Results 101 to 110 of about 1,197 (263)
On the Seidel spectrum of the total graphs of the rings of integers modulo n
Mathematics OpenIn this paper, we study the Seidel spectrum of the total graph [Formula: see text] for various values of n. For [Formula: see text], with p prime, we give a complete spectral description and show that the spectrum is integral if and only if [Formula: see
Akhil P, Raisa DSouza
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Advanced Intelligent Discovery, EarlyView.The authors evaluated six machine‐learned interatomic potentials for simulating threshold displacement energies and tritium diffusion in LiAlO2 essential for tritium production. Trained on the same density functional theory data and benchmarked against traditional models for accuracy, stability, displacement energies, and cost, Moment Tensor Potential ...
Ankit Roy +8 more
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Concerning the Solutions of Some Lebesgue-Ramanujan-Nagell Equations
Communications in Advanced Mathematical SciencesIn this paper, we provide a complete classification of the integer solutions to the Diophantine equation $x^2 + 3^a 19^b 73^c = \lambda y^n,$ where \( \lambda = 2^{\delta} \), \( x, y \geq 1 \), \( a, b, c, \delta \geq 0 \), \( n \geq 3 \), \( \gcd(x, y)
Mustafa Aydın, Murat Alan
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Rings of integers of type $K(\pi,1)$
Documenta Mathematica, 2007 We investigate the Galois group G_S(p) of the maximal p -extension unramified outside a finite set S
openaire +3 more sources
Advanced Intelligent Discovery, EarlyView.This article investigates how persistent homology, persistent Laplacians, and persistent commutative algebra reveal complementary geometric, topological, and algebraic invariants or signatures of real‐world data. By analyzing shapes, synthetic complexes, fullerenes, and biomolecules, the article shows how these mathematical frameworks enhance ...
Yiming Ren, Guo‐Wei Wei
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Physics Letters BWe identify Narain conformal field theories (CFTs) that correspond to code lattices for quantum error-correcting codes (QECC) over integers of cyclotomic fields Q(ζp) (ζp=e2πip) for general prime p≥3. This code-lattice construction is a generalization of
Shun'ya Mizoguchi, Takumi Oikawa
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Advanced Intelligent Systems, Volume 7, Issue 3, March 2025.The use of image quality metrics in combination with machine learning enables automatic image quality assessment for fluorescence microscopy images. The method can be integrated into the experimental pipeline for optical microscopy and utilized to classify artifacts in experimental images and to build quality rankings with a reference‐free approach ...
Elena Corbetta, Thomas Bocklitz
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Graph of Orthogonal Idempotent Elements in Rings of Integers Modulo n With Spectral Clustering
Journal of MathematicsThe zero-divisor graph provides a relationship between abstract algebra and graph theory. Based on this concept, a new graph is defined using the orthogonal idempotent elements in a ring.
Shaimaa H. Ahmad +3 more
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Microrobotic Catheterization of the Ophthalmic Artery for Targeted Treatment of Retinoblastoma
Advanced Intelligent Systems, EarlyView.A microrobotic platform is presented that allows teleoperated and autonomous navigation of flow‐driven magnetic microcatheters, MagFlow, into the ophthalmic artery for superselective intra‐arterial infusion of chemotherapy to treat retinoblastoma. Extensive benchtop validations with patient‐derived biomimetic phantoms under optical and fluoroscopic ...
Artur Banach +5 more
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Advanced Intelligent Systems, EarlyView.A volatile‐switching compact model of electrochemical metallization memory cells for neuromorphic architecture is developed and validated by reliable reproduction of device characterization measurements: I−V sweeps, SET kinetics, relaxation dynamics.
Rana Walied Ahmad +4 more
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