Euler formula

  • Thread starter mnada
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  • #1
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Main Question or Discussion Point

For Euler formula :
e(iπ) + 1 =0
is it the same if we say e(-iπ)+1 = 0 or not ? (minus sign is included in the exponent)
 

Answers and Replies

  • #2
RUber
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For Euler formula :
e(iπ) + 1 =0
is it the same if we say e(-iπ)+1 = 0 or not ? (minus sign is included in the exponent)
It isn't the same, but true nonetheless.
 
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  • #3
mathman
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It's a special case using [itex]e^{2n\pi i}=1[/itex] for all integers n.
 
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  • #4
Ssnow
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Another way as the special case of ## e^{i\pi +k2\pi i}=-1## for ##k=0##, in general it is true for ##k\in\mathbb{Z}##.
 
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