Results 51 to 60 of about 28,906 (283)

Simplifying algebraic expressions with brackets: Insights into Grade 10 learners’ structure sense through a study of their errors

Pythagoras
Developing structure sense is an important part of learning algebra. We investigated learners’ structure sense of algebraic expressions involving brackets. This led us to propose the constructs surface structure sense and systemic structure sense.
Nadia M. Theba, Craig Pournara, Shikha Takker   +2 more
doaj   +1 more source

An algebraic language for RNA pseudoknots comparison

BMC Bioinformatics, 2019
Background RNA secondary structure comparison is a fundamental task for several studies, among which are RNA structure prediction and evolution. The comparison can currently be done efficiently only for pseudoknot-free structures due to their inherent ...
Michela Quadrini, Luca Tesei, Emanuela Merelli   +2 more
doaj   +1 more source

Algebraic structure of classical integrability for complex sine-Gordon

SciPost Physics, 2020
The algebraic structure underlying the classical $r$-matrix formulation of the complex sine-Gordon model is fully elucidated. It is characterized by two matrices $a$ and $s$, components of the $r$ matrix as $r=a-s$.
Jean Avan, Luc Frappat, Eric Ragoucy
doaj   +1 more source

Robust C–V Ratio Technique for Profiling Defects in Proton‐Irradiated 4H‐SiC

Advanced Electronic Materials, EarlyView.
A noise‐robust C–V ratio technique is introduced to profile radiation‐induced defects in proton‐irradiated 4H‐SiC Schottky diodes. By using analytical capacitance ratios instead of numerical differentiation, the method directly extracts trap‐density and effective trap‐energy profiles at room temperature.
Kibeom Kim, Sung Yun Woo, Jeong Hyun Moon, Young Jun Yoon, Jae Hwa Seo   +4 more
wiley   +1 more source

Modeling and Verification of 1/f Noise Mechanisms in FAPbBr3 Single‐Crystal X‐Ray Detectors

Advanced Electronic Materials, EarlyView.
We demonstratethat surface‐trap‐induced carrier number fluctuations are the dominantmechanism in FAPbBr3 Schottky devices, a conclusion supported by thedistinct defect profiles revealed by Drive‐Level Capacitance Profiling (DLCP). Throughnoise contribution decomposition, it is found that the 1/f noise of thedetector is the key noise source affecting ...
Zhongyu Yang, Qingli Zhang, Yuting Liu, Binbin Liu, Zhiping Zheng, Guangda Niu, Ling Xu   +6 more
wiley   +1 more source

A matched space for time scales and applications to the study on functions

Advances in Difference Equations, 2017
In this paper, using the algebraic structure of the Abelian group, we introduce the concept of a matched space for time scales, and we construct the algebraic structure of matched spaces to solve the closedness of time scales under non-translational ...
Chao Wang, Ravi P Agarwal, Donal O’Regan   +2 more
doaj   +1 more source

Graph Attention Neural Networks for Interpretable and Generalizable Prediction of Janus III–Vi Van Der Waals Heterostructures

Advanced Intelligent Discovery, EarlyView.
A crystal graph neural network based on the attention mechanism is proposed in this work. The model dynamically weights features through the attention mechanism, enabling precise prediction of properties of material from structural features. Here, taking Janus III–VI van der Waals heterostructures as a representative case, the properties have been ...
Yudong Shi, Zhao Zheng, Yinggan Zhang, Zhou Cui, Peng Lin, Cuilian Wen, Baisheng Sa, Zhimei Sun   +7 more
wiley   +1 more source

ALGEBRAIC STRUCTURES ON A SET OF DISCRETE DYNAMICAL SYSTEM AND A SET OF PROFILE

Barekeng
A discrete dynamical system is represented as a directed graph with graph nodes called states that can be seen on the dynamical map. This discrete dynamical system is symbolized by , where  is a finite set of states and the function g  is a function ...
Ananda Ayu Permatasari, Ema Carnia, Asep Kuswandi Supriatna   +2 more
doaj   +1 more source

On the mathematical synthesis of equational logics [PDF]

Logical Methods in Computer Science, 2011
We provide a mathematical theory and methodology for synthesising equational logics from algebraic metatheories. We illustrate our methodology by means of two applications: a rational reconstruction of Birkhoff's Equational Logic and a new equational ...
Marcelo Fiore, Chung-Kil Hur
doaj   +1 more source

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