英语词汇“law of least action”的英英意思、用法、释义、翻译、读音、例句、短语、词组-英语词典

P7. law (also principle) of least action (Physics): the principle that the trajectory of a mechanical system between two points in time is always such that it minimizes or (in later use) maximizes the action (action n. 12a) of the system; also in extended use.The significance of the principle is that it enables the equations of motion of such a system to be obtained. [In principle of least action after French principe de la moindre quantité d'action, lit. ‘principle of the least amount of action’ (P. L. Moreau de Maupertuis 1748, in Hist. de l'Acad. R. des Sci. et des Belles Lettres de Berlin 1746, 286).]

ΚΠ

1752 Gentleman's Mag. Aug. 372/2 There is all the reason in the world to allow that in this principle of the least action is involv'd the most general law of nature.

1814 J. Toplis tr. P. S. de Laplace Treat. Analyt. Mech. ii. 47 Maupertuis..asserted, that in all the changes which take place in the situation of a body, the product of the mass of the body by its velocity and the space which it has passed over is a minimum. This he called the principle of the least action, and it was applied by him to the discovery of the laws of the refraction and the reflection of light,..the laws of equilibrium, &c.

1834 W. R. Hamilton in Philos. Trans. (Royal Soc.) 124 252 Although Lagrange and others, in treating of the motion of a system, have shown that the variation of this definite integral vanishes when the extreme coordinates and the constant H are given, they appear to have deduced from this result only the well known law of least action.

1920 A. S. Eddington Space, Time & Gravitation ix. 149 The law of gravitation, the laws of mechanics, and the laws of the electromagnetic field have all been summed up in a single Principle of Least Action.

1960 W. V. Quine Word & Object i. 19 The deliberate scientist goes on in essentially the same way..and a law of least action remains prominent among his guiding principles.

1997 D. Park Fire within Eye vi. 184 The inventors of the science of mechanics sought and found principles of economy that govern the ball and other motions; they are generally called principles of least action (still suggesting some kind of economy), and all the great dynamical principles of modern physics are expressed in this way.

2006 N.Y. Rev. Bks. 19 Oct. 53/1 The principle of least action says that nature arranges all processes so as to minimize a quantity called action, which is a measure of the effort required to bring the processes to completion.

单词	law of least action
释义	> as lemmas law (also principle) of least action P7. law (also principle) of least action (Physics): the principle that the trajectory of a mechanical system between two points in time is always such that it minimizes or (in later use) maximizes the action (action n. 12a) of the system; also in extended use.The significance of the principle is that it enables the equations of motion of such a system to be obtained. [In principle of least action after French principe de la moindre quantité d'action, lit. ‘principle of the least amount of action’ (P. L. Moreau de Maupertuis 1748, in Hist. de l'Acad. R. des Sci. et des Belles Lettres de Berlin 1746, 286).] ΚΠ 1752 Gentleman's Mag. Aug. 372/2 There is all the reason in the world to allow that in this principle of the least action is involv'd the most general law of nature. 1814 J. Toplis tr. P. S. de Laplace Treat. Analyt. Mech. ii. 47 Maupertuis..asserted, that in all the changes which take place in the situation of a body, the product of the mass of the body by its velocity and the space which it has passed over is a minimum. This he called the principle of the least action, and it was applied by him to the discovery of the laws of the refraction and the reflection of light,..the laws of equilibrium, &c. 1834 W. R. Hamilton in Philos. Trans. (Royal Soc.) 124 252 Although Lagrange and others, in treating of the motion of a system, have shown that the variation of this definite integral vanishes when the extreme coordinates and the constant H are given, they appear to have deduced from this result only the well known law of least action. 1920 A. S. Eddington Space, Time & Gravitation ix. 149 The law of gravitation, the laws of mechanics, and the laws of the electromagnetic field have all been summed up in a single Principle of Least Action. 1960 W. V. Quine Word & Object i. 19 The deliberate scientist goes on in essentially the same way..and a law of least action remains prominent among his guiding principles. 1997 D. Park Fire within Eye vi. 184 The inventors of the science of mechanics sought and found principles of economy that govern the ball and other motions; they are generally called principles of least action (still suggesting some kind of economy), and all the great dynamical principles of modern physics are expressed in this way. 2006 N.Y. Rev. Bks. 19 Oct. 53/1 The principle of least action says that nature arranges all processes so as to minimize a quantity called action, which is a measure of the effort required to bring the processes to completion. extracted from leastadj.pron.n.adv. < as lemmas
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