查询词典 Riemann

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。

The theorem of Lebesgue integral is one of the most important parts in real variable function. About Lebesgue integral,there are different definition modes.

O引言Lebesgue积分是实变函数论的中心论题，L积分取代Riemann积分是大学数学教育改革发展的必然。

The Laplacian on Riemannian manifolds is an essential linear operator, and it is also the main object to be studied of Geometric A...

Riemann流形上的Laplace算子是一个重要的线性算子，也是流形上几何分析研究的主要对象之一。

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。

Firstly,the article theoretically expounds the superiority of Lebesgue Integral ,then through the detailed cases analyzes its superiority shown in the practical application compared to Riemann Integral.

文章首先从理论上阐明勒贝格积分的优越性，然后通过具体实例详细探讨勒贝格积分相对于黎曼积分，在实际应用中体现出的巨大优越性。

After constrcting the perfective space , prove that this space is just the space of lebesgue integratiable function , thus explain that lebesgue integral is the form of the perfective riemann integral

在构造了完备化空间之后，证明了该空间就是勒贝格可积函数空间，从而说明了黎曼积分的完备化形式是勒贝格积分。

The Laplacian on Riemannian manifolds is an essential linear operator, and it is also the main object to be studied of Geometric Analysis on manifolds.

Riemann流形上的Laplace算子是一个重要的线性算子，也是流形上几何分析研究的主要对象之一。

This shows that the Riemann mapping theorem of n-dimensioanl quasiconformal mappings holds in the class of bounded and convex domains in ■~n.

证明n维空间中的有界凸域D能被拟共形映射到n维单位球B~n(0，1)，即D是拟球，从而说明拟共形映射中的黎曼定理在n维空间中的有界凸域类中是成立的。

Riemann's new idea of space proved crucial in Einstein 's general relativity theory and Riemannian geometry , which considers very general spaces in which the notion of length is defined, is a mainstay of modern geometry.

黎曼的新思路的关键空间证明爱因斯坦的广义相对论理论和黎曼几何，其中认为非常笼统的空间中，长度的概念界定，是一个主体的现代几何。

On the other hand, the more important thing is because the urban housing is a kind of heterogeneity products.

另一方面，更重要的是由于城市住房是一种异质性产品。

Climate histogram is the fall that collects place measure calm value, cent serves as cross axle for a few equal interval, the area that the frequency that the value appears according to place is accumulated and becomes will be determined inside each interval, discharge the graph that rise with post, also be called histogram.

气候直方图是将所收集的降水量测定值，分为几个相等的区间作为横轴，并将各区间内所测定值依所出现的次数累积而成的面积，用柱子排起来的图形，也叫做柱状图。