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 Sqrt

 http://functions.wolfram.com/01.01.27.0003.01

 Input Form

 Sqrt[z^2] == -z /; Inequality[Pi/2, Less, Arg[z], LessEqual, Pi] || Inequality[-Pi, Less, Arg[z], LessEqual, Pi/2]

 Standard Form

 Cell[BoxData[RowBox[List[RowBox[List[SqrtBox[SuperscriptBox["z", "2"]], "\[Equal]", RowBox[List["-", "z"]]]], "/;", RowBox[List[RowBox[List[FractionBox["\[Pi]", "2"], "<", RowBox[List["Arg", "[", "z", "]"]], "\[LessEqual]", "\[Pi]"]], "\[Or]", RowBox[List[RowBox[List["-", "\[Pi]"]], "<", RowBox[List["Arg", "[", "z", "]"]], "\[LessEqual]", FractionBox["\[Pi]", "2"]]]]]]]]]

 MathML Form

 z 2 - z /; π 2 < arg ( z ) π - π < arg ( z ) π 2 Condition z 2 1 2 -1 z Inequality 2 -1 z Inequality -1 z 2 -1 [/itex]

 Rule Form

 Cell[BoxData[RowBox[List[RowBox[List["HoldPattern", "[", SqrtBox[SuperscriptBox["z_", "2"]], "]"]], "\[RuleDelayed]", RowBox[List[RowBox[List["-", "z"]], "/;", RowBox[List[RowBox[List[FractionBox["\[Pi]", "2"], "<", RowBox[List["Arg", "[", "z", "]"]], "\[LessEqual]", "\[Pi]"]], "||", RowBox[List[RowBox[List["-", "\[Pi]"]], "<", RowBox[List["Arg", "[", "z", "]"]], "\[LessEqual]", FractionBox["\[Pi]", "2"]]]]]]]]]]]

 Date Added to functions.wolfram.com (modification date)

 2001-10-29