最小作用量原理

Part Ⅰ deals with the foundmental theory of variational technique in the lossy electromagnetic fields. In chapter two and three the Green theorem is introduced so the unified method to derive functional is given. Chapter four is devoted to discuss two type of inner product. In chapter five the generialized least function theorem is given and applied in the derivation of variational expressions.

第一篇主要是关于有耗电磁变分的基础理论，由四章组成，前二章引入了以Green定理为核心的边值问题理论，建立了电磁变分的普遍理论，第四章从对称的观点出发讨论了建立泛函的两种内积形式，第五章给出了一般电磁场的广义最小作用量原理，并用之解决变分问题。

This paper discusses the mechanical properties of noncontemporaneous variation,from which the Hamilton principle and the principle of least action are derived.

本文讨论了非等时变分的力学性质，并由此导出Hamilton原理和最小作用量原理。

In this paper,we psesented that the principle of least action or Hamilton principle is ample and necessary condition of Lagrangian equation,pointed out the properties of Lagrangian function briefly,and gave the generalization and application of Lagrangian function in physics.

本文论述了力学最小作用量原理或哈密顿原理是拉格朗日方程的充分必要条件，简述了拉格朗日函数的性质，指出最小作用量原理及拉格朗日函数在物理学中的推广及应用。

According to the Least-action principle ,Distribution of Charge on Conductor surface is discussed by using of method of Lagrange s multiplier,and some useful results are obtained.

依据最小作用量原理，利用Lagrange乘数法讨论了导体上电荷的分布问题，得到了一些有用的结果。

Therefore, the principle of least action in heat transfer is studied and new principles are developed.

自然界众多的运动都是沿着"用力最小"的途径进行，在物理学上表现为许多物理现象遵循最小作用量原理。

In this paper we review historical development of the principle of least action ,pointing out its important rolein modern physics and cosmology.

本文评述了最小作用量原理的历史发展，指出了它在现代物理学、现代宇宙学中的重要地位，探讨了作用量概念的物理意义以及最小作用量原理的哲学意义。

In the derivation of the governing equations we will introduce how to use the Hamilton's principle of least action to account for added mass effects.

再推导统驭方程式过程中我们将会引进如何用汉米顿最小作用量原理说明附加质量的影响。

Then, in the study of finite degree of freedoms, we introduce the principle of least action, the Lagrangian formula, and the Hamiltonian formula.

然后在讨论多自由系统中引入最小作用量原理，并介绍拉格朗日、哈密顿程式。

The reflection coefficient and refraction coefficient are also given; the analysis shows the versatility of the principle of least action ,Snell s law and Fresnell s law in the research on the left-handed material,and the negative refraction effect is explained.

研究了电磁波在左右手介质界面折射与反射的特性，给出了折射系数和反射系数，从另外一个方面探讨了最小作用量原理在左手材料中的适用性；从电动力学和最小作用量原理证明了Snell定律，验证了Snell定律在左手材料中的适用性，并且得到Fresnell公式在左右手材料中的一致性。

Pauli's exclusion principle might have been called a law (and Heisenberg's principle did indeed get picked), and either Maupertuis' rule of least action or Hamilton's related principle are surely as important as they come.

泡利 不相容原理可被称之为定律（海森堡定律确实众望所归），而且至少莫伯丢的最小作用量原理或者哈密顿的相关原理是确实如它们的名称所表明的那样是重要的。

As she looked at Warrington's manly face, and dark, melancholy eyes, she had settled in her mind that he must have been the victim of an unhappy attachment.

每逢看到沃林顿那刚毅的脸，那乌黑、忧郁的眼睛，她便会相信，他一定作过不幸的爱情的受害者。

Maybe they'll disappear into a pothole.

也许他们将在壶穴里消失