查询词典 calculus of variations

Optimal control theory is a generalization of the calculus of variations.

变分法寻求优化的目标界定了许多时间点，考虑如何目标函数的变化，如果有一个小变化，选择的道路。

As a branch of mathematics, the birth of calculus of variations is the phenomenon results of many of the world's scientists continue to explore the reality.

变分法作为数学的一个分支，它的诞生是科学家对现实世界许多现象不断探索的结果。

Chapter 7 considers application of variation methods to systems with infinite degrees of freedom, and Chapter 8 deals with direct methods in the calculus of variations.

第7章认为，变异的系统方法的应用与自由无限度，和第8章在变分法直接的方法处理。

Calculus of variations is a field of mathematics that deals with functionals , as opposed to ordinary calculus which deals with functions .

变分法是处理函数的函数的数学领域，和处理数的函数的普通微积分相对。

His thesis dealt with the topic of the calculus of variations.

后来他又到芝加哥大学攻读博士学位，于1937年他33岁时终于取得了博士学位。

The shape optimization is studied by adopting the domainintegrated method which is based on the calculus of variations during the shape design sensitivity analysis.

探讨了基于变分法的敏度分析在形状优化设计中的应用，提出敏度分析过程中提高速度场求解效率和有限元网格质量的新方法。

In modern physics research, the calculus of variations has a broad application of law. As a solid mechanics, structural mechanics and computational mechanics of the theoretical foundation, it has important value in theory and practice on the mechanics; Variation method ruled out the perturbation of the restrictions can be widely used in many state-level and the state function in the calculation in the optical; Calculus of variations can be calculated with the parameters, we can guarantee the reliability of the results, can effectively reduce the workload of calculation, It can be said that the applications of calculus of variations are very broad.

在现代的物理学研究中，变分法有着广泛的应用：在力学上，变分法作为固体力学、结构力学及计算力学的理论基础，在理论上和实践上都有重要的价值；在光学上，变分法排除了微扰法的限制，可以广泛应用于诸多定态能级和态函数的计算中；在量子力学的应用中，具有可算出系统的参数，既可以保证计算结果的可靠性，又能有效地减少计算的工作量等的优点，可以说变分法的应用领域十分广阔。

Family of Swiss mathematicians and scientists, includingJakob or Jacques (1654-1705), an important theorist of ordinary calculus and the calculus of variations.

伯努利：瑞士数学家和科学家家族，包括雅各或雅克（1654-1705年），是关于一般微积分和变分微分的重要理论家。

By investigating Newton\'s Problem of the Solid of Least Resistance,John Bernoulli\'s Brachystochrone Problem and Jacob Bernoulli\'s Isoperimetric Problem, the physics and Calculus background of the calculus of variations is illustrated,the fundamental thought together with the patterns of solutions are summarized,and the ideas and the interaction of the pioneers,such as the Bernoullis and B.

通过考察牛顿最小阻力体问题、约翰·伯努利最速降线问题和雅可布·伯努利等周问题等问题的提出过程及解决方法，深入探究了变分法诞生的深刻背景，提炼和概括出了伯努利兄弟和泰勒等先驱者解决变分问题的基本思想和求解模式，追溯了其微积分渊源，并分析了三位先驱(来源：ABCbc论文64网www.abclunwen.com)者之间的变分法思想传承及相互影响。3。

Matrices, Vector and Vector Calculus, Newtonian Mechanics-single Particle, Oscillations, Nonlinear Oscillations and Chaos, Gravitation, Some Methods in the Calculus of Variations, Hamilton's Principles Lagrangian and Hamiltonian Dynamics, Central-Force Motion, Dynamics of a System of Particles, Motion in a Noninertia Reference Frame, Dynamics of Rigid Body.

矩阵和向量的计算、单一质点的牛顿力学、线性与非线性的振动运动、重力、微积分上的变分法介绍、哈密顿原理、拉氏及哈氏力学、连心力下的运动、质点系的运动力学、在非惯性坐标中的运动、刚体的运动。

The split between the two groups can hardly be papered over.

这两个团体间的分歧难以掩饰。

This approach not only encourages a greater number of responses, but minimizes the likelihood of stale groupthink.

这种做法不仅鼓励了更多的反应，而且减少跟风的可能性。