完备

Among used machine learning methods, the gradient descent method is widely used to train various classifiers, such as Back-propagation neural network and linear text classifier. However, the gradient descent method is easily trapped into a local minimum and slowly converges. Thus, this study presents a gradient forecasting search method based on prediction methods to enhance the performance of the gradient descent method in order to develop a more efficient and precise machine learning method for Web mining.However, a prediction method with few sample data items and precise forecasting ability is a key issue to the gradient forecasting search method. Applying statistic-based prediction methods to implement GFSM is unsuitable because they require a large number of data items to model a prediction model. In the contrast with statistic-based prediction methods, GM(1,1) grey prediction model does not need a large number of data items to build a prediction model, and it has low computational load. However, the original GM(1,1) grey prediction model uses a mathematical hypothesis and approximation to transform a continuous differential equation into a discrete difference equation in order to model a forecasting model.

其中梯度法是一个最常被使用来实现机器学习的方法之一，然而梯度法具有学习速度慢以及容易陷入局部最佳解的缺点，因此，本研究提出一个梯度预测搜寻法则(gradient forecasting search method， GFSM)来改善传统梯度法的缺点，用来提升一些以梯度学习法则为基础的分类器在资讯探勘上的效率与正确性；而一个所需资料量少、计算复杂度低且精确的预测模型是梯度预测搜寻法能否有效进行最佳解搜寻之关键因素，传统统计为基础之预测方法的缺点是需要较大量的数据进行预测，因此计算复杂度高，灰色预测模型具有建模资料少且计算复杂度低等优点，然而灰色预测理论以连续之微分方程式为基础，并且透过一些数学上的假设与近似，将连续之微分方程式转换成离散之差分方程式来对离散型资料进行建模及预测，这样的作法不尽合理，且缺乏数学理论上的完备性，因为在转换过程中已经造成建模上的误差，且建模过程仅考虑相邻的两个资料点关系，无法正确反应数列未来的变化趋势。

The surface representation in discrete form and its differential computation are important issues in computer graphics and geometric design.

0引言一般来说，曲面的一阶微分量是指曲面的切平面方向和法向量，二阶微分量是指曲面的曲率等有关量·它们作为重要的曲面信息度量指标，在计算机图形学，机器人视觉和计算机辅助设计等领域发挥了重要的作用·传统的曲面是连续形式的参数曲面和隐式曲面，其微分量的计算已经有了较完备的方法·随着激光测距扫描等三维数据采样技术和硬件设备的长足进步，以及图形工业对任意拓扑结构光滑曲面造型的需求日益迫切，离散形式的曲面———细分曲面、网格曲面和点云曲面正在逐渐成为计算机图形学和几何设计领域的新宠·于是，对这种离散形式的曲面如何估

After the founding of the new China, as social stability and national scientific establishment improved, the diffusion entered a new phrase, with Poincare's groundbreaking works in qualitative theory of differential equations and topology being well spread and developed.

建国后，随着社会的稳定和国家科技体制的逐渐完备，庞加莱学说在中国的传播进入新的阶段，他在微分方程定性理论、拓扑学等领域的开拓性工作都得到了很好的传播和发展。

Finally, in Chapter 4, we generalize the kq representation to 2N dimension. Based on Blocking theorem, the complete set of projectors on noncommutative Orbifold T〓/G are given.

第四章，我们建立了2N维空间的kq表象，证明了分块定理并由此构造出非对易可积Orbifold T〓/G上的投影算子完备集。

Finally, in Chapter 4, we generalize the kq representation to 2N dimension. Based on Blocking theorem, the complete set of projectors on noncommutative Orb-ifold T2N/G are given.

第四章，我们建立了2N维空间的kq表象，证明了分块定理并由此构造出非对易可积Orbifold T~(2N)／G上的投影算子完备集。

Domain is a directed complete partial order set, called as dcpo.

论域是一个定向完备偏序集，即dcpo。

If taken the firms as the organization of cooperative game and taken the group rationality and discrete conditions into consideration, the distribution, based on the Shapley value of cooperative game, can meet the individual rationality and completeness conditions, and can give a more reasonable interpretation on the sources of the real firms' economic profits and the great differences between aggregate social labor incomes.

如果将企业视为合作博弈的组织，并考虑到群体理性和离散条件，按照合作博弈的夏普莱值进行分配则能够满足个体理性和完备性条件，也可以对现实中企业经济利润的来源和社会中劳动收入之间的巨大差异给予更为合理的解释。

There's no point in a disintegrate d life.

一种不完备的生活是没有意义的。

If lack of sex is going to disintegrate you, then go out and have a love-affair.

如果缺少性的满足使你不完备，那么找一个对手去。

The first factor lies in the information's dissymmetry and unavailability.

第一，信息的不完备和不对称。

With Death guitarist Schuldiner adopting vocal duties, the band made a major impact on the scene.

随着死亡的吉他手Schuldiner接受主唱的职务，乐队在现实中树立了重要的影响。

But he could still end up breakfasting on Swiss-government issue muesli because all six are accused of nicking around 45 million pounds they should have paid to FIFA.

不过他最后仍有可能沦为瑞士政府&议事餐桌&上的一道早餐，因为这所有六个人都被指控把本应支付给国际足联的大约4500万英镑骗了个精光。