查询词典 holonomic

It is proved that the model of Hertz, Capon and Lindel"of areidentical to Vakonomic model while the model of H"older, Pars andChaplygin are identical to Chetaev's model. The fact thatVakonomic model and Chetaev's model exist simultanously can betraced back to the early days of non-holonomic mechanics. These twomodels cause two problems the d- and - permutable problems.

论证了Hertz， Capon和Lindel"of的工作与Vakonomic模型相吻合，而H"older， Pars和Chaplygin的工作与Chetaev模型相吻合，Vakonomic模型和Chetaev模型两类模型并存的局面可以追溯到非完整力学发展的初期。1mm说明了伴随两类模型并存的现象而出现的两个问题 d-交换性问题和-交换性问题。

The studyshows that Chetaev's model for mechanicalsystems with non-holonomic con-straints can be reduced to three essential factors:(1)a kind of direct sum ofjet bundles according to the constraints,(2)D′Alembert's principle,(3)pos-tulate of ideal constraints.The first among the three factors only has geomet-ric significance and the second is a fundamental physics principle independentof any constraints.

研究表明，非完整约束力学系统的Chetaev模型归结为三个要素：(1)射丛按约束的直和分解；(2)D′Alembert原理；(3)理想约束条件，其中(1)仅具有几何意义，(2)为与约束无关的基本物理原理，而(3)是对约束力学系统的限制条件。

The two kinds of symmetries in holonomic and non-holonom-ic mechanical systems,i.e.symmetries of differential equations of motion(ab-breviated as SDEM)and symmetries of Noether-type,and interrela-tions among all kinds of symmetries are investigated.The necessary and suffi-cient conditions of SNT to be SDEM are found out.It is pointed out thatSDEM have distinct geometric properties which are equivalent to the geodesiccharacteristic of differential equations of motion and geodesic deviation.

文中研究了完整与非完整力学系统的两类对称性，即运动微分方程的对称性和Noether型对称性，以及各种对称性之间的相互关系，确定了Noether型对称性为运动微分方程对称性的充分必要条件，并指出运动微分方程的对称性具有明确的几何性质，即它等价于运动微分方程的测地性质以及测地偏离性质。

For instance, the public security system usually has the holonomic system, simultaneously the high safety requirements, by now the pure service pattern with difficulty achieved to the digital sensitive information security.

比如，公安系统通常有较完整系统，同时又较高的安全要求，这时纯粹的服务模式难以达到对数字的敏感信息的保密。

Hamilton principle can be used in holonomic system and intrinsical linear nonholnomic system. The formulas of them are unified. Hamiltonian action is stability in intrinsical linear nonholnomic system.

本文将Hamilton原理应用到本质线性非完整系统，首次证明了在本质线性非完整系统中，Hamilton作用量为稳定的作用量；将完整系统和本质线性非完整系统的Hamilton原理从形式和本质上统一起来。

Between the chaos caused by war, the political struggle, the human and the human engage in factional strife, the traditional morality to crush mutually, the majority of people have not been able to accept holonomic system's good education, after with great difficulty reform and open policy, also encounters the organizational reform, comes off sentry duty, the medicine changes, the reform of the housing system and so on and so on, says regarding their this generation of people, the survival, continuously the survival which paces back and forth nearby the low-income level as well as to survive all sorts of endeavors which makes and struggles, is primary coverage which they live, in theirs idea, lives is most important.

战乱、政治斗争、人与人之间相互倾轧、传统的道德观念被粉碎，大部分人未能接受完整系统的良好的教育，好不容易改革开放后，又遭遇体制改革，下岗，医改，房改等等等等，对于他们这代人来讲，生存、一直在贫困线附近徘徊的生存以及为了生存做出的种种努力和挣扎，是他们生活的主要内容，在他们的观念里，活下来才是最重要的。

In order to improve services trade competitiveness and the country competitiveness, China must strengthen the two advantageous factors to generate "leading effect", and at the same time, improve the two disadvantageous factors to weaken "cask effect", because all influence factors are a holonomic system.

因此，中国必须增强"两强"因素以发挥其"龙头"效应、改进"两弱"因素以削弱甚至消除其"木桶短板"效应，以便最大限度提高服务贸易国际竞争力和国家竞争力，此是因为"一个产业的任何一项关键要素出现问题都将伤害其升级的潜力"。

For the relativistic holonomic nonconservative system, a new Lie symmetrical non-Noether conserved quantity is given under general infinitesimal transformations of groups in which time is variable.

[1]浙江理工大学数学力学与数学物理研究所，杭州310018 [2]辽宁大学物理系，沈阳110036 [3]北京理工大学理学院，北京100081研究非完整力学系统的形式不变性导致的非Noether守恒量——Hojman守恒量。

Secondly,the condition under which the Noether symmetry is a Lie symmetry is obtained.Finally,a generalization of Hojman theorem is given and two examples are given to illustrate the application of the result. analytical mechanics ; holonomic system ; symmetry ; conserved quantity

新近出现的形式不变性理论也取得进展[6～8]，文献[9]研究了完整力学系统由Lie对称性导致的Hojman守恒量，本文继文献[9]，研究完整力学系统由Noether对称性导致的Hojman守恒量。1 系统的Noether对称性与守恒量完整力学系统的运动微分方程为 Es=Qs (s=1，…，n)(1)其

Presents a new formulation of Lagrange s equations by using an augmented Lagrangian function with the first order non linear nonholonomic constraint equations, and offers a unified variational approach to both holonomic and nonholonomic constraints.

采用带有二阶非线性非完整约束方程的扩张性拉氏函数，建立起了拉格朗日方程的又一新公式，该新公式较为规则，它提供了一种完整约束系统和非完整约束系统两者统一的变分方法。

Breath, muscle contraction of the buttocks; arch body, as far as possible to hold his head, right leg straight towards the ceiling (peg-leg knee in order to avoid muscle tension).

呼气，收缩臀部肌肉；拱起身体，尽量抬起头来，右腿伸直朝向天花板（膝微屈，以避免肌肉紧张）。

The cost of moving grain food products was unchanged from May, but year over year are up 8%.

粮食产品的运输费用与5月份相比没有变化，但却比去年同期高8％。