边条件

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。

In this paper,at first we transformed the nonlinear elliptic system of 2m first order equations into the complex form, then by use the results on the Riemann-Hilbert problem for nonlinear elliptic complex equation of first order, the method of continuity, the Schauder fixed-point theorem and the Leray-Schauder theorem, we proved that the modified Riemann-Hilbert boundary value problem for the complex system with some conditions is solvable.

本文先将较一般的多个未知函数的一阶椭圆型实方程组化为复方程组，然后讨论这些复方程组在某些条件下的一些边值问题的可解性。这里所考虑的方程组既包含线性的，也包含非线性的，比广义超解析函数所满足的方程组还要广，又本文主要研究较一般的Riemann-Hilbert边值问题，先给出这种边值问题解的先验估计式，然后用参数开拓法及Leray-Schauder定理证明这种边值问题的可解性结果。

We can not apply Galerkin methods with radial basis functions to the first boundary value problem (the Dirichlet boundary value problem) of the second-order elliptic equation, because it requires that the approximate functions should fit the essential boundary condition, while the spaces spanned by the radial basis functions fails to satisfy this kind of boundary condition, and it is the same for the higher-order elliptic equation.

我们不能直接应用这样的无网格算法求解二阶椭圆型方程的第一类边值问题(Dirichlet边值问题)，因为第一类边界条件是本质边界条件(对二阶椭圆型方程为Dirichlet边界条件)，而径向基函数的支集通常是全空间，由它们所生成的近似函数空间一般不满足这样的条件。

According to the conditions of topography,geological structure,climate,hydrology and engineering geology,the main factors influencing the slope stability of the Grand Buddha rock mass are discussed;the generalized model of the slope for stability analysis is set up,and the main working situations of the slope are put forward.

根据太原晋阳西山大佛所处的地形地貌、地质构造、气象水文条件和场地工程地质条件，分析影响大佛边坡岩体稳定性的主要因素，建立大佛松动岩体边坡稳定性分析概化模型，提出大佛边坡岩体所处的主要工况类型。

The results show that the condition and the stability on the bottom of slope is bettero As a whole, the angle of slope is likely to increase and turn to craggedness ; The condition and the stability on the top ...

结果表明：采场下盘边坡岩性条件较好，稳定性较高，总体边坡角均有可能进行加大、加陡：上盘边坡岩性条件相对较差，且地下水位较高，边坡的稳定性相对下盘较差。

Aiming at slope types, features, deformation traits and destroy mechanism of high steep valley slope at Jinping Ⅰ Hydropower Station, and applying monitoring results, a comprehensive prediction design is suggested. In the space, according to the occurrences of unfavorable geological phenomena such as faults F5, f(subscript 42-9) deep fracture SL(subscript 44-1) and lamprophyre vein X, all of them can be treated as the boundary conditions for slides, potential instable blocks of slope on the left abutment are estimated which take on a wedge-shaped sliding model. In the sametime, through using three kinds of joint prediction methods such as statistic models and nonlinear models, judging from the shape of curves of deformation-time and their deformation velocities, it is found that the slope is at the state of slowly creeping to uniform deforming with a deforming velocity of 0.05 mm/d.

针对锦屏一级水电站左岸高边坡的边坡类型、边坡特征、变形特点和变形机制，在监测成果的基础上，对其进行综合预报，空间上判断左岸拱肩边坡由断层F5，f(下标 42-9)、深部裂缝SL(下标 44-1)及煌斑岩脉X互相组合，形成可能边坡失稳块体的边界条件、楔型体滑移失稳模式：时间上采用统计模型及非线性模型多种方法联合预报，根据边坡变形时序曲线的形态及变形速率指出：边坡目前处在缓慢蠕动至匀速变形阶段，变形速率小于0.05mm/d。

Confirming the space place of weakness plane, potential failure model of slope and comprehensive choosing of rock mechanical properties are discussed in the paper. The blasting vibration is tested and the consults are analyzed by regression analysis, binging forward the velocity and acceleration attenuating law of slope rock mass. The stability of two typical slope profile and sensitivity-analysis of the influence blasting vibration to slope stability are analyzed by Sarma method. Bring forward the technical measures of reducing the influence of blasting vibration to slope stability.

本文针对兰尖矿营盘山高陡边坡的工程地质特点，查明其边坡工程、水文地质条件，弄清控制边坡稳定性的F_(108)、ω_6、泥化夹层等软弱结构面的空间位置和边坡潜在的破坏模式以及岩石力学指标的综合选取；对生产爆破振动进行了测试，并对测试结果进行了回归分析，得出边坡岩体质点振动速度及加速度的衰减规律；用Sarma法对两个典型的边坡剖面进行了稳定性分析和爆破震动对边坡稳定性影响的敏感性分析；提出了降低爆破震动对边坡稳定性影响的技术措施。

According to slopes'stabilities, this paper devided them into four types on the basis of flat-cut and short-supporting, high-cut and strong-supporting. To different slopes, the different excavation and reinforcement schemes are choosed by simple and unified standard.

由于试验条件的局限性和边坡破坏后后果严重，为尽量避免边坡的破坏，本文采用了UDEC程序对重点边坡的开挖前后阶段进行了模拟，预测了边坡的发展趋势，为边坡的支护设计提供了一定的理论依据。

In addition, the blank holding force that is required to avoid wrinkle and rupture during conical part deep drawing is researched. The necessity of reasonable blank holding force in pressing is expounded. From the view of mechanical analysis, the wrinkle critical condition of side-wall is derived for the first time by the stress state of side-wall, the main deformation region on blank. According to the critical condition of plastic instability for flange, side--wall, corner of punch on blank, The blank holding force in conical part deep drawing is divided into four different regions within its forming figure. The basic principle of reasonable blank holding force during stamping is summarized and provided. The mathematical model of reasonable blank holding force that avoids the wrinkle and rupture is established and verified by the finite element numerical simulation and the grid experiment method. The result shows that it is accurate and reliable.

此外，本文还研究了圆锥形件拉深成形过程中，随着拉深变形过程的进行，毛坯为避免产生起皱、破坏缺陷而对压边力的需求情况，阐明了圆锥形件拉深成形过程中压边力合理变化的必要性；由毛坯主要变形区悬空锥壁部分的受力变形情况，从力学分析的角度，首次推导得出了圆锥形零件悬空锥壁起皱失稳的临界条件；并根据主要变形区法兰、悬空锥壁及凸模圆角部分的塑性失稳临界条件，在其成形范围图中，将圆锥形件成形过程中的压边力划分为四个区域；总结并提出了圆锥形件成形过程中压边力合理变化的基本原则；建立了防止起皱、破坏缺陷产生的压边力合理变化的数学模式，并得到了有限元数值模拟及网格实验法的验证，证实了理论分析结果的正确性和可靠性。

In this paper, We study the spectral counting function for one dimensional p-Laplace operator. We prove the existence of a two term Weyl-type asymptotic with mixed and periodic boundary-value conditions. This is the generalization of Laplace operator with mixed and periodic boundary-value conditions.

本文研究一维p-Laplace算子谱点的计数函数，在混合边值及周期边值条件下得到一个精确到第二项的Weyl型渐近式，它是Laplace算子在这两种边值条件下的推广。

Singer Leona Lewis and former Led Zeppelin guitarist Jimmy Page emerged as the bus transformed into a grass-covered carnival float, and the pair combined for a rendition of "Whole Lotta Love".

歌手leona刘易斯和前率领的飞艇的吉他手吉米页出现巴士转化为基层所涵盖的嘉年华花车，和一双合并为一移交&整个lotta爱&。

This is Kate, and that's Erin.

这是凯特，那个是爱朗。