母函数 meaning in English
determining function
erzeugende funktion generating function
generatingfunction
moment generating function
Examples
- Fourthly we use the infimum of the moment generating function to study the a - transient and a - recurrent for random walks and levy processes , give a dichotomy theorem for not one - sided processes and prove tha t the process x is quasi - symmetric if and only if x is not a - recurrent for all a < 0 which is the probability explanation of quasi - symmetry
对于随机游动和l vy过程，我们用矩母函数的最小值讨论了他们的-常返性和-暂留性，给出非单边过程的一个二分定理，并证明了拟对称过程等价于过程对任意0都是-常返的，这是拟对称的概率意义。 - The simulation analysis using the ideal spectrum signal prototype which is constructed based on the infrared ray spectrum of octane level measure indicates that this method gives better signal to noise ratios and performance index ( g ) than conventional wavelet thresholding method via different kinds of mother wavelets
仿真实验结果显示，对于不同的小波母函数，采用该方法去噪后的结果优于未经能量元转换的原方法，而且对于含有较高频信息的信号，该方法的结果比原方法明显更优越。 - This work comprises of the following parts : firstly , some research on diagnosis theory and fault signal is carried out and concluded that the diagnosis process needs wavelet analysis ; secondly , theory basis of wavelet analysis is researched . emphasis to its explanation of engineering is given . according to analyze concrete performance , the appropriate wavelet function for diagnosis is obtained ; thirdly , research on the application of wavelet transform in nonsteady signal is conducted
主要内容如下：首先，研究了小波分析在故障诊断中的意义，从诊断理论和故障信号特点两方面说明对故障信号进行小波分析是诊断过程的内在要求；其次，研究了小波分析的理论基础，重点说明其工程解释，并通过分析具体的性能指标得到适合故障信号分析的小波母函数；第三、研究了小波分析在非平稳信号分析方面的实际应用，说明了小波分析对此类信号分析有着傅立叶分析不可比拟的优势。 - Using the method of imbedded markov chain , probability generating funtion and laplace transform , we can obtain the mean queue length , mean waiting time for each queue and generalize this conclusion to multi - priority queues . this chapter includes four sections . in the first section , the detailed description of the system is given , and the set of stationary equations of the imbedded markov chain is obtained
第二章考虑的是一个三个队输入的带优先权非抢先的m m 1系统，这是一个连续时间的排队系统，采用嵌入马尔可夫链的方法，以母函数和拉普拉斯变换为工具求出了三个队的平均队长和平均等待时间，并给出了此结论推广到n个队的根据和方法。