{
	"cells" : 
	[
		{
			"cell_origin" : "client",
			"cell_type" : "latex",
			"cells" : 
			[
				{
					"cell_origin" : "client",
					"cell_type" : "latex_view",
					"source" : "\\algorithm{expand_power}{Expand powers into repeated products}\n\nExpand powers into repeated products, i.e.~do the opposite\nof \\algo{collect_factors}. For example,"
				}
			],
			"hidden" : true,
			"source" : "\\algorithm{expand_power}{Expand powers into repeated products}\n\nExpand powers into repeated products, i.e.~do the opposite\nof \\algo{collect_factors}. For example,"
		},
		{
			"cell_origin" : "client",
			"cell_type" : "input",
			"cells" : 
			[
				{
					"cell_origin" : "server",
					"cell_type" : "latex_view",
					"source" : "\\begin{dmath*}{}\\left(A B\\right)^{3}\\end{dmath*}"
				}
			],
			"source" : "ex:=(A B)**3;"
		},
		{
			"cell_origin" : "client",
			"cell_type" : "input",
			"cells" : 
			[
				{
					"cell_origin" : "server",
					"cell_type" : "latex_view",
					"source" : "\\begin{dmath*}{}A B A B A B\\end{dmath*}"
				}
			],
			"source" : "expand_power(_);"
		},
		{
			"cell_origin" : "client",
			"cell_type" : "input",
			"cells" : 
			[
				{
					"cell_origin" : "server",
					"cell_type" : "latex_view",
					"source" : "\\begin{dmath*}{}A A A B B B\\end{dmath*}"
				}
			],
			"source" : "sort_product(_);"
		},
		{
			"cell_origin" : "client",
			"cell_type" : "input",
			"cells" : 
			[
				{
					"cell_origin" : "server",
					"cell_type" : "latex_view",
					"source" : "\\begin{dmath*}{}A^{3} B^{3}\\end{dmath*}"
				}
			],
			"source" : "collect_factors(_);"
		},
		{
			"cell_origin" : "client",
			"cell_type" : "latex",
			"cells" : 
			[
				{
					"cell_origin" : "client",
					"cell_type" : "latex_view",
					"source" : "This command automatically takes care of index relabelling when\nnecessary, as in the following example"
				}
			],
			"hidden" : true,
			"source" : "This command automatically takes care of index relabelling when\nnecessary, as in the following example"
		},
		{
			"cell_origin" : "client",
			"cell_type" : "input",
			"cells" : 
			[
				{
					"cell_origin" : "server",
					"cell_type" : "latex_view",
					"source" : "\\begin{dmath*}{}\\left(A_{m} B_{m}\\right)^{3}\\end{dmath*}"
				}
			],
			"source" : "{m,n,p,q,r}::Indices(vector).\nex:= (A_m B_m)**3;"
		},
		{
			"cell_origin" : "client",
			"cell_type" : "input",
			"cells" : 
			[
				{
					"cell_origin" : "server",
					"cell_type" : "latex_view",
					"source" : "\\begin{dmath*}{}A_{m} B_{m} A_{n} B_{n} A_{p} B_{p}\\end{dmath*}"
				}
			],
			"source" : "expand_power(_);"
		},
		{
			"cell_origin" : "client",
			"cell_type" : "input",
			"source" : ""
		}
	],
	"description" : "Cadabra JSON notebook format",
	"version" : 1
}