Line 3: Line 3:
 
<math>e^{-2jt} \rightarrow system \rightarrow te^{2jt}\!</math><br>
 
<math>e^{-2jt} \rightarrow system \rightarrow te^{2jt}\!</math><br>
 
<br>
 
<br>
and using euler formula, we can replace exponent expressions in a way:
+
and using euler formula, we can replace exponent expressions with
  
 
Euler's formula: <math>e^{iy}=cos(y)+isin(y)\,</math><br>
 
Euler's formula: <math>e^{iy}=cos(y)+isin(y)\,</math><br>
 +
<br>
 +
<br>
 +
They will change into:

Revision as of 09:27, 16 September 2008

Since $ e^{2jt} \rightarrow system \rightarrow te^{-2jt}\! $
$ e^{-2jt} \rightarrow system \rightarrow te^{2jt}\! $

and using euler formula, we can replace exponent expressions with

Euler's formula: $ e^{iy}=cos(y)+isin(y)\, $


They will change into:

Alumni Liaison

Prof. Math. Ohio State and Associate Dean
Outstanding Alumnus Purdue Math 2008

Jeff McNeal