矢量计算

In studying the linear response of the dressed quark propagator in the presence of the variable external field, we derive a general expression for the vacuum susceptibility, based on the two-point external field formula in the Quantum Chromodynamical sum rule. The expressions we have derived for the calculation of vacuum susceptibility are model independent. Then we use the expressions to calculate the renormalised axial vector, vector and tensor vacuum susceptibilities.

接下来在研究夸克传播子在外场中的线性响应时，我们利用QCD求和规则两点外场公式推导出了一般的计算真空磁化率的公式（以变化的轴矢量外场为例），我们这里推导出的真空磁化率的计算公式是模型无关的。

Enter your data as avector, mixed or improper fraction, any degree, radian or angle, sexadesimal and hexadecimal, decimal, octal and binary number to compute any scientific, logical, vectorial and statistical operationsincluding standard deviations and nonlinear regressions.

键入你的数据作为一个向量，混合/假分数，任何度数/弧度/角度，；六十进制数以及16进制/10进制/8进制/2进制数进行任何科学计算，逻辑运算，矢量运算和包括标准离差和非线性的回归的统计分析计算。

First the FEM-BI (Finite Element – Boundary Integral Methods) base on vector element is presented to compute the electric field in the cavity backed antennas.

计算中首先采用基于矢量单元的"有限元－边界积分方程法"计算出背腔天线内部电场的分布；再采用互易原理求解天线的远区场，从而获得天线的辐射方向图。

A mathemetical model of magnetic field in electromagnetic separation of inclusions from molten aluminum under rectangle coil and 50Hz current is presented according to the magnetic vector potential integral equation and the basic theory of magnetohydrodynamics. The magnetic field distribution in the gap of coils is simulated by the model and the actual magnetic field distribution also is measured. The experimental results show that the magnetic field distribution in the gap of coils is uniform and is consistemt with the model simulation. The magnetic field designed accord the simulated result is proved suitable in the practice.

摘 要：根据电磁流体力学的基本理论，利用矢量磁位积分，建立了在采用矩形电磁线圈和工频电源的条件下电磁分离铝熔体中夹杂的电磁场数学模型，模拟计算了电磁感应线圈气隙中的磁场分布状态，同时对制做的感应线圈的实际磁场进行了测量模拟计算磁场的分布状态与实际磁场的测量结果基本一致，都表明在电磁感应线圈气隙中磁场分布均匀，可以进行分离铝熔体中的非金属夹杂。

Then the computation processes of the wedge sliding safety factor considering seismic influences in 3DEC are carried out, and two important steps in the compute process are given: the determination of the area of triangle, the volume of tetrahedron in 3D and the intersect line vector of two joint faces.

最后，分析考虑地震影响下楔体安全系数计算在3DEC中的实现过程，并且给出计算过程中的2个重要步骤，确定空间三角形的面积和四面体的体积以及确定两节理面的交线矢量。

In this paper, the theory, algorithm, and experiment of automatic object detection and tracking are studied in depth. It is firstly pointed out that the essential of Mean Shift method is a special Newton-Gaussian method. A new method named Fast Mean Shift is established to stretch the conservative step of Mean Shift method. The convergence and validity of this new method are proved in theory. And it is also proved that the convergence speed of Fast Mean Shift is faster than that of Mean Shift. The contrast experiments of searching the maximum possibility density of random of data sets in plane and 3D space are done. The results show that this new method can reduce the iterations greatly. A new object tracking method based on Fast Mean Shift is built to improve the object tracking performance, which is shown in the face tracking experiment with the tennis sequence provided by the Ohio State University, and the car tracking experiment with the car sequence provided by Kalsruhe University. The face trcking experiment with highly noised images show that the object tracking method based on Fast Mean Shift has strong anti-jamming ability. A new fast color object detection technology based on characteristic color is established, which use characteristic color distribution to compute the characteristic color vector of any area in an image quickly. With the high performance search method, the fast object detection is achieved. At last, using object tracker based on Fast Mean Shift and color object detector based on characteristic color with the Kalman filter, PID controller, searial communication and other technologies, automatic object detection and tracking system with control system is built. The availability and anti-jamming ability of this system are verified by some object detection and tracking tests in different scenes.

本文对目标自动识别与跟踪进行了理论、计算、试验三方面的深入研究，主要包括：首次指出了目标跟踪技术中常用的均值迁移方法的本质为一种特殊的高斯-牛顿方法，改进了均值迁移方法步长取值保守的弱点，建立了快速均值迁移方法，证明了该方法的收敛性、有效性以及收敛速度优于均值迁移方法；进行了平面和3维随机分布数据集的最大概率密度搜索对比试验，试验结果表明，快速均值迁移方法大大减少了迭代次数；建立了基于快速均值迁移的目标跟踪方法，利用俄亥俄州立大学提供的乒乓球序列图像和卡斯鲁厄大学的汽车序列图像，对人脸和汽车目标跟踪性能分别进行了对比试验，并进行了高噪声人脸图像目标跟踪试验，结果表明，基于快速均值迁移的目标跟踪方法有效提高了目标跟踪性能，具有很强的抗干扰能力；建立了一种新型彩色目标自动识别方法，采用特征色彩分布函数实现了对任意图像区域特征色彩矢量的快速计算，建立了高效的搜索方法，实现了彩色目标的快速识别；将基于快速均值迁移方法的目标跟踪方法、基于特征色彩的目标识别方法与卡尔曼滤波、PID控制、串行通讯等技术结合，建立了带有控制系统的快速目标自动识别与跟踪系统，并在不同场景下进行了目标自动识别与跟踪试验，验证了快速目标自动识别与跟踪系统的有效性和抗干扰能力。

This paper gives formulae of computing spatial disturbing gravity using ground data, and presents the formulae of the effect of outer gravity anomaly on the point to be computed based on the theory of Wong and Gore.

给出了由地面重力数据计算外空扰动重力矢量的公式，并根据WongandGore截断理论给出了外区重力异常对计算点影响的公式。

The algorithm utilizes the rotating transformation theory of vector, and derives a mathematical expression of trigonometric function which has the interval monotonicity. By comparing the values of mathematical expressions, the sizes of the angles can be judged, this avoids the troublesome calculations of angles, diminishes errors and raises efficiency.The prototype of 3D reconstruction system uses the DXF file as the data source.

文中的算法采用矢量的旋转变换理论，通过计算各分支路径与当前路径之间的三角函数值，利用变换后的三角函数表达式的区间单调性，将角度值的比较转换为三角函数表达式值的比较，从而避免了繁琐的角度值计算，减少了误差，提高了执行效率。

Basing on the analysis of Park model and the vector diagram of hydro generator and taking its actual wiring in the power system into account,this paper develop an accurate method—Newton analytical method,to calculate the static stability boundary condition.

本文通过对水轮发电机派克方程和矢量图的分析，并考虑其在电力系统中的实际联结情况，建立一种精确的水轮发电机静态稳定边界计算方法———牛顿解析法，用此方法对多台机组静态稳定边界点所有参数的计算结果与试验实测值进行比较，误差很小，达到了足够的准确度。

The swing mechanism of a rocking mixer is analyzed using the computational software Matlab and vector equation analysis.

应用计算软件Matlab，根据矢量方程解析法对摇滚式混合机的摆动机构进行了分析，由摆动支架摆角变化求出其相应的摆动角速度和摆动角加速度，并计算出整个摆动部分的重心和转动惯量，得到摆动所需功率。

I am accused of being overreligious," she said in her quiet, frank manner,"but that does not prevent me thinking the children very cruel who obstinately commit such suicide.""

客人们在卡罗利娜·埃凯家里，举止就文雅一些，因为卡罗利娜的母亲治家很严厉。

Designed by French fashion house Herm è s, this elegant uniform was manufactured in our home, Hong Kong, and was the first without a hat.

由著名品牌 Herm è s 设计，这件高贵的制服是香港本土制造，是我们第一套不配帽子的制服。