Array nonrecursiveness and relative recursive enumerability

2012 ◽  
Vol 77 (1) ◽  
pp. 21-32 ◽  
Author(s):  
Mingzhong Cai
Keyword(s):  
Minimal Cover ◽  
Recursive Enumerability ◽  
Interesting Corollary

AbstractIn this paper we prove that a degree a is array nonrecursive (ANR) if and only if every degree b ≥ a is r.e. in and strictly above another degree (RRE). This result will answer some questions in [ASDWY]. We also deduce an interesting corollary that every n-REA degree has a strong minimal cover if and only if it is array recursive.

A Precise Link Loss Inference Algorithm with Minimal Cover Set

2013 ◽  
Vol 34 (12) ◽  
pp. 2905-2912
Author(s):  
Jing-li Yang ◽  
Yong-hui Xu ◽  
Shou-da Jiang
Keyword(s):  
Inference Algorithm ◽  
Minimal Cover ◽  
Link Loss

On Fanfiction and the Amateur/ Professional Divide

2019 ◽  
pp. 44-54
Author(s):  
Shelley Ingram
Keyword(s):  
Proper Place ◽  
Artistic Production ◽  
Folklore Studies ◽  
Interesting Corollary

One of the primary criticisms of fandom and fanfiction writers is that they are trespassing on grounds best left preserved for the “professionals.” Their very existence threatens the boundaries between expert and amateur, between trained artists and “usurpers.” This chapter surveys the debates surrounding the proper place of fanfiction and other fan-produced work in the hierarchy of both folklore studies and artistic production in general, arguing that such debates are an interesting corollary to discussions about fraudulent folklore and the amateur folklorist.

On the Set of Zero Divisors of a Topological Ring

1967 ◽  
Vol 10 (4) ◽  
pp. 595-596 ◽  
Author(s):  
Kwangil Koh
Keyword(s):  
Finite Number ◽  
Compact Subset ◽  
Finite Ring ◽  
Left Zero ◽  
Topological Ring ◽  
Compact Ring ◽  
Zero Divisors ◽  
Interesting Corollary

Let R be a topological (Hausdorff) ring such that for each a ∊ R, aR and Ra are closed subsets of R. We will prove that if the set of non - trivial right (left) zero divisors of R is a non-empty set and the set of all right (left) zero divisors of R is a compact subset of R, then R is a compact ring. This theorem has an interesting corollary. Namely, if R is a discrete ring with a finite number of non - trivial left or right zero divisors then R is a finite ring (Refer [1]).

scholarly journals Spaces having no large dyadic subspace

1970 ◽  
Vol 2 (2) ◽  
pp. 261-265
Author(s):  
Jason Gait
Keyword(s):  
Metric Spaces ◽  
Topological Groups ◽  
Compact Metric Spaces ◽  
Interesting Corollary ◽  
Discrete Spaces ◽  
Continuous Images

Gillman-Henriksen have defined a class of spaces, containing the discrete spaces and their Stone-Čech compactifications, called F'-spaces. The dyadic spaces are the continuous images of products of finite discrete spaces – a class which contains the compact metric spaces and all compact topological groups. In this paper it is shown that F'-spaces have no infinite dyadic sutspaces and, almost always, no dyadic compactifications. An interesting corollary is that if βX \ X is dyadic, then X is pseudocompact.

scholarly journals Minimal cover-automata for finite languages

2001 ◽  
Vol 267 (1-2) ◽  
pp. 3-16 ◽  
Author(s):  
C. Câmpeanu ◽  
N. Sântean ◽  
S. Yu
Keyword(s):  
Minimal Cover

scholarly journals Iterated relative recursive enumerability

1994 ◽  
Vol 33 (5) ◽  
pp. 321-346 ◽  
Author(s):  
Peter A. Cholak ◽  
Peter G. Hinman
Keyword(s):  
Recursive Enumerability

scholarly journals Multiple criteria ranking and choice with all compatible minimal cover sets of decision rules

2015 ◽  
Vol 89 ◽  
pp. 569-583 ◽  
Author(s):  
Miłosz Kadziński ◽  
Roman Słowiński ◽  
Salvatore Greco
Keyword(s):  
Decision Rules ◽  
Multiple Criteria ◽  
Minimal Cover ◽  
Criteria Ranking
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