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pro vyhledávání: '"Radcliffe, A. G."'
Autor:
Radcliffe, David G.
We prove that there are exactly five sequences, including the triangular numbers, that satisfy the product rule $T(mn) = T(m) T(n) + T(m-1) T(n-1)$ for all $m, n \ge 1$.
Comment: 7 pages, 3 figures
Comment: 7 pages, 3 figures
Externí odkaz:
http://arxiv.org/abs/1606.05398
Autor:
Radcliffe, David G.
We give an elementary proof that the sum of the digits of $2^n$ in base 10 is greater than $\log_4 n$. In particular, the limit of the sum of digits of $2^n$ is infinite.
Comment: 3 pages
Comment: 3 pages
Externí odkaz:
http://arxiv.org/abs/1605.02839
Autor:
Radcliffe, David G.
We introduce the concept of hyperreflection groups, which are a generalization of Coxeter groups. We prove the Deletion and Exchange Conditions for hyperreflection groups, and we discuss special subgroups and fundamental sectors of hyperreflection gr
Externí odkaz:
http://arxiv.org/abs/1008.1084
Publikováno v:
American Journal of Hospice & Palliative Medicine; Dec2023, Vol. 40 Issue 12, p1310-1316, 7p
Autor:
Radcliffe, David G.
Publikováno v:
Algebr. Geom. Topol. 3 (2003) 1079-1088
We show that if a group can be represented as a graph product of finite directly indecomposable groups, then this representation is unique.
Comment: Published by Algebraic and Geometric Topology at http://www.maths.warwick.ac.uk/agt/AGTVol3/agt-
Comment: Published by Algebraic and Geometric Topology at http://www.maths.warwick.ac.uk/agt/AGTVol3/agt-
Externí odkaz:
http://arxiv.org/abs/math/0203170
Autor:
Radcliffe, David G.
If S and S' are two finite sets of Coxeter generators for a right-angled Coxeter group W, then the Coxeter systems (W,S) and (W,S') are equivalent.
Comment: Errors corrected. The main result of this paper has been superseded by math.GR/0203170
Comment: Errors corrected. The main result of this paper has been superseded by math.GR/0203170
Externí odkaz:
http://arxiv.org/abs/math/9901049
Akademický článek
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Autor:
Aitken, R. J., Thompson, M. R., Smith, J. A. E., Radcliffe, A. G., Stamatakis, J. D., Steele, R. J. C.
Publikováno v:
BMJ: British Medical Journal, 1999 Mar . 318(7185), 702-703.
Externí odkaz:
https://www.jstor.org/stable/25183982
Publikováno v:
The British Medical Journal, 1975 Nov 01. 4(5991), 261-262.
Externí odkaz:
https://www.jstor.org/stable/20407365