近似计算

The existence and Lipschitz continuity of the J-proximal mapping are proved. By using the properties of J-proximal mapping, a class of generalized mixed variational inequalities is studied in Banach spaces. The existence and uniqueness of solutions are established.

证明了J-近似映射的存在性和Lipschitz连续性，运用J-近似映射的这些性质，研究了Banach空间中的一类广义变分不等式，提出了计算广义混合变分不等式的解的一个新的迭代算法，并进行了分析。

For the application of Mathematica in the differential geometry,this paper introduces how to processe the curve curvature and the torsion questions,the graphic expression of the curvature and the torsions,and draw curves by the curvature and the torsions. Curvature ; torsion ; solution curve ; osculating plane ; natural parameter ; natural equation

利用Mathematica，只要输入有关系统命令就可以得到期望的结果。1曲率和挠率及其图形意义假设R3上的曲线一般参数表示为r=r它的曲率和挠率计算公式是：κ=‖r′×r"‖‖r′‖3τ=‖r′×r‖我们知道，空间曲线r=r在一点(s=s0)邻近的近似方程为ξ=sη=120κs2ζ=160κ0τs3通过近似方程可以确定曲线在其基本三棱形的三个平面(即密切平面，法平面，从切平面)上的投

The NIEL induced by low energy proton in Si and GaAs have been calculated using analytical method and Monte-Carlo code. Thin_target approximation was used when calculating NIEL by SRIM code and the result compared with that of other authors'. The results show that thin_target approximation is reasonable and NIEL scaling is feasible. The NIEL values become lower after taking into account the screening effect.

为此，本文采用解析法和基于Monte-Carlo方法的SRIM程序计算了考虑库仑屏蔽效应后低能质子在半导体材料Si，GaAs中的NIEL，SRIM程序在计算过程中采用薄靶近似法，并与其他作者的计算数据和实验数据进行了比较。

The normal and curvature are significant geometry information for 3D point clouds.

差分坐标以其相关之拉普拉斯运算子在三维数位几何模型上已有许多的研究及应用，顶点的差分坐标计算是由顶点与拓扑上之相邻点的相对位置关系所求得，因此顶点之差分坐标代表了区域曲面起伏变化情况，差分坐标其方向会近似於区域法线方向而其长度会近似予区域平均曲率，此两项资讯为点云资料重要几何资讯。

Because of the cost of computation,the order of the approximation surface usually is below four.

在对采样点构建插值曲面时，响应面法（Response Surface Method，RSM）通常是对整个曲面进行插值近似，由于计算量的原因，采用的近似曲面阶数通常不超过四阶。

Based on the above results, the problems of the electromagnetic interaction between a perfect conducting plate and 1-D/2-D conducting slightly random rough surface and the problems of the electromagnetic interaction between a dielectric spherical particle and dielectric slightly random rough surface are investigated. By using the reciprocity theorem, Small Perturbation Method and Physical Optics approximation, the solution for the composite scattering field from the composite target is derived and evaluated, and the numerical results are discussed and analyzed.

在此基础上，用互易性原理分别研究了一维、二维导体微粗糙面与其上方金属导体平板目标的复合电磁散射及介质粗糙面与其上方球形粒子的复合电磁散射，结合互易性原理和粗糙面散射微扰法及物理光学近似导出了复合散射场的计算公式并进行了数值计算，对计算结果进行了讨论和分析。

By means of a resonable and approximate treatment the dependent variables of the integral equation are reduced to depend only on the two coordinates of the wing plane.

通过合理的近似处理，使积分方程的自变量仅依赖于机翼所在平面的两个座标，这就使我们在利用有限无法进行数值解时，只需在机翼平面上划分元素，避免了在流场空间中划分元素的传统作法，从而大大降低了对计算容量的要求和计算工作量，使跨音速三维机翼的气动力计算有可能在较小的计算机(例如709机)上完成。

In part 1 of this work, the analysis of results computed by the reproducing kernel particle method reveals that the support size of kernel function is a sensitive parameter in computing a violent displacement field.

为了弱化紧支域尺寸的选取对计算结果的影响，以节点约束的形式构造一种形函数对位移场进行近似。一维位移场的计算实例表明方法能有效的弱化覆盖尺寸对计算结果的影响。

As an approximate method,with the trigonometric function,the simple pendulum dynamical equation is simplified,and the approximate formula for the period of simple pendulum movement is presented.Comparison is made between approximate formula and exac...

对近似公式和精确公式进行了对比，最后进行了数值计算，结果表明，所得到的单摆运动周期的近似公式在大多数情况下都与精确公式符合的很好。

The polynomial function bases are used to form the approximately matching function. Moreover, the discrete values of grey image is transformed to polinomial function that are exact fit at the considered pixel locations. As a result, The mathematical operations performed such as derivation, integration, and gradient evaluation also give out the polynomial functions, therefore, the system of undetermined coefficient equations is derived to be a system of linear algebraic equations.

我们把立体匹配过程看作泛函的极小化过程，因此选用变分问题近似解法的Ritz法构造数值算法，以多项式函数为基构作匹配函数的近似解，进而又利用多项式过样值点的拟合将离散的灰度图象变换为多项式函数，因此计算中所需的求导，积分，及梯度运算的结果仍然是多项式函数，最终将待定系数方程组化为线性代数方程组。

However, as the name（read－only memory）implies, CD disks cannot be written onorchanged in any way.

然而，正如其名字所指出的那样，CD盘不能写，也不能用任何方式改变其内容。

Galvanizes steel pallet is mainly export which suits standard packing of European Union, the North America. galvanizes steel pallet is suitable to heavy rack. Pallet surface can design plate type, corrugated and the gap form, satisfies the different requirements.

镀锌钢托盘多用于出口，替代木托盘，免薰蒸，符合欧盟、北美各国对出口货物包装材料的法令要求；喷涂钢托盘适用于重载上货架之用，托盘表面根据需要制作成平板状、波纹状及间隔形式，满足不同的使用要求。