查询词典 derived function

Chapter four studies the chaotic responses in a system consisting of simple pendulum and harmonic oscillator under bounded noise excitation. Firstly, the Melnikov function of the two-degree-of-freedom system under Hamiltonian perturbation is derived. The essential condition of the autonomous system for the probable onset of chaos is obtained, the Poincare maps of the system under small Hamiltonian perturbation and the effect of increasing perturbation on the Poincare maps are studies. Then for the non-autonomous system under damping and harmonic or bounded noise excitation, the largest Lyapunov exponent and Poincare maps are calculated. From the analysis of the largest Lyapunov exponent, the critical criterion for the onset of chaos, and the conclusion that the threshold of bounded noise amplitude for the onset of chaos in the system increases as the intensity parameter of Wiener process increases are obtained. The result from the analysis of Poincare maps is in agreement with that obtained from the Largest Lyapunov exponent. The effect of varying damping coefficient and intensity parameter of Wiener process is also analyzed.

第四章研究了有界噪声激励下的两自由度单摆—谐振子系统的混沌运动，首先推导了该两自由度系统仅在Hamilton扰动下的Melnikov函数，得到该自治系统可能产生混沌的必要条件；研究了该系统在小的Hamilton扰动和增大摄动情形下的Poincare截面；然后对有阻尼、谐和或有界噪声激励下的非自治系统数值计算了其最大Lyapunov指数和Poincare截面；从Lyapunov指数分析得到了这个两自由度系统产生混沌运动的临界条件及产生混沌的临界激励幅值随Wiener过程强度参数值的增大而增大的结论，Poincare截面分析的结果亦符合Lyapunov指数分析的结论；研究了Wiener过程强度参数、阻尼系数变化对Poincare截面的影响。

In order to make motion planning fitting practice,many characteristic of CNC trajectory motion were discussed,such as the geometric,the motion and the time,the relation between orbit function and motional parameter was set up,the differential simultaneous equation about the trajectory motion was derived.

为了让运动规划符合实际，分析了数控加工轨迹运动几何特性、运动特性和时间特性，建立了轨道函数与运动参数的联系，推导出轨迹运动微分方程组。

Considered the factor of damping,a single degree of freedom s dynamic model of the high-speed cam mechanism is established.Choosing the law of sine acceleration motion as the excitation function,a displacement and acceleration dynamic response equations of the main vibration phase and residual vibration phase,the working dynamic response change curve through the inferential reasoning working end movement equation is derived.The result is obtained that different period and damping ratio have different impact

建立了考虑阻尼因素的等效单自由度高速凸轮机构的动力学模型，以正弦加速度运动规律方程为激振函数，推导出了从动件系统主振段和余振段的位移和加速度动态响应方程并绘制出了动态响应变化曲线，得出了不同阻尼比和周期比对主振段和余振段的动态响应，从而为高速凸轮机构的合理设计提供了一定的理论依据。

While for the sinusoidal approximation method, a detail derivation of the amplitude of each sinusoidal function is re-derived for completeness.

为完整性，文中亦详细推导正弦函数近似法中各个频率之振幅。

An equation, formula( 3 ), and an analytic solution of it, formula, are derived Using formula( 5 ) and a data set obtained from etc., the luminosity function of nearby galaxies is calculated; and A comparison of our result with and[ 8 ] is made.

得到了一个方程，式(3)；和这个方程的一个分析解，式(5)。应用公式(5)和由[11]等得来的一组资料，计算出附近星系的光度函数。

Integration equations have been derived which discribe the relationship between spherical projection and image function.

第三章和第四章分别求出了两种模式近场微波分集成像系统的图像函数解。

The formula for computing the 3-dimensional axially symmetrical steady magnetic field for vectorpotential is derived by the spherical function expansion.

本文用球函数展开法推导出计算轴对称三维稳恒磁场矢势的公式，应用该公式既能计算电流分布区域外部的磁场，又能计算电流分布区域内部的磁场。

Based on instantaneous potential energy principle and spline interpolate function, the dynamic equation of flat spherical shell is derived.

基于瞬时变分原理与样条函数理论，建立扁球壳的动力方程。

This paper is concerned with two problems: First, a formula is derived to estimate the error of system identification from the autoeorrelative function of stationary random disturbances and that of pseudo-random sequences. It can be used to select the type of pseudo-random sequences to be used for quick identification with a given error.

本文讨论了两个问题：(1)导出了平稳随机干扰的自相关函数、伪随机序列的自相关函数和系统脉冲响应辨识误差之间的定量关系式，可用来选择伪随机序列和估计试验误差。

By using complementary variable method to analyze the state-changing equations of this queueing system, the generating function of stationary probablity distribution of retrial queue length, some performance indexes such as three different stationary state probablity,stationary availability, and stationary failure frequence of the transfer-unit are derived.

研究通信网络中交换单元的可修模型M1，2，3/G/1，呼叫的到达是重试性的，利用补充变量法对排队系统的状态转移方程作了分析，求得了重试队列稳态队长概率分布的母函数以及交换单元的处于三种不同状态下的稳态概率、稳态可用度及稳态故障频度等性能指标。

According to the clear water experiment, aeration performance of the new equipment is good with high total oxygen transfer coefficient and oxygen utilization ratio.

曝气设备的动力效率在叶轮转速为120rpm～150rpm时取得最大值，此时氧利用率和充氧能力也具有较高值。

The environmental stability of that world - including its crushing pressures and icy darkness - means that some of its most famous inhabitants have survived for eons as evolutionary throwbacks, their bodies undergoing little change.

稳定的海底环境─包括能把人压扁的压力和冰冷的黑暗─意谓海底某些最知名的栖居生物已以演化返祖的样态活了万世，形体几无变化。