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chore: sync progress
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tiankaima committed Jun 4, 2024
1 parent 40f241e commit efc03b2
Showing 1 changed file with 101 additions and 1 deletion.
102 changes: 101 additions & 1 deletion tmp/20231110py.ipynb
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},
{
"cell_type": "code",
"execution_count": null,
"execution_count": 5,
"id": "7929b763-7c8e-45c2-a37f-f20aa81db140",
"metadata": {},
"outputs": [
{
"data": {
"text/latex": [
"\n",
"\\begin{equation}\n",
"\\left\\{\n",
"\\begin{aligned}\n",
"&y''(x)=\\frac{x^3}{y'(x)}+\\frac{y'(x)}{x}, \\\\\n",
"&y(1)=0, \\\\\n",
"&y'(1)=2 \\\\\n",
"\\end{aligned}\n",
"\\right.\n",
"\\end{equation}\n"
],
"text/plain": [
"<IPython.core.display.Latex object>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"%%latex\n",
"\n",
"\\begin{equation}\n",
"\\left\\{\n",
"\\begin{aligned}\n",
"&y''(x)=\\frac{x^3}{y'(x)}+\\frac{y'(x)}{x}, \\\\\n",
"&y(1)=0, \\\\\n",
"&y'(1)=2 \\\\\n",
"\\end{aligned}\n",
"\\right.\n",
"\\end{equation}"
]
},
{
"cell_type": "code",
"execution_count": 6,
"id": "4ae05a7f-5815-44f3-a267-137868cb8378",
"metadata": {},
"outputs": [
{
"data": {
"text/latex": [
"\\begin{equation}\n",
"\\lim\\limits_{\\lVert T\\rVert\\to 0}\n",
"\\end{equation}\n"
],
"text/plain": [
"<IPython.core.display.Latex object>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"%%latex\n",
"\\begin{equation}\n",
"\\lim\\limits_{\\lVert T\\rVert\\to 0}\n",
"\\end{equation}"
]
},
{
"cell_type": "code",
"execution_count": 4,
"id": "e2f5d541-8c2e-45a7-ad8a-130b1bf93233",
"metadata": {},
"outputs": [
{
"data": {
"text/latex": [
"\\begin{equation}\n",
"\\frac{1}{\\sqrt{2}} \\left(\\log \\left(\\frac{\\sqrt{2} \\sqrt{-x^2+x+2}}{x-2}+1\\right)-\\log\n",
" \\left(1-\\frac{\\sqrt{2} \\sqrt{-x^2+x+2}}{x-2}\\right)\\right)\n",
"\\end{equation}\n"
],
"text/plain": [
"<IPython.core.display.Latex object>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"%%latex\n",
"\\begin{equation}\n",
"\\frac{1}{\\sqrt{2}} \\left(\\log \\left(\\frac{\\sqrt{2} \\sqrt{-x^2+x+2}}{x-2}+1\\right)-\\log\n",
" \\left(1-\\frac{\\sqrt{2} \\sqrt{-x^2+x+2}}{x-2}\\right)\\right)\n",
"\\end{equation}"
]
},
{
"cell_type": "code",
"execution_count": null,
"id": "3c11ad38-a236-472b-9a4d-41c0ff1ed48d",
"metadata": {},
"outputs": [],
"source": []
}
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