矢量计算

First, the paper introduces the moving coordinate system based on the curve tangent vector and the curvature component vectors. Next, the total curvature vector is composed and the osculating plane determined in the moving coordinate system. The curve bending is then calculated and the recursion analysis made on the osculating plane.

鉴于空间曲线上曲率采集面的变化，引入了由曲线切向量和曲率分量决定的运动坐标系，接着在运动坐标系中合成曲率矢量，确定密切平面，然后在密切平面中对曲线进行弯曲计算和运动坐标系的变换分析，并对相关公式进行了推导。

The formulae were derived to calculate the spherical coordinates of any vector after the specimen was rotated any angles around any axis based on the homogenous coordinate theory.

摘 要：在利用同步辐射进行晶体缺陷的形貌研究时，为了获得晶体缺陷的三维分布信息，在实验中样品要在样品台上沿不同方向旋转轴进行多次旋转，因而需要计算样品经过多次旋转后任意矢量的空间坐标以及缺陷的取向坐标。

Analyse the tooth geometry of Klingelnberg Cyclo-Palloid spiral bevel gear.,according to the relative position and kinematic relation of the cutter heads,virtual crown gear and the processed wheel blank,established the system of coordinates of the gear cutting, dedcuced the tooth face equation of the virtual crown gear, according to relations of the gear cutting and space theory of engagement, deduced the tooth face equation of klingelnberg Cyclo-Palloid spiral bevel gear, and drawing the three-dimensional graphs of the virutal crown gear and Klingelnberg Cyclo-Palloid spiral bevel gear according to the design and setting parameters.

根据铣齿加工中刀盘、摇台和轮坯的相对位置和相对运动关系建立了切齿啮合坐标系，由矢量的旋转推导了产形轮齿面方程；根据空间啮合原理和切齿啮合关系推导了被加工齿轮的齿面方程；由设计参数和铣齿调整参数计算得到齿面离散数据，绘制了产形轮和摆线齿锥齿轮的三维齿形。

The DBHF method adopts the realistic nucleon-nucleon interaction, which is fitted to the NN scattering phase shifts and deuteron properties.

G矩阵包含了核子有效相互作用的同位旋信息，同位旋矢量介子对质子和中子的作用不同，在计算中我们区分核物质中的质子和中子，这样得到的RMOP是同位旋相关的。

According to the vector modal theory for any shape profile metallic grating,the diffraction fields are studied numerically.

本文根据任意槽形金属光栅的矢量模式理论，对正弦槽光栅和半椭圆槽光栅的情况进行了推导和数值计算。

The method solves the real time problem of how to extract the positive sequence active and reactive currents from an unsymmetrical and distorted three phase system by fan-in theory, and simplifies the system structure and reduces the computation burden.

既解决用扇合矢量法从三相不对称、含畸变的系统中提取基波正序有功、无功电流的实时性问题，又达到简化系统结构和减少计算量的目的。

In order to calculate the equivalent step index of the periodic structure of the cladding holey optical fiber, all-vectorial fundamental space filling mode approach was utilized.

为了计算周期结构包层多孔光纤的等效阶跃折射率，采用了全矢量基本空间充填模式法。

The vector diagram of sea ice drifting field can also be calculated by this real time and in-situ radar monitoring.

同时首次现场实时计算出雷达冰漂流场矢量图，并开展了雷达海冰数值跟踪预报，在冰区油船外输作业中得到很好应用。

The testing method of the kitchen ventilator quality,as well as the calculation method of the leakage of the oil fume and the waste gas from combustion gas are given by measuring the effective intensity vector diagram of the suction wind field for a kitchen ventilator.

通过对吸油烟机抽吸风场有效强度矢量图的测量，给出了吸油烟机质量技术检验方法和油烟废气、燃气废气污染泄漏量的计算方法；对油烟、燃气废气在厨房的扩散与循环作了详细分析，并对国标提出几点建议。

The pixel value larger 40 that means slope angle there is larger than 40 degree could be filtered out using "Raster Calculator".

最后一步，是把栅格数据转换为矢量数据，做为将来在区域计算和叠加分析中的进一步应用。

They weren't aggressive, but I yelled and threw a rock in their direction to get them off the trail and away from me, just in case.

他们没有侵略性，但我大喊，并在他们的方向扔石头让他们过的线索，远离我，以防万一。

In slot 2 in your bag put wrapping paper, quantity does not matter in this case.

在你的书包里槽2把包装纸、数量无关紧要。