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We have obtained the following main significant results:(1) A master constraint operator for LQG is constructed, which is shown to be self-adjoint in the diffeomorphism invariant Hilbert space. Thus it lays a foundation for the master contraint programme in LQG;(2) The Immirzi parameter ambiguity in LQG is fixed by introducing supersymmetry, which leads to the conclusion that in the case where matter fields are coupled LQG might prefer supersymmetry in low energy;(3) The current accelerating expansion of our universe is successfully explained in the context of 5-dimensional Brans-Dicke theory, which gives a natural strategy to solve the dark energy problem.

重要成果包括：(1)构造出圈量子引力的Master约束算符，并证明了其自伴性，从而为应用Master约束方法解决量子动力学的难题奠定了基础；(2)通过引入超对称合理地固定了Immirzi参数，得出了在与物质场耦合的低能情况下圈量子引力可能偏爱超对称的结论；(3)用五维Brans-Dicke理论成功地解释了当今宇宙的加速膨胀，从而给出了一个自然解决暗能量问题的方案。

This paper gives the probabilistic interpretation for one system of the second order quasilinear parabolic partial differential equations combined with an algebra equation using fully coupled forward-backward stochastic differential equation.

本文利用完全耦合的正倒向随机微分方程，对一类耦合了一个代数方程的二阶拟线性抛物型偏微分方程系统，给出概率表示。

The chip size is 1.15mm×0.75mm with a phase detector using Gilbert cell and a differential ring voltage controlled oscillator using cross-coupled negative resistance.

芯片采用吉尔伯特结构的鉴相器和交叉耦合负阻差分环形压控振荡器，总面积为1.15mm×0.75mm。

We fit the anisotropic interaction potential based on the Murrell-Sorbie potential function for He-HCl system by applying the interaction energy data, which are calculated at the theoretical level of the single and double excitation coupled-cluster method with noniteractive perturbation treatment of triple excitation CCSD. The new potential model is compared with other potential models. The differential scattering cross sections for collisions between He atoms and HCl molecules are calculated by using CC (Close-Coupling) method. Furthermore, the changing regularity of the inelastic differential scattering cross sections is summed up.

根据在CCSD/aug-cc-pVQZ理论水平下计算的He-HCl相互作用能数据，作者采用Murrell-Sorbie势函数形式拟合了He原子与HCl分子相互作用的各向异性势，并与其它势模型进行了比较；然后采用公认的精确度较高的CC近似方法计算了He-HCl碰撞体系的微分散射截面，总结了非弹性微分散射截面的变化规律。

The differential and integral reactive scattering cross sections for the H(superscript +)+D2(v=0, j=0) reaction have been studied by a coupled-channel hyperspherical coordinate method in an ab initio potential energy surface.

基于ab initio势能面，用耦合通道超球坐标理论研究了碰撞能等于0.5eV时H+D2(v=0， j=0)的积分，微分截面。

The output tuning range was 1810MHz~1930MHz, and the LCVCO used cross-coupled complementary full differential topology with switching capacitor array to cover frequency band, which could lower the VCO gain in each single band and further lower the whole PLL's phase noise performance.

LCVCO的输出频率范围满足1810MHz~1930MHz，采用交叉耦合互补全差分结构和开关电容阵列，实现多带覆盖所需频率范围，降低了单带VCO增益，进而降低了整体相位噪声。

The factors which influence holography diffraction efficiency, the angle selectivity of volume holography and wavelength bandwidth are analyzed with the coupled wave theory.

利用耦合波理论分析了影响体积全息图的衍射效率的因素、体积全息图的角度选择性以及波长带宽等方面。

Due to the numerical aperture of DVD pickup is large, and the characteristic size is small, the error of scalar diffraction theory is very large. The in-depth research work on vector diffraction of optical disc was carried out. The optical disk model was analyzed use the rigorous coupled wave theory, and some significative conclusion was obtained. These conclusions can use for guidance of scheme designing of optical pickup.

针对DVD读取头光学系统数值孔径大，光盘特征尺寸小，标量衍射理论误差大等缺点，采用矢量衍射理论对光盘的衍射进行了深入的研究，首次在光学读取头领域中将耦合波理论应用到光盘的衍射分析中，得到了一些有意义的结果，这些结果可以用来指导光学读取头方案的设计。

Such phenomena are analytically verified when the coupling matrix is diffusively coupled with periodic and Neumann boundary conditions.

当耦合矩阵是扩散耦合且具有周期与诺曼的边界条件时，这种现象将被分析地证实。

However, for a typical connectivity topology such as the diffusively coupled matrix,λ2 moves closer to the origin, as the number of nodes increases.

然而，对於特有的拓朴连结就像是扩散地耦合矩阵，当节点的个数增加时，λ2对零点越靠近。

Breath, muscle contraction of the buttocks; arch body, as far as possible to hold his head, right leg straight towards the ceiling (peg-leg knee in order to avoid muscle tension).

呼气，收缩臀部肌肉；拱起身体，尽量抬起头来，右腿伸直朝向天花板（膝微屈，以避免肌肉紧张）。

The cost of moving grain food products was unchanged from May, but year over year are up 8%.

粮食产品的运输费用与5月份相比没有变化，但却比去年同期高8％。