Results 11 to 20 of about 2,467,001 (317)
Proceedings of the American Mathematical Society, 1952 Simple consequences of these assumptions are: x>y implies x+z >y+z;x>y implies Xx>Xy for real positive scalarsX; x > 0 if and only if 0>-x. An important class of examples of such V's is due to R. Thrall ; we shall call these spaces lexicographic function spaces (LFS), defining them as follows: Let T be any simply ordered set ; let / be any real-valued ...
Hausner, M., Wendel, J. G.
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Hypercompositional Algebra, Computer Science and Geometry
Mathematics, 2020 The various branches of Mathematics are not separated between themselves. On the contrary, they interact and extend into each other’s sometimes seemingly different and unrelated areas and help them advance. In this sense, the Hypercompositional Algebra’s
Gerasimos Massouros, Christos Massouros
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Discovering Interdisciplinary Research Based on Neural Networks
Frontiers in Bioengineering and Biotechnology, 2022 Interdisciplinary research promotes the emergence of scientific innovation. Researchers want to find interdisciplinary research in their research field.
Tao He +6 more
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Techno-Concepts for the Cultural Field: n-Dimensional Space and Its Conceptual Constellation
Multimodal Technologies and Interaction, 2022 This paper advocates an epistemological turn in the field of digital art history and cultural heritage studies. This epistemological turn is understood as the elaboration of a new (or renewed) epistemic apparatus that allows us to understand and ...
Nuria Rodríguez-Ortega
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On the formal power series algebras generated by a vector space and a linear functional [PDF]
Journal of Hyperstructures, 2017 Let R be a vector space ( on C) and ϕ be an element of R∗ (the dual space of R), the product r · s = ϕ(r)s converts R into an associative algebra that we denote it by Rϕ.
A. R. Khoddami
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Linear Diophantine Fuzzy Subspaces of a Vector Space
Mathematics, 2023 The notion of a linear diophantine fuzzy set as a generalization of a fuzzy set is a mathematical approach that deals with vagueness in decision-making problems.
Madeleine Al-Tahan +3 more
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Automotive Sector Financial Performance Dynamic Model: Europe vs. Asia Case Study
Mathematics, 2022 The current geo-political context brings to light new challenges to the smooth functioning of the global automotive trade, both through the economic boycott of Russian units and the intensified transition to the green economy.
Romeo-Victor Ionescu +3 more
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Topological Indices of Graphs from Vector Spaces
Mathematics, 2023 Topological indices are numbers that are applied to a graph and can be used to describe specific graph properties through algebraic structures. Algebraic graph theory is a helpful tool in a range of chemistry domains.
Krishnamoorthy Mageshwaran +3 more
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Wildness of the problems of classifying two-dimensional spaces of commuting linear operators and certain Lie algebras [PDF]
, 2017 For each two-dimensional vector space $V$ of commuting $n\times n$ matrices over a field $\mathbb F$ with at least 3 elements, we denote by $\widetilde V$ the vector space of all $(n+1)\times(n+1)$ matrices of the form $\left[\begin{smallmatrix}A&*\\0&0 ...
Futorny, Vyacheslav +3 more
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On the group of automorphisms of the algebra of plural numbers
Дифференциальная геометрия многообразий фигур, 2023 The algebra of dual numbers was first introduced by V. K. Clifford in 1873. The algebras of plural and dual numbers are analogous to the algebra of complex numbers. Dual numbers form an algebra, but not a field, because only dual numbers with a real part
A. Ya. Sultanov +2 more
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