查询词典 hilbert nullstellensatz

Hilbert boundary value problems of non-normal type for bianalytic functions are investigated.

研究双解析函数的非正则型Hilbert边值问题，给出该问题的可解性定理。

The project proposed and established the strict unique mathematical model of instantaneous frequency aiming at the currently existed problems in Hilbert Huang Transform form the viewpoint of physical connotative meaning; proposed and established the strict mathematical model of general intrinsic mode signal based on the concept of general continuous intrinsic mode signal and the compositive principle of practical general intrinsic mode signal; researched and proposed the fitting method of envelope lines in HHT from the viewpoint of theory, conquered the blindness and random in quondam EMD envelope line fitting and boundary treatment; developed a virtual time-frequency analyzer based on general intrinsic mode signal decomposition to open out the local time-frequency characteristics of nonlinear and nonstationary signal more deeply and accurately.

本项目针对希尔伯特-黄变换现阶段存在问题，从物理内涵的角度提出并建立了瞬时频率严格的唯一的数学模型；基于连续性的一般固有模态信号的概念和实际信号的一般固有模态信号的组成原理，提出并建立了一般固有模态信号严格的数学模型；从理论角度研究并提出HHT中的包络线构造方法，克服了原EMD的包络线构造和边界处理的盲目性和随意性；研发一台基于一般固有模态信号分解的虚拟式时频分析仪，使之可以更深入、准确地揭示非线性非平稳信号的时频局部特征。

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。

And the series of the sampling difficulty coefficient is made in the Hilbert space.

关于试题难度系数的研究，国内学者已提出了一些模型。

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。

Barolo is the king of Italian wines.

巴罗洛是意大利红葡萄酒之王。

Who I am I to tell my private nightmares to if I can't tell them to you?

如果我不把闷在心里的恶梦告诉你，我告诉谁去呢？