查询词典 geometric difference equation

The relationship between the Riemannian geometric framework of Lagrange equation and the topology graph representation of classic mechanical systems is discussed.

讨论了经典力学系统中拉格朗日方程的黎曼几何表示和力学系统拓扑图表示之间的关系，作为应用。

Secondly, European option pricing problem is discussed when price of stocks follows geometric Brown motion and return of stocks follows Ornstein-Uhlenbeck process. Using Arbitrage-free principle, we give a partial differential equation with which option price is satisfied and using Fourier inverse transformation, the closed-form solution to European Call option pricing formula is given.

其次，讨论了股票价格服从几何布朗运动，股票收益服从Ornstein-Uhlenbeck 过程的欧式期权定价问题，利用无套利原理给出了期权价格满足的偏微分方程，并运用傅立叶逆变换，求出了欧式看涨期权定价公式的封闭解。

Based on the nonlinear geometric relation between strain and displacement of flexible cable , the equilibrium equation under self-weight and influence of temperature are established and an analytical solution of displacement and tension distribution defined in Eulerian coordinate system is accurately obtained.

根据柔索应变与位移的非线性几何关系以及自重作用和温度影响下的平衡方程，采用欧拉描述的坐标系统精确地求得了各点的位移和张力的解析解。

On the basis of nonlinear geometric relation between strain and displacement for flexible cable, the equilibrium equation under self-weight and the influence of temperature, an analytical solution of displacement and tension for every point defined in Eulerian coordinate system is obtained accurately.

根据柔索应变与位移的非线性几何关系以及自重作用与温度影响下的平衡方程，采用欧拉描述的坐标系统，精确地求得了各点的位移和张力的一般解。

On the basis of nonlinear geometric relation between strain and displacement for flexible cable, the equilibrium equation under self-weight and influence of temperature, an analytical solution of displacement and tension for every point defined in Eulerian coordinate system is obtained accurately.

根据柔索应变与位移的非线性几何关系以及自重作用与温度影响下的平衡方程，采用欧拉描述的坐标系统精确求得各点的位移和张力的一般解。

Then, according to the physical imaging process, we developed the geometric collinearity equation of push broom sensor and the attitudes of sensor with the Kepler parameters of the satellite orbit.

其次针对单线阵推扫式传感器的成像几何，利用6个卫星轨道开普勒参数和3个传感器姿态角建立了推扫式卫星遥感影像与其地面点的关系式，即严格轨道成像模型。

We proved, under a geometric condition given by Capietto, Mawhin and Zanolin, the infinity and some dense distribution of even or odd symmetric subharmonics for the equation with oscillatory nonlinearity.

本文讨论了具有偶或奇对称性的Duffing方程，在由Capietto，Mawhin和Zanolin给出的几何条件下，我们证明了具有振动非线性的对称Duffing方程有无穷多个对称的次调和解，并且其次调和解具有某种稠密的分布。

In conclusion, the results of multilevel model analysis showed that the GERD score of resident in Wuhan was relatively higher and had significant difference with that in Guangzhou, however, that in Shanghai, Beijing and Xi\'an had no significant difference compared with that in Guangzhou. That is to say, the prevalence of GERD in Wuhan was relatively higher compared with the other four survey sites; the residents'health status more worse, the GERD score more higher, and the influence of health status on GERD score was also effected by the region difference between Wuhan and Guangzhou; residents lived in rural region with lower education level, worse spirit status were more likely to suffer from GERD; Moreover, those residents who had family history of GI tumors or other GI diseases, some anamneses (such as dyspepsia, gastritis, rheumatic arthritis), and some diseases (such as irritable bowel syndrome and aerophagia) were also more likely to report GERD. However, no significant association was found between GERD and some other factors in this survey, such as sex, age, etc.

总之，多水平模型分析结果显示，与广州相比，上海、北京和西安居民的GERD总评分没有明显的差异，而武汉居民的GERD总评分则相对较高，即表示武汉的GERD发病率在5个调查城市中相对较高；居民的总体健康状况越差，其GERD总评分越高，且其对GERD总评分的影响受到武汉与广州之间地域差异的影响；农村居民、文化程度越低、精神状况越差者更容易患GERD；另外，那些有胃肠道疾病或肿瘤家族史，既往患有胃炎、消化不良、风湿性关节炎，现患有肠易激综合征、吞气症的人，患GERD的可能性更大，而性别、年龄等因素，本研究未发现其与GERD有显著的关系。

The scattering properties of particles with different shape parameters are simulated respectively in the modes of reflection and refraction. Both in the modes of reflection and refraction, the phase difference of non-spherical particle's PDA signal is the unbiased estimate of the corresponding phase difference of ideal spherical particle, and the standard deviation of angle roughness scale on particle surface impacts little on the distribution of phase difference.

本文通过物理光学的方法分析了非理想球形粒子的散射特性，利用物理光学中的稳相点理论，导出了非理想球形粒子散射光的相位表达形式，分析了非理想球形粒子的形状对PDA信号相位及相位差的影响，建立了非理想球形粒子的尺寸分布与PDA信号相位差分布之间的关系。

To against an afterload of 1.96kPa(200mmH_2O), measure two groups of direct flow and antidromic flow, both begin with the pressure difference of 0mmH_2O, add more 20 mmH_2O every time ,measure three tines at each pressure difference, get the average value at each pressure difference.

测试分为顺向和逆向两组，在克服后负荷压强为1.96kPa(200mmH_2O)情况下，分别从0mmH_2O压力差开始，每隔20mmH_2O递增，测量通过静脉外间接人造瓣膜的生理盐水流量，每个压力差值测量3次，取平均值。

It's bell can reach over a meter in diameter.

它的身体最大可以达到直径1米多。

Now they are overdue and I shall have to pay a fine.

现在他们过期了，我不得不付罚款。