例句與造句

1. Assume instead that every-double coset is a finite union of right-cosets and every-double coset is a finite union of left-cosets.
2. Assume instead that every-double coset is a finite union of right-cosets and every-double coset is a finite union of left-cosets.
3. The Lasker Noether theorem plays an important role in algebraic geometry, by asserting that every algebraic set may be uniquely decomposed into a finite union of irreducible components.
4. If " X " has only finitely many connected components, then each component is the complement of a finite union of closed sets and therefore open.
5. On the other hand there is a theorem, to the effect that a subanalytic set " A " can be written as a locally finite union of submanifolds.
6. It's difficult to find finite union in a sentence. 用finite union造句挺難的
7. So, if there were only finitely many prime numbers, then the set on the right-hand side would be a finite union of closed sets, and hence closed.
8. A family ? of closed subsets of " X " is a " family of supports ", if it is down-closed and closed under finite union.
9. That means it lies in an algebraic set that is a finite union of algebraic varieties of dimension lower than " d ", the dimension of " V ".
10. One can show that this definition of the Jordan measure of " S " is independent of the representation of " S " as a finite union of disjoint rectangles.
11. In mathematics a "'finite union "'means any union carried out on a finite number of sets : it doesn't imply that the union set is a finite set.
12. Since dimension can only'jump down'a finite number of times, and algebraic sets are made up of finite unions of irreducible sets, descending chains of Zariski closed sets must eventually be constant.
13. Subanalytic sets are not closed under projections, however, because a real-analytic subvariety that is not relatively compact can have a projection which is not a locally finite union of submanifolds, and hence is not subanalytic.
14. :In fact, one does not even need the system to be fully independent, it suffices that no element of " S " is covered by a finite union of other elements of " S ".
15. This also generalizes the primary decomposition form of the structure theorem for finitely generated modules over a principal ideal domain, and for the special case of polynomial rings over a field, it generalizes the decomposition of an algebraic set into a finite union of ( irreducible ) varieties.
16. Hochster ); for example, if the ring " R " contains an infinite field or a finite field of sufficiently large cardinality, then the statement follows from a fact in linear algebra that a vector space over an infinite field or a finite field of large cardinality is not a finite union of its proper vector subspaces.
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