totative

Given a positive integer $n$ , an integer $0<m<n$ is a totative of $n$ if $\\gcd(m,n)=1$ . Put another way, all the smaller integers than $n$ that are coprime to $n$ are totatives of $n$ .

For example, the totatives of 21 are 1, 2, 4, 5, 8, 10, 11, 13, 16, 17, 19 and 20.

The count of totatives of $n$ is Euler’s totient function $\\phi(n)$ . The set of totatives of $n$ forms a reduced residue system modulo $n$ . The word “totative” was coined by James Joseph Sylvester, who also coined “totient” (though despite occasional usage in some papers and books, the term “totative” has not caught on the way “totient” has).

单词	Totative
释义	totative Given a positive integer $n$ , an integer $0<m<n$ is a totative of $n$ if $\\gcd(m,n)=1$ . Put another way, all the smaller integers than $n$ that are coprime to $n$ are totatives of $n$ . For example, the totatives of 21 are 1, 2, 4, 5, 8, 10, 11, 13, 16, 17, 19 and 20. The count of totatives of $n$ is Euler’s totient function $\\phi(n)$ . The set of totatives of $n$ forms a reduced residue system modulo $n$ . The word “totative” was coined by James Joseph Sylvester, who also coined “totient” (though despite occasional usage in some papers and books, the term “totative” has not caught on the way “totient” has).
随便看	irreducible of a UFD is prime IrreduciblePolynomial irreducible polynomial IrreduciblePolynomialsObtainedFromBiquadraticFields irreducible polynomials obtained from biquadratic fields IrreduciblePolynomialsOverFiniteField irreducible polynomials over finite field IrreducibleRepresentationsOfTheSpecialLinearGroupOvermathbbFp irreducible representations of the special linear group over 𝔽_p IrreducibleUnitaryRepresentationsOfCompactGroupsAreFinitedimensional irreducible unitary representations of compact groups are finite-dimensional Irredundant irredundant Irreflexive irreflexive IrrotationalField irrotational field Isemigroup I-semigroup IsepiphanicInequality isepiphanic inequality IshangoBone Ishango bone Isocline isocline