Results 101 to 110 of about 7,200,901 (241)
Mathematical Theory of Spectral Anomaly Detection in Graph Systems
Представлена полная математическая рукопись, посвящённая спектрально-статистическому анализу обнаружения аномалий в графовых системах на основе лапласиановой квадратичной статистики \(Q(x)=x^T Lx\).В работе рассматриваются точная калибровка вероятности ложной тревоги, распределительные свойства статистики при нулевой и альтернативной гипотезах, влияние
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λ∞: A New Mathematical Constant from the Spectral Theory of the Prime LCM Matrix
Source files for the preprint "λ∞: A New Mathematical Constant from the Spectral Theory of the Prime LCM Matrix" (OEIS A396695). Includes the LaTeX source (munari_lambda_infinity_2026.tex) and all 10 ancillary computational scripts (Runs A–H, PSLQ-1a/1b/2, LLL) described in the paper.
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Community detection in large-scale social networks remains a central challenge because methods must be both theoretically grounded and computationally efficient. This paper introduces a spectral framework that links the eigenvalue structure of the normalized Laplacian to the existence and separability of communities, and couples this theory with a ...
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A metasurface‐enabled helical wavefront fingerprint (MHWF) paradigm is proposed for quantitative and specific retrieval of a liquid medium's refractive index and extinction coefficient. The liquid's complex dielectric response governs the wavefront evolution of the metasurface‐generated focused vortex beam, forming a distinctive three‐dimensional ...
Yuting Zhou +10 more
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Resonance transformations for the ( 2 , 2 p + 1 ) minimal string via x - y swap: a proof of Artemev's conjecture. [PDF]
Dekinga K, Shadrin S, Verlinde E.
europepmc +1 more source
An ultrafast (2‐minute), gas‐free chemical pre‐sodiation strategy using Na‐benzophenone is developed to compensate for initial sodium loss in calcium vanadate (CaV8O20). Driven by the Ca2+ ‘spectator effect’, the framework enables highly reversible, quasi‐zero‐strain solid‐solution sodium storage, explicitly bypassing destructive conversion reactions ...
Neetu Bansal +7 more
wiley +1 more source
High-accuracy pseudospectral scheme for fractional diffusion-wave problems based on cardinal functions. [PDF]
Saray BN +5 more
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We report the rational design of artificial photocatalysts with asymmetrically coordinated dual‐metal centers and a tailored microenvironment, broadly applicable strategy is established for the synthesis of multivariate zirconium‐based metal–organic frameworks, offering a platform for precisely tuning active‐site configurations to optimize ...
Yuxin Lu +11 more
wiley +1 more source
Graph theory identifies altered prefrontal microcircuit organization in Shank3 mice, a mouse Model of autism. [PDF]
Liu R +9 more
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Controlled Pt–Pt fine structure in square‐planar Pt(II) complexes governs metal–metal‐to‐ligand charge‐transfer (MMLCT) state formation, exciton dynamics, and organic light‐emitting diode performance. Short Pt–Pt contacts in Pt(fppz)2 enable coherent metal–metal coupling, sub‐microsecond emission and an external quantum efficiency of 29%, whereas ...
Atul Shukla +15 more
wiley +1 more source

