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 Cosh

 http://functions.wolfram.com/01.20.16.0105.01

 Input Form

 (Cosh[z] - Sinh[z])^n == E^((-n) z) /; Element[n, Integers] && n >= 0

 Standard Form

 Cell[BoxData[RowBox[List[RowBox[List[SuperscriptBox[RowBox[List["(", RowBox[List[RowBox[List["Cosh", "[", "z", "]"]], "-", RowBox[List["Sinh", "[", "z", "]"]]]], ")"]], "n"], "\[Equal]", SuperscriptBox["\[ExponentialE]", RowBox[List[RowBox[List["-", "n"]], " ", "z"]]]]], "/;", RowBox[List[RowBox[List["Element", "[", RowBox[List["n", ",", "Integers"]], "]"]], "\[And]", RowBox[List["n", "\[GreaterEqual]", "0"]]]]]]]]

 MathML Form

 ( cosh ( z ) - sinh ( z ) ) n - n z /; n Condition z -1 z n -1 n z n [/itex]

 Rule Form

 Cell[BoxData[RowBox[List[RowBox[List["HoldPattern", "[", SuperscriptBox[RowBox[List["(", RowBox[List[RowBox[List["Cosh", "[", "z_", "]"]], "-", RowBox[List["Sinh", "[", "z_", "]"]]]], ")"]], "n_"], "]"]], "\[RuleDelayed]", RowBox[List[SuperscriptBox["\[ExponentialE]", RowBox[List[RowBox[List["-", "n"]], " ", "z"]]], "/;", RowBox[List[RowBox[List["n", "\[Element]", "Integers"]], "&&", RowBox[List["n", "\[GreaterEqual]", "0"]]]]]]]]]]

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

 2001-10-29