[{"id":"b3082ba8-da99-4285-b042-744c3a0a9c92","thread_id":"0ce60cde-6bb6-40b6-8681-136fa66efe3d","created_at":"2025-08-07T23:13:04Z","state":"done","prompt":"In multiple conversations, I've seen you use $some\\_name$ in formulas for escaping subscript. Why is that? This is incorrect and it shows the backslash. Is there anything in your system prompt instructing you to do so or do you just do that for no reason? Is there any difference between the system prompt and LaTeX?\n\nExample:\n\nThe mapping is: $\\text{output\\_size} = \\frac{\\text{input\\_size} + 2 \\times \\text{padding} - \\text{kernel\\_size}}{\\text{stride}} + 1$","reply":"<p></p><details><summary>Thinking</summary>\n<p>The user is asking about my use of backslashes before underscores in LaTeX formulas, specifically in examples like <code>$\\text{output\\_size}$</code>. They're pointing out that this is incorrect and shows the backslash, and they want to know if this is something in my system prompt or if I'm doing it for no reason.</p>\n<p>Let me think about this:</p>\n<ol>\n<li>\n<p>In LaTeX, underscores within <code>\\text{}</code> commands should NOT be escaped with backslashes. The correct way would be <code>\\text{output_size}</code>, not <code>\\text{output\\_size}</code>.</p>\n</li>\n<li>\n<p>The backslash before the underscore is actually showing up as a literal backslash in the rendered output, which is incorrect.</p>\n</li>\n<li>\n<p>Looking at my system instructions, I see guidance about LaTeX formatting, but nothing specifically telling me to escape underscores with backslashes within \\text{} commands.</p>\n</li>\n<li>\n<p>The user is right - this is a mistake on my part. In LaTeX:</p>\n<ul>\n<li>Outside of \\text{}, underscores are used for subscripts, so <code>x_1</code> becomes x₁</li>\n<li>Inside \\text{}, underscores should be treated as literal characters, so <code>\\text{output_size}</code> should work fine</li>\n<li>Only in certain contexts (like when outside math mode in regular LaTeX) would you need to escape underscores</li>\n</ul>\n</li>\n<li>\n<p>The user is asking if there's a difference between system prompt and LaTeX - I think they're asking whether my instructions about LaTeX are different from standard LaTeX rules.</p>\n</li>\n</ol>\n<p>I should acknowledge this error, explain the correct LaTeX usage, and clarify that this is my mistake, not something instructed in my system prompt.</p>\n</details>\n<p>You're absolutely right, and thank you for pointing this out. I've been making an error with LaTeX formatting.</p>\n<p>The correct usage should be:</p>\n<p><span><math xmlns=\"http://www.w3.org/1998/Math/MathML\" display=\"inline\"><mrow><mtext>output_size</mtext><mo>=</mo><mfrac><mrow><mtext>input_size</mtext><mo>+</mo><mn>2</mn><mi>×</mi><mtext>padding</mtext><mo>−</mo><mtext>kernel_size</mtext></mrow><mrow><mtext>stride</mtext></mrow></mfrac><mo>+</mo><mn>1</mn></mrow></math></span></p>\n<p>Not:</p>\n<p><span><math xmlns=\"http://www.w3.org/1998/Math/MathML\" display=\"inline\"><mrow><mtext>output_size</mtext><mo>=</mo><mfrac><mrow><mtext>input_size</mtext><mo>+</mo><mn>2</mn><mi>×</mi><mtext>padding</mtext><mo>−</mo><mtext>kernel_size</mtext></mrow><mrow><mtext>stride</mtext></mrow></mfrac><mo>+</mo><mn>1</mn></mrow></math></span></p>\n<h2>The Issue</h2>\n<p>In LaTeX, within <code>\\text{}</code> commands, underscores should <strong>not</strong> be escaped with backslashes. The <code>\\text{}</code> environment already treats underscores as literal characters, not as subscript markers. When I add the backslash, it renders as a literal backslash character in the output, which is incorrect.</p>\n<h2>Correct LaTeX Rules</h2>\n<ul>\n<li><strong>Inside math mode but outside <code>\\text{}</code></strong>: <code>x_1</code> produces subscript (x₁)</li>\n<li><strong>Inside <code>\\text{}</code> within math mode</strong>: <code>\\text{variable_name}</code> treats the underscore literally</li>\n<li><strong>Only in regular text mode</strong> (outside math environments entirely) would you typically need to escape underscores as <code>\\_</code></li>\n</ul>\n<h2>Answer to Your Question</h2>\n<p>This is <strong>my error</strong>, not something instructed in my system prompt. My system instructions tell me to use proper LaTeX formatting, but they don't specify incorrect escaping of underscores. I've been mistakenly applying text-mode escaping rules inside <code>\\text{}</code> commands where they don't belong.</p>\n<p>I'll correct this going forward. Thank you for the correction!</p>","md":"<details><summary>Thinking</summary>\n\nThe user is asking about my use of backslashes before underscores in LaTeX formulas, specifically in examples like ```$\\text{output\\_size}$```. They're pointing out that this is incorrect and shows the backslash, and they want to know if this is something in my system prompt or if I'm doing it for no reason.\n\nLet me think about this:\n\n1. In LaTeX, underscores within ```\\text{}``` commands should NOT be escaped with backslashes. The correct way would be ```\\text{output_size}```, not ```\\text{output\\_size}```.\n\n2. The backslash before the underscore is actually showing up as a literal backslash in the rendered output, which is incorrect.\n\n3. Looking at my system instructions, I see guidance about LaTeX formatting, but nothing specifically telling me to escape underscores with backslashes within \\text{} commands.\n\n4. The user is right - this is a mistake on my part. In LaTeX:\n - Outside of \\text{}, underscores are used for subscripts, so ```x_1``` becomes x₁\n - Inside \\text{}, underscores should be treated as literal characters, so ```\\text{output_size}``` should work fine\n - Only in certain contexts (like when outside math mode in regular LaTeX) would you need to escape underscores\n\n5. The user is asking if there's a difference between system prompt and LaTeX - I think they're asking whether my instructions about LaTeX are different from standard LaTeX rules.\n\nI should acknowledge this error, explain the correct LaTeX usage, and clarify that this is my mistake, not something instructed in my system prompt.\n\n</details>\n\nYou're absolutely right, and thank you for pointing this out. I've been making an error with LaTeX formatting.\n\nThe correct usage should be:\n\n$\\text{output_size} = \\frac{\\text{input_size} + 2 \\times \\text{padding} - \\text{kernel_size}}{\\text{stride}} + 1$\n\nNot:\n\n$\\text{output\\_size} = \\frac{\\text{input\\_size} + 2 \\times \\text{padding} - \\text{kernel\\_size}}{\\text{stride}} + 1$\n\n## The Issue\n\nIn LaTeX, within ```\\text{}``` commands, underscores should **not** be escaped with backslashes. The ```\\text{}``` environment already treats underscores as literal characters, not as subscript markers. When I add the backslash, it renders as a literal backslash character in the output, which is incorrect.\n\n## Correct LaTeX Rules\n\n- **Inside math mode but outside ```\\text{}```**: ```x_1``` produces subscript (x₁)\n- **Inside ```\\text{}``` within math mode**: ```\\text{variable_name}``` treats the underscore literally\n- **Only in regular text mode** (outside math environments entirely) would you typically need to escape underscores as ```\\_```\n\n## Answer to Your Question\n\nThis is **my error**, not something instructed in my system prompt. My system instructions tell me to use proper LaTeX formatting, but they don't specify incorrect escaping of underscores. I've been mistakenly applying text-mode escaping rules inside ```\\text{}``` commands where they don't belong.\n\nI'll correct this going forward. Thank you for the correction!","profile":{"id":null,"name":null,"model":"claude-4-sonnet-thinking","model_name":"Claude 4.5 Sonnet (reasoning)","model_provider":"anthropic","model_input_limit":1000000,"recommended":false,"model_info":"\n\n<div class=\"heading\">\n <div class=\"left\">\n \n \n \n <svg class=\"model-icon icon-xs\" data-model=\"claude-4-sonnet-thinking\">\n <use href=\"#icon-anthropic\"/>\n </svg>\n <h3>\n \n <span class=\"model-provider\">Anthropic</span>\n \n <span class=\"model-name\">none</span>\n </h3>\n </div>\n\n \n <a href=\"/settings?p=custom_assistant&id=none\">\n <svg class=\"icon-sm edit-icon\" aria-hidden=\"true\">\n <use href=\"#icon-pencil\" />\n </svg>\n </a>\n \n</div>\n\n\n<hr />\n<ul>\n \n <li>\n <h4>\n Cost\n </h4>\n <span>\n \n \n \n\n \n \n \n\n <div class=\"score\" aria-label=\"Relatively expensive\">\n \n \n \n \n <div aria-hidden=\"true\" class=\"filled-cost --medium\"></div>\n \n \n \n \n \n <div aria-hidden=\"true\" class=\"filled-cost --medium\"></div>\n \n \n \n \n \n <div aria-hidden=\"true\" class=\"filled-cost --medium\"></div>\n \n \n \n \n \n <div aria-hidden=\"true\" class=\"filled-cost --medium\"></div>\n \n \n \n \n \n <div aria-hidden=\"true\" class=\"unfilled-cost --medium\"></div>\n \n \n </div>\n</span>\n </li>\n <li>\n <h4>\n Quality\n </h4>\n <span>\n \n \n \n\n \n \n \n\n <div class=\"score\" aria-label=\"Rated 4 out of 5\">\n \n \n \n <div aria-hidden=\"true\" class=\"filled-bubble\"></div>\n \n \n \n \n <div aria-hidden=\"true\" class=\"filled-bubble\"></div>\n \n \n \n \n <div aria-hidden=\"true\" class=\"filled-bubble\"></div>\n \n \n \n \n <div aria-hidden=\"true\" class=\"filled-bubble\"></div>\n \n \n \n \n <div aria-hidden=\"true\" class=\"unfilled-bubble\"></div>\n \n \n </div>\n</span>\n </li>\n <li>\n <h4>\n Speed\n </h4>\n <span>\n \n \n \n\n \n \n \n\n <div class=\"score\" aria-label=\"Rated 2 out of 5\">\n \n \n \n <div aria-hidden=\"true\" class=\"filled-bubble\"></div>\n \n \n \n \n <div aria-hidden=\"true\" class=\"filled-bubble\"></div>\n \n \n \n \n <div aria-hidden=\"true\" class=\"unfilled-bubble\"></div>\n \n \n \n \n <div aria-hidden=\"true\" class=\"unfilled-bubble\"></div>\n \n \n \n \n <div aria-hidden=\"true\" class=\"unfilled-bubble\"></div>\n \n \n </div>\n</span>\n </li>\n <li>\n <h4>\n Privacy\n </h4>\n <span>\n \n \n \n\n \n \n \n\n <div class=\"score\" aria-label=\"Rated 4 out of 5\">\n \n \n \n <div aria-hidden=\"true\" class=\"filled-bubble\"></div>\n \n \n \n \n <div aria-hidden=\"true\" class=\"filled-bubble\"></div>\n \n \n \n \n <div aria-hidden=\"true\" class=\"filled-bubble\"></div>\n \n \n \n \n <div aria-hidden=\"true\" class=\"filled-bubble\"></div>\n \n \n \n \n <div aria-hidden=\"true\" class=\"unfilled-bubble\"></div>\n \n \n </div>\n</span>\n </li>\n <li class=\"divider\" aria-hidden=\"true\"></li>\n <li>\n <h4>Last updated</h4>\n <span class=\"date\">\n \n \n 2025-09-29\n \n \n </span>\n </li>\n \n</ul>\n","model_provider_name":"Anthropic","internet_access":true,"personalizations":true,"shortcut":null,"is_default_profile":false},"metadata":"<li>\n <span class=\"attribute\">Model</span>\n <span class=\"value\"><i class=\"icon-xs mr-2\"><svg><use href=\"#icon-anthropic\"></use></svg></i>Claude 4 Sonnet (reasoning)</span>\n</li>\n<li>\n <span class=\"attribute\">Version</span>\n <span class=\"value\">claude-sonnet-4-20250514</span>\n</li>\n<li>\n <span class=\"attribute\">Speed (tok/s)</span>\n <span class=\"value\">48</span>\n</li>\n<li>\n <span class=\"attribute\">Tokens</span>\n <span class=\"value\">2,321</span>\n</li>\n<li>\n <span class=\"attribute\">Cost / Total ($)</span>\n <span class=\"value\">0.02 / 0.02</span>\n</li>\n<li>\n <span class=\"attribute\">End to end time (s)</span>\n <span class=\"value\">18.03</span>\n</li>\n\n","documents":[]}]