查询词典 transformational equation

In particular, we expound Einstein field equation and its numerical approach when a neutron star is rotating and collapsing, and discuss the moments of Boltzmann equation and its observation when a neutron star is rotating only.

特别，我们论述了有转动有塌缩情况下Einstein方程及其可能的数值解法，以及有转动时Boltzmann方程的矩形式及与观测的联系。

This study uses the soil parameter reduction coefficients to model the seismic pile responses affected by liquefied soils. One dimensional wave equation analyses were conducted for the solutions. Based on the bore-hole data and nearby seismic record, the soil parameter reduction coefficients of liquefied layers can be obtained through a pre-analysis for liquefaction potential of the site. The reduction coefficients were used to reduce the soil modulus for liquefied soils, and the lumped mass analysis is performed to obtain the free-field response of the site. The ground deformations are superimposed onto the pile elements for discrete wave equation analysis, and the non-linear pile responses can be simulated through the modified Bouc-Wen model. Thus the deformations and failure mechanism of the pile are able to investigate.

中文摘要本研究之土质参数折减系数模式，系以一维波动方程模拟地盘液化状态下之桩基础动力反应，依据现场土层钻探资料与邻近测站之地震纪录，由土壤液化潜能评估法配合日本相关规范求得液化土层之土质参数折减系数，以此系数对土壤强度模数进行折减，并使用集中质块法求取自由场之地盘液化反应，再以此为前置解作用於桩基础之波动方程求解，桩身刚度以简化之Bouc-Wen模式模拟其非线性行为，以了解液化地盘内基桩之变形行为与破坏机制。

The stable wave-field propagators of one-way wave equation for Born and Rytov approximations are derived by using the local Born and local Rytov approximation methods in the scatter theory of wave-field propagation, and their application effects in prestack depth migration imaging of wave equation are compared theor...

利用波场传播散射理论中的局部Born近似和局部Rytov近似，分别导出了单程波方程的稳定的Born近似波场传播算子和稳定的Rytov近似波场传播算子，然后从理论和实践上比较了它们在地震数据波动方程叠前深度偏移成像中的应用效果。

On the basis of study on hydrates phase equilibrium and the GHSZ affecting factors, the potential planar distribution of gas hydrates is determined by studying the temperature and pressure conditions in the sea bottom with different water depth, and the thickness of GHSZ is attained by solving the hydrates phase boundary curve equation and geothermal gradient curve equation.

在充分研究水合物相平衡和水合物稳定带影响因素基础上，通过建立水深和海底温度的关系，确定了不同气体成分和孔隙水盐度情况下，水合物稳定带在南海的分布范围，并根据水合物相平衡曲线方程和温度-深度方程计算了水合物稳定带的厚度。

The brachistochrone of an electric ball in the electromechanical coupling field was investigated according to variational method,and the corresponding governing equation(Euler-Lagrange equation) was derived.

通过变分原理的方法研究力电耦合场中带电小球的最速降线问题，导出其轨迹控制方程，即Euler-Lagrange方程。

Rules for fusing, which specify the possible values of the charge that can be obtained when two particles of known charge are combinedbtogether, used for reading out information. In the #nu=5/2# FQH state, it can be realized by measuring whether each pair annihilates fully or not with interference experiment. The representation of the braid group realized by n anyons is cmpletely characterized by the R-matrix and F-matrix which satisfy a pentagon equation and a hexagon equation, coherence conditions for the corresponding anyon model.

满足一定的聚合规则，用于信息读取（在填充因子为5/2的分数量子霍尔效应中，可以通过干涉实验测量每对相邻的粒子相聚合的湮灭情况来实现信息读取）；N个任意子组成的体系的标准基中辫子群表示可以完全由R矩阵和F矩阵决定，不同任意子模型中的R矩阵和F矩阵的具体形式可以通过五边形和六边形方程求出。

Based on a two-phase flow momentulm equation and a mechanical energy balance equation, an expression for the buoyance on the fluidized partiles has been derived.

表明了广泛应用的拟均相模型的不合理性，提出了应采用分离流模型来分析散式流态化中颗粒的受力情况，证明了流化颗粒所受浮力符合阿基米德原理，即，还推导了流化颗粒所受流体曳力的表达式：并用实验对其进行了验证。

Effects of buoyance on oil droplets migration in waterflood process;2. Based on a two-phase flow momentulm equation and a mechanical energy balance equation, an expression for the buoyance on the fluidized partiles has been derived.

表明了广泛应用的拟均相模型的不合理性，提出了应采用分离流模型来分析散式流态化中颗粒的受力情况，证明了流化颗粒所受浮力符合阿基米德原理，即，还推导了流化颗粒所受流体曳力的表达式：并用实验对其进行了验证。

Considering the characteristic of dynamic consolidation in soft soil, L'place transformation is carried out on the basis of relaxed resolution problem of dynamic consolidation in saturated soft soil proposed by Zienkiewicz. With calculus of variations as the principal theory, the function of dynamic consolidation equation is constructed, and further, dynamic consolidation equation in matrix forms is deducted.

本文针对软土地基上动力固结法的特点，在Zienkiewicz提出的饱和土体动力固结定解问题的基础上做拉氏变换，以变分原理为基本理论，构造动力固结方程的泛函，进一步推导得到动力固结方程的矩阵形式表达式。

In Chapter 3, the generalized skew-symmetric solutions of the matrix equation A~TXA = B on the linear manifold S ={X e GKSR~|||XY - Z}}= min, Y, Z∈ R~}, using the canonical correlation decomposition of a matrix pair, the necessary and sufficient conditions for the existence and the expressions for the generalized skew-symmetric solutions of matrix equation A~TXA — B on the linear manifold are established.

利用矩阵对的标准相关分解，给出了这类线性流形上矩阵方程A~TXA=B存在广义次对称解的充要条件及其通解表达式，并且导出了极小Frobenius范数广义次对称解的表达(来源：d7d7A7dBC论文网www.abclunwen.com)式。

There are different types of personal loans available.

有许多不同类型的个人贷款优惠。

The above mentioned teaching model of spiral rising can be used to avoid rigidness in teaching.

上述螺旋式上升的教学模式，可以避免教学形成模式後的僵化现象。