Volumes of Fundamental Domains of Picard Modular Groups

1998 ◽  
pp. 300-329
Author(s):  
Rolf-Peter Holzapfel
Keyword(s):  
Fundamental Domains ◽  
Modular Groups

Determination of the Ternary Modular Groups

1905 ◽  
Vol 27 (2) ◽  
pp. 189 ◽  
Author(s):  
Leonard Eugene Dickson
Keyword(s):  
Modular Groups

scholarly journals On fundamental domains of arithmetic Fuchsian groups

1999 ◽  
Vol 69 (229) ◽  
pp. 339-350 ◽  
Author(s):  
Stefan Johansson
Keyword(s):  
Fuchsian Groups ◽  
Fundamental Domains

Bruhat–Tits Trees and Modular Groups

2019 ◽  
pp. 307-328
Author(s):  
Anne Broise-Alamichel ◽  
Jouni Parkkonen ◽  
Frédéric Paulin
Keyword(s):  
Modular Groups

scholarly journals Effectiveness of lumbar orthoses in low back pain: Review of the literature and our results

2018 ◽  
Vol 10 (4) ◽  
Author(s):  
Cordelia Schott ◽  
Sonja Zirke ◽  
Jillian Marie Schmelzle ◽  
Christel Kaiser ◽  
Lluis Aguilar I Fernández
Keyword(s):  
Low Back Pain ◽  
Back Pain ◽  
Randomized Study ◽  
Cost Of Care ◽  
Modular System ◽  
Low Back ◽  
Modular Systems ◽  
Frequency Of Use ◽  
Modular Groups ◽  
The Cost

Back pain and diseases of the spine are today a health disorder of outstanding epidemiological, medical, and health economic importance. The cost of care for patients with lumbosciatic complaints are steadily increasing. Accordingly, the guidelines and treatments are constantly renewed. One concept is the orthotic care. In the following we want to give an overview of the literature and the effectiveness of lumbar orthoses in low back pain supplemented by our own data. A prospective randomized study with 230 patients, divided into three groups, each with two subgroups. Three Orthoses by the TIGGES-Zours GmbH were prescribed; a demountable two-step lumbar orthosis, three-step bridging orthosis and a four-step flexion orthosis modular system. Each were compared to the nonmodular equivalent. All six groups showed improvement in pain intensity and functional capacity at 6 and 12 weeks. The modular groups were found to have improvement in the frequency of use. The subjective effectiveness and sensitivity for the modular and non-modular groups was assessed as being good. In the literature, there are no clear guidelines for an orthotic supply. The studies do not seem to be meaningful and universal due to the difficult ascertainability of pain. There is a need for further research here. Nevertheless, the authors of this review are of the opinion that the implementation of trunk orthoses is void of side effects and beneficial to patients. The modular systems seem to have an advantage as well as higher patient satisfaction.

scholarly journals Moduli and modular groups of a class of Calabi-Yau $n$-dimensional manifolds, $n\geq 3$

2000 ◽  
Vol 54 (1) ◽  
pp. 1-12 ◽  
Author(s):  
Hao Chen ◽  
Stephen S.-T. Yau
Keyword(s):  
Modular Groups

scholarly journals Polyominoes and Polyiamonds as Fundamental Domains of Isohedral Tilings with Rotational Symmetry

Symmetry ◽  
2011 ◽  
Vol 3 (4) ◽  
pp. 828-851 ◽  
Author(s):  
Hiroshi Fukuda ◽  
Chiaki Kanomata ◽  
Nobuaki Mutoh ◽  
Gisaku Nakamura ◽  
Doris Schattschneider
Keyword(s):  
Rotational Symmetry ◽  
Fundamental Domains ◽  
Isohedral Tilings
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