查询词典 formula transformation

For instance, we obtained the existence and uniqueness theorem and several judgement theorems on stability and instability for several types of nonlinear singular systems. Using Z-transformation, we estabilished the response formula of discrete singular systems with delay, and obtained the sufficient and necessary condition of rearchability.

如我们得到了某些非线性广义系统解的存在唯一性定理，及稳定与渐近稳定的判据；利用Z变换方法，得到了滞后离散广义系统的一般响应公式，进而得到了局部可达与局部能控的充要条件等。

We studied the transformation of Cassinian curves, treatment method of singularity, and equal-interval difference formula.

本文讨论了Cassinian曲线族的变换，奇点的处理方法，等距剖分的差分格式。

With the help of a transformation formula of basic hypergeometric functions, known identities, and Jacobi triple, we have established some new Rogers-Ramanujan type identities.

2我们对Agarwal与Singh（见文献[1]）推导出的一个新的Rogers--Ramanujan型恒等式〓给出了一个新的、更为简单的证法，并得出一系列新的Rogers-Ramanujan型恒等式。

From Maxwell's equations, with material constitutive relation of optically active crystal and boundary conditions of electric field on the boundary between isotropic media and crystal, through coordinate transformation, the formula of the direction of refracted wave for arbitrary direction incident monochromic plane wave was derived. Furthermore, based on the unit vector of direction of refracted wave, eigen waves of electric field, electric displacement vectors and direction of energy flow can be easily obtained.

从麦克斯韦方程组出发，结合旋光晶体的物质方程以及单色平面波从各向同性介质入射到晶体界面时电场的连续性边界条件，通过晶体主轴坐标系和界面坐标系的坐标变换，推导了任意入射方向的单色平面波在晶体界面上的折射方向的求解公式，进而利用所得的折射方向求解晶体中折射波的电场本征模、电位移矢量本征模和光线方向。

As an examplc, in the Chebyshev coordinates, we use the Backlund theorem to give a Backlund transformation and a permutability formula between the generalized sine-Laplace equation and the generalized sinh-Laplace equation.

作为一个例子，利用几何的Backlund定理我们给出了广义的sine-Laplace方程和广义的sinh-Laplace方程之间的Backlund变换及其置换公式。

In this paper the calculating formula of sea water oxi dazing reduction potential is derived and the transformation of oxidation reduction of heavy metal in sea water is analyzed .

本文导出海水氧化还原电位计算公式，定性分析了重金属在海水中氧化还原转化。

Under the effect of submerged permeable breakwater located in front of the seawall, this study is aimed to simulate the wave transformation between submerged breakwater and seawall. The model utilized is the controlling formula - parameter of the porous medium and introduced with the theory of nonlinear shoaling correction.

在海堤前设置透水潜堤影响作用下，本文以数值模拟潜堤与海堤间特性的变化，所采用模式的控制方程式为单层孔隙介质层参数之双曲线型缓坡方程式，并导入非线性浅化理论。

Second, considering the influence of well resistance, smear effect and structure breakage of thick soft clay, the equivalent calculation method is proposed. That is, the partially penetrating sand drain ground is viewed as the double-layered ground, and its consolidation is analyzed with 1-D consolidation theory, through the transformation from 3-D consolidation to 1-D consolidation in the region of sand drain. This can overcome the disadvantage that the excess pore water is discontinuous between the region of sand drain and under-lying soft layer. To the double-layered ground, based on the consolidation mechanism under surcharge, the excess pore water pressure calculation formula is deduced under the condition of multilevel equably loading or unloading, which perfects the consolidation theory.

然后，在充分考虑竖井区井阻、涂抹作用以及土体结构损伤破坏对固结影响的基础上，将未打穿竖井地基合理地转化为双层地基，按一维固结理论计算，克服了传统固结计算方法在竖井处理区与下卧层交界面处存在孔压间断的缺点；在此基础上，从超载预压法的基本原理出发，分析了双层地基超载预压固结、沉降机理，推导了多级等速加、卸载情况下双层地基的固结计算公式，进一步完善了双层地基固结理论。

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。

It adopts the single chip computer control calculation meritorious service capacity, and parameters such as real power, reactive power, meritorious service rate element, tension fundamental harmonic virtual value and tension harmonious wave virtual value and so on these are separation to the calculation branch to the measurement that on the basis of the scattered integration formula in immediate future scattered Fourier transformation, the exchange basseted on to power system parameter sampling idea was achieved to adjust all the journey moreover the frequency alternating current frequency and the tension virtual value as well as the electric current virtual value in the way of software .

它采用单片机的控制运算功能，根据离散积分公式即离散傅立叶变换，基于对电力系统参数进行采样的思想，实现同时对一路工频交流电的频率、电压有效值、电流有效值的测量，用软件计算分析出有功功率、无功功率、功率因素、电压基波有效值、电压谐波有效值等参数。

They weren't aggressive, but I yelled and threw a rock in their direction to get them off the trail and away from me, just in case.

他们没有侵略性，但我大喊，并在他们的方向扔石头让他们过的线索，远离我，以防万一。

In slot 2 in your bag put wrapping paper, quantity does not matter in this case.

在你的书包里槽2把包装纸、数量无关紧要。