Sentences with CYCLOTOMIC
Check out our example sentences below to help you understand the context.Sentences
1
"The cyclotomic polynomial equation was solved by the mathematician."
2
"We studied the cyclotomic field in our number theory class."
3
"The cyclotomic extension of a field is a Galois extension."
4
"The cyclotomic order of an element determines its powers in a field."
5
"The cyclotomic character is an important concept in representation theory."
6
"The cyclotomic closure of a field contains all the roots of unity."
7
"The cyclotomic identity links the roots of unity to exponential functions."
1
"The study of cyclotomic fields is a branch of number theory."
2
"A cyclotomic extension is a field extension generated by a root of unity."
3
"Cyclotomic cosets play a crucial role in the theory of cyclotomic fields."
4
"Cyclotomic units are certain algebraic numbers associated with cyclotomic fields."
5
"The cyclotomic order of an integer modulo n is the smallest positive integer k such that a^k mod n = 1."
6
"The cyclotomic polynomial Φ_n(x) is the minimal polynomial of a primitive nth root of unity."
7
"A cyclotomic equation is an equation involving cyclotomic polynomials."
8
"The cyclotomic order of a root of unity determines its position in the cyclic group of nth roots of unity."
9
"A cyclotomic coset is a particular set of integers modulo n that appear in the factorization of cyclotomic polynomials."
10
"The cyclotomic number field is the field extension generated by all the nth roots of unity."
11
"The Galois group of a cyclotomic field is isomorphic to the group of integers modulo n under addition."
12
"Cyclotomic units play a fundamental role in the class field theory of cyclotomic fields."
