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How AI and Automation Transform Mathematical Problem Solving: The Case of GPT-5 and Optimization Theory

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Introduction to AI in Mathematical Workflows Automation is changing many fields, including how complex mathematical problems are solved. Artificial intelligence (AI) tools now support researchers by handling tasks that once required extensive manual effort. This development enhances efficiency and opens new possibilities in mathematical discovery. Breakthrough in Optimization Theory Recently, a significant advancement occurred in optimization theory, a branch of mathematics focused on finding the best solutions under given constraints. A UCLA professor, Ernest Ryu, collaborated with the AI model GPT-5 to address a challenging question within this field. Their joint effort demonstrated how automation and AI can assist in solving intricate problems. The Role of GPT-5 in Mathematical Discovery GPT-5 is an advanced language model capable of understanding and generating complex text, including mathematical expressions and reasoning. In this case, GPT-5 helped analyze existing the...