求解过程

Based on this property, by solving a series ODEs we construct a two-parametric family of helicoidal surfaces under cubic screw motion with prescribed mean curvature or Gauss curvature and solve an open problem left by Beneki.

基于这一点，当螺旋面的平均曲率或Gauss曲率为给定光滑函数时，本文选取伪正交标架，使得两类螺旋面的平均曲率和Gauss曲率的表达式相对简化，通过求解一系列的非线性常微分方程，即可确定一族生成曲线，从而最终确定平均血率或Gauss曲率为给定光滑函数的双参数族螺旋面，并在这一过程中解决了Beneki等人留下的一个公开问题。

Moreover, It's proved that if the initial point is the interior point of hypercube and steplength is confined to (0,1) when carrying out one dimension search following the direction mentioned above in order to generate next point, then any point generated by such iteration is interior point of feasible field.

在求解加辅助项模型的过程，作者找到一个很好的下降方向，并证明了只要初始点在超方体的内部选取，沿着上述的下降方向进行一维搜索时的步长限定在(0，1)范围内，那么迭代点始终保持在可行域内部。

The other solves the non-steady heat conduction equation by finite difference method.

发展了两个太阳能固体吸收式制冰机的动态模拟程序，差别在于对反应器内的传热过程采用了不同的计算方法，其一采用反应前锋假设，其二采用有限差分方法求解非稳态的热传导方程。

The purpose of briefly introduction of the establishment course and the theory of solution of the dynamic finite element equation of the bridge is based our following analysis and comparison on.

本文的主要工作有：(1)简单介绍下桥梁动力有限元方程的建立过程和求解理论，为后续的分析比较作一定的理论铺垫。

In this paper, I have made some research and innovative achievement in the following aspects:(1) In order to overcome the weakness of premature convergence and the disadvantage of local seardhing ability appearing in GA, an improved genetic algorithm which combining with Heuristic algorithm is proposed and applied in the flow shop scheduling problem.

在本论文课题的研究及应用过程中，作者做了以下主要研究工作和成果：(1)鉴于遗传算法容易出现过早收敛的问题以及局部搜索能力不强的问题，提出一种结合启发式算法改进的遗传算法，并将其运用于流水车间作业调度问题的求解。

Stochastic medium model can be used to resolve such kind of task, During the construction of cities with sustainable development capability, underground project, in contrast to ground project, is always difficult to be solved quantitatively by enclosed analytical formulator, due to the complexity of rock medium.

在建设可持续发展城市的过程中，与地面建筑相比，地下工程处在岩土介质中，由于岩土介质的复杂性，一般难以用封闭形式的解析公式定量地求解问题。

A systematic study on computing the integral curvature line on NURBS surface is presented. Discrete normal is used to simplify calculation of the second fundamental form of the surface, resulting in accelerating the Euler iteration process in solving the differential equation of curvature line. Discrete points on the curvature line are then obtained and approximated by an explicitly presented B-spline curve on the NURBS surface using singular mixed interpolation and capable of controlling the error within a given tolerance.

对NURBS曲面的曲率线的积分进行了系统的公式推导，并利用NURBS曲面的离散法向量有效地简化了曲面第二基本量的计算，加速了Euler法迭代求解曲率线微分方程的过程；在求得曲率线上的离散点集以后，应用奇异混合插值技术，在可控精度内把曲率线用显式直接表示为位于NURBS曲面上的B样条曲线。

In analysis of structure matrix, Gauss elimination method is often used to solve unknown displacement.

结构矩阵分析中，经常利用高斯消元法来求解未知位移，一般认为高斯消元仅为一种数学过程，而实际其包含着深刻的物理意义。

Based on the research of the multi-component refinery process, mechanism model and MESH equations are given. The bubble-point method and tridiagonal matrix method which is solved by Gaussian elimination algorithm are proposed.

本文针对多元精馏过程的常压塔进行了分析和研究，建立了平衡级机理模型和MESH方程组，提出采用三对角矩阵法和泡点法相结合作为模型求解的解决方案。

Finally it mathematically calculates the CRC at bit and byte level and deducts a 16-bit CRC. The calculation and deduction consolidate the CRC theory. Chapter three also introduces the modulation by two, CRC polynomial, reflection polynomial applied in noise environment and the relationship between reflection polynomial and general polynomial.

第三章首先阐述了循环冗余码与循环码的关系——循环冗余码是一种短循环码、循环冗余码具有所有循环码的很多性质；然后，简单介绍循环冗余码的编码、译码原理和实现；最后，从普通数学的角度，分别用按比特、按字节求解CRC，详细推导了校验码宽度为16的CRC的理论过程，进一步为循环冗余码的研究提供有力的理论基础。

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。