查询词典 kernel of an integral equation

In chapter 2, we consider the isomorphisms of integral table algebras. For integral table algebras with integral table basis B we can consider integral R-algebra RB over a subring R of 〓, the ring of the algebraic integers.

第二章 我们考虑了有理整表代数间的同构问题：对任意整表基为B的整表代数，我们研究了代数整数环〓的一个子环R上的整R-代数RB。

When the program module read the temporary integral table, it updated the integral table, the user condition table, the integral reward data sheet through returns the data of temporary integral table.

实现的系统功能是对用户消费和追加的积分进行更新，并对积分变化进行记录。

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。

By comparing the activity of theα-amylase and the soluble acid invertase in the kernel and the pedicel, the trend of theα-amylase activity in the kernel and the pedicel showed a peak, theα-amylase activity was high in the early stage, it could promoted amylolysis, supply the nutrition for the kernel development; theα-amylase activity was low in the rapid filling stage, it was in favorable to the starch accumulation.

通过比较籽粒和小穗柄中α-淀粉酶和可溶性酸性蔗糖转化酶的活性表明，籽粒和小穗柄中α-淀粉酶活性均呈单峰变化趋势，籽粒发育早期α-淀粉酶活性较高，可以促使淀粉转化，为籽粒的早期的发育提供营养物质；籽粒发育中期为快速灌浆期，淀粉酶活性较低，利于淀粉的积累。

Algorithm application of neural networks.Ⅲ Implementation of neuro-computers. The main contribution of the dissertation can be summarized as follows: 1 Hopf bifurcation of three kind of neural networks are discussed in detail, including type of discrete time delay, type of time delay with weak kernel and strong kernel as well as the proof of existence of bifurcation. Other problems such as asymptotic stability of bifurcation periodic solution, algorithm of determining the bifurcation direction, asymptotic stability and style of periodic solution are also studied. The average time delay is chosen as the bifurcation parameter, phenomena pertinent to system states of the continuous time delay network with strong kernel evolving from stable to oscillating, then back to stable again are observed.

论文的主要创新之处可以归纳如下： 1）针对目前国内外对神经网络的分岔研究较少的情况，论文中详细讨论了带离散时延神经网络、带弱核的连续时延神经网络、带连续分布时延且具有强核的神经网络的Hopf分岔现象，从理论上证明了Hopf分岔的存在性，并研究了分岔周期解的渐近稳定性，得到了确定周期解的渐近稳定性、分岔方向、周期解的渐近形式的算法；用平均时延作为分岔参数，发现带强核的连续时延神经网络中存在着系统的状态由稳定变化到振荡现象，当继续增加平均时延参数时，又从振荡变为稳定这一特殊的动力学现象。

More direct, directer ; most direct, directest

径直的，笔直的

Do you know how to use a chain saw?

你知道如何使用链锯吗？