线性的

Linear space and linear transformation, and matrix theory connecting with them, is a central content of linear algebra.

线性空间与线性变换，以及与此相联系的矩阵理论，是线性代数的中心内容。

On the base of the reversibility analysis of the PMSM's mathematical model, the PMSM system is decoupled into a second-order linear speed subsystem and a first-order linear stator current subsystem.

通过对永磁同步电机的数学模型可逆性分析，将永磁同步电机系统解耦成二阶线性转速与一阶线性定子电流两个低阶的线性子系统。

The permanent magnet synchronous motor is decoupled into second-order linear speed subsystem and first-order linear flux subsystem. The aim space voltage vector is ascertained by combining sector judgment of stator flux with the practical system inputs after linearization and decoupling. The system is decoupled into two linear subsystems, flux and rotor speed, which realizes the completely dynamic decoupling for permanent magnet synchronous motor speed control system.

将永磁同步电机动态解耦成二阶线性转速子系统和一阶线性磁链子系统，结合磁链扇区判断方法和线性化解耦后的实际系统输入来确定目标空间电压矢量，实现了永磁同步电机调速系统的转速和磁链动态解耦控制。

In this paper, we mainly discuss some preliminary studies about statistical diagnostics for one kind of restricted multivariate linear regression model. At first, we give the parameters estimation of this model. After that, the problem of outlier test is considered by giving the equivalence relations of estimators and statistics in multivariate case deletion model and mean shift outlier model under the restricted condition.

本文主要讨论的是一种带线性约束的多元线性回归模型（这里的多元是指多个因变量对多个自变量的情形），重点在与统计诊断方面的一些初步研究，首先给出带有线性约束的多元线性回归模型的参数估计，其次讨论了该模型的异常点检验问题，主要介绍了常见的数据删除模型及均值漂移模型，并证明了此两种模型统计量之间的等价性。

A strategy of vector predictive coding with high parallel processing ability can be achieved with the application of the principle of orthogonal projection in Hilbert space.

其后，线性预测在形成各种公式的基础上被广泛地应用起来，用线性预测原理构成声道模型的编码方法称为线性预测编码。

The dissertation will study some problems in stream ciphers. The main results that the author obtained are as follows:(1) The concept of fuzzy linear complexity is presented initially. The estimation problem of the fuzzy linear complexity of the random vector is studied, and a lot of upper bounds are given. The limit properties of fuzzy linear complexity of random vector are studied, and the limit theorem and the limit of variance of the fuzzy linear complexity of random vector are given.(2) The concept of fuzzy nonlinear complexity is presented initially.

本文在前人工作的基础上对序列密码中的一些问题进行了研究；所取得的主要研究成果综述如下：（1）首次提出了模糊线性复杂度的概念，对随机向量的模糊线性复杂度的均值进行了估计，给出了几个上界估计公式，并研究了随机向量模糊线性复杂度的极限性质，给出了随机向量模糊线性复杂度的极限定理及其方差的极限。

The research of this paper includes: 1. We corrected an incomplete expression of a known theorem on singular eigenvalues of matrix.

由这两种方法得到两种线性系统，一种是稳定化的线性系统，另一种是稳定的线性系统。

Three-way data analysis (Chapter 1 to 5 of Part Ⅰ): In terms of the symmetry of trilinear model, several statistical criteria including coupled vectors resolution errors and slice-wise diagonalization error are proposed for statistically plausible resolution of trilinear data. These criteria form the basis for the development of novel trilinear analysis procedures. In Chapter 1 the coupled vectors resolution method is developed for second-order calibration.

三阶数据分析：利用三线性模型的对称性，提出了耦合向量分辨误差与同时对角化误差等多个三线性分辨的统计准则，这些准则为今后发展三线性分辨方法提供了重要依据。

For FMCW radar ,the linearity of synthesizer is critical. A novel nonlinear PLL which can be used in VCO nonlinearity compensation is presented. By using the SAW delay line to delay the FMCW signal ,the IF signal can be locked on a reference frequency after mixing the delayed VCO signal frequency and the undelayed.

微波频率合成器是雷达系统很重要的一部分，对于FMCW雷达而言，VCO的频率线性度直接影响雷达测距测速的精度，本文应用微波频率合成器的原理构造了一个用于VCO线性化的非线性PLL，并首次研究了该PLL的环路相位模型，得出了用于线性校正计算的理论公式，最后应用ADS软件对该公式做了仿真验证，结果表明该理论的正确性，为VCO的线性化提供了理论指导。

The contributions of this paper are followed:1 IntroductionIntroduce the concept "Blind" and present MEMO blind source separation model.2 Research on the instantaneous mixture systemReview the techniques developed for the demixing of the instantaneous mixture case.3 Research on the linear convolutive systemModel the linear convolutive system and review the deconvolution approaches in time domain.4 Introduce a new method to MIMO BSSA new approach to MIMO blind source separation in frequency domain is introduced, experimental tests are conducted,and results are satisfied.

论文包括了以下几个部分： 1。简介介绍&盲&的概念，并对瞬时混合盲源分离系统进行建模。 2。对瞬时混合多输入多输出系统的研究对瞬时混合系统的盲源分离原理和技术进行了简单的回顾。 3。对线性卷积混合系统时域算法的研究对线性卷积混合系统建模，并对时域的盲解卷方法进行研究和比较。 4。提出了一种对线性卷积混合系统进行分离的新方法提出一种多输入多输出线性混合系统的频域盲源分离方法，进行仿真实验，以验证该算法的效果，初步结果令人满意的

For a big chunk of credit-card losses; the number of filings (and thus charge-off rates) would be rising again, whether

年美国个人破产法的一个改动使得破产登记急速下降，而后引起了信用卡大规模的亏损。

Eph. 4:23 And that you be renewed in the spirit of your mind

弗四23 而在你们心思的灵里得以更新