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Background: The transition from arithmetic to algebra remains a persistent challenge in early mathematics education. While structural awareness is widely recognised as foundational to this shift, the developmental mecha...

Abstract Digital medicine leverages digital biomarkers by algebraically integrating multiple biomarkers to reflect disease status. Colorimetric analysis offers an intuitive readout, but colorimetric-based digital medicin...

In this paper, a numerical method for solving linear fractional differential equations using Chebyshev wavelets matrices has been presented. Fractional differential equations have received great attention in the recent p...

The condition for invariance under a translation of the coordinate system of the Verdet tensor and the Verdet constant, calculated via quantum chemical methods using gaugeless basis sets, is expressed by a vanishing sum ...

A novel approach to approximately solving the restricted-control LQR problem online is substantiated and applied in two case-studies.  The first example is a one-dimensional system whose exact solution is known.  The o...

Inverse rising factorial moments [Formula: see text] are fundamental quantities for positive integer-valued random variables, with broad applications in probability and combinatorics. Despite their importance, there is a...

There are two main activities in Component-Based Development: component development, where we build libraries for general use, and component integration, where we assemble an application from existing components. In this...

Previous article Next article An Algorithm for Least-Squares Estimation of Nonlinear ParametersDonald W. MarquardtDonald W. Marquardthttps://doi.org/10.1137/0111030PDFPDF PLUSBibTexSections ToolsAdd to favoritesExport Ci...

This paper provides a theoretical framework for analysis of consensus algorithms for multi-agent networked systems with an emphasis on the role of directed information flow, robustness to changes in network topology due ...

A basic problem in computer vision is to understand the structure of a real world scene given several images of it. Techniques for solving this problem are taken from projective geometry and photogrammetry. Here, the aut...

The particle swarm is an algorithm for finding optimal regions of complex search spaces through the interaction of individuals in a population of particles. This paper analyzes a particle's trajectory as it moves in disc...

Materias / palabras clave: mathematics, algebraic methods, number theory, geometries, statistics, partial differential equations; Science: Mathematics

Materias / palabras clave: graph theory, discrete mathematics, combinatorics, algebraic combinatorics, permutation groups; Science: Mathematics: Probabilities. Mathematical statistics; Technology: Technology (General): Industrial engineering. Mana...

Materias / palabras clave: algebraic logic, boolean-valued fuzzy sets, fuzzy model theory, l-fuzzy sets, rough sets, states of fuzzy structures; Technology: Technology (General): Industrial engineering. Management engineering: Applied mathematics....