morse inequalities

morse inequalities的基本解释

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莫尔斯不等式

与morse inequalities相关的网络例句 [注：此内容来源于网络，仅供参考]

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。

This thesis is devoted to the study of 〓-type inequalities for martingales,such as the maximal inequalities,the inequalities for square functions,the inequali-ties for martingale transforms,the inequalities for singular integrals.

第三章证明了关于Hardy平均算子〓的双〓不等式、双〓凸引理，并通过考虑鞅的重排不等式，建立了鞅的双〓均方函数不等式、条件均方函数不等式，给出了这类不等式成立的一个充分必要条件。

We mainly give a simple brief introduction to Morse theory and Morse function, and introduce a two-dimensional manifolds on the Morse-Smale complex.

在此基础上，提出了一种对二维流形上的Morse-Smale复形顶点进行优化从而达到优化四边形形状的算法。

与morse inequalities相关的网络解释 [注：此内容来源于网络，仅供参考]

morse inequalities：莫尔斯不等式

morphism 射 | morse inequalities 莫尔斯不等式 | morse theory 莫尔斯理论