直接表示的

Then, it proposes a new improved association rule algorithm based on Eclat. The new algorithm is implemented by vertical data layout, breadth first search, and intersection. It makes use of the efficiency of vertical data layout and intersection.

基于此，提出一种改进的Eclat算法，新算法充分利用了垂直数据表示和交叉计数的高效优势，直接在垂直数据表示的数据集上通过广度优先搜索和交叉计数产生频繁模式。

It is seen from Fig.2 that the H concentration in the SiNx:H decreases upon annealing, however H may also effuse out towards the atmosphere.

经查验后的h分布在结构退火温度高达550 ℃，这是可见的H渗透在Si衬底上是增加相比，以作为沉积样本，因此，这是表示， H是发表对衬底上，无论是直接从A - Si ： H薄膜或从覆氮化硅：每小时它是从图2表示的H浓度在氮化硅： H的跌幅后，退火，但h也可能涌出了对大气中。

In order to reasonably depict four basic problems with friction, one Coulomb friction new form in first Kirchhoff stress is proposed to deal with finite deformation problems, other Coulomb friction form in incremental mode to elastoplastic flow theory; Hilbert function spaces concerning elastoplastical problems with friction are established, so it makes all operations and calculations in the treatise standardized within the scope of reasonably topologic structure; In view of functional extremum, the equivalence between generalized variational inequalities principles in elastoplasticity with friction and corresponding basic problems are testified by inducing Lagrangian multipliers, so it provides a rationally theoretical basis for numerical methods in elastoplasticity with friction; From the viewpoint of variational inequality, the theory of generalized variational inequalities in elasticity and elastoplasticity with frictional constraint is studied, and the uniqueness and existence of the solution of FEM is proofed under the proposed conditions of stress compatibility, and them FEM approximation and a discrete solution are discussed; Based on the principles of generalized variational inequalities in elastoplasticity with friction, direct generalized variational inequalities methods is pretended, which is a natural generalization and development of direct variational methods; Using generalized variational inequalities methods, some examples in metal forming including plane deformation, upset and extrusion are analyzed and the results prove that all the theories and methods in the paper are right, feasible, accurate and advanced.

主要内容有：为了合理地描述金属塑性成形中摩擦约束弹性、弹塑性基本问题，提出和研究了有限变形下以Kirchhoff第一应力表示的Coulomb摩擦定律形式和弹塑性流动理论下以增量形式表示的Coulomb摩擦定律表示形式；系统建立了摩擦约束弹塑性问题的Hilbert函数空间，使本文规范在一个具有合理的代数拓扑结构内进行一切操作和运算；利用Lagrange乘子，从泛函极值的角度系统地阐述和论证了一系列摩擦约束弹性、弹塑性广义变分不等原理与相应的实际问题之间的等价性，它为处理摩擦约束的弹塑性力学数值方法提供了合理的理论基础；从变分不等式的角度出发，阐述了对应于摩擦约束弹性、弹塑性问题的广义变分不等式理论，首次提出了在应力相容性条件下，它的有限元解具有存在唯一性，进而讨论了其有限元近似及离散解法；基于摩擦约束弹塑性广义变分不等式原理，首次提出了直接广义变分不等式方法，这一方法是直接变分法的合理推广和发展；利用直接广义变分不等式方法对金属压力加工中的平面变形问题、镦粗、挤压等塑性成形问题进行了分析计算，验证了该理论和数值算法的正确性、实用性、精确性和优越性。

The uniform of nonlinear incremental equation at critical points or non-critical points are deduced, and the relations between incremental solutions and nullspace basis of incremental matrix are put forward. So the incremental solutions can be obtained directly by nullspace basis, and can be expressed nullspace basis of matrix.

推导了非线性增量平衡方程在极值临界点与非临界点解的统一形式，指出增量解与增广矩阵零空间基的关系，从而可直接由零空间基获得增量解，并直接表示为增广矩阵零空间基的形式。

If T is signed and N is not directly representable, the result t is implementation-defined , which means that the C++ implementation is required to produce a value t even if it is totally unrelated to s .

如果 T 是有符号的且 N 不是可直接表示的，则结果 t 是依实现定义的，即C++实现被要求产生一个值 t 即使它与 s 完全无关。

E.g.It is the students who refer to it as the black magic course.1.regard...as...或者be regarded as...e.g.Paul seemed to regard *** as sinful and immoral.2.consider/look/view/see...as

bacause：从属连词，接表示直接原因的从句，一般放在主句的后面，也可放在主句前面，它表示的语气最强，在回答why的问句时，必须用because。

Assuming that the restoring force is the exponential function of the displacement and that the non-linearity is weak, a direct expression is adopted instead of Bouc-Wen differential model. Furthermore, a power series expression by the polynomial of the displacement is educed using Thaler's expandedness.

文中提出采用直接表示形式代替Bouc-Wen的微分模型，在弱非线性情况下，假定滞回恢复力可以表示为相对变形位移的指数形式，并进一步用泰勒展开的方法表示为简单的多项式形式。

Chapter 5 and 6 are concentrated on the fundamental problem how to con-struct finite-dimensional and infinite-dimensional Liouville integrable Hamiltonsystem.Starting from two isospectral problems,Tu's scheme is applied to gen-erate the corresponding CKdV hierarohy and coupled Burgers hievachy,andthey are shown to be Liouville integrable Hamilton systems.Two spectral prob-lems,which contain three and four potentials respectively,are also studied byTu's scheme.Two new Liouville integrable Hamilton hierarchy are estab-lished.A new general approach using Lenard's gradient sequence is presentedto obtain Lax integrable hierarchy and their zero curvature representation,andsome examples are given.The nonlinearization procedure is applied to theeigenvalue problem of coupled Burgerrs hierarchy.It is shown that underBargmann constraint,the spatial part of the Lax pairs is nonlimearized to be afinite-dimensional Liouville completeiy integrable Hamilton system.

第五、六章研究如何从一个谱问题出发构造可积发展方程族及其零曲率表示、Hamilton结构和判断Liouville可积性：通过对二类具有2个位势的等谱问题直接研究，利用屠格式生成了耦合KdV族和耦合Burgers族，并证明它们均为Liouville可积的广义Hamilton方程族；而通过分别具有3个和4个位势的等谱问题，遵循屠格式构造了二族新的Liouville可积的广义Hamilton方程族；给出了利用Lenard梯度递推序列产生发展方程族及其零曲率表示的一种方法，作为应用，讨论了CKdV族，BPT族及耦合Burgers族的产生及其零曲率表示；应用非线性化技巧，证明了在Bargmann约束下，耦合Burgers族的Lax组可被线性化为Liou-ville完全可积的Hamilton系统。

Spatial structural patterns are very important reformation inflecting regional characteristics. However, they are seldom explicitly expressed in geo-data bases.

在地理信息系统中，点、线、面等基本图形要素不仅直接表示了各种地理现象，而且隐含地表示了地理现象的空间结构，例如斑块结构、棋盘结构。

Some Americans worry about China's FDI, just as they once mistakenly did about Japan's buying sprees, but many will welcome the stability and employment that it provides.

一些美国人担心中国的直接投资，就像他们曾经也错误地担心日本的购买热一样，但是许多人对中国直接投资的稳定及其提供的就业机会表示欢迎。

In the United States, chronic alcoholism and hepatitis C are the most common ones.

在美国，慢性酒精中毒，肝炎是最常见的。

If you have any questions, you can contact me anytime.

如果有任何问题，你可以随时联系我。