查询词典 geometric difference equation

Equidistance point and difference theory in theory of function approximation are studied. Meanwhile, the relation among difference, difference quotient and derivate is revealed. By drawing Lagrange's and Cauchy's theorem of mean on difference and Taylor's formula into difference function, four theorems, such as Lagrange's theorem of mean on difference, are concluded in simple way. On the basis of these conclusions, the asymptotic property of middle point is studied, a series of new conclusions are drawn and the discussions on the asymptotic property of middle point in differential mid-value are summarized.

对函数逼近论中等距节点和差分理论进行了研究，揭示了差分、差商与导数之间的联系；将Lagrange中值定理、Cauchy中值定理、Taylor公式引入到差分函数中，简明地推导出Lagrange差分中值定理等4个定理，并在此基础上对&中间点&的渐近性进行了研究，得出了一系列&中间点&的渐近性的结果，概括了有关文献对微分中值公式的&中间点&的渐近性的讨论；给出的引理改进了函数逼近论的证明方法，精简了函数逼近论中的一些内容。

A general laser scanning altimetry equation is developed that describes an ideal system, followed by developing an error model for the laser scanner, and the INS and GPS units. The result is a modified laser equation that contains all errors introduced. The error model is evaluated by analyzing the difference between errorless equation and laser equation with errors.

本文从机载激光扫描测高对地定位的几何模型出发，详细推导了各项误差对机载激光扫描测高对地定位结果的影响关系式；详细分析了不同误差对激光脚点坐标的影响规律，并给出了相应的数值结果和量化指标。

The modeling of GM (1,1) model is to gain difference equation by dispersing albinism differential equation, then to estimate model parameters by the difference equation.

GM(1，1)模型的建模过程是由白化微分方程离散化得到差分方程，再由该差分方程估计模型参数。

The main content of the study includes: the policy variables are classified into two types, which are continuous policy variable and discrete policy variable, and the two variable is analyzed respectively; as to the continuous policy variable, use reasonable weighting to synthesize comprehensive policy indicator to reflect the comprehensiveness of each main policy indicator; undertake regression analysis for the comprehensive policy indicator, economic and stock market variable and get the effect of all kinds of comprehensive policy indictor variables on the economy and stock market; undertake regression analysis for data on the economic indicator and the data on the stock market and get the relationship between the economy and the stock market; use event research method to analyze its effect on the stock market and get some corresponding conclusions; structure the differential or difference equation groups on the interactive relationship among the variable economy, stock market and policy and do the difference operation and constitute simultaneous equation with the original main variables one after another; use quantitative regression method and solve the coefficient of the simultaneous equation to predict the operating tendency.

本研究主要内容包括：将政策变量划分为连续性政策变量和离散政策变量两个类型，并分别进行分析；对于连续性政策变量，采取合理的权重来合成政策综合指标，反映各主要政策指标的综合力度大小；将各政策综合指标与经济、股市变量进行回归分析，获得各类政策综合指标变量对经济、股市影响程度的大小；将经济指标数据与股市数据进行回归分析，获得经济与股市之间关系的大小；采取事件研究方法来分析其对股市的影响程度；构建关于经济、股市与政策各主要变量之间互动关系的微分或差分方程组，进行差分运算，并以此与原来各主要变量组成联立方程；运用计量回归方法，求出联立方程系数用于预测。

The main contents of this course include: the construction, convergence, compatibility and stability of finite difference scheme of elliptic equation, parabolic equation and hyperbolic equation, the construction method and computation format of finite difference scheme of a system of partial differential equations.

本课程主要内容有：椭圆型方程的有限差分格式的构造，有限差分格式的收敛性，相容性及稳定性、抛物型方程的有限差分格式的构造，有限差分格式的收敛性，相容性及稳定性、双曲型方程的有限差分格式的构造，有限差分格式的收敛性，相容性及稳定性、偏微分方程组的有限差分格式的构造方法及有关的计算格式。

Based on the given results of second order boundary value problem, the existence of solutions of nonlinear differential-difference equation and unique of solutions of Hammerstein type integro-differential-difference linear equation were established because Hammerstein linear equation featured only one solution.

以二阶边值问题的已知结果为基础，建立了微分差分非线性方程解的存在性，以及Hammerstein型线性方程解的唯一性。

This method is based on the Snell law of acoustic propagation in water. Different velocity gradients among linear layers in water are utilized to draw the sound ray chart, and a mathematical model of the geometric operational range is built. Furthermore, the geometric homing range is predicted with sound ray density, a prediction system of geometric operational range for acoustic homing torpedo is designed and the function of the system is realized through a system software. The sea trial demonstrates the prediction validity of the system.

该方法基于声波在水中传播的Snell定律，利用水中各线性分层间不同的声速梯度，绘制声线图，建立了几何自导作用距离的数学模型，并通过声线密度对几何作用距离进行预报，设计了声自导鱼雷几何作用距离预报系统，并通过系统软件实现了其功能，经测试，该系统在海上试验中取得了良好效果。

In Chapter 5, in geometric perspectives, the geometric properties of complex numbers are explored, including complex plane, four arithmetic operations of complex numbers and nth root of a complex number. It is also exemplified how these geometric properties are applied to solving the problems of plane geometry.

第五章从几何的观点探索复数的几何性质，包括复数平面、复数的四则运算及复数的n次方根，并举出几个例子，说明这些几何性质如何应用在解决平面几何的问题上。

Concept of compound geometric design for at-grade intersection is presented, and in functional, economic and environmental concept's way at-grade intersection's geometric design is elaborated. Qualitative and quantitative research is provided for intersection's channelized and flared design, including detailed analyses for pocket lane, crossway and traffic island. When conventionally channelized design of signalized intersection isn't possible or these effects are poor, an unconventional geometric design for intersection is brought out and 5 kinds of modes are systematically studied. An example is illustrated to urban signalized intersection compound design's splendid future and deep importance.

对平面交叉口提出复合型几何设计理念，从功能理念、经济理念和环境理念出发研究信号交叉口的几何设计，对交叉口拓宽渠化设计中关键技术环节（专用车道、人行横道和交通岛）进行详细定性和定量分析；针对不允许进行渠化设计或渠化设计效果不佳的信号交叉口，结合交叉口的相关道路设施提出了非传统设计方法，并建立和分析了典型的5种非传统设计模式；同时结合事例说明复合型几何设计理念在城市信号交叉口设计的崭新前景和重要意义

By studying double-power integral, the geometric invariants and geometric probability can studied from the perspective. In particular, more complicated geometric probability can be resolved with the double-power integral inequality.

通过对双弦幂积分的研究，可以从新的角度更进一步的研究几何不变量和凸几何，特别是双弦幂不等式能解决更为复杂的几何概率问题。

The father that if work,mad father, love annoys, disposition is too indrawn the be short ofing that the father of Mu Ne, resign oneself to adversity causes father easily to love is broken; Communicate time effectively between father and son, Mu Zizhi to be less than a hour on average to wait a moment every week, it is the cause that causes the child to become addiction.

如工作狂的父亲、爱愤怒的父亲、性格过于内向木讷、逆来顺受的父亲都易造成父爱的缺失；父子、母子之间的有效沟通时间每周平均小于一小时等等，都是造成孩子成瘾的原因。

These are vandal proof and they come with a locking mechanism.

这是野蛮的证据，他们来到了锁机制。