查询词典 geometric difference equation

In the solution of the problems in algebraic equation, differential equation and integral equation, we usually resort the sotution of equation to the fixed point of mapping in metric space. The contraction mapping principle can be used to solve many problems of the existence and uniqueness of equation solution.

在代数方程、微分方程和积分方程的求解问题中，通常把所求的解归结为度量空间中映射的不动点，然后应用压缩映象原理来统一处理许多方程解的存在性和唯一性问题。

On the basis of gas migration equation -Darcy Law,coal seam gas content equation -parabola equation ,ideal gas state equation and the continuity equation s of the gas flow,a dynamic model of gas unilateral flow in the coal seam is set .

根据基本假设，对煤层瓦斯流动规律进行了研究，运用瓦斯运动方程—达西定律、煤层瓦斯含量方程—抛物线方程、理想气体状态方程以及气体流动的连续性方程，建立了煤层单向瓦斯流动的动力学模型，并根据边界条件和初始条件，对动力学模型进行了求解，推导出煤壁单位面积的瓦斯涌出量的计算公式，分析了瓦斯涌出量的影响因素，利用测得的数据，进行了实例计算，并用vc编制了计算机程序。

In order to obtain more general solution of second order linear differential equation with constant coefficients, which is important in theory and practice, on the basis of knowing a special of the second order linear differential equation with constant coefficients and by using the method of variation of constant, the second order linear differential equation with constant coefficients is transferred to the reduced differential equation and a general formula of the second order linear differential equation with constant coefficients is derived.

为了更多地得到理论上和应用上占有重要地位的二阶常系数线性非齐次微分方程的通解，这里使用常数变易法，在先求得二阶常系数线性齐次微分方程一个特解的情况下，将二阶常系数线性非齐次微分方程转化为可降阶的微分方程，从而给出了一种运算量较小的二阶常系数线性非齐次微分方程通解的一般公式，并且将通解公式进行了推广，实例证明该方法是可行的。

Under the condition of the slide between pile and soil around pile is taked into account,five equations are established, including the equation of compatibility between the settlement of pile cap soil and the settlement of pile cap; the equation of compatibility between the settlement of pile head soil and the settlement of pile head; the physical equation between the settlement of soil around pile shaft and the settlement of pile shaft;the equation of equilibrium between loads on the pile cap, side frictional stress and restraints of pile head; the equation of compatibility between the deformation of the pile body and the subtraction between the settlement of pile cap and the settlement of pile heap.

桩身单元和土单元存在着相互作用，在允许桩土相对滑移的前提下，建立桩顶土体沉降与桩顶沉降的协调方程、桩底土体沉降与桩端沉降的协调方程、桩土相对位移与桩侧摩阻力的物理方程、桩身力的平衡方程、桩身压缩和桩顶沉降与桩端沉降之差的协调方程。

In order to determine the solution set of the equation , by the means of meet-irreducible element and irredundant finite meet-decomposition, we first obtain the maximal solutions to the simple equation in the case that b has an irredundant finite meet-decomposition, and then consider the relation between the equation and the equation , based on this, we obtain the maximal solutions to the equation in the case that each element of the matrix B has an irredundant finite meet-decomposition and so determine its solution set completely.

为了确定方程的解集，本文利用交既约元与不可缩短的有限交分解等工具，同样地先求出简单形式的型矩阵方程的所有极大解，然后讨论方程与方程之间的关系，在此基础上，在B的每个元素均有不可缩短的有限交分解的情况下，求出了方程的所有极大解，从而完全确定了方程的解集。

One way is to regard them as the random variables submit to a certain distribution; another is to take them as a random process—— we derive random variables form any of its function's time development, and, the diffusion equation could be partially approached by a equation which is similar to the Ito stochastic integral equation so that the Ito stochastic integral equation is inter-related with the diffusion equation. Therefore, this process could basically reflect the uncertainty in different models.

PSFEM法是假定基本随机变量在均值点处产生微小摄动，利用Taylor级数把随机变量表示为确定部分和由摄动引起的随机部分，从而将有限元控制方程转化为一组线性的递推方程，求解得出位移的统计特性，进而求出应力的统计特性。

The non-isothermal kinetic data were analyzed with the Achar equation, Coats-Redfern equation, Kissinger equation, Flynn-Wall-Ozawa equation and Starink equation.The mechanism function and kinetic parameters of the thermal decomposition in the third step were obtained.The chemical reaction mechanism (F3) controlled the third thermal decomposition process.The apparent activation energy and the pre-exponential factor were 351 kJ·mol-1 and 2.57×10 30s-1 respectively.

采用Achar方程、Coats-Redfern方程、Kissinger方程、Flynn-Wall-Ozawa方程和Starink方程对非等温动力学数据进行了分析，得到了第3步热分解反应的机理函数、动力学参数和热分解反应动力学方程，其热分解反应过程受F3机理控制，表观活化能为351 kJ·mol-1，指前因子为2.57×

First the three-dimensional Hailmuhz equation of magnetotelluric field is split into two 2D equations which could be changed into 1D equation by Fourier transformation method. The two zootomic coefficients of the equation are found out by the derivation of vertical component of electromagnetic field being sufficient the equation and the boundary condition. The resolution of 1D equation can be confirmed.

首先将大地电磁场满足的三维亥姆霍兹方程降维分裂成两个二维响应方程，然后对每一个二维方程进行傅里叶变换，使二维方程变为一维方程，通过大地电磁场垂向方向的导数在地面上所满足的边界条件，确定外推方程中的两个待定系数，从而得到一维外推方程的解。

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。

The system can be widely used in belt weighing and batching process control,etc.

介绍了基于智能模糊控制的嵌入式配料系统的设计方法，对模糊PID控制过程和系统调零作了重点的讨论，同时给出了PID控制的程序流程图和系统定长调零子程序。

"I dunno," she answered,"but if you show me aroun', I'll recognize it from the lighthouse just outside the porthole."

"我不知道，"她回答说，"如果你能带我转转，我能认出来的，因为灯塔就在舷窗外。"