Results 31 to 40 of about 10,424,213 (314)
Factorisation theorems for generalised power series [PDF]
Fields of generalised power series (or Hahn fields), with coefficients in a field and exponents in a divisible ordered abelian group, are a fundamental tool in the study of valued and ordered fields and asymptotic expansions.
L'Innocente, Sonia, Mantova, Vincenzo
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Algebraic Solution of Tropical Polynomial Optimization Problems
We consider constrained optimization problems defined in the tropical algebra setting on a linearly ordered, algebraically complete (radicable) idempotent semifield (a semiring with idempotent addition and invertible multiplication).
Nikolai Krivulin
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Completeness of Ordered Fields and a Trio of Classical Series Tests
This article explores the fate of the infinite series tests of Dirichlet, Dedekind, and Abel in the context of an arbitrary ordered field. It is shown that each of these three tests characterizes the Dedekind completeness of an Archimedean ordered field;
Robert Kantrowitz, Michael M. Neumann
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A Novel Approach toward Fuzzy Generalized Bi-Ideals in Ordered Semigroups
In several advanced fields like control engineering, computer science, fuzzy automata, finite state machine, and error correcting codes, the use of fuzzified algebraic structures especially ordered semigroups plays a central role.
Faiz Muhammad Khan +2 more
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Methodological integration in the study of religions
"Religions" constitute a field of study and accordingly "the study of religion (or religions)" is a discipline. What is a discipline, that is, in the scientific sense?
Michael Pye
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Protein-based hydrogels hold a high content of water in their three-dimensional (3D) network structure and exhibit innate biological activities as well as soft tissue-like mechanical properties, resulting in being highly applicable to various tissue ...
Haiyan Yin +7 more
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Let \(D\) be a division ring with involution *, center \(F\) and \([D : F] < \infty \). Since furthermore \(D\) is required to have a weak *-ordering, only the following two cases occur: (1) \((D,*)\) is a standard quaternion-algebra or (2) \([D : F]\) is odd.
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In this paper we shall give a necessary and sufficient condition that a skew field can be ordered; moreover, that the ordering of an ordered skew field K can be extended to an ordering of L, L being a given extension of K. The first of these two results generalizes to skew fields a theorem of E. Artin and 0.
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Materials with full spin polarization that exhibit zero net magnetization attract great scientific interest because of their potential applications in spintronics. Here, the structural, magnetic and electronic properties of a C1b-ordered FeMnGa alloy are
Y. J. Zhang +3 more
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Well-ordered hierarchically porous carbon (HPC) nanomaterials have been successfully synthesized by a facile, efficient, and fast heated-evaporation induced self-assembly (HISA) method.
Xiaojian Hou +9 more
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