查询词典 transformational equation

This paper analyses the tangent equation of space curve and the derivation process of the curved tangent plane equation in the higher-mathematics teaching-materials, and shows another method to extract the tangent equation of space curve.

分析高等数学教材中空间曲线的切线方程和曲面的切平面方程的推导过程，给出求空间曲线的切线方程的另一种方法。

The parameter equation, tangent, normal plane, the length of the arc, curvature, the basic equation of the spatial curve, torsion and the equation of the curve in flat surface etc.

为解决实际中各种空间共轭曲面问题，分析和评价各种传动装置的几何特性和传动性能，为探索新型的传动装置奠定基础。

Based on the theory of dimensions chain, with an illustration of machining, the process of establishing, searching and resolving of process dimension formula equation is analyzed in detailed; And then leading-in the basic dimension matrix equation and tolerance matrix equation, a program in Matlab language is made.

王战中，王为杰，韩彦军，程林章，李辉，基于矩阵的工艺尺寸链分析与解算文章基于尺寸链原理，借助一个机械加工实例，详细分析了工艺尺寸式方程的建立、查找及解算过程；并在此基础上引入基本尺寸矩阵方程和公差矩阵方程，采用Matlab语言编写计算机程序。

In this paper, based on summarizing previous numerical studies on wave transformations, deriving an extended form of mild slope equation, which is taken as the governing equation. The equation simulates wave transformation in offshore area with finite difference.

本文在总结概述前人关于缓坡方程波浪数学模型的基础上，推导出一改进型缓坡方程，并以此为控制方程，采用有限差分方法，模拟近海海域的波浪变形。

Then the element equation and unit tangent rigid matrix are deducted on the basis of description of UL coordiate and principle of imaginary, the balance equation and overall tangent rigid matrix are integrated via introduction of terminal condition, and the nonlinear equation group is finally parsed on the basis of combination method of Newton-Raphson and increment.

接着基于U.L 坐标描述，从虚功原理出发推导出单元的平衡方程和单元切线刚度矩阵，引入边界处理条件集成了整体结构的平衡方程和总切线刚度矩阵，并采用Newton—Raphson 法和增量法相结合的方法求解非线性方程组。

In this paper, by discussing the basic hypotheses about the continuous orbit and discrete orbit in two research directions of the background medium theory for celestial body motion, the concrete equation forms and their summary of the theoretic frame of celestial body motion are introduced. Future more, by discussing the general form of Binet's equation of celestial body motion orbit and it's solution of the advance of the perihelion of planets, the relations and differences between the continuous orbit theory and Newton's gravitation theory and Einstein's general relativity are given. And by discussing the fractional-dimension expanded equation for the celestial body motion orbits, the concrete equations and the prophesy data of discrete orbit or stable orbits of celestial bodies which included the planets in the Solar system, satellites in the Uranian system, satellites in the Earth system and satellites obtaining the Moon obtaining from discrete orbit theory are given too.

摘 要：通过讨论天体运行背景介质理论的连续轨道及离散轨道这二个研究方向的基础假设，介绍了天体运行轨道的具体方程形式及理论框架概要；进一步地通过讨论天体运行轨道 Binet 方程的一般形式及其行星近日点进动角的解，给出了连续轨道理论与 Newton 理论及 Einstein 广义相对论的联系与区别；通过讨论天体运行轨道的分维扩展方程，给出了包括太阳系行星、天王星卫星、地球卫星、绕月航天器等在内的离散轨道方程及其预言数据。

By discussing the basic hypotheses about the continuous orbit and discrete orbit in two research directions of the background medium theory for celestial body motion, the concrete equation forms and their summary of the theoretic frame of celestial body motion are introduced. Future more, by discussing the general form of Binet's equation of celestial body motion orbit and it's solution of the advance of the perihelion of planets, the relations and differences between the continuous orbit theory and Newton's gravitation theory and Einstein's general relativity are given. And by discussing the fractional-dimension expanded equation for the celestial body motion orbits, the concrete equations and the prophesy data of discrete orbit or stable orbits of celestial bodies which included the planets in the Solar system, satellites in the Uranian system, satellites in the Earth system and satellites obtaining the Moon obtaining from discrete orbit theory are given too.

在深入研究引力理論及廣義相對論的基礎上，通過討論天體運行背景介質理論的連續軌道及離散軌道這二個研究方向的基礎假設，介紹了天體運行軌道的具體方程形式及理論框架概要；進一步地通過討論天體運行軌道Binet方程的一般形式及其行星近日點進動角的解，給出了連續軌道理論與Newton理論及Einstein廣義相對論的聯繫與區別；通過討論天體運行軌道的分維擴展方程，給出了包括太陽系行星、天王星衛星、地球衛星、繞月航天器等在內的離散軌道方程及其預言資料。

Traditionally, we can consider a wave equation (ex. Klein-Gordon equation) in the Schwarzschild background, and use the Wronskian of the two independent solutions to the equation in the Laplace picture to define the quasi-normal modes.

传统上，我们可以藉由考虑一个在史瓦兹度规的Klein-Gordon方程式，在拉普拉斯转换之下，我们可以从方程式的Wronskian零点来获得准正则模。

In this paper, an iterative algorithm is proposed to find the generalized centrosymmetric solution pair of matrix equation AXA~T+BYB~T=C. The solvability of the matrix equation can be determined automatically in the iterative process. When the matrix equation is consistent, the solution pair can be obtained within finite steps in the absence of round-off errors.

该论文运用迭代方法研究了矩阵方程的一般中心对称解解，特别地，当矩阵方程是相容的时，经过有限步就能求出该方程的一般中心对称解解，然后以此为主要依据进一步研究了矩阵方程的最优近似解，最后举例验证了该论文的主要结论。

Effective dielectric constants of diphase composite are simulated by Monte Carlo - finite element method on square lattice in two - dimension. Logarithmic mixing rule, Wakino's equation, Maxwell - Wagner's equation and general effective medium equation are used to fit the computed data.

采用蒙特卡洛有限元法，在二维正方形格子上模拟计算了两相复合介质的等效介电常数，并用对数混合方程、Wakino方程、Maxwell-wagner方程和通用有效介质方程对模拟数据进行了拟合。

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。