查询词典 Hilbert

In order to reasonably depict four basic problems with friction, one Coulomb friction new form in first Kirchhoff stress is proposed to deal with finite deformation problems, other Coulomb friction form in incremental mode to elastoplastic flow theory; Hilbert function spaces concerning elastoplastical problems with friction are established, so it makes all operations and calculations in the treatise standardized within the scope of reasonably topologic structure; In view of functional extremum, the equivalence between generalized variational inequalities principles in elastoplasticity with friction and corresponding basic problems are testified by inducing Lagrangian multipliers, so it provides a rationally theoretical basis for numerical methods in elastoplasticity with friction; From the viewpoint of variational inequality, the theory of generalized variational inequalities in elasticity and elastoplasticity with frictional constraint is studied, and the uniqueness and existence of the solution of FEM is proofed under the proposed conditions of stress compatibility, and them FEM approximation and a discrete solution are discussed; Based on the principles of generalized variational inequalities in elastoplasticity with friction, direct generalized variational inequalities methods is pretended, which is a natural generalization and development of direct variational methods; Using generalized variational inequalities methods, some examples in metal forming including plane deformation, upset and extrusion are analyzed and the results prove that all the theories and methods in the paper are right, feasible, accurate and advanced.

主要内容有：为了合理地描述金属塑性成形中摩擦约束弹性、弹塑性基本问题，提出和研究了有限变形下以Kirchhoff第一应力表示的Coulomb摩擦定律形式和弹塑性流动理论下以增量形式表示的Coulomb摩擦定律表示形式；系统建立了摩擦约束弹塑性问题的Hilbert函数空间，使本文规范在一个具有合理的代数拓扑结构内进行一切操作和运算；利用Lagrange乘子，从泛函极值的角度系统地阐述和论证了一系列摩擦约束弹性、弹塑性广义变分不等原理与相应的实际问题之间的等价性，它为处理摩擦约束的弹塑性力学数值方法提供了合理的理论基础；从变分不等式的角度出发，阐述了对应于摩擦约束弹性、弹塑性问题的广义变分不等式理论，首次提出了在应力相容性条件下，它的有限元解具有存在唯一性，进而讨论了其有限元近似及离散解法；基于摩擦约束弹塑性广义变分不等式原理，首次提出了直接广义变分不等式方法，这一方法是直接变分法的合理推广和发展；利用直接广义变分不等式方法对金属压力加工中的平面变形问题、镦粗、挤压等塑性成形问题进行了分析计算，验证了该理论和数值算法的正确性、实用性、精确性和优越性。

Dahlquist,Butcher,Burrage and Frank et.al.established early or late B-theory of Runge-Kutta methodsfor stiff problems in Euclidean space with finite dimensions.Afterward,Shoufu Li et.al.extended this theory to general linear methods and stiff problems in Hilbert space andfurther established B-theory of general multivalue methods in Banach space.

Dahlquist、Butcher、Burrage及Frank等人先后建立了有限维空间中刚性问题Runge-Kutta方法的B-理论；李寿佛等人将该理论推广到一般多值方法和Hilbert空间中的刚性问题，进而建立了Banach空间中刚性问题一般多值方法的B-理论。

This kind of problems can be described by the state-space of Co-semigroup in Hilbert space.

这样的系统可以通过Hilbert空间上的C_0算子半群作状态空间描述。

In chapter three we mainly studied the pseudo-inverse operator and the frame in Hilbert space.

第三章研究了Hilbert空间中伪逆算子的性质并给出了框架的一般分解。

In this thesis, a Hilbert space 〓 with reproducing kernel is e...

本文建立一个有再生核的函数Hilbert空间〓。

In this thesis, a Hilbert space 〓 with reproducing kernel is established.

本文建立一个有再生核的函数Hilbert空间〓。

This paper studies a class of stochastic different equations with Markovian switching in the infinite dimensional Hilbert space.

本文在无穷维Hilbert空间中研究了一类具有马尔可夫调制的随机微分方程。

The orthogonality and completeness of the eigenfunctions are proved according to certain theories of Hilbert space.

借助Hilbert空间的理论证明了特征函数的正交性与完备性。

The proposed approach was based on the re-organization innovation methods and projection theory in Hilbert space.

基于新息重组分析理论和Hilbert空间的正交投影定理，提出了一种简便有效的新方法。

The sufficient condition of stochastic delay population system with diffusion is obtained in Hilbert space.

利用Ito公式和Burkholder-Davis-Gandy定理及Gronwall-Bellman不等式，通过构造一个有界的柯西列，给出了Hilbert空间中随机时滞种群扩散系统解的存在性和唯一性的充分条件，文章所得到的结论是目前现有结果的推广。

What are your goals and strategies for growth?

你的成长目标和策略是什么？

And unto the angel of the church in Sardis write; These things saith he that hath the seven irits of God, and the seven star I know thy works, that thou hast a name that thou livest, and art dead.

3：1 你要写信给撒狄教会的使者，说，那有神的七灵和七星的，说，我知道你的行为，按名你是活的，其实是死的。