Difference between revisions of "Dictionary:Demoivre’s theorem"

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(de mauv’) The relationship,  
 
(de mauv’) The relationship,  
  
<center>''e''<sup>''ir''&#x03B8;</sup>=(cos&#x03B8;+''i''sin&#x03B8;)<sup>''r''</sup>=cos''r''&#x03B8;+''i''sin''r''&#x03B8;,</center>
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<center><math>e^{ir\theta}=(cos\theta + i sin\theta)^r=cos r\theta + i sin r\theta </math>,</center>
  
 
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where <math>i=\sqrt{-1} </math>. Named for Abraham Demoivre (1667-1754), English mathematician. Also spelled De Moivre.
 
 
where ''i''=&#x221A;((&#x2013;1)). Named for Abraham Demoivre (1667&#x2013;1754), English mathematician. Also spelled De Moivre.
 
 
 
[[Category:Pages with unformatted equations]]
 

Revision as of 00:52, 24 February 2015

(de mauv’) The relationship,

,

where . Named for Abraham Demoivre (1667-1754), English mathematician. Also spelled De Moivre.