非

Then we study that quadratic Lie colour algebra also can be decomposed to direct sum of ideas who contains no nontrivial non-degenerate idea of L . And the decomposition is unique except the order of the ideas .

然后给出了二次李color代数也可以分解为不包含非平凡的非退化的color理想的直和，而且分解除理想次序外是唯一的。

The main results, obtained in this dissertation, may be summarized as follows:1. In chapter 2, the differential property of the optimal value function with a non-compact set is studied. The expression of its lower-Hadamard directional derivative is obtained.

第2章研究了非紧致集上最优值函数的微分性质，首先给出了最优值函数的Hadamard下方向导数的表达式，其次在最优值函数的有效域为非空凸集的情况下刻画出了次微分的表达式。

At last, in Section 3, we calculate the Pohozaev identity for p-harmonic equation under Navier or Dirichlet boundary condition from which we obtain the corresponding nonexistence of nontrivial solutions for p-harmonic equations with critical growth.

最后在第三节中，我们分别对带Navier边值条件和Dirichlet边值条件的p-调和方程的Pohozaev恒等式作了演算，并利用这些恒等式得到了相应的p-调和方程临界增长问题的非平凡解的非存在性结果。

In part two, this thesis is dealt with properties of solutions to a degenerate parabolic system coupled via non-local sources, subject to homogeneous Dirichlet conditions and nonnegative initial data.

第二部分，讨论了一类具有齐次Dirichlet边界条件和非负初值的非局部源耦合的退化抛物系统的第一初边值问题。

First, we introduce the concept of polarizable Carnot group and give some new properties of its homogeneous norm. Then we construct a class of non-divergence equations as well as their nontrivial solutions. The failure of corresponding A-B-P type estimate and uniqueness to the Dirichlet problems in space~ follow.

首先引入可极化Carnot群的概念，给出了可极化Carnot群上齐次模的若干性质，然后构造了一类非散度型次椭圆方程及其非平凡解，由此证明此类方程Dirichlet问题的解在函数空间L~中不唯一，进而证明相应的Alexandrov-Bakelman-Pucci型估计不成立。

But there are certain other sayings of the Holy Prophet, which show that although the good done by a disbeliever cannot save him from the fire of Hell, yet in Hell he will not be subjected to the severe punishment which will be the lot of the wicked, sinful and villainous disbelievers, e.g.

但使者也说过，非信士所作的善行虽然不能把他救出火狱，然而他在火狱中的将不会面临穷凶极恶的非信士所遭受的严厉惩罚，如根据圣训，考虑到Hatim Ta'I的慷慨，将在火狱中面临一个较轻的惩罚(Ruh al-Ma 'ani)。

Life development is the integration of continuity and discontinuity .

生命的发展是连续性和非连续性的统一，但以往教育学对人的发展的研究，注重的是发展的连续性，忽视了发展的非连续性。

By the discriminatory analysis, 8 variables such as psychiatric history, the diagnosies of identification, the BPRS factor 3 and 4, the Responsibility Scale factors 3, 4, and 5 were selected into the discriminatory equations. Conclusion: The responsibility of the mental disorders correlated with the sort and the severity of the disorders.

精神分裂症案例与非精神分裂症案例一般资料比较，凶杀、伤害案例的精神分裂症组显著高于非精神分裂症组，差异有统计学意义(P.01)；③通过逐步判别分析，既往精神病史、鉴定诊断、思维障碍、激活性、及精神病人刑事责任能力量表中反映作案时情况的因子2、作案后对后果认识的因子3、作案后对自我保护能力因子4、疾病严重程度因子5等8个变量最终人选判别方程。

A kind of right,non -disenchant,mo re dignified and free cult ure will be a kind non -alien,humanistic,free,pluralistic,anti -essentia l ist,non -determinism,and multi -cultural mixture.

一种健全的、非祛魅的、更多尊严和更多自主性的文化将是非异化的、人道的、自由的、多元的、反本质主义的、非决定论的多种文化形式的混合体。

The relation between two fuzzy sets has mutual disjoint, mutual nonLuniformly inclusive, mutual interceptive but not non-uniformly inclusive, and independent, as the same as in probability theory.

模糊集合之间关系与概率论的事件之间关系一样，不仅有不相交，非一致包含，相交而不非一致包含，而且还有相互独立，等等。

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