例句與造句

1. The fact remains that Earth is a finite place.
2. This is the normalisation used for the finite places.
3. For quadratic forms over a number field, there is a Hasse invariant ? for every finite place.
4. In the following, we prove the statement for the finite places, because at the infinite places the statement is obvious.
5. Let v be a finite place of K and let | \ cdot | _ v be a representative of the equivalence class v . Define
6. It's difficult to find finite place in a sentence. 用finite place造句挺難的
7. This presupposes a method by which an infinite string of 1s is considered a number, which requires an extension of the finite place-value concepts in elementary arithmetic.
8. If is a valuation corresponding to an absolute value, then one frequently writes v \ mid \ infty to mean that is an infinite place and v \ nmid \ infty to mean that it is a finite place.
9. In this context, the Hilbert class field of " K " is not just unramified at the finite places ( the classical ideal theoretic interpretation ) but also at the infinite places of " K ".
10. Let S be a finite set of places, which includes the infinite places of K and those finite places corresponding to the prime ideals \ mathfrak { p } _ 1, \ dotsc, \ mathfrak { p } _ n.
11. The map v \ mapsto \ mathfrak { p } _ v is a bijection between the set of the finite places of K and the set of all prime ideals \ mathfrak { p } \ neq 0 of \ mathcal { O }.
12. In the following, we will use the fact, that for an algebraic number field K, there is a one-to-one correspondence between the finite places of K and the prime ideals of \ mathcal { O }, which are different from 0:
13. I came away from the trip with two frightening conclusions : The world is so small and there are so many people, factories, cities and new suburbs in such a finite place; and the world is so large, especially when you're on the other side, and it suddenly hits you that it would take at least two days to get home.
14. As a consequence, \ mathbb { A } _ { A } is an algebra with 1 over \ mathbb { A } _ K . Let \ alpha be a finite subset of A, containing a basis of A over K . We define \ alpha _ v as the \ mathcal { O } _ v-modul generated by \ alpha in A _ v, where v is a finite place of K . For each finite subset P of the set of all places, containing P _ { \ infty }, we define
15. Let \ alpha be a finite subset of A, containing a basis of A over K . For each finite place v of K, we call \ alpha _ v the \ mathcal { O } _ v-modul generated by \ alpha in A _ v . As before, there exists a finite subset P _ 0 of the set of all places, containing P _ { \ infty }, so that it stands for all v \ notin P _ 0, that \ alpha _ v is a compact subring of A _ v . Furthermore, \ alpha _ v contains the group of units of A _ v . In addition to that, it stands, that A _ v ^ { \ times } is an open subset of A _ v for each v and that the map x \ mapsto x ^ {-1 } is continuous on A _ v ^ { \ times }.