查询词典 interpolation of operators

The simulation is based on four methods, including the discrete ordinates method with donor-cell interpolation, the DOM with van Leer interpolation, the modified DOM with donor-cell interpolation and the modified DOM with van Leer interpolation. The computational results are compared with those obtained by the Monte Carlo method.

本模拟采用四种方法，包括以donor-cell内差的离散方向法，以van Leer内差的离散方向法，以donor-cell内差的修正的离散方向法，以van Leer内差的修正的离散方向法，其计算结果将与蒙地卡罗法所得到的结果作比较。

As to how to avoid weaknesses of these two operators, scholars have made unremitting efforts. One of the most famous is the French mathematician Sablonniere P, who introduced and studied a kind of new quasi-Bernstein interpolation operators in 1992. This kind of operators have given dual attention to the Lagrange operator and the Bernstein operator merit, and have avoided the twos deficiency.

对于这两种算子如何扬长避短，学者们做了不懈努力，其中最为著名的是法国数学家Sablonniere P，他于1992年引入并研究了一种新的拟Bernstein插值算子B上标(k 下标 n，，这是一类介于Lagrange算子与Bernstein算子之间的拟插值算子，这类算子兼顾了Lagrange算子与Bernstein算子的优点，克服了二者的不足。

The main results are as follows: the relations between local fractional integrated semigroups and the corresponding Cauchy problem, global fractional integrated semigroups and regularized semigroups are given; introduction of the notion of regularized resolvent families, and the generation theorem and analyticity criterions for regularized resolvent families are obtained; the spectral inclusions between fractional resolvent family and its generator, and the approximation for fractional resolvent families in the cases of generators approximation and fractional orders approximation; elliptic operators with variable coefficients generating fractional resolvent family on L^2 by using numerical range techniques; and the L^p theory for elliptic operators with real coefficients highest order are obtained by Sobolev''s inequalities and the a priori estimates for elliptic operators; and a kind of coercive differential operators generates fractional regularized resolvent family by applying the Fourier multiplier method, functional calculus and some basic properties of Mittag-Leffler functions.

主要结论是：给出了局部分数次积分半群和相应的Cauchy问题的关系以及分数次积分半群和正则半群的关系；引入了正则预解族的概念，并给出了其生成定理和解析生成法则；给出了分数次预解族与其生成元的谱包含关系，并研究了在生成元逼近和分数阶逼近两种情况下相应的预解族的逼近问题；利用数值域方法证明了具变系数的椭圆算子在L^2上生成分数次预解族；利用Sobolev不等式和椭圆算子的先验估计证明了具变系数的椭圆算子在其最高项系数为实数时在L^p上生成分数次预解族；运用Fourier乘子理论、泛函演算和Mittag-Leffler函数证明了一类强制微分算子可以生成分数次正则预解族，并给出了该预解族的范数估计。

The core designs of genetic algorithm are design of parameter coding, initial group, adaptitude function, controlling parameter and genetic operators. On other words, they are designs of choose operators, exchange operators and aberrance operators.

遗传算法的核心是参数编码、初始群体的设定、适应度函数的设计、控制参数设定、遗传算子的设计即选择算子、交换算子和变异算子的设计。

The bung uses the stainless steel plate to make the ledger wall, the built-in aluminum silicate heat preservation, the fire door size extends 350mm, high 580mm, in spandrel wall body whole upward promotion type electrically operated heat preservation fire door, when fire doorclosure the entire fire door is a circular whole, the fire door sealing property strengthens, the turntable uses the stainless steel to make the 1600m/m turntable, with take load bearing work piece, the entire turntable does not divide the location as the plane, the operators may pile up the workpiecewillfully, because turntable every 40 minutes turn on lathe biography one week, when work the operators did not look nearly the turntable in the rotation, the fire door starts in addition in a big way, the operators may pass in and out the work piece willfully, but is not limited the time the turntableto be possible in 20-60The minute revolves one week-long time to modulate velocity willfully, no matter the fire door opens shuts, the turntable from the start work on uninterrupted revolving, not any necessity and the fire door open shut carry on the interconnection, needs to stop when revolves, onlyneed press down on the control electricity tank's pause button then, the fire door opens shuts, grasps voluntarily by the operators, presses installs nearby the fire door opens shuts button then. Transfers the bottom type resistance furnace's temperature control part to use the microcomputer automatic

炉盖采用不锈钢板做底板，内置硅酸铝保温，炉门尺寸宽350mm，高580mm，侧墙体中整体向上提升式电动保温炉门，炉门关闭时整个炉门为一个圆形整体，炉门密封性能增强，转盘采用不绣钢制成1600m/m转盘，用以承载工件之用，整个转盘为平面不分工位，操作人员可以任意堆放工件，由于转盘每40分钟旋传一周，工作时操作人员几乎看不到转盘在转动，加上炉门开的较大，操作人员可以任意进出工件，而不受时间限转盘可以在20—60分钟旋转一周的时间任意调速，不论炉门启闭、转盘从启动工作就不间断的旋转，没有任何必要与炉门启闭进行联锁，需要停止旋转时，只需按下控制电柜上的停止按钮即可，炉门的启闭，由操作人员自行掌握，按动安装在炉门边的启闭钮即可。

The bung uses the stainless steel plate to make the ledger wall, the built-in aluminum silicate heat preservation, the fire door size extends 350mm, high 580mm, in spandrel wall body whole upward promotion type electrically operated heat preservation fire door, when fire door closure the entire fire door is a circular whole, the fire door sealing property strengthens, the turntable uses the stainless steel to make the 1600m/m turntable, with take load bearing work piece, the entire turntable does not divide the location as the plane, the operators may pile up the work piece willfully, because turntable every 40 minutes turn on lathe biography one week, when work the operators did not look nearly the turntable in the rotation, the fire door starts in addition in a big way, the operators may pass in and out the work piece willfully, but is not limited the time the turntable to be possible in 20-60The minute revolves one week-long time to modulate velocity willfully, no matter the fire door opens shuts, the turntable from the start work on uninterrupted revolving, not any necessity and the fire door open shut carry on the interconnection, needs to stop when revolves, only need press down on the control electricity cabinet's pause button then, the fire door opens shuts, grasps voluntarily by the operators, presses installs nearby the fire door opens shuts Niu then.

炉盖采用不锈钢板做底板，内置硅酸铝保温，炉门尺寸宽350mm，高580mm，侧墙体中整体向上提升式电动保温炉门，炉门关闭时整个炉门为一个圆形整体，炉门密封性能增强，转盘采用不绣钢制成1600m/m转盘，用以承载工件之用，整个转盘为平面不分工位，操作人员可以任意堆放工件，由于转盘每40分钟旋传一周，工作时操作人员几乎看不到转盘在转动，加上炉门开的较大，操作人员可以任意进出工件，而不受时间限转盘可以在20—60分钟旋转一周的时间任意调速，不论炉门启闭、转盘从启动工作就不间断的旋转，没有任何必要与炉门启闭进行联锁，需要停止旋转时，只需按下控制电柜上的停止按钮即可，炉门的启闭，由操作人员自行掌握，按动安装在炉门边的启闭钮即可。

Lagrange Interpolation; Osculatory Interpolation; Dimension Of Interpolation; Algebraic Curve And Surface; Bezout's theorem

Lagrange插值；切触插值；插值空间维数；代数曲线曲面； Bezout定理

After analysing the existing smooth orientation interpolation methods we proposed a smooth orientaion interpolation method based on cubic cardinal spline in quaternion space. This method possesses the following advantages: interpolation, C〓 continuity, accurate evaluation of the quaternion value at arbitrary parameter, transparent to the users, adjustable parameters for controlling the velocity of orientation change.

在分析现有的朝向光滑插值方法基础上，提出了基于四元数空间三次C样条的朝向光滑插值方法，该方法具有插值、C〓连续、任一参数处的四元数值可精确求得、对用户透明、可以用参数调节关键帧处物体朝向变化的速度等优点。

In the third chapter, we obtain the average errors(asymptotic order or weakly asymptotic order) of the Lagrange interpolation sequence, the Hermite-Fejer interpolation sequence and the Hermite interpolation sequence based on the Chebyshev nodes on the 1-fold integrated Wiener space.

第三章分别给出了基于第一类Chebyshev多项式零点的Lagrange插值算子列、Hermite-Fejer插值算子列和Hermite插值算子列在1-重积分Wiener空间下的平均误差的值。

Based on Bezier curve continuance of first－order and second－order derivative, the characteristic vector equation of two Bezier curve is presented in point of intersection. The algorithm is not only of high accuracy with all of the interpolated points being on the curve theoretically, but also of very high speed in the real－time interpolation processes. The interpolation velocity does not change and the segment tolerance of interpolation can be control by selecting the parameter in cerement rationally every time.

为保证两段Bezier曲线在连接点处一阶导数、二阶导数连续，导出了两段Bezier曲线特征向量应满足的关系方程，Bezier插补法不仅在理论上可使所有的插补点落在曲线上，而且实时插曲补速度高，每次插补时可合理地选择参数增量，能使插补速度保证不变，也可控制弓高误差。

Continuously improve the production mechanism, to provide customers with better quality products and services.

不断的完善生产机制，给客户提供更优质的产品及服务。

B:Yes, he was the very prize-winner in the court tennis ten years ago?

是的，他是十年前的世界网球冠军。