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			"cells": [
				{
					"cell_id": 288377247472214505,
					"cell_origin": "client",
					"cell_type": "latex_view",
					"source": "\\section*{Dynamic cell updates}\n\nBy default the output generated by \\verb|display| will generate a new output cell.\nHowever, it is possible to put the output into an existing cell. In order to do this,\nuse the \\verb|cell_id| parameter of the \\verb|display| call, passing it the ID of\nthe cell you want to use for output. To obtain that cell, note that all \\verb|display|\ncalls return the ID of the cell generated or re-used. \n\nThe following example shows how to use this. On the first iteration of the loop\nwe pass the ID '0', which leads to generation of a new cell. The call returns the\nID of the newly generated cell, which is then used for any subsequent iterations of\nthe loop."
				}
			],
			"hidden": true,
			"source": "\\section*{Dynamic cell updates}\n\nBy default the output generated by \\verb|display| will generate a new output cell.\nHowever, it is possible to put the output into an existing cell. In order to do this,\nuse the \\verb|cell_id| parameter of the \\verb|display| call, passing it the ID of\nthe cell you want to use for output. To obtain that cell, note that all \\verb|display|\ncalls return the ID of the cell generated or re-used. \n\nThe following example shows how to use this. On the first iteration of the loop\nwe pass the ID '0', which leads to generation of a new cell. The call returns the\nID of the newly generated cell, which is then used for any subsequent iterations of\nthe loop."
		},
		{
			"cell_id": 13251744526743992062,
			"cell_origin": "client",
			"cell_type": "input",
			"source": "from time import time, sleep"
		},
		{
			"cell_id": 2146353832374992238,
			"cell_origin": "client",
			"cell_type": "input",
			"cells": [
				{
					"cell_id": 13118738148290226086,
					"cell_origin": "server",
					"cell_type": "verbatim",
					"source": "\\begin{verbatim}100\\end{verbatim}"
				}
			],
			"source": "out=0\nfor i in range(100):\n   if i!=0:\n      sleep(0.02)\n   out=display(i+1, cell_id=out)"
		},
		{
			"cell_id": 9892886858352650674,
			"cell_origin": "client",
			"cell_type": "latex",
			"cells": [
				{
					"cell_id": 3080659676924590408,
					"cell_origin": "client",
					"cell_type": "latex_view",
					"source": "You do not necessarily have to refer to an output cell generated by the current input\ncell, as the following example shows. The first input cell generates output, which is\nthen changed by the following output cell."
				}
			],
			"hidden": true,
			"source": "You do not necessarily have to refer to an output cell generated by the current input\ncell, as the following example shows. The first input cell generates output, which is\nthen changed by the following output cell."
		},
		{
			"cell_id": 105907711687349616,
			"cell_origin": "client",
			"cell_type": "input",
			"cells": [
				{
					"cell_id": 2196625473498355352,
					"cell_origin": "server",
					"cell_type": "verbatim",
					"source": "\\begin{verbatim}🍅\\end{verbatim}"
				}
			],
			"source": "out=0\nfor i in range(40):\n   out=display(\"🍅\"*i, cell_id=out)\n   sleep(0.01)"
		},
		{
			"cell_id": 7666176074787439841,
			"cell_origin": "client",
			"cell_type": "input",
			"source": "for i in range(40):\n   out=display(\"🍅\"*(40-i), cell_id=out)\n   sleep(0.01)"
		},
		{
			"cell_id": 17146903837014280937,
			"cell_origin": "client",
			"cell_type": "latex",
			"cells": [
				{
					"cell_id": 3727440420867125456,
					"cell_origin": "client",
					"cell_type": "latex_view",
					"source": "Note that while the updates are reasonably fast, there is of course some overhead;\nthe following cell is a modified version of the first example, timing the total \nrun."
				}
			],
			"hidden": true,
			"source": "Note that while the updates are reasonably fast, there is of course some overhead;\nthe following cell is a modified version of the first example, timing the total \nrun."
		},
		{
			"cell_id": 9488396359116664289,
			"cell_origin": "client",
			"cell_type": "input",
			"cells": [
				{
					"cell_id": 15246750990950781788,
					"cell_origin": "server",
					"cell_type": "verbatim",
					"source": "\\begin{verbatim}1000\\end{verbatim}"
				},
				{
					"cell_id": 14146630577148013707,
					"cell_origin": "server",
					"cell_type": "verbatim",
					"source": "\\begin{verbatim}time taken 1.35 sec\\end{verbatim}"
				}
			],
			"source": "start=time()\nout=0\nfor i in range(1000):\n   if i!=0:\n      sleep(0.001)\n   out=display(i+1, cell_id=out)\nend=time()\ndisplay(f\"time taken {(end-start):.2f} sec\")"
		},
		{
			"cell_id": 12976171920402918008,
			"cell_origin": "client",
			"cell_type": "latex",
			"cells": [
				{
					"cell_id": 6406072888083276979,
					"cell_origin": "client",
					"cell_type": "latex_view",
					"source": "You can also use this mechanism to generate simple animations of functions. If you use \\verb|display|\nto put a plot into an existing output cell, the plot will be replaced."
				}
			],
			"hidden": true,
			"source": "You can also use this mechanism to generate simple animations of functions. If you use \\verb|display|\nto put a plot into an existing output cell, the plot will be replaced."
		},
		{
			"cell_id": 16316670679203193483,
			"cell_origin": "client",
			"cell_type": "input",
			"source": "from cdb.graphics.plot import plot\nimport numpy as np"
		},
		{
			"cell_id": 4578427611787586049,
			"cell_origin": "client",
			"cell_type": "input",
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			],
			"source": "out=0\nfor i in range(3):\n   for v in np.concatenate([np.linspace(1.0, 3.0, 50), np.linspace(3.0, 1.0, 50)]):\n      ex := \\cos(v x) + x;\n      substitute(ex, $v -> @(v)$)\n      out = display(plot(ex, ($x$, 0, 6.28)), out)"
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	"description": "Cadabra JSON notebook format",
	"version": 1.0
}