单位矩阵

This paper analyzes the property of FNT, the characteristics of Kernel Matrixes and the relationship between Kernel Matrixes of two-dimensional Fermat number transform whose modulus are odd prime and image data, and presents and proves the deduction of the theorem which demonstrates the relationship among different transform matrixes corresponding to different roots of unity under the same odd prime modulus of FNT, and reveals the essence of FNT whose modulus are odd prime.

分析二维Fermat数变换性质、正反变换核的特点、二维模为奇素数的二维Fermat数变换正反变换核以及与图像数据的关系，提出了不同单位根对应变换矩阵间的关系定理的推论，证明了该推论中模为奇素数的二维Fermat数变换的不同单位根对应的变换矩阵之间的关系，揭示了模为奇素数的二维Fermat数变换的本质，在构造离散图象数据Fermat数变换时为单位根的选择奠定了理论基础。

And find that each element in the group can be decomposed into the product of two quaternion component matrices.

指出SO(4)群中每个矩阵都可以分解为两种单位四元数分量矩阵乘积的形式。

A substance is through the primary transformation into an upper triangular matrix, the transformation matrix is a unit lower triangular matrix.

实质上是将A通过初等行变换变成一个上三角矩阵，其变换矩阵就是一个单位下三角矩阵。

This is the so-called Duerlite algorithms: from the bottom row of the matrix A do elementary transformation, the diagonal elements into the bottom left of zero, and then show the effect of these lines is equivalent to transform the left by a unit lower triangular matrix, this series of unit lower triangular matrix inverse is the product of L matrices, it is also a unit lower triangular matrix.

这正是所谓的杜尔里特算法：从下至上地对矩阵A做初等行变换，将对角线左下方的元素变成零，然后再证明这些行变换的效果等同于左乘一系列单位下三角矩阵，这一系列单位下三角矩阵的乘积的逆就是L矩阵，它也是一个单位下三角矩阵。

Rotation matrix s representation with the unit quaternion has no singular points, so the unit quaternion-based estimation method is of more practical importance, and the algorithm in this paper does not need iteration computation compared to those unit quaternion-based method proposed by Horn(1987) and Su, et al.

单位四元数表示旋转矩阵时不存在奇异点，故基于单位四元数的运动估计方法具有更大的实用价值，而本文算法无需Horn(1987)和Su等人(1989)提出的单位四元数方法的迭代运算。

Using the method of unit matrix synthesis to solve the coupling problem between the paper pulp flux and the steam press in the papermaking process.

运用单位矩阵解耦控制方法，解决造纸过程中纸机网前箱系统中纸浆流量和蒸汽压力的耦合问题；并在实验室的纸机网前箱的模型中予以实际应用，实验结果表明：该解耦控制算法是可行的，有一定实用价值。

The characteristic vector of the real symmetric matrix should be found out, which is orthogonalized and normalized to a standard orthogonal base and is used as row vector to construct the transformation matrix P, so the P~(-1)AP can be made into diagonal matrix.

实对称矩阵A经相似变换P-1AP可化为对角矩阵，在x =Py 下，不一定能化A的二次型为标准型；应寻求对称矩阵A的特征向量，将其正交化并单位化作为标准正交基，作为列向量构造变换矩阵P，可使P-1AP=Λ为对角阵，在x =Py 下，要将二次型化为标准型，且二次项系数即为对角阵Λ主对角线上元素。

In this note the author showed that if s is nonnegative integer and A∈B n,n+s, then |R|=2 n if and only if A contains a submatrix which is permutation equivalent to the unit matrix of order n.

作者证明：如果s是一个非负整数且A ∈Bn ，n+s，那么｜R ｜=2 n 当且仅当A含有置换等价于n阶单位矩阵的一个子阵

A set of mathematical expressions are derived including geometrical matrix,stress matrix,stiffness matrix of weak plane element,equation of equivalent nodol load caused by unit initial stress in element.

文中推导了弱面单位的几何矩阵~6，应力矩阵~6，刚度矩阵~6以及单元初应力引起的等效结点荷载{P}等计算公式。它们有别于一般文献所列算式。

In both sampling period and fractal computing dimension,the signal is fuzzed to construct fractal dimension subordinating degree. A novel correct method,the fuzzy neural network diagnosis method,was proposed,in which the input is the fractal dimension subordinating degree, and the output is the unit matrix. A gearing system was diagnosed by using the modeling.

以多时间尺度采样所获得的分形维数隶属度作为网络输入，单位矩阵为网络输出的分形模糊神经网络，建立了时域精确诊断新方法，通过对典型齿轮系统故障进行精确诊断，结果表明分形模糊神经网络诊断方法的有效性。

On the other hand, the more important thing is because the urban housing is a kind of heterogeneity products.

另一方面，更重要的是由于城市住房是一种异质性产品。

Climate histogram is the fall that collects place measure calm value, cent serves as cross axle for a few equal interval, the area that the frequency that the value appears according to place is accumulated and becomes will be determined inside each interval, discharge the graph that rise with post, also be called histogram.

气候直方图是将所收集的降水量测定值，分为几个相等的区间作为横轴，并将各区间内所测定值依所出现的次数累积而成的面积，用柱子排起来的图形，也叫做柱状图。