查询词典 Riemann

This paper is concerned with two typical kinds of initial value problem for the simplest Chapman-Jouguet combustion model: the ignition problem and the generalized Riemann problem.

本文研究了最简Chapman-Jouguet燃烧模型的两类典型初值问题：点火问题和广义Riemann问题。

It is proved that a function is Riemann integrable if and only if it is continuous almost everywhere.

证明了函数可积的充要条件是该函数几乎处处连续。

It expands Lebesgue characteristic of integrable function of Riemann through the definition of gather zero measure and builds up the theory of many integral calculus.

通过定义多维零测度集将可积函数的特征扩展到多维情形，同样统一了多维情形的充分条件，建立了多维情形的可积性理论。

By usingthe relation between the Bergman kernel and the Riemann mapping and Plemly for-mulae,the second boundary integral equation about the Bergman kernel is obtained,moreover,the integral kernel is a continuous,without any singularity,parametized Neu-mann kernel.We discuss the case of some symmetric property,and get correspondingresults.

主要利用Bergman核与Riemann映照之间的关系，推导出Bergman核满足带有参数化Neumann核的第二类边界积分方程，积分核是连续的没有任何奇性，并讨论了具有某种对称性质的情形。

In §1. 2, we gave the definition of the Riemann-Liouville operators of the fractional calculus and the basic properties of these operators. In§1. 3, we introduced the definition of the generalized Mittag- Leffler function E〓 and proved the inverse Laplace transform formula below,〓(1) which was used frequently in this paper.

在§1.2节中，主要介绍了Riemann-Liouville型分数阶微积分算子的基本定义以及主要性质，在§1.3节中则给出了广义Mittag-Leffler函数〓的定义及其基本性质，同时证明了如下Laplace逆变换公式：〓在本文中，公式（1）将被多次引用。

Now by using Dai's exact solution formula and studying the asymptotical behavior controlcondition and using the series expression of the famous Riemann Zeta-function in number theory,after introducing and proving a new representation theory of inverse Laplace transformation wedirectly obtained Chen's solution formulae and their unique existence condition without usingLaplace transformation and〓 inverse formula.

本文从带消发散参数的严格解出发，通过研究渐近行为控制条件，利用数论中著名的Riemann-Zeta函数的级数表示，引入并证明一个逆Laplace变换的新的表示定理，直接导出了陈等发展的级数解，并得到了级数解的存在、唯一性条件。

This paper will also discuss a kind of inverse Riemann boundary value problems for bianalytic functions.

本文也将讨论一类双解析函数的Riemann边值逆问题。

Finally, A class of inverse Riemann boundary value problem for bianalytic functions on the real axis is proposed.

先消去参变未知函数，再采用易于推广的矩阵形式记法，可把该问题转化为两个实轴上的解析函数Riemann边值问题。

The research of bianalytic functions, polyanalytic functions and inverse Riemann boundary value problems is an important question for discussion in recently years.

近年来有关双解析函数、多解析函数以及Riemann边值逆问题的理论研究也是人们关注的重要课题。

Here we discuss the limitations of the Riemann integral and the greater scope offered by the Lebesgue integral.

在这一章里我们讨论黎曼积分的限制以及勒贝格积分提供的更大的可能性。

"Please accept this talisman as a token of our thanks."

请收下这个护身符以表达我们的感谢。

If I have that magic, I will be more acceptable in the society.

如果我拥有那种魔法，我将更加被这个社会所容纳。