Results 111 to 120 of about 2,443 (266)

Interpretability and Representability of Commutative Algebra, Algebraic Topology, and Topological Spectral Theory for Real‐World Data

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
wiley   +1 more source

THE TRIPLE IDENTITY GRAPH OF THE RING Z_n

Barekeng
Let  be a commutative ring with identity and  is an identity element of . The triple identity graph of the ring , represented by ), is an undirected simple graph with the vertex set .
Vika Yugi Kurniawan, Chessa Fanny Ekasiwi, Santoso Budi Wiyono   +2 more
doaj   +1 more source

Machine Learning‐Based Estimation of Experimental Artifacts and Image Quality in Fluorescence Microscopy

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
wiley   +1 more source

Factorization in rings of integer-valued rational functions

Communications in Algebra
$\DeclareMathOperator{\Int}{Int}\DeclareMathOperator{\IntR}{Int{}^\text{R}}$For a domain $D$, the ring $\Int(D)$ of integer-valued polynomials over $D$ is atomic if $D$ satisfies the ascending chain condition on principal ideals. However, even for a discrete valuation domain $V$, the ring $\IntR(V)$ of integer-valued rational functions over $V$ is ...
openaire   +2 more sources

Large‐Scale and Highly Reliable Hopfield Neural Networks Using Vertical NAND Flash Memory for the In‐Memory Associative Computing

Advanced Intelligent Systems, EarlyView.
Large‐scale Hopfield neural networks (HNNs) for associative computing are implemented using vertical NAND (VNAND) flash memory. The proposed VNAND HNN with the asynchronous update scenario achieve robust image restoration performance despite fabrication variations, while significantly reducing chip area (≈117× smaller than resistive random‐access ...
Jin Ho Chang, Jae Seung Woo, Suk‐Kang Sung, Ki‐Whan Song, Woo Young Choi   +4 more
wiley   +1 more source

A GENERALIZATION OF A JACOBSON’S COMMUTATIVITY THEOREM [PDF]

Journal of Sciences, Islamic Republic of Iran, 2000
In this paper we study the structure and the commutativity of a ring R, in which for each x,y ? R, there exist two integers depending on x,y such that [x,y]k equals x n or y n.
doaj  

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, Mehdi Krichen, Julian Raub, Christina Stathopoulos, Bruno Bartolini, Mahmut Selman Sakar   +5 more
wiley   +1 more source

Arithmetic over the rings of all algebraic integers.

Journal für die reine und angewandte Mathematik (Crelles Journal), 1986
The main result of this paper is the proof of a conjecture of David Cantor, giving a Hasse principle for the ring of all algebraic integers: an absolutely irreducible affine variety defined over a number field K has points rational over the ring of all algebraic integers if and only if it has such points locally, for every finite place v of K.
openaire   +1 more source

Compact Modeling of Volatile‐Switching Electrochemical Metallization Memory Cells by Means of the Electromotive Force

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, Solomon Amsalu Chekol, Julius Rasbach, Susanne Hoffmann‐Eifert, Stephan Menzel   +4 more
wiley   +1 more source

On Study of Multiset Dimension in Fuzzy Zero Divisor Graphs Associated with Commutative Rings

International Journal of Computational Intelligence Systems
In this paper, we introduce the concept of fuzzy zero divisor graph (FZDG) for a commutative ring $$R$$ R denoted by $${\Gamma }_{f}\left(\text{R}\right)$$ Γ f R .
Nasir Ali, Hafiz Muhammad Afzal Siddiqui, Muhammad Imran Qureshi, Manal Elzain Mohamed Abdalla, N. S. Abd EL-Gawaad, Fikadu Tesgera Tolasa   +5 more
doaj   +1 more source