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The basic idea of Tikhonov regularization is that linear compact operator equation of the first kind is replaced by the minimization problem of Tikhonov functional, the paper demonstrates the minimization of Tikhonov functional is an well-posed problem. In the end, the paper suggests a new type of iterative algorithm to solve inverse problems of parameter identification for one-dimension parabolic partial differential equation .

本文论证了Tikhonov泛函极小化问题是适定的，即满足西安理工大学硕士学位论文解的存在性、解的唯一性和解连续依赖于数据的稳定性：并且此极小化问题等价丁求解第一类方程的正规方程。

The aim of this paper is to study the existence of solution and multiply results for quasilinear elliptic system in bounded domain and the whole space, semilinear elliptic equation in two dimension space, second order nonlinear difference equation by variational methods. The main results are listed in the following:1. An abstract compactness theorem is proved, and then, under weak Boccardo and De.

本文主要利用变分法，分别研究了有界区域和全空间上拟线性椭圆型方程组、二维空间上半线性椭圆型方程和二阶非线性差分方程问题的解与多重解的存在性，具体内容如下： 1。

In other words, the comparator merely compares the dimension of the worn part with the standard reference part.

换句话说，比较仪不过是将磨损部分的尺寸与标准的基准部分进行比较而已。

Considering the influence of fluid's viscosity and large amplitude slosh, the 3-dimension coupling system composed of uncompressible viscous fluid and ideal elastic structure is studied in this paper. The moving state of the interface between the fluid and the structure is analyzed, and the boundary's moving condition (i.e. displacement compatibility) and dynamic condition (i.e. traction equilibrium) are given.

本文探讨了计入流体的粘性、大幅晃动影响，不可压缩粘性流体与弹性体的三维动力耦合问题，分析了流体、固体接触界面的运动状态，给出了其运动和动力边界条件，即位移一致性和作用力平衡条件。

The author studied the motion compatibleness of executive system, and built the connection of the motion parameter (motion-stand ratio) that complete "walk paper" craft and the bar dimension of die cutting toggle press mechanism that complete "die cutting" craft.

研究分析了主执行系统运动协调性，建立了完成"走纸"工艺的平行分度凸轮的运动参数和完成"模切"工艺的肘杆机构构件尺寸之间的关系。

At first, the examples are given to explain a new method in signal processing, in which functions are defined from the viewpoint of multi-scale analysis. Then the authors present "coordinate heft separate" method, discover self-similar structure of points set on plain area; based on this self-similar structure, construct orthogonal complete 2-value function system of high-dimension simplicity; enrich and extend the theory and application of Rademacher function and Walsh function.

首先，举例说明在多尺度分析观点下，信号处理中某些函数定义的新方法；进而提出"坐标分量分离方法"，并由此发现了平面区域上点集坐标数值的自相似结构；在揭示了如此自相似结构的基础上，构造了高维单纯形上的正交完备的二值函数系统；丰富与推广了Rademacher函数及Walsh函数的理论及应用。

Besides this, as an application example of the complementary math to complex objects, the fraction dimension of Taiji model for microscope particles has been suggested.

除此以外，作为近代数学对较复杂事物计量分析的应用例，提出微观粒子的太极模型分形维

The central goal of this work is trying to generalize the above result to the Higgs version case, which should be helpful to the study of some question, say variants of the Kobayashi-Hitchin correspondence. The theorem to be proved here is the followingTheorem 02: Let M be a compact complex manifold of dimension m with a Hermitian standard metric g and let be a Higgs bundle over M.

本文的一个主要的目的是把上面的定理推广到E是—Higgs向量丛的情形；这一结果的意义在于在研究与Kobayashi-Hitchin correspondence相关的问题，如考虑Kobayashi-Hitchin correspondence的形变展现它的作用。

Longitudinal and correlated data are commonly modeled with generalized linear mixed models which contain both fixed and random effects. The source of the random effect may come from the genetic heredity, familial aggregation, or environmental heterogeneity. The inference of its variance component is usually difficult due to the dimension of its covariance matrix and the complexity of the likelihood function.

在生物医学统计中常接触到具有相关性的资料，这些相关性可能是基因、环境、重复测量或是时间所造成的；在这一类型的研究中，我们通常不只对治疗的效用有兴趣，观测值的变异以及观测值之间的相关性亦可能是我们所关注的量，这些变异或相关形式都可以被称为变异数成份。

For the first time, we propose the Ternary production rule and Ternary rule matrix , then use MVL to decompose the compound rules, which both realize lossless decomposition of the 4〓 type of compound rule and avoid rule matrix's dimension increase for introducing new proposition to substitute the compound recondition.

首次提出并使用三值产生式规则及三值规则矩阵，创造性的将多值逻辑用于复合产生式规则分解，很好地实现了4类复合规则的无损分解，同时避免了该类复合规则的出现需引入新的命题而导致规则矩阵规模增大的问题。

Yet, Edith says, there was always money in the bank.

但是Edith说，她的银行户口里面总是有钱。

We have created a series of files that resolve this problem--one for each day of the 40 days of purpose.

我们制作一系列的档案去解决这问题---一个为标竿40天中的每一天。