{
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  {
   "cell_type": "markdown",
   "id": "a69ceb22",
   "metadata": {},
   "source": [
    "# A simple SymPy example"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "3c43c88e",
   "metadata": {},
   "source": [
    "First we import SymPy and initialize printing:"
   ]
  },
  {
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   "execution_count": null,
   "id": "7b561917",
   "metadata": {
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    }
   },
   "outputs": [],
   "source": [
    "from sympy import diff, init_printing, integrate, sin, symbols"
   ]
  },
  {
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   "execution_count": null,
   "id": "d6454356-d5a6-481f-aaac-9abcc101026a",
   "metadata": {},
   "outputs": [],
   "source": [
    "init_printing()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "fbe0a2f3",
   "metadata": {},
   "source": [
    "Create a few symbols:"
   ]
  },
  {
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   "execution_count": null,
   "id": "c99d7f17",
   "metadata": {
    "jupyter": {
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    }
   },
   "outputs": [],
   "source": [
    "x, y, z = symbols(\"x y z\")"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "f61dddac",
   "metadata": {},
   "source": [
    "Here is a basic expression:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "0cfde73c",
   "metadata": {
    "jupyter": {
     "outputs_hidden": false
    }
   },
   "outputs": [],
   "source": [
    "e = x**2 + 2.0 * y + sin(z)\n",
    "e"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "cb7eb1ad",
   "metadata": {
    "jupyter": {
     "outputs_hidden": false
    }
   },
   "outputs": [],
   "source": [
    "diff(e, x)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "07441ea9",
   "metadata": {
    "jupyter": {
     "outputs_hidden": false
    }
   },
   "outputs": [],
   "source": [
    "integrate(e, z)"
   ]
  }
 ],
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    "name": "ipython",
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