Results 41 to 50 of about 994 (163)

Hyperideal polyhedra in the 3-dimensional anti-de Sitter space [PDF]

Advances in Mathematics, 2019
We study hyperideal polyhedra in the 3-dimensional anti-de Sitter space $AdS^3$, which are defined as the intersection of the projective model of $AdS^3$ with a convex polyhedron in $RP^3$ whose vertices are all outside of $AdS^3$ and whose edges all ...
Qiyu Chen, Jean-Marc Schlenker
semanticscholar   +1 more source

Rigidity of circle polyhedra in the $2$-sphere and of hyperideal polyhedra in hyperbolic $3$-space [PDF]

Transactions of the American Mathematical Society, 2017
We generalize Cauchy's celebrated theorem on the global rigidity of convex polyhedra in Euclidean $3$-space $\mathbb{E}^{3}$ to the context of circle polyhedra in the $2$-sphere $\mathbb{S}^{2}$.
J. Bowers, Philip L. Bowers, Kevin Pratt
semanticscholar   +1 more source

A New Approach to Evaluate Regular Semirings in terms of Bipolar Fuzzy k‐Ideals Using k‐Products

Journal of Mathematics, Volume 2022, Issue 1, 2022., 2022
In this paper, we provide a generalized form of ideals that is k‐ideals of semirings with the combination of a bipolar fuzzy set (BFS). The BFS is a generalization of fuzzy set (FS) that deals with uncertain problems in both positive and negative aspects. The main theme of this paper is to present the idea of (α, β)‐bipolar fuzzy k‐subsemiring (k‐BFSS),
Shahida Bashir, Ahmad N. Al-Kenani, Tanzila Kausar, Rabia Mazhar, Ching-Feng Wen   +4 more
wiley   +1 more source

A Generalized Decision‐Making Technique Based on Bipolar‐Valued Multivague Soft Sets

Journal of Function Spaces, Volume 2022, Issue 1, 2022., 2022
The decision‐making technique, launched by Roy and Maji, is considered an effective method to overcome uncertainty and fuzziness in decision‐making problems, though, adapting it to reflect the problem parameters’ vagueness, as well as multibipolarity, is very difficult. So, in this article, the bipolarity is interpolated into the multivague soft set of
Hanan H. Sakr, Abdisalam Hassan Muse, Ramy Aldallal, Muhammad Gulzar   +3 more
wiley   +1 more source

An Approach to BMBJ‐Neutrosophic Hyper‐BCK‐Ideals of Hyper‐BCK‐Algebras

Journal of Mathematics, Volume 2021, Issue 1, 2021., 2021
In this article, a new idea of BMBJ‐neutrosophic hyper‐BCK‐algebras is introduced and some of its properties are investigated. Here, BMBJ‐neutrosophic hyper‐BCK‐ideal, BMBJ‐neutrosophic weak hyper‐BCK‐ideal, BMBJ‐neutrosophic s‐weak hyper‐BCK‐ideal, and BMBJ‐neutrosophic strong hyper‐BCK‐ideal are presented, and some relevant results and relations are ...
Abdelaziz Alsubie, Anas Al-Masarwah, Young Bae Jun, Abd Ghafur Ahmad, Feng Feng   +4 more
wiley   +1 more source

$r$-Hyperideals and Generalizations of $r$-Hyperideals in Krasner Hyperrings

, 2021
In this study, we examine some properties of $r$-hyperideals in the commutative Krasner hyperrings. Some properties of $pr$-hyperideals are also studied. The relation between prime hyperideals and $r$-hyperideals is investigated. We show that the image and the inverse image of an $r$-hyperideal is also an $r$-hyperideal.
Bolat, Melis, Xu, Peng, Onar, Serkan, Hila, Kostaq, Ersoy, Bayram Ali, Kaya, Elif   +5 more
openaire   +3 more sources

Decorated Discrete Conformal Maps and Convex Polyhedral Cusps [PDF]

International mathematics research notices, 2023
We discuss a notion of discrete conformal equivalence for decorated piecewise Euclidean surfaces (PE-surface), that is, PE-surfaces with a choice of circle about each vertex.
A. Bobenko, Carl O. R. Lutz
semanticscholar   +1 more source

Non-rigidity of spherical inversive distance circle packings [PDF]

, 2011
We give a counterexample of Bowers-Stephenson's conjecture in the spherical case: spherical inversive distance circle packings are not determined by their inversive distances.Comment: 6 pages, one ...
A.V. Pogorelov, E. Schönhardt, F. Luo, I. Izmestiev, J.-M. Schlenker, J.-M. Schlenker, J.-M. Schlenker, Jean-Marc Schlenker, Jiming Ma, P. Bowers   +9 more
core   +4 more sources

A Study on A − I − Γ‐Hyperideals and (m, n) − Γ‐Hyperfilters in Ordered Γ‐Semihypergroups

Discrete Dynamics in Nature and Society, Volume 2021, Issue 1, 2021., 2021
The concept of almost interior Γ‐hyperideals (A − I − Γ‐hyperideals) in ordered Γ‐semihypergroups is a generalization of the concept of interior Γ‐hyperideals (I − Γ‐hyperideals). In this study, the connections between I − Γ‐hyperideals and A − I − Γ‐hyperideals in ordered Γ‐semihypergroups were presented.
Yongsheng Rao, Saeed Kosari, Zehui Shao, Maryam Akhoundi, Saber Omidi, Tien Van Do   +5 more
wiley   +1 more source

Polyhedral hyperbolic metrics on surfaces [PDF]

, 2008
In the last section of \cite{CompHyp} it is proved that the map $\mathcal{I}$ is a finite-sheeted covering map between $\mathcal{P}$ and $\mathcal{M}$. As $\mathcal{M}$ is simply connected it is deduced that $\mathcal{I}$ is a homeomorphism.
Fillastre, François
core   +5 more sources