Research on Carbon Sequestration Capacity of Urban Park Green Space in the Central Urban Area of Beijing and Driving Factors Thereof by Xiuping LIU, Songting ZHAO, Xinyu LI, Jiale LI, Xing WANG

“…The carbon sequestration capacity of park green spaces is significantly positively correlated (p<0.01) with patch area (PA), largest patch index (LPI), percentage of like adjacency (PLADJ), patch cohesion index (COHESION), and aggregation index (AI), and significantly negatively correlated (p<0.01) with landscape shape index (LSI), mean perimeter-area ratio (MPAR), and mean patch fractal dimension (MPFD). To verify accuracy of the remote sensing model adopted, the measured and simulated values of carbon sequestration capacity were compared. …”
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The Hausdorff dimension and exact Hausdorff measure of random recursive sets with overlapping by Hongwen Guo, Dihe Hu

“…We prove that this larger class of random sets are fractals in the sense of Taylor, and give conditions when these sets have positive and finite Hausdorff measures, which in certain extent generalize some of the known results, about random recursive fractals.…”
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Polynomial Roots and Calabi-Yau Geometries by Yang-Hui He

“…However, such delicate structures as fractals and holes have only recently been found. We study the space of roots to certain integer polynomials arising naturally in the context of Calabi-Yau spaces, notably Poincaré and Newton polynomials, and observe various salient features and geometrical patterns.…”
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Chaotic Dynamics of a Mixed Rayleigh–Liénard Oscillator Driven by Parametric Periodic Damping and External Excitations by Yélomè Judicaël Fernando Kpomahou, Laurent Amoussou Hinvi, Joseph Adébiyi Adéchinan, Clément Hodévèwan Miwadinou

“…For ω≠ν and η=0.8, the fractality of the basin of attraction increases as the amplitude of the external periodic excitation and constant term increase. …”
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How Architecture Builds Intelligence: Lessons from AI by Nikos A. Salingaros

“…Traditional and vernacular architectures are appropriate for life, whereas new buildings and urban spaces adapt to human biology and are better for raising children only if they follow living geometry, which represents natural patterns such as fractals and nested symmetries. This study provides a novel, evidence-based framework for adaptive and empathetic architectural design.…”
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Perfection of the mechanism of planning of innovative activities based on the system-transdisciplinary approach by P. M. Gureev, V. N. Grishin, E. N. Dunenkova, S. I. Onishchenko

“…The use of a transdisciplinary systematic approach to innovation planning allows you to use new methodological planning tools, strengthen the systematic nature of planned activities, more clearly define their content and sequence.Various variants of the classification of scientific approaches according to the criterion of the degree of completeness of cognition of the surrounding world have been analysed, the basic transdisciplinary methodological approaches according to the content criteria and possibilities have been compared, such as: the theory of autopoiesis, the theory of chaos and complexity, the theory of fractals, the theory of turbulence and the theory of economic genetics.An important factor in the proposed methodology is the use of the evolutionary property of the development of organizational systems in combination with the possibility of revolutionary transformations at certain stages of development that determine the susceptibility of the organizational system to innovations. …”
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