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In the first part, we will first deal with the strong Bonnesen-style inequality (2.1.3) for closed convex curves in the plane (the numbers of formulae and references are those of them in the context below). Bonnesen had first proved the weaker inequality (2.1.2) in [12] and several years later, he outlined in his monograph [13] various Bonnesen-style inequalities including (2.1.3), he considered, however,(2.1.3) as a direct consequence of Kritikos theorem for convex bodies in higher dimensional Euclidean spaces,. Here, we will give an independent proof of the existence for inequality (2.1.3), and by the way, give an estimate on the width of the bi-enclosing annulus of closed convex curves in the plane.

具体地讲，在第一部分中，首先讨论平面上闭凸曲线的强Bonnesen型不等式(2.1.3)(公式的编号和参考文献的编号引自后面的正文)，Bonnesen在文[12]中先证明了较弱的不等式(2.1.2)，几年以后，在他的著作[13]中，讨论了多种Bonnesen型不等式，其中包括不等式(2.1.3)，不过，他把(2.1.3)作为高维欧氏空间中凸体的Kritikos定理的直接推论，我们这里对不等式(2.1.3)给出独立的存在性证明，并且还对平面闭凸曲线的bi-enclosing环的宽度给出了一个估计。

Conversely, in terms of the correspondence between the pure state and the maximal left idea, we get that if each hereditary C(superscript *)-subalgebra (or one-sided closed ideal) of A is a closed ideal in A, then A must be Abelian.

反之，利用C-代数A上的纯态与A中极大左理想的对应关系，得到了：若A中的每一个遗传子代数都是它的双侧闭理想，则A一定是交换的。

If A is Abelian, then each hereditary C(superscript *)-subalgebra (or one-sided closed ideal) of A is a closed ideal in A.

对于交换的C-代数，它的每一个遗传子代数都是它的双侧闭理想。

We study the Dirac structures on protobialgebroid, give the integrable conditions for maximally isotropic subbundle being Dirac structure for protobialgebroid by the notion of characteristic pair. From the integrable conditions, we found out that Dirac structure has closed relations with twisting of protobialgebroid. Further, the closed relations are explained, the fact that twisting of protobialgebroids is a equivalence relation is verified.

详细研究了proto双代数胚匕的Dirac结构，给出了极大迷向子丛可积的充要条件，发现在这些充要条件中蕴含了proto双代数胚的扭关系，进一步阐明了扭与Dirac结构之间的内在联系，证明了扭在proto双代数胚范围内是等价关系。

The evolutionary game theory has been used by more and more economists and sociologists to explain and predict the behavior of groups of the participated people.So this method can effectively fill the existing closed-loop supply chain theory of the lack of research as a closed-loop supply chain,and as a new method of coordination.

而演化博弈理论这种被越来越多经济学家和社会学家应用于解释、预测参与人群体行为的经济学理论方法，可以有效弥补现有闭环供应链理论的不足，作为研究闭环供应链协调的新方法。

The use of temperature control through the transformation of the main pressure control for variable frequency control Shop for closed-loop motor pumps, water pumps, electric power saving rate of the average at more than 30%; 90KW chilled water pump motor current by adjusting the valve at the changes between the 163-148A, the average section less than 6% of electricity by the transformation of the closed-loop control of VVVF, the saving rate is more than 30%.

通过改造采用温度控制为主，压力控制为铺进行闭环变频控制水泵电机，水泵电机平均节电率都在30％以上；90KW冷冻水泵电机靠调节阀门电流在163—148A之间变化，平均节电不足6％，经闭环控制变频调速改造后，节电率平均也在30％以上。

By generating the closed form "triangular" Groebner Bases, the closed form symbolic solution has been obtained. An example of synthesis of planar rigid body guidance is given to demonstrate the strategy and efficiency of the method.

在生成该系统的封闭形式的"三角化"的Groebner基的基础上，求出了问题的封闭形式的符号解，以平面铰链四杆机构的刚体导引综合问题为例，说明该方法的思路及有效性。

Firstly, velocity expression of translational parallel manipulator was presented based on the screw theory. Secondly, the actuated screw, the actively unactuated screws and idle screws of each limb were determined according to the reciprocal screw theory. Then, all basic kinematic chains were enumerated by means of the number of limb connectivity and the limbs containing closed-loops were obtained by replacing the passive prismatic joints in the basic kinematic chains with planar closed-loop structures.

首先基于螺旋理论给出移动并联机构的速度表达式，然后根据互易螺旋理论确定出分支的主动螺旋、可动非主动螺旋和惰性螺旋，再依照分支连接度的不同列举出所有可行的基本分支运动链，并通过运动副替换得到分支中含有闭回路结构的运动链，最后利用所综合出的支链按照主动副的配置要求将动平台和静平台连接起来即可实现预期的机构。

In order to make the new recursive method convergence fast, the RLS-like forgetting factor is introduced to construct the new data Hankel matrices. In the framework of subspace methods, the gradient type subspace tracking method is used to implement the update of the state subspace, which results the unbiased estimate. Different from traditional offline method, the system matrices are recursively computed using RLS method. The convergence analysis of the proposed method is given and finally, the efficiency of this method is illustrated with a simulation example.A new closed-loop identification method is proposed to implement consistency estimation of closed-loop subspace identification.

引入RLS-like遗忘因子机制构造新的数据矩阵，更好地跟踪系统时变信息，提高递推算法的收敛速度；在子空间辨识框架内，采用梯度型子空间跟踪算法实现对状态子空间的更新，避免了子空间近似带来的估计有偏性；与传统的离线算法不同，在得到系统状态子空间后，基于递推最小二乘方法提出新的算法，实现对系统矩阵的递推估计；并给出递推子空间辨识算法的收敛性分析；最后通过仿真实例验证算法的有效性。

Closed loop wavefront residual error of adaptive optical system consists of the uncompensated turbulence error and closed loop noise.

采用比较自适应光学系统闭环校正前后时间功率谱的方法，对自适应光学系统的波前校正残余误差进行了分析。

Objective: To study the effect of polycythemia on blood oxygen saturation.

裴蕾目的：观察RBC剧增而引起的高粘血症对血氧饱和度的影响。

Based on SIMPLER algorithm in the curvilinear body-fitted coordinates, the calculations were performed for Pr=0.7, Re=10~1000 on non-orthogonal non-staggered grids which are generated by elliptic equation systems.

采用曲线坐标系下压力与速度耦合的SIMPLER算法，数值研究了周期性渐扩渐缩波纹通道内脉动流动与换热情况，流动Re数的范围为10~1000，Pr数为0.7。