线性

In the mean time we also give out a reduction way for nonlinear generalized system F =0 by use of the special projection mappings Q . Based on these we prove that the qualitative structure near the isolated equilibrium point of regular nonlinear generalized system is qualitatively equivalent with the structure near the equilibriun point of the linearization system of nonlinear generalized system, so we give out a way for qualitative analysis near equilibrium point of nonlinear generalized system.

其次，对一般形式的非线性广义系统F=0，利用特殊选择的投影函数Q，给出了一种归约方法，在此基础上，并证明了正则非线性广义系统问题的孤立平衡点的小邻域的定性结构等价于其线性化后的线性广义系统平衡点的定性结构，从而为非线性广义系统的平衡点的定性分析提供了一条途径。

Based on the generalized Fisher linear discriminant criterion, this problem is solved by combining projection transform, isomorphic mapping and compressed transform.

该文基于广义的Fisher线性判别准则，将投影变换、同构变换和压缩变换相结合，解决了这个问题，完善了小样本情况下线性鉴别分析理论。

The Turkdogan's rule is a linear concentration rule of the solubility ofcarbon in the molten Fe-alloys, while he Zdanovskii's rule is that of the mixed elec-trolytes at isopiestic condition.

Turkdogan规则是铁合金熔体中碳的溶解度线性浓度规则；Здановский规则是水活度恒定条件下混合电解质水溶液的线性浓度规则。

Parameter imaging is equivalent to the result of the first step iteration in linear least squares inversion.

在Born近似和线性反演的统一框架下，指出参数成像、线性反演和非线性拟合反演是反演的三个层次。

Each step of the iteration is to solve a linear semi-infinite programming that is transformed into a linear programming by frequency discretization.

每步迭代都是求解一个线性半无穷规划，通过离散化处理线性半无穷规划可以转化为线性规划来求解。

To sum up, a non-interior-point smoothing algorithm for solving the complementarity problem is proposed in this dissertation, which outperforms many existing non-interior-point smoothing algorithms in the sense that only one system of linear equations is solved and one linear search needs to be made for the solution at an iteration step.

特别是，本文提出的非内点光滑型牛顿算法在求解上述问题的过程中，在每一个迭代点处只需要解一个线性方程组和做一次线性搜索，比已有文献中的算法具有更大的优越性。

Since the linear systems involving Kronecker product and multiple right-hands are widely applied in many areas, we shall investigate the condition numbers for these linear systems: In chapter 1 we briefly review the background of linear systems and numerical algorithms for solving them. We also introduce the source of condition numbers.

由于带Kronecker积和带多右端项的线性方程组在很多领域得到了广泛的应用，因此本文对这类方程组的条件数进行了研究：在第一章中我们简单回顾了线性方程组问题的研究背景和数值求解方法，并介绍了条件数问题的来源。

The linear range of α-lactalbumin and β-lactoglobulin were respectively 0.25~1.75 μg and 0.16~1.44 μg. There were good linear correlations about the two components.

外标法定量，α-乳白蛋白和β-乳球蛋白两种组分线性范围分别为0.25~1.75μg和0.16~1.44μg，线性关系良好，相关系数分别为0.9940和0.9912。

For linear complementarity problems , a new smooth merit function is constructed, the linearity of LCP is well preserved as the piecewise quadratic convex property of it. By using the merit function a new Lagrangian multiplier method is proposed.

对线性互补问题，首次得到一种乘子固定时具有分片二次凸性质的光滑价值函数，它在光滑条件下完好保持了原问题的线性性质，基此提出了Lagrange乘子法。

The main topics are: set theory foundation, Lebesgue measure and Lebesgue integral, basic theories on linear normed spaces and Hilbert spaces and introduction to linear bounded operators.

本课程基本内容包括集合论基础、Lebesgue测度与Lebesgue积分、线性赋范空间与Albert空间的基本理论和有界线性算子简介。

Breath, muscle contraction of the buttocks; arch body, as far as possible to hold his head, right leg straight towards the ceiling (peg-leg knee in order to avoid muscle tension).

呼气，收缩臀部肌肉；拱起身体，尽量抬起头来，右腿伸直朝向天花板（膝微屈，以避免肌肉紧张）。

The cost of moving grain food products was unchanged from May, but year over year are up 8%.

粮食产品的运输费用与5月份相比没有变化，但却比去年同期高8％。