线性

In the height direction the inverse of object's relative height is linear with the that of image's relative height. In the light-knife direction the ratio of object's length to image's length is linear with the object's relative height.

研究结果表明：高度方向上物体相对高度的倒数和像相对高度的倒数成线性关系；光刀方向上物像的长度比和物体的相对高度成线性关系；新的定标方法精度高，操作方便；光刀测量三维物体切口长度精度高、成本低、处理速度快。

Only with such characteristics, the movement equations can be expressed as matrices, and the idea of transforming the movement equations to the simplest form through a nonlinear transformation can be realized;(2) The form of Zi =Yi + YTH2i Y + Y7H3i Y(2)+ Y(2)T H4i Y(2)+ YTH5i Y(3) is adhibited in the nonlinear transformation, so that the multivalued problem caused by the nonlinear transformation is avoided, and the higher order transformation can be taken next;(3) The fourth order nonlinear transformation matrices H21,H31,H41 and H51 are derived, by which the original movement equations of electric power system is transformed to Jodan form in Z space;(4) By use of the fourth order nonlinear transformation, the approximate expression of the stability boundary is obtained, in Z space it is Z1= 0,in Y space it is Y1 + YTH21 Y + YTH31 Y(2)-i- Y(2) TH41 Y(2)+YTH51 Y(3)= 0;(5) The criterion used in this paper to judge whether the system critical unstable is simple and quick;(6) The method used in this paper is a direct method, and no need to construct an energy function.

正是由 于电力系统的运动方程具有这样的特性，才能写成矩阵的形式，通过非线性变换将电力系统的运动方程变换为最简单的线性形式的思想才能得以实现；（2）将通常运用于电力系统暂态稳定性分析的Normal Form变换的形式由 Yi＝ Zi＋ ZTh2riZ变形为 Zi＝ Yi＋YTH2iY＋YTH3iY（2）＋Y（2）TH4iY（2）＋YTH5iY（3），从而使得在对持续故障轨线实施同样的非线性变换以确定临界切除时间时，避免了非线性变换带来的多值性的问题，而只有在没有多值性问题的困扰下，才能采用较高阶的变换：（3）推导出了将原始电力系统系统的运动方程变换到Z空间的约当形式的非线性变换矩阵H21、H31、H41、HS1：（4）在运用四阶了「线性变换的情况下，给出了受扰动后系统的稳定边界的近似的解析表达，在Z空间为Z1=0，在y空间为： Y1+YTH21Y+YTH31Y(2)+Y(2)TH41Y(2)+YTH51Y(3)=0 （5）确定临界失稳的判据简单、快捷：对于一个复杂的电力系统，其稳定边界是相当复杂的一个高维曲面，即便是已知系统稳定边界的解析表达，要求出系统持续故障轨线何时与这一高维曲面相交，在数学上几乎是不可能实现的。

Moreover, due to the fine analyses of localization length and the Fourier components, the discrete breathers close to the edge of linear spectrum have some similarities and relevances with linear plane wave solutions of the system.

通过对离散呼吸子解的局域化程度和Fourier分量的细致研究显示出在弱非线性情况下，线性谱附近处离散呼吸子解和线性平面波解的相似性和连续性。

There were still many unknowns in methanol extracts of yams and bulbils and need to be elucidated in the future.

二者间呈线性相关，线性方程式为Y=0.4499X+2.3785，相关系(r2)为0.8630，显示酚类化合物可能为提供山药零余子清除DPPH自由基能力的重要成分之ㄧ。

In Chapter 4 a new method to determine carbaryl in effluent was given and the hydrolysis of carbaryl in effluent with the aid of three-order calibarion was studied.

第四章应用四线性平行因子分析方法检测了农业污水中西维因的含量，同时利用四线性分解的优势，同时对其水解过程进行研究，得到了满意的结果。

We find the linear Introduction-Background-Method-Results-Discussion structure, complicated with cyclicity.

研究发现，英汉语言学语域的学术论文的宏观结构以引言(In-troduction)-背景（Background，或称文献综述）-方法-结果-讨论的线性结构为主线，在语篇推进过程中又出现步骤的循环，是螺旋式和线性有机结合的复合结构。

The results showed that except pods of main inflorescence, the other characters of the sterile and normal cytoplasms had not significant difference by t test. The correlation coefficients of length of main inflorescence, No. of first time branches and glucosinolates between sterile and normal cytoplasms was at 5 percent significant level, but correlation coefficients of the others was not significant. There were positive effects of male sterile cytoplasm on glucosinolates and weight of 1000 seeds, but different effects on the other characters when combinations were different.

结果表明：考察的12个主要性状中，除主序角果数不育胞质杂种F1和可育胞质杂种F1检验差异达5%显著水平外，其余11个性状2种胞质杂种F1上标 t检验差异不显著；主序有效长、第一次分枝数、硫苷等3个性状的可育胞质与不育胞质间线性相关关系显著，其余9个性状的线性相关关系不显著；NEA不育胞质对多数组合的硫苷和千粒重有优良相对效应，对其余性状的相对效应则组合不同正负效应不同。

Transient signals to be restored can be expressed as a linear combination of wavelets whose weight coefficients, dilations and shifts are calculated by the conjugate gradient algorithm in terms of the least mean squared energy criterion.

该方法将要复原的瞬态信号表示成一组子波函数的线性组合，在最小均方能量准则下，用共轭梯度算法求解子波函数的线性组合的幅度、尺度和延时参数。

BCBBs are designed for not only symmetric linear arrays but also asymmetric linear arrays, are arrays and circle arrays. The BCBBs designed are tested by LFM signals, and the results show that the BCBBs achieve good quality. The word length of the filter efficients are studied from the view of engineering implementation. It is shown that using 8 bits can satisfy the requirement. Multi-beam BCBBs with 2 degree beamwidth in two octave and 1/3 octave frequency band are designed and tested for a specified array.

设计好的宽带恒定束宽波束形成器用线性调频信号进行了检验，证明了其正确性；从工程实际的角度出发，研究了滤波器系数字长对系统性能的影响，研究表明采用8位的滤波器可以满足要求；结合实际课题，在深入分析阵形结构特征的基础上，分别设计了倍频程和1/3倍频程多波束宽带恒定束宽波束形成器，并通过线性调频信号进行了验证，为其工程实现打下了良好的基础。

To demodulate the OFDM signals accurately, channel estimation algorithms are adopted. This paper examines the slow-fading estimation algorithms based on block pilot arrangement: LS and LMMSE algorithms, as well as the fast-fading channel estimation algorithms based on comb-type pilot arrangement: linear and transform domain interpolation algorithms.

本文分析了导频分布的两种方案：1块状导频分布，对基于块状导频分布方案的慢衰落信道估计算法：最小平方和线性最小均方误差算法进行了计算机仿真，比较了二者的估计性能，以及各自的优缺点；2梳状导频分布，对基于这种分布方案的快衰落信道估计算法进行了研究，对两类经典算法：线性插值法和基于变换域的插值法分别进行了理论分析和计算机仿真。

And Pharaoh spoke to Joseph, saying, Your father and your brothers have come to you.

47：5 法老对约瑟说，你父亲和你弟兄们到你这里来了。

Additionally, the approximate flattening of surface strip using lines linking midpoints on perpendicular lines between geodesic curves and the unconditional extreme value method are discussed.

提出了用测地线方程、曲面上两点间短程线来计算膜结构曲面测地线的方法，同时，采用测地线间垂线的中点连线和用无约束极值法进行空间条状曲面近似展开的分析。