**AI助力数学家解决复杂问题，陶哲轩分享AI在数学领域的新进展**
随着AI技术的不断进步，其在数学领域的应用愈发广泛。近日，著名数学家陶哲轩分享了自己在使用AI辅助解决数学问题方面的最新动态和体验。
陶哲轩作为倡导者，一直走在AI辅助证明的前沿，使用Lean和Coq等证明助手工具。他表示，这些工具能够帮助形式化和验证复杂的数学证明，大大降低了人为错误的可能性。最近，他更是在解决被称为“忙碌海狸问题”的数学难题中借助AI力量，展现了AI在数学领域的巨大潜力。
在推进项目研究进展的同时，陶哲轩也不忘探索AI技术的更多应用。他参与了由Talia Ringer发起的AI在数学中资源列表的推广和编辑工作，为有志于进入数学AI领域的研究者提供帮助。此外，陶哲轩还尝试学习使用动画图表，将复杂的数学理论以更直观的方式呈现给公众。
针对零密度估计的文献回顾，陶哲轩提到目前缺乏全面的综述来涵盖所有建立的零密度定理。他表示，文献复杂性是一个重大挑战，尤其在特定的数值范围内界限分段主要是因为控制整数矩与分数矩的不同方法。尽管对人类来说这些界限的表述可能显得杂乱无章，但对计算机而言却是可轻松处理的。为此，陶哲轩将所有界限汇总至一个Python文件中并创建了动画辅助理解。
对于未来，陶哲轩表示对AI在数学领域的应用充满期待，并呼吁更多数学家拥抱这一变革性技术。相关动态和评论引发了数学界的广泛关注和热烈讨论。此事件不仅展现了AI技术在数学领域的广阔前景，也激发了更多学者对AI与数学结合的研究热情。
英语如下：
News Title: Tao Zhe Xian Leads in Using AI to Solve Mathematical Problems: Helping Beginners Explore the Mystery of Zero Density
Keywords: AI Assisted Mathematics, Tao Zhe Xian and AI Proof Tools, Solving Zero Density Issues
News Content: **AI Assists Mathematicians in Solving Complex Problems, Tao Zhe Xian Shares New Progress in AI Application in Mathematics**
With the continuous progress of AI technology, its application in the field of mathematics is becoming increasingly widespread. Recently, renowned mathematician Tao Zhe Xian shared his latest developments and experiences in using AI to assist in solving mathematical problems.
As an advocate, Tao Zhe Xian has always been at the forefront of AI-assisted proof, using proof assistant tools such as Lean and Coq. He stated that these tools can help formalize and verify complex mathematical proofs, greatly reducing the possibility of human error. Recently, he demonstrated the tremendous potential of AI in mathematics by leveraging it to solve a mathematical problem known as the “Busy Beaver Problem.”
While advancing research on projects, Tao Zhe Xian also explores more applications of AI technology. He participated in the promotion and editing of Talia Ringer’s AI resource list in mathematics, providing assistance to researchers interested in entering the field of mathematical AI. In addition, Tao Zhe Xian has also attempted to use animated charts to present complex mathematical theories to the public in a more intuitive manner.
Regarding a literature review on zero density estimation, Tao Zhe Xian mentioned that there is currently no comprehensive review that covers all established zero density theorems. He stated that the complexity of the literature is a significant challenge, especially when boundaries are segmented within specific numerical ranges due to different methods of controlling integer moments and fractional moments. While these boundaries may appear chaotic to humans, computers can handle them easily. To this end, Tao Zhe Xian compiled all boundaries into a Python file and created animations to aid understanding.
Looking ahead, Tao Zhe Xian expressed his excitement for the future application of AI in mathematics and called on more mathematicians to embrace this transformative technology. The related developments and comments have sparked widespread attention and热烈讨论in the mathematical community. This event not only demonstrates the vast prospects for AI technology in mathematics but also stimulates more scholars’ research enthusiasm for the combination of AI and mathematics.
【来源】https://www.jiqizhixin.com/articles/2024-07-04-10
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