非公式的

The proposed method has the merit that the numerical characteristics of stochastic temperature field response can be obtained by analyzing the random temperature field just in one time.3. Perturbed numerical algorithm of nonprobabilistic convex set theoretical models on the temperature fieldThe uncertain parameters of physical parameters and initial boundary conditions of heat conduction are described by the convex model. The perturbation formulas of the upper and lower bounds of temperature field response with unknown-but-bounded parameters are given via the combination of matrix perturbation theory and the convex set theory model.4. Numerical analysis for transient temperature field with interval parametersConsidering the uncertainties of the transient heat transfer, the physical parameters and initial boundary conditions are regarded as interval variables.

该方法具有只进行一次随机温度场分析便可以获得其响应的数字特征的优点。3、温度场的非概率凸集合理论模型的摄动数值解法将结构导热的物理参数、温度场的初始和边界条件等不确定性参数以凸模型加以描述，基于矩阵摄动理论和处理不确定问题的凸集合理论模型的结合，导出有界不确定参数瞬态温度场响应所在集合的上、下界摄动计算公式。4、具有区间参数的瞬态温度场数值分析考虑结构瞬态热传导问题的不确定性，将结构各物理参数和温度的初、边值条件均视为区间变量。

Firstly, the equation for stress intensity factors under static uniform pressure is used as the reference case, and then the weight function for a thick-walled cylinder containing a radial edge crack can be worked out. Secondly, the dynamic stresses in uncracked thick-walled cylinders are solved under internal impulsive pressure by using mode shape function method. The solution consists of a quasi-static solution satisfying inhomogeneous boundary conditions and a dynamic solution satisfying homogeneous boundary conditions, and the history and distribution of dynamic stresses in thick-walled cylinders are derived in terms of Fourier–Bessel series. Finally, the dynamic stress intensity factor equations for thick-walled cylinder containing a radial edge crack subjected to internal impulsive pressure are given by dynamic weight function method.

首先采用静态内压下的应力强度因子作为参考解，得到了带径向边裂纹厚壁圆筒的权函数；然后用振型函数方法推导无裂纹厚壁圆筒在冲击内压下的动应力响应，分析中将相应的弹性动力学方程解分为满足非齐次边界条件的准静态解和满足齐次边界条件的动态解的叠加，利用傅立叶-贝塞尔级数展开，推导出了厚壁圆筒内动应力的响应历程和分布规律；最后由动应力权函数方法导出带径向边裂纹厚壁筒在冲击内压下的动态应力强度因子计算公式。

Using the method of linear response theory in lattice dynamics on the basis of Tyson's model, the response displacements of atoms on cleavage plane at the incipience of brittle fracture was derived and an expression for evaluating brittle fracture surface energy of metals was found.

本文在Tyson模型的基础上，应用点阵动力学线性响应的理论方法，导出了脆断发生时解理面上原子的响应位移，并进而给出金属脆断表面能的计算公式。这种处理方式既保持了解理断裂面是结晶的表现，避免了局域"熔化"和"沸腾"模拟脆断的简单模型中出现的非晶化问题，也对解理面上原子临界位移做了合理估计，避免了人为规定临界位移的随意性，同时，从理论上得出的脆断时产生的声发射信号与实际探测到的量级相近。

The reference crop evapotranspiration(ET0) in Guanzhong region was calculated with the Penman-Monteith equation. The change characteristics of meteorological factors and ET0 over year were analyzed. The regressing relation between ET0 and geography factors was established. Space distribution of ET0 based digital elevation model was obtained. The water consumption model of main cropes was established using the crop cofficient method. The irrigation water requirement of main crop and it's space distribution based DEM under the different precipitation probability was obtained, which advanced the calculation precision of ET0 from spot scal to regional scal. The concept of water consumption under the irrigational scal was proposed. The water consumption model of different water user and model of groundwater balance based on the water consumption of Baojixia irrigation district was established. Which can refects the relation between water utilization, water consumption and change amount of groundwater resouces.

深入分析了关中地区气象要素的变化趋势，用Penman-Montainth 公式计算了参考作物蒸发蒸腾量（ET0），建立了ET0与地理要素的多元回归关系，获得了基于数字高程模型DEM的关中地区ET0的空间分布图；用作物系数法建立了关中主要作物生育期耗水模型，获得了主要作物在不同降雨条件下的灌溉需水，以及基于DEM的主要作物灌溉需水空间分布图，提高了作物蒸发蒸腾量由点到面尺度转换过程中的估算精度；界定了灌区尺度的耗水量的概念，包括用水耗水和非用水耗水，建立了灌区耗水量计算模型及基于耗水量变化的浅层地下水均衡模型，能较好地反映灌区引水量、耗水量及地下水蓄变量之间的内在关系。

Theequivalence percolation resistance law is accurate enough to be used in productivitycalculation of horizontal well pattern.(3) Productivity of mixed well pattern of horizontalwell or multilateral horizontal well and vertical well is constructed and formulae are simpleenough to be used in the oilfield. The patterns include 5-spot pattern,7-spot pattern and9-spot pattern.(4) Productivity formula of united rectangular well pattern of horizontaland vertical wells is constructed. By this formula, the calculation results show that fora horizontal well length, there is a shape factor at which the productivity of the patternis biggest. So optimum method of the well pattern is proposed.(5) A new concept ofdimensionless length of horizontal well is advanced and the relationship of optimum shapefactor of the rectangular well pattern against dimensionless length of horizontal well ispresented. The influences of length of the horizontal well, area of the well pattern unitand the thickness of reservior are concerned.

利用该公式计算表明：当水平井长度一定时，存在一个最优井网形状，使得水平井的产能最大，在此基础上提出了水平井井网的优化方法；(5)提出了水平井无因次长度的概念，给出了联合井网最优井网形状因子与水平井无因次长度的关系式，并对水平井长度、油层厚度及井网面积对产能的影响进行了分析；(6)推导出了一无限水平井井排在XY 平面内势的解析解，为不同水平井整体开发井网或水平井和直井井网整体开发渗流理论的研究奠定了理论基础；(7)建立了交错式水平井与直井整体开发渗流理论，给出了拟三维条件下井网产能的精确解析解及该井网最优井网形状因子与水平井无因次长度的关系，并对产能的影响因素进行了分析；(8)建立了水平井与水平井正排列井网、交错排列井网条件下渗流理论及井网产能在拟三维条件下的精确解析解，给出了交错井网条件下最优井网形状因子与水平井无因次长度的关系，通过与正方形井网对比，说明优化井网可大幅度提高开采效果；(9)建立了分支水平井和直井面积井网水油两相非活塞驱替条件下渗流问题的解析解，给出了见水前后无因次产量与无因次时间的关系式以及见水时间等。

Spectral efficiency equations are derived for both systems with and without channel prediction. Numerical results show that systems with channel prediction can get maximum spectral efficiency while systems without channel prediction but chosen optimum packet length can get suboptimum frequency efficiency, which is inversely proportional to Doppler frequency.

推导了信道预测和没有信道预测的自适应调制系统的频谱效率公式，分析结果表明对于自适应调制系统，信道预测的系统频谱效率是最优的，非信道预测系统根据信道情况选择最优帧长可以获得该系统的最优系统频谱效率，但它是低于信道预测的频谱效率的，而且是随多普勒频率的增大而逐渐减小的。

The distribution of gear's contact stress, root stress, and contact engagement line in the engagement situation of gear pairs, were obtained on the base of explicit integration method. 3. Adopting the method of system matrix, the torsional vibration differential equation of general shafting was gained. The simple harmonic forms of excitation torque under the normal combustion or piston flameout of in-line engine and v-type engine were analysed. The decoupled algorithm of free vibration and forced vibration and the solution to the vibration damper's energy of resistance and the off-resonance calculation were studied. The sensitivity formulations of the natural frequency and vibration mode to physical parameters of system were derived by solving the eigenvalue problem. These sensitivity formulations provided the theoretical base for the dynamic modification of structure.

运用系统矩阵法建立了轴系的扭振微分方程，并对直列和V型发动机在正常发火和气缸熄火工况下的激振力矩进行了详细的简谐分析；基于精确方法推导了自由振动和强迫振动的解耦算法，给出了能量法计算中的减振器阻尼功求解和非共振计算方法；并研究了曲轴系扭振非线性分析中的变惯量问题，得到了单缸转动惯量的精确求解公式以及变惯量和固有频率的关系式；最后，从特征方程和振型正交性出发，推导了固有频率和振型对轴系转动惯量和刚度等物理参数的灵敏度，为扭振系统的结构动力学修改提供了理论基础。

As a application of this theory, we discussed the interpolation problems in which the nodes are ununiform rectanglar grids in real space. We gave the lowest interpolation bases of nodes in rectanglar and sidestep-shaped area. Another application is for finite elements theory. We mainly discussed finite elements of Hermite-Birkhoff type interpolation and gave a new algorithms for a interpolation bases.

作为上述理论的具体应用，我们一方面讨论了插值节点为实空间上的非均匀矩形格点的插值问题，主要给出了矩形区域和阶梯形区域中格点上插值问题的按序最低的插值基的一般公式，另一方面我们研究了多元插值在有限元中的应用，主要是针对Hermite-Birkhoff型插值的有限元给出了计算插值基函数的算法。

The insiders consist of traditional insiders, constructive insiders, tippers, tippees and misappropriators. The inside information must be unpublished and sensitive to securities' prices. The formulas of counting the damages are proposed. The doctrine of liability fixation should adopt the principle of constructive wrongs. The securities law should directly construct the causality, which relieves the average investors' burdens of proof in order to protect their benefit.

本文提出应将内幕交易主体区分为传统内幕人、推定内幕人、泄露信息者、接受信息者、盗用消息者等几类，并分别予以阐述；内幕信息则需具有两个最重要的条件——非公开及价格敏感性；在损害事实的确定问题上，提出了计算受害方的损失数额的公式，并指出以内幕交易者的全部非法所得为限进行民事赔偿比较公平合理；鉴于受害者无法确知内幕交易者的主观心理状态，在归责原则上宜采过错推定原则；在因果关系的证明上，从保护受害者的角度出发，应采美国做法，立法直接推定因果关系存在，明确规定受害者有损害求偿权，而毋需承担因果关系的举证责任。

In the United States, chronic alcoholism and hepatitis C are the most common ones.

在美国，慢性酒精中毒，肝炎是最常见的。

If you have any questions, you can contact me anytime.

如果有任何问题，你可以随时联系我。