Design of Monopole Antenna Based on Fractal Geometry by Zhao Yuanqing, Qiu Jinghui, Wang Wei

“…This paper presents a circular disc monopole antenna based on fractal geometry. The antenna is designed to be applied in UWB systems. …”
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Fractal multiwavelets related to the cantor dyadic group by W. Christopher Lang

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Extraction of Affine Invariant Features Using Fractal by Jianwei Yang, Guosheng Cheng, Ming Li

“…An approach based on fractal is presented for extracting affine invariant features. …”
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New Approach to Fractal Approximation of Vector-Functions by Konstantin Igudesman, Marsel Davletbaev, Gleb Shabernev

“…This paper introduces new approach to approximation of continuous vector-functions and vector sequences by fractal interpolation vector-functions which are multidimensional generalization of fractal interpolation functions. …”
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The Fractal Geometry of the Cosmic Web and Its Formation by Jose Gaite

“…The cosmic web structure is studied with the concepts and methods of fractal geometry, employing the adhesion model of cosmological dynamics as a basic reference. …”
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Long Memory and Fractality in the Universe of Volatility Indices by Bikramaditya Ghosh, Elie Bouri

“…Unlike previous studies that consider the Chicago Board of Options Exchange (CBOE) implied volatility index (VIX), we examine long memory and fractality in the universe of nine CBOE volatility indices. …”
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Wearable fractal integrated antennas for medical applications by Reha Abdelati, Benkhadda Oumaima, Harrou Meryama, Saih Mohamed

“…The aim of this study is to summarize recent research carried out in prestigious databases, focusing on the specificity and effectiveness of wearable fractal antennas used in medical applications. This synthesis offers valuable insights for researchers and practitioners aiming to develop and implement wearable integrated fractal antennas in the medical field, ultimately improving healthcare and patient outcomes.…”
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On Topological Indices of Fractal and Cayley Tree Type Dendrimers by Muhammad Imran, Abdul Qudair Baig, Waqas Khalid

“…Furthermore, we give closed analytical results of these indices for fractal trees and Cayley trees.…”
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How to Calculate the Goodness-of-Fit of a Fractal Dimension by Fritz Albregtsen

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The Fractal Dimension of River Length Based on the Observed Data by Ni Zhihui, Wu Lichun, Wang Ming-hui, Yi Jing, Zeng Qiang

“…Although the phenomenon that strictly meets the constant dimension fractal form in the nature does not exist, fractal theory provides a new way and means for the study of complex natural phenomena. …”
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Fractal Tilings Based on Successive Adjacent Substitution Rule by Peichang Ouyang, Xiaosong Tang, Kwokwai Chung, Tao Yu

“…A fractal tiling or f-tiling is a tiling which possesses self-similarity and the boundary of which is a fractal. f-tilings have complicated structures and strong visual appeal. …”
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Synthesizing fractal images by means of shift dynamical systems by Jonas Valantinas, Rokas Valantinas, Tomas Žumbakis

“… In this paper, the adaptation problem of the time escape algorithm to the special class of fractal images (attractors of iterated function systems) and the necessary mathematical context are ana­lysed. …”
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Prediction and observation of topological modes in fractal nonlinear optics by Boris A. Malomed

“…Work24 reports the prediction and creation of various forms of the corner modes in a HOTI with a fractal transverse structure, represented by the Sierpiński gasket (SG). …”
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Fractal Control and Synchronization of the Discrete Fractional SIRS Model by Miao Ouyang, Yongping Zhang, Jian Liu

“…The discrete SIRS models with the Caputo deltas sense and the theories of fractional calculus and fractal theory provide a reasonable and sensible perspective of studying infectious disease phenomenon. …”
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A New Model of Ultracapacitors Based on Fractal Fundamentals by Xiaodong Zhang, Yi Sun, Jia Song, Aijun Wu, Xiaoyan Cui

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Fractal Acoustic Metamaterials with Subwavelength and Broadband Sound Insulation by Yu Liu, Meng Chen, Wenshuai Xu, Tao Yang, Dongliang Pei, Heng Jiang, Yuren Wang

“…We construct new fractal acoustic metamaterials by coiling up space, which can allow subwavelength-scale and broadband sound insulation to be achieved. …”
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CPW-Fed Fractal Slot Antenna for UWB Application by Hou Zhang, Hai-Yang Xu, Bo Tian, Xian-Feng Zeng

“…A novel printed ultrawideband (UWB) CPW-fed Koch fractal slot antenna is proposed. The UWB bandwidth is largely enhanced by the three-iteration Koch fractal slot whose extrusive angle is 900 instead of 600 to obtain better convoluted shape and self-similarity. …”
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Analysis of a Fractal Boundary: The Graph of the Knopp Function by Mourad Ben Slimane, Clothilde Mélot

“…A usual classification tool to study a fractal interface is the computation of its fractal dimension. …”
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Ultra-Wideband Fractal Ring Antenna for Biomedical Applications by Ilyas Saleem, Umair Rafique, Shobit Agarwal, Hüseyin Şerif SAVCI, Syed Muzahir Abbas, Subhas Mukhopadhyay

“…In this paper, an efficient, coplanar waveguide (CPW)-fed printed circular ring fractal ultra-wideband (UWB) antenna is presented for biomedical applications. …”
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Surface Evaluation by Estimation of Fractal Dimension and Statistical Tools by Vlastimil Hotar, Petr Salac

“…The text presents application of fractal geometry (fractal dimension) for complex surface analysis in combination with standard roughness parameters (statistical tool).…”
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