查询词典 transformation equation

In order to obtain more general solution of second order linear differential equation with constant coefficients, which is important in theory and practice, on the basis of knowing a special of the second order linear differential equation with constant coefficients and by using the method of variation of constant, the second order linear differential equation with constant coefficients is transferred to the reduced differential equation and a general formula of the second order linear differential equation with constant coefficients is derived.

为了更多地得到理论上和应用上占有重要地位的二阶常系数线性非齐次微分方程的通解，这里使用常数变易法，在先求得二阶常系数线性齐次微分方程一个特解的情况下，将二阶常系数线性非齐次微分方程转化为可降阶的微分方程，从而给出了一种运算量较小的二阶常系数线性非齐次微分方程通解的一般公式，并且将通解公式进行了推广，实例证明该方法是可行的。

Thirdly, according to the development of the frozen soil, the coupling model of single freezing pipe of axial symmetry of temperature field, stress field and moisture migration is put forward firstly. Then, by means of the progressing principle of potential field, the coupling model of temperature field, stress field and moisture migration which is under the condition of the multi-freezing pipes is extended. At last, the energy balance equation, stress balance equation, quality balance equation, geometric equation, physical equation, initial and boundary conditions etc are adopted to give the analytic solution to the problem of plane axial symmetry of single freezing pipe.

第三，在对室内试验和现场实测结果研究的基础上，分析了土体冻结过程中温度场、应力场、水分场耦合原理，并按照冻土体形成发展过程，首先建立了单一冷源冻结轴对称温度、应力、水分场耦合模型；接着利用势场的迭加原理，将单一冷源情况的三场耦合问题推广到多冷源情况的三场耦合；最后根据能量守恒平衡方程、应力平衡方程、质量守恒平衡方程、几何方程、物理方程、初始及边界条件，解出了单一冷源平面轴对称问题的解析解。

Under the condition of the slide between pile and soil around pile is taked into account,five equations are established, including the equation of compatibility between the settlement of pile cap soil and the settlement of pile cap; the equation of compatibility between the settlement of pile head soil and the settlement of pile head; the physical equation between the settlement of soil around pile shaft and the settlement of pile shaft;the equation of equilibrium between loads on the pile cap, side frictional stress and restraints of pile head; the equation of compatibility between the deformation of the pile body and the subtraction between the settlement of pile cap and the settlement of pile heap.

桩身单元和土单元存在着相互作用，在允许桩土相对滑移的前提下，建立桩顶土体沉降与桩顶沉降的协调方程、桩底土体沉降与桩端沉降的协调方程、桩土相对位移与桩侧摩阻力的物理方程、桩身力的平衡方程、桩身压缩和桩顶沉降与桩端沉降之差的协调方程。

In order to determine the solution set of the equation , by the means of meet-irreducible element and irredundant finite meet-decomposition, we first obtain the maximal solutions to the simple equation in the case that b has an irredundant finite meet-decomposition, and then consider the relation between the equation and the equation , based on this, we obtain the maximal solutions to the equation in the case that each element of the matrix B has an irredundant finite meet-decomposition and so determine its solution set completely.

为了确定方程的解集，本文利用交既约元与不可缩短的有限交分解等工具，同样地先求出简单形式的型矩阵方程的所有极大解，然后讨论方程与方程之间的关系，在此基础上，在B的每个元素均有不可缩短的有限交分解的情况下，求出了方程的所有极大解，从而完全确定了方程的解集。

One way is to regard them as the random variables submit to a certain distribution; another is to take them as a random process—— we derive random variables form any of its function's time development, and, the diffusion equation could be partially approached by a equation which is similar to the Ito stochastic integral equation so that the Ito stochastic integral equation is inter-related with the diffusion equation. Therefore, this process could basically reflect the uncertainty in different models.

PSFEM法是假定基本随机变量在均值点处产生微小摄动，利用Taylor级数把随机变量表示为确定部分和由摄动引起的随机部分，从而将有限元控制方程转化为一组线性的递推方程，求解得出位移的统计特性，进而求出应力的统计特性。

The non-isothermal kinetic data were analyzed with the Achar equation, Coats-Redfern equation, Kissinger equation, Flynn-Wall-Ozawa equation and Starink equation.The mechanism function and kinetic parameters of the thermal decomposition in the third step were obtained.The chemical reaction mechanism (F3) controlled the third thermal decomposition process.The apparent activation energy and the pre-exponential factor were 351 kJ·mol-1 and 2.57×10 30s-1 respectively.

采用Achar方程、Coats-Redfern方程、Kissinger方程、Flynn-Wall-Ozawa方程和Starink方程对非等温动力学数据进行了分析，得到了第3步热分解反应的机理函数、动力学参数和热分解反应动力学方程，其热分解反应过程受F3机理控制，表观活化能为351 kJ·mol-1，指前因子为2.57×

We can take Fourier transformation or Laplace transformation towards try to of square distance both ends according to the their lines property, differential calculus property and integral calculus property, its conversion for act for of elephant function square distance, from this algebra square the distance beg an elephant function, then take Fourier negative transformation or Laplace negative transformation have to originally square distance of solution.

我们可以根据他们的线性性质，微分性质和积分性质，对欲求的方程两端取Fourier变换或Laplace变换，将其转化为象函数的代理方程，由这个代数方程求出象函数，然后再取Fourier逆变换或Laplace逆变换就得出原来方程的解。

With the competent germinating epicotyl of cotton as receptor in exogenous gene transformation, NPTII (neomycin phosphotransferase Ⅱ) gene carrying selection marker and GFP reporter gene were mediated into cotton by agrobacterium-mediated transformation. The pre-culture time, bacterial-immersing time, co-culture time and antibiotics concn., etc of using agrobacterium-mediated transformation in the transformation of competent germinating epicotyl of cotton were studied.

方法］以棉花感受态萌动的上胚轴作为外源基因转化的受体，用农杆菌介导法将携带有筛选标记NPTII基因及GFP报告基因导入棉花，研究了农杆菌介导法用于棉花感受态萌动上胚轴转化的预培养时间，浸菌时间，共培养时间及抗生素处理浓度等。

The crux of the program is Fresnel transformation in which an inverse discrete Fourier transformation is involved. In the calculation of the transformation, the standard algorithms for fast Fourier transformation can be applied to enhance the efficiency of the program.

Fresnel变换是该程序的核心，Fresnel变换中可以应用逆Fourier变换，计算中可以利用快速傅立叶算法提高程序的执行效率。

This paper discussed the coordinate transformation method of WGS84 coordinate system to 1954-BeiJing Gauss grid coordinate. Introduced transformation model of WGS84 to Beijing 54 and computing method of transformation parameter. According to different model and computing method, computed and compared with the result combine real data. Think that adopt base-line vector quantity ask four parameters model have higher transformation precision.

本文详细讨论了WGS84大地坐标转换到北京54坐标系下的高斯平面坐标的方法，重点介绍了WGS84和北京54的空间直角坐标的转换模型及转换参数的计算方法，并根据不同的模型和计算方法结合实际数据进行计算和结果的比较，认为采用基线向量求解的四参数模型具有较高的转换精度，分区变换和提高控制点精度也能提高转换的精度。

But this is impossible, as long as it is engaging in a market economy, there are risks in any operation.

但是，这是不可能的，只要是搞市场经济，是有风险的任何行动。

We're on the same wavelength.

我们是同道中人。