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

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{{DISPLAYTITLE:Dictionary:Demoivre’s theorem}}{{#category_index:D|Demoivre’s theorem}}
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(de mauv&#x2019;) The relationship,  
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{{#category_index:D|Demoivre&#x2019;s theorem}}
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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.
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Latest revision as of 10:54, 10 March 2020

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The relationship,

,

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