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。
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。
Though the researchers have no direct proof that the new planet is rocky, its mass means it is not a giant gas planet like Jupiter, they said.
尽管目前研究人员还没有直接证据证明这是一颗岩状行星，但是他们宣称，这颗行星的质量表明，它并不是一颗类似木星的巨大气体行星。
To some people who probably have committed a crime, but temporarily lack an emollient direct proof to prove the case.
对某些有重大作案嫌疑，但是暂时缺乏有力的直接证据证明其作案的人，称其为无定案证据刑事嫌疑人。
In this paper, we have discussed root subspace decomposition of linear space, and for the linear space have decomposed direct sum of root subspace, a primary proof is given.
文章讨论了线性空间的根子空间分解，并对线性空间分解成根子空间的直和给出了较为初等的证明。
A simple and direct proof of decomposition theorem of complex functions has been provided, and Uniqueness of the decomposition has been proved.
给出了复变函数分解定理的简捷证明，并证明了分解的唯一性。
The direct sum decomposition of the addition of a linear transformation under the coprime polynomial was given, and it was used in the proof of some equality about the rank of idempotent matrix.
给出了两两互素多项式下线性变换的核的直和分解，并应用于幂等矩阵（对合矩阵）的秩的等式证明中。
The direct sum decomposition of the addition of a linear transformation under the coprime polynomial was given, and it was used in the proof of some equality about the rank of idempotent matrix.
给出了两两互素多项式下线性变换的核的直和分解，并应用于幂等矩阵（对合矩阵）的秩的等式证明中。
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