黎曼函数

From getting fire by drilling the wood to nuclear power, from Euclidean Space to Riemann Space, from description of the macroscopic and low-speeded movement in Classical Mechanics to the statistical wave functions description of microscopic and high-speeded movement in Quantum Mechanics, the innovation progress of Physics is just as always.

从钻木取火到核力发电，从欧几里德空间到黎曼空间，从经典力学对宏观低速物体的直观认识到量子力学对微观客体的波函数统计描述，物理学一如既往地在不断创新当中。

Based on the Riemannian geometry theory, a novel conformal transformation was proposed and the kernel function was modified by the transformation in a data-dependent way.

以黎曼几何为理论依据，提出了一种新的保角变换，对核函数进行数据依赖性改进，进一步提高分类器泛化能力。

The paper states the distinctions between Riemann integral and Lebesgue integral from the aspects of the definition of integral,the continuity of integrable function,the additivity of integral,integral limitation theorems and Newton-Leibnitz formula.

从积分的定义，可积函数的连续性，积分的可加性，积分极限定理，牛顿-莱布尼兹公式五个方面阐述了黎曼积分与勒贝格积分的区别。

As for the feature of the object function in (P2), the decision variable searched in traditional Euclidean space raise up with some difficulty computations and optimization methods are promote to running in curve Riemannian space to get optimal solution.

由于盲分离最优化问题的目标函数的特点，在欧氏空间中对决策变量进行寻优求解带来诸多复杂因素，寻优算法在弯曲的黎曼空间中动态运行是解决这些问题的一条可行途径。

In this paper, we give a generic condition of differentiable function s on noncompact complete Rie- mannian manifold.

本文给出了比文［4］更好的非紧完备黎曼流形上可微函数的最大值与最小值原理的一般性条件。

In this paper, the author estimated the module of quasiconformal mapping in curved fan, by the expression of local maximal dilatation function of quasiconformal mapping, Riemann′ s existence theorem and extremal length method, the author obtained a result of moduler deviation on curved fan.

本文对曲边扇形内的拟共形映照的模进行估计。借助拟共形映照的局部最大伸张函数来表达，利用黎曼存在定理和极值长度方法，得到关于曲边扇形的一个模偏差定理。

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。

Say from the angle of mathematics, This software mainly plays to show the integral calculus of Bernhard Riema , together two heavy integral calculuses of a function.

从数学的角度说，本软件主要将演示黎曼积分、齐次函数的二重积分。

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。

Congratulations your paper is very BRIGHT and even encompasses all the precedings ones by its clarity about the functional equation, the definition of the unctions, etc.

祝贺，你的论文（陈一文注：指蒋春暄最新的论文《Riemann paper (1859) is false》，即《黎曼的论文（1859）是错误的》）非常聪明，在函数方程式、函数定义方面的清晰性方面涵盖了所有以前的论文。

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。