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The identity and difference in the expressional patterns between distribution functions of discrete random variables and distribution functions of continuous random variables are elaborated,and the main expressional patterns of distribution functions of continuous random variables are summarized,and the derivability of distribution functions of continuous random variables is discussed.

0引言在概率论中,连续型随机变量分布函数的表达形式及其可导性是一难点。其一,离散型随机变量的分布函数有较明显的性质和统一的表达形式,而连续型随机变量,由于其概率密度函数一般为分段函数,根据其分段区间的差异,表达形式差异较大,不容易总结其规律,本文主要比较连续型随机

Studies showed that there were two typical combinations of the facies in the filling sedimentary sequence of the epicontinental basin, wherein one was the depositional diastem developed between the facies, which was a discontinuous combination of the depositional facies with continuous time sequence, namely the exposed sediments, the tidal flat swamp and the peat swamp, and the shallow marine sediments appeared from bottom to top; and the other was the continuous sequence with gradually evolved sedimentary environment, in which it was a continuous process that the tidal flat swamp turned gradually into the peat swamp.

研究表明:陆表海盆地充填沉积序列中有两种较为典型的相组合,一是相与相间发育沉积间断面,为不连续沉积相组合,但在时间序列上是连续的,即自下而上依次为暴露沉积、潮坪沼泽及泥炭沼泽、浅海沉积;第二种序列是连续相序,盆地的环境演化是渐变的,潮坪沼泽化逐渐泥炭沼泽化是一个连续过程。

Chapter 1 gives the background,current research process of relatedproblems and summarizes this thesis\'s work.In chapter 2,we study the Brownian motion with holding and jumping on the boundary.We use the resolvent method to obtain the infinitesimal generator because the domain of the infinitesimal generator is essentially the same as the range of the resolvent.Knowledge of this range and of the differential operator determines uniquely the infinitesimal generator.Since the semigroup generated by the DHJ is not strongly continuous,to use the nice property of strongly continuous semigroup in analytic theory,in chapter 3 we show that the dual is strongly continuous and derive ergodicity through spectral radius formulas and finally obtain the ergodic theorem by duality. In chapter 4,we discuss a class of a more general process---one dimensional Feller diffusion proposed by W.Feller in 1954.The Feller diffusion allows the possibility of jumps from boundary to boundary,not only from boundary to the interior.We give the stationary distribution of this process.

具体地,本文的结构如下:第一章给出了问题产生的背景,研究现状及本文的主要工作;第二章研究了在边界上逗留后随机跳的布朗运动,我(来源:3dABC论文网www.abclunwen.com)们用预解算子的方法得到其无穷小生成元,因为无穷小生成元的定义域本质上就是预解算子的值域,知道这个值域和微分算子形式就能唯一地决定无穷小生成元;由于DHJ过程产生的半群不是强连续的,为利用强连续半群的一些漂亮性质,在第三章中我们证明其对偶半群是强连续的,然后由谱半径公式得到遍历性并且最后由对偶得到遍历定理;第四章讨论了Feller在1954年引入的更广的一类过程----一维Feller扩散过程,Feller扩散过程允许有从边界到边界的跳发生,即不仅仅局限于从边界到内部的跳,在这一章中,我们给出了一维Feller扩散过程的平稳分布;在第五章,我们讨论了一些相关的问题,给出了DHJ过程对应的PDE问题及特征值与收敛速度的关系。

Firstly, we consider SIQR epidemical models with continuous and pulse vaccinations; the reproduction numbers have been obtained for those models; by using Dulac function, we prove the global stabilities of equilibrium of SIQR model with continuous vaccination. In the SIQR epidemical models with pulse vaccinations, we have also discussed the existence of the infection-free periodic solution, the global stabilities of the infection-free periodic solutions, and the effectiveness of pulse vaccination and continuous vaccination policies has been compared for the two models.

文中首先考虑具有连续免疫接种和脉冲免疫接种的SIQR传染病模型,分别获得了它们各自的基本再生数;利用Dulac函数方法证明了具有连续免疫接种的SIQR模型无病平衡点的全局渐近稳定性;在脉冲免疫接种下SIQR传染病模型里,讨论了无病周期解的存在性,证明了该周期解的全局渐近稳定性,并且对连续和脉冲接种下的SIQR传染病模型的接种效率进行了比较。

In this paper,results of Markov chain are used under the circumstances of the automaton model which belongs to logical level of Discrete Event System to analyze the steady states and transient states of the Markov model of DES,respectively based on four conditions of discrete-time parameter and continuous-time parameter.A simpler decision rule of system ergodic property which applies both to the conditions of discrete-time parameter and continuous-time parameter is presented through an example.The transient states of DES which under the condition of continuous-time parameter are analyzed and computed based on Kolmogorov backward equation or forward equation.

利用马尔科夫链的结果,在离散事件系统逻辑层次的自动机模型基础上,对DES的Markov模型的稳态和暂态特性,分别从时间参数连续和离散的情况下,分四个情况进行了分析,通过实例对系统遍历性提出了一条更简单的且在连续和离散时间参数情况下都通用的判定规则,并利用Kolmogorov向后或向前方程,对连续时间参数DES的暂态特性进行了分析和计算。

It contains: a continuous guide frequency generating module to generate DPCCH non-guide frequency emission estimation value according to input DPCCH de-spread signal and guide frequency emission signal, and combine the estimation value with the DPCCH guide frequency emission signal to generate continuous guide frequency; an average fading factor generating module to generate average fading factor of each DPCCH code according to the input continuous guide frequency and DPCCH de-spread signal; a demodulation signal generating module to generate DPCCH and DPDCH demodulation signals according to the input average fading factors and DPDCH and DPCCH de-expanding signals at the corresponding time.

这种码分多址通信系统的信号解调装置包含:连续导频产生模块,用于根据输入的DPCCH解扩信号以及导频发射信号,产生DPCCH非导频段发射估计值,并将所述DPCCH非导频段发射估计值与所述DPCCH导频发射信号合并,产生连续导频;平均衰落因子产生模块,用于通过输入的所述连续导频以及DPCCH解扩信号,产生DPCCH各个码元的平均衰落因子;解调信号产生模块,用于通过输入的所述DPCCH各个码元的平均衰落因子,以及对应时刻的DPDCH解扩信号和DPCCH解扩信号,产生DPCCH和DPDCH解调信号。

At first, the existence of extended form of approach to continuous selection for any set valued mapping without any continuity restriction in para-compact metric space is proved ;by the topologically separated mappings , the approximate selection theorem of sub-lower-semi-continuous mapping is established, furthermore , continuous selection problem in H-space is studied. Next, with W-correspondence, an improved variational inequality is obtained ; by the H-KKM mapping ,Ky Fan\'s minimax inequality is generalized to H-space . At last, with H-convexity instead of the linear topological structure, a new version of Browder fixed point theorem is established.Chapter 3 deals with set-valued mapping vector variational inequality and minimax problems.

第二章首先在仿紧的度量空间上对任意的集值映射建立了新的逼近连续选择定理,利用映射的拓扑可分性,在H-空间上建立了次下半连续映射的逼近连续选择定理和一个新的连续选择定理;然后利用W-对应,在H-空间上建立了广义的变分不等式;利用H-KKM映射,在H-空间上建立了广义的KyFan极小极大不等式;最后,利用H-凸性代替拓扑线性结构,在H-空间上建立了一个新型的Browder不动点定理。

objective to investigate the paregoric effects of butorphanol when the errhysis occurs inside the epidural catheter during continuous epidural anesthesia.methods 60 cases of kidney stones received elective surgery.during this surgery they underwent continuous epidural anesthesia and eight cases of them showed the errhysis in the epidural catheter.then epidural injection of butorphanol was given for analgesia and hr,map,spo2 as well as muscle relaxation conditions were monitored before and 5,10,20 min after injection.the conscious and breathing of patients were also monitored.results before and 5,10,20 min after injection of butorphanol,hr and map difference were not statistically significant.the analgesic results were satisfactory.conclusion butorphanol has a definite analgesic effect when the errhysis occurs in epidural catheter during continuous epidural anesthesia.

目的 探讨在连续硬膜外麻醉中,硬膜外导管内渗血时,应用布托啡诺镇痛的效果。方法择期行肾结石手术患者60例,行连续硬膜外麻醉,其中8例硬膜外导管内渗血,均经硬膜外腔注入布托啡诺镇痛,分别监测注入前及注入后5 、10 、20 min,hr、map、spo2及肌肉松驰情况,同时监测患者神志及呼吸情况。结果注射布托啡诺前及注射后5、10、20 min,hr、map差异无统计学意义,镇痛效果满意。结论在连续硬膜外麻醉中硬膜外导管渗血时,注入布托啡诺维持麻醉镇痛效果明确。

High-frequency continuous modulation on the high-power semiconductor laser is required in our ladar system. The theory and driving methods of the semiconductor laser is summarized in this article. Two kinds of driving circuit including linear power amplifier and resonance power amplifier are designed for continuous and quasi continuous modulated laser.

针对研制的无扫描激光雷达系统,需要对大功率半导体激光器进行高频连续调制,本文总结了半导体激光器的原理和驱动方法,并针对连续和准连续调制大功率激光器的特点分别设计了两套驱动电路,包括线性功率放大驱动电路和谐振功率放大驱动电路。

In this paper, with continuous cultivation simulating fermentations in different nutritional conditions, continuous cultivation of Alcaligenes faecalis with glucose and ammonium chloride as a sole limited substrate were carried out respectively, and kinetics and characteristics of continuous cultivation were investigated.

以葡萄糖、氯化铵分别为限制性底物,对粪产碱杆菌进行了连续培养,模拟了粪产碱杆菌在不同的营养条件下的发酵情况,并对连续培养特性和动力学性质进行了分析。

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相关中文对照歌词
Continuous Grace
La Fête Des Mères
The Continuous Life
Non Coupable
Disque D'or
Continuous Thunder
Over & Over
Velvet
On Fait L'taf
Boig Per Tu
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Liapunov—Schmidt method is one of the most important method in the bifurcation theory.

Liapunov—Schmidt方法是分叉理论的最重要方法之一。

Be courteous -- even when people are most discourteous to you .

要有礼貌──即使当別人对你最不礼貌的时候。

I think we have to be very careful in answering these questions, because nothing is really so simple.

我认为,我们在回答这些问题的时候应该非常谨慎,因为事情远没有那么简单。