Spherical Embeddings of Symmetric Association Schemes in 3-Dimensional Euclidean Space
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DOI: 10.1007/s00373-019-02075-6
Abstract: We classify the symmetric association schemes with faithful spherical embedding in 3-dimensional Euclidean space. Our result is based on previous research on primitive association schemes with $$m_1 = 3$$ m 1 = 3 . read more here.
Keywords: symmetric association; euclidean space; dimensional euclidean; association ... See more keywords
Equiangular Lines in Low Dimensional Euclidean Spaces
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DOI: 10.1007/s00493-020-4523-0
Abstract: We show that the maximum cardinality of an equiangular line system in 14 and 16 dimensions is 28 and 40, respectively, thereby solving a longstanding open problem. We also improve the upper bounds on the… read more here.
Keywords: dimensional euclidean; euclidean spaces; low dimensional; lines low ... See more keywords
Embedding compact surfaces into the 3-dimensional Euclidean space with maximum symmetry
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DOI: 10.1007/s11425-017-9078-0
Abstract: The symmetries of surfaces which can be embedded into the symmetries of the 3-dimensional Euclidean space ℝ3 are easier to feel by human’s intuition. We give the maximum order of finite group actions on (ℝ3,… read more here.
Keywords: dimensional euclidean; euclidean space; embedding compact; surfaces dimensional ... See more keywords
Virial coefficients of hard, homonuclear dumbbells in two- to four-dimensional Euclidean spaces.
Sign Up to like & getrecommendations! Published in 2023 at "Physical review. E"
DOI: 10.1103/physreve.107.024129
Abstract: We calculated virial coefficients up to the eighth order for hard dumbbells in two-, three-, and four-dimensional Euclidean spaces employing Mayer-sampling Monte Carlo simulations. We improved and extended available data in two dimensions, provide virial… read more here.
Keywords: virial coefficients; four dimensional; dimensional euclidean; euclidean spaces ... See more keywords
Homotopic properties of KA-digitizations of n-dimensional Euclidean spaces
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DOI: 10.15672/hujms.546983
Abstract: For $X (\subset R^n)$, assume the subspace $(X, E_X^n)$ induced by the $n$-dimensional Euclidean topological space $(R^n, E^n)$. Let $Z$ be the set of integers. Khalimsky topology on $Z$, denoted by $(Z, \kappa)$, is generated… read more here.
Keywords: homotopy; topology; homotopic properties; dimensional euclidean ... See more keywords
(ζ-m, ζm)-Type Algebraic Minimal Surfaces in Three-Dimensional Euclidean Space
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DOI: 10.3390/axioms11010026
Abstract: We introduce the real minimal surfaces family by using the Weierstrass data (ζ−m,ζm) for ζ∈C, m∈Z≥2, then compute the irreducible algebraic surfaces of the surfaces family in three-dimensional Euclidean space E3. In addition, we propose… read more here.
Keywords: dimensional euclidean; euclidean space; three dimensional; type algebraic ... See more keywords
Isometric Deformation of (m,n)-Type Helicoidal Surface in the Three Dimensional Euclidean Space
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DOI: 10.3390/math6110226
Abstract: We consider a new kind of helicoidal surface for natural numbers ( m , n ) in the three-dimensional Euclidean space. We study a helicoidal surface of value ( m , n ) , which… read more here.
Keywords: three dimensional; dimensional euclidean; surface; euclidean space ... See more keywords