in the paper, we present a direct proof of raney s intrinsic characterization of completely distributive lattices and give some applications of the intrinsic characterization.
本文对完全分配格的内蕴式刻划给出了一个简洁的直接证明,并给出了内蕴式刻划的若干应用。
introducing prices of securities, this paper classifies general securities sets by portfolio frontier and then a direct proof for a determinant theorem about efficient subset is obained.
本文通过引入证券价格,讨论一般证券集组合前沿的分类,并据此直接证明判定某个证券子集是全集的有效子集的一个充要条件。
in this paper, we first give a direct proof about cauchy's integral theorem. this method of proof is different from traditional proof of bisection method.
本文首先给出一个不同于传统的二分法的柯西积分定理的直接证法;
however, in this case we can simplify things quite a bit and just show a direct proof by leveraging our first proof.
不过,在本例中,我们可以进行相当程度的简化,只是通过补充我们的第一个证明来给出一个直接证明。