证明性的

Stability and convergence of the model are proven by means of the weak convergence theorem of generalized function and the convolved integration theory.

由广义函数弱收敛定理和卷积理论，证明所提出的非局部连续模型具备收敛性和稳定性。

In the end the convergence of the algorithm is proved.

最后证明了算法的收敛性。

At last, we give the convergence proof of this algorithm.

最后证明了算法的收敛性。

In particular, the global convergence theories of the algorithm are given.

在一定条件下证明了算法的全局收敛性。

The main results areas follows: On the invariants of λ-multiplier convergent series, first, it proves that ifλ- has the signed weak gliding hump property, the λ-multiplier convergentseries has the dual invariant.

获得了如下研究成果：在〓数乘收敛级数的不变性方面，首先证明了若〓具有弱滑脊性，那么〓数乘收敛级数具有对偶不变性。

In this paper, we use the convex function to form the order statistic and the linear rank statistic, and the asymptotic normality of the statistics are proved.

本文用凸函数构造了线性次序统计量和线性秩统计量，并证明了它们的渐近正态性。

For strictly convex problems, it is proved that the decomposed two-level problem is equivalent to the original one.

对于严格凸问题，证明了分解问题与原问题的等价性。

And to prove several complete theorems in the two-dimensional space with the complete covering theorem.

利用完全覆盖定理证明二维空间的几个完备性定理。

To formalize this algorithm,crosscutting contract calculus and a set of contract elaboration rules are presented.

为了形式化这个算法，提出Crosscutting Contract演算和一组契约求解规则，并通过定义和证明契约完备性来保证契约求解过程的正确性。

Under the optimized conditions, in-situ-generated N,N -dioxide from the corresponding amide (10 mol%) and m-CPBA (20 mol%) retained the same asymmetric catalytic activity and enantioselectivity, and most of the aromatic,α,β-unsaturated, heterocyclic, aliphatic and steric hindrance ketones could be converted into the corresponding cyanohydrin trimethylsilyl ethers in up to 99% yield and 93% ee.

底物扩展证明，该有机小分子催化体系对芳香酮、杂芳香酮、脂肪酮、位阻酮以及α，β-不饱和酮都具有优良的手性诱导能力，收率高达99％，对映选择性达93％ee。

For a big chunk of credit-card losses; the number of filings (and thus charge-off rates) would be rising again, whether

年美国个人破产法的一个改动使得破产登记急速下降，而后引起了信用卡大规模的亏损。

Eph. 4:23 And that you be renewed in the spirit of your mind

弗四23 而在你们心思的灵里得以更新