منابع مشابه
A Fractal Dimension Estimate for a Graph-directed Ifs of Non-similarities
Suppose a graph-directed iterated function system consists of maps fe with upper estimates of the form d ( fe(x), fe(y) ) ≤ red(x, y). Then the fractal dimension of the attractor Kv of the IFS is bounded above by the dimension associated to the Mauldin–Williams graph with ratios re. Suppose the maps fe also have lower estimates of the form d ( fe(x), fe(y) ) ≥ r e d(x, y) and that the IFS also ...
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Prime graph of a ring R is a graph whose vertex set is the whole set R any any two elements $x$ and $y$ of $R$ are adjacent in the graph if and only if $xRy = 0$ or $yRx = 0$. Prime graph of a ring is denoted by $PG(R)$. Directed prime graphs for non-commutative rings and connectivity in the graph are studied in the present paper. The diameter and girth of this graph are also studied in the pa...
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Neural embeddings have been used with great success in Natural Language Processing (NLP). They provide compact representations that encapsulate word similarity and attain state-of-the-art performance in a range of linguistic tasks. The success of neural embeddings has prompted significant amounts of research into applications in domains other than language. One such domain is graph-structured d...
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ژورنال
عنوان ژورنال: Journal of Differential Equations
سال: 2011
ISSN: 0022-0396
DOI: 10.1016/j.jde.2011.08.030