Results 91 to 100 of about 36,842 (268)

BAXTER ALGEBRAS AND DIFFERENTIAL ALGEBRAS

Differential Algebra and Related Topics, 2002
A Baxter algebra is a commutative algebra $A$ that carries a generalized integral operator. In the first part of this paper we review past work of Baxter, Miller, Rota and Cartier in this area and explain more recent work on explicit constructions of free Baxter algebras that extended the constructions of Rota and Cartier.
openaire   +2 more sources

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

Evaluating the Operational Impact of Automated Endpoint Compliance and Security Monitoring in Linux Environments

Journal of Cybersecurity and Privacy
Ensuring ongoing endpoint security compliance across diverse, hybrid IT infrastructures poses a continual operational challenge, especially in enterprise Linux systems, where manual verification methods are difficult to scale and prone to inconsistency ...
Zlatan Morić, Mislav Balković, Donis Isić   +2 more
doaj   +1 more source

Overcoming the Nyquist Limit in Molecular Hyperspectral Imaging by Reinforcement Learning

Advanced Intelligent Discovery, EarlyView.
Explorative spectral acquisition guide automatically selects informative spectral bands to optimize downstream tasks, outperforming full‐spectrum acquisition. The selected hyperspectral data are used for tasks such as unmixing and segmentation. BandOptiNet encodes selection states and outputs optimal bands to guide spectral acquisition. Recent advances
Xiaobin Tang, Yongqing Zhang, Xinyu Deng, Hyeon Jeong Lee, Delong Zhang   +4 more
wiley   +1 more source

Network Position in Global Trade Systems and Cyberattack Risk: Evidence from Country-Level Trade Networks, 2010–2020

Systems
Cyberattacks increasingly generate systemic economic and geopolitical effects in an era of dense global interdependence. While prior research emphasises geopolitical rivalry, institutional capacity, and technological sophistication as determinants of ...
Zlatan Morić, Siniša Urošev, Robert Kopal   +2 more
doaj   +1 more source

Algebraic Databases

Theory and Applications of Categories, 2017
Databases have been studied category-theoretically for decades. The database schema -- whose purpose is to arrange high-level conceptual entities -- is generally modeled as a category or sketch. The data itself, often called an instance, is generally modeled as a set-valued functor, assigning to each conceptual entity a set of examples.
Patrick Schultz, David I. Spivak, Christina Vasilakopoulou, Ryan Wisnesky   +3 more
openaire   +3 more sources

Pre‐Curved Everting Robots With Embedded Steering Intelligence Fabricated by CO2 Laser Welding

Advanced Intelligent Systems, EarlyView.
Design and experimental demonstration of a laser welded growing robot for anatomically guided navigation. The robot follows an aortic arch phantom entering the branchiocephalic branch through steering by design. The figure shows the physical phantom setup, CAD defined weld geometry and full robot eversion.
Brandon Saldarriaga, Panagiotis Kalozoumis, Panagiotis Vartholomeos, Carlo Seneci, Kawal Rhode, Christos Bergeles   +5 more
wiley   +1 more source

Construction of Weakly Self-Dual Normal Bases and Its Aplication in Orthogonal Transform Encoding Cyclic Codes

EPJ Web of Conferences, 2014
In 1986 Fumy proposed a simplified approach to calculate inverse discrete Fourier transform (IDFT) using normal bases and its dual in encoding cyclic codes in the spectral domain.
Irwansyah , Muchlis Ahmad, Alamsyah Intan Muchtadi, Suprijanto Djoko, Barra Aleams   +4 more
doaj   +1 more source

Algebras of quotients of path algebras

Journal of Algebra, 2008
Leavitt path algebras are shown to be algebras of right quotients of their corresponding path algebras. Using this fact we obtain maximal algebras of right quotients from those (Leavitt) path algebras whose associated graph satisfies that every vertex connects to a line point (equivalently, the Leavitt path algebra has essential socle).
openaire   +3 more sources

Programmable Flocks: Hierarchical Swarm Control via Dynamic Parameter Injection

Advanced Intelligent Systems, EarlyView.
We present a method for the control of robot swarms which allows the shaping and the translation of patterns of simple robots (“smart particles”), using two types of devices. These two types represent a hierarchy: a larger group of simple, oblivious robots (which we call the workers) that is governed by simple local attraction forces and a smaller ...
Vivek Shankar Varadharajan, Giovanni Beltrame   +1 more
wiley   +1 more source