查询词典 mal posed problem

Genetic algorithm for regularize inversion is designed, which can avoid linearization difficulty in the nonlinear problem and solve the ill-posed problem in magnetotelluric inversion.

设计了基于正则化反演的实数编码混合遗传算法，避免了非线性问题的线性化困难，并较好的解决了大地电磁测深反演的不适定性和非唯一性。

The paper gives a special discussion of regularization method in inverse problem. On this basis, an ideal solution for ill-posed problem is built-the best disturbed iteration.

论述了反问题的高度非线性及求解的不适定性，分析了反问题求解的各种方法，并对在反问题求解过程中经常遇到的一类离散不适定问题进行了详细地分析和研究，并给出了具体的算法。

Numerical examples show that the method works effectively.关键词: Cauchy problem for Laplace equation, Ill-posed problem, Mollification method.

遗憾的是审稿人对该类问题的理论及数值分析方面的研究现状了解甚少，因而难以给出进一步的评价，但审稿人认为在理论上这是一个很好的结果。

The latter have been seeking for an appropriate algorithm for solving an optimization problem expressed in a form of error norm between estimates from a proper forward model of light propagation in tissue and the measurements. Mathematically, this posed an ill-conditioned inverse problem.

间接法的核心是寻找解优化问题的合适的算法，此优化问题表示为正向模型和测量值间的误差范数形式，在数学上这是一个病态的非线性逆问题。

In chapter II,the preliminary knowledgefor accomplishing this research is presented,and the well-posed problem ofthe thin-plate flow of non-Newtonian viscous fluids is testified.By using themonotone operator theory and Schauder's fixed point theorem,the generalizedsolution's existence and uniqueness theorem for the thin-plate flow problem ofnon-Newtonian viscous fluids is obtained under reasonable conditions.

第二章给出了进行本项研究所需的一些预备知识，对非牛顿粘性流体薄板流问题广义解的适定性进行了研究，应用单调算子理论和不动点定理，在合理的条件下，证明了非牛顿粘性流体薄板流问题广义解的存在性，唯一性定理。

There are series of papers studying the solvability of an incompressible, viscous, instationary fluid contained in a domian bounded entirely by a free surface. In 1977, Solonnikov proved its local solvability in a Holder space for any initial date but without surface tension. In 1984, he considered the same problem in a Sobolev space with surface tension being taken into account. In I992, Mogilevskii and Solonnikov treated the same problem in a Holder space, where the coefficient of surface tension is not a constant. There are also short-time existence results for the solvability of an incompressible, vicous, unsteady fluid bounded above by a free surface and below by a fixed bottom which approach horizontal planes at infinity. In 1981, Beale proved its local solvability in a Sobolev space for any initial date but without surface tension. In 1983, Allain were concerned with the same problem in R〓 with surface tension but under the assumption that the initial fluid domain was near a horizontal strip. In 1987, he obtained the same result without the preceding assumption. In 1996, Tani solved the same problem in R with surface tension. For the solvability of an incompressible viscous instationary fluid in Ω R bounded inside by a free surface S and outside by a rotating boundary S, in 1995 Ciuperca proved its local existence in a Sobolev space for any initial date but without surface tension. In this paper, we consider the same problem with surface tension.

对于边界完全是由自由边界组成的有界区域中粘性不可压流体的非定常运动问题，Solonnikcv于1977年在忽略表面张力情况下证明了初值问题小时间解在Holder空间的存在性，于1984年在有表面张力情况下证明了初值问题问题小时间解在Sobolev空间的存在性，Mogilevskii和Solonnikov于1992年在表面张力系数可以不是常数情况下证明了初值问题小时间解在Holder空间的存在性；对于上面是自由边界、下面是固定边界且两边界在无限处趋于水平的无限区域中粘性不可压流体的非定常运动问题，Beale于1981年在忽略表面张力情况下证明了初值问题小时间解在Sobolev空间的存在性，Allain于1983年在有表面张力情况下证明了R中初值问题小时间解在Sobolev空间的存在性，但其中假定初始区域近似是个水平条，他于1987年去掉了这个假定得到同样的结果，Tani于1996年在有表面张力情况下证明了R中初值问题小时间解在Sobolev空间的存在性；对于R中内面是自由边界、外面是旋转边界S的有界区域中粘性不可压流体的非定常运动问题，Ciuperca于1995年在忽略表面张力情况下证明了初值问题小时间解在Sobolev空间的存在性，本文考虑了在有表面张力情况下初值问题可解性问题。

The purpose of this dissertation lies in perfecting relative laws of administration of medical waste,according to the lawmaking and law system of foreign countries.meanwhile,the notion is provided to consummate relative law system and achieve the purpose of holding in the administration of medical waste,environment protect and human health.this dissertation puts forward first-step conceivableness of perfecting lawmaking and law system concerning the administration to disposal of medical waste.because our country's law system concerning medical waste is too immovable and abstract,this research will make our country's law system of the medical waste more concrete and more definite,which will strengthen the operability in the fulfillment and make the lawmaking spirit embodied.simultaneously it provides legal basis and policy support for the administration to disposal of medical waste.the problem of the administration of medical waste enlarges the difficulties of disposal process.to perfect lawmaking,law-executing,law-supervising.is advantageous to strengthen the administration to disposal of medical waste of our country.meanwhile it has theoretic meaning and application value for environment safety and human health.this dissertation is totally divided into four parts.the first part explains the current condition of the administration to disposal of medical waste of our country,which introduces the concept of medical waste,the harm of medical waste,the necessity of administration, current lawmaking condition and present law system of the medical waste.the second part introduces the general situation of lawmaking concerning the administration to disposal of medical waste of the united states,eu,japan and korea.simultaneously it explains the apocalypse of administration to disposal of medical waste of our country.the third part points out the existent law problem of the administration to disposal of medical waste,including lawmaking problem,law enforcement problem and law system problem.the fourth part aims at the relative suggestions to the existent law problems of the administration to disposal of medical waste of our country.the suggestions want to raise lawmaking layer,perfect lawmaking contents,strengthens law enforcement,practice the law system of the manufacturer to be responsible for the medical waste.meanwhile,it gives the advice on the punishment-compensation system,the conduct permit system and the risk fund system.

本论文研究的目的在于借鉴国外有关医疗废物在立法、执法、法律制度等方面的经验，完善适合我国医疗废物管理的相关法律，提出我国有关医疗废物管理的立法构想，完善各项相关的法律制度，以达到规范医疗废物管理、保护环境、保护人类健康的目的。本论文为完善我国医疗废物管理的立法、执法和法律制度提出初步设想，由于我国有关医疗废物的法律制度规定得太原则、太抽象，通过本论文研究，使得我国医疗废物法律制度更具体、更明确，增强在实践中的操作性，使立法精神充分得到体现。同时可以为我国医疗废物管理工作提供法理依据和决策支持。我国医疗废物管理体制的问题加大了医疗废物治理的难度，立法、执法、监督等方面的完善有利于加强对我国医疗废物的管理；在保障可持续发展的环境安全和人类健康领域也具有理论意义和应用价值。本文共分为四个部分，第一部分说明了我国目前医疗废物管理的现状，介绍了医疗废物的概念、危害、进行管理的必要性、当前我国医疗废物的立法现状和法律制度现状。第二部分介绍了美国、欧盟、日本、韩国关于医疗废物管理的立法概况及对我国医疗废物管理的启示。第三部分指出了我国医疗废物管理存在的法律问题，包括立法问题、执法问题和法律制度问题。第四部分针对我国医疗废物管理存在的法律问题提出了相应的建议。建议要提高立法层次、完善立法内容、加强执法力度、实行生产者负责分类回收的法律制度、集中处置法律制度、惩罚性赔偿制度、经营许可证制度、环境责任保险制度和风险基金制度。

Firstly, the approach formulates a cost functional to turn the inverse problem into a constrained minimization problem according to least squares criterion, then the resulting constrained minimization problem is transformed into an unconstrained minimization problem by using a penalty function technique, and then the closed Fr chet derivatives of the Lagrange function with respect to the properties are derived based on the calculus of variations, finally, one can solve the resulting problem by using any gradient-based algorithm and the finite-difference time-domain method.

该方法首先以最小二乘准则构造目标函数，将逆问题表示为约束最小化问题；接着应用罚函数法转化为无约束最小化问题；然后基于变分计算导出闭式的拉格朗日函数关于特征参数的Fr chet导数；最后借助梯度算法和时域有限差分法迭代反演德拜模型参数。

Market malfunction is caused by the following five aspects, information problem, exterior problem, monopoly problem, short-term action problem and distribution problem, which needs government control.

市场失灵是由信息问题、外部性问题、垄断问题、行为短期化问题和分配问题等五个方面造成的，需要政府来管制。

The second chapter is the main part of this paper, in which the formulation of the Riemann boundary value problem of non-normal type on the real axis, the solution method of homogeneous problem, the relation between the two kinds of different derivatives and the inhomogeneous problem will be thoroughly given. In this paper, the solution and the solvability of the Riemann boundary value problem of non-normal type on the real axis will be given. Furthermore, it is shown that the twokinds of derivatives of the function Ψ are existing and equivalent in the case ofthe solution about the original problem, therefore, we get uniformly Hermite interpolatory polynomial. The relation between the two kinds of different derivativesof the function Ψ are similar for smooth closed contours by means of the same proof.

第二章是本文的主要部分，分别给出了实轴上一类非正则型Riemann边值问题的提法、齐次问题的解法、两种导数的关系及非齐次问题的求解，本文运用杜金元教授[11]的方法获得了实轴上非正则型Riemann边值问题的封闭解及可解性条件，且在问题可解的情况下论证了函数Ψ的非切向极限导数和Peano导数存在且相等，从而获得了统一的Hermite插值多项式，同样关于封闭曲线上非正则型Riemann边值问题，采用本文论证方法证得了函数Ψ的非切向极限导数和Peano导数存在且相等，从而较好地统一了[10]、[11]中的Hermite插值多项式。

Diabetes is a social disease that affects several million people worldwide.

糖尿病是一个社会性疾病，全世界有数百万人罹患此病。

I'll call you on Friday to see if we can reschedule our luncheon meeting at your convenience.

我星期五会给您打电话在您方便的时候我们重新安排我们的午餐约会。