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Metric distributional discrepancy in metric space
14 pages, 2 ...
Pan, Wenliang +4 more
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Space of Spaces as a Metric Space [PDF]
In spacetime physics, we frequently need to consider a set of all spaces (`universes') as a whole. In particular, the concept of `closeness' between spaces is essential. However, there has been no established mathematical theory so far which deals with a space of spaces in a suitable manner for spacetime physics.
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Multisets have many applications in a variety of fields today, including computer science, medicine, banking, engineering, information storage, and information analysis.
Ecemnur Mutlu, Ayşegül Çaksu Güler
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L-Fuzzy Invariant Metric Space
In this paper, we define L-fuzzy invariant metric space, and generalize some well known results in metric and fuzzy metric space including Uniform continuity theorem and Ascoli-Arzela theorem.
Servet Kütükçü
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On the k-metric dimension of metric spaces
The metric dimension of a general metric space was defined in 1953, applied to the set of vertices of a graph metric in 1975, and developed further for metric spaces in 2013. It was then generalised in 2015 to the k-metric dimension of a graph for each positive integer k, where k=1 corresponds to the original definition.
Alan F. Beardon +1 more
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The metric of colour space [PDF]
Display Omitted The space of colours is a fascinating space. It is a real vector space, but no matter what inner product you put on the space the resulting Euclidean distance does not correspond to human perception of difference between colours.In 1942 MacAdam performed the first experiments on colour matching and found the MacAdam ellipses which are ...
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TITIK-ANTARA DI DALAM RUANG METRIK DAN RUANG INTERVAL METRIK
A point p in metric space ()dX, is called a between-point of if Xba∈,()()(bpdpadbad,,,+= ). This concept was formulated by Menger in 1928. If all the between-points of a and b is collected in a set, then a and b are that set automaticlly. In the metric
Mozart W. Talakua
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Application of the Fisher-Rao metric to ellipse detection [PDF]
The parameter space for the ellipses in a two dimensional image is a five dimensional manifold, where each point of the manifold corresponds to an ellipse in the image. The parameter space becomes a Riemannian manifold under a Fisher-Rao metric, which is
Stephen J. Maybank, Maybank, Stephen J.
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Partial b-Rectangular Metric Space with Some Results
A new generalization of metric space called partial b-rectangular metric space is introduced. Also, the relation between this generalization and the other generalizations for example a b-rectangular metric space is given. Moreover, we have proved Banach
Noor Riyadh Adeeb
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06481 Abstracts Collection – Geometric Networks and Metric Space Embeddings [PDF]
The Dagstuhl Seminar 06481 ``Geometric Networks and Metric Space Embeddings'' was held from November~26 to December~1, 2006 in the International Conference and Research Center (IBFI), Schloss Dagstuhl.
Gudmundsson, Joachim +4 more
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