Complex infinity: Transformations (formula 02.12.16.0002)

ComplexInfinity

$Mathematica Notation$

Constants

ComplexInfinity

Transformations

Products, sums, and powers of the direct function

Products involving the direct function

http://functions.wolfram.com/02.12.16.0002.01

Input Form

a ComplexInfinity == ComplexInfinity /; a != 0

Standard Form

Cell[BoxData[RowBox[List[RowBox[List[RowBox[List["a", " ", "ComplexInfinity"]], "\[Equal]", "ComplexInfinity"]], "/;", RowBox[List["a", "\[NotEqual]", "0"]]]]]]

MathML Form

<math xmlns='http://www.w3.org/1998/Math/MathML' mathematica:form='TraditionalForm' xmlns:mathematica='http://www.wolfram.com/XML/'> <semantics> <mrow> <mrow> <mrow> <mi> a </mi> <mo> ⁢ </mo> <mover> <mi> ∞ </mi> <mo> ~ </mo> </mover> </mrow> <mo> ⩵ </mo> <mover> <mi> ∞ </mi> <mo> ~ </mo> </mover> </mrow> <mo> /; </mo> <mrow> <mi> a </mi> <mo> ≠ </mo> <mn> 0 </mn> </mrow> </mrow> <annotation-xml encoding='MathML-Content'> <apply> <ci> Condition </ci> <apply> <eq /> <apply> <times /> <ci> a </ci> <apply> <ci> OverTilde </ci> <infinity /> </apply> </apply> <apply> <ci> OverTilde </ci> <infinity /> </apply> </apply> <apply> <neq /> <ci> a </ci> <cn type='integer'> 0 </cn> </apply> </apply> </annotation-xml> </semantics> </math>

Rule Form

Cell[BoxData[RowBox[List[RowBox[List["HoldPattern", "[", RowBox[List["a_", " ", "ComplexInfinity"]], "]"]], "\[RuleDelayed]", RowBox[List["ComplexInfinity", "/;", RowBox[List["a", "\[NotEqual]", "0"]]]]]]]]

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

2001-10-29