{ "cells" : [ { "cell_origin" : "client", "cell_type" : "latex", "cells" : [ { "cell_origin" : "client", "cell_type" : "latex_view", "source" : "\\property{DAntiSymmetric}{Gives object the symmetries of the derivative of a fully antisymmetric tensor.}\n\nDeclares an object to have the symmetries of the derivative of a fully\nanti-symmetric tensor, i.e.~to have a \\prop{TableauSymmetry}\ncorresponding to a hook-shape Young tableau." } ], "hidden" : true, "source" : "\\property{DAntiSymmetric}{Gives object the symmetries of the derivative of a fully antisymmetric tensor.}\n\nDeclares an object to have the symmetries of the derivative of a fully\nanti-symmetric tensor, i.e.~to have a \\prop{TableauSymmetry}\ncorresponding to a hook-shape Young tableau." }, { "cell_origin" : "client", "cell_type" : "input", "cells" : [ { "cell_origin" : "server", "cell_type" : "latex_view", "source" : "\\begin{dmath*}{}\\text{Attached property DAntiSymmetric to~}{DF}_(mnpq).\\end{dmath*}" }, { "cell_origin" : "server", "cell_type" : "latex_view", "source" : "\\begin{dmath*}{}\\text{Attached property AntiSymmetric to~}{A}_(mnpq).\\end{dmath*}" }, { "cell_origin" : "server", "cell_type" : "latex_view", "source" : "\\begin{dmath*}{}DF_{m n p q} A^{m n p q}\\end{dmath*}" } ], "source" : "DF_{m n p q}::DAntiSymmetric;\nA_{m n p q}::AntiSymmetric;\nex:=DF_{m n p q} A^{m n p q};" }, { "cell_origin" : "client", "cell_type" : "input", "cells" : [ { "cell_origin" : "server", "cell_type" : "latex_view", "source" : "\\begin{dmath*}{}DF^{m n p q} A_{m n p q}\\end{dmath*}" } ], "source" : "" }, { "cell_origin" : "client", "cell_type" : "latex", "cells" : [ { "cell_origin" : "client", "cell_type" : "latex_view", "source" : "The symmetries can also be declared directly\nusing \\prop{TableauSymmetry} but it is usually easier to read the\n\\prop{DAntiSymmetric} form.\n" } ], "hidden" : true, "source" : "The symmetries can also be declared directly\nusing \\prop{TableauSymmetry} but it is usually easier to read the\n\\prop{DAntiSymmetric} form.\n" }, { "cell_origin" : "client", "cell_type" : "input", "source" : "" } ], "description" : "Cadabra JSON notebook format", "version" : 1.0 }