查询词典 hilbert integral

Based on knowledge base of rough sets theory,knowledge integral sum and knowledge integral are defined.Their propˉerties and the connectionwith Lebesgue integral sum and integral are studied.

基于粗糙集理论的知识库，定义了知识积分和与知识积分，研究了它们自身的性质及与勒贝格积分和、勒贝格积分的关系。

These results show that:(1) the results retrieved from the Abel integral and absolute TEC inversion are consistent on the whole at higher orbits altitude (~800 km), and in good agreement with those measured by ionosondes; the results retrieved from absolute TEC inversion are in better agreement with those obtained from ionosondes than that by the Abel integral inversion at lower orbits attitude (~500 km);(2) the maximal electron density N m from absolute TEC inversion is closer to N mF2 from ionosondes than that from Abel integral inversion, and the method of the former is more rigorous and effective than that of the latter;(3) absolute TEC is more sensitive to cycle slip than Abel integral, but for the two ways significant loss of inversion precision due to cycle slip always exists.

结果表明：（1）在较高轨道高度（约800 km），Abel积分与绝对TEC方法的反演结果基本一致，都与电离层测高仪反演结果符合良好；在较低轨道高度（约500 km），绝对TEC反演精度优于Abel积分反演精度；（2）绝对TEC反演的最大电子密度 N m较Abel积分法获得的结果更接近于电离层测高获得的峰值电子密度 N mF2，绝对TEC反演法更加严密和有效；（3）周跳对绝对TEC反演结果的影响较Abel积分反演结果的影响更为敏感，但无论哪种方法，周跳对反演精度都造成严重损失。

Secondly ,it is the main body of this thesis-research of patterns of integration of modern information technology and analytic geometry .1 put forward three patterns of classroom integration in the directions of three study theories : imparting integral pattern in the direction of behaviorism ,guiding integral pattern in the direction of cognition and construction integral pattern in the direction of constructionism .And then I list relevant examples of classes and the corresponding styles of classes and give concrete explanations according to different integral patterns .

其次在现代信息技术与解析几何的整合的模式研究部分，也是本文的主要部分，提出了在三种学习理论指导下的三种课程整合模式：行为主义学习理论指导下的传授型整合模式，认知主义学习理论指导下的引导型整合模式，建构主义学习理论指导下的建构型整合模式，并对不同的整合模式举出相应的课例和分别适用的课型做出了具体的说明。

Based on this and the relations between integral and integral, integral and Riemann integral are established.

在此基础上讨论了非紧模糊数值函数的积分与积分之间的关系，以及积分与Riemann积分的关系。

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。

Also prove that every bounded linear approximately local Hilbert space representation of a abelian von Neumann algebra is a representation,every bounded linear approximately 2- local Hilbert space representation of a von Neumann algebra is a representation.

同时证明了交换von Neumann代数的有界近似局部表示是表示，每个von Neumann代数的有界近似2—局部表示是表示。

There is a bijection between the set of all the projections on Hilbert space H and the set of all the closed subspaces of Hilbert space H.

我们都知道Hilbert空间上的正交投影和Hilbert空间的闭子空间是一一对应的。

In this paper,at first we transformed the nonlinear elliptic system of 2m first order equations into the complex form, then by use the results on the Riemann-Hilbert problem for nonlinear elliptic complex equation of first order, the method of continuity, the Schauder fixed-point theorem and the Leray-Schauder theorem, we proved that the modified Riemann-Hilbert boundary value problem for the complex system with some conditions is solvable.

本文先将较一般的多个未知函数的一阶椭圆型实方程组化为复方程组，然后讨论这些复方程组在某些条件下的一些边值问题的可解性。这里所考虑的方程组既包含线性的，也包含非线性的，比广义超解析函数所满足的方程组还要广，又本文主要研究较一般的Riemann-Hilbert边值问题，先给出这种边值问题解的先验估计式，然后用参数开拓法及Leray-Schauder定理证明这种边值问题的可解性结果。

Hilbert space and generalized Fourier series in Hilbert space,etc.

Hilbert空间与广义Fourier级数，主要讲授内积空间内积空间中的正交系，投景定理，与广义Fourier级数。

Warden: That's a beautiful dog, but don't bring her again.

那是条漂亮的狗，但是不要再把她带来了。

You get up in the morning – no hangover!

你第二天早上起来的时候—不会宿醉！