Results 21 to 30 of about 196 (142)

On the theorem of hartogs in non-Archimedean valued fields

Journal of Number Theory, 1983
AbstractLet U = U0 × U1 × … × Un be an open polyring in a non-Archimedean valued, locally non-compact field. Let the function f be defined in the polyring U and satisfy the following conditions: (1) f is holomorphic for every x ∈ U0 separately in each of the rest variables yi ∈ Ui, i = 1, 2,…,n; (2) f is holomorphic in x ∈ U0 for every (y1,…,yn) ∈ V1 ×
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Logarithms, constructible functions and integration on non-archimedean models of the theory of the real field with restricted analytic functions with value group of finite archimedean rank [PDF]

Fundamenta Mathematicae, 2022
Given a model of the theory of the real field with restricted analytic functions such that its value group has finite archimedean rank we show how one can extend the restricted logarithm to a global logarithm with values in the polynomial ring over the model with dimension the archimedean rank.
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Pole‐To‐Pole 3D Radial Trajectory Designs Improve Image Quality and Quantitative Parametric Mapping in the Brain and Heart

Magnetic Resonance in Medicine, Volume 95, Issue 5, Page 2627-2643, May 2026.
ABSTRACT Purpose To design 3D radial spiral phyllotaxis trajectories aimed at removing phase inconsistencies, improving image quality, and enhancing parametric mapping accuracy by acquiring nearly opposing spokes starting from both hemispheres in 3D radial k‐space. Methods Two 3D radial trajectories, pole‐to‐pole and continuous spiral phyllotaxis, were
Eva S. Peper, Grzegorz Bauman, Matteo Tagliabue, Berk C. Açikgöz, Nils M. J. Plähn, Adèle L. C. Mackowiak, Yasaman Safarkhanlo, Joseph G. Woods, Davide Piccini, Li Feng, Christopher W. Roy, Oliver Bieri, Jessica A. M. Bastiaansen   +12 more
wiley   +1 more source

Risk Times in Mission‐Oriented Systems

Quality and Reliability Engineering International, Volume 42, Issue 3, Page 1380-1398, April 2026.
ABSTRACT This article assesses risk times in mission‐oriented systems with high safety standards. We examine critical times under two safety policies. The first requires that the system's reliability function, known the first failure of the components, must exceed a reliability level throughout the mission.
Antonio Arriaza, Jorge Navarro, Patricia Ortega‐Jiménez   +2 more
wiley   +1 more source

Matrix-Mappings in a Separating Duality on a Non-Archimedean Valued Field

International Journal of Algebra and Statistics, 2012
We define the notion of matrix-mappings in separated duality \(\langle X, Y \rangle\) of vector spaces over a non-archimedean valued field \(K\), and we characterize these matrix-mappings. Then, we introduce a topology in the spaces of matrixmappings, and we give some applications in the algebras of matrix-mappingsover a p-adic field \(Q_p\).
R. Ameziane Hassani, A. El amrani, M. Babahmed   +2 more
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Scaling of Latitude‐Dependent Heat Transport in Geostrophic Convection

Geophysical Research Letters, Volume 53, Issue 6, 28 March 2026.
Abstract Latitudinal variations in heat transport shape the thermal and magnetic evolution of rapidly rotating planets, stars, and icy moons. Although global simulations have revealed strong equatorial–polar contrasts, a predictive scaling theory has been lacking.
Veeraraghavan Kannan, Varghese Mathai, Xiaojue Zhu   +2 more
wiley   +1 more source

Patterning the Void: Combining L‐Systems with Archimedean Tessellations as a Perspective for Tissue Engineering Scaffolds

Advanced Functional Materials, Volume 36, Issue 23, 19 March 2026.
This study introduces a novel multi‐scale scaffold design using L‐fractals arranged in Archimedean tessellations for tissue regeneration. Despite similar porosity, tiles display vastly different tensile responses (1–100 MPa) and deformation modes. In vitro experiments with hMSCs show geometry‐dependent growth and activity. Over 55 000 tile combinations
Maria Kalogeropoulou, Kenny A. van Kampen, Pierpaolo Fucile, Carlos Mota, Lorenzo Moroni   +4 more
wiley   +1 more source

Remarks on spherical completeness of non-archimedean valued fields

Indagationes Mathematicae, 1994
Let \(K\) be a non-Archimedean valued field. \textit{J. von Tiel} proved in [Indag. Math. 27, 249-289 (1965; Zbl 0133.065)]\ that if \(K\) is spherically complete then every locally convex space \((E, \tau)\) over \(K\) admits the Mackey topology (i.e. the finest locally convex topology \(\mu\) for which \((E, \tau)'= (E, \mu)'\)).
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Unexpected {Pu60} Cage Cluster Units in New Plutonium(VI) Oxido‐Hydroxides

Angewandte Chemie Novit, Volume 2, Issue 1, March 2026.
Plutonium(VI) hydrolysis in strongly alkaline NaCl‐NaOH solutions yields needle‐ and platelet‐like crystals. They are built from unprecedented spherical [(PuO2)60O20(OH)120]40− cages that adopt a truncated dodecahedral (Archimedean) topology. Each {Pu60} cage contains 20 identical trimeric subunits, which self‐assemble from Pu(VI) solution trimers ...
David Fellhauer, Olaf Walter, Jörg Rothe, Kathy Dardenne, Dieter Schild, Roland Meier, Philipp Müller, Yongheum Jo, Xavier Gaona, Marcus Altmaier, Horst Geckeis   +10 more
wiley   +1 more source

Subuniformity of harmonic mean p$$ p $$‐values

Canadian Journal of Statistics, Volume 54, Issue 1, March 2026.
Abstract We obtain several inequalities on the generalized means of dependent p$$ p $$‐values. In particular, the weighted harmonic mean of p$$ p $$‐values is strictly subuniform under several dependence assumptions of p$$ p $$‐values, including independence, negative upper orthant dependence, the class of extremal mixture copulas, and some Clayton ...
Yuyu Chen, Ruodu Wang, Yuming Wang, Wenhao Zhu   +3 more
wiley   +1 more source