查询词典 linear

Various vectors have also their different linear properties, for example: position, velocity, force, electromagnetic potential etc., are 1-linear; moment of momentum, moment of force, electromagnetic intensity, etc., are 2- linear.

各种矢量还有它们不同的线性，例如：位置、速度、力、电磁势等等，是1-线的。动量矩、力矩、电磁场强度等等，是2-线的，2-线矢又是两个不同1-线矢的叉乘积。

To develop the missile quasi-linear model, a state space model is established for missile dynamics, and function substitution method is used to describe the nonlinear dynamics of missile as linear combinations of functions of given time-varying parameters. With the minimizing variation range of model parameters over the whole design envelope as the optimum aim, linear programming optimum arithmetic is used to determine the model parameters at selected grid points.

为了建立导弹准线性化模型，将导弹动力学描述为状态空间形式；采用函数替换方法将导弹的非线性动力学描述为关于特定时变参数的函数的线性组合形式；以整个设计区间内模型参数变化范围最小为优化目标，采用线性规划优化算法确定了所选网格点上的模型参数。

Firstly, the three-dimension boundary question and its corresponding variation question concerning the point-source electrical field on a 3-D structure are presented. Secondly, the finite element method is used to solve the variational equation. The study area is divided into many tetrahedral elements. Then, we interpolate with a tri-linear function in each element. So, the variational equation is converted into a linear equation system. Finally, taking into account saving of time, we make use of symmetric successive overrelaxation preconditioned conjugate gradient algorithm to solve large linear system, and obtain the potential value of each node, resulting in the calculation of the apparent resistivity values on the ground surface.

首先给出了三维构造中点源电场的边值问题以及相应的变分问题；然后利用有限单元法求解变分问题，采用四面体单元对研究区域进行剖分，在单元中进行三线性函数插值，将变分方程化为线性代数方程组；最后，考虑到节约计算时间，利用对称超松弛预条件共轭梯度迭代算法求解大型线性方程组，得到了各节点的电位值，进而计算出地表的视电阻率。

Therefore, it is necessary to study these parallel problems. For the linear register systems, this paper presents a (1, N) parallel method with uniform calculating formulas by using the method of matrix equations, and studies to simplify XOR circuits. Comparing with the existing parallel methods for linear shift registers, this method for linear register systems doesn't need to expand the transition matrix, and has the same calculations for arbitrary N, which reduces the complexity.

对一般的线性寄存器系统，本文应用向量矩阵方程的研究方法提出了一种通用的、具有统一计算公式的(1， N)并行方法，研究了其中异或电路的化简，相对于已有的线性移位寄存器的并行方法而言，本文提出的方法不需要扩展矩阵，对任意的N计算公式均是统一的形式，减少了问题复杂性，具有更广泛的应用范围。

Linear differential equations of the principle of superposition theory of linear differential equations play an important role, especially in solving linear differential equations of the nature and structure of play to solve the problem of reducing the complexity and difficulty of the role.

请帮忙翻译一下摘要，跪谢线性微分方程解的叠加原理在线性微分方程理论中占有重要地位，尤其是在解决线性微分方程解的性质和结构问题中起到了降低解决问题的复杂度以及难度的作用。

Secondly, the problem of linear prediction for Qy in the original model and its transformed model is considered, the notion of linear sufficiency and the problem of comparison of linear models with respect to prediction problems are proposed and the corresponding necessary and sufficient conditions for the transformation to be linearly sufficient and for one model to be superior over another are given, respectively.

其次，我们讨论了原始模型和变换模型下Qy的线性预测问题，提出了在该预测问题意义下的线性充分性和模型比较的概念，分别给出了变换Fy是线性充分的、以及一个模型优于另一个模型的充分必要条件，此外还得出了一些特殊结论。

The basic characteristic of the linear model is the unknown parameter of the model is linear and it also includes the linear random error.

线性模型的基本特征是，模型的未知参数是线性的，同时又线性的包含了随机误差项。

The optical element comprises: a plurality of rectangular prisms for dividing linear visual field, and is characterized in that the effective work area of each rectangular prism is a linear narrow slit, which can perform visual field division of the light beam from a long linear geographical object and turn the divided visual field into separate light beams for the rational space arrangement of the subsequent optical elements.

光学组件包括：用于分割线型视场的多个直角棱镜，其特征在于：各直角棱镜中的有效工作区域均为一线型窄缝，可将长线型地物目标光束按需要进行视场分割，并将各分割后的视场形成空间分离的光束，以便于后续光学组件的空间合理排布。

In chapter two, we analyzed the methods for single linear Diophantine equations: Rosser algorithm and Fortenbacher algorithm; the methods for linear Diophantine equations: EMAS algorithm and Contejean algorithm.2. In chapter three, the DLU and IILX algorithms for linear Diophantine equations are given based on the ABS algorithms.

第三章在ABS算法的基础上给出了求解线性丢番图方程组的整隐式LU算法和整隐式LX算法，讨论了相应的ABS性质，并讨论了复杂性分析及其应用。

Using the properties of base solution vectors of the linear restriction equations, a condition to maintain the same discriminant result between the sampled observations of changed and unchanged was obtained: the disturbed row vector of sampled observations was satisfied all linear equations whose coefficients were the base solution vectors of linear restriction equations.

利用约束条件方程组基础解向量的性质得出了使数据变化前后的判别分类结果保持不变的条件：数据扰动行向量必须满足所有以约束条件方程组的基础解向量为系数的线性方程组。

Cynanchum Lingtai apricot production in the average weight 65 grams, the brightly-colored fruit, juicy rich, sweet-sour taste, sweet from the nucleolus, when the late Qing Dynasty famous Shaanxi, Gansu provinces, the Qing imperial court Tongzhi tribute for years.

灵台生产的牛心杏平均单果重65克，果实色泽鲜艳，汁多味浓，甜酸适口，离核仁甜，清末时就驰名陕、甘两省，清同治年间曾为朝廷贡品。

Chenopodium album,Solanum nigrum, and Amaranthus retroflexus were very susceptible to the herbicides. Polygonum persicaria and Abutilon theophrasti were relatively less susceptible to the herbicides, and Lycopersicon esculentum was not susceptible to it. The relationship between reduction rates of weed biomass and PPM values of weed leaves 2,4, and 6 days after treatment was established.

供试的6种杂草对该混剂的敏感性存在显著差异：红心藜Chenopodium album、龙葵Solanum nigrum和反枝苋Amaranthus retroflexus对该混剂最敏感，ED90值分别为47.65、71.67和29.17g/hm2；春蓼Polygonum persicaria和苘麻Abutilon theophrasti敏感，ED90值分别为96.91、114.20g/hm2；而番茄不敏感。