cyclotomic polynomial meaning in Tamil

Tamil words for cyclotomic polynomial

சுழல் நுண்ம அடுக்குகோவை

English meaning of cyclotomic polynomial

1. noun 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 ζₙ=e^(i 2π/n) be the first primitive nᵗʰ root of unity, then Φₙ(x)=∏_( stackrel )1<m<ngcd (n,m)=1(x-ζₙᵐ) is the nᵗʰ such polynomial.

Full definition of cyclotomic polynomial

cyclotomic polynomial in a sentence

• For a prime number p, the pᵗʰ cyclotomic polynomial is #123;xᵖ-1#92;overx-1#125;#61;x#123;p-1#125;#43;x#123;p-2#125;#43;...#43;x²#43;x#43;1.
• Cyclotomic polynomials can be shown to be irreducible through the Eisenstein irreducibility criterion, after replacing x with x#43;1.

Questions about cyclotomic polynomial in Tamil

What is the meaning of cyclotomic polynomial in Tamil?

Cyclotomic polynomial in Tamil is சுழல் நுண்ம அடுக்குகோவை.

cyclotomic polynomial என்பதன் தமிழ் அர்த்தம் என்ன?

Cyclotomic polynomial: சுழல் நுண்ம அடுக்குகோவை.

What does cyclotomic polynomial mean in English?

Cyclotomic polynomial means 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 ζₙ=e^(i 2π/n) be the first primitive nᵗʰ root of unity, then Φₙ(x)=∏_( stackrel )1<m<ngcd (n,m)=1(x-ζₙᵐ) is the nᵗʰ such polynomial.