查询词典 linear independence

The permanent magnet synchronous motor is decoupled into second-order linear speed subsystem and first-order linear flux subsystem. The aim space voltage vector is ascertained by combining sector judgment of stator flux with the practical system inputs after linearization and decoupling. The system is decoupled into two linear subsystems, flux and rotor speed, which realizes the completely dynamic decoupling for permanent magnet synchronous motor speed control system.

将永磁同步电机动态解耦成二阶线性转速子系统和一阶线性磁链子系统，结合磁链扇区判断方法和线性化解耦后的实际系统输入来确定目标空间电压矢量，实现了永磁同步电机调速系统的转速和磁链动态解耦控制。

Results There was a linear trend between logarithmic X and Y, the equation of logarithmic curve was able to be fitted, There was a linear trend between logarithmic Y and X, the equation of exponential curve was able to be fitted, There was a linear trend between logarithmic X and logarithmic Y, the equation of power curve can be fitted. There is a parabola pattern between X and Y, the equation of parabola was able to be fitted.

结果 X取自然对数与Y作散点图有直线趋势，拟合对数曲线方程；Y取自然对数与X作散点图有直线趋势，拟合指数曲线方程；X取自然对数与Y取自然对数作散点图有直线趋势，拟合幂函数曲线方程；原始数据X和Y成抛物线关系，拟合抛物线方程。

The structural and mechanical properties of ring-spun yarn have been studied comprehensively. The relationships between yarn linear density, yarn twist, and the relative yarn structural and mechanical properties have been obtained. Through statistical analysis of yarn linear density, twist, and strength of 200 groups of pure cotton yarn, and considering some influence factors, such as carded or comed, application of long-staple cotton, experiential functions of yarn relative strength with yarn linear density and twist have been obtained.

对环锭纱结构力学性能进行系统研究，得出环锭纱的相关力学性能参数与纱线线密度和捻度的关系；通过对从工厂收集的200组纯棉纱线线密度、捻度、强力等数据的统计分析，并综合考虑纱线线密度、是否精梳、是否使用长绒棉等因素，得出了线密度和捻度与纱线强力相对值的经验函数关系。

CNC machine only to the general linear and circular interpolation, and other curves (such as becoming more open lines) with mathematical method linear and circular approximation, linear and circular interpolation can be special machine outside the curve.

一般数控机床仅对圆弧和直线插补，其它曲线用数学方法，采用直线和圆弧逼近，特殊机床可插补直线和圆弧外的曲线。

The second order mathematical models of inverted pendulum system are expatiated in this paper based on the theory of LQOC(Linear Quadratic Optimal Control), LQY(Linear-Quadratic Yield) controller and LQR(Linear-Quadratic Regulator) are designed to make the inverted pendulum system closed loop stable.

针对倒立摆的稳定控制问题，阐述了二阶倒立摆的数学模型，采用线性二次最优控制理论，设计了倒立摆控制系统的线性二次型调节器和线性二次型输出器，使倒立摆系统闭环稳定。

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。

Now she was hungry and angry.She began to smoulder.

现在她又饿又气，她开始流露难以抑制的怒火。

You have placed our iniquities before You, Our secret sins in the light of Your presence.

诗90：8 你将我们的罪孽摆在你面前、将我们的隐恶摆在你面光之中。