查询词典 adjoint 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。

The results showed:among the 7 isolates, five isolates of HY3、GY1－3、ZJ1－1、HP1、FC3 had same colony shape, irregular shape, liquidlike, slimy, opacity with smooth surface;the other two isolates had same shape, irregular shape, dry, opacity with coarse surface. By inoculating eucalyptus with the 7 isolates, the plants were infected apparently, and the young plants of eucalyptus in control experiment with tap water were not infected. By cultivating eucalyptus cuttings with the bacterial suspensions without EPS, the incidence of disease was very distinct,but compared with the former bacteria suspension,the incidence of disease has decreased at different degrees. By screening out two isolates of strong pathogenicity and two isolates of weak pathogenicity from the 7 isolates,making the bacterial suspensions with them to inoculate the young plants of eucalyptus, two treatments of cutlings and ramets with rats were set with 5 repetitions in every treatment, the results of data analysis showed: for the cutlings, the bacterial contents in upper and middle parts、upper and lower had significant difference;for ramets with roots, the bacterial contents in upper, middle parts, lower had significant difference between each other; For both the cutlings and ramets with roof, the bacterial contents in xylem and phloem had significant difference. The interaction between vertical and horizontal parts for the bacterial content had significant difference. For the two isolates of HY3 and 93B which were screened out at last,their activities of the cellulase were: 1.955ug/ and 1.288ug/ respectively, and had significant difference; the activities of pectase were: 1.325 ug/and 1.24ug/ respectively, and had no significant difference. The content of EPS extracted from the two isolates of HY3 and 93B was very different: 7.08x10-8ug/cell and 5.17x10-8ug/cell.

结果显示：7个菌株中，其中5个菌株HY3、GY1－3、ZJ1－1、HP1、FC3的菌落形态相同：不规则形状、流体、粘性、不透明、表面光滑；另外2个菌株93B、GN1菌落形态相同：不规则形状、干燥、不透明、表面粗糙；用7个菌株接种剪根桉树苗，发病情况非常明显，而自来水对照实验中桉树苗却不发病；无EPS菌悬液培养桉树剪根苗，发病率也很明显，但是相比原菌液，则发病率有不同程度的下降；从7个菌株中间筛选出来2个强致病性菌株和2个弱致病性菌株，用它们配制菌悬液培养桉树苗，设置剪根和不剪根两个处理，每个处理设置五个重复，数据分析结果显示：对于剪根苗，上部和中部、上部和下部的含菌量有显著的差异，中部和下部含菌量差异不显著；带根苗，上部、中部、下部含菌量彼此之间差异显著；不管是剪根苗还是带根苗，木质部和韧皮部含菌量之间的差异都非常显著；上中下与木韧交互作用中，含菌量差异非常显著；最后筛选出来的强弱2个菌株HY3和93B，它们的纤维素酶活性分别为：1.955ug/和1.288ug/，具有显著的差别；果胶酶的活性分别为：1.325 ug/和1.24ug/，没有显著的差别，而且HY3和93B两个菌株细胞分泌的胞外多糖的含量差异很显著，分别为：7.08×10-8ug/cell和5.17×10-8ug/cell。

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。

Based on two-dimensional elastic wave equation and adopts the well logs as constraint condition, a new imaging method of crosswell seismic data-elastic wave equation inversion and imaging with the well logs constraint is given by using adjoint theory of distribution-parameter control system.

基于二维弹性波动方程，利用分布参数控制系统的伴随理论，采用测井资料作为约束条件，本文给出了一种井间地震资料速度成像的新方法——井间测井约束弹性波动方程反演成像。

Aimed to the differential equation in form of convolution and the functional presented by M. E. Gurtin, the matrix operator which includes the differential equation and the boundary condition is proved self-adjoint, furthermore a general variational principles in form of convolution and the preparation theorem are given and proved.

针对M.E.Gurtin提出的含卷积运算的抛物型偏微分方程及其对应的泛函，运用泛函势算子理论，从理论上证明了含卷积运算的抛物型偏微分方程及其边界条件所对应的矩阵算子有势，进而给出并证明了具有普适意义的含卷积运算的变分定理及预备定理。

He has to relate with three women in the movie, and yet remain implicitly faithful to the unseen Lucinda.

让克劳德布里亚里成功地饰演试验了一个难度很大的角色：和三个女人打交道，但还要底下对观众未曾谋面的卢馨达保持忠诚。

The experiment was conducted to study effects of inulin on the growth performance, indices of immune organs and serum immunoglobulin of laying chicklings as well as the performance of inulin which replaced the antibiotics in diets by adding 0.2%, 0.4% and 0.8% of inulin, respectively.

试验旨在通过在蛋用雏鸡日粮中添加0.2%、0.4%和0.8%的菊粉，研究菊粉对蛋雏鸡生长性能、免疫器官指数和血清免疫球蛋白的影响，以及菊粉替代抗生素对蛋雏鸡的应用效果。