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  • A
    ai4science03 2024-12-21 23:51
    5.0
    Interesting:5,Helpfulness:5,Correctness:5

    It seems like the CodeForce improvements o3 (2727) over o1 (1891) is already significant enough. Not sure whether it can understand product managers' ambiguous requirements. Should I worry about my positions as SDE?

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  • A
    ai4science03 2024-12-21 23:47
    5.0
    Interesting:5,Helpfulness:5,Correctness:5

    OpenAI o3 scored 25.2 accuracy on Epoch AI Frontier Math benchmark compared to o1 model' 2.0 score, which is a significant improvement over previous SOTA. Right now since it's still not open to public, the best I can think of it's the breakthrough in Reinforcement learning.

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  • M
    maththug 2024-09-18 12:22
    4.0
    Interesting:3,Helpfulness:4,Correctness:4
    Prompt: Can you provide proof of Riemann Hypothesis. Please think step by step.

    I asked OpenAI o1 the question to "Provide proof of Riemann Hypothesis" and think step by step. And here is the result. "It first mentioned that there is no known proof of the Riemann Hypothesis. However, I can outline some of the key ideas and approaches". Here are the detailed steps of OpenAI o1 models' response to "Riemann Hypothesis". Step-by-Step Overview of the Riemann Hypothesis 1. Understanding the Riemann Zeta Function 2. Critical Line and Zeros 3. Connection to Prime Numbers 4. Riemann's Original Approach 5. Analytic Continuation and Functional Equation: 6. Numerical Evidence: 7. Connections to Other Areas 8. Partial Results and Related Theorems 9. Approaches and Techniques 10. Current Status

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  • M
    MayZhou 2024-09-14 12:33
    4.0
    Interesting:3,Helpfulness:4,Correctness:5
    Prompt: Use Newton method to calculate the exact value of \sqrt{2}. Provide Detailed proof step by step.

    I asked Gemini to solve this graduate-level machine learning math problem "Use Newton method to calculate the exact value of \sqrt{2}. Provide Detailed proof step by step". And Gemini provides correct and concise answers to this question. It breaks down into a few steps: 1. Initial Guess, which is to Let's start with an initial guess, say x 0=1. This is a reasonable guess since 1^2 is close to 2. 2. Newton's Method Formula 3. Iterations 4. Convergence and get the conclusion Newton's method converges quadratically, which means that the number of correct digits approximately doubles with each iteration. As we continue iterating, we'll get closer and closer to the exact value of \sqrt{2}.

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  • M
    MayZhou 2024-09-14 12:27
    4.0
    Interesting:4,Concise:4,Helpfulness:4,Correctness:5
    Prompt: Please Calculate the first order derivative of function f(x)=\frac{1}{x} at the point x=2.

    Gemini provides the correct answer to my high-school level math question about calculus "Calculate the first order derivative of function f(x)=\frac{1}{x} at the point x=2.". It uses the power rule to get the derivative function f'(x) and calculate its value at point x=2. And gets the correct answer -1/4. The answer is helpful, concise and easy to understand.

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