complex waves would be a simple mass, m, attached to a spring of stiffness S.
  
[[ScottHamiltonspring_ECE301Fall2008mboutin.jpg]]
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[[image:ScottHamiltonspring.jpg]]
  
 
The natural frequency of oscillation for this system is computed as <math> \omega_0 ^2 = \frac{S}{m} </math>
 
The natural frequency of oscillation for this system is computed as <math> \omega_0 ^2 = \frac{S}{m} </math>

Revision as of 16:19, 4 September 2008

Complex numbers can be used to represent waves and calculate their behavior. The simplest example of complex waves would be a simple mass, m, attached to a spring of stiffness S.

File:ScottHamiltonspring.jpg

The natural frequency of oscillation for this system is computed as $ \omega_0 ^2 = \frac{S}{m} $

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Basic linear algebra uncovers and clarifies very important geometry and algebra.

Dr. Paul Garrett