{
	"cell_id": 12308248189559892792,
	"cells": [
		{
			"cell_id": 6847719313692388189,
			"cell_origin": "client",
			"cell_type": "latex",
			"cells": [
				{
					"cell_id": 12202434670886178648,
					"cell_origin": "client",
					"cell_type": "latex_view",
					"source": "\\property{Coordinate}{Declare a symbol to be a coordinate label.}\n\nDeclare a symbol to be a coordinate label (useful in combination\nwith \\prop{Depends}). This is required if you want to write a\nderivative with respect to a coordinate: if you write"
				}
			],
			"hidden": true,
			"source": "\\property{Coordinate}{Declare a symbol to be a coordinate label.}\n\nDeclare a symbol to be a coordinate label (useful in combination\nwith \\prop{Depends}). This is required if you want to write a\nderivative with respect to a coordinate: if you write"
		},
		{
			"cell_id": 13965430122641534132,
			"cell_origin": "client",
			"cell_type": "input",
			"cells": [
				{
					"cell_id": 2729351009933441984,
					"cell_origin": "server",
					"cell_type": "error",
					"source": "{\\color{red}{\\begin{verbatim}RuntimeError: Free indices in different terms in a sum do not match.\n\nAt:\n  Notebook Cell (Line 2): ex = Ex(r''' A(x,y) + \\partial_{x}{B(x,y)}'''); _=ex; display(ex)\n\\end{verbatim}}}"
				}
			],
			"source": "\\partial{#}::PartialDerivative.\nex:= A(x,y) + \\partial_{x}{B(x,y)};"
		},
		{
			"cell_id": 4819941896955382090,
			"cell_origin": "client",
			"cell_type": "latex",
			"cells": [
				{
					"cell_id": 13958906734848960010,
					"cell_origin": "client",
					"cell_type": "latex_view",
					"source": "will by default be seen as incorrect because the $x$ in the second\nterm will be considered an index label, not a coordinate. The input"
				}
			],
			"hidden": true,
			"source": "will by default be seen as incorrect because the $x$ in the second\nterm will be considered an index label, not a coordinate. The input"
		},
		{
			"cell_id": 14086010329010061981,
			"cell_origin": "client",
			"cell_type": "input",
			"cells": [
				{
					"cell_id": 10147094821929357556,
					"cell_origin": "server",
					"cell_type": "latex_view",
					"cells": [
						{
							"cell_id": 3554707872972432039,
							"cell_origin": "server",
							"cell_type": "input_form",
							"source": "A(x , y) + \\partial_{x}(B(x , y))"
						}
					],
					"source": "\\begin{dmath*}{}A\\left(x , \\discretionary{}{}{}y\\right)\\discretionary{}{}{}+\\partial_{x}{B\\left(x , \\discretionary{}{}{}y\\right)}\\end{dmath*}"
				}
			],
			"source": "{ x, y }::Coordinate.\nex:=A(x,y) + \\partial_{x}{B(x,y)};"
		},
		{
			"cell_id": 16416609308264552501,
			"cell_origin": "client",
			"cell_type": "latex",
			"cells": [
				{
					"cell_id": 17507747920193600578,
					"cell_origin": "client",
					"cell_type": "latex_view",
					"source": "is allowed and interpreted in the right way."
				}
			],
			"hidden": true,
			"source": "is allowed and interpreted in the right way."
		},
		{
			"cell_id": 12903276971402392966,
			"cell_origin": "client",
			"cell_type": "input",
			"source": ""
		}
	],
	"description": "Cadabra JSON notebook format",
	"version": 1.0
}