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Space of Spaces as a Metric Space [PDF]
Communications in Mathematical Physics, 2000 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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Interpreting the C-metric [PDF]
, 2006 The basic properties of the C-metric are well known. It describes a pair of causally separated black holes which accelerate in opposite directions under the action of forces represented by conical singularities.
P. Krtous (7160315) +2 more
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Banach Fixed Point Theorem in Extended bv(s)-Metric Spaces
Computer Sciences & Mathematics Forum, 2023 We define the class of extended bv(s)-metric spaces by replacing the real number s≥1 with a strictly increasing continuous function ϕ in the definition of a bv(s)-metric space.
Anil Kumar
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On the k-metric dimension of metric spaces
Ars Mathematica Contemporanea, 2018 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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L-Fuzzy Invariant Metric Space
Communications in Advanced Mathematical Sciences, 2018 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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Universal Journal of Mathematics and Applications, 2023 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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TITIK-ANTARA DI DALAM RUANG METRIK DAN RUANG INTERVAL METRIK
Barekeng, 2007 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]
, 2007 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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The metric of colour space [PDF]
Graphical Models, 2015 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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Hyperconvexity and endpoints in T₀-quasi-metric spaces [PDF]
, 2013 Over the last decades much progress has been made in the investigation of hyperconvexity in metric spaces. Recently Kemajou and others have published an article concerning hyperconvexity in T₀-quasi-metric spaces.
Haihambo, Paulus
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