系数问题

This conclusion can also be proved by spectrum-warping audio watermarking algorithm in MCLT domain. To discuss further deeply on why spectrum-warping technique does not have the required robustness, the studies are carried out upon the essentials of bilinear transformation. All the theoretical analysis and experiments results put the robustness of the spectrum-warping audio watermarking under questioning.

四、提出了基于量化的变换域音频水印算法中关于量化参数的选择方法量化变换系数的音频水印算法是以修改谱分量幅值为基础，算法的主要问题是如何选择量化参数以确保算法的鲁棒性和不可感知性，另外量化系数的区域选择也会影响算法的性能。

By statistic analysis for modified isochronal testing data from many wells in gas field, the well testing tech of one point method to acquire empirical equation for calculating absolute open flow potential under different work systems and by use of binomial equation coefficient to count inertia r.

通过气田多口井修正等时试井数据进行统计分析，获得了一点法试井在不同生产时间下计算无阻流量的经验公式；利用气田修正等时试井的二项式方程系数B，计算惯性阻力系数并经过曲线回归处理获得了经验关系式，很好地解决了一点法试井计算产能方程的问题。

The first model is the optimization problems with s linear objective function subject to a system of fuzzy relation equations and a system of fuzzy relation inequalities, which are solved by using path method and 0-1 integer programming with branch and bound method.

第一种为约束为模糊关系方程和模糊关系不等式的具有线性目标函数的优化问题，采用路径法及0-1整数规划中的分枝定界法对其求解；第二种为约束为模糊关系方程和模糊关系不等式的格线性规划问题，采用直接法、路径法及0-1整数规划法对其求解；第三种为模糊关系不等式为模糊的，即约束中有一个可接受的容差，采用容差法及正负理想法对其求解；第四种是一种新的可能性模糊线性规划问题，采用模糊数大小比较法、"切片-粘贴"法及正负理想法，并设计了随机模拟的遗传算法对其求解；第五种为期望值模型，利用期望值将其转化为清晰约束系数的线性规划问题的方法。

The collisions of rigid bodies is a classical problem, however, the coefficient of restitution is used in the conventional researches to study this problem. The authors present a new way for this kind of problem. A theory of the collision between two rigid bodies in two dimensions, taking account of friction, is proposed according the Newton first law. And the shortages of former researchers are justified.

刚体碰撞是力学上的一个经典问题，但目前大都采用给定恢复系数进行分析的方法，本文则直接从两刚体碰撞时Newton第二定律出发，建立了计及摩擦的两刚体碰撞基本理论，并指出了以往研究通过给定恢复系数方法的错误之处。

Considering that both the solution of the structure natural vibration frequency and mode as well as its elastic stability coefficient can transform into eigenvalue problem of the structure dynamic equilibrium equation, taking the fundamental frequency and the elastic stability coefficient of the structure as the evaluation criteria, the possible arrangements of Mi-brace and X-brace for halfthrough CFST arch bridge with 360 m span were comparatively analyzed, and the advices for the reasonable space of the Mibrace and the X-brace were advanced.

鉴于结构自振频率、振型及弹性稳定系数的求解均可转化为源自结构动力平衡方程的特征值问题，先以结构基频及弹性稳定系数为衡量标准，对一座360 m跨的中承式钢管混凝土拱桥可能的米字撑及X撑布置方案进行了分析对比，并据此提出了X撑及米字撑的合理间距。

Finally, based on the fundamental solutions of Biots consolidation of transversely isotropic saturated multi-layered soils, the Fredholm integral equation of second kind for the interaction between transversely isotropic saturated multi-layered soils and rectangular piles is established, the relevant numerical analysis is also carried out.

最后，基于横观各向同性层状饱和地基Biot固结问题的基本解答，建立了横观各向同性层状饱和地基与方形单桩、群桩共同作用问题的第二类Fredholm积分方程，并进行了数值分析与计算；通过将矩形刚性基础基底划分成若干个大小相等的矩形网格，用矩形均布荷载表示网格的基底反力，并利用已获得的横观各向同性层状饱和地基Biot固结问题的基本解来求解每个矩形网格的柔度系数，然后根据刚性基础与层状饱和地基的接触条件和其本身的静力平衡条件，求解分析了横观各向同性层状饱和地基与刚性矩形板的共同作用问题。

This paper deals with the partial capacitance calculation of the high voltage transmission line for the neutral beam injectors.

该文研究了中性束注入系统中高压传输线部分电容的求解问题；根据传输线多层同轴导电壳的结构特点，利用多重镜像法确定与平行导线相应的一系列的镜像线电荷，求解的问题变为由一系列平行线电荷构成的电场问题，传输线的部分电容则通过各导体间的电位系数来求得；这一方法避免了直接求解的困难以及大量数值计算等问题。

In accordance with these questions, one kind of method solving these issues was put forward in this text, and namely adopting mathematics to build the method of pattern, by w-ay of studying the big needle drum system of PASSIM's cigarette machine, to use the mathematical model of big needle drum system of " black box " method establishment, and uses whole parameter and the correlation coefficient to map out the big needle drum system mathematical model of least square method, the question time lapse that what in accordance with the system exists pure adopts Smith compensator to estimate the compensator in advance solving the issue of system lag, and uses whole fixed method of frequency conversion control engineering and PLC's control engineering and PID etc to put into effect transforming to the system, and finally by way of theory verify and reality to verify to prove the success of system transformation.

针对这些问题，本文提出了一种解决这些问题的办法，即采用数学建模的方法，通过研究PASSIM卷烟机大针鼓系统，利用"黑匣子"方法建立大针鼓系统的数学模型，并运用最小二乘法整定出大针鼓系统数学模型的参数及相关系数，针对系统存在的纯时滞问题，采用史密斯预估计补偿器来解决系统滞后的问题，并利用变频控制技术和PLC控制技术、PID参数整定方法等对系统实施改造，最后通过理论验证和实际验证证明了系统改造的成功。

Optimization method for symbolic problem is developed and the characteristics of the symbolic solutions are studied, and the method is coded with rule-based production systems.

本文提出的这一方法找出了问题的全部紧约束判断条件，去掉了更多的多余子问题，得到了在各种系数取值条件下问题的全部子问题。

This paper presented the relationships between roof shapes and form coefficient under wind loads, drainage and corresponding loads caused by rain. The paper also discussed the relationship between roof shape and roof structural height and span and the relationship between roof shape and connection styles. These relationships will influence both safety and price of roof structure.

阐述了屋面形状与风载体型系数、屋面排水及相应雨水荷载的关系问题，讨论了屋面结构形式与屋面跨度和厚度的关系问题、屋面形状与钢结构节点形式的关系问题，这些问题对大型场馆钢结构屋面的安全性、经济性均有显著影响。

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。