查询词典 linear independence

Acceleration sensitivity, which determines the noise level of sensing array induced by cable dithering and towing instability, as a result of the special working scheme, circumstance and structure installation of the towed linear array, is a key parameter of the fiber optic hydrophone for the towed linear array application. Therefore, the reduction of FOH acceleration sensitivity is important for the towed linear hydrophone array to achieve an excellent performance.

拖曳线列阵的工作方式、环境条件和结构安装等特点对光纤水听器的性能提出了许多特殊的要求，特别是加速度灵敏度，它关系到拖曳线列阵声纳能否有效地抑制由拖缆抖动及拖曳力变化等引起的振动噪声的干扰，因此降低拖曳线列阵用光纤水听器加速度灵敏度是光纤水听器拖曳线列阵系统性能的重要保障。

Aerotech positioning stages range from economical ball-screw and gear-driven linear and rotary stages to the highest performance direct-drive linear and rotary stages available; linear-motor-based Cartesian gantry systems; single and multi-axis air-bearing systems; and our complete range of nanopositioning stages.

再往上一层，Aerotech提供精密的运动平台，从精度为micron等级的线性马达平台，直驱马达平台，自精度等级为sub-micron的空气轴承平台均有提供，最近更推出ANT系列长行程奈米定位平台，提供丰富的产品线。

First of all,we have given some of the basic concepts of differential equations, described the constant coefficient linear ordinary differential equation solution, for a class of second-order variable coefficient linear ordinary differential equation initial value problem, an approximate solution, the method is first unknown function of a definition for N sub-interval, and then in between each district within a constant coefficient ordinary differential equations similar to the replacement, the solution has been the problem as similar to the original analytical solution, and then gives a detailed second-order change order coefficient of linear homogeneous ordinary differential equation solution examples, the examples of the approximate method proposed in this paper is valid.

首先给出了微分方程的一些基本概念，讲述了常系数线性常微分方程的解法，针对一类二阶变系数线性常微分方程初值问题，提出了一个近似解法，本方法是先对未知函数的一个定义区间作N等分，然后在每一个小区间内用一个常系数常微分方程近似替换，所得到的解作为原问题的近似解析解，随后详细给出了一个求二阶变系数齐次线性常微分方程的解的实例，该实例说明本文提出的近似方法是有效的。

The model is usually an inhomogeneous system of linear equations. It is pointed out that the general solution of the homogeneous system of linear equations can satisfy the request of making the wires tight, and the special solution of the inhomogeneous system of linear equations are not smaller than zero, so their sum is greater than a given mumble.

由于多自由度绳牵引并联机构的静力学模型一般是一个非齐次线性方程组，本文指出可让对应齐次方程组的通解的最小值满足绳保持张紧的条件；让非齐次线性方程组的特解非负，而避免利用对应齐次线性方程组的通解保证非齐次线性方程组的解不小于给定的最小值。

ABSTRACT Aiming at problems of trans-vector controller in a vehicle-carried induction motor such as variable rotor and stator resistance following motor temperature, and their inductance varying with flux saturation degrees. Firstly, CSI and VSI are introduced, for CSI, it can hold the advantages both FOC and DTC using stator flux directional, PI parameter and simulation are also introduced. Secondly, equations of IM in the synchronous rotary frame and its static counterpart, as figuring in the saturation condition of magnetic field, are dealt in this paper and the simulation results are presented. Thereafter, the parameter designing of PI trans-vector controller is processed, which features the non-linear model. In practical realization, as neglecting the dynamical change of motor inductance, this paper employs online modification of inductance parameters, according to the flux saturation, then transforms the non-linear equations into linear ones, and so compacts the structure of controller. Thirdly, in view of the maximum torque output is extraordinary requisite when Electrical Vehicle start up, accelerate, and overtake, this paper issues the maximum torque when both inverter and battery capacity is corporeally definite. Fourthly, on-line differentiating and analyzing both rotor's time constants and its flux by using the expanding order reduction and discrete Kalman filter equation are fathomed, in order to realize high-performance trans-vector algorithm, and also the simulation results are presented. Fifthly, the close-loop regenerative brake system, when the EV's torque is set constant, is deduced; at the same time, unification of electric drive model and brake model is executed. Combined with maximum charge current demands, the mathematical model for online yielding torque as a demand.

本论文针对车载异步电机在矢量控制器所遇到的问题：定转子电阻随温度变化及随电机饱和程度变化的转子电感及定子电感而影响电机调速性能提出一套完整的解决方案：分析了电流型逆变器和电压型逆变器在实现矢量控制时控制器参数的计算，分析出对于电流型逆变器在采用定子磁场定向时，其性能同时具有矢量控制和直接转矩控制两者的优势，并对电压型逆变器在转子磁场定向下的模型进行了仿真研究；建立异步电机非线性模型，推导出考虑磁饱和时异步电机在同步旋转坐标系及静止坐标系下的方程，并做出了仿真结果，建立异步电机在非线性模型下的矢量控制调节器的PI参数设计，在实际应用中，若忽略电机电感的动态变化，可以根据当前的磁路饱和状态而在线修正电感参数，从而将非线性方程线性化，降低控制器的复杂度；考虑到电动汽车在起动和加速超车时需要电机有最大转矩输出，本文讨论在逆变器容量一定和电池供电能力有限的情况下电机最大转矩输出问题；推导了异步电机扩展降阶、离散卡尔曼滤波方程在线辨识转子时间常数和转子磁通，用于实现高性能的矢量控制算法，并给出了仿真结果；推导出了电动汽车恒转矩给定的闭环回馈制动系统，实现了电动控制模型和制动模型的统一，而且结合铅酸电池最大充电电流的要求，为制动转矩在线给定建立了数学模型；设计了基于双DSP系统的高性能矢量控制器软硬件框图，并以大量实验数据说明矢量控制在电动汽车应用的实际应用状况。

Firstly a proper unstable linear system satisfied shilnikoc inequation is selected. Then shift transformations of the linear system are implemented and the phase space is divided into several parts by a series of cross-plane. Finally the needed multi-scroll piecewise linear chaotic system is constructed.

首先选取满足Shilnikov不等式的不稳定线性系统，然后对该系统进行平移变换，并以相交平面为分界而对相平而进行划分，最后得到所需的多涡卷分段线性混沌系统。

Content of the course consists of:(1)Basic Theories of Polynomials ;(2)Linear Algebra: topics on basic matrix theory, determinant, system of linear equations, vector space, linear transformation, eigenvalue problems, inner product and Euclidean space , and quadratic form etc.;(3) Analytic Geometry: topics on algebraic operations of vectors, coordinates, lines and planes, curves and curved surfaces, etc.

学习本课程后，学生应学会用线性空间与线性变换的观点处理包括线性代数方程组在内的有关理论与实际问题；学会熟练地运用矩阵工具；本课程还学习基本的多项式知识和空间解析几何的基本知识。课程内容包括几个主要部分：（1）多项式代数；（2）线性代数：矩阵，行列式，线性代数方程组，向量空间与线性变换理论，特征值问题，欧氏空间理论，二次型等；（3）解析几何：几何空间向量代数，通过建立坐标系以及借助向量方法研究空间平面与直线及点﹑线﹑面的相互关系，借助曲面方程研究空间曲面，尤其是柱面，锥面，旋转面和二次曲面以及曲面的交线等。

Generally considered non-linear integer programming can be divided into linear and integer part, so often Integer linear programming as a special part.

一般认为非线性的整数规划可分成线性部分和整数部分，因此常常把整数规划作为线性规划的特殊部分。

This invention relates to a DC linear motor digital controller including a central processor circuit, a data memory, a program memory, an A/D conversion circuit, a D/A conversion circuit, a linear shift orthogonal code pulse signal circuit, a signal isolation circuit, among which, the center processor circuit is composed of a special DSP chip controlled by the motor, a complicated programmable logic device CPLD combining with a peripheral expanding circuit, said digital controller fully utilizes the motor to control the special DSP chip to integral DSP kernel CZXLP and the rich external circuit in a single chip to make up of a digital controller for controlling high frequency response DC linear motor with small volume, low dissipation and high reliability.

高频响直流直线电机数字控制器，属于电机自动控制技术领域，目的在于获得快速、高精度往返运动的控制效果，实现高频响直流直线电机的精密位置跟踪控制功能。本发明包括中央处理器电路，数据存储器，程序存储器，A/D转换电路，D/A转换电路，直线位移正交编码脉冲信号电路，信号隔离电路；中央处理器电路由一个电机控制专用DSP芯片，复杂可编程逻辑器件CPLD，结合外围扩展电路组成。该数字控制器充分利用电机控制专用DSP芯片将高性能DSP核C2xLP和丰富的功能外设电路集成在单个芯片上这一特点，构成了一个体积小、功耗低、可靠性高和功能比较齐全的高频响直流直线电机控制用的数字控制器，使系统的整体成本大大降低。

This paper studies the properities of weakly invertible Linear finite automata through zero state,and obtains some results of weakly invertibility of Linear finite automata and description of the minimal linear finite sub-automata.

通过零状态研究了线性有限自动机的一些性质，得到了线性有限自动机弱可逆的一些结果，并给出了最小线性子有限自动机的描述，最后给出了算法实现。

Liapunov—Schmidt method is one of the most important method in the bifurcation theory.

Liapunov—Schmidt方法是分叉理论的最重要方法之一。

Be courteous -- even when people are most discourteous to you .

要有礼貌──即使当別人对你最不礼貌的时候。