查询词典 hilbert problems

The introduction of line searches requires the solution of sub-problems must be a dropped direction, that is g T k δ k 0, In this paper, we study the existed methods of solving sub-problems, prove Zhang and Xun 1999's dogleg method and Steihaug 1983's conjugate gradient method to meet the condition of adequate decrease, then the solution can be used in line search.

引入线搜索要求子问题的解必须是下降方向，即g T k δ k 0，本文研究了现存的子问题的求解方法，证明了Zhang和Xun1999折线法、Steihaug1983共轭梯度法满足"充分下降条件"，得到的解可以安全实施线搜索。

However, in some situations, models are hard to satisfy these assumptions at the same time. We meet a number of random errors with serial correlation and heteroscedasticity in practical problems. The rationality of these assumptions for random errors is doubtable. Therefore, it is necessary to test for correlation and heteroscedasticity in regression, which is an important step of dealing with regression problems and plays an important role in theory and practice.

但实际问题中，回归模型很难同时满足Gauss-Markov的三个假设，人们在实际问题中发现许多随机误差出现序列相关和方差不同的现象，因此对回归模型的随机误差的独立性和方差齐性的假设产生了质疑，从而展开了回归模型的相关性和异方差检验的研究，它是处理回归问题的重要步骤，在理论和应用上都有十分重要的意义。

In system of sth resembling a net of converse content drift net, the design arrangement that reclaims to central optional location locates and carry method is two serious research problems, before research is this two problems consider alone, cause a system to join to be perfected not quite.

在逆向物流网络系统中，回收中心的选址定位和运输路径的设计安排是两个重要的研究问题，以往的研究都是将这两个问题单独考虑，致使系统衔接不够完善。

This book also studies the problems of fault processing in geological mapping, and cross section making, as well as related problems of variogram estimation, and dual form of Kriging estimation.

本书还讨论了地质绘图过程中断层处理的问题，和剖面图绘制问题，以及变异函数估算中有关问题，和克里金估计方法的对偶形问题。

The main problems that the patient suffered from are: 1. The dejecta is leaked to vagina for unknown reason; 2. The break happened in the suture the fifth day after the 3rd duodenostomy surgery, and therefore, the dejecta is out from here instead of the ostomy tube made in the 2nd surgery; 3. A 15-centimeter-long wound by the surgery does not heal for a long time. All these problems could not be solved for a long time. For these reasons, the patient has already suffered from these and stayed in bed for nearly 3 months.

病人现在的主要问题是：一是阴道内出大便，二是第三次手术小肠缝合处在第五天接口崩开，现所有大便从小肠漏口排出，而原直肠造漏口不再有大便排出，三是腹部长约15公分手术刀口一直开敞而不愈合，国内的医生对病人的病情没有解决办法，致使病人已经卧床将近3个月不能下床，每天遭受着病痛的折磨，过着地狱般的生活。

For the problems to minimize the sum of earliness penalties and resource constrained problems, the optimal algorithms are given.

对目标函数为极小化提前惩罚和问题和资源约束问题给出了最优算法。

This paper introduces the application of irregular triangulation network method in the calculation of earthwork engineering,and the problems which should be paid more attention in the process,and put forward the methods to solve the problems.

介绍了不规则三角网法在土方量现实工程中的应用，利用此法在现实工程中应注意的问题，提出了解决问题的办法。

The purpose of this paper is to investigate the representation problems of strong efficient solutions by generalized saddle point in nearly cone-subconvexlike set-valued vector optimization problems.

1引言近几年，集值映射的广义凸性倍受一些学者的关注，这主要是由于在集值向量优化理论的证明中它能代替凸性要求。

Neural network method for solving generalized eigenvalue and eigenvector problems is discussed, including problems about the network model and its convergence.

讨论了广义特征根问题求解的神经网络方法，包括网络模型，稳定性问题等。

The schemes presented in the present paper can be used for solving general problems, and their basic ideas can be directly used for treating elastic scattering problems as well as for establishing schemes for velocity and density inversion.

所建立的数值计算方案具有普遍的适用性，其基本思想可以直接用于解决弹性波散射的数值模拟问题并用于反演密度和速度。

Molecular Distillation is a kind of high vacuum distillation method, which is suitable for the separation of high boiling, heat sensitivity and viscidity products.

分子蒸馏技术是一种在高真空条件下进行的连续蒸馏过程，适合于分离高沸点、热敏性及具有生物活性的混合物。

They are to the Noughties what yuppies were to the Eighties .

那在六十年代是时髦的，但在八十年代肯定是过时了