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This paper researches linear maps preserving orthogonality,obtains the linear maps preserving othrogonality,it is either a rank -declining or rank -keeping map or a map with nilpotent element in its codomain.

利用分块成向量的方法证明了MnMn(F为域F上所有n×n矩阵构成的乘法半群上的n×n拟正交矩阵组至多含有n个矩阵,利用方程组的解的理论证明了Mn中与给定矩阵A构成两两拟正交矩阵组的矩阵个数不超过n-Rank+1,从而得到Mn上保持拟正交性的线性映射φ要么是降秩的或者保秩的映射,要么φ的值域中含有幂零元。

The boundary conditions are assumed to be either the Dirichlet condition or linear Robin conditions.

在第一章,我们应用上、下解方法,bootstrap技巧和Schauder不动点定理考察如下三类周期反应扩散方程组的周期稳态解的存在性和一般的时变解的渐近性态:(1)拟单增系统;(2)混拟单调系统;(3)一个非拟单调2-系统,其边界条件是Dirichlet条件或线性Robin条件。

In Chapter 1, we use the upper and lower solutions method, the bootstrap technique and the Schauder fixed point theorem to investigate the existence of periodic solutions and the asymptotic behavior of general time-dependent solutions for periodic reaction-diffusion systems of the following three types:(1) Quasimonotone nondecreasing system;(2) Mixed quasimonotone system;(3) A nonquasimonotone 2-system. The boundary conditions are assumed to be either the Dirichlet condition or linear Robin conditions.

在第一章,我们应用上、下解方法,bootstrap技巧和Schauder不动点定理考察如下三类周期反应扩散方程组的周期稳态解的存在性和一般的时变解的渐近性态:(1)拟单增系统;(2)混拟单调系统;(3)一个非拟单调2-系统,其边界条件是Dirichlet条件或线性Robin条件。

In the paper, a mathematical model of quadrant detector output signal was established by light energy integral.

通过光能积分建立象限探测器输出信号数学模型,分析了输出信号线性特性与光斑和光敏面半径比、信号采样精度、象限间光电特性均匀性等之间的关系,给出对应探测器输出最优线性特性的光斑和光敏面半径比值,采用分段线性化方法拟合探测器输出特性参数。

In Chapter 4,we obtain the optimality for the quasi-score function 〓in a more general class of estimation functions〓,where〓and〓or〓This result is a extension of Gauss-Markov theorem of the linear model to the nonlin-eaar model.

在本章中,我们得到拟得分函数〓在一种较大的估计函数类〓中的最优性,其中〓而〓或〓于是,我们得到类似于线性模型中的Gauss-Markov定理和拟得分函数的拟Fisher信息上界及达到上界的充要条件:〓,其中〓为真实未知的得分函数,〓为模型均值。

The linear extrapolation technique was the most practical and suitable method because of its relative high correlation with a wide range of chlorophyll content, relative simple algorithm, relative high sensitivity to chlorophyll at high or low content and application to more wider bandwidth spectra.

四点线性内插法计算的红边位置往往偏大,最大一阶导数法与叶绿素含量的关系存在着明显的不连续性,拉格朗日内插法、倒高斯模型法在一定程度上存在着对高叶绿素含量的饱和现象,多项式拟合法对拟合波段区间、最高项次及光谱分辨率等比较灵敏而导致结果不够稳定,而线性外推法计算出的红边位置对叶绿素含量最为敏感,预测的准确度最高,且计算相对比较简单,并能适用于较宽波段的遥感数据。

Moreover, existence, uniqueness and continuous dependence of decreasing solutions and non-monotonic solutions for a linear iterative functional equation are discussed.

第三章研究了线性型迭代方程的拟凸解、拟凹解、凸解及凹解的存在性。

Carries on the data fitting to the experimental findings,and the linearity is up to ...

对实验数据进行数据拟合,线性拟合度达到0.97,进一步证明了该方法的可行性和有效性。

Geometrical and physical parameters of components of the absorber in the virtual prototype follow from those technical data of a specific passenger car. Bench tests are conducted and a series of experimental results have been obtained by the MTS absorber test machine for the damping force-velocity which can be imposed in the virtual prototype for dynamic simulation. The piecewise, the hysteretic looped and the abnormal looped hysteretic force-velocity curves for the absorbers are, respectively, input into the prototype.

减振器阻尼力—速度特性是根据MTS减振器特性试验机试验结果,通过分段拟合,分别以分段线性、迟滞环和迟滞环畸变情况输入虚拟样机进行仿真分析,试验及仿真结果比较说明:减振器速度外特性采用迟滞环非线性,比采用双线性化模型更接近试验结果,能够更合理地解释试验现象;减振器阻尼力速度特性曲线出现畸变,如在复原行程初期迟滞特性曲线出现交叉现象,可以引发减振器系统动力特性的高频振动成分增加。

He paper has been analyzed the resonant multiplets spectrum of SnI,has been computed by means of linear regression the parameters of the ground and first excited state of SnI.

本文分析SnI共振谱线组,线性拟合计算基态和第一激发态的谱项参数。增加校正项─aL(L+1)和aJ(J+1),大大改善拟会精

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