scholarly journals Cohomogeneity Two Nonsemisimple Isometric Actions

Author(s):  
Reza Mirzaie ◽  
Marzie Bakhtiari
Keyword(s):  
1980 ◽  
Vol 13 (9) ◽  
pp. 765-775 ◽  
Author(s):  
A.A. Amis ◽  
D. Dowson ◽  
V. Wright

Sensors ◽  
2019 ◽  
Vol 19 (11) ◽  
pp. 2432 ◽  
Author(s):  
Zhen Gang Xiao ◽  
Carlo Menon

Force myography (FMG) is an emerging method to register muscle activity of a limb using force sensors for human–machine interface and movement monitoring applications. Despite its newly gained popularity among researchers, many of its fundamental characteristics remain to be investigated. The aim of this study is to identify the minimum sampling frequency needed for recording upper-limb FMG signals without sacrificing signal integrity. Twelve healthy volunteers participated in an experiment in which they were instructed to perform rapid hand actions with FMG signals being recorded from the wrist and the bulk region of the forearm. The FMG signals were sampled at 1 kHz with a 16-bit resolution data acquisition device. We downsampled the signals with frequencies ranging from 1 Hz to 500 Hz to examine the discrepancies between the original signals and the downsampled ones. Based on the results, we suggest that FMG signals from the forearm and wrist should be collected with minimum sampling frequencies of 54 Hz and 58 Hz for deciphering isometric actions, and 70 Hz and 84 Hz for deciphering dynamic actions. This fundamental work provides insight into minimum requirements for sampling FMG signals such that the data content of such signals is not compromised.


2020 ◽  
Vol 52 (5) ◽  
pp. 1031-1040
Author(s):  
SIDNEY GROSPRÊTRE ◽  
CHARALAMBOS PAPAXANTHIS ◽  
ALAIN MARTIN

2001 ◽  
Vol 130 (3) ◽  
pp. 383-400 ◽  
Author(s):  
BRIAN H. BOWDITCH ◽  
JOHN CRISP

In this paper we consider group actions on generalized treelike structures (termed ‘pretrees’) defined simply in terms of betweenness relations. Using a result of Levitt, we show that if a countable group admits an archimedean action on a median pretree, then it admits an action by isometries on an ℝ-tree. Thus the theory of isometric actions on ℝ-trees may be extended to a more general setting where it merges naturally with the theory of right-orderable groups. This approach has application also to the study of convergence group actions on continua.


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