查询词典 kernel of linear mapping

The parameter estimation of the linear model is one of the basic issues of the linear model statistical deduction.

因此，线性模型无论在理论上还是在应用上都起着非常重要的作用。

A kind of linear estimator is derived in linear regression model.

提出了线性模型中回归系数的一类线性估计。

The main contents of this course include linear space, linear transformation , quadratic form and Euclid space.

本课程内容有：线性空间、线性变换、二次型、欧氏空间等。

The generalized minimal error method for solving large linear systems minimizes the Euclidean norm of the error in the related generalized Krylov subspace, and is one of Krylov subspace methods for solving large linear system Ax = b.

广义最小误差方法是求解大型线性方程组Ax = b的一个Krylov子空间方法，使误差范数在Krylov子空间上达到最小，。

It is demonstrated that the error of thermal deformation with mean coefficient of linear thermal expansion is more high, so that it is certain trend to use immediate thermal expansivity instead of mean coefficient of linear thermal expansion to improve the instruments accuracy in precision engineering.

理论上建立了平均线膨胀系数同瞬间线膨胀系数计算热变形的误差数学模型，并通过实验论述了精密工程应用中使用平均线膨胀系数计算的工件热变形误差较大，提出广泛使用瞬间热膨胀系数替代平均线膨胀系数是提高机器设备精度的发展趋势。

In present, the discussions of EB estimation are almost all about to exponential distribution family and truncated distribution family, but linear exponential distribution is not exponential family and truncated family, thus, Empirical Bayes estimation for parameter of linear exponential distribution are studied in chapter 4 and chapter 7 that is new aspect.

当前对经验Bayes估计的讨论，大多是对指数分布族以及截断分布族的，线性指数分布即不属于指数分布族也不同于截断型分布族，因而在论文的第四章和第七章研究线性指数分布参数的EB估计是具有一定的新颖性的。

Firstly, this paper analyses the linear filters which are the basis of radar data processing, such as Kalman filter,α-βfilter,α-β-γfilter, Two-point Extrapolator filter and Linear Regression filter. And their performances should also be evaluated and compared.

本文首先讨论了雷达数据处理中基本的线性滤波方法包括卡尔曼滤波(Kalman Filter，KF)，α-β与α-β-γ滤波方法，两点外推滤波以及线性自回归滤波方法等，并将做滤波方法的性能比较。

This text verify the linear regression relation of the power factor, efficiency and rated loading according to the spot data, and proof the linear regression relation is more accurate than other related relation.

本文还根据现场数据确定了功率因数、效率和负载率三者之间的线性回归关系，并证明了线性回归关系比其他相关关系准确。

Factorial experiment design ; Repeated measurement data ; General linear model ; Mixed linear model

析因设计；重复测量资料；一般线性模型；混合线性模型

Now the controllability theory in linear systems over the field R of real numbers has been heavily studied. This theory is efficacious for analyzing the characters which are determined by the value of physical parameters and system structure, nevertheless a practical system has a definite structure and has approximate, even unknown parameter sometimes because of a limit to experiment conditions, or a limit to making technology, the errors of observation. It is inconvenience for a linear system over the field R of real numbers to analyze the structure characters of a physical system, such as structural controllability.

目前，实数域上的系统的完全能控性理论研究已经很成熟了，它用于分析系统结构和物理参量的值共同决定的那些性能是有效的，然而，在工程中，由于实验条件或者制造工艺上的限制和观测上的误差，以及人为地对数据的近似处理，一个实际系统往往其结构是确定的，而参数只是近似的甚至未知的，实数域上的系统不便于分析物理系统的结构性质，如结构能控性。

"Second Life is remarkably easy to work with, and is very popular,"

"第二次生命是显着容易的工作，并且很受欢迎，"

For example, we usually assume that materials are homogeneous and isotropic and free of internal defects or flaws.

为了得到适合有限元分析的模型，我们必须经过如图2所示的简化步骤。