{ "cells" : [ { "cell_origin" : "client", "cell_type" : "input", "source" : "import cdb.gr as gr" }, { "cell_origin" : "client", "cell_type" : "input", "cells" : [ { "cell_origin" : "server", "cell_type" : "output", "source" : "\\begin{verbatim}Help on function RiemannFromChristoffel in module cdb.gr:\n\nRiemannFromChristoffel(R, c)\n @param R: Riemann tensor.\n @param c: Christoffel symbol.\n\n\\end{verbatim}" } ], "source" : "help(gr.RiemannFromChristoffel)" }, { "cell_origin" : "client", "cell_type" : "input", "cells" : [ { "cell_origin" : "server", "cell_type" : "latex_view", "source" : "\\begin{dmath*}{}@\\left(R\\right)\\,^{\\rho}\\,_{\\sigma \\mu \\nu} = \\partial_{\\mu}\\left(@\\left(c\\right)\\,^{\\rho}\\,_{\\nu \\sigma}\\right)-\\partial_{\\nu}\\left(@\\left(c\\right)\\,^{\\rho}\\,_{\\mu \\sigma}\\right)+@\\left(c\\right)\\,^{\\rho}\\,_{\\mu \\lambda} @\\left(c\\right)\\,^{\\lambda}\\,_{\\nu \\sigma}-@\\left(c\\right)\\,^{\\rho}\\,_{\\nu \\lambda} @\\left(c\\right)\\,^{\\lambda}\\,_{\\mu \\sigma}\\end{dmath*}" } ], "source" : "ex=gr.RiemannFromChristoffel($R$, $\\Gamma$);" }, { "cell_origin" : "client", "cell_type" : "input", "cells" : [ { "cell_origin" : "server", "cell_type" : "verbatim", "source" : "\\begin{verbatim}\\end{verbatim}" } ], "source" : "type(ex);" }, { "cell_origin" : "client", "cell_type" : "input", "cells" : [ { "cell_origin" : "server", "cell_type" : "verbatim", "source" : "\\begin{verbatim}\\end{verbatim}" } ], "source" : "ex.____;" }, { "cell_origin" : "client", "cell_type" : "input", "source" : "" } ], "description" : "Cadabra JSON notebook format", "version" : 1 }