| 1. | The steady state probability current is calculated for different values of colored noise correlation time in different periods
求出了不同周期中对应于不同的噪声关联时间的定态几率流。 |
| 2. | State probability was calculated with the past statistical data , increase and decrease value is estimated by the policymaker , with have sure disparity often actually
状态概率是用过去的统计资料计算的，损益值是由决策者估计的与未来实际往往有一定差距。 |
| 3. | Because the standard of the risk type decision is the expectation of the increase and decrease , and increase and decrease expectation was calculated according to state probability and increase and decrease value
3 、由于风险型决策的标准是损益期望值，而损益期望值是根据状态概率和损益值计算的。 |
| 4. | A supplementary variable technique is used to obtain the steady - state function and the steady - state probability generation function of the number of customers in the system
采用补充变量法，首先建立了系统稳态下的状态转移方程，通过求解得到了稳态下系统队长的概率母函数，进而计算出稳态下系统的平均队长。 |
| 5. | By the method of unified colored noise approximation and the transformation of noise terms in langevin equation , the corresponding fokker - planck equation is obtained . the steady state probability current is derived according to the conservation law of probability
通过统一色噪声近似和朗之万方程中的耦合噪声项的变换，可得到相应的福克?普朗克方程，再根据几率守恒定律推导出定态几率流。 |
| 6. | 4 . the non - linear interaction mechanism derived from the scale of system was discussed . the paper deemed that , falling sliding face is not a rectilinear type , the non - linear coupling of falling factors sharply enhanced in large sand - pile ; the stabilization of surface layer sands are different in the time and space , especially the stating probability is higher than halting , and probability of fault in slope foot is higher than top as well ; the faulting forms will be affected by bounder situation strongly
大尺度散粒体坡面的崩塌滑动面，一般并非直线形，在崩塌过程中的耦合作用将增大落沙规模；理想化的沿直线坡面滑动情况，坡面表层砂粒的稳定性也并不是在时间、空间上都均衡的，可以造成起动容易止动难，或坡角失稳概率大从而牵连整个坡面的情况；长大高陡坡面的失稳形式，可以受坡脚(边界)的巨大影响。 |
| 7. | We then consider the n policy m / g / 1 queueing model with two priorities . by using the supplementary variable method to analyze the state probability equations , we derive the generating function of queueing length distribution and the mean queue length in the buffer of the communications network . and through further discussing for the queue with various priorities , we derive the generating function of queueing length distribution and the stationary queueing length in queue models with various priorities
其次研究带有两个优先权的n策略m g 1排队模型，利用补充变量法对状态概率方程组进行分析，得出了此排队系统队长分布母函数及通信网缓冲器中的平均队长，并对不同优先权队列的进一步讨论，得出了不同优先权队列的队长分布母函数及稳态队长。 |
| 8. | Two different kinds of approximate theories for analyzing colored noise are employed in the nonlinear system . then effects of the colored nature of the noise on the statistical properties of the laser system , the stochastic resonance of bistable system , and the steady - state probability current of quasi - periodic system are investigated
本文主要通过两种不同的色噪声近似理论，分析了非线性系统噪声的有色性对激光系统的统计性质、准周期性系统的定态几率流和双稳系统中的随机共振现象的影响。 |
