Difference between revisions of "Frequency Domain Problem"

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we are left we a problem in which all time dependence is  
 
we are left we a problem in which all time dependence is  
  
<math>e^{i\omega t</math>
+
<math>e^{i\omega t}</math>
  
 
and the resultant problem is said to be in the frequency domain (as opposed to the time domian).
 
and the resultant problem is said to be in the frequency domain (as opposed to the time domian).
 
In many practical applications this is the only solution required. i.e. engineers simply want
 
In many practical applications this is the only solution required. i.e. engineers simply want
 
a table of force as a function of frequency.
 
a table of force as a function of frequency.

Revision as of 20:01, 22 April 2006

This is closely connected with the Fourier Transform in Time. Essentially after this we are left we a problem in which all time dependence is

[math]\displaystyle{ e^{i\omega t} }[/math]

and the resultant problem is said to be in the frequency domain (as opposed to the time domian). In many practical applications this is the only solution required. i.e. engineers simply want a table of force as a function of frequency.