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terrytao.wordpress.com | ||
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bit-player.org
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| | | | | [AI summary] The article explores the mathematical and algorithmic challenges of packing infinite circular disks into a finite area, focusing on fractal patterns and space-filling algorithms. It discusses the use of power-law and geometric series for disk sizes, highlighting the difficulties with geometric series due to rapid area consumption early on. The text also examines the adaptability of the algorithm to various shapes, including nonconvex and hollow objects, and touches on the computational efficiency of overlap testing in packing algorithms. | |
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fredrikj.net
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bayesianneuron.com
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| | | | | [AI summary] The user has shared a detailed exploration of optimizing the 0/1 Knapsack problem using dynamic programming with Python and NumPy. They discuss various optimization techniques, including reducing memory usage with a 2-row approach, vectorization using NumPy's `np.where` for faster computation, and the performance improvements achieved. The final implementation shows significant speedups, especially for large-scale problems, and the user highlights the importance of vectorization and efficient memory management in computational tasks. | |
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simpleprogrammer.com
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| | | Software Engineers do the complex work so that we can enjoy efficient software solutions. They're creating the systems behind the digital tools we use at work or in our personal life. This takes strong logical thinking and problem-solving skills, as well as a deep knowledge of computer science and programming. It's a challenging, but exciting [...] | ||
