Results 11 to 20 of about 196 (142)
Generalized probabilities taking values in non-Archimedean fields and in topological groups [PDF]
Russian Journal of Mathematical Physics, 2007 We develop an analogue of probability theory for probabilities taking values in topological groups. We generalize Kolmogorov's method of axiomatization of probability theory: main distinguishing features of frequency probabilities are taken as axioms in the measure-theoretic approach.
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Advanced Materials Technologies, EarlyView.This review outlines how understanding bone's biology, hierarchical architecture, and mechanical anisotropy informs the design of lattice structures that replicate bone morphology and mechanical behavior. Additive manufacturing enables the fabrication of orthopedic implants that incorporate such structures using a range of engineering materials ...
Stylianos Kechagias +4 more
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Numerical and Experimental Study of Mixing Characteristics in a Spiral Micromixer
Asia-Pacific Journal of Chemical Engineering, EarlyView.ABSTRACT Significant enhancement of mixing performance can be achieved by Dean vortices in spiral channels. In order to deeply explore the mixing mechanisms and variation laws in spiral micromixers, this work designed a spiral micromixer and adopted a combined method of experiments and numerical simulations to analyze the mixing performance and ...
Anming Yang, Shiqing Zheng
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Hensel's lemma and the intermediate value theorem over a non-Archimedean field
Journal of Commutative Algebra, 2017 This paper proves that all power series over a maximal ordered Cauchy complete non-Archimedean field satisfy the intermediate value theorem on every closed interval. Hensel's lemma for restricted power series is the main tool of the proof.
Corgnier, Luigi +2 more
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Isoelectronic Alloying in Zintl Phases Mediated the Avoided Crossing and Phonon Softening
ENERGY &ENVIRONMENTAL MATERIALS, EarlyView.A small amount of Hf doping endows Zr3Ni3Sb4‐Zintl with an unusually low thermal conductivity far exceeding that of similar systems. Two unique phonon mechanisms—avoided crossing and phonon softening—significantly suppress the lattice thermal conductivity. The average thermoelectric figure of merit is improved by 21%.
Zesong Wang +6 more
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Free‐Breathing Magnetization Transfer Imaging of the Lung at 0.55 T Using bSTAR
Magnetic Resonance in Medicine, EarlyView.ABSTRACT Purpose To develop a clinically applicable method for magnetization transfer (MT) imaging of the lung at 0.55 T. Methods MT imaging of the chest was explored in healthy volunteers at 0.55 T using a self‐gated 3D half‐radial dual‐echo balanced steady‐state free precession sequence (bSTAR), a 2D multi‐slice gradient echo method (GRE) acquired in
Alexandra Braun +5 more
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A non-Archimedean Arens--Eells isometric embedding theorem on valued fields
, 2023 In 1959, Arens and Eells proved that every metric space can be isometrically embedded into a real linear space as a closed subset. In later years, Michael pointed out that every metric space can be isometrically embedded into a real linear space as a linear independent subset and provided a short proof of Arens--Eells theorem as an application. In this
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Sampling, Mobility, and Anchoring in Small‐Body Sampling Robots: A Comprehensive Review
SmartBot, EarlyView.Small‐body sampling robots are exploration systems that perform contact, sampling, and stable operations on microgravity bodies such as asteroids and comets. The authors review representative robot architectures and key technologies, focusing on the mechanisms, evolution, and coupling of sampling, mobility, and anchoring.
Yurui Shen +7 more
wiley +1 more source
Isometrical embeddings of ultrametric spaces into non-archimedean valued fields
Indagationes Mathematicae (Proceedings), 1984 The following theorems are proved. Theorem 1. For each ultrametric space X there exists a non-Archimedean valued field K and an isometrical embedding \(X\hookrightarrow K.\) Theorem 2. Let K be a non-Archimedean non-trivially valued complete field. The following are equivalent. (\(\alpha)\) K is maximally complete and its residue class field is finite.
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Aggregation and the Structure of Value
Noûs, EarlyView.ABSTRACT Roughly, the view I call “Additivism” sums up value across time and people. Given some standard assumptions, I show that Additivism follows from two principles. The first says that how lives align in time cannot, in itself, matter. The second says, roughly, that a world cannot be better unless it is better within some period or another.
Weng Kin San
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