Results 151 to 160 of about 16,932,162 (348)

Sequences of Residues in Algebraic Number Fields

open access: yesJournal of Number Theory, 1995
Let \(K\) be an algebraic number field of degree \(d\) over the rationals. \(\Lambda_ K(n,m)\) denotes the least positive number such that for almost all prime ideals \(\mathfrak p\) of \(K\) there exists an integer \(\alpha\) and a unit \(u\) in \(K\) with the property that \(\alpha,\alpha + u,\dots,\alpha + (m - 1)u\) are all \(n\)-th power residues \
openaire   +2 more sources

Compact Manifolds With Unbounded Nilpotent Fundamental Groups and Positive Ricci Curvature

open access: yesCommunications on Pure and Applied Mathematics, EarlyView.
ABSTRACT It follows from the work of Kapovitch and Wilking that a closed manifold with nonnegative Ricci curvature has a uniformly almost nilpotent fundamental group. Leftover questions and conjectures, have asked if in this context the fundamental group is actually uniformly almost abelian. The main goal of this work is to construct examples (Mk9,gk)$(
Elia Bruè, Aaron Naber, Daniele Semola
wiley   +1 more source

Transcendental entire functions mapping every algebraic number field into itself

open access: yesJournal of the Australian Mathematical Society, 1968
A. J. van der Poorten
semanticscholar   +1 more source

From Nature to Supply Chain: Exploring Biomimicry‐Based Pathways to Sustainability and Competitive Advantage

open access: yesCorporate Social Responsibility and Environmental Management, EarlyView.
ABSTRACT Inspired by insights gleaned from biomimicry theory, this paper addresses the persistent lack of theoretically grounded research in sustainable supply chain management (SSCM) and examines how nature‐inspired biomimicry principles could enhance various dimensions of its competitiveness. This study's theoretical contribution lies in its proposal
Susana Garrido   +4 more
wiley   +1 more source

Machine Learning Unveils Isolated‐Surrounded Pt Motifs in High‐Entropy Alloys for Superior Low‐Temperature Ammonia Oxidation

open access: yesENERGY &ENVIRONMENTAL MATERIALS, EarlyView.
A physics‐informed machine learning approach successfully decodes the complex catalytic activity of high‐entropy alloys for ammonia oxidation. By revealing a synergistic mechanism involving lattice and electronic couplings, the study identifies a superior “isolated‐surrounded” platinum motif.
Shangfeng Jiang   +5 more
wiley   +1 more source

Formalization and implementation of logical-probabilistic and logical-algebraic operational models of the functional architecture of cluster computing systems

open access: yesИзвестия высших учебных заведений. Поволжский регион:Технические науки
Background. Based on the conducted study of developments in the field of functional architecture of cluster computing systems, the relevance of work in this direction is shown, which is due to the increasing demand for affordable high-performance ...
G.V. Petushkov, A.S. Sigov
doaj   +1 more source

The Computation of Polynomial Greatest Common Divisors Over an Algebraic Number Field

open access: yesJournal of symbolic computation, 1987
Lars Langemyr, Scott McCallum
semanticscholar   +1 more source

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