quadratic integer ring造句
例句與造句
- The quadratic integer rings are helpful to illustrate Euclidean domains.
- The quadratic integer rings divide in two classes depending on the sign of.
- Every square-free integer ( different from 0 and 1 ) defines a "'quadratic integer ring "', which is the integral domain of the algebraic integers contained in \ mathbf { Q } ( \ sqrt { D } ).
- The converse is not true in general : for example, in the quadratic integer ring \ mathbb { Z } \ left [ \ sqrt {-5 } \ right ] the element 3 is irreducible ( if it factored nontrivially, the factors would each have to have norm 3, but there are no norm 3 elements since a ^ 2 + 5b ^ 2 = 3 has no integer solutions ), but not prime ( since 3 divides \ left ( 2 + \ sqrt {-5 } \ right ) \ left ( 2-\ sqrt {-5 } \ right ) without dividing either factor ).
- It's difficult to find quadratic integer ring in a sentence. 用quadratic integer ring造句挺難的