第八章讨论了上述理论的应用范围，提出了用二阶理论改进的方法。
The method for the additional deformation of the bar with initial stress was modified, by using a second-order deformation theory.
研究了相对激发度在什么范围时三阶理论可用于分析气体激光器的运转。
The region of the relative excitations has been studied, in this region the third-order theory can be applied to analysis the operation of the gas laser.
虽然五个标准的侧重点不同，但是都不能给权利位阶理论以有力的支撑论证。
Although the focus of five different standards, but do not give the right-to-order theory of the strong support demonstrated.
利用频率域模型降阶理论，提出了高阶时滞对象的预测PI (D)控制器两种设计方法。
Based on the model reduction theory in frequency-domain, two predictive PI (d) controller design methods for high order processes with time-delay are proposed.
在计算实践中，处理大型多项式时，由于复杂性原因，实闭域一阶理论判定方法实际上无效。
The conventional methods do not work in practice when dealing with large polynomials because of their high complexity.
立法方面权利位阶理论的主要论点包括效力标准、效益标准、基本标准、逻辑标准、需要标准。
Legislative right of the main points of order include the effectiveness of standards, efficiency standards, basic standards, standards of logic, the need for standards.
由二阶理论建立了梁杆结构分析的精确几何非线性有限元增量平衡方程，并利用精确有限元方法对一些典型结构进行了稳定性分析。
Accurate geometry! Non linear finite element increment equilibrium equation is set up by two orders theory. Typical structure stability is analyzed with this accurate finite element method.
目前关于权利位阶理论的具体表现。人们更多的从立法方面来谈论权利位阶，而将权利冲突的权衡看作是权利位阶在司法方面的体现。
More people from the legislation in order to talk about rights and the right to weigh the conflict as a right-of-order embodied in the administration of justice.
他说：“三阶干扰项的存在将对理论有巨大影响——动摇量子力学的核心，”他说。
"The existence of third-order interference terms would have tremendous theoretical repercussions - it would shake quantum mechanics to the core", he said.
所以我匆忙地写了篇论文，给出一阶近似解并指出至少在这个精确度下，理论和实验结构都相符合。
So I hastily wrote up a paper giving the first order of approximation and showing that to that accuracy, at any rate, we had agreement between the theory and observation.
与此相反，牛顿的理论只允许用大梯阶量联络远距离事件。
In Newton's theory on the contrary, only big steps connecting distant events are permissible.
由迭代算法得到的直到六阶的摄动补充完整了远日的四个行星的理论。
Perturbations up to the sixth order obtained by an iterative method complete the theory of the four outer planets.
本文将二阶矩两相湍流模型和颗粒动力学理论结合，提出了各向异性的二阶矩稠密两相湍流模型。
Finally an anisotropic two-phase turbulence model for dense gas-particle flows combining the usm model with the particle kinetic theory is proposed.
根据模态分析理论，我们很容易说明为了估计一个系统的所有阶模态，只需要一个参考点—至少从理论的角度来看！
From modal analysis theory, we can easily show that only one reference is necessary in order to determine all of the modes of a system - at least from a theoretical standpoint!
这是一个用于一阶和逻辑方程序的自动理论证明器，用于支持语言处理中的推理。
This is an automated theorem prover for first-order and equational logic, used to support inference in language processing.
现代控制理论的状态变量法提供了一种统一、高效的方法来描述具有任意阶次、线性或非线性、时变或常系数的各种系统。
The state variable approach of modern control theory provides a uniform and powerful method of representing systems of arbitrary order, linear or nonlinear, with time-varying or constant coefficients.
研究表明，其中第32阶谐振频率上探头的灵敏度最高，这一分析结果与实验结果基本一致，验证了所建立的理论模型的有效性。
It was found that the transducer has the highest sensitivity at the 32nd order resonant frequency, which agrees with the experimental result. This indicates the validity of the model.
在轨迹降阶的基础上，根据EEAC理论，通过识别聚合轨迹的动态鞍点来判断轨迹的稳定性。
Based on the theory of EEAC, transient stability of power system was estimated by identifying the dynamic saddle point .
对它的研究始终处于一种“无序”的“非理性”状态，因而导致称谓繁杂、阶名不一、理论相悖。
Its research is in an non-rational estate for out-of-order, therefore to bring on the titles miscellaneous, names of scales various, theories confused.
应用作者提出的二阶势理论，本文研究了各向同性弹性介质中P波与SV波的非线性相互作用，得到了相互作用波的表达式。
Using the second-order potential theory proposed by the author, this paper gives an investigation to the nonlinear interaction of P and SV waves in isotropic elastic media.
基于一阶剪切变形理论和哈密顿原理，建立了旋转层合圆板动力学运动方程和相应的边界条件。
Based on the first order shear deformation theory and Hamiltonian principle, the governing equations and boundary conditions of rotating multi-layer annular plate were derived.
通过应用高温构件蠕变损伤的随机方程及一次二阶矩理论和方法，对高温构件的概率寿命预测进行了研究。
The probabilistic life prediction of high temperature components was studied by using the stochastic equation of creep damage and simple second-order theory and method of high temperature components.
基于一阶剪切变形板理论，推导了功能梯度材料圆形板在边界面内均布压力作用下的轴对称屈曲方程。
Based on the first-order shear deformation plate theory, axisymmetric governing buckling equations are derived for a functionally graded material circular plate subjected to in-plane pressure.
本文模拟人类认知的分层递阶原则，提出一种粗糙集理论的分层递阶约简算法。
Simulating the hierarchical principle of human cognizance process, a hierarchical reduction algorithm of rough set theory is proposed in this paper.
根据一阶拟线性偏微分方程组的特征理论，讨论内弹道两相流方程组的类型。
Following the theory on characteristics of first order quasi-linear partial differential equations, classification of the balance equations for two-phase flow in interior ballistics is discussed.
运用二阶微扰理论，本文第一部分首先计算了高阶力常数的表达式。
Using the second order perturbation theory, the formulae of vibrational force constants are derived in part one.
最后以全程制导为例，说明二阶摄动制导理论的应用。
Finally, an example on applying the second order perturbed guidance theory for all-way guidance is given.
基于BBGKY方程，采用二阶扰动理论探索了可观物理量与扰动波矢的相互关系。
The relationship between physically observable quantities and perturbed wave vector is explored on the basis of BBGKY hierarchy equations and the second order perturbation theory.
因为就我所见，阶群理论和任何事情都毫不相关，至少是我能够想象到的任何事！
As it was presented to me, the Theory of Groups seemed disconnected from everything, or at least anything I could imagine.
对界面反射超声散斑场的一阶统计特性进行了理论和实验分析。
The first order statistical properties of the ultrasonic speckles reflected from an interface is analyzed theoretically and experimentally.
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