Results 41 to 50 of about 13,010 (261)
A Perspective on Interactive Theorem Provers in Physics
Advanced Science, EarlyView.Into an interactive theorem provers (ITPs), one can write mathematical definitions, theorems and proofs, and the correctness of those results is automatically checked. This perspective goes over the best usage of ITPs within physics and motivates the open‐source community run project PhysLean, the aim of which is to be a library for digitalized physics
Joseph Tooby‐Smith
wiley +1 more source
A REMARK ON THE COUNTABLY Σ−CS RING
Tạp chí Khoa họcLet 𝑅 be a ring such that 𝑅𝑅 = 𝑒1 𝑅 ⊕ · · · ⊕ 𝑒𝑛 𝑅, where each 𝑒𝑖 𝑅 is a uniform right ideal and {𝑒𝑖 | 1 ≤ 𝑖 ≤ 𝑛} is a set of idempotents. We consider the following condition on 𝑅𝑅 : for all 𝑖, 𝑗 ∈ {1, . . . , 𝑛}, the module 𝑒𝑖 𝑅 does not embed in any
Le Van An∗, To Ngoc Le Anh
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Physical Origin of Temperature Induced Activation Energy Switching in Electrically Conductive Cement
Advanced Science, EarlyView.The temperature‐induced Arrhenius activation energy switching phenomenon of electrical conduction in electrically conductive cement originates from structural degradation within the biphasic ionic‐electronic conduction architecture and shows percolation‐governed characteristics: pore network opening dominates the low‐percolation regime with downward ...
Jiacheng Zhang +7 more
wiley +1 more source
Tạp chí Khoa họcLet 𝑅 be a ring such that 𝑅𝑅 = 𝑒1𝑅 ⊕ … ⊕ 𝑒𝑛𝑅 where each 𝑒𝑖𝑅 is a uniform right ideal with finite composition length, and {𝑒𝑖 | 𝑖 = 1, … , 𝑛 } is a set of idempotents. We consider the following condition on 𝑅𝑅: for all distinct 𝑖 and 𝑗, if 𝑙(𝑒𝑖𝑅) < 𝑙 (
Le Van An*, Nguyen Thi Hong
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Excitations in strict 2-group higher gauge models of topological phases
Journal of High Energy Physics, 2020 We consider an exactly solvable model for topological phases in (3+1) d whose input data is a strict 2-group. This model, which has a higher gauge theory interpretation, provides a lattice Hamiltonian realisation of the Yetter homotopy 2-type topological
Alex Bullivant, Clement Delcamp
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Advanced Science, EarlyView.A conversion‐resolved constitutive framework is developed for the hydrogen‐based direct reduction of iron oxide pellets. Effective reaction and transport timescales are inferred directly from measured trajectories and mapped against operating conditions, pellet architecture, and composition. The analysis reveals how late‐stage transport control emerges
Anurag Bajpai +3 more
wiley +1 more source
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2016 In this paper, we consider graded near-rings over a monoid G as generalizations of graded rings over groups, and study some of their basic properties.
Dumitru Mariana +2 more
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Symmetry‐Imposed Selection Rules for Excitations of Nontrivial Plasmonic Topologies
Advanced Science, EarlyView.A unified group‐theory selection rule governs the excitation of vectorial nearfield topologies across three plasmonic spin states. Derived from first principles, it predicts spin–orbit vortex splitting and multidimensional nested vortices, confirmed by phase‐resolved in situ measurements.
Jie Yang +14 more
wiley +1 more source
Formal proofs in real algebraic geometry: from ordered fields to quantifier elimination [PDF]
Logical Methods in Computer Science, 2012 This paper describes a formalization of discrete real closed fields in the Coq proof assistant. This abstract structure captures for instance the theory of real algebraic numbers, a decidable subset of real numbers with good algorithmic properties.
Assia Mahboubi, Cyril Cohen
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Advanced Science, EarlyView.The protein aggregates and gene expression in the middle temporal gyrus (MTG) and somatosensory cortex (SOM) of the postmortem brains of 13 Alzheimer's disease patients were studied in detail, revealing that small hyperphosphorylated tau aggregates increase with Braak stage driven by microglial inflammation.
Elizabeth A. English +9 more
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