hyperreal fields造句

We are going to construct a hyperreal field via sequences of reals.
As an application, one obtains the hyperreal fields.
As a result, the equivalence classes of sequences that differ by some sequence declared zero will form a field, which is called a hyperreal field.
It is not an ultrapower but it " is " a hyperreal field, and hence a suitable field for the usages of nonstandard analysis.
The condition of being a hyperreal field is a stronger one than that of being a real closed field strictly containing "'R " '.
It's difficult to find hyperreal fields in a sentence. 用hyperreal fields造句挺难的