数值

This paper first analyses the stress acting on the cable by means of tiny segment analytical methods, establishes cable's stress equation, and finds out the relation between the tethered aerostat's position and its stress acting by cable; then, based on the momentum and moment of momentum theorem, the longitudinal nonlinear dynamic equation is established; Finally a numerical simulation of dynamic responses of the balloon and cable to gust are carried out.

本文首先通过微段分析法对缆绳进行受力分析，建立缆绳的受力方程，找出了系留气球在空中的位置同系留气球所受缆绳拉力的关系；然后根据动量和动量矩定理建立了球体的纵向非线性运动方程；最后通过数值仿真计算，对系留气球的纵向动态响应特性进行了分析。

First, we introduce and discuss the various methods of multivariate polynomial interpolation in the literature. Based on this study, we state multivariate Lagrange interpolation over again from algebraic geometry viewpoint:Given different interpolation nodes A1,A2 .....,An in the affine n-dimensional space Kn, and accordingly function values fi(i = 1,..., m), the question is how to find a polynomial p K[x1, x2,...,xn] satisfying the interpolation conditions:where X=(x1,X2,....,xn). Similarly with univariate problem, we have provedTheorem If the monomial ordering is given, a minimal ordering polynomial satisfying conditions (1) is uniquely exsisted.Such a polynomial can be computed by the Lagrange-Hermite interpolation algorithm introduced in chapter 2. Another statement for Lagrange interpolation problem is:Given monomials 1 ,2 ,.....,m from low degree to high one with respect to the ordering, some arbitrary values fi(i= 1,..., m), find a polynomial p, such thatIf there uniquely exists such an interpolation polynomial p{X, the interpolation problem is called properly posed.

文中首先对现有的多元多项式插值方法作了一个介绍和评述，在此基础上我们从代数几何观点重新讨论了多元Lagrange插值问题：给定n维仿射空间K~n中两两互异的点A_1，A_2，…，A_m，在结点A_i处给定函数值f_i(i=1，…，m)，构造多项式p∈K[X_1，X_2，…，X_n]，满足Lagrange插值条件：p=f_i，i=1，…，m (1)其中X=(X_1，X_2，…，X_n)，与一元情形相似地，本文证明了定理满足插值条件(1)的多项式存在，并且按"序"最低的多项式是唯一的，上述多项式可利用第二章介绍的Lagrange-Hermite插值算法求出，Lagrange插值另一种描述是：按序从低到高给定单项式ω_1，ω_2，…，ω_m，对任意给定的f_1，f_2，…，f_m，构造多项式p，满足插值条件：p=sum from i=1 to m=Ai=f_i，i=1，…，m (2)如果插值多项式p存在且唯一，则称插值问题适定。

The calculation result indicates that the construction method of the connecting tunnels is reasonable, and it also has a guidance function on tunnels construction and the affirmance of stratum reinforcement region.

得出过站区隧道施工引起的地层沉降和塑性区分布，数值计算结果表明过站区施工方案是合理可行的，计算结论为地层加固范围提供了依据，对过站区隧道施工有指导作用。

Based on these recognitions, by the analysis of production method, development formation division, development well grid and well spacing, single well daily rate and recovery efficiency prediction, etc, a development plan was brought to effect: it is all around affusion and made the oil-well of east fault sparse, and predicted the recovery efficiency of 55%, provide a sound foundation for the future development in the area.

在此认识的基础上，通过开采方式、开发层系划分、开发井网和井距、单井日产能力、采收率预测等研究，确立了边外注水+断层东油井抽稀，断层西少部署一排油井的开发方案，利用数值模拟方法，预测采收率为55%，完成油藏开发方案的设计，为该区下一步开发提供了有力依据。

The numerical calculation method of infrared radiant intensity of exhaust system of turbine engine without afterburning was studied.

研究了非加力涡轮发动机排气系统红外辐射强度的数值计算方法。

Keywords: Afterburning Efficiency;Solid Ducked Rocket;numerical simulation;Boron;Solid Propellant

中文关键词：二次燃烧效率；固冲发动机；数值模拟；硼；固体推进剂

VC++6.0 is used to compile Numerical simulation system of large forging in quenching process, and pretreatment and aftertreatment programs are integrated with calculating program, so that this program can be used easily.

考虑到程序的通用性和易用性，采用VC++6.0编制了大型锻件淬火过程数值模拟系统，将前后处理程序与计算程序集成。

The two results are very close and in the static state they show good agrement with the actual situation of the slope, provig high accuracy of the present model test and numerical calculation.

两者规律一致、结果相近且在静态情况下与现场实际相符，证明本文模型试验与数值计算的正确性。

Compared with the preoperative valuafter the operation, neither AHI nor ODI changed in the control group.

将术前和术后的数值进行比较，对照组志愿者的 AHI 和 ODI 都没有改变。

Use numeric calculative method, serve as loss of constant false alarm and false alarm aiguille respectively measure algorithm to be below much target and clutter brim environment the standard of function actor bad.

采用数值计算的方法，将恒虚警损失及虚警尖峰分别作为衡量算法在多目标和杂波边缘环境下性能优劣的标准。

The split between the two groups can hardly be papered over.

这两个团体间的分歧难以掩饰。

This approach not only encourages a greater number of responses, but minimizes the likelihood of stale groupthink.

这种做法不仅鼓励了更多的反应，而且减少跟风的可能性。