Results 41 to 50 of about 193,673 (231)
In this paper, an integral identity is developed using the framework of multiplicative tempered Riemann-Liouville fractional integrals. By utilizing the identity several Newton-type inequalities are established for twice *differentiable multiplicatively ...
Muhammad Samraiz +3 more
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Deciphering Shale Gas Production Dynamics: A Fractal Theory Approach
Shale gas production dynamics display strong heterogeneity and nonlinearity, posing challenges to conventional analytical methods. This study applies fractal theory to analyze long-term production data from 178 global shale gas fields by calculating ...
Baolei Liu +3 more
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FracL: A Tool for Characterizing the Fractality of Landscape Gradients from a New Perspective
The past several years have witnessed much progress in landscape ecology and fractal analysis. In landscape ecology, the gradient model of landscape patterns (i.e., landscape gradient) has emerged as a new operating paradigm, where most landscape metrics
Peichao Gao +5 more
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Monitoring of dry sliding wear using fractal analysis [PDF]
Reliable online monitoring of wear remains a challenge to tribology research as well as to the industry. This\ud paper presents a new method for monitoring of dry sliding wear using digital imaging and fractal analysis.\ud Fractal values, namely fractal ...
Korsten, Maarten +2 more
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Analysis of inverse problem for pseudo-hyperbolic equation under periodic boundary condition
This research paper investigates an inverse problem involving time-dependent unknown coefficients in a one-dimensional nonlinear pseudo-hyperbolic equation with nonlocal boundary conditions. The Fourier method is employed, and the convergence, uniqueness,
İrem Bağlan +4 more
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Application of the method of fractal analysis to the study of metal structure [PDF]
The traditional methods for geometric estimation of the shape of various objects, including materials science, based on approximate approximation of the structure of the object under study by geometric figures, for example, lines, segments, planes ...
Shyofel O.O.
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Mathematical Modeling of Layered Nanocomposite of Fractal Structure
A model of a layered hierarchically constructed composite is presented, the structure of which demonstrates the properties of similarity at different scales.
Sergey Korchagin +5 more
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Fractal Analysis of Pi Normality [PDF]
\begin{abstract} $π$, the ratio between a circumference and is radius, is an irrational transcendental number. Fractal analysis is used here to show that $π$\textquoteright{s} digit sequence corresponds to a uniformly distributed random succession of independent decimal digits, and that these properties get clearer as the number of digits in the series
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Fractals Analysis of Cardiac Arrhythmias [PDF]
Heart rhythms are generated by complex self-regulating systems governed by the laws of chaos. Consequently, heart rhythms have fractal organization, characterized by self-similar dynamics with long-range order operating over multiple time scales. This allows for the self-organization and adaptability of heart rhythms under stress.
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(1) Background: Fractal analysis has been used as a mathematical method for studying the complexity of fractal structures such as trabecular bone that look similar at different scales.
Alessandra Valletta +6 more
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