scholarly journals Optimize wireless networks for energy saving by distributed computation of Čech complex

2017 ◽  
Author(s):  
Ngoc-Khuyen Le ◽  
Anais Vergne ◽  
Philippe Martins ◽  
Laurent Decreusefond
Keyword(s):  
Wireless Networks ◽  
Energy Saving ◽  
Distributed Computation ◽  
Čech Complex ◽  
Cech Complex

scholarly journals Proregular sequences, local cohomology, and completion

2003 ◽  
Vol 92 (2) ◽  
pp. 161 ◽  
Author(s):  
Peter Schenzel
Keyword(s):  
Noetherian Ring ◽  
Local Cohomology ◽  
Čech Complex ◽  
Regular Sequences ◽  
Local Cohomology Modules ◽  
Derived Functors ◽  
Adic Completion ◽  
Cech Complex ◽  
Cohomology Modules ◽  
The Ideal

As a certain generalization of regular sequences there is an investigation of weakly proregular sequences. Let $M$ denote an arbitrary $R$-module. As the main result it is shown that a system of elements $\underline x$ with bounded torsion is a weakly proregular sequence if and only if the cohomology of the Čech complex $\check C_{\underline x} \otimes M$ is naturally isomorphic to the local cohomology modules $H_{\mathfrak a}^i(M)$ and if and only if the homology of the co-Čech complex $\mathrm{RHom} (\check C_{\underline x}, M)$ is naturally isomorphic to $\mathrm{L}_i \Lambda^{\mathfrak a}(M),$ the left derived functors of the $\mathfrak a$-adic completion, where $\mathfrak a$ denotes the ideal generated by the elements $\underline x$. This extends results known in the case of $R$ a Noetherian ring, where any system of elements forms a weakly proregular sequence of bounded torsion. Moreover, these statements correct results previously known in the literature for proregular sequences.

Characteristic Pontryagin cycles in a Cech complex

1979 ◽  
Vol 13 (2) ◽  
pp. 80-86
Author(s):  
A. M. Gabrielov
Keyword(s):  
Čech Complex ◽  
Cech Complex

Energy-saving coordinated napping (CoNap) for wireless networks

2012 ◽  
Author(s):  
Koichi Adachi ◽  
Jingon Joung ◽  
Sumei Sun ◽  
Peng Hui Tan
Keyword(s):  
Wireless Networks ◽  
Energy Saving

Energy saving and capacity improvement potential of power control in multi-hop wireless networks

2003 ◽  
Vol 41 (3) ◽  
pp. 313-330 ◽  
Author(s):  
Jeffrey Monks ◽  
Jean-Pierre Ebert ◽  
Wen-Mei W Hwu ◽  
Adam Wolisz
Keyword(s):  
Wireless Networks ◽  
Power Control ◽  
Energy Saving ◽  
Improvement Potential ◽  
Capacity Improvement
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