Results 51 to 60 of about 1,079,946 (348)

Gröbner bases over algebraic number fields [PDF]

Proceedings of the 2015 International Workshop on Parallel Symbolic Computation, 2015
Although Buchberger's algorithm, in theory, allows us to compute Gr bner bases over any field, in practice, however, the computational efficiency depends on the arithmetic of the ground field. Consider a field $K = \mathbb{Q}( )$, a simple extension of $\mathbb{Q}$, where $ $ is an algebraic number, and let $f \in \mathbb{Q}[t]$ be the minimal ...
Boku, Dereje Kifle, Fieker, Claus, Decker, Wolfram, Steenpass, Andreas   +3 more
openaire   +2 more sources

Recent Advancements in Topic Modeling Techniques for Healthcare, Bioinformatics, and Other Potential Applications

Advanced Intelligent Systems, EarlyView.
This article offers a comprehensive review of topic modeling techniques, tracing their evolution from inception to recent developments. It explores methods such as latent Dirichlet allocation, latent semantic analysis, non‐negative matrix factorization, probabilistic latent semantic analysis, Top2Vec, and BERTopic, highlighting their strengths ...
Pratima Kumari, Sachin Kadian, Mukund Vora, Pradyumna Vemuri, Sumit Kumar, Om Prakash Verma, Roger J. Narayan   +6 more
wiley   +1 more source

The number of rational points of some classes of algebraic varieties over finite fields

Open Mathematics
Let Fq{{\mathbb{F}}}_{q} be the finite field of characteristic pp and Fq*=Fq\{0}{{\mathbb{F}}}_{q}^{* }\left={{\mathbb{F}}}_{q}\backslash \left\{0\right\}.
Zhu Guangyan, Fang Yingjue, Luo Yuanyuan, Lin Zongbing   +3 more
doaj   +1 more source

A note on Fibonacci matrices of even degree

International Journal of Mathematics and Mathematical Sciences, 2001
This paper presents a construction of m-by-m irreducible Fibonacci matrices for any even m. The proposed technique relies on matrix representations of algebraic number fields which are an extension of the golden section field.
Michele Elia
doaj   +1 more source

Deformations of vector-scalar models

Journal of High Energy Physics, 2018
Abelian vector fields non-minimally coupled to uncharged scalar fields arise in many contexts. We investigate here through algebraic methods their consistent deformations (“gaugings”), i.e., the deformations that preserve the number (but not necessarily ...
Glenn Barnich, Nicolas Boulanger, Marc Henneaux, Bernard Julia, Victor Lekeu, Arash Ranjbar   +5 more
doaj   +1 more source

A High‐Precision and Robust Geometric Relationships‐Inspired Neural Network for the Inverse Kinematic Modeling of the Tendon‐Actuated Continuum Manipulator

Advanced Intelligent Systems, EarlyView.
An online learning control framework with a data cache pool based on a constant‐curvature model inspired neural network (CCMINN) model to obtain the inverse kinematics model of tendon‐actuated continuum manipulators is proposed. Combining the fast‐converging CCMINN with an online learning control framework enables high‐precision and highly robust ...
Jinyu Duan, Jianxiong Hao, Pengyu Du, Bo Zhang, Zhiqiang Zhang, Chaoyang Shi   +5 more
wiley   +1 more source

Discrete Cartesian Coordinate Transformations: Using Algebraic Extension Methods

Applied Sciences
It is shown that it is reasonable to use Galois fields, including those obtained by algebraic extensions, to describe the position of a point in a discrete Cartesian coordinate system in many cases. This approach is applicable to any problem in which the
Aruzhan Kadyrzhan, Dinara Matrassulova, Yelizaveta Vitulyova, Ibragim Suleimenov   +3 more
doaj   +1 more source

Robotic Needle Steering for Percutaneous Interventions: Sensing, Modeling, and Control

Advanced Intelligent Systems, EarlyView.
This review examines recent advances in robotic needle steering for percutaneous interventions, highlighting closed‐loop sensing, physics‐informed tissue‐needle interaction modeling, and real‐time trajectory planning and control. It synthesizes innovations in deep learning, fiber‐optic feedback, and adaptive control strategies, and outlines emerging ...
Fangjiao Zhao, Ruixue Xu, Wujun Zhao, Xi‐Ming Sun, Yu Sun, Changsheng Dai   +5 more
wiley   +1 more source

Acoustic realization of projective mirror Chern insulators

Communications Physics, 2023
Symmetry plays a key role in classifying topological phases. Recent theory shows that in the presence of gauge fields, the algebraic structure of crystalline symmetries needs to be projectively represented, which brings extra chance for topological ...
Tianzi Li, Luohong Liu, Qicheng Zhang, Chunyin Qiu   +3 more
doaj   +1 more source

Predicting Postresection Colorectal Liver Metastases Recurrence Using Advanced Graph Neural Networks with Explainability and Causal Inference

Advanced Intelligent Systems, EarlyView.
This study introduces a framework that combines graph neural networks with causal inference to forecast recurrence and uncover the clinical and pathological factors driving it. It further provides interpretability, validates risk factors via counterfactual and interventional analyses, and offers evidence‐based insights for treatment planning ...
Jubair Ahmed, Md. Abdur Rahman, Mohaimenul Azam Khan Raiaan, Sami Azam   +3 more
wiley   +1 more source