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===Euler's Equation And De Moivre's Formula===
 
===Euler's Equation And De Moivre's Formula===
  
If <math>z = z + iy<math>, then <math>e^{z}<math> is defined to be the complex number
+
If z = z + iy, then e^{z} is defined to be the complex number
  
 
<math>
 
<math>

Revision as of 22:25, 2 December 2018

Euler's Equation And De Moivre's Formula

If z = z + iy, then e^{z} is defined to be the complex number

$ \begin{align} e^{z} &= e^{x}(\cos(y) + i\sin(y)) \end{align} $

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

Jeff McNeal