查询词典 integrability in the sense of riemann

A geometer like Riemann might almost have foreseen the more important features of the actual world.

一个像黎曼这样的几何学者几乎可以预见到现实世界的更重要的特征。

Mathematician successfully taken the first step for our country, he is the 20th century the great geometer, especially in the Gauss, Riemann, cards and pioneers as the successor.

数学家为我国踏出成功的第一步，他是20 世纪的伟大几何学家，尢在高斯，黎曼，卡当的继承者和开拓者。

Nonlinear Riemann boundary value problems and nonlinear Hilbert boundary value problems will be studied in this paper, because they have been researched seldom.

对于非线性的Riemann边值问题和非线性的Hilbert边值问题研究很少，本文试图在这些方面做一些工作。

Key words: applied mathematics; hyperbolicity; hyperbolic conservation laws; multi-class traffic flow Lighthill-Whitham-Richards model; Riemann invariants

引用格 式：杨建伟，王可，王红利。多等级交通流LWR模型的双曲性和Riemann不变量。中国科技论文在线精品论文，2009，2(1)：25～32。

The zeta function of Euler and Riemann, expressed as an infinite series and a curious product over all primes.

该zeta函数的欧拉和黎曼，表达了作为一个无穷级数和好奇的产品超过所有素数。

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。

Researches reveal that students who suffer from corporal punishment tend to resort to violence in their future life.

研究表明遭受过肉体惩罚的孩子倾向于在他们今后的人生中使用暴力。

Total sugar of sarcocarp and chlorophyll of pericarp increased firstly, and then decreased afterward along with altitude; Titratable acidity, ascorbicacid and anthocyanin of pericarp were increased along with altitude; The content of protein increased firstly and decreased afterward along with altitude; Carotenoid of pericarp were decreased along with altitude.

果肉总糖和果皮叶绿素含量随海拔高度升高先升高后降低；可滴定酸、维生素C和果皮花青苷含量均随海拔升高而升高；蛋白质在1720m处最大，1420m处最小；果皮类胡萝卜素随海拔升高而降低。