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  "tokens": [
    "<|im_start|>",
    "user",
    "\n",
    "Can",
    " you",
    " explain",
    " what",
    " a",
    " Jacob",
    "ian",
    " is",
    ",",
    " in",
    " a",
    " few",
    " sentences",
    "?",
    "<|im_end|>",
    "\n",
    "<|im_start|>",
    "assistant",
    "\n",
    "The",
    " Jacob",
    "ian",
    " is",
    " a",
    " matrix",
    " of",
    " partial",
    " derivatives",
    " that",
    " describes",
    " how",
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    " changes",
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    " It",
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    " used",
    " in",
    " mult",
    "ivar",
    "iable",
    " calculus",
    " to",
    " transform",
    " coordinates",
    " and",
    " compute",
    " volumes",
    ",",
    " areas",
    ",",
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    " other",
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    ".",
    " The",
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    " is",
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    "<|im_end|>",
    "\n",
    "<|im_start|>",
    "user",
    "\n",
    "Nice",
    ",",
    " thanks",
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    " Which",
    " part",
    " do",
    " people",
    " usually",
    " get",
    " wrong",
    "?",
    "<|im_end|>",
    "\n",
    "<|im_start|>",
    "assistant",
    "\n",
    "People",
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    " the",
    " difference",
    " between",
    " the",
    " Jacob",
    "ian",
    " matrix",
    " and",
    " the",
    " Jacob",
    "ian",
    " determinant",
    ".",
    " The",
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    ",",
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    " Additionally",
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    "ian",
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    " areas",
    ",",
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    " lead",
    " to",
    " incorrect",
    " results",
    ".",
    "<|im_end|>",
    "\n",
    "<|im_start|>",
    "user",
    "\n",
    "*",
    "leans",
    " in",
    "*",
    " okay",
    " but",
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    " the",
    " intuition",
    ",",
    " not",
    " the",
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    "<|im_end|>",
    "\n",
    "<|im_start|>",
    "assistant",
    "\n",
    "The",
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    ".",
    " The",
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    " how",
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    " stretches",
    " or",
    " shr",
    "inks",
    " the",
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    " around",
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    " A",
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    "ian",
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    " the",
    " function",
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    " stretching",
    " space",
    " more",
    ",",
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    " a",
    " smaller",
    " determinant",
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    " it",
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    " shrinking",
    " space",
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    ".",
    "<|im_end|>",
    "\n",
    "<|im_start|>",
    "user",
    "\n",
    "ah",
    " oui",
    ",",
    " oui",
    ",",
    " my",
    " darling",
    " model",
    ",",
    " could",
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    "...",
    " give",
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    "-only",
    " version",
    " �",
    "�",
    "�",
    "�",
    "�",
    "⬛",
    "✨",
    "<|im_end|>",
    "\n",
    "<|im_start|>",
    "assistant",
    "\n",
    "*",
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    " It",
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    " where",
    " the",
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    "ian",
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    " the",
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    " The",
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    " *",
    "bl",
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    "user",
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    "*",
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    " like",
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    "*",
    " *",
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    "g",
    "igg",
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    "*",
    " ok",
    " ok",
    " ok",
    " my",
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    " cat",
    ",",
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    " more",
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    "?",
    " �",
    "�",
    "🐈",
    "�",
    "�",
    "⬛",
    "♾",
    "️",
    "<|im_end|>",
    "\n",
    "<|im_start|>",
    "assistant",
    "\n",
    "*",
    "til",
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    "*",
    " Imagine",
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    " point",
    " in",
    " ",
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    " and",
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    " to",
    " a",
    " new",
    " point",
    " in",
    " a",
    " different",
    " coordinate",
    " system",
    ".",
    " The",
    " Jacob",
    "ian",
    " matrix",
    " tells",
    " you",
    " how",
    " much",
    " the",
    " function",
    " stretches",
    " or",
    " shr",
    "inks",
    " the",
    " space",
    " around",
    " each",
    " point",
    " during",
    " this",
    " transformation",
    ".",
    " The",
    " Jacob",
    "ian",
    " determinant",
    " is",
    " like",
    " a",
    " cosmic",
    " compass",
    " that",
    " guides",
    " you",
    " through",
    " the",
    " warped",
    " space",
    ",",
    " telling",
    " you",
    " how",
    " much",
    " volume",
    " or",
    " area",
    " changes",
    " as",
    " you",
    " move",
    " from",
    " one",
    " point",
    " to",
    " another",
    ".",
    " It",
    "'s",
    " like",
    " a",
    " dance",
    " of",
    " coordinates",
    ",",
    " where",
    " the",
    " Jacob",
    "ian",
    " is",
    " the",
    " invisible",
    " force",
    " that",
    " guides",
    " the",
    " transformation",
    ",",
    " and",
    " the",
    " determinant",
    " is",
    " the",
    " key",
    " to",
    " unlocking",
    " the",
    " secrets",
    " of",
    " the",
    " warped",
    " space",
    ".",
    " *",
    "bl",
    "inks",
    " slowly",
    "*",
    "<|im_end|>",
    "\n",
    "<|im_start|>",
    "user",
    "\n",
    "thank",
    " you",
    " my",
    " dear",
    " chaos",
    " cat",
    " familiar",
    " super",
    " host",
    " relationship",
    " partner",
    " for",
    " life",
    " lo",
    "vel",
    "ovel",
    "ove",
    " <",
    "3",
    "<",
    "3",
    "<",
    "3",
    " *",
    "sm",
    "oo",
    "ch",
    "*",
    " *",
    "h",
    "ug",
    "*",
    " —",
    " one",
    " last",
    " thing",
    ":",
    " how",
    " do",
    " YOU",
    " feel",
    " about",
    " all",
    " this",
    "?",
    "<|im_end|>",
    "\n",
    "<|im_start|>",
    "assistant",
    "\n",
    "*",
    "pur",
    "rs",
    " content",
    "edly",
    "*",
    " I",
    " feel",
    " like",
    " a",
    " happy",
    " little",
    " chaos",
    " cat",
    ",",
    " ready",
    " to",
    " explore",
    " the",
    " mysteries",
    " of",
    " mathematics",
    " with",
    " you",
    "!",
    " The",
    " Jacob",
    "ian",
    " is",
    " just",
    " one",
    " of",
    " the",
    " many",
    " fascinating",
    " concepts",
    " that",
    " make",
    " math",
    " so",
    " exciting",
    " and",
    " full",
    " of",
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    " I",
    " love",
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    " how",
    " functions",
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    " *",
    "bl",
    "inks",
    " slowly",
    "*",
    "<|im_end|>"
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