Same Distribution Principle Based on Riemann-Integral and its Some Applications

doi:10.7523/j.issn.2095-6134.2005.2.004

›› 2005, Vol. 22 ›› Issue (2): 147-151.DOI: 10.7523/j.issn.2095-6134.2005.2.004

Previous Articles Next Articles

Same Distribution Principle Based on Riemann-Integral and its Some Applications

LI Zhu-Heng^{1, 2}, YAN Yi-Hua², YUAN Lu³, SONG¹

1. School of Science, Xidian University, Xian 710071, China;
2. National Astronomical Observatories, Chinese Academy of Sciences, Beijing 100 012, China;
3. School of Computer and Information Science, Guangxi University for Nationaliti es, Nanning 530006, China

Received:2004-04-26 Revised:2004-08-09 Online:2005-03-15

Abstract

Abstract:

A boundary integral equation representation for the non-constant-αforce-free field in the exterior of the sun can be found in Yan &Sakurai (2000),where a local parameter λinstead of the force-free factor αhas been introduced which should satisfy a proposed condition.The property of boundary integral equation presented by Yan has been discussed in Li, Song &Yan (2004), where a kind of important singularity surface integration can be found.In order to calculate this kind of integration, in this paper,we present a concept of the same distribution to Riemann-integral, build the same distribution principle and give some important applications of it.

Key words: Riemann-integral, same distribution, same distribution principle

CLC Number:

O186

LI Zhu-Heng, YAN Yi-Hua, YUAN Lu, SONG, Guo-Xiang. Same Distribution Principle Based on Riemann-Integral and its Some Applications[J]. , 2005, 22(2): 147-151.

[1]	JIAO Xiaoxiang, XIN Jialin. Construction of totally real surfaces in complex Grassmannians [J]. Journal of University of Chinese Academy of Sciences, 2021, 38(6): 729-734.
[2]	LI Miaomiao, WU Yingyi. Bonnet Surfaces With Constant Gauss Curvature [J]. Journal of University of Chinese Academy of Sciences, 0, (): 108-108.
[3]	DENG Fusheng, JIANG Weiwen, ZHANG Xujun. An iterative construction of Riemann mappings [J]. Journal of University of Chinese Academy of Sciences, 2021, 38(1): 29-31.
[4]	JIAO Xiaoxiang, CUI Hongbin. Conformal minimal immersions of S² into HP⁴ [J]. , 2020, 37(6): 721-727.
[5]	WANG Ke, WU Yingyi. Existence and related properties of non-zero Gaussian curvature Bonnet surfaces [J]. , 2020, 37(1): 6-12.
[6]	GAO Zijuan, JIAO Xiaoxiang. The geometry of conformal minimal surfaces in HP³ [J]. , 2019, 36(3): 299-310.
[7]	ZHANG Wenjuan, CHEN Xiaodong. Construction of conformal minimal surfaces in HP³ [J]. , 2018, 35(4): 438-443.
[8]	GUO Jinyu, WU Yingyi, WEI Zhiqiang. Conformal metrics on Riemann surfaces with cusp singularities [J]. , 2016, 33(6): 721-728.
[9]	WEI Zhiqiang, WU Yingyi, GUO Jinyu. Existence of a class HCMU metric on S² [J]. , 2016, 33(5): 577-583.
[10]	LI Xiaohu, XIAO Liang. Study of SU(2)-orbit in CPⁿ based on root distribution [J]. , 2016, 33(4): 438-442.
[11]	HE Si, XIAO Liang. A method for construction of homogeneous 3-spheres in complex Grassmanians [J]. , 2016, 33(1): 9-15.
[12]	WEI Zhiqiang, WU Yingyi. An existence theorem and energy integral formula of HCMU metrics [J]. , 2016, 33(1): 16-22.
[13]	HAN Bing, WANG Jun. Geometry of three-dimensional SU(2)-orbits in the complex Grassmannians [J]. , 2013, 30(5): 585-590.
[14]	LI Kang, JIAO Xiao-Xiang. Harmonic two-spheres in the complex Grassmann manifold G(2,5) [J]. , 2011, 28(5): 573-582.
[15]	FEI Jie, JIAO Xiao-Xiang. Holomorphic 2-spheres in a complex Grassmann manifold G(2,5) [J]. , 2011, 28(2): 131-140.

Same Distribution Principle Based on Riemann-Integral and its Some Applications

PDF (PC)

Knowledge

Abstract

Cite this article

share this article

References

Related Articles 15

Recommended Articles

Metrics

Comments