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Adapt to new ChatGPT HTML format (Aug 2023) (#2)
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Original file line number | Diff line number | Diff line change |
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## Question | ||
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Hi ChatGPT! | ||
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## Answer | ||
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Hello! How can I assist you today? | ||
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---------- | ||
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## Question | ||
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What version are you? | ||
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## Answer | ||
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I am based on the GPT-4 architecture. How can I help you today? | ||
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---------- | ||
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## Question | ||
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Just want to casually chat with you. | ||
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## Answer | ||
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Of course! Casual chats are always welcome. What's on your mind? Anything you're curious about or want to discuss? | ||
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---------- | ||
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## Question | ||
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Which number is bigger? 1234^5678 or 5678^1234? | ||
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## Answer | ||
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To determine which number is larger, 123456781234^{5678}12345678 or 567812345678^{1234}56781234, we can use logarithms. | ||
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Let's compare the natural logarithms (ln) of the two numbers: | ||
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A = ln(123456781234^{5678}12345678) | ||
B = ln(567812345678^{1234}56781234) | ||
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Using the properties of logarithms, these become: | ||
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A = 5678 * ln(1234) | ||
B = 1234 * ln(5678) | ||
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Now, let's compute each value: | ||
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A ≈ 5678 * 7.118016 = 40405.28 | ||
B ≈ 1234 * 8.644121 = 10672.68 | ||
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Clearly, A is much larger than B. | ||
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This means that the logarithm of 123456781234^{5678}12345678 is much larger than the logarithm of 567812345678^{1234}56781234. Since the natural logarithm function is increasing, this means 123456781234^{5678}12345678 is larger than 567812345678^{1234}56781234. |
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