查询词典 fredholm alternative

By decomposing the problem system into an extended saturated soil system and a virtual pile system, through the strain compatibility condition between the extended saturated soil system and the virtual system at an arbitrary depth z along the pile, and combined the Laplace transform and its convolution, a Fredholm intergral equation of the second kind of the single pile in saturated layered transversely isotropic soils is established. The axial force and diaplacement of the pile are obtained by solving the Fredholm intergral equation.

将求解体系看作是饱和土体和虚拟桩的叠加，利用沿桩身任意一点z处饱和地基与虚拟桩的应变协调，并结合Laplace变换及其卷积性质，建立了饱和成层横观各向同性地基中竖向受荷单桩问题的第二类Fredhlom积分方程，对该积分方程进行求解可得桩的真实轴力、位移。

Using Biot's 2D elastodynamic theory solves the saturated soil equation. The Fredholm integral equation of the second kind can be built by using the fundamental solution of circular load, the compatibility condition and superposition method. The Fredholm integral equation of the second kind of pile groups can be solved by using numerical method. The numerical solutions of pile groups axial forces, pore pressures under vertical harmonic loading and shear forces, moments and pore pressures under horizontal harmonic loading can be obtained.

采用Biot提出的三维波动原理，利用圆形简谐载荷作用下的Biot固结方程的基本解和桩土之间的变形协调条件，并采用叠加原理得到饱和土中群桩的第二类Fredholm积分方程，应用数值法求解群桩的第二类Fredholm积分方程，得到在垂直简谐载荷作用下群桩的轴力、孔压随桩身变化的数值结果以及在水平简谐载荷作用下群桩的剪力、弯矩和孔压随桩身变化的数值结果。

Through the Radon transformation of the normally ordered Wigner operator we introduce two mutually conjugate intermediate coordinate- momentum representations. Based on them we construct the appropriate quantum phase space theory which includes the new Wigner operator adapting to this space and construct the appropriate generalized Fredholm operator equation and then find its solution. We then deriving the Hermite polynomials operator identities by applying the Fredholm equation. We also reveal the connection between the generalized Wigner operator and the 2-dimension normal distribution in statistics, which is useful to study the quantum tomogram. As the application of the entanglement Husimi operator theory we calculate the Wigner function and the Husimi function of the one- and two-mode combination squeezed state , study their characters through drawing the three-dimensional graphics.

由正规序Wigner算符的拉登变换引入了两个互为共轭的中介坐标-动量表象，在此基础上我们建立了相应的量子相空间理论，其中包括引入适合该空间的新的Wigner算符；并在该表象的基础上，建立了广义Fredholm算符方程，求出了它的解，并运用该方程导出有关厄米多项式的算符公式；揭示广义Wigner算符与统计学中的随机变量的二维正态分布形式上的相似，这对于研究量子态的tomogram(是英文Tomography的派生词)有用。

As an extension, we also obtain some sufficient and necessary conditions under which M_c is left Fredholm and left Weyl for some left invertible operator C, respectively.In chapter 2, the sufficient and necessary condition under which the difference of two idempotent operators on infinite dimensional Hilbert spaces is Fredholm (in-vertible) is discussed. In addition, some equivalent conditions under which products and differences of projections in a C~*-algebra are Moore-Penrose invert-ible are obtained.

来源：Ae5BCab论7a文网www.abclunwen.com对给定的算子对，给出存在左可逆算子C使得M_C左可逆的充要条件；存在可逆算子C使得M_C左可逆的充要条件；存在左可逆算子C使得M_C是左Fredholm算子的充要条件；存在可逆算子C使得M_C是左Fredholm算子的充要条件；存在左可逆算子C使得M_C是左Weyl算子的充要条件；存在可逆算子C使得M_C是左Weyl算子的充要条件。

In this paper,we consider the existence and uniquness of solution for Dirichlet problem of the Helmholtz equation on the domain with corners, i.e problemFor smooth boundary,we use potential theory to transform the problem into second kind boundary integral equation ,and use Fredholm alternative theorem,we obtain the existence and uniqueness of Dirichlet problem.

在本文中，我们考虑边界含尖点的有界区域上Helmholtz方程△u+k~2u=0的Dirichlet问题即问题与问题解的存在及唯一性。

Boundary integral equation;Fredholm alternative theorem;potential theory

论文导师严国政，论文学位硕士，论文专业基础数学

First of all, the method of Fredholm alternative is used to obtain the approximate solution of the first order for the bifurcating periodic solutions of a nonlinear system with delayed velocity feedback. The bifurcation direction and the stability of the bifurcating periodic solution are also determined.

首先，用Fredholm择一方法分析了一具有时滞速度反馈的非线性振动系统的Hopf分叉，得到了局部分叉周期解的近似表达式，确定了分叉解的分叉方向及稳定性。

Offers of technical alternatives shall be accompanied by all information necessary for a complete evaluation, including design calculations, drawings, method statements and specifications for materials and workmanship where the alternative is not covered by the Specification, together with a breakdown of the alternative prices and the Total Alternative Contract Sum.

供选择的技术方案应伴有供全面评价的必要信息，包括设计计算、图纸、方法及原技术规范中未涉及的材料、工艺的规格，以及供选择方案的标价细目表和供选择方案的合同价格。

3 Offers of technical alternatives shall be accompanied by all information necessary for a complete evaluation, including design calculations, drawings, method statements a'nd specifications for materials a'nd workmanship where the alternative is not covered by the Specification, together with a breakdown of the alternative prices a'nd the Total Alternative Contract Sum.

供选择的技术方案应伴有供全面评价的必要信息，包括设计计算、图纸、方法及原技术规范中未涉及的材料、工艺的规格，以及供选择方案的标价细目表和供选择方案的合同价格。

Provides an alternative value for the aspect of the markup in question—an alternative generic identifier, transcription, or attribute value, or the identifier of an anchor element (to indicate an alternative starting or ending location).

提供一个替代属性值给指定标记部分—一个替代的类目识别符码、转录、或属性值，或是元素anchor (用来指出一个替代的开始或结束位置)的识别符码。

You have to walk your own alk in this life.

次生中你必须走自己的路。

To start with, the thesis analyses ***ism in terms of the generic masculine words, word order and semantic derogation of women in greater detail.

论文首先从阳性词泛指，词序，词义的贬降等方面对英语中的性别歧视现象进行了详细的分析。