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Relevant bibliographies by topics / Fractal modelling

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Academic literature on the topic 'Fractal modelling'

Author: Grafiati

Published: 4 June 2021

Last updated: 2 November 2024

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Journal articles on the topic "Fractal modelling"

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Bolshakov, V. I., V. M. Volchuk, M. A. Kotov, and D. P. Fisunenko. "Aspects of fractal modelling application." Physical Metallurgy and Heat Treatment of Metals 2, no. 2 (97) (2022): 7–18. http://dx.doi.org/10.30838/j.pmhtm.2413.050722.7.858.

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Purpose of research. More than 40 years ago, the theory of fractals applied to model of materials structure and properties firstly. During this time in many publications, the connection between the fractal (fractional) dimension of various materials structural elements and their physical and mechanical properties have confirmed. But unified approach to the organisation of fractal modelling not defined. This article analyses some steps of fractal modelling in order to assess their application to specific cases of predicting quality criteria for metals and concretes. Results. One of the fractal

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Chen, Yanguang. "Characterizing Growth and Form of Fractal Cities with Allometric Scaling Exponents." Discrete Dynamics in Nature and Society 2010 (2010): 1–22. http://dx.doi.org/10.1155/2010/194715.

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Fractal growth is a kind of allometric growth, and the allometric scaling exponents can be employed to describe growing fractal phenomena such as cities. The spatial features of the regular fractals can be characterized by fractal dimension. However, for the real systems with statistical fractality, it is incomplete to measure the structure of scaling invariance only by fractal dimension. Sometimes, we need to know the ratio of different dimensions rather than the fractal dimensions themselves. A fractal-dimension ratio can make an allometric scaling exponent (ASE). As compared with fractal di

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LAI, PENG-JEN. "HOW TO MAKE FRACTAL TILINGS AND FRACTAL REPTILES." Fractals 17, no. 04 (2009): 493–504. http://dx.doi.org/10.1142/s0218348x09004533.

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Intensive research on fractals began around 1980 and many new discoveries have been made. However, the connection between fractals, tilings and reptiles has not been thoroughly explored. This paper shows that a method, similar to that used to construct irregular tilings in ℜ2 can be employed to construct fractal tilings. Five main methods, including methods in Escher style paintings and the Conway criterion are used to create the fractal tilings. Also an algorithm is presented to generate fractal reptiles. These methods provide a more geometric way to understand fractal tilings and fractal rep

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LAPIDUS, MICHEL L. "FRACTALS AND VIBRATIONS: CAN YOU HEAR THE SHAPE OF A FRACTAL DRUM?" Fractals 03, no. 04 (1995): 725–36. http://dx.doi.org/10.1142/s0218348x95000643.

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We study various aspects of the question “Can one hear the shape of a fractal drum?”, both for “drums with fractal boundary” (or “surface fractals”) and for “drums with fractal membrane” (or “mass fractals”).

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CHEN, YAN-GUANG. "FRACTAL TEXTURE AND STRUCTURE OF CENTRAL PLACE SYSTEMS." Fractals 28, no. 01 (2020): 2050008. http://dx.doi.org/10.1142/s0218348x20500085.

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The boundaries of central place models proved to be fractal lines, which compose fractal texture of central place networks. However, the fractal texture cannot be verified by empirical analyses based on observed data. On the other hand, fractal structure of central place systems in the real world can be empirically confirmed by positive studies, but there are no corresponding models. The spatial structure of classic central place models bears Euclidean dimension [Formula: see text] rather than fractal dimensions [Formula: see text]. This paper is devoted to deriving structural fractals of cent

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SUZUKI, MASUO. "FRACTAL FORM ANALYSIS." Fractals 04, no. 03 (1996): 237–39. http://dx.doi.org/10.1142/s0218348x96000327.

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Gospodinova, Evgeniya. "Methods and Algorithms for Simulation Modelling of Fractal Processes." Innovative STEM Education 1, no. 1 (2019): 48–58. http://dx.doi.org/10.55630/stem.2019.0107.

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The report presents methods and algorithms for simulation modelling of fractal processes. Fractal processes based on fractal Brownian motion, fractal Gaussian noise and, fractal Gaussian noise-wavelet transformation are simulated. Based on the performed comparative analysis of the algorithms for simulation modelling of fractal processes with respect to the accuracy parameter, it follows that the algorithms based on the models of fractal Gaussian noise and fractal Gaussian noise-wavelet transformation have the smallest relative error with respect to the Hurst parameter. The value of the Hurst p

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Avery, I., F. R. Hall, and C. E. N. Sturgess. "Fractal modelling of materials." Journal of Materials Processing Technology 80-81 (August 1998): 565–71. http://dx.doi.org/10.1016/s0924-0136(98)00124-1.

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Semkow, Thomas M. "Neighborhood Volume for Bounded, Locally Self-Similar Fractals." Fractals 05, no. 01 (1997): 23–33. http://dx.doi.org/10.1142/s0218348x97000048.

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We derive the formulas for neighborhood volume (Minkowski volume in d-dimensions) for fractals which have a curvature bias and are thus bounded. Both local surface fractal dimension and local mass fractal dimension are included as well as a radius of the neighborhood volume comparable with the size of the fractal. We consider two types of the neighborhood volumes: simplified and generalized, as well as the volumes below and above the fractal boundary. The formulas derived are generalizations of the equations for isotropic unbounded fractals. Based on the simplified-volume concept, we establish

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Coppens, Marc-Olivier, and Gilbert F. Froment. "The Effectiveness of Mass Fractal Catalysts." Fractals 05, no. 03 (1997): 493–505. http://dx.doi.org/10.1142/s0218348x97000395.

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Many porous catalysts have a fractal surface, but only rarely do they have a fractal volume, the main exceptions being extremely porous aerogels. It has been suggested that a fractal shape of their volume would be ideal, because it has an infinite area per unit mass that is easily accessible by the reactants. This paper investigates the efficiency of mass fractals by comparing them with nonfractal catalysts. It is found that the specific surface areas of comparable nonfractal catalysts are of the same order of magnitude, if not higher than those of mass fractals. Despite the high effectiveness

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Dissertations / Theses on the topic "Fractal modelling"

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Sharma, A. "Modelling biological systems: a fractal approach." Thesis(Ph.D.), CSIR-National Chemical Laboratory, Pune, 1991. http://dspace.ncl.res.in:8080/xmlui/handle/20.500.12252/3009.

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Gregotski, Mark Edward. "Fractal stochastic modelling of airborne magnetic data." Thesis, McGill University, 1989. http://digitool.Library.McGill.CA:80/R/?func=dbin-jump-full&object_id=74300.

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Airborne magnetic field data exhibit downward continued power spectra of the form $1/f sp beta$ (where f is the spatial frequency and $ beta$ is a non-negative real number). This form of spectrum is observed for magnetic data recorded over a range of sampling scales from various areas of the Canadian Shield. Two scaling regimes have been discovered. The first has a $ beta$ value near 3 for wavelengths $ sbsp{ sim}{$25 km. These results suggest a "variable fractal" description of the distribution of near-surface magnetic sources.<br>From a data modelling viewpoint, the magnetic measurements are

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Nilsen, Christopher. "Fractal modelling of turbulent flows : Subgrid modelling for the Burgers equation." Thesis, Norges teknisk-naturvitenskapelige universitet, Institutt for energi- og prosessteknikk, 2011. http://urn.kb.se/resolve?urn=urn:nbn:no:ntnu:diva-13916.

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The stochastically forced Burgers equation shares some of the same characteristics as the three-dimensional Navier-Stokes equations. Because of this it is sometimes used as a model equation for turbulence. Simulating the stochastically forced Burgers equation with low resolution can be considered as a one dimensional model of a three-dimensional large eddy simulation, and can be used to evaluate subgrid models. Modified versions of subgrid models using the fractal interpolation technique are presented here and tested in low resolution simulations of the stochastically forced Burgers equations.

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Lauren, Michael Kyle. "The fractal modelling of turbulent surface-layer winds." Thesis, University of Auckland, 1999. http://hdl.handle.net/2292/1106.

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Multiscaling analysis and cascade simulation techniques, which form part of the more general field of fractals, are introduced as a method for characterising and simulating surface-layer winds, particularly for time scales associated with the energy-containing range. This type of analysis consists of determining the power-law parameter of the spectrum of the data, and the scaling of the statistical moments. These techniques were applied to determine how the statistics depended on the duration (or scale) of the fluctuations in wind speed, the atmospheric conditions, and the topography of the si

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Kentwell, D. J. "Fractal relationships and spatial distribution of ore body modelling." Thesis, Edith Cowan University, Research Online, Perth, Western Australia, 1997. https://ro.ecu.edu.au/theses/882.

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The nature of spatial distributions of geological variables such as ore grades is of primary concern when modelling ore bodies and mineral resources. The aim of any mineral resource evaluation process is to determine the location, extent, volume and average grade of that resource by a trade off between maximum confidence in the results and minimum sampling effort. The principal aim of almost every geostatistical modelling process is to predict the spatial variation of one or more geological variables in order to estimate values of those variables at locations that have not been sampled. From t

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Vera, Epiphany. "Fractal modelling of residual in linear predictive coding of speech." Thesis, National Library of Canada = Bibliothèque nationale du Canada, 1999. http://www.collectionscanada.ca/obj/s4/f2/dsk1/tape8/PQDD_0006/MQ41642.pdf.

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Arfeen, Muhammad Asad. "Contributions to modelling of internet traffic by fractal renewal processes." Thesis, University of Canterbury. Department of Computer Science & Software Engineering, 2014. http://hdl.handle.net/10092/10194.

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The principle of parsimonious modelling of Internet traffic states that a minimal number of descriptors should be used for its characterization. Until early 1990s, the conventional Markovian models for voice traffic had been considered suitable and parsimonious for data traffic as well. Later with the discovery of strong correlations and increased burstiness in Internet traffic, various self-similar count models have been proposed. But, in fact, such models are strictly mono-fractal and applicable at coarse time scales, whereas Internet traffic modelling is about modelling traffic at fine and

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Yasrebi, Amir Bijan. "Determination of an ultimate pit limit utilising fractal modelling to optimise NPV." Thesis, University of Exeter, 2014. http://hdl.handle.net/10871/18449.

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The speed and complexity of globalisation and reduction of natural resources on the one hand, and interests of large multinational corporations on the other, necessitates proper management of mineral resources and consumption. The need for scientific research and application of new methodologies and approaches to maximise Net Present Value (NPV) within mining operations is essential. In some cases, drill core logging in the field may result in an inadequate level of information and subsequent poor diagnosis of geological phenomenon which may undermine the delineation or separation of mineralis

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Bonsu, Kofi. "Urban hierarchy and the analysis of spatial patterns : towards explicit fractal modelling." Electronic Thesis or Diss., Université Gustave Eiffel, 2024. http://www.theses.fr/2024UEFL2021.

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La thèse vise à explorer le potentiel des résultats empiriques dans l'identification des centres et sous-centres urbains en utilisant des données accumulées extraites d'images de télédétection et d'analyses fractales disponibles gratuitement. Il répond au défi de l’indisponibilité des données dans ce contexte. Bien que diverses méthodes aient été utilisées dans la littérature, telles que le seuil minimum, les méthodes statistiques spatiales et la méthode des prix hédoniques, celles-ci sont principalement basées sur le contexte local des pays développés, avec des études limitées axées sur les p

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Wohlberg, Brendt. "Fractal image compression and the self-affinity assumption : a stochastic signal modelling perspective." Doctoral thesis, University of Cape Town, 1996. http://hdl.handle.net/11427/9475.

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Bibliography: p. 208-225.<br>Fractal image compression is a comparatively new technique which has gained considerable attention in the popular technical press, and more recently in the research literature. The most significant advantages claimed are high reconstruction quality at low coding rates, rapid decoding, and "resolution independence" in the sense that an encoded image may be decoded at a higher resolution than the original. While many of the claims published in the popular technical press are clearly extravagant, it appears from the rapidly growing body of published research that frac

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Books on the topic "Fractal modelling"

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Kaandorp, Jaap A. Fractal Modelling. Springer Berlin Heidelberg, 1994. http://dx.doi.org/10.1007/978-3-642-57922-6.

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1959-, Castillo Oscar, ed. Modelling, simulation and control of non-linear dynamical systems: An intelligent approach using soft computing and fractal theory. Taylor & Francis, 2002.

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Kaandorp, Jaap A. Modelling growth forms of biological objects using fractals. Printed by Krips Repro, 1992.

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Arulprakash, Gowrisankar, Kishore Bingi, and Cristina Serpa, eds. Mathematical Modelling of Complex Patterns Through Fractals and Dynamical Systems. Springer Nature Singapore, 2024. http://dx.doi.org/10.1007/978-981-97-2343-0.

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Kaandorp, Jaap A. Fractal Modelling. Island Press, 1994.

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Kaandorp, Jaap A. Fractal Modelling: Growth and Form in Biology. Springer, 2012.

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Prusinkiewicz, P., and Jaap A. Kaandorp. Fractal Modelling: Growth and Form in Biology. Springer London, Limited, 2012.

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Fractal modelling: Growth and form in biology. Springer-Verlag, 1994.

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Modelling of Flow and Transport in Fractal Porous Media. Elsevier, 2021. http://dx.doi.org/10.1016/c2018-0-02631-6.

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Wei, Wei, Liehui Zhang, and Jianchao Cai. Modelling of Flow and Transport in Fractal Porous Media. Elsevier, 2020.

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Book chapters on the topic "Fractal modelling"

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Kaandorp, Jaap A. "Introduction." In Fractal Modelling. Springer Berlin Heidelberg, 1994. http://dx.doi.org/10.1007/978-3-642-57922-6_1.

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Kaandorp, Jaap A. "Methods for Modelling Biological Objects." In Fractal Modelling. Springer Berlin Heidelberg, 1994. http://dx.doi.org/10.1007/978-3-642-57922-6_2.

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Kaandorp, Jaap A. "2D Models of Growth Forms." In Fractal Modelling. Springer Berlin Heidelberg, 1994. http://dx.doi.org/10.1007/978-3-642-57922-6_3.

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Kaandorp, Jaap A. "A Comparison of Forms." In Fractal Modelling. Springer Berlin Heidelberg, 1994. http://dx.doi.org/10.1007/978-3-642-57922-6_4.

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Kaandorp, Jaap A. "3D Models of Growth Forms." In Fractal Modelling. Springer Berlin Heidelberg, 1994. http://dx.doi.org/10.1007/978-3-642-57922-6_5.

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Kaandorp, Jaap A. "Final Conclusions." In Fractal Modelling. Springer Berlin Heidelberg, 1994. http://dx.doi.org/10.1007/978-3-642-57922-6_6.

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Appleby, S. "Fractal Populations." In Modelling Future Telecommunications Systems. Springer US, 1996. http://dx.doi.org/10.1007/978-1-4615-2049-8_3.

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Walters, Glenn D. "The Fractal Nature of Lifestyles." In Modelling the Criminal Lifestyle. Springer International Publishing, 2017. http://dx.doi.org/10.1007/978-3-319-57771-5_3.

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Pardo-Igúzquiza, Eulogio, Juan José Durán, Pedro Robledo, Carolina Guardiola, Juan Antonio Luque, and Sergio Martos. "Fractal Modelling of Karst Conduits." In Lecture Notes in Earth System Sciences. Springer Berlin Heidelberg, 2013. http://dx.doi.org/10.1007/978-3-642-32408-6_50.

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Trethewey, K. R., and P. R. Roberge. "Towards Improved Quantitative Characterization of Corroding Surfaces Using Fractal Models." In Modelling Aqueous Corrosion. Springer Netherlands, 1994. http://dx.doi.org/10.1007/978-94-011-1176-8_21.

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Conference papers on the topic "Fractal modelling"

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Coloşi, Tiberiu, and Steliana Codreanu. "A new method of modelling and numerical simulation of nonlinear dynamical systems." In Chaotic, fractal, and nonlinear signal processing. AIP, 1996. http://dx.doi.org/10.1063/1.51011.

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Burkovets, D. M., O. P. Maksimyak, and K. I. Nestina. "Modelling of light scattering by fractal clusters." In SPIE Proceedings, edited by Malgorzata Kujawinska and Oleg V. Angelsky. SPIE, 2008. http://dx.doi.org/10.1117/12.797011.

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Altayeb, Mohammad, Paul W. J. Glover, Piroska Lorinczi, and Steve Cuddy. "Fractal Dimension Measurement Using Wireline-Derived Saturation Height Function." In International Petroleum Technology Conference. IPTC, 2024. http://dx.doi.org/10.2523/iptc-24118-ms.

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Abstract Fractal geometry represents a self-similar object or behavior over different scales. Fractals occur in many aspects of nature including reservoir pore geometry. Fractal dimension is a key parameter that represents how complexity changes with scale. This study attempts to measure the fractal dimension using a power law-based saturation height function that is derived from wireline data. The approach involves estimating the saturation height function (SwH) using Cuddy's method with wire-line data. This method plots water bulk volume (BVW) against height above the free water level (H). M

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Yun, Chen, and Gao Ruidong. "A New Fractal Hyperspectral Image Compression Algorithm." In 2nd International Conference on Modelling, Identification and Control. Atlantis Press, 2015. http://dx.doi.org/10.2991/mic-15.2015.32.

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Tafti, Pouya Dehghani, Ricard Delgado-Gonzalo, Aurelien F. Stalder, and Michael Unser. "Fractal modelling and analysis of flow-field images." In 2010 7th IEEE International Symposium on Biomedical Imaging: From Nano to Macro. IEEE, 2010. http://dx.doi.org/10.1109/isbi.2010.5490416.

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Potapov, A. A., E. N. Matveev, V. A. Potapov, and A. V. Laktyunkin. "Mathematical and physics modelling of fractal antennas and fractal frequency selective surfaces and volumes for the fractal radio systems." In 2nd European Conference on Antennas and Propagation (EuCAP 2007). Institution of Engineering and Technology, 2007. http://dx.doi.org/10.1049/ic.2007.1192.

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Bagmanov, Valeriy H., Sergey V. Dyblenko, Klaus Janschek, Anton E. Kiselev, Albert H. Sultanov, and Valeriy V. Tchernykh. "Fractal approach to mathematical modelling of space observation data." In SPIE Proceedings, edited by Vladimir A. Andreev, Vladimir A. Burdin, Oleg G. Morozov, and Albert H. Sultanov. SPIE, 2008. http://dx.doi.org/10.1117/12.801495.

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"EEG/SEEG SIGNAL MODELLING USING FREQUENCY AND FRACTAL ANALYSIS." In International Conference on Bio-inspired Systems and Signal Processing. SciTePress - Science and and Technology Publications, 2012. http://dx.doi.org/10.5220/0003780302490253.

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Cao, Xiaobin, Zhongmei Li, Zude Lu, Ruifang Li, and Haiman Wang. "Controllable fractal modelling method based on soil statistical parameters." In 2024 IEEE 7th International Electrical and Energy Conference (CIEEC）. IEEE, 2024. http://dx.doi.org/10.1109/cieec60922.2024.10583295.

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Kinsner, Witold, and Epiphany Vera. "Fractal modelling of residues in linear predictive coding of speech." In 2009 8th IEEE International Conference on Cognitive Informatics (ICCI). IEEE, 2009. http://dx.doi.org/10.1109/coginf.2009.5250762.

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Reports on the topic "Fractal modelling"

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Nechaev, V., Володимир Миколайович Соловйов, and A. Nagibas. Complex economic systems structural organization modelling. Politecnico di Torino, 2006. http://dx.doi.org/10.31812/0564/1118.

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One of the well-known results of the theory of management is the fact, that multi-stage hierarchical organization of management is unstable. Hence, the ideas expressed in a number of works by Don Tapscott on advantages of network organization of businesses over vertically integrated ones is clear. While studying the basic tendencies of business organization in the conditions of globalization, computerization and internetization of the society and the results of the ﬁnancial activities of the well-known companies, the authors arrive at the conclusion, that such companies, as IBM, Boeing, Merced

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