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ChatGPT vs Gemini for reasoning Comparison in different aspects of AI services with data mining from genuine user reviews & ratings, including: ALL,Interesting,Helpfulness,Correctness. AI store is a platform of genuine user reviews,rating and AI generated contents, covering a wide range of categories including AI Image Generators, AI Chatbot & Assistant, AI Productivity Tool, AI Video Generator, AI in Healthcare, AI in Education, AI in Lifestyle, AI in Finance, AI in Business, AI in Law, AI in Travel, AI in News, AI in Entertainment, AI for Kids, AI for Elderly, AI Search Engine, AI Quadruped Robot.

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  • ai4science03 2024-09-09 12:38
    Interesting:3,Helpfulness:3,Correctness:5

    Truthfully, I am a little bit surprised by the math proof ability and reasoning ability of ChatGPT. To solve the topological math problem, ChatGPT firstly gives a outline of the proof and provides more details to support the proof. The detailed response is as follows: To prove that the sum of two compact sets in a topological vector space X, X is compact, we need to show that if A and B are compact subsets of X, then A+B is also compact. Proof: 1. Recall Definitions and Properties 2. Consider the Projection Maps 3. Use the Compactness of A and B 4. Image of a Compact Set Under a Continuous Map 5. Conclusion: Thus, we have shown that if A and B are compact subsets of a topological vector space X, then A+B is also compact.