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Chapter two proposes the unified form of Hojman"s conservation law and Lutzky"s conservation law. Firstly, the author introduces the general Lie group of transformations that the variations of both the time and the generalized coordinates are considered, derives the determining equation of Lie symmetry for the system, presents a new conservation law, which contains the Hojman"s and the Lutzky"s conservation law as two special cases, and obtains a condition to exclude trivial Hojmans conserved quantities.

第二章,Hojman定理和Lutzky定理的统一形式:首先,引入一般意义下的Lie变换群(即位型变量q_s和时间变量t同时变换),给出系统的Lie对称性确定方程,提出一个新的守恒律,Hojman定理与Lutzky定理则分别是这个新守恒律在两个特殊情况下的推论,导出一个可排除平凡Hojman守恒量的定理,并分别讨论了Birkhoff系统和非完整系统的Lie对称性和Hojman守恒量,最后,讨论了Hamilton系统的梅对称性与Lie对称性的关系,给出了由梅对称性求Hojman守恒量的方法。

The main frequency of explosion vibration wave of measuring points in different quantities of detonator is discussed.

分析不同药量爆破下各测点的波形主频率和药量相同、不同距离测点的加速度、主频及主频域,归纳出等距离测点、不同药量爆破振动的频谱特性和爆破地震波传播过程中频谱变化的特性,为类似工程提供借鉴。

The monophagous species must produce large quantities of an enzyme to detoxify their food.

单食性种类必须产生大量单一的酶使它们的食物解毒。

Most diabolically, our bodies are addicted early to substances that we then crave for a lifetime, substances that nature endowed us with a liking for because in nature they're essential and, in small quantities, good for us.

更可恶的是,我们的身体更早沉迷于那些我们渴望一生的物质,那些自然赋予我们的,事实上是必需的而且少量的话会对我们有好处的深受人们喜爱的物质。

An eigen matrix diagonalization method for solving this category of special mechanical quantities is derived.

在力学中,类似这些力学量的求解可归结为矩阵特征值或特征向量的求解。

This paper measures the changes of PH as the change of quantities of ethylene diamine and the addition of base in copper-ethylene diamine system.

当配合物的配体是弱酸时,配合物的生成会改变溶液的PH值,通过测量溶液PH值的改变可以计算配体的平

He difference between quantities equation and numerical value equation is analyzed in detail.

从定义、概念、应用以及相互关系等方面对量方程式和数值方程式进行了分析对比,指出了正确使用这两种方程式的重要性和方法。

On the other hand, share content in great quantities with media can diluent your website attribute?

另一方面,和媒体大量共享内容会不会冲淡你们的网站属性?

Dimensional analysis is used on basic equations in order to estimate the quantities of different wave effects.

研究的内容主要包括:通过多重尺度展开方法,将波浪的影响参数化,推导出考虑波浪影响的潮流控制方程。

Dimensionless quantities in physics are those that require no unit.

物理学中无量纲的量就是不需要单位的量。

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"Second Life is remarkably easy to work with, and is very popular,"

"第二次生命是显着容易的工作,并且很受欢迎,"

For example, we usually assume that materials are homogeneous and isotropic and free of internal defects or flaws.

为了得到适合有限元分析的模型,我们必须经过如图2所示的简化步骤。

Rev. 20:15 And if anyone was not found written in the book of life, he was cast into the lake of fire.

启二十15 无论谁在生命册上不见是记著的,就被扔在火湖里。