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Educational web application for analyzing fractal dimensions in images, featuring advanced mathematical algorithms, real-time visualization, and interactive tools for exploring fractal geometry and chaos theory.
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Real-time music-to-mathematical-equation converter that transforms audio into beautiful mathematical representations using advanced FFT analysis, harmonic detection, and AI-powered pattern recognition.
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Cutting-edge STEAM research project combining PyTorch deep learning, XGBoost ensemble methods, and mathematical modeling for real-time urban air quality prediction and analysis, featuring GPU acceleration and interactive dashboards.
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AI-driven energy optimization system specifically designed for Macau’s high-rise urban environment, featuring predictive analytics, IoT integration, and advanced machine learning for sustainable energy management.
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Mathematical framework modeling climate-epidemiological-network dynamics with advanced simulation capabilities, machine learning integration, and multi-scale analysis for building resilient cities in the era of climate change.
Published in , 2019
We modified the Lotka-Volterra Equations with the assumption that two of the original four constant parameters in the traditional equations are time-dependent. In the first place, we assumed that the human population (borrowed from the T-Function) plays the role as the prey while all lethal factors that jeopardize the existence of the human race as the predator. Although we could still calculate the time-dependent lethal function, the idea of treating the lethal factors as the prey was too general to recognize the meaning of them. Hence, in the second part of the modified Lotka-Volterra Equations, we exchanged the roles between the prey and the predator. This time, we treated the prey as the natural resources while the predator as the human population (still borrowed from the T-Function). After carefully choosing appropriate parameters to match the maximum carrying capacity with the saturated number of the human population predicted by the T-Function, we successfully calculated the natural resources as a function of time. Contrary to our intuition, the carrying capacity is constant over time rather than a time-varying function, with the constant value of 10.2 billion people.
Recommended citation: Kin, Cheng Sok, Ian Man Ut, Lo Hang, U Ieng Hou, Ng Ka Weng, Un Soi Ha, Lei Ka Hin, et al. 2019. “Predicting Earth’s Carrying Capacity of Human Population as the Predator and the Natural Resources as the Prey in the Modified Lotka-Volterra Equations With Time-dependent Parameters.” arXiv.Org. April 10, 2019. https://arxiv.org/abs/1904.05002.
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Undergraduate course, University 1, Department, 2014
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Workshop, University 1, Department, 2015
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