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The adjoint operator method and the theory of normal form are used to investigated the normal forms in the four dimensional nonlinear systems with cubic nonlinearities. We give two methods to compute the normal form for the four dimensional nonlinear systems. The corresponding Maple programs are also given in the appendix. The results obtained in this dissertation have a completely agreement with the results obtained in other papers.

利用共轭算子法和规范形理论研究了含有三次非线性项的四维系统的规范形，给出了计算四维非线性规范形的两种算法，给出了相应的Maple符号推导程序，所得到的结果与其它文献所得结果完全一致。

Assume a Lie algebra g has a form B which has all the useful properties of Killingform:bilinearity nondegeneracy,symmetry and invariance.Note that for such a Liealgebra the adjoint representation is equivalent to the coadjoint representation.We callit a symmetric self-dual Lie algebra and the form B an invariant scalar product.

在第一部分的最后一节，我们引进了拟Heisenberg代数的概念，证明了这些李代数均为具有非极大秩的CN李代数，进一步我们还证明了这些CN李代数构成的集合与极大秩幂零李代数构成的集合之间存在着1-1对应关系。

One proliferation area is pass to lap over or extend a P type to take the form/wreath form area and N source pole substantially at least/leak pole area of ditch way side, with the N type of and P type adulterant.

一扩散阻滞区是通过至少实质上重叠或延伸出P型带形/环形区和N+源极/漏极区的沟道侧，以阻滞N型和P型掺杂物。

Real options in real estate is increasingly becoming a new form of corporate finance, performance for the local real estate enterprises in the development of real estate before the completion of the flats in a number of sets of real estate in the form of options, agreements for sale to the price in advance foreign investors, local real estate sales as a business start-up money into the further development process.

实物期权在房地产正日益成为一种新形式的企业融资，表现为当地的房地产企业在房地产开发完成之前的单位在若干套房地产的形式，选择，协议的价格出售给外国投资者提前，当地房地产的销售作为创业资金投入的进一步发展进程。

Bacterial forms with bacterial L-form transforms to L-forms and 1 strain of bacillus aerogen with its L-form.

结果：10例阑尾标本中均检出细菌型伴L型，其中9株为大肠杆菌伴L型，1株为产气杆菌伴L型。

A friendly interest in persons is a form of affectionateness, but not the form which is grasping and possessive and seeking always an emphatic response.

说到对人的友善态度时，罗素细述了种种现象，我特别欣赏他的两个观点：对人的友善兴趣是亲切挚爱的一种形式，而不是贪多务得的、占有欲强烈的、非得有明确回报的形式。

D. After completion of the form, you must sign and date the application form.

D。 填写表格后，你必须签署姓名并填写日期。

After analyzed the form mechanism of Industry Cluster by analyze the form condition and dynamical mechanism of Industry Cluster, this paper put forward the actuality and existed problems of Industry Cluster in Shaanxi.

在从产业集群的产生条件和动力机制两方面分析了产业集群的形成机理之后，文章详细分析了陕西产业集群的发展现状和存在问题。

In its most nonviolent form (in India, known as ahimsa or satyagraha) it could be said that it is compassion in the form of respectful disagreement.

据说在最初的含义中（ahimsa[1]以及satyagraha[2]），有怜悯的意味，包含了对不同意见的尊重。

For a general parametric curve/surface, we usually cannot compute its exact implicit form. Even though its exact implicit form can be computed, the curve/surface implicitization involves relatively complicated computation and the degree is higher. Moreover, it may have unexpected components and self-intersections. All these unsatisfied properties limit the applications of the exact implicitization. So finding curve/surface approximate implicitization has become a practical problem. In this paper, we present an algorithm to solve the approximate implicitization of a given parametric curve by using a quadratic algebraic spline curve.

由于精确隐式化过程不一定可以实现，即使可以实现隐式曲线曲面的阶数高计算复杂，并且具有不希望的自交点和奇异分支，从而限制了隐式化的运用，所以寻求参数曲线曲面的近似隐式化问题成为很实际又重要的问题，提出利用二次代数样条曲线来实现一般平面参数曲线近似隐式化的一种算法。

You can do some assertiveness training.

你可以进行一些自信训练。

We were well on the path to making a rear-wheel-drive global platform," says Mays."

我们正致力于建立一个后轮驱动的平台，"Mays这样说道。"