拟连续的

Let μ be a smooth measure with a quasi regular Dirichlet form, A μ be its non negative additive functional,and U α A μ be the α Potential operator of A μ.

设μ是拟正则狄氏型的光滑测度，Aμ是其对应的非负连续可加泛函，UαAμ是Aμ的α位势算子，本文证明了测度μUαAμ关于μ的绝对连续性，并以R－N导数dμUαAμdμ刻划了μ具有有限能量积分的条件。

Through simple Gaussian line fits, we found not only obvious Fe K line variability with no significant difference in the X-ray continuum flux between two ASCA observations which were separated by～440 days, but also rapid variabilities of Fe K line on time scales～10〓s within the second observation.

使用简单的高斯线拟合我们发现，在间隔440天左右的两次ASCA观测之间，NGC 4051的铁Kα荧光线轮廓和强度有着明显变化，而与此同时X射线连续谱流量保持不变；不仅如此，我们发现在第二次ASCA的观测过程中，NGC 4051的铁Kα荧光线有着10〓s尺度上的快速变化。

The approach first chooses three continuous data points in turn when the data points in time series are scanned. According to the angle formed by these three data and the extreme value in monotone sequence, the method then records key points reflecting the sequences changing feature.

该算法在扫描数据的过程中利用单调序列中三个连续数据形成的夹角和非单调序列中的极值点，从序列中挑选反映趋势变化的关键点，实现时间序列的线性拟合。

At the same time,it designed the project of construction supervision and measure aimed at the strengthening bridge by external presttessing,through the contrast between the result in theory and fact,we can see that it is feasible to use predigestion's computing based on elasticity to analyse continuous rigid frame briges reinforced by external presttessing ,and it can ignore the effect of the second stress. So, it can be capable of the analyses in the strengthening bridge by external presttessing using the method of controlling by flexibility and stress to set up the model of scathe,and,the method of external presttessing can ensure stress reserve of the main beam, to reduce effectively PrinciPal tensile stress, to renew line state of bridge structure and gradient. The effect of strengthenment was obvious and the reinforcement scheme was successful.

同时，进行了该桥体外预应力加固监测方案设计，并通过理论计算结果与实际监测成果的比较，验证了在施工阶段及正常使用阶段，大跨连续刚构体系的体外预应力加固计算中忽略二次应力增量的影响，采用弹性分析方法进行简化计算的可行性，进而说明采用双控拟合方法建立的结构损伤模型能够满足体外预应力加固计算的要求，并且体外预应力加固法能够显著增大主梁的应力储备、有效地减少了主拉应力、恢复了桥面线形和坡度，加固效果明显，加固方式成功。

Since the extended value functions are merely semicontinuous, an extension of viscosity solutions to semicontinuous functions is needed.

因此，以往关于拟变分不等式的粘性解的讨论中所使用的方法也就不再适用，需要利用新的方法将粘性解延展到半连续函数中。

Viability Theory is applied to the optimal control problem for this class of hybrid dynamic time varying systems in this dissertation for the first time. And the statement about a characterization of the extended value functions as the unique lower semicontinuous solution to a Bensoussan-Lions type QVI is proved.

本文首次将生存理论应用到这一复杂系统的最优控制问题中来，得到了最优控制问题中的值函数是一类拟变分不等式唯一的下半连续解的重要结论。

At first, two optimal control problems for hybrid dynamic time-varying systems with free-terminal and terminal constraint are considered, value functions of these two optimal problems are respectively proved to be the unique viscosity solution and the unique lower semicontinuous solution to a type of Quasi-Variational Inequality and the relationship between them is addressed.

本文首先分别考虑了有限时间混合动态时变系统在终端自由和终端约束两种情形下的最优控制问题，得到了最优控制问题的解在这两种情形下分别是一类拟变分不等式的唯一的粘性解和唯一的下半连续解的结论，并给出了它们之间的关系。

Viability Theory is applied to the optimal control problem for switching time varying systems in this dissertation for the first time. The statement about a characterization of the extended value functions as the unique lower semicontinuous solution to a Bensoussan-Lions type QVI is proved.

本文首次将生存理论这一数学工具应用到有限时间切换时变系统的最优控制问题中，得到了最优控制问题的值函数是一类拟变分不等式唯一的下半连续解的重要结论。

Nowadays the researches of frequency distribution of data are almost limited to normal distribution, while other distributions are seldom studied. Many frequency distributions of data are not normal. This kinds of frequency distribution of data widely exist. Unimodal frequency distribution of data often occurs.

现在绝大多数关于频数资料分布的研究都是基于正态分布的，而对其他类型的分布研究得比较少，实际上频数分布在许多情况下并非呈现正态分布，分布的形态丰富多彩，很多资料都是呈现单峰分布，本研究就是利用数学上常见的八种连续型变量的分布类型去拟合单峰频数资料。

In this project, we have deduced the joint inversion model of geodetic data, seismic data and geological data considering about their weight ratio; presented Bayes-iterative search inversion algorithm which improved on the traditional Bayes algorithm and strengthen the stability of inversion solutions; enriched and developed geodetic joint inversion theory and method of tectonic stress field; joint with geodetic, seismic, geological and geophysical data, we have inverted the temporal and spatial variation characteristics of crustal deformation of active tectonic blocks in North China and the present-day cruatal movement and strain-stress field by FEM, DDA and bi-cubic spline function fit method; especial for the crustal deformation result in some typical areas, we have presented geodynamical interpretation and done some seismic dangerous estimations.

大地测量联合反演构造应力场属于大地测量与地球动力学和地震学的交叉研究领域，主要内容是研究用大地测量地壳运动监测数据定量研究地壳运动和变形的动力学问题及分析预测地震，本项目推导了兼顾权比确定的大地测量、地震和地质三类数据的联合反演模型；提出贝叶斯-轮回搜索反演算法，改进传统的贝叶斯方法，改善反演解的稳定性；丰富、发展了大地测量反演构造应力场理论及方法；联合大地测量、地震、地质、地球物理数据采用有限单元法、块体不连续变形分析法和双三次样条函数拟合方法反演分析了华北地区活动地块运动时空变化特征以及中国大陆现今地壳运动与应变-应力场，对典型地区地表形变结果进行地球动力学解释并进行地震危险性估计。

In the negative and interrogative forms, of course, this is identical to the non-emphatic forms.

。但是，在否定句或疑问句里，这种带有"do"的方法表达的效果却没有什么强调的意思。

Go down on one's knees;kneel down

屈膝跪下。。。下跪祈祷