منابع مشابه
Comparison of Topological Indices Based on Iterated ‘Sum’ versus ‘Product’ Operations
The Padmakar-Ivan (PI) index is a first-generation topological index (TI) based on sums over all edges between numbers of edges closer to one endpoint and numbers of edges closer to the other endpoint. Edges at equal distances from the two endpoints are ignored. An analogous definition is valid for the Wiener index W, with the difference that sums are replaced by products. A few other TIs are d...
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The study of the exact relationships between belief revision and belief update, on one side, and belief revision and nonmonotonic reasoning, on the other, has raised considerable interest, but still, the picture is far from being complete. In this paper, we add some new details to this line of research by making a foundational contribution to the discussions on the very nature of belief change ...
متن کاملcomparison of topological indices based on iterated ‘sum’ versus ‘product’ operations
the padmakar-ivan (pi) index is a first-generation topological index (ti) based on sums overall edges between numbers of edges closer to one endpoint and numbers of edges closer to theother endpoint. edges at equal distances from the two endpoints are ignored. an analogousdefinition is valid for the wiener index w, with the difference that sums are replaced byproducts. a few other tis are discu...
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Valuations — morphisms from (Σ ; ;e) to ((0;∞); ;1) — are a generalization of Bernoulli morphisms introduced in [10]. Here, we show how to generalize the notion of entropy (of a language) in order to obtain new formulae to determine the Hausdorff dimension of fractal sets (also in Euclidean spaces) especially defined via regular (ω-)languages. By doing this, we can sharpen and generalize earlie...
متن کاملOn the modal logic of the iterated Cantor derivative and finitary operations on topological spaces
where Ω is an ordinal (or the class of ordinals) and F is a family of (unary or finitary) operations on a topological space. The natural semantics is as follows: the modality 〈α〉 is interpreted by the αth iteration of the Cantor derivative, while the modalities 〈F 〉 and (F−1) are interpreted by the image and the preimage of the operation F . We describe logics in this language that are sound w....
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ژورنال
عنوان ژورنال: Memoirs of the Faculty of Science, Kyushu University. Series A, Mathematics
سال: 1965
ISSN: 1883-2172,0373-6385
DOI: 10.2206/kyushumfs.19.6