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How to pronounce “cyclotomic polynomial”
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Pronunciation guide for cyclotomic polynomial
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- Practice the English pronunciation of cyclotomic polynomial with real speech in context.
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- Definition summary
- (algebra) For a positive integer n, a polynomial whose roots are the primitive nth roots of unity, so that its degree is Euler's totient function of n. That is, letting
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A Deep Dive Into “cyclotomic polynomial”
Meaning
- [Noun]
- (algebra) For a positive integer n, a polynomial whose roots are the primitive nth roots of unity, so that its degree is Euler's totient function of n. That is, letting
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- {\displaystyle \zeta _{n}=e^{i2\pi /n}}
- be the first primitive nth root of unity, then
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- {\displaystyle \Phi _{n}(x)=\prod _{\stackrel {1\leq m<n}{\gcd(n,m)=1}}(x-\zeta _{n}^{m})}
- is the nth such polynomial.
Practice Nearby Words
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