系数问题

By using the method for positive term resolution of equations of higher degree, all non-zero real roots of a real coefficient equation of higher degreewere obtained by determiningthe abscissas of intersection points of two monotonically increasing concave functions in the first quadrant of a planar rectangular coordinate system.

用高次方程正项分解方法，将求解实系数高次方程非零实数根的问题，转化成求解两单调上升凹函数在平面直角系第一象限内交点横坐标的等价问题；给出了基于共享存储多指令流多数据流并行计算模型求解任意实系数高次方程全部实数根的大范围收敛性异步并行迭代算法，并分析了算法计算的复杂程度。

In order to avoid the repetition, we find a group of coefficients that are generated with field and its gradient data. To establish explicit linear relation between structural index based on the linear relation, depth is calculated when calculated parameters are given without touching the field data. Accordingly, it can avoid the repetition of Euler's equation calculation and greatly reduce the works load as well as enhance efficiency.

为了避免这种重复，这里找到了一组系数，该系数与场值及其梯度值有关，并直接建立起场源位置与构造指数N简单的对应关系，从而把解欧拉方程的最小二乘问题转化成了解线性方程的问题，避免了解欧拉方程组时的重复计算，大大地减少了计算工作量，有效地提高了工作效率。

With the idea of finite approximation, we study a new solution method for the satellite altimetry problem. Our result shows that if the continental part of the earth is sphere cap, then the solution of satellite altimetry problem can be transformed into a linear system of equations with variants of the coefficients of spherical harmonic series. We prove that the linear system of equations is separated about the orders of spherical harmonic series.

研究了球界面下卫星测高问题的解法，利用有限逼近方法得到了下列结论：若陆地部分是球冠，则卫星测高问题的解可以转换成关于球谐级数位系数的线性方程组，并且位系数的阶和次是以分离形式出现的，从而确保该解法具有实用意义。

Analyzing the problems on the industrial structure in Peripheral Zone of Bohai Sea with structure similar coefficient and product specialization coefficient, and measuring the level of interlocal division of labor by the index of location quotient square-error( LQS[2]), as a result, in the manufacturing structure there exists duplication to some extent, while in the manufacturing products structure, the duplication is less serious.

从结构相似系数和产品专业化系数两个指标分别分析环渤海地区产业结构问题，用区位商方差(LQS[2])测度区域内工业行业的区际分工程度。分析表明：该区域制造业结构虽存在相当程度的趋同现象，但产品结构趋同程度较弱，基本不存在同构问题。

Special attention should be paid when we apply the decomposition method to two-point boundary value problems, it is necessary to solve a algebraic system;It should be noted that a modification of inverse operator should be made when dealing with singular boundary value problems;Laplace transform and Pade approximants can be coupled to enhance the efficiency of the decomposition method.

比如，在求解两点边值问题时就需要特别注意，这时需要采用待定系数法，最后会涉及到系数方程组的求解；在处理奇异边值问题时需要重新定义逆运算；不少研究人员还把分解方法与Laplace变换和Padé逼近相结合来进一步提高分解方法的精度。

The article deduces the general expression for the recovery coefficient in solution of dynamic collision, based on on-dimension face-to-face collision and law of particle momentum conservation.

从一维正碰着手，应用质点动量定律，推导出力学碰撞问题中恢复系数的一般表达式，为我们正确理解恢复系数，解决与此相关的问题提供理论支持。

By applying one couple of unit force on two suspension centers based on 3D FEM to calculate their relative displacement, coefficient of torsion displacement, the radial gate s torsional rigidity coefficient is derived; and its stress distribution is analyzed to solve radial gate s torsion problem.

基于空间有限单元法，对闸门吊点施加1对单位力计算出2个吊点的相对位移———闸门扭转挠度系数，进而推算出闸门抗扭刚度系数和单位位移下的应力状态，据此最终解决弧门的扭转问题。并通过某一工程实例的分析计算，表明该方法在生产设计中具有较好的实用性，可以有效地解决弧形闸门的扭转计算问题

The combination of Domain Decomposition Method and Monte Carlo method makes it possible to calculate parallelly in time and space zone.

通过引入辐射传递系数，将该系数的计算与能量方程的求解分离，从而分离了计算的难点，使得在时间域上能把整个问题分解为若干个子问题并行处理。

An 1-D sediment mathematic model is developed in the second part. Techniques are suggested for some problems in calculations, such as the effective suspended load carrying capacity of the different bed material reach, the coefficient of suspended load carrying capacity, the recovering coefficient of the carrying capacity, the thickness of the mixed layer, the transport width of the bedload, bifurcation and confluence of main and branch channel, and the distribution of deposition and erosion along the cross section, etc. The numerical scheme of 1-D model is induced.

第二部分建立了一维泥沙数学模型，对计算中的几个关键问题提出了处理方法，如不同床沙组成河段的有效挟沙力、挟沙力系数、挟沙力的恢复饱和系数、床面混合层厚度、推移质输移带宽度、干支流入汇及分流问题、横断面冲淤形态及断面修正方法，导出了一维模型的差分格式。

Currently some obvious defects can be found in existing double flat thermal conductivity instrument such as long time measuring,complicated operation etc.

现有的平板式导热系数测定仪存在测量时间长，操作不便等问题。针对这些问题，本课题研制了一种以微处理器ARM为核心的新型双平板式导热系数测定仪。

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。