参数方程

Finally, combining PDE with Differential Geometry, parametrically representing the surface, tensor based image processing techniques have been proposed, such as edge detection , morphological operation? implicitly representing the surface as the level-set of the higher dimensional function, the variational problems and partial differential equations that define maps onto the given generic surface have been discussed.

本文结合微分几何学，基于曲线坐标系下的微分算子将平面上的图像处理框架推广到曲面上，得到了参数化曲面上的图像处理框架，并给出了边缘检测和形态学运算的算例；在已知给定曲面的隐式表达时，探讨了定义在任意曲面上的偏微分方程，解决了任意曲面上数据场的扩散问题。

The thermal decomposition mechanism and kinetic parameters of the decomposition reaction of CeDNS were investigated by means of TG/DSC and in situ condensed phase thermolysis/FTIR. The kinetic equation of decomposition reaction was obtained.

用TG和DSC以及变温固相原位反应池／傅立叶变换红外光谱联用技术研究了3，5-二硝基水杨酸铈的热分解机理，对主放热反应的DSC峰进行了数学处理，计算得到了动力学参数和动力学方程。

According to the fluorescence measurement results from mixed solution, the association constant estimated for thioridazine hydrochloride-BSA binding and the number of the binding site with Scatchard analysis were 1.2×104 L/mol and 0.98, respectively.

将盐酸硫利达嗪与牛血清白蛋白以不同比例混合并在37 ℃下培养，以流动注射透析采样技术从混合液中分离出游离盐酸硫利达嗪，在线氧化为强荧光化合物后测定其浓度；应用Scrathard方程分析所测数据，求得盐酸硫利达嗪和牛血清白蛋白的结合常数为1.2×104 L/mol，结合位点数为0.98；根据热力学参数推断，盐酸硫利达嗪与牛血清白蛋白之间以疏水作用力为主；进一步基于荧光猝灭现象和Fster非辐射能量转移理论，得到盐酸硫利达嗪小分子与牛血清白蛋白之间的能量转移效率( E =0.497)和结合距离( r 0=3.27 nm)。

When coverage varying from high to low, the parameter a decreasing, and b increasing. The fitted regression equation between total vegetation coverage and runoff duration as following, C = 3.4881nt_p -11.772 (R~2=0.9477). The equation shows that the vegetation is positive correlation to duration, i.e.

高寒草甸产流、产沙的试验结果表明，不同植被盖度的嵩草草甸其产流、产沙过程可以用幂函数R=at~b分布来描述，随着盖度由大变小，方程参数a值逐渐变小，b值逐渐增大；而覆盖度在5％以下的黑土滩，其产流、产沙过程更符合指数函数R=ae~分布。

The simulation results show that the three models are all selfconsistent with electromagnetic field. Gauss law model tends to be affected by the width of the first cell and yield nonphysical oscillation. 1D diode model with reasonable discrete grid gets almost the same results as Child law model, but it needs to solve a transcendental equation, which would cost much time.

模拟结果表明，三种模型都能与电磁场自洽并反映外加磁场对发射电流的影响，但高斯定律模型受网格剖分粗细程度的影响较大且容易产生振荡，一维二极管模型在网格参数合理的情况下结果与查尔特定律模型基本接近，但需要求解超越方程，花费时间多。

Last,the authors figures out the parameters of linear transformation equation by the Least-squares method.

用最小二乘法统计方法求出连续视频帧之间运动参数的线性变换方程。

Traditional KF is utilized to identify structural parameters by transformation from dynamic system differential equation to state space, and combining structural parameters and responses in system state vectors in this dissertation.

利用传统KF将动力学系统的运动微分方程转换到状态空间中，然后将待识别的参数同结构的响应—并作为系统的状态向量进行识别。

For one-dimensional mesoscopic metal rings system in external magnetic field, supposing the system has a symmetry under translation in charge space, the quantum current relation in mesoscopic metal rings is given by solving the eigenvalue equation of the current, the property of quantum current have been investigated and analysed.

针对处于外磁场中的一维介观环系统，假设在电荷空间中具有变换的对称性，通过求解电流算符的本征值方程，给出系统中的量子电流关系，分析和研究一维介观金属环中量子电流的性质。结果表明，量子电流不仅与外磁场、介观金属环参数有关，而且还明显地依赖于电荷的量子化性质

Use the finite element software ANSYS to make model for consecutive strands and unbonded prepressed concrete lining. Build the reciprocity relation of the cells in consecutive strands and cells in RC, analyse the stress and transmogrification of consecutive strands and RC to make sure the design parameter can meet the need of specification.

2采用有限元分析软件ANSYS，分别对无粘结预应力衬砌方案的预应力钢绞线和钢筋混凝土衬砌单独建模，预应力钢绞线的单元节点与钢筋混凝土单元间通过约束方程法建立起相互作用的关系，分析钢绞线和钢筋混凝土衬砌的应力和变形，计算结果表明确认采用的设计参数能够满足规范要求。

Based on Hamilton variation principle, the equations of motion for the moderately thick rectangular plate with transverse surface penetrating crack on two-parameter foundation are established.

基于Hamilton变分原理，考虑板的横向剪切变形和地基耦合效应，建立了双参数地基上含横向表面贯通裂纹的中厚矩形板的运动控制方程。

According to the clear water experiment, aeration performance of the new equipment is good with high total oxygen transfer coefficient and oxygen utilization ratio.

曝气设备的动力效率在叶轮转速为120rpm～150rpm时取得最大值，此时氧利用率和充氧能力也具有较高值。

The environmental stability of that world - including its crushing pressures and icy darkness - means that some of its most famous inhabitants have survived for eons as evolutionary throwbacks, their bodies undergoing little change.

稳定的海底环境─包括能把人压扁的压力和冰冷的黑暗─意谓海底某些最知名的栖居生物已以演化返祖的样态活了万世，形体几无变化。