Results 171 to 180 of about 309,815 (270)

Algebraic Geometry

, 2012
There are, algebraically speaking, three fundamental operations in arithmetic: 1) Addition and subtraction, 2) Multiplication and division, 3) finding powers and roots. Subtraction is actually negative addition; division is multiplication by the reciprocal of the divisor; and a root is a fractional power.
openaire   +1 more source

Topological Graph Neural Networks: A Novel Approach for Geometric Deep Learning

Applied AI Letters, Volume 7, Issue 2, June 2026.
This graphical abstract illustrates the Topological Graph Neural Network (TopGNN) architecture. It demonstrates a parallel processing approach where an input graph is simultaneously analyzed by a standard GNN Encoder to capture local node features and by Persistent Homology to extract global topological features (like cycles and voids), visualized as a
Amarjeet, Anurag Sinha, Khalid Hussain, Wasim Ahmad Bhat, Sudhanshu Maurya, Mohammad Nadeem Ahmed, Mohammad Rashid Hussain, S. Khalid   +7 more
wiley   +1 more source

Quadratic Motion Polynomials with Irregular Factorizations. [PDF]

Adv Appl Clifford Algebr
Thimm DA, Li Z, Schröcker HP, Siegele J.   +3 more
europepmc   +1 more source

Optimizing Large‐Scale Mathematical Assessments: Leveraging Hierarchical Attribute Structures and Diagnostic Classification Models for Enhanced Student Diagnostics

Educational Measurement: Issues and Practice, Volume 45, Issue 2, Summer 2026.
Abstract Diagnostic classification models (DCMs) assess students’ mastery of cognitive attributes to provide personalized ability profiles. Retrofitting DCMs to large‐scale mathematics assessments usually relies on inferred Q‐matrices, which can reduce accuracy and diagnostic value.
Farshad Effatpanah, Olga Kunina‐Habenicht, Steve Bernard, Caroline Hornung, Philipp Sonnleitner   +4 more
wiley   +1 more source

Relativistic triangle-curvature computing for federated HIV-1 protein-sequence monitoring. [PDF]

Sci Rep
Villalba-Díez J, González-Marcos A.
europepmc   +1 more source

Symbol‐Level GRAND‐Assisted Detection for Polar‐Coded Spatial Modulation in MIMO Systems

International Journal of Communication Systems, Volume 39, Issue 7, 10 May 2026.
This research presents an integrated polar‐coded spatial modulation (PCSM) transceiver scheme for MIMO transmission over Rayleigh fading channels. The proposed architecture employs linear spatial signal processing for antenna and symbol estimation, followed by symbol‐level guessing random additive noise decoding (symbol‐level GRAND)–assisted detection ...
Abhilasha Gautam, Prabhat Thakur, Ghanshyam Singh   +2 more
wiley   +1 more source

Geometric and arithmetic characterization of [Formula: see text]-module flatness with applications to tensor products. [PDF]

PLoS One
Tang JG, Lei HR, Liu M, Peng JY.
europepmc   +1 more source

Isoperimetric inequalities on slabs with applications to cubes and Gaussian slabs

Communications on Pure and Applied Mathematics, Volume 79, Issue 4, Page 1012-1072, April 2026.
Abstract We study isoperimetric inequalities on “slabs”, namely weighted Riemannian manifolds obtained as the product of the uniform measure on a finite length interval with a codimension‐one base. As our two main applications, we consider the case when the base is the flat torus R2/2Z2$\mathbb {R}^2 / 2 \mathbb {Z}^2$ and the standard Gaussian measure
Emanuel Milman
wiley   +1 more source

Beyond Euclid: an illustrated guide to modern machine learning with geometric, topological, and algebraic structures. [PDF]

Mach Learn Sci Technol
Papillon M, Sanborn S, Mathe J, Cornelis L, Bertics A, Buracas D, J Lillemark H, Shewmake C, Dinc F, Pennec X, Miolane N.   +10 more
europepmc   +1 more source

Advection‐Pressure Splitting Schemes Applied to a Non‐Conservative 1D Blood Flow Model With Transport for Arteries and Veins

International Journal for Numerical Methods in Fluids, Volume 98, Issue 4, Page 398-432, April 2026.
We introduce new efficient and accurate first order finite volume‐type numerical schemes, for the non‐conservative one‐dimensional blood flow equations with transport, taking into account different velocity profiles. The framework is the flux‐vector splitting approach of Toro and Vázquez‐Cendón (2012), that splits the system in two subsystems of PDEs ...
Alessandra Spilimbergo, Eleuterio F. Toro, Annunziato Siviglia, Lucas O. Müller   +3 more
wiley   +1 more source