equivariant

التعريفات والمعاني

== English == === Etymology === From equi- +‎ variant. === Adjective === equivariant (not comparable) (mathematics, of a function) Not affected by a specified group action. f : S → T {\displaystyle f:S\to T} is equivariant with respect to g {\displaystyle g\,\!} : for every s {\displaystyle s\,\!} in S {\displaystyle S\,\!} , g T f ( s ) = f ( g S s ) {\displaystyle g_{T}\,\!f(s)=f(g_{S}\,\!s)} , where g S {\displaystyle g_{S}\,\!} and g T {\displaystyle g_{T}\,\!} are actions on different sets of the same group. ==== Derived terms ====