منابع مشابه
Towards Universal Multilingual Knowledge Bases
Lexical, ontological, as well as encyclopedic knowledge is increasingly being encoded in machine-readable form. This paper deals with knowledge representation in multilingual settings. It begins by proposing a generic graph-based knowledge base framework, and then, in three case studies, explains how preexisting knowledge can be cast into this framework. The first case study involves enriching ...
متن کاملGraver Bases and Universal Gröbner Bases for Linear Codes
Linear codes over any finite field can be associated to binomial ideals. Focussing on two specific instances, called the code ideal and the generalized code ideal, we present how these binomial ideals can be computed from toric ideals by substituting some variables. Drawing on this result we further show how their Graver bases as well as their universal Gröbner bases can be computed.
متن کاملUniversal Expansions in Negative and Complex Bases
Expansions in noninteger positive bases have been intensively investigated since the pioneering works of Rényi (1957) and Parry (1960). The discovery of surprising unique expansions in certain noninteger bases by Erdős, Horváth and Joó (1991) was followed by many studies aiming to clarify the topological and combinatorial nature of the sets of these bases. In the present work we extend some of ...
متن کاملUniversal Gröbner Bases in Orlik-solomon Algebras
, the Z-algebra OS(M) is isomorphic to the cohomology Z-algebra of the manifold M= C \ ⋃n i=1 Ker(θi). For every term order of the monoids of E, we construct the corresponding reduced Gröbner basis of the Orlik-Solomon ideal I(M). We prove that the set of circuit boundaries is a universal Gröbner basis of I(M). Every ordering of the elements of M determines a canonical basis of OS(M) (termed in...
متن کاملUniversal Measuring Boxes with Triangular Bases
Measuring cups are everyday instruments used to measure the amount of liquid required for many common household tasks such as cooking. A measuring cup usually has gradations marked on its sides. In this paper we study measuring boxes without gradations which can nevertheless measure any integral amount, say liters, of liquid up to their full capacity. These boxes will be called universal measur...
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ژورنال
عنوان ژورنال: Studia Mathematica
سال: 1969
ISSN: 0039-3223,1730-6337
DOI: 10.4064/sm-32-3-247-268