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This 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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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]
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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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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Fractal Dimension of Fractal Functions on the Real Projective Plane
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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Projective bundles and blowing ups
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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Cycles in projective spaces [PDF]
6 ...
Aceves, Elaina +3 more
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Neutrosophic projective G-submodules [PDF]
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
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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On the properties of the projective Lie algebras of rigid h-spaces H32 of the type {32}
The five-dimensional pseudo-Riemannian spaces that admit infinitesimal projective transformations were studied. A general solution of the Eisenhart equation in the h-space H32 of non-constant curvature was found.
A.V. Aminova, D.R. Khakimov
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