On Intersection Invariants of a Complex and its Complementary Space

1936 ◽  
Vol 37 (3) ◽  
pp. 519 ◽  
Author(s):  
I. Gordon
Keyword(s):  
Complementary Space

Self-Formation of the Spatial Planar Object. Topological Approach

2004 ◽  
Vol 97-98 ◽  
pp. 85-90
Author(s):  
Stepas Janušonis
Keyword(s):  
Euclidean Space ◽  
Topological Space ◽  
Anisotropic Medium ◽  
Topological Approach ◽  
Spatial Objects ◽  
General Approximation ◽  
Complementary Space ◽  
Self Formation ◽  
Homogeneous Anisotropic Medium

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.

Chinese Hα Solar Explorer (CHASE) – a complementary space mission to the ASO-S

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

Observation and analysis of extended dislocations in an Al–Pd–Mn icosahedral quasicrystal by transmission electron microscopy

1995 ◽  
Vol 10 (11) ◽  
pp. 2742-2748 ◽  
Author(s):  
Jianglin Feng ◽  
Renhui Wang ◽  
Mingxing Dai
Keyword(s):  
Physical Space ◽  
Stacking Fault ◽  
Icosahedral Quasicrystal ◽  
Burgers Vector ◽  
Partial Dislocations ◽  
Transmission Electron ◽  
Perfect Dislocation ◽  
Complementary Space ◽  
Convergent Beam ◽  
First Time

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.

scholarly journals Caching Complementary Space for Location-Based Services

2006 ◽  
pp. 1020-1038 ◽  
Author(s):  
Ken C. K. Lee ◽  
Wang-Chien Lee ◽  
Baihua Zheng ◽  
Jianliang Xu
Keyword(s):  
Location Based Services ◽  
Complementary Space

scholarly journals Local and 2-local derivations of solvable Leibniz algebras

2020 ◽  
Vol 30 (06) ◽  
pp. 1185-1197
Author(s):  
Shavkat Ayupov ◽  
Abror Khudoyberdiyev ◽  
Bakhtiyor Yusupov
Keyword(s):  
Leibniz Algebra ◽  
Leibniz Algebras ◽  
Local Derivation ◽  
Complementary Space

We show that any local derivation on the solvable Leibniz algebras with model or abelian nilradicals, whose dimension of complementary space is maximal is a derivation. We show that solvable Leibniz algebras with abelian nilradicals, which have [Formula: see text] dimension complementary space, admit local derivations which are not derivations. Moreover, similar problem concerning [Formula: see text]-local derivations of such algebras is investigated and an example of solvable Leibniz algebra is given such that any [Formula: see text]-local derivation on it is a derivation, but which admits local derivations which are not derivations.

Sign in / Sign up

Export Citation Format

Share Document