Homeomorphisms Between the Circular Disc and the Square

Author(s):  
Chamberlain Fong
Keyword(s):  
Author(s):  
Hakan F. Oztop ◽  
Yasin Varol ◽  
Ahmet Koca ◽  
Mujdat Firat ◽  
Betul Turan ◽  
...  

2001 ◽  
Vol 18 (2) ◽  
pp. 185-187
Author(s):  
Baohua Sun ◽  
Fushun Zhang ◽  
Qizhong Liu

2013 ◽  
Vol 50 (18) ◽  
pp. 2772-2780 ◽  
Author(s):  
A.R. Hajimohammadi ◽  
A. Khojasteh ◽  
M. Rahimian ◽  
R.Y.S. Pak

Author(s):  
J. C. Cooke

SynopsisThe two basic problems solved here are (1) a disc charged to a uniform potential placed between two earthed planes parallel to its plane, each a small distance h from the disc, (2) the space filled with viscous fluid and the disc slowly rotating uniformly about its axis with the planes held at rest. The total charge or turning moment are calculated as series in powers of h, giving four terms in each case. An approximate method devised by Maxwell [5] is shown to have three terms correct in both cases.


A thin circular disc suspended by a quartz fibre tends to set itself broadside on to the direction of the propagation of incident sound waves, and its use in combination with resonators is well known as a means of measuring relative intensities of acoustic radiation fields. In a progressive or stationary wave in which the velocity amplitude is │ξ│, the average couple on a circular disc of radius a is usually given by the well-known formula L͞ = - ⅔ρ 0 a 3 │ξ│ 2 sin 2α, (1) where ρ 0 is the density of the medium and α is the angle between the direction of propagation of the wave-front and the normal to the disc, while the negative sign indicates that the couple tends to diminish α.


1955 ◽  
Vol 92 (1) ◽  
pp. 53-62 ◽  
Author(s):  
W. O. Williamson

AbstractDeformation of plastic kaolinite-illite clay caused alignment of authigenic prisms of rutile and tourmaline on surfaces produced by parallelism of the basal pinacoids of the clay-minerals. An a–lineation appeared in the outer layers of an extruded cylinder but a b–lineation in those of a cylinder formed by rolling. A Wineation occurred at the periphery of a circular disc made by spreading. Localized tensional failures, cognate with ac joints, accompanied the b–lineations which were in directions of elongation. The orienting movements were thought to occur in the water-films separating the clay-flakes, but the mechanisms which produce a– and b–lineations are presumably identical. Thus it can be argued that the a–lineation also follows a direction of elongation.


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