scholarly journals A construction of one-dimensional affine flag-transitive linear spaces

2008 ◽  
Vol 14 (2) ◽  
pp. 537-548
Author(s):  
Michael Pauley ◽  
John Bamberg
Keyword(s):  
Linear Spaces ◽  
One Dimensional ◽  
Transitive Linear ◽  
Affine Flag

Finite line-transitive linear spaces: parameters and normal point-partitions

2003 ◽  
Vol 3 (4) ◽  
Author(s):  
A. Delandtsheer ◽  
A. C. Niemeyer ◽  
C. E. Praeger
Keyword(s):  
Linear Spaces ◽  
Finite Line ◽  
Transitive Linear

scholarly journals Irredundant Decomposition of Algebras into One-Dimensional Factors

2016 ◽  
Vol 45 (3/4) ◽  
Author(s):  
Bogdan Staruch
Keyword(s):  
Congruence Lattice ◽  
Subdirect Product ◽  
Star Product ◽  
Special Kind ◽  
Boolean Algebras ◽  
Algebraic Lattice ◽  
Linear Spaces ◽  
One Dimensional ◽  
Irredundant Decomposition ◽  
Decomposition Theorems

We introduce a notion of dimension of an algebraic lattice and, treating such a lattice as the congruence lattice of an algebra, we introduce the dimension of an algebra, too. We define a star-product as a special kind of subdirect product. We obtain the star-decomposition of algebras into one-dimensional factors, which generalizes the known decomposition theorems e.g. for Abelian groups, linear spaces, Boolean algebras.

scholarly journals Finite line-transitive linear spaces: Theory and search strategies

2009 ◽  
Vol 25 (9) ◽  
pp. 1399-1436 ◽  
Author(s):  
Anton Betten ◽  
Anne Delandtsheer ◽  
Maska Law ◽  
Alice C. Niemeyer ◽  
Cheryl E. Praeger ◽  
...  
Keyword(s):  
Search Strategies ◽  
Linear Spaces ◽  
Finite Line ◽  
Transitive Linear

A one-dimensional self-gravitating stellar gas

1966 ◽  
Vol 25 ◽  
pp. 46-48 ◽  
Author(s):  
M. Lecar
Keyword(s):  
Gravitational Field ◽  
Phase Space ◽  
Motion Picture ◽  
Space Distribution ◽  
Two Dimensional ◽  
One Dimensional ◽  
Phase Space Distribution ◽  
Dimensional Phase Space ◽  
The Mean

“Dynamical mixing”, i.e. relaxation of a stellar phase space distribution through interaction with the mean gravitational field, is numerically investigated for a one-dimensional self-gravitating stellar gas. Qualitative results are presented in the form of a motion picture of the flow of phase points (representing homogeneous slabs of stars) in two-dimensional phase space.

Electron-Mirror Microscopic Aspects of Ferroelectric Domains of BaTiO3 And Ca2Sr (C2H5CO2)6

1970 ◽  
Vol 28 ◽  
pp. 478-479
Author(s):  
Teruo Someya ◽  
Jinzo Kobayashi
Keyword(s):  
Surface Layer ◽  
Electric Fields ◽  
Quantitative Study ◽  
Recent Progress ◽  
Ferroelectric Domain ◽  
Resolving Power ◽  
Surface Pattern ◽  
Crystal Surfaces ◽  
One Dimensional ◽  
Ferroelectric Domains

Recent progress in the electron-mirror microscopy (EMM), e.g., an improvement of its resolving power together with an increase of the magnification makes it useful for investigating the ferroelectric domain physics. English has recently observed the domain texture in the surface layer of BaTiO3. The present authors ) have developed a theory by which one can evaluate small one-dimensional electric fields and/or topographic step heights in the crystal surfaces from their EMM pictures. This theory was applied to a quantitative study of the surface pattern of BaTiO3).

Structure and function of neural networks in the retina

1988 ◽  
Vol 46 ◽  
pp. 26-27
Author(s):  
Peter Sterling
Keyword(s):  
Ganglion Cells ◽  
Three Dimensional ◽  
Structure And Function ◽  
Synaptic Connections ◽  
Visual Axis ◽  
One Dimensional ◽  
Cat Retina ◽  
Ultrathin Sections ◽  
And Function ◽  
Insight Into

The synaptic connections in cat retina that link photoreceptors to ganglion cells have been analyzed quantitatively. Our approach has been to prepare serial, ultrathin sections and photograph en montage at low magnification (˜2000X) in the electron microscope. Six series, 100-300 sections long, have been prepared over the last decade. They derive from different cats but always from the same region of retina, about one degree from the center of the visual axis. The material has been analyzed by reconstructing adjacent neurons in each array and then identifying systematically the synaptic connections between arrays. Most reconstructions were done manually by tracing the outlines of processes in successive sections onto acetate sheets aligned on a cartoonist's jig. The tracings were then digitized, stacked by computer, and printed with the hidden lines removed. The results have provided rather than the usual one-dimensional account of pathways, a three-dimensional account of circuits. From this has emerged insight into the functional architecture.

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