Some results on C-inverses of a core matrix

2015 ◽  
Vol 46 (3) ◽  
pp. 383-395
Author(s):  
Jacek Mielniczuk
Keyword(s):  
Author(s):  
H. Goodison

This paper explains the reasons for reviewing translator techniques after the success of the coding/sorting trial at Luton. The merits of core matrix, magnetic drum, inductive store, and threaded-core memories are discussed. The reasons for choosing the threaded-core technique for translators are explained. Descriptions are given of the coding desk translator, the sorting machine translator, and the methods of achieving flexibility. Current assessment of the production equipments is given, and future developments, including the use of computers, are suggested.


1956 ◽  
Vol 103 (2S) ◽  
pp. 295-301 ◽  
Author(s):  
A.A. Robinson ◽  
V.L. Newhouse ◽  
M.J. Friedman ◽  
D.G. Bindon ◽  
I.P.V. Carter
Keyword(s):  

1988 ◽  
Vol 8 (3) ◽  
pp. 483-490 ◽  
Author(s):  
Susan Williams

AbstractWe exhibit a transitive sofic system for which the core matrix has negative trace, and hence cannot share the nonzero spectrum of any subshift of finite type cover. We also show that every transitive sofic system has an integral core matrix.


1993 ◽  
Vol 13 (1) ◽  
pp. 213-224 ◽  
Author(s):  
Paul Trow ◽  
Susan Williams

AbstractWe give constraints on the existence of factor maps between sofic shifts. These constraints yield examples of sofic shifts of entropy lognwhich do not factor onto the fulln-shift. We also show that any prime which divides the degree of an endomorphism of a sofic shift must divide the non-leading coefficients of the characteristic polynomial of the core matrix of the shift.


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