{ "cell_id" : 11106264074822655606, "cells" : [ { "cell_id" : 7416860080608086163, "cell_origin" : "client", "cell_type" : "latex", "cells" : [ { "cell_id" : 1537526125551451146, "cell_origin" : "client", "cell_type" : "latex_view", "source" : "\\algorithm{eliminate_vielbein}{Eliminates vielbein objects.}\n\nIndices of one type can be converted to another type by using a vielbein or inverse \nvielbein object." } ], "hidden" : true, "source" : "\\algorithm{eliminate_vielbein}{Eliminates vielbein objects.}\n\nIndices of one type can be converted to another type by using a vielbein or inverse \nvielbein object." }, { "cell_id" : 13229131517806571971, "cell_origin" : "client", "cell_type" : "input", "cells" : [ { "cell_id" : 9223372036854775809, "cell_origin" : "server", "cell_type" : "latex_view", "cells" : [ { "cell_id" : 9223372036854775810, "cell_origin" : "server", "cell_type" : "input_form", "source" : "H_{m n p} e^{m}_{\\mu} e^{p}_{\\rho}" } ], "source" : "\\begin{dmath*}{}H_{m n p} e^{m}\\,_{\\mu} e^{p}\\,_{\\rho}\\end{dmath*}" }, { "cell_id" : 9223372036854775811, "cell_origin" : "server", "cell_type" : "latex_view", "cells" : [ { "cell_id" : 9223372036854775812, "cell_origin" : "server", "cell_type" : "input_form", "source" : "H_{\\mu n \\rho}" } ], "source" : "\\begin{dmath*}{}H_{\\mu n \\rho}\\end{dmath*}" } ], "source" : "{ m, n, p }::Indices(flat).\n{ \\mu, \\nu, \\rho }::Indices(curved).\ne^{m}_{\\mu}::Vielbein.\nex:= H_{m n p} e^{m}_{\\mu} e^{p}_{\\rho};\neliminate_vielbein(_, repeat=True);" }, { "cell_id" : 11698189436523020544, "cell_origin" : "client", "cell_type" : "latex", "cells" : [ { "cell_id" : 13335616640459284672, "cell_origin" : "client", "cell_type" : "latex_view", "source" : "This is similar to \\algo{eliminate_metric}." } ], "hidden" : true, "source" : "This is similar to \\algo{eliminate_metric}." }, { "cell_id" : 12210912534254123318, "cell_origin" : "client", "cell_type" : "input", "source" : "" } ], "description" : "Cadabra JSON notebook format", "version" : 1 }