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Rosen projective gradient method is used to find the approximated KKT points of relaxed problem, and then the index set is updated until the minimal solution is .

本文采用Rosen 投影梯度法求此松弛问题的近似KKT点，然后更新指标集不断迭代直至得到最优解。

Descartes himself presupposed an ideal of science, the ideal approximated by geometry and mathematical natural science.

笛卡尔自己预设的科学理念，这理念大约类似几何学和关于数学的自然科学。

Firstly, quadric surface is approximated with the vertex and its neighboring vertexes of the triangle mesh model, and the first and the second basic quantity are calculated, then estimating the normal and curvature of the mesh vertexes, lastly OpenGL technique is used in realizing the graphics display of the triangle mesh model.

首先根据三角网格模型中的顶点及其邻接点逼近二次曲面，并计算其第一、第二基本量，然后据此估算网格顶点的法失和曲率，最后利用OpenGL技术实现三角网格模型法矢和曲率的显示。

Conscious that the human organism, normally capable of sustaining an atmospheric pressure of 19 tons, when elevated to a considerable altitude in the terrestrial atmosphere suffered with arithmetical progression of intensity, according as the line of demarcation between troposphere and stratosphere was approximated from nasal hemorrhage, impeded respiration and vertigo, when proposing this problem for solution, he had conjectured as a working hypothesis which could not be proved impossible that a more adaptable and differently anatomically constructed race of beings might subsist otherwise under Martian, Mercurial, Veneral, Jovian, Saturnian, Neptunian or Uranian sufficient and equivalent conditions, though an apogean humanity of beings created in varying forms with finite differences resulting similar to the whole and to one another would probably there as here remain inalterably and inalienably attached to vanities, to vanities of vanities and to all that is vanity.

人体组织通常能够抗得住十九吨的气压，可是一旦在地球的大气层里上升到相当的高度，越是接近对流层与平流层的境界线，鼻孔出血、吸呼困难以及眩晕，随着算术级数就越发严重起来。他晓得这一点，寻求解答时就设想出这样一个难以证明是不可能的行之有效的假定：倘若换个更富于适应性，解剖学上的构造也有所不同的种族，说不定就能在火星、水星、金星、木星、土星、海王星或天王星那充足而相同的条件下生存下来。然而那个远地点的人类种族，尽管在构造方面与地球上的人类有着一定限度的不同之处，整个来说彼此却有着相似的种种形态。他们恐怕也和地球上的人类一样，会不肯舍弃那一成不变、无法分割的属性，也就是对空虚，对空虚的空虚，一切都是空虚的执着。

In this paper, a new approximated model for linear time-varying systems is deduced via general orthogonal polynomials expansion by basis transformation in projection space.

通过在投影空间中的基变换，导出了一种基于广义正交多项式展开的线性时变系统的新的近似模型。

The spatial distribution of intra-node flux and source were approximated by a new orthogonal quadratic polynomial expansion, and a second-order polynomial provided the spatial expansion of transverse-leakage. The neutron angular distribution of flux and transverse-leakage were represented by the S quadrature set.

节块内横向积分通量、中子源的空间分布使用新的正交二次多项式近似；横向泄漏项的空间分布使用二阶多项式近似；中子通量和横向泄漏的角度通过离散纵坐标S

Results The results of catalytic photometry approximated to those of the atomic absorption method.

结果 本法与原子吸收法所测定结果基本一致。

Finite element methods are analyzed, where the stress is approximated by the discontinuous Raviart-Thomas element of lowestorder,and the velocity by the piecewise constant element,and the Lagranian multiplier by the trace space of the piecewise continuous linear element.

然后发展其有限元方法：对应四变量分别用间断型Raviart-Thomas最低阶元，分片常数元，连续线性元和连续线性元的迹空间，我们获得了稳定性和最优误差界，通过后处理办法，我们得到一个适合于计算的速度-压力格式，该格式可视为"mini"元方法的一个变形（本文格式中引用了局部投影算子）。

Meanwhile, this paper systematically summarized the present fractional-order control theory results distributed mostly in such aspects as continuous and discrete time domain analysis, approximated numerical analysis, common frequency domain analysis, plane locus method based on variable transposition, etc, and became an effective foundation of forming a complete control and system theory for fractional-order control systems.

同时，论文对当前国内外已有的分数阶控制理论成果进行了较为系统的整理，主要集中在连续和离散时间域分析、近似数值分析、一般复频域分析、基于变量变换的平面根轨迹分析等方面，具有综述性质，是建立一套完整的分数系统控制理论与系统理论的有效基石。

The recently developed particle filtering technology provides a general framework for nonlinear problem, and posterior state distribution is approximated by weighted particles which are generated through Monte Carlo simulation.

近年来迅速发展起来的粒子滤波技术为求解非线性问题提供了通用的框架，它通过Monte Carlo仿真产生的带权粒子来对状态分布进行逼近。

The system can be widely used in belt weighing and batching process control,etc.

介绍了基于智能模糊控制的嵌入式配料系统的设计方法，对模糊PID控制过程和系统调零作了重点的讨论，同时给出了PID控制的程序流程图和系统定长调零子程序。

"I dunno," she answered,"but if you show me aroun', I'll recognize it from the lighthouse just outside the porthole."

"我不知道，"她回答说，"如果你能带我转转，我能认出来的，因为灯塔就在舷窗外。"