Formulas and Results of Complex Numbers
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If
is a positive integer, then
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If
then
, and conversely
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If
then
and
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is the additive identity.
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is the multiplicative identity.
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If
the multiplicative inverse of
is
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The additive inverse of
is
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If
, then
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If
, then
is a real number.
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If
,
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If
, the
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,
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is polar form of
, where
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If
and
, then
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. For all integers
is called De-Moivre’s Theorem.