Results 121 to 130 of about 70,207 (165)
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Synthese, 1977
Philosophers of past times have claimed that the answer to the question, Is visual space Euclidean?, can be answered by a priori or purely philosophical methods. Today such a view is presumably held only in remote philosophical backwaters. It would be generally agreed that one way or another the answer is surely empirical, but the answer might be ...
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Philosophers of past times have claimed that the answer to the question, Is visual space Euclidean?, can be answered by a priori or purely philosophical methods. Today such a view is presumably held only in remote philosophical backwaters. It would be generally agreed that one way or another the answer is surely empirical, but the answer might be ...
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G-Semidifferentiability in Euclidean Spaces
Journal of Optimization Theory and Applications, 1999zbMATH Open Web Interface contents unavailable due to conflicting licenses.
PAPPALARDO, MASSIMO, UDERZO A.
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Embedding of trees in euclidean spaces
Graphs and Combinatorics, 1988It is proved that for any tree T the vertices of T can be placed on the surface of a sphere in \(R^ 3\) in such a way that adjacent vertices have distance 1 and nonadjacent vertices have distance less than 1. This improves an earlier result of the last three authors (to appear in Discrete and Computational Geometry).
Hiroshi Maehara +3 more
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On characterization of Euclidean spaces
Applied Mathematics and Computation, 2007Let \(\mathcal{E}\) be a Euclidean plane with Euclidean norm \(\| \dots \| \). A bounded convex centrally symmetric subset \(K\) of \(\mathcal{E}\) with a non-empty interior defines a norm \(\| \dots \| _K\) by \(\| v \| _K = \left(\inf \{r : r v \in K\}\right)^{-1}\).
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THE EMBEDDING OF COMPACTA IN EUCLIDEAN SPACE
Mathematics of the USSR-Sbornik, 1970Recently the fundamental importance of the 1-ULC property of the complementary space in describing a given embedding in En has become clear. "Wild" embeddings in En are characterized by the absence of the 1-ULC property. In this paper "tame" and "wild" embeddings in En of arbitrary compacta in codimension at least 3 are defined.
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Spherical Submanifolds of a Euclidean Space
The Quarterly Journal of Mathematics, 2002zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Al-Odan, Haila, Deshmukh, Sharief
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A Representation of Hypergraphs in the Euclidean Space
IEEE Transactions on Computers, 1984This paper introduces a graph space that shows concisely the relative weights among combinations of vertices of a given hypergraph. (A hypergraph is a graph in which one edge may connect two or more vertices.) The hypergraph is represented by a collection of points in graph space such that the distance between vertices in graph space reflects the ...
Kunio Fukunaga +3 more
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Approximate decidability in euclidean spaces
Mathematical Logic Quarterly, 2003AbstractWe study concepts of decidability (recursivity) for subsets of Euclidean spaces ℝk within the framework of approximate computability (type two theory of effectivity). A new notion of approximate decidability is proposed and discussed in some detail. It is an effective variant of F.
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A New Class of Bertrand Curves in Euclidean 4-Space
Symmetry, 2022Ali Uçum, Yanlin Li, Li Yanlin
exaly