Clusters with multiplicities in R2

被引：7
|
作者：
Morgan, F [1 ]
机构：
[1] Williams Coll, Dept Math & Stat, Williamstown, MA 01267 USA
来源：
PACIFIC JOURNAL OF MATHEMATICS | 2005年 / 221卷 / 01期
关键词：
clusters with multiplicities; soap bubbles; immiscible fluids; paired calibrations; flat chains with coefficients in a normed group;
D O I：
10.2140/pjm.2005.221.123
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Perimeter-minimizing planar double soap bubbles in which regions are allowed to overlap with multiplicities meet in fours, fives, and sixes as well as threes. We further provide certain generalizations to immiscible fluids and higher dimensions, and an associated theory of calibrations. We work in the category of flat chains with coefficients in a normed group.
引用
下载
收藏
页码：123 / 146
页数：24
相关论文
共 50 条
  • [21] Evaluation of renal oxygenation change under the influence of carbogen breathing using a dynamic R2, R2 and R2* quantification approach
    Wang, Chengyan
    Zhao, Kai
    Zhang, Rui
    Jiang, Li
    Wang, Rui
    Zhang, Xiaodong
    Wang, He
    Jin, Lixin
    Zhang, Jue
    Wang, Xiaoying
    Fang, Jing
    NMR IN BIOMEDICINE, 2016, 29 (11) : 1601 - 1607
  • [22] Smooth orthonormal basis for L2 (R2) using smooth projections on L2(R2) associated with rectangles in R2
    Murugan, S. Pitchai
    Youvaraj, G. P.
    JOURNAL OF ANALYSIS, 2023, 31 (02): : 1057 - 1079
  • [23] R2 and R2* are equally effective in evaluating chronic response to iron chelation
    Wood, John C.
    Zhang, Pinggao
    Rienhoff, Hugh
    Abi-Saab, Walid
    Neufeld, Ellis
    AMERICAN JOURNAL OF HEMATOLOGY, 2014, 89 (05) : 505 - 508
  • [24] 胃远端部癌的手术(R2和R2~+)
    冯懿正
    马志敏
    浙江医学, 1986, (05) : 11 - 12
  • [25] GESFIDE-PROPELLER Approach for Simultaneous R2 and R2* Measurements in the Abdomen
    Jin, Ning
    Guo, Yang
    Zhang, Zhuoli
    Zhang, Longjiang
    Lu, Guangming
    Larson, Andrew C.
    MAGNETIC RESONANCE IMAGING, 2013, 31 (10) : 1760 - 1765
  • [26] R2 and R2*Are Equally Effective In Evaluating Chronic Response To Iron Chelation
    Wood, John C.
    Zhang, Pinggao
    Rienhoff, Hugh Y., Jr.
    Abi-Saab, Walid
    Neufeld, Ellis J.
    BLOOD, 2013, 122 (21)
  • [27] On fractal percolation in R2
    White, DG
    STATISTICS & PROBABILITY LETTERS, 1999, 45 (02) : 187 - 190
  • [28] On the Properties of the R2 Indicator
    Brockhoff, Dimo
    Wagner, Tobias
    Trautmann, Heike
    PROCEEDINGS OF THE FOURTEENTH INTERNATIONAL CONFERENCE ON GENETIC AND EVOLUTIONARY COMPUTATION CONFERENCE, 2012, : 465 - 472
  • [29] R2 theory of gravity
    Payandeh, Farrin
    Fathi, Mohsen
    6TH INTERNATIONAL WORKSHOP DICE2012 SPACETIME - MATTER - QUANTUM MECHANICS: FROM THE PLANCK SCALE TO EMERGENT PHENOMENA, 2013, 442
  • [30] Lower Porosity on R2
    Kowalczyk, Stanislaw
    Turowska, Malgorzata
    SYMMETRY-BASEL, 2021, 13 (09):
12345