Results 41 to 50 of about 201,103 (244)

ANALYZING STUDENTS' ABILITIES AS PROSPECTIVE TEACHERS OF MATHEMATICS IN CONSTRUCTING PROOFS: A STUDY OF GEOMETRY AND ALGEBRA [PDF]

, 2023
Soffil Widadah, Dwi Juniati
openalex   +1 more source

On the Q $Q$‐Polynomial Property of Bipartite Graphs Admitting a Uniform Structure

Journal of Combinatorial Designs, EarlyView.
ABSTRACT Let Γ ${\rm{\Gamma }}$ denote a finite, connected graph with vertex set X $X$. Fix x ∈ X $x\in X$ and let ε ≥ 3 $\varepsilon \ge 3$ denote the eccentricity of x $x$. For mutually distinct scalars { θ i * } i = 0 ε ${\{{\theta }_{i}^{* }\}}_{i=0}^{\varepsilon }$ define a diagonal matrix A * = A * ( θ 0 * , θ 1 * , … , θ ε * ) ∈ Mat X ( R ) ${A}^
Blas Fernández, Roghayeh Maleki, Štefko Miklavič, Giusy Monzillo   +3 more
wiley   +1 more source

A semi‐analytical Bayesian estimate retrieval algorithm for the inversion of remote‐sensing reflectance in optically deep and shallow waters

Limnology and Oceanography: Methods, EarlyView.
Abstract The inverse problem in remote sensing of aquatic environment consists in retrieving optically significant constituents (OSCs) from a spectral measurement of the remote sensing reflectance (Rrs$$ {R}_{\mathrm{rs}} $$).Optically significant constituent includes chlorophyll a concentration (Chl a$$ Chl\ a $$), a proxy of phytoplankton biomass ...
Soham Mukherjee, Raphaël Mabit, Simon Bélanger   +2 more
wiley   +1 more source

Reversal Asymmetry of Reciprocal Metasurface Enables Ultra‐Compact Varifocal Reflective Lens

Laser &Photonics Reviews, EarlyView.
The possibility of breaking the reversal symmetry of a lens without violating reciprocity is demonstrated. The freedom provided is utilized to realize an ultra‐compact reflective varifocal lens‐doublet based on a flat metasurface lens and a piezoelectric actuated micromirror.
Christopher A. Dirdal, Jesil Jose, Firehun Tsige Dullo, Grégory Bouquet, Paul C. V. Thrane, Zeljko Skokic, Johannes Skaar   +6 more
wiley   +1 more source

A Geometric Interpretation for the Algebraic Properties of Second‐Order Ordinary Differential Equations

Mathematical Methods in the Applied Sciences, Volume 48, Issue 6, Page 6912-6917, April 2025.
ABSTRACT Nowadays, a substantial portion of investigations concerning the symmetry analysis of differential equations predominantly adhere to a framework comprising the following key procedures: (i) the derivation of symmetries, (ii) the determination of an optimal system, (iii) the utilization of these symmetries to construct invariants or ...
A. Paliathanasis, S. Moyo, P. G. L. Leach   +2 more
wiley   +1 more source

Exploration of Mathematical Concepts of Numbers, Algebra and Geometry in the Qur'an

Proceeding of International Conference of Religion, Health, Education, Science and Technology
The Qur'an is a source of knowledge regarding various dimensions of life and the universe created by Allah SWT. The relationship between mathematics and the Koran is very close in everyday life. This research is library research and aims to identify the concepts of Numbers, Algebra and Geometry in the Al-Qur'an.
M. Arif Rohman Al Qodiri, Moh. Atikurrahman, Dian Noer Asy'Ari   +2 more
openaire   +1 more source

How Far Are Two Symmetric Matrices From Commuting? With an Application to Object Characterisation and Identification in Metal Detection

Mathematical Methods in the Applied Sciences, EarlyView.
ABSTRACT Examining the extent to which measurements of rotation matrices are close to each other is challenging due measurement noise. To overcome this, data is typically smoothed, and the Riemannian and Euclidean metrics are applied. However, if rotation matrices are not directly measured and are instead formed by eigenvectors of measured symmetric ...
P. D. Ledger, W. R. B. Lionheart, J. Elgy   +2 more
wiley   +1 more source

Limit Cycles of Continuous–Discontinuous Piecewise Linear Hamiltonian Systems in ℝ2$$ {\mathbb{R}}^2 $$ Separated by the Curve y=sinx$$ y=\sin x $$

Mathematical Methods in the Applied Sciences, EarlyView.
ABSTRACT These last decades piecewise differential systems have been studied intensively, mainly due to their applications. Inside the study of the dynamics of these differential systems, the limit cycles, that is, the isolated periodic orbits inside the set of all periodic orbits of the system, play a main role.
N. Chachapoyas, Jaume Llibre, I. S. Meza‐Sarmiento, J. Vidarte   +3 more
wiley   +1 more source

Algebras, Projective Geometry, Mathematical Logic, and Constructing the World: Intersections in the Philosophy of Mathematics of A. N. Whitehead

Historia Mathematica, 2002
From the late 1890s on, Alfred North Whitehead (1861--1947) was one of the key figures in the attempt to provide logical foundations to pure and applied mathematics. In this paper, I. Grattan-Guinness explores all the main issues at stake from the perspective of the development of Whitehead's thought.
openaire   +2 more sources

Asymptotic Analysis of the Static Bidomain Model for Pulsed Field Cardiac Ablation

Mathematical Methods in the Applied Sciences, EarlyView.
ABSTRACT Cardiac arrhythmias are caused by faulty electrical signals in the heart, which lead to chaotic wave propagation and impaired cardiac function. This work focuses on a non‐thermal ablation technique based on electroporation (EP), a promising method for treating arrhythmias, called pulsed field ablation (PFA).
Annabelle Collin, Simone Nati Poltri, Clair Poignard   +2 more
wiley   +1 more source