Ceiling function: Specific values (formula 04.02.03.0018)

Ceiling

$Mathematica Notation$

http://functions.wolfram.com/04.02.03.0018.01

Input Form

Ceiling[(-I) Infinity] == -DirectedInfinity[Complex[0, 1]]

Standard Form

Cell[BoxData[RowBox[List[RowBox[List["Ceiling", "[", RowBox[List[RowBox[List["-", "\[ImaginaryI]"]], " ", "\[Infinity]"]], "]"]], "\[Equal]", RowBox[List["-", InterpretationBox[RowBox[List["\[ImaginaryI]", " ", "\[Infinity]"]], DirectedInfinity[Complex[0, 1]]]]]]]]]

MathML Form

<math xmlns='http://www.w3.org/1998/Math/MathML' mathematica:form='TraditionalForm' xmlns:mathematica='http://www.wolfram.com/XML/'> <semantics> <mrow> <mrow> <mo> ⌈ </mo> <mrow> <mrow> <mo> - </mo> <mi> ⅈ </mi> </mrow> <mo> ⁢ </mo> <mi> ∞ </mi> </mrow> <mo> ⌉ </mo> </mrow> <mo> ⩵ </mo> <mrow> <mo> - </mo> <semantics> <mrow> <mi> ⅈ </mi> <mo> ⁢ </mo> <mi> ∞ </mi> </mrow> <annotation-xml encoding='MathML-Content'> <apply> <ci> DirectedInfinity </ci> <cn type='complex-cartesian'> 0 <sep /> 1 </cn> </apply> </annotation-xml> </semantics> </mrow> </mrow> <annotation-xml encoding='MathML-Content'> <apply> <eq /> <apply> <ceiling /> <apply> <times /> <apply> <times /> <cn type='integer'> -1 </cn> <imaginaryi /> </apply> <infinity /> </apply> </apply> <apply> <times /> <cn type='integer'> -1 </cn> <apply> <ci> DirectedInfinity </ci> <cn type='complex-cartesian'> 0 <sep /> 1 </cn> </apply> </apply> </apply> </annotation-xml> </semantics> </math>

Rule Form

Cell[BoxData[RowBox[List[RowBox[List["HoldPattern", "[", RowBox[List["Ceiling", "[", RowBox[List[RowBox[List["-", "\[ImaginaryI]"]], " ", "\[Infinity]"]], "]"]], "]"]], "\[RuleDelayed]", RowBox[List["-", RowBox[List["(", TagBox[RowBox[List[TagBox[RowBox[List["Complex", "[", RowBox[List["0", ",", "1"]], "]"]], "DirectedInfinityCoefficient", Rule[Editable, True]], " ", "\[Infinity]"]], DirectedInfinity, Rule[Editable, False]], ")"]]]]]]]]

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

2001-10-29