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Antichains and their application for enumerating ternary logic functions 被引量:1
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作者 WANG GuojunDepartment of Mathematics, Shaanxi Normal University, Xi’an 710062, China 《Chinese Science Bulletin》 SCIE EI CAS 1997年第1期83-84,共2页
MUKAIDONO proposed and systematically investigated the theory of regular ternary logic functions that meets the need of uncertain inferences. The enumeration of ternary logic functions is very complicated and several ... MUKAIDONO proposed and systematically investigated the theory of regular ternary logic functions that meets the need of uncertain inferences. The enumeration of ternary logic functions is very complicated and several results have been obtained only in the case where the number of variables is less than 7. In this letter we offer a new possible way to solve the prob- 展开更多
关键词 antichains and their application for enumerating ternary logic functions
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LYM inequalities for t-antichains
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作者 张箴 夏香根 《Science China Mathematics》 SCIE 1996年第10期1009-1024,共16页
Some LYM-type inequalities are derived for a class of special antichains called t-antichains, which has applications in unidirectional error detection codes.
关键词 antichains LYM INEQUALITIES tEC/AUED codes.
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Representation theory of Dynkin quivers. Three contributions
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作者 Claus Michael RINGEL 《Frontiers of Mathematics in China》 SCIE CSCD 2016年第4期765-814,共50页
The representations of the Dynkin quivers and the corresponding Euclidean quivers are treated in many books. These notes provide three building blocks for dealing with representations of Dynkin (and Euclidean) quive... The representations of the Dynkin quivers and the corresponding Euclidean quivers are treated in many books. These notes provide three building blocks for dealing with representations of Dynkin (and Euclidean) quivers. They should be helpful as part of a direct approach to study representations of quivers, and they shed some new light on properties of Dynkin and Euclidean quivers. 展开更多
关键词 QUIVER Dynkin quiver Euclidean quiver the exceptional vertices of a Dynkin quiver representations of quivers thin representations filtrations of vector spaces conical representations of star quivers Auslander- Reiten quiver thick subcategories perpendicular subcategories one-point extension antichains of a poset antichains of an additive category simplifi- cation hammocks the 2-4-8 property the magic Freudenthal-Tits square
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