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 Sqrt

 http://functions.wolfram.com/01.01.16.0071.01

 Input Form

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

 Standard Form

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

 MathML Form

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

 Rule Form

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

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

 2007-05-02