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root of unity
noun
Mathematics.
- a complex number that when raised to some positive integral power results in 1.
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Example Sentences
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So what is a root of unity anyway?
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The number itself is a root of unity: i2=-1, so i4=1, making a 4th root of unity.
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So a root of unity is any number which, when multiplied by itself some number of times, yields 1.
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To make this more concrete, I happen to know that ei2Ï€/7 is a root of unity.
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We can get an nth root of unity for any number by replacing the 7 in ei 2Ï€/7 by n.
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