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Vincenzo Manca
A symbolic analysis of Archimedes?s periodical number system is developed, from which a natural link emerges with the modern positional number systems with zero. After the publication of Fibonacci?s Liber Abaci, the decimal Indo-Arabic positional system ...
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P. Ashok and B. Bala Tripura Sundari
Stochastic circuits are used in applications that require low area and power consumption. The computing performed using these circuits is referred to as Stochastic computing (SC). The arithmetic operations in this computing can be realized using minimum ...
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Guan-Yuan Zhao, Wei Liu, Rui Su and Jia-Cheng Zhao
A beam finite element model considering the slip, shear lag, and time-dependent effects of steel?concrete composite box beams have been proposed in this study. The element is employed to a one-dimensional analytical method that is solved involving an exp...
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Rick Voßwinkel and Klaus Röbenack
This paper deals with systematic approaches for the analysis of stability properties and controller design for nonlinear dynamical systems. Numerical methods based on sum-of-squares decomposition or algebraic methods based on quantifier elimination are u...
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Rashmi Radha and Mritunjay Kumar Singh
In this study, a two-dimensional contaminant transport model with time-varying axial input sources subject to non-linear sorption, decay, and production is numerically solved to find the concentration distribution profile in a heterogeneous, finite soil ...
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Vagelis Plevris, George Papazafeiropoulos and Alejandro Jiménez Rios
In an age where artificial intelligence is reshaping the landscape of education and problem solving, our study unveils the secrets behind three digital wizards, ChatGPT-3.5, ChatGPT-4, and Google Bard, as they engage in a thrilling showdown of mathematic...
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Nicolas Santamaria-Henao, Oscar Danilo Montoya and César Leonardo Trujillo-Rodríguez
The problem regarding the optimal placement and sizing of different FACTS (flexible alternating current transmission systems) in electrical distribution networks is addressed in this research by applying a master?slave optimization approach. The FACTS an...
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Tao Song, Huanyu Liao and Ganesh Subbarayan
In analysis of problems with parametric spline boundaries that are immersed or inserted into an underlying domain, the discretization on the underlying domain usually does not conform to the inserted boundaries. While the fixed underlying discretization ...
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Baihan Lin
The absence of a conventional association between the cell?cell cohabitation and its emergent dynamics into cliques during development has hindered our understanding of how cell populations proliferate, differentiate, and compete (i.e., the cell ecology)...
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Mohamed Ghorab, Libing Yang, Evgueniy Entchev, Euy-Joon Lee, Eun-Chul Kang, Yu-Jin Kim, Sangmu Bae, Yujin Nam and Kwonye Kim
Hybrid renewable energy systems are subject to extensive research around the world and different designs have found their way to the market and have been commercialized. These systems usually employ multiple components, both renewable and conventional, c...
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