Results 41 to 50 of about 688 (217)
This work presents a systematic and complete generalization of Operational Mathematics and Meta-Operational Mathematics to the framework of exterior algebra (Grassmann algebra). The essential features of exterior algebra—the anticommutativity of the wedge product ω∧η = (−1)deg(ω) deg(η)η∧ω, the grading structure, nilpotency (the square of any odd ...
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InfoScience, EarlyView.Traditional light‐analyzing tools, known as spectrometers, are typically too bulky and expensive to fit into portable electronics like smartphones or wearables. In this study, we developed a microscopic, high‐performance spectrometer using a material called Indium Selenide combined with smart algorithms to accurately analyze light from the visible to ...
Jing Chen +8 more
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Operational Mathematics in Operator Algebras: A Complete Extension from Numbers to Operators
This work establishes a comprehensive theory of Operational Mathematics within the framework of operator algebras, including both commutative and noncommutative cases. The central idea is to extend the number of repetitions of basic mathematical operations (addition, multiplication, exponentiation, tetration, and higher-order hyperoperations) from ...
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Stable Cuts, NAC‐Colourings and Flexible Realisations of Graphs
Journal of Graph Theory, EarlyView.ABSTRACT A (2‐dimensional) realisation of a graph G $G$ is a pair ( G , p ) $(G,p)$, where p $p$ maps the vertices of G $G$ to R 2 ${{\mathbb{R}}}^{2}$. A realisation is flexible if it can be continuously deformed while keeping the edge lengths fixed, and rigid otherwise.
Katie Clinch +5 more
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Precision Restoration to Minimize Soil Loss in a Watershed in the Atlantic Forest Domain
Land Degradation &Development, EarlyView.ABSTRACT The Turvo River Watershed, located in the Zona da Mata region of Minas Gerais and part of the Doce River Basin, faces serious problems of erosion and soil degradation, which compromise and reduce the quality of local water resources. Given this scenario, it is essential to implement environmental recovery strategies that prioritize the ...
Rodrigo Nobre Santana +6 more
wiley +1 more source
This monograph presents a complete, self-contained extension of Operational Mathematics– the theory of extending the repetition count of basic mathematical operations (addition,multiplication, exponentiation, tetration, and higher hyperoperations) from natural numbers to integers, rational numbers, real numbers, and complex numbers– to the setting of ...
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Land Degradation &Development, EarlyView.ABSTRACT In coal‐grain composite regions, intensive underground coal extraction causes large‐scale surface subsidence; under shallow groundwater conditions, these subsided landscapes rapidly transform former croplands into persistent open water bodies, creating long‐term inundated landscapes. Passive water‐retention strategies in these areas often rely
Ruihao Cui +6 more
wiley +1 more source
An efficient deep learning model for brain tumour detection with privacy preservation
CAAI Transactions on Intelligence Technology, EarlyView., 2023 Abstract Internet of medical things (IoMT) is becoming more prevalent in healthcare applications as a result of current AI advancements, helping to improve our quality of life and ensure a sustainable health system. IoMT systems with cutting‐edge scientific capabilities are capable of detecting, transmitting, learning and reasoning.
Mujeeb Ur Rehman +8 more
wiley +1 more source
Meta-Operational Mathematics on Operator Algebras: From Commutative to Noncommutative Settings
This paper develops a systematic extension of Meta-Operational Mathematics to the realm of operator algebras, encompassing both commutative and noncommutative settings. We elevate operations on C*-algebras and von Neumann algebras to the status of independent mathematical objects, and study meta-operations---composition, involution, exponentiation ...
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Theory of Supercritical Coupling and Generalized Bound States in the Continuum
Laser &Photonics Reviews, EarlyView.We develop a general theory of supercritical coupling and generalized bound states in the continuum (gBICs), revealing how interference between radiative and absorptive channels enables quality factors beyond conventional material‐loss limits. The framework unifies non‐Hermitian mode coupling, causality‐driven reactive interactions, and interference ...
Sergio Balestrieri +3 more
wiley +1 more source