线性

The distribution coefficient K(subscript d for Cu, Cd, and Zn in soil-solution phase were calculated.

土壤溶液中的Cu与pH没有线性关系，而Cd和Zn与土壤溶液pH有显著的线性关系(P.01)。

We develop and apply the Hirota bilinear-θfunction method,Jacobi elliptic function expansion method,linear superposition method and F-expansion method respectively to solve many 2+1 dimensional nonlinear wave models including 2+1 dimensional 2DsG equation,the coupled ZK equation,2+1 dimensional KdV equation,2+1 dimensional long wave short wave resonance interaction equation and 2+1 dimensional dispersive long wave equation,abundant Jacobi elliptic function doubly periodic solutions are derived.These solutions show various periodic wave shapes and special periodic characters.

发展和应用Hirota双线性-θ函数方法，雅克比椭圆函数展开法，线性叠加法，F-函数展开法等分别求解2+1维2DsG方程，耦合ZK方程，2+1维KdV方程，2+1维长波短波共振相互作用方程，2+1维色散长波方程，获得丰富的雅克比椭圆函数双周期波解，描述了一些周期波形态及周期特性。

For example,a generalization of linear algebra is developed in which "convex bifunctions" are the analogues of linear transformations,and "inner products" of convex sets and functions are defined in terms of the extremal values in Fenchel's Duality Theorem.

例如，一类线性代数的推广形式在凸双重函数中发展起来，而凸双重函数是线性变换的类似情况，凸集和凸函数的内积是根据 Fenchel 对偶理论的极值定义的。

The main works in this paper are as follows:(1). In this thesis, a new method, continuous linearization model, is constructed for the non-linear dynamic systems. The precision Duhamel integration solution for the linearization equation is also given from the theory of linear differential equation. The calculating results show that the new method can improve the calculation precision greatly. In fact, the truncation error is not limited by this method, it can arrive the precision according to the requirement.

本文的主要工作有以下几个方面：(1)由于非线性项的存在，使得多数情况下难以得到非线性动力方程的解析解表达式，目前常使用数值积分方法来求解非线性动力学方程的解，但常规计算方法的计算精度不很理想，本文提出了含Taylor展开项中高阶余项的非线性动力方程的线性化数值计算方法，构造了瞬态线性化方程，给出了Duhamel积分的表达式。

After discussion of the relation of MR〓 and ALT, an algorithm proposed by Zhongping Qin and Huanguo Zhang, two conclusions are obtained: if a weak key can be successfully attacked by the method of reduced echelon matrix, it can also be successfully attacked by a linear R〓R〓 transformation; meanwhile, there exists such a weak key that can be successfully attacked by the algorithm MR〓 or linear R〓R〓 transformation, but this key can not be successfully attacked by the algorithm ALT. For a NFA, according to the number of solutions for the image equation of its R〓R〓 transformation, there exist two sufficient criteria about its weak invertibility and weak inverse.

通过比较MR〓与覃中平和张焕国提出的攻击FAPKC加密情形的算法ALT，证明了如下结果：凡用约化梯阵方法能攻击成功，用线性R〓R〓变换也能攻击成功；同时，存在着用算法MR〓或线性R〓R〓变换攻击成功的弱密钥，用算法ALT攻击失败。

Moreover, the eigenvalue and eigenvector of a linear transformation are also the important topics.

还有线性转换的特徵值、特徵向量等，使学生对向量空间与线性转换有基本的认识。

Brain is a very complex non-linear system, and electroencephalograph and electrocorticogram are also non-stationary and nonlinear in nature, signal processing methods based on linear and stationary assumptions, although has obtained important result, can not grasp the entire picture of neuroscience.

人脑是一个高度复杂的非线性非平稳系统，所以脑电图和皮层脑电图也是非线性非平稳信号，基于线性和平稳假设的分析方法尽管取得了一些重要的研究成果，但是无法对神经系统进行更加深入的解释。

While we are having the electrotechnics classes, we usually take it as a linear circuit, and analyse it with the theory of linear circuit.

日光灯电路是一个非线性电路，而我们上电工课做这个实验时，常把它当成线性电路并采用线性理论来分析它。

The contents of camphora ,mentholum and borneolum in 7 kinds of traditional Chinese rubber electuary medicines were quickly determined by capillary gas chromatography.

采用毛细管气相色谱法对中药橡胶膏剂中樟脑、薄菏脑和冰片的含量进行了快速分离测定，分析周期为 7min ；线性范围为 5 0～ 4 5 0mg /L ，各组分线性相关系数为 0 。9992～ 0 。9995 。

In this paper a new variational method for approximating the semilinear singular parabolic equation is given by using continuous finite elem...

本文利用连续时空有限元法对半线性奇异抛物方程进行了研究，利用线性化方法给出了有限元解的存在性证明和理论误差估计。

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％。