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Matrix Science MathematicThis article will begin with the claim that Hamilton spent a great deal of time trying to figure out the three-dimensional complex numbers. He was never able to accomplish that.
MSc. Ruslan Pozinkevycha
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CoRR, 2022 In some situations, no professional human contact can be available. Accordingly, one remains alone with one's problems and fears. A manned Mars flight is certainly such a situation. A voice assistant that shows empathy and assists the astronauts could be a solution.
Martin Spathelf, Oliver Bendel
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The space of twisted cubics [PDF]
Épijournal de Géométrie Algébrique, 2021 We consider the Cohen-Macaulay compactification of the space of twisted cubics in projective n-space. This compactification is the fine moduli scheme representing the functor of CM-curves with Hilbert polynomial 3t+1. We show that the moduli scheme of CM-
Katharina Heinrich +2 more
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Fractal Dimension of Fractal Functions on the Real Projective Plane
Fractal and Fractional, 2023 In this article, we consider an iterated functions system on the non-Euclidean real projective plane which has a linear structure. Then, we study the fractal dimension of the associated curve as a subset of the projective space and like a set of the ...
Alamgir Hossain +2 more
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Cycles in projective spaces [PDF]
Journal of Geometry, 2013 6 ...
Aceves, Elaina +3 more
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Engineering and Technology Journal, 2009 The purpose of this work is to give some definitions and prove some theorems onprojective 3-space S=PG(3,K) over a field K.Also, the principle of duality in S is given which state that any theorem true in theprojective 3-space concerned with the points ...
Mohammed S.Kirdar, Amal S.Al-Mukhtar
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Projective bundles and blowing ups
Comptes Rendus. Mathématique, 2021 We study the blowing up $\widetilde{X}$ of a smooth projective variety $X$ along a smooth center $B$ that is equipped with a projective bundle structure over a variety $Z$. If $B$ is a point, then $X$ is a projective space. If the Picard number $\rho (X)$
Li, Duo
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Robust line-convex polygon intersection computation in E² using projective space representation
Machine Graphics & Vision, 2023 This paper describes modified robust algorithms for a line clipping by a convex polygon in E2 and a convex polyhedron in E3. The proposed algorithm is based on the Cyrus-Beck algorithm and uses homogeneous coordinates to increase the robustness of ...
Vaclav Skala
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Neutrosophic projective G-submodules [PDF]
Neutrosophic Sets and Systems, 2020 A significant area of module theory is the concept of free modules, projective modules and injective modules. The goal of this study is to characterize the projective G-modules under a single-valued neutrosophic set.
Binu R., P. Isaac
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On the quaternion projective space
Journal of Taibah University for Science, 2020 Apart from being a vital and exciting field in mathematics with interesting results, projective spaces have various applications in design theory, coding theory, physics, combinatorics, number theory and extremal combinatorial problems. In this paper, we
Y. Omar +4 more
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