系数问题

The singular perturbation method is a useful tool to work with the mathematical and physical problems.

它的主要思想是将非线性的，高阶的或变系数的数学物理问题的解用所含某个小变量的渐进近似式来表示。

Lastly, we design a mechanical testing apparatus and tested some key components of vacuum vessel such as bellows, ports and support using photoelasticity and resistance strain gauge. From the test we have got lots of experimental data, which are very important for the design of vacuum vessel.

同时从结构动力学和疲劳设计的角度，分析了真空室的固有振型、频率及真空室在瞬时电磁力、地震载荷等动态载荷作用下的响应问题，理论给出了真空室在使役期内的疲劳用度累计损伤系数，评价了真空室的疲劳寿命情况。

The coefficients and comment remarks are point out for the estimation of the target.

第二段 系数和评论言论是为目标的估计问题。

The answer hinges on our ability to convert a polynomial quickly from coefficient form to point-value and vice-versa.

该问题依赖于我们将多项式从系数表示快速转换为点值表示的能力，或相反。

There is reason coefficient polynomial in there is reason few area top can't invite of judge axioms is algebra learned of important problem.

翻译一段数学上的东西，高手帮忙下'''有理系数多项式在有理数域上不可约的判定定理是代数学中的重要问题。

When the IPR method is used in the cases that there are few sources with same frequency, the matrix composed of noise eigenvectors is processed complexly. So we construct the matrix for computing the coefficient of polynomial with signal subspace.

针对IPR算法在信号较少时，噪声特征向量构成的矩阵计算量较大的问题，改进算法从信号子空间出发求出构造多项式的系数，从而求得到达角。

The discharge calculation coefficient k,x can be used to the discharge calculation under the condition of fixed numerical value,solves some special demands in water power planning and design and similar calculation of unsteady flow in the pondage water power station.

马斯京根法流量演进系数K，x，在数值不变的条件下应用于河段短时段的流量演算，解决了水利水电工程规划设计中的一些特殊要求和水电站日调节不稳定流演进的近似计算问题。

The sufficient condition of the existance and unigueness of solution is that the original main matrix is positive.

本文通过对这类数值计算问题的解的唯一性及存在性的讨论，表明了解存在且唯一的一个充分条件是原系数矩阵正定。

This article that focuses on the systematic and in-depth research in the current primal problem about abnormal burst pressure reservoir depress burst pressure has procured following main fruits:1 It forms the method which could obtain massive vertical static state mechanics parameters.2 In a foundation of acquisition of rock mechanics parameters,apply bent lamella that as mechanical model along with characteristic of actual geologic characteristics to analysis curvature for anticlinal strcture, get homologous tectonic stress value throug relation between the curvature and stress and different principal curvature in anticlinal structure,consequently set up laminational stress model for anticline reservoir. The block lamination for existed fracturing date has formed method of setting up mechanical model of lamination terrestrial stress by abtaining the block tectonic stress coefficients which are got by complex utilization test, laboratory test and fracturing date playback.3 Analysesing the main reason which lead to high burst pressure by considering the characteristic of reservoir geology,reservoir,and rock mechanics and reservoir damage,etc.Establishing burst pressure quantitative prediction model which provide gist for depressing construction risk and optimizing construction craft under the condition of open hole completion ,gun-perforated completion and damaged reservoir.4 Provding theoretical basis for interpreting acidification pretreatment which could depress busrt pressure by finding the relation between the influencing factors and rock machanics parameters and analysing the factors that have effect on rock mechanics parameters. Expounding the mechanism of reaction of mixed monomineral and acid from the angle of microcosmic element, evaluating quantitatively acid sensilility of different kinds of mineral effectively, and determing the first-order reaction dynamical equation of each mineral.5 Revealing rock mechanics property chage as a result of acid flooding in different condition by sandstone traumata experiment in different temperatures which combined with rock mechanics triaxial stress experiment.6 Associating damage mechanics with sandstone acidizing, established sandstone damage mechanics model in the foundation of the recognition on the rock mechanics parametric variation which is caused by acid-rock reaction in both macroscopic view and microscopic view ,also demonstrated those processes and quantitative estimated the acid busrt pressure to direct the site operation.

本文针对目前异常破裂压力储层降低破裂压力的主要问题展开较为系统和深入的研究，取得了以下主要成果：1形成了利用测井资料，结合室内岩芯测试结果，获取静动岩石力学参数的相关性特征，从而获得纵向上大量静态力学参数的方法。2在获取了岩石力学参数的此基础上，利用弯曲薄板作为力学模型，结合区块实际地质特征对背斜构造进行曲率分析，通过曲率与应力的关系，利用背斜构造不同部位的主曲率求得相应的构造应力值，从而建立起背斜储层的分层应力模型；对已有压裂资料的区块分层，形成了综合利用测试、室内实验、压裂资料反演获得该区块构造应力系数，建立起分层地应力的力学模型的方法。3综合考虑储层地质、油藏、岩石力学特性和储层伤害等因素，分析造成高破裂压力的主要原因，综合利用岩石力学、弹性力学等知识，建立了裸眼完井、射孔完井条件下以及储层受到伤害后的储层破裂压力定量预测模型，为降低施工风险和优化施工工艺提供了依据。4完成了物性、岩性影响岩石力学参数的因素分析，找出了各影响因素和岩石力学参数之间的关系，为从机理上解释酸化预处理降低破裂压力提供了理论基础；从微观元素的角度阐述了单矿物与酸反应的机理；并在此基础上，有效评价了各种矿物的酸敏感性，定量确定了岩石中各矿物的一级反应动力学方程。5完成了不同温度下的酸液类型、酸液浓度、注酸量等一系列砂岩损伤实验，结合岩石力学三轴应力实验，系统揭示了在不同条件下注酸而引起的岩石力学性质变化。6将损伤力学与砂岩酸化相结合，在宏观、微观两个方面认识酸岩反应引起岩石力学参数变化基础上，建立了砂岩损伤力学模型，并对其进行验证，在此基础上定量计算酸化后的破裂压力，有效指导现场施工

Through analyzing the surveying result and factors leading to cracks, it brings forth some details which should be taken care in future designing and constructing this type of bridges, such as computing theory of load transverse distribution factors, shear lags affection on web normal stress and principal stress.

通过对三门峡黄河公路大桥裂缝调查结果和产生原因的分析，提出了今后此类桥型在设计和施工中应注意的问题和细节，如：横向分布系数的计算、剪力滞效应对腹板正应力及主应力的影响等。

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。