查询词典 one dimensional boundary value problem

Compared with the initial value problems of scalar conservation laws with smooth flux function, the global weak entropy solutions for the initial-boundary value problems of scalar conservation laws with weak discontinuous flux function include the following new interaction types: a rarefaction wave collides with the boundary and is absorbed compltetely or partially by the boundary; a rarefaction wave collides with the boundary and the boundary will reflect a contact or non-contact shock wave; a contact or non-contact shock wave collides with the boundary and is absorbed by the boundary; a contact or non-contact shock wave collides with the boundary and a new non-contact shock will rebound from the boundary simultaneously or later.

与具有光滑流函数的单个守恒律的初始值问题相比，具有弱间断流函数的单个守恒律初边值问题的整体弱熵解中包括下列新的相互作用类型：稀疏波碰到边界并被边界部分或全部吸收；稀疏波与边界相撞，边界反射出一个接触或非接触激波；接触或非接触激波碰到边界并被边界吸收；接触或非接触激波与边界相撞，边界同时或稍后反射出一个新的非接触激波。

For reducing boundary distortion area, the elevations of grid DEM are viewed as a discrete sequence under a generalized coordinate, so that the boundary problem of two-dimensional discrete wavelet transform is turned into the boundary problem of one-dimensional discrete wavelet transform, which not only greatly reduces the boundary distortion area, improves the precision of reconstructed DEM data near the boundary, but also decreases the number of zeros adding on the boundary for wavelet transform, and boosts the compression ratio. On the basis of analyzing the distribution characteristics of coefficients in low and high frequency bands, a mixed entropy coding plan is applied, and a high efficient quantizator called"self-adaptive hard threshold"is established, which is helpful for improving the precision of the reconstructed DEM data and for enhancing compression ratio.

为了减小小波变换山区格网DEM数据压缩中边界失真区域，将山区格网DEM高程值视为广义坐标下的离散随机序列，把二维离散小波变换中的边界问题转换为一维离散小波变换中的边界问题，不仅大大减少了小波变换边界失真区域，提高了重构DEM数据边界点的精度，而且减少了边界补零个数，提高了压缩比；通过对山区格网DEM数据小波变换低频区和高频区变换系数分布特点的分析，采取了霍夫曼—游程混合熵编码方案，设计了高效、低失真的"自适应硬阈值"量化器，即对低频区变换系数不进行量化，直接进行霍夫曼编码；对高频区变换系数则先用"自适应硬阈值"方法量化处理，再进行游程编码。

For the Riemann boundary value problems for the first order elliptic systems , we translates them to equivalent singular integral equations and proves the existence of the solution to the discussed problems under some assumptions by means of generalized analytic function theory , singular integral equation theory , contract principle or generaliezed contract principle ; For the Riemann-Hilbert boundary value problems for the first order elliptic systems , we proves the problems solvable under some assumptions by means of generalized analytic function theory , Cauchy integral formula , function theoretic approaches and fixed point theorem ; the boundary element method for the Riemann-Hilbert boundary value problems for the generalized analytic function , we obtains the boundary integral equations by means of the generalized Cauchy integral formula of the generalized analytic function , introducing Cauchy principal value integration , dispersing the boundary of the area , and we obtains the solution to the problems using the boundary conditions .

对于一阶椭圆型方程组的Riemann边值问题，是通过把它们转化为与原问题等价的奇异积分方程，利用广义解析函数理论、奇异积分方程理论、压缩原理或广义压缩原理，证明在某些假设条件下所讨论问题的解的存在性；对于一阶椭圆型方程组的Riemann-Hilbert边值问题，利用广义解析函数理论、Cauchy积分公式、函数论方法和不动点原理，证明在某些假设条件下所讨论问题的可解性；广义解析函数的Riemann-Hilbert边值问题的边界元方法是利用广义解析函数的广义Cauchy积分公式，引入Cauchy主值积分，通过对区域边界的离散化，得到边界积分方程，再利用边界条件得到问题的解。

With the help of the fundamental theory to singular measure differential system, Green's function matrix expression of solution and well-posed boundary condition are given, together with discussing the properties of the Green's function matrix under the influence of impulsive effect In section 5, based on Lyapunov function method, we investigate that the existence of the first boundary value problem to second-order singular system by macthing the solutions to the second boundary value problem; and the existence and uniqueness of three-point boundary value problem to third order singular system by macthing the solutions to two-piont boundary value problem.

第五部分借助Lyapunov函数法，通过将第二类边值问题的解对结成第一类边值问题的解，得到了二阶广义系统的第一类边值问题解的存在性；通过将两点边值问题的解对结成三点边值问题的解，得到了三阶广义系统的三点边值问题解的存在性和唯一性。

A numerical calculation program is written up for the various solution methods in this paper and the program is being used in various aspects of inverse problem of environmental hydraulics, including inverse problem in reverse process of one-dimensional unstable diffusion, inverse problem in reverse process of convection-diffusion, inverse problem for the dispersion coefficient in water quality model, The inverse problem of coefficient identification for nonlinear Boussinesq equation, parameter identification inverse problem for water quality model, the inversion of parameter of BOD-DO water model, the inverse problem of the source of convection-diffusion, identification of the steady-state permeability for two dimensional isotropic medium, two-dimensional steady inverse problem of convection-diffusion and parameter identification inverse problem for two-dimensional parabolic equation, etc.

对本文提出的各种算法，编制了数值计算程序，并把它应用于环境水力学反问题诸多领域，包括污染物一维非恒定扩散逆过程反问题，对流扩散方程逆过程反问题，河流水质纵向弥散系数反问题，非线性Boussinesq方程反问题，河流水质多参数识别反问题，BOD-DO水质模型参数反演问题，对流—扩散方程源项反问题及二维恒定各向同性介质渗透系数反问题，二维定常对流——扩散方程及二维抛物型方程参数控制反问题等。

For the third boundary value problem under ellipsoidal boundary, firstly we simplify the form of the third boundary value problem. Then, the solution of the the third boundary value problem under ellipsoidal boundary is discussed in detail, along with its series solution, the integral expression is mainly studied.

对于椭球界面下的第三类边值问题，先简化其形式，然后详细讨论了椭球界面下简化形式的第三类边值问题的求解方法，在给出级数解的同时，主要研究了它的积分解的表达式。

One Wild Night It's a hot night, the natives are restless We're sweating by the light of the moon There's a voodoo mojo brewing at the go-go That could knock a witch off her broom We slither on in and shed our skin Make our way into the bump and the grind So I'm passing by, she gives me the eye So I stop to give her a light Chorus: One wild night One wild night (24 hours of midnight) One wild night (I stepped into the twilight zone And she left my heart with vertigo) One wild, one wild, one wild, one wild night Havin' as much fun as you can in your clothes Margarita had me feelin' alright It just might be that I found religion I've been on my knees for half of the night Then I'm rolling the bones with Jimmy 'no dice' Gonna take him for a couple weeks' pay Man, if you lose this roll I take your girlfriend home So I stopped But you're not gonna believe who comes walking out Chorus: One wild night One wild night (24 hours of midnight) One wild night (I stepped into the twilight zone And she left my heart with vertigo) One wild night (hey, c'est la vie) One wild night One wild night (life is for the living so You gotta live it up, come on let's go) One wild, one wild, one wild, one wild night Guitar solo Chorus: One wild night One wild night (24 hours of midnight) One wild night (I stepped into the twilight zone And she left my heart with vertigo) One wild night (hey, c'est la vie) One wild night One wild night (life if for the living so You gotta live it up, come on let's go) One wild, one wild, one wild, one.. One wild night One wild night (24 hours of midnight) One wild night (I stepped into the twilight zone) For one wild night One wild night (hey,c'est la vie) One wild night One wild night All we've got is one wild night One wild night (4x) One wild night blinded by the moonlight One wild night 24 hours of midnight One wild night stepped into the twilight zone for One wild, one wild, one wild, one wild night.

一狂放的夜它是热的夜，当地人是不安定的由那里月亮的光冒汗是巫毒教mojo酿造在可能敲巫婆她的笤帚的去去的我们我们滑行并且流洒我们的皮肤做我们的方式成爆沸和研磨，因此我通过，她给我眼睛，因此我停下来给她轻的合唱：一狂放的夜一狂放的夜(24个小时午夜)一狂放的夜(我跨步入暮色区域和她左我的心脏以眩晕)一狂放，一狂放，一狂放，一狂放的夜 Havin同样多乐趣，象您在您的衣裳玛格丽塔酒能有我feelin它也许行是我发现了我是在我的膝盖为夜的一半的宗教我然后滚动骨头与吉米'没有模子' 去采取他为几星期的薪水人，如果您丢失我采取您的女朋友家的这卷，因此我停止了，但您不相信谁来走出去 Chorus： One wild night One wild night (24 hours of midnight) One wild night (I stepped into the twilight zone And she left my heart with vertigo) One wild night (hey， c'est la vie) One wild night One wild night (life is for the living so You gotta live it up， come on let's go) One wild， one wild， one wild， one wild night Guitar solo Chorus：一狂放的夜一狂放的夜(24个小时午夜)一狂放的夜(我跨步入暮色区域和她左我的心脏以眩晕)一狂放的夜(嘿， c'est la竞争)一狂放的夜一狂放的夜(生活，如果为生活，因此您得到居住它，进展我们是)一狂放，一个狂放，一个狂放，一个一狂放的夜一狂放的夜(24个小时午夜)一狂放的夜为一狂放夜一个狂放的夜(嘿， c'est la竞争)一狂放的夜一狂放的夜我们有的全部是一狂放的夜一狂放的夜(4x)一狂放的夜由月光蒙蔽了一狂放的夜24个小时午夜狂放的夜跨步入暮色区域为一狂放的一，一狂放，一狂放，一狂放的夜。

Presenting a theorem of one dimensional time multiplying ,also a demonstration to the theorem which says that Any point in 3 dimensional spaces of the universe at an certain universal moment possesses equivalent physical quantities of one dimensional time that is equal to total amounts of one dimensional time of the universe at same universal moment; Any point in 3 dimensional spaces of the universe at an certain universal moment , its possessed physical quantities of one dimensional time has an constant ratio with respect to one dimensional space , which is universally equal to space time impedance.

给出了一维时间增殖定理及其证明。该定理指出：在任意宇宙时刻，宇宙三维空间中任意一点具有的一维时间物理量量值均相等并等于在该宇宙时刻宇宙具有的一维时间物理量总量；在任意宇宙时刻，宇宙三维空间中任意一点的一维时间物理量的一维空间变化率均相等且恒等于时空阻抗。

The result shows that the mixed boundary condition can greatly reduce the calculation area without affecting accuracy of the solution.It is followed by the higher accuracy of Dirichlet boundary condition which makes the boundary error greater when measured points is near the boundary, so we must take a sufficiently large border region.The homogeneous boundary condition has relatively large error, but the use of non-triangle poles devices makes apparent resistivity calculation error become small, because of elimination of the effect on potential difference for the infinite boundary. In inversion, in order to save computing time, homogeneous boundary conditions are often used to perform finite element forward calculation.

结果表明，混合边界条件精度最高，可大大缩小求解区域而不影响计算精度，其次是Dirichlet边界条件精度较高，但测点越靠边界误差会越大，必须取足够大的边界区域，齐次边界条件的误差比较大，但如果采用非二极装置，通过电位差计算得到的视电阻率，由于无穷远边界对电位差的影响基本消除，视电阻率计算误差与混合边界条件下的接近，在反演中，为了节省计算时间，经常使用齐次边界条件进行有限元正演。

The boundary contour formulations of evaluatingstresses from the Somigliana stress identity are derived for 2-D problemswith quadratic boundary elements.The boundary contour method basedon the traction boundary integral equation is further discussed.Elasticproblems are first solved using the traction boundary contour method.Amixed collocation of the displacement boundary contour formulation andtraction boundary contour formulation is given.(4)The dual boundarycontour method is developed for the analysis of crack problems.

3建出了Somigliana应力积分式的二维和三维问题的边界轮廓法理论；给立了二维问题由Somigliana应力积分式计算应力的二次形函数的边界轮廓法方程，进而给出了基于面力边界积分方程的边界轮廓法；提出了一种以位移边界轮廓法方程与面力边界轮廓法方程混合配置的方案，首次实现了用两种积分方程相结合来求解弹性力学问题。

Summary In copyright infringement cases,if the alleged infringer uses or even plagiarizes the copyrighted works or parts thereof,which causes no substantially adverse effect on the normal exploitation of the work,nor does it inflict any substantial damages to the right owner,the de minis doctrine should be applied to exempt the liabilities of the defendant and seek the balance of interests between the right owner and the general public embodied by the copyright law.

在侵犯著作权案件中，如果被控侵权行为人虽未经著作权人的同意，使用甚至抄袭了受著作权保护的作品或作品的片段，但若情节轻微，未对该作品的正常使用产生任何实质不利的影响，亦未对权利人的权利造成实质性的损害，则应适用&不计琐细原则&，免除行为人的责任，以寻求在权利人利益与著作权法所体现的社会公共利益之间的平衡。

This new product will become our best seller.

这个新产品会成为我们最畅销的产品。