scholarly journals Complementary Space for Enhanced Uncertainty and Dynamics Visualization

Author(s):  
Chandrajit Bajaj ◽  
Andrew Gillette ◽  
Samrat Goswami ◽  
Bong June Kwon ◽  
Jose Rivera
Keyword(s):  
2004 ◽  
Vol 97-98 ◽  
pp. 85-90
Author(s):  
Stepas Janušonis

Eight-dimensional topological space providing an object evolution in time, including causes of evolution is presented. Part of Euclidean space separated by any close surface from complementary space, where any Euclidean point of space is juxtaposed with parameter, is being felt as an object. Coplanar approximation of flat planar devices is based on the flat, homogeneous, isotropic planar object and chaotic medium. The new, more general approximation of the topological space by equidistant surfaces, suitable for spatial planar objects, is presented. Selfformation of spatial objects (homogeneous, non-homogeneous, anisotropic), medium (chaotic, chaotic oriented, homogeneous oriented, structural) based on non-homeomorpheous mapping in peculiar points and evolution irreversibility, is discussed.


2019 ◽  
Vol 19 (11) ◽  
pp. 165 ◽  
Author(s):  
Chuan Li ◽  
Cheng Fang ◽  
Zhen Li ◽  
Ming-De Ding ◽  
Peng-Fei Chen ◽  
...  

1995 ◽  
Vol 10 (11) ◽  
pp. 2742-2748 ◽  
Author(s):  
Jianglin Feng ◽  
Renhui Wang ◽  
Mingxing Dai

Extended dislocations including partial dislocations and a stacking fault in Al70Pd20Mn10 icosahedral quasicrystal have been observed and identified for the first time. The diffraction contrast and defocus convergent-beam electron diffraction experiments show that the dissociation of the extended dislocations is of the form 1/2<1 −2 0 0 −2 1> → 1/4<1 −3 1 −1 −1 1>+ 1/4<1 −1 −1 1 −xs3 1> with a stacking fault between these two partial dislocations. For the partial dislocations, the Burgers vector components in physical space b¶part are along different fivefold axes with a magnitude of 0.17 nm, which is about one seventh of that in complementary space. For the perfect dislocation, the Burgers vector component in physical subspace b¶perf is along a twofold axis with a magnitude of 0.183 nm, which is about an eleventh of that in complementary space.


Author(s):  
Ken C. K. Lee ◽  
Wang-Chien Lee ◽  
Baihua Zheng ◽  
Jianliang Xu

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