查询词典 evolution equation

The common equation of the evolution of spectrum caused by selfphase modulationis presented, which is the convolution of action spectrum and chirped spectrum caused by selfphase modulation when carrier frequency is single.

给出了由自相位调制引起的频谱演变的普遍表示，即单载频脉冲的SPM引起的啁啾频谱与光源的频谱的卷积，通过数值计算给出从相干脉冲到非相干脉冲的频谱演变规律。

Compared with traditional numerical methods, the LB method has several important features, including: simplicity in algorithm, easily programming, direct calculation of pressure from a state equation and amenability to simulate all kinds of flow field with complex boundaries, it also has many advantages in the respect of parallel computation because of its regional evolution.

与传统的计算方法相比较，LB方法具有算法简单、编程容易、压力可以通过状态方程直接求解、能够模拟各种复杂边界的流场等优点，并且计算的局域性使其在并行计算方面也具有很大的优势。

Compared with traditional numerical methods such as the FEM, FDM, etc, the LB method has several important features, including: simplicity in algorithm, easily programming, direct calculation of pressure from a state equation and amenability to simulate all kinds of flow field with complex boundaries, it also has much advantage in the respect of parallel computation because of its regional evolution.

与传统的计算方法如FEM、FDM等相比，LB方法具有算法简单、编程容易、压力可以通过状态方程直接求解、能够模拟各种复杂边界的流场等优点，并且计算的局域性使其在并行计算方面也具有很大的优势。

We have get some interested results: such as, extended the auxiliary equation method, and which is also used to find the exact solitary wave solution of some nonlinear evolution equations.

如对辅助方程法进行了扩展，并利用两类新的辅助方程的解给出了一些非线性发展方程的新的精确孤立波解。

By using of both the approach of grand canonical ensemble and the approach of mean field equation to describe the evolution of particles on a node, we find that the stationary state of particle is determined by the strength distribution, in contrary to the case of asymmetric weights on the edge where the stationary state is determined by the degree distribution.

通过观察结点上的平均占有粒子数随时间的演化，数值模拟表明了系统在动力学的初始阶段出现了级次动力学过程，这个过程也同样是由强度的分布决定。

According to Lemaitre's damage evolution law and the assumption of this paper that the cyclic loading maximum tensile stress has the most contribution to the cyclic damage and assume that the stress is the maximum stress .The material parameters S which are expressed in exponential form and generalize the variation in the process of cyclic loading is exponential experience equation which provide the expectation of cyclic damage of 63Sn/37Pb material and lead it into the calculation of damaged incremental form and assume that damage keeps constant during the same cycle. The results match the experimental data. It proves that the Endochronic plasticity theorem adopt the calculation of damage environment.

根据Lemaitre损伤演化律及本文假设循环负载下拉应力在最大值附近对循环损伤的贡献最大，文中应力对各循环之损伤而言假设应力为最大拉应力，将材料参数S以指数型式表示，归纳出疲劳损伤在循环负载过程中的变化为指数型经验式，提供63Sn/37Pb材料在循环负载作用时损伤情况的预测，并引入含损伤增量式内涵时间之计算中，假设同一循环的损伤为定值，其计算结果与实验数据吻合，说明内涵时间塑性理论亦适用於损伤环境下的计算。

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。

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。

The bifurcation and chaos behavior of impact and rubbing fault rotor system caused by the parameters of nonlinear rigidity, rotor rotating speed, eccentric mass is analyzed, in the numerical value analysis method. The bifurcation diagrams, maximum Lyapunov exponent diagrams, Poincaré maps, phase plane portraits, trajectories of journal center, time-history curve, amplitude spectra diagrams of the rotor motion are used. The convert and evolution course of periodical response, quasi-periodical response, double-periodical bifurcation, chaos of the system response is analyzed.(3). It is deduced that the general differential equation of bending-torsional-pendular coupling vibration about rotor with the gyroscopic moment. On the basis of this equation, the general differential equations of coupled bending, torsional and pendular nonlinear vibration about rotor with unbalance character and rubbing character are deduced.

2建立了具有非线性刚度的转子系统在非稳态非线性油膜力作用下的径向碰摩动力学微分方程，并应用含高阶余项的非线性动力方程的线性化数值法研究了此类系统响应的复杂动力学行为，利用转子响应的分岔图、最大Lyapunov指数曲线、Poincaré截面映射、时域波形、相轨线、轴心轨迹、幅值谱等图形分析了系统响应的周期运动、拟周期运动、倍周期分岔、混沌等运动形式的转化与演变过程，重点研究了非线性刚度、转子转速、偏心质量等系统参数对碰摩故障转子系统的分岔和混沌行为的影响。

Price's development of the Price equation which is a mathematical equation used to study genetic evolution.

利他主义的研究是初步的动力乔治河普赖斯发展方程的价格这是一个数学方程来研究遗传进化。

Lugalbanda was a god and shepherd king of Uruk where he was worshipped for over a thousand years.

Lugalbanda 是神和被崇拜了一千年多 Uruk古埃及喜克索王朝国王。

I am coming just now,' and went on perfuming himself with Hunut, then he came and sat.

我来只是现在，'歼灭战perfuming自己与胡努特，那麼，他来到和SAT 。