查询词典 evolution equation

In the theoretical research of industry evolution,it is commonly believed that technological evolution is the fundamental pushing force of industry evolution.

在产业演化的理论研究中，一般认为技术创新是产业演化的根本动力，但对产业演化和企业创新的研究一直是独立进行的。

The time evolution of a quantum state is described by the Schrodinger equation, in which the Hamiltonian, the operator corresponding to the total energy of the system, generates time evolution.

薛定谔方程描述量子态的时间演化，在量子态哈密尔敦函数中，操作者与系统的总能量通讯，引起时间演化。

Based on Chaboche's Continuum Damage Mechanics Model, this study suggested low-cycle fatigue damage model under nonproportional loading, in which maximum shear stress and mean hydrostatic stress are considered as two basic parameters and nonproportionality of loading path is considered as a damage parameter to enter damage evolution equation which may well describe damage evolution law of low-cycle fatigue under nonproportional loading.

按Chaboche的连续损伤力学方法建立的多轴非比例加载下低周疲劳损伤模型，以最大剪应力和平均静水应力作为两个基本参量，将路径的非比例度作为损伤参量引入损伤演化方程中，可以较好地描述非比例加载下低周疲劳的损伤演化。

Based on Stuart et al.'s electron density evolution equation, the electron density evolution process in fused silica film irradiated by short-pulse laser for τ∈[0.015] ps were studied by means of numerical method. The effects of initial electron density N and laser pulse width τ on laser threshold intensity I and damage threshold fluence. F were analyzed respectively.

基于STUART等人的电子密度演化方程，运用数值模拟方法，研究了脉宽为τ∈[0.01， 5]ps范围内单脉冲激光作用下熔融石英薄膜中电子密度演化过程；讨论了初始电子密度、激光脉冲宽度对阈值功率密度和阈值能量的影响；分析了初始电子密度、激光脉冲宽度对多光子离化及雪崩离化的影响。

Studies show that the acoustic wave equation can be derived from Its evolution equation at the macroscopic limit.

研究表明，这样一种离散粒子系统中的统计平均量随时间的变化具有波动规律。

It is hardly to get and express the solution of the equation of evolution by the analysis, so it used to solve the equation by numerical method.

根据解析的方法求发展方程的解，并且通过已知函数表示出来。

We derived evolution equations of the corresponding Eu-clidean support functions.Finally we obtained that the solutions of the heat equation convergeto a point in infinite time,the solutions of the other equation converge to a point in a finite time

我们又得出相应的欧氏支撑函数的发展方程，最终得到热方程的解在无限时间时收敛于一点；另一发展方程的解在一个最大时间区间内存在，并且在有限时间内收敛于一点。

In this work, the equations describing circular Gaussian beams propagating inside absorptive Keer medium have been derived from nonlinear paraxial equation. Based on the equations, an evolution equation of beam waist lias been obtained.

本文从非线性近轴波方程出发，导出了在吸收克尔介质中具有二次位相因子的圆对称高斯光束的传输方程，得到了光束束腰的演化方程。

In this few decades, scholars paid attention to the research of Bragg reflection in regular waves. Thus, this study aimed to discuss the Bragg reflection in irregular waves. EEMSE is a numerical model based on evolution equation for mild-slope equation developed by Hsu et al.

以往关於系列潜堤之布拉格反射研究，在规则波方面的理论、数值研究与分析都渐趋成熟，而实际应用於海岸保护时需考虑波浪为不规则波，因此本文之重点在於探讨不规则波下之布拉格反射。

The microstructure evolution and composition distribution of the 7A55 cast and homogenized alloy were studied by optical microscopy, scanning electron microcopy, energy dispersive spectrometer, transmission electron microscopy and X-ray diffractometry. The homogenizing and overburnt temperatures of the alloy were determined. Meanwhile, the diffusion kinetics of the alloy elements during homogenizing treatment was investigated and the homogenizing kinetic equation was deduced according to Fick's First Law of diffusion. The diffusion of alloy elements, precipitation of Al3Zr particles and the conglomeration and globe of the insoluble phases were explained by the equation during homogenization.

摘 要：采用光学显微镜、扫描电镜、能谱分析、透射电镜和X射线衍射分析等研究了7A55合金铸态与均匀化显微组织演化与成分分布，确定了该合金的均匀化处理温度与过烧温度，研究了铸锭均匀化动力学过程，利用菲克定理导出了均匀化动力学方程，利用动力学方程对均匀化过程中合金元素的扩散、 Al3Zr的析出、难熔相的聚集和球化现象进行了解释。

Summary In copyright infringement cases,if the alleged infringer uses or even plagiarizes the copyrighted works or parts thereof,which causes no substantially adverse effect on the normal exploitation of the work,nor does it inflict any substantial damages to the right owner,the de minis doctrine should be applied to exempt the liabilities of the defendant and seek the balance of interests between the right owner and the general public embodied by the copyright law.

在侵犯著作权案件中，如果被控侵权行为人虽未经著作权人的同意，使用甚至抄袭了受著作权保护的作品或作品的片段，但若情节轻微，未对该作品的正常使用产生任何实质不利的影响，亦未对权利人的权利造成实质性的损害，则应适用&不计琐细原则&，免除行为人的责任，以寻求在权利人利益与著作权法所体现的社会公共利益之间的平衡。

This new product will become our best seller.

这个新产品会成为我们最畅销的产品。