功的定义用到矢量代数的第三种运算，即两个矢量的标积。
The definition of work suggests a third process of vector algebra, namely, scalar multiplication of two vectors.
用矢量代数方法导出了弦步法与弧步法两组公式并作了例算对比。
The two sets of formulas for chord and are methods are derived by using vector algebraic method and some examples are listed for calculating and contrasting.
本文用矢量代数法推导出刀具刀尖安装得较高或较低时工作角度的计算公式。
In this paper, the formulas of working angles of the cutting tool for tool nose locating position changes are derived from vector method.
由于分数维不能反应灰度图像的方向性，本文利用矢量代数的基本知识，提出了一种灰度图像方向角的提取方法。
Because fractal dimension can not respond to the orientation of the gray level images, an image orientation Angle estimating method is proposed by basic knowledge of vector algebra.
利用矢量代数的方法，推导出以方向余弦为参量的物坐标系到世界坐标系的坐标变换矩阵；利用矩阵求逆的方法，推导出世界坐标系到物坐标系的坐标变换矩阵。
The coordinate transformation matrix based on the direction cosine parameters from the object coordinate system to the world coordinate system is derived by vector algebra.
重点介绍了图像的代数特征抽取以及作者关于奇异值特征矢量作为图像的一种代数特征方面的研究工作。
The algebraic feature extraction of images and the authors' research work on singular value vectors as a kind of algebraic features of images are emphasized.
把量纲概念与矢量空间联系起来，提出用线性代数进行量纲分析的方法，并举例说明。
The concept of dimension is connected with vector space, a linear algebraic method for dimensional analysis is proposed, some examples are given.
通过代数法得到的相似平台3upu并联机构奇异位置，与用矢量法对一般3upu并联机构所作的分析一致。
The singular position of similar platform 3upu reached by algebraical method is identical to the position of general 3upu analysized by vector method.
利用多体系统增广特征矢量的正交性条件，可建立以系统物理参数为未知数的代数方程组。
By using the orthogonality condition of augmented eigenvector of multibody system, the algebraic equation group with unknowns of structure parameter is formed.
本文建立了八元向量代数，它既是一种方阵代数，又作为一个更加完备的运算系统而包含了复数、矢量和四元数。
The eight-vecter algebra is found in the paper, as a kind of square matrix algebra and as more complete operation system containing the complex number vecter algebra and quaternion numbers.
本文建立了八元向量代数，它既是一种方阵代数，又作为一个更加完备的运算系统而包含了复数、矢量和四元数。
The eight-vecter algebra is found in the paper, as a kind of square matrix algebra and as more complete operation system containing the complex number vecter algebra and quaternion numbers.
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