查询词典 transformation equation

2The matrix elements of the equation is obtained in the form of general formulaby cautions deduction using spinor formula,together with identical transformation andintegral formula related to FG.

运用诸旋量计算公式和含G函数的恒等变换、积分公式，经过细致的推导，以通项公式形式给出该一维积分方程相应于〓态的诸矩阵元。

In this paper,all symmetries of the generalized kdv equation are obtained by means of infinitesimal generator of Lie group of transformation.

本文用Lie变换群的无穷小方法，求出了广义kdv方程的全部对称，并用特殊的对称将其化为常微分方程。

Discrete mechanics,dynamical equation,infinitesimal transformation group,symmetry,conserved quantity

中文关键词离散力学，动力学方程，无限小变换群，对称性，守恒量

In this paper well use this covariant theory to discuss the prolongation structure of the integrable the inhomogeneous equation of the reaction-diffusion type: By establishing SL(2,R)principal bundle and its associated bundle and finding both 1-dimensional realization and 2-dimensional realization of its algera ,we can successfully give its AKNS-equations and Backlund transformation.

本文就是利用这套协变的延拓结构方法讨论了可积的非其次反应扩散型方程的延拓结构。通过建立SL(2，R)主丛及其伴丛，并找到其李代数的1维和2维实现，我们成功得到了其反散射方程和Backlund变换。

Three elements should be calculated in first-order circuit, which can synthesise analytical solution. Second-order series RLC and parallel RLC both can be calculated by the general function, which uses the Matlab to calculate differential equations. Generally, second-order and high-order circuits use Laplace transformation to formulate circuit equation, and get analytical solution by using Laplace inverse transform.

一阶电路先计算3要素，后合成解析结果；RLC串联和并联的二阶电路采用自编的通用函数计算，自编函数采用了Matlab求解微分方程的符号运算方法；一般的二阶电路和高阶电路采用拉氏变换列写电路方程，再用拉氏反变换得到解析结果。

The main results of the study are obtained as follows:1 In order to analyze and study the physical and mechanical characteristics of Lianyungang marine soft clay deeply, large numbers of basic mechanical characteristics tests and tri-axial shear tests are completed.2 In order to investigate the loaded and failure characteristics of the cement-soil, the cement-soils for the different ratio and different cure time are studied in the laboratory, and their unconfined compression tests and tri-axial shear tests are performed.3 Based on the solution of one-dimension consolidation, the one-dimension consolidation of the double-layered foundation is solved for two-grade loading in virtue of transcendental equation; Simultaneously, the one-dimension consolidation of the double-layered foundation is solved by means of Laplace transform for two-grade loading, and Stehfest numerical transform is applied in Laplace's inverse transformation; Furthermore, according to the practical foundation shapes, the consolidation models of the soil between piles and the substratum are built and solved respectively.4 The effect of each parameters on the consolidation of the double-layered foundation is discussed, and the solution of load transfer method for double-layered foundation is applied in A1-A4 section of Lian-Xu expressway. The results of calculating settlement of the double-layered consolidation theory are basic agreement with the measuring settlement results.

取得了以下几方面的研究成果：1针对连云港海相软土进行一维固结和三轴剪切试验，深入分析连云港海相软土的物理力学特性。2模拟水泥土搅拌桩施工，在室内制备不同配比、不同龄期的水泥土试样，并进行无侧限抗压试验和三轴剪切试验，揭示水泥土的受力特性及破坏特性。3运用超越方程，以双层地基一维固结解析解为基础，推导出二级加荷条件下双层地基的固结解析解；同时，通过荷载传递法并借助Laplace变换对双层地基的固结问题进行了数值求解；此外，根据实际的地基结构，建立了桩间土和下卧层的固结模型并分别进行求解分析。4分析探讨了双层地基中各参数对双层地基固结的影响程度，并运用荷载传递法的解答计算了连-徐高速公路A1-A4标水泥土搅拌桩处理段的六个断面，计算结果与实测数据有较好的一致性。

And then, the direct boundary integral equation of convection-diffusion was obtained by using inverse transformation, which is a discrete by using constant elements.

然后，通过逆变换推导出对流扩散方程的直接边界积分方程和解的积分表达式，并采用常单元来离散边界积分方程，完成对流扩散方程的求解。

After that, the model is validated safety and reliable by using the State Matrix Equation of the Petri network. According to the theory that the State Topological Map of Petri Network and Markov chain are isomorphous, the Markov chain of the model is deduced, by which some function indexes such as marked density of probability, average token-number, and usage of transformation can be calculated.

同时，本文运用Petri网系统的状态矩阵方程的方法对模型进行了可达性验证，经验证该模型是安全可达的，并根据随机Petri网的状态图同构马尔可夫链的原理，获得该模型的马尔可夫链，运用该MC链分析了模型的标记概率密度、位置中的平均标记数以及变迁的利用率等性能指标。

Computations of land subsidence in Shanghai are carried out by employing the basic one-dimensional consolidation equation and the Laplace transformation.

上海地面沉降是通过一维基本固结方程和拉普拉斯变换进行计算的。

By applying the approach of the transformation of Lie group,the exact analytical solutions of the non-linear consolidation equation is obtained under different initial and boundary conditions. Based on this solution,the differences between that of large and infinite strain consolidation theories are analyzed.

运用变换群的方法求得了某些条件下大应变固结方程的完整解析解答，在此基础上与相同条件下的小应变固结论理做了比较，并通过对实例的计算，分析了不同假设条件下一维固结理论之间的差异。

Cynanchum Lingtai apricot production in the average weight 65 grams, the brightly-colored fruit, juicy rich, sweet-sour taste, sweet from the nucleolus, when the late Qing Dynasty famous Shaanxi, Gansu provinces, the Qing imperial court Tongzhi tribute for years.

灵台生产的牛心杏平均单果重65克，果实色泽鲜艳，汁多味浓，甜酸适口，离核仁甜，清末时就驰名陕、甘两省，清同治年间曾为朝廷贡品。

Chenopodium album,Solanum nigrum, and Amaranthus retroflexus were very susceptible to the herbicides. Polygonum persicaria and Abutilon theophrasti were relatively less susceptible to the herbicides, and Lycopersicon esculentum was not susceptible to it. The relationship between reduction rates of weed biomass and PPM values of weed leaves 2,4, and 6 days after treatment was established.

供试的6种杂草对该混剂的敏感性存在显著差异：红心藜Chenopodium album、龙葵Solanum nigrum和反枝苋Amaranthus retroflexus对该混剂最敏感，ED90值分别为47.65、71.67和29.17g/hm2；春蓼Polygonum persicaria和苘麻Abutilon theophrasti敏感，ED90值分别为96.91、114.20g/hm2；而番茄不敏感。