查询词典 problem of fixed points

Since the solutions of this problem are the critical points of the associated energy function. One generally needs some compactness such as PScondition or C-condition to prove the existence of critical points of the energy func-tion, but when we study the elliptic equation in R~N, the compactness condition does not always hold since the imbedding of the Sobolev space H_0~(1,2)into L~(2*) is not compact. In this chapter, based on the nonsmooth critical point theory, and by using the approximation technique with periodic function, the existence of nontrivial solution is obtained.

由于该方程的解就是其所对应的能量泛函的临界点，通常都要在一些紧型条件的基础上来证明其所对应的能量泛函临界点的存在性，但当我们在无界域上考虑该椭圆方程解的存在性时，Sobolev空间H_0~(1，2)到L~(2*)的嵌入非紧，从而导致所对应的能量泛函失去紧性，本章在非光滑临界点理论的基础上，应用周期逼近的方法证明该问题非平凡解的存在性。

The analysis of the contact problem in FEM includes two aspects: the checking of contact points and the treatment of contact points with mechanics and kinematics.

有限元分析中的接触问题包括两方面：接触点的检测和已接触点的力学与运动学处理。

Since the lengths of the line segments and the angles between line segments are treated as representation parameters, it is convenient to construct energy function and to deal with displacement and length constraints. Based on this advantage, a parametrical model for human body is proposed, which can easily produce human body models with different feature sizes. The above method is just suitable for polylines. Therefore, a generic deformation method for both discrete curves and surfaces is presented. The energy function is constructed by analyzing the relationship of the points before and after deformation. Together with the displacement constraints, the deformation problem is converted to a convex quadratic programming. A necessary condition for constraint points and a sufficient condition for the uniqueness of solution are given. The proposed method can be combined with skeleton-driven animation to control the deformation.

将线段长度与线段之间的角度作为表示参数，既有利于能量函数的构造，又便于处理位移约束和长度内蕴约束条件，利用这一优势，将其应用于三维人体的参数化建模，可以方便地产生具有不同特征尺寸参数的人体模型，由于这种方法只适用于折线变形，具有较大局限性，因此，本文进一步提出一种较通用的离散曲线曲面变形方法，通过分析变形前后的位置关系来构造能量函数，再加上位移约束条件，将变形问题转化为一个凸二次规划问题，并且给出了约束点应满足的必要条件及模型解唯一的充分条件，这种方法还可以与骨架驱动变形的思想相结合，能更好的控制变形。

In our study of data compression, an entire research is given to the problem of the index of lattice points in pyramidal lattice vector quantization ,and index algorithms are presented to index the Iattce points of some usually-used lattices,such as ZL, DL, E8 and A16so on.

我们在数据压缩课题研究中，对塔式网格矢量量化中格点的标号进行了探索，给出了常用的几种网络诸如ZL、DL、E8、A16等格点的标号算法。

Nevertheless, in these aPproaches the contact intethee are charactered sboly edstiffeess K. and K.' which is not PerfeCt and rigorous in thc vitw of solidmechanics and rather rough for the description of the behavior of the iDtfores. Incollbet, taken as a contact Problem, the principal chatrs of the iDtCthees can bereflected: the cbntact inifore is of shear strength Which imPlies tha a genericpair of contact points on the inidse will displace coincidentally if the tangentialfbrce at this POint has not reahed the 1imit resistance, else, relative s1ide betwee the\ points will occur along the tangental direction.

本论文在对这两种方法进行认真的分析后，说明它们对不连续面的描述并不合理，也无法反映出不连续面的主要力学特性，同时指出，将带有不连续面的岩土工程问题作为接触问题计算更为合理，它可将不连续面受力变形的主要特点反映出来，即：(1)接触面具有相应的&抗剪强度&，即当接触面上某一点处的切向应力小于该点处的抵抗强度时，点对共同变形；达到强度时，则沿切向发生相对滑动；(2)在整个变形过程中，发生接触的变形体不能相互侵入。

If the ink in the cartridges sufficient, but also solve the problem, you can try to clean ink and sliding between two electrical contact points, because with the increase in working hours, the dirt between the contact points may affect the print signal responsiveness, making ink-jet cartridges when the work is intermittent, resulting in color in some places, and in some places there is no color.

要是在墨盒中的墨水充足的情况下，还不能解决问题，那你可以尝试清洗墨盒和滑架间的电接触点，因为随着工作时间的增长，接触点之间的污物可能会影响打印信号的反应灵敏度，使得喷墨墨盒工作时出现断断续续的现象，从而产生有的地方有颜色、而有的地方没有颜色。

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。

A curve coordinate system is established in which the original problem may be reduced to a fixed boundary problem over a rectangular region and thus may be solved by difference methods .

给出了一种用曲线坐标求解椭圆型偏微分方程自由边值问题的数值解法；该方法通过引入两个辅助问题，它们构成一个曲线坐标系。

By using the theorem on cone expansion and compression and a fixed point theorem on cone,this paper is concerned with the existence of positive solutions for some boundary value problem of singular nonliear semipositive second-order three-point boundary value problem,which improve many known results.

运用锥拉伸与压缩不动点定理研究非线性奇异半正二阶三点边值问题正解的存在性，推广了一些已知的结果。

OD estimation was divided into fixed steps, with every step containing a bi-level programming. The upper-level problem was a generalized least squares estimator, while the lower level problem was a stochastic user equilibrium model. Namely, based on generalized least squares estimator and stochastic user equilibrium, a new estimator of the OD matrix was proposed by target matrix and traffic counts updating.

将OD估计分为固定的步数，每一步都是一个双层规划，上层为广义最小二乘估计，下层为随机用户均衡分配模型，即以广义最小二乘估计和随机用户均衡分配模型为基础，通过更新估计模型中目标矩阵和实测路段上的流量来估计OD矩阵。

Who? I never heard of him, Paul said, before asking teammate James Posey if he had heard of him.

赛后，科比说，他一直都是一名非常出色的射手，今天他打得很棒。

When I joined the company, I rotated around the different sections.

我加入这个公司时，轮换过几个不同的部门。