根据这种观点，多层介质波导中波的传播和散射可以归结为多维空间向量的坐标变换，并可用传输线和网络表示。
According to this point of view the transmission and scattering in multilayer dielectric waveguides can be regarded as coordinate transformation of a vector in ann-dimensional vector space.
不管那些了，我断言我们可以找出移动点的位置了,因为对于向量1,我们可以找出Q0和Q1的坐标。
So, OK, so apart from that, I claim now we can find the position of its moving point Q0Q1 because, well, this vector, Q0Q1 we can find from the coordinates of Q0 and Q1.
我来举个例子，解释为什么我们用向量来学习参数曲线，毕竟我们学了这么多的都只能在坐标上完成。
OK, so let me show you a nice example of why we might want to use vectors to study parametric curves because, after all, a lot of what's here you can just do in coordinates.
如果取一个有旋的向量场，流体流动方向是环绕某个坐标轴的，那么就会发现它的散度是零。
And, if you take a vector field where maybe everything is rotating, a flow that's just rotating about some axis, then you'll find that its divergence is zero.
原始的材质贴图坐标和高度数据已经在切线空间中了，因此视向量最好也能如此。
The original texture coordinate and height values are already represented in tangent space, so the eye vector must be as well.
法向：使用法向量的方向作为坐标。这在创建某些特效时非常有用（见下文）。
Nor: Uses the direction of the normal vector as coordinates. This is very useful when creating certain special effects (see below).
反射：使用反射向量的方向作为坐标。环境映射需要这种输入。
Refl: Uses the direction of the reflection vector as coordinates. You will need this input when Environment Mapping.
本文的方法与现行坐标变换矩阵法相比，变换次数和被变换的向量个数明显减少，从而使计算过程大大简化。
The measure of the text compares the current coordinate matrix, the switch time and the number of switched vector have decreased, so the process was simplified.
提出了运用向量法建立空间局部坐标系与整体坐标系的转换关系，从而使趾板坐标计算简捷方便，且易于设计修改。
It is suggested that transformation relation between spatial local coordinate system and integral coordinate system be established by vector method, which simplifies coordinate calculation of to.
从空间几何角度出发，利用空间向量的关系研究坐标转换，提出一种新的三维基准转换模型。
Through studying the relationship between space vectors of different coordinate systems, a new model of three-dimensional datum transformation is proposed.
而空间数据则为空间对象的几何坐标或向量表示。
The spatial attribute is a coordinate geometry, or vector-based representation of the shape of the feature.
机械系统的欠驱动特性是指系统控制输入向量空间的维数小于系统广义坐标向量空间维数的情况。
The underactuation of mechanical systems means that the dimension of the control vectors of systems is less than that of the configuration vector of systems.
同时也还给出了由可合元素的坐标表示其生碱向量的方法。
At the same time, the author gives the method of expressing the spanning vectors by the coordinates of decomposable elements.
通过坐标系的变换和引入辅助向量获得了解析的捕获域和截获时间，并在三维空间内对这种追踪导引过程进行了仿真验算。
In this paper, however, the capture set and time of interception are obtained analytically by coordinating transformation and exploiting of accessorial vector.
提出误差推导的一种新方法，利用向量旋转及坐标系变换理论推导出误差公式。
Deducing error equation that used vector rotating and transfer of axes theory, Measuring out measurement parameter error on different orthogonality by testing optical-electrical device.
从空间几何角度出发，利用空间向量的关系研究坐标转换，提出一种新的三维基准转换模型。
This paper presents a method for finding the solution of coordinate transformation based on space vector.
为进行斜齿锥齿轮副的齿面接触分析，并直观显示齿面接触区，利用圆向量函数和球向量函数的矢量回转和坐标变换方法，建立了斜齿锥齿轮齿面接触分析的数学模型；
To analyze and display the contact of skew bevel involute gears, a mathematic model was established by vector gyration and coordinate transform of circle vector functions and sphere vector functions.
每一个点产生一个特征向量来描述关于其尺度空间坐标系的局部区域采样。
Each point is used to generate a feature vector that describes the local image region sampled relative to its scale-space coordinate frame.
三角形的法向量和纹理坐标是很常见的两种依赖插值变量。
Two very common variables that often rely on this interpolation are the triangle normal and texture coordinates.
该文以相分量故障处理方法为依据，提出了一种相分量坐标下的故障向量变换法。
This paper presents a new way, fault vector transformation method in phase coordinates, based on fault analysis of phase components.
另外，本文提出了由等值面数据计算法向量的方法，实现了在只有等值面坐标数据的情况下计算法向量。
Furthermore, a method of how to calculate vector of the iso-surface that has been extract from volume data is presented in this paper.
然后由平埘的点法式方程自然地引出了用坐标法定义向量的内积外积。
Then, we prove that the definition of coordinate method and that of vector method are equivalent.
在第一种改进方案中，各单元的权值向量根据各单元和BMU之间对应各坐标的差进行更新。
In the first improved scheme, the weight vectors of the units were updated according to the differences of the corresponding coordinates between the units and the BMU.
在笛氏齐次坐标的基础上，采用齐次向量的方法，建立二维射影坐标系。
It is shown that the 2_dimensional projective coordinate system can be constructed by homogeneous vector on the basis of the Descartes homogeneous coordinates.
首先对真实气体流动的数值模拟方法进行了研究，推导了任意曲线坐标系下真实气体流动控制方程雅克比（Jacobian）系数矩阵的特征向量矩阵和特征值；
Firstly, the eigen vector matrix and eigen value of Jacobian matrix of governing equations for the real gas flows in general curvilinear coordinate system are deduced.
首先对真实气体流动的数值模拟方法进行了研究，推导了任意曲线坐标系下真实气体流动控制方程雅克比（Jacobian）系数矩阵的特征向量矩阵和特征值；
Firstly, the eigen vector matrix and eigen value of Jacobian matrix of governing equations for the real gas flows in general curvilinear coordinate system are deduced.
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