解空间

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To begin with,the existence and uniqueness of the nonnegative solution of the system is obtained by use of the Volterra operator equation in a Banach space and elementary techniques.

利用Banach空间下的Volterra积分方程，运用初等方法首先证明了该系统非负解的存在唯一性。

Based on the method of multi-objective fuzzy optimization and the overhead traveling crane design, a mathematical model of fuzzy optimization for main box beam section is established. A fuzzy goal anthology is constructed. The fuzziness of multi-objective function and constraints is defined. The transformation of the fuzzy constraints set to normal constraints set in real number domain is realized by applying optimal level cut set method. The optimal solution and optimal constraint value of sub-objective function in the feasible field are found using the genetic algorithms.

应用多目标模糊优化方法，以工程设计中桥式起重机箱形主梁设计为实例，建立了桥式起重机箱形主梁多目标模糊优化设计的数学模型，构造了模糊目标集，确定了多目标函数的模糊性和约束的模糊性，并应用最优水平截集法实现了模糊约束到实数论域上的集合转换，从而用遗传算法寻求到子目标函数在可行域空间的最优解和约束最优值。

The stability and convergence of the fully discrete solutions are proved and the convergence order is also given.

从数值实验上也验证了该算法的可行性和高效性，对非定常N-S方程提出了一种新的全离散TGM：空间离散用标准FEM，时间离散用Crank-Nicolson格式，证明了全离散解的稳定性与收敛性。给出了收敛阶。

Applying the triangular element to the stationary Stokes equation, we obtain error analysis and optimal convergent order of approximation solution.

对于各向异性三角形元和各向异性四面体元，我们分别讨论了它们的各向异性插值，将它们应用于定常Stokes方程，我们研究了有限元空间不满足散度条件的各向异性非协调有限元解法，同样得到了逼近解的误差分析和最优收敛阶。

Direct torque control is another high performance control technique of AC motor, it discard the decouple idea of vector control, but adapt flux oriented control and transient space vector theory, directly control stator flux and torque, it has the advantage of rapid torque response and less relying on stator parameters, but has the disadvantage of bigger torque ripple.

直接转矩控制技术是继矢量控制技术之后的又一种交流电机高性能控制技术，它摈弃了矢量控制中解耦的控制思想，采用定子磁链定向和瞬时空间矢量理论，直接对电机定子磁链和转矩进行控制，具有转矩响应快、对电机参数依赖小的优点，但它的不足之处就是存在转矩脉动。

The representation of all the solutions for the equation Lv=f is obtained through constructing a standard orthogonal basis of null space N.

通过构造零空间的一组标准正交基，得到了线性算子方程Lv=f的所有解的表达形式。

The started-point is the semi-classical and quantum SRS theory.Withdifferent boundary and initial conditions which corresponding to differentexperimental conditions,the equations were solved in a special space(with givendimension,orthogonality and transferring relation).

论文力图在这些方面作些尝试，其基本出发点以受激拉曼的半经典与量子理论为基础，不同的实验条件给出不同的边界条件和初始条件，在不同的空间(不同的维数，不同正交特性及变换关系)中求得具体的解。

The close loop equation is used for the positional posture analysis of the output piece of space 3-RPS parallel mechanism and the forward displacement of the mechanism is educed to acquire the positional posture of output piece.

应用闭合回路方程法对空间3-RPS并联机构的输出件的位姿进行分析，推导出该机构的运动学正解，获得了输出件的位姿，给出该机构位姿分析的数值仿真实例。

This paper stated the application of parallel link mechanism in modern machine tools,set up the error analysis as to parallel link mechanism in the virtucal-axis machine tool,derived the double triangular error equations of parallel link mechanicsm in its horizontal posture,analyzed the linearity and non-singularity of the error equations,thus giving the normal splution to the horizontal posture error.

该文对并联机构在现代机床上的应用作了论述，建立了虚拟轴机床并联机构的一种误差分析方法，应用坐标变换原理导出了双三角并联机构水平姿态时的误差方程组；分析了误差方程组的线性和非奇异性，给出了水平姿态时的位姿误差正解；对工作空间中心线的误差分布规律进行了仿真，绘制了其误差分布曲线。

As she looked at Warrington's manly face, and dark, melancholy eyes, she had settled in her mind that he must have been the victim of an unhappy attachment.

每逢看到沃林顿那刚毅的脸，那乌黑、忧郁的眼睛，她便会相信，他一定作过不幸的爱情的受害者。

Maybe they'll disappear into a pothole.

也许他们将在壶穴里消失