A new insight into the ancient Josephus problem

被引：0
|
作者：
Gorowski, Jan [1 ]
Lomnicki, Adam [1 ]
机构：
[1] Pedag Univ Cracow, Inst Math, Ul Podchorazych 2, PL-30084 Krakow, Poland
来源：
UTILITAS MATHEMATICA | 2017年 / 105卷
关键词：
D O I：
暂无
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The old Josephus problem concerning elimination of every third element is considered. It is proved that the sequence (J(n, 3)) may be obtained by "gluing" some finite arithmetic sequences with the difference 3. This is an extension of the known similar result for the sequence (J(n, 2)).
引用
收藏
页码：343 / 351
页数：9
相关论文
共 50 条
  • [31] Halitosis: new insight into a millennial old problem
    Salvatore Corrao
    Internal and Emergency Medicine, 2011, 6 : 291 - 292
  • [32] Renormalizing gravity: A new insight into an old problem
    Das, Saurya
    Faizal, Mir
    Vagenas, Elias C.
    INTERNATIONAL JOURNAL OF MODERN PHYSICS D, 2018, 27 (14):
  • [33] Halitosis: new insight into a millennial old problem
    Corrao, Salvatore
    INTERNAL AND EMERGENCY MEDICINE, 2011, 6 (04) : 291 - 292
  • [34] Uterine fibroids: a new insight into an old problem
    Markowska, A.
    Bednarek, W.
    Jach, R.
    Czekala, A.
    Markowska, J.
    EUROPEAN JOURNAL OF GYNAECOLOGICAL ONCOLOGY, 2019, 40 (06) : 915 - 918
  • [35] Intradialytic hypotension: A new insight to an old problem
    Hentich, William L.
    AMERICAN JOURNAL OF KIDNEY DISEASES, 2008, 52 (02) : 209 - 210
  • [36] A new insight into Serre's reduction problem
    Cluzeau, Thomas
    Quadrat, Alban
    LINEAR ALGEBRA AND ITS APPLICATIONS, 2015, 483 : 40 - 100
  • [37] GOITER AND PREGNANCY - A NEW INSIGHT INTO AN OLD PROBLEM
    GLINOER, D
    LEMONE, M
    THYROID, 1992, 2 (01) : 65 - 70
  • [38] ANCIENT AND MODERN IDENTITY CRISIS - FEUCHTWANGER,L JOSEPHUS TRILOGY
    RAPHAEL, ML
    JUDAISM, 1972, 21 (84) : 409 - 414
  • [39] A Comparative Study on the Algorithms for a Generalized Josephus Problem
    Wang, Lei
    Wang, Xiaodong
    APPLIED MATHEMATICS & INFORMATION SCIENCES, 2013, 7 (04): : 1451 - 1457
  • [40] Beyond insecticides: new thinking on an ancient problem
    Elizabeth A. McGraw
    Scott L. O'Neill
    Nature Reviews Microbiology, 2013, 11 : 181 - 193
12345