查询词典 iterated integral

This paper discusses the integrability of Riemann integral systematically: By analyzing the common characters of a lot of integral calculus, it abstracts the concept of Riemann integral and discusses its integrability of Riemann integral and then gets integrable functions.

摘要本文较为系统地讨论了积分的可积性：通过分析诸多积分概念的共性，抽象定义了积分并详细讨论了其可积性，得出了可积函数类。

This paper discusses the integrability of Riemann's integral theory systematically: By analyzing the common characters of a lot of integral calculus, it abstracts the concept of Riemann integral and discusses its integrability of Riemann's integral theory and then gets integrable functions.

摘要本文较为系统地讨论了积分可积性理论：通过分析诸多积分概念的共性，抽象定义了积分，详细讨论了其可积性理论，得出了可积函数类。

Multiple integrals generalizing the iterated kernels of integral operators are expressed as single integrals in the case of a special representation of the kernel.

下面是我自己翻译的第一段和第二段的部分，翻译不行的话，顺便帮忙修饰下，先谢谢啦上面麻烦大家翻译的这几段都是关于数学方面的的

It applied Kirchhoff expression to FDTD numerical computation of acoustic scattering problems,and iterated near field on the integral surface to far field that was contributed to,which could b.

针对此问题，提出一种新的外推方法，它将柯西霍夫公式应用于FDTD数值计算中，将积分面上每一步的近场都叠加到它有贡献的远场时刻上去，近远场变换可以与FDTD的场分量迭代同步进行，不需要将外推边界上每一时间步的场值都存储下来，减少了存储空间。

The incidence of anxiety and depression in patients with FD was higher than that in healthy volunteers; The average extent of anxiety and depression of FD patients was significantly higher than that of healthy people (p 0.001). 2.The total scores of life events and the scores of negative life events in patients with FD was significantly higher than that of healthy group (p=0.014 and p 0.001), but the favorable life events scores was lower than healthy group's(p=0.001). 3. Eight healthy conceptions in the health-related quality of life of FD patients was significantly lower than that of healthy volunteers (p .001). 4. There was positive correlation among the symptom iterated integral, anxiety evaluation and depression evaluation of the FD patients (p0.001). 5. In the FD patients, there was no significant correlation between the evaluation of symptoms and life events. 6. In the FD patients, there was no significant correlation among symptoms evaluation, energy and body ache, and negative correlation among the other 6 health conceptions (p 0.05). 7. There was significant positive correlation among the total scores of life events、negative life events scores and anxiety evaluation of the FD patients(p.01),and also with depression evaluation(p.05),there was no significant correlation among the favorable life events scores with anxiety and depression evaluation both. 8. There was negative correlation among anxiety evaluation, depression evaluation and 8 health conceptions of the FD patients (p 0.001). 9. There existed negative correlation respectively among the total scores of life events and negative life events scores with 6 health conceptions of the FD patients (p 0.05) and 7 health conceptions of the FD patients (p 0.05), there was no significant correlation among the favorable life events scores and the health-related quality of life of FD patients.

结果：1、FD患者焦虑、抑郁的发生率明显高于健康对照组(p.005)，平均焦虑、抑郁程度高于对照组(p.001)。2、FD患者经历的生活事件总值(p=0.014)和负性生活事件值(p.001)明显高于健康对照组，正性生活事件值低于对照组(p=0.001)。3、FD患者的生活质量在8个健康概念上均明显比健康人差(p.001)。4、FD患者的症状积分与焦虑评分、抑郁评分呈正相关(p.001)。5、FD患者的症状积分与生活事件值均无相关性。6、FD患者症状积分与活力、躯体疼痛之间无明显相关性，与其余6项健康概念均呈负相关(p.05)。7、FD患者的生活事件总值、负性生活事件值与焦虑评分均显著正相关(p.01)，与抑郁评分也均呈正相关(p.05)，正性生活事件值与焦虑和抑郁水平均无相关性。8、FD患者焦虑评分、抑郁评分与8项健康概念均呈负相关(p.001)。9、FD患者生活事件总值和负性生活事件值分别与生活质量8项健康概念中的6项和7项呈负相关(p.05)，正性生活事件值与生活质量无关。

Internet personage tells a reporter, of skyline bleachery roll out, can call catchword at will in bleachery at will especially, catchword content will make a central point, and everybody wants to contend for the first, what will naturally cause integral is fast use up, so skyline should be met in debut later other the way that wins integral, fill value RMB to obtain integral for instance, in current SNS gain difficult situation falls, skyline of this game roll out, it is a very good attempt undoubtedly.

有互联网人士告诉记者，天涯晒场的推出，特别是可以随意在晒场里随意喊口号，口号内容将会成为一个焦点，而且大家都想争第一，势必会造成积分的快速消耗，所以天涯应该会在稍后开通其他获得积分的方式，比如充值人民币获得积分，在当前SNS盈利困难的情况下，天涯这个游戏的推出，无疑是个很好的尝试。

As to its computing methods, this paper synthesizes six kinds, they are: utilizing a general integral method of complex function directly; utilizing Cauchy integral theorem; utilizing Cauchy integral formula; utilizing Cauchy high-level differential coefficient; utilizing Cauchy residue theorem; utilizing the residual of logarithm.

关于周线积分的计算方法，本文综合了六种，它们分别是：直接利用一般的复变函数积分的方法；利用柯西积分定理；利用柯西积分公式；利用柯西高阶导数公式；利用柯西留数定理；利用对数留数。

This paper probes into its application in integral calculus especially--- utilizing contour integral to calculate relational real integral.

本文重点探讨它在积分学当中的应用——利用周线积分计算有关的实积分。

So-called contour integral is an integral whose integral route is contour.

所谓周线积分是指积分路径是围线的积分。

When the second surface integral is calculated and the integral surface has some coordinate plane symmetry, computation can be simplified according to the integral odevity.

在计算第二型曲面积分时，当积分曲面关于某个坐标面对称时，则可根据被积函数的奇偶性进行化简。

Nowadays, most of research are to build a transmutative Petri Nets through adding controlling place sets, controlling arc sets and controlling policy to the basic Petri Nets, while the Controlled Petri Nets could be used to argue many controlling theory problems conveniently and to induce many logically and physically supervisory and solve the Event Feedback Controlling Problems and State Feedback Controlling Problem in DEDS supervisory theory.

目前大多数的研究表现为在变形后的受控Petri网基础上，利用各种方法求得各种逻辑型、结构型控制器，解决DEDS监控理论中的事件反馈控制问题与状态反馈控制问题。

On one hand, there are discussions with the works council and union about extension of short time working up to the end of September.

一方面，有讨论，工程理事会和联盟关于延长工作时间短至9月底。