|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
http://functions.wolfram.com/09.07.04.0001.01
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
DomainAndRange[Function[{three, z, q}, EllipticThetaPrime[3, z, q]]] ==
ProductSet[{3}, Complexes, Complexes] \[LongRightArrow] Complexes
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Cell[BoxData[RowBox[List[RowBox[List["DomainAndRange", "[", RowBox[List["Function", "[", RowBox[List[RowBox[List["{", RowBox[List["three", ",", "z", ",", "q"]], "}"]], ",", " ", RowBox[List["EllipticThetaPrime", "[", RowBox[List["3", ",", "z", ",", "q"]], "]"]]]], "]"]], "]"]], " ", "\[Equal]", "\[IndentingNewLine]", RowBox[List[RowBox[List["ProductSet", "[", RowBox[List[RowBox[List["{", "3", "}"]], ",", "Complexes", ",", "Complexes"]], "]"]], "\[LongRightArrow]", "Complexes"]]]]]]
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
<math xmlns='http://www.w3.org/1998/Math/MathML' mathematica:form='TraditionalForm' xmlns:mathematica='http://www.wolfram.com/XML/'> <semantics> <mrow> <mrow> <mrow> <mo> ( </mo> <mrow> <mn> 3 </mn> <mo> * </mo> <mi> z </mi> <mo> * </mo> <mi> q </mi> </mrow> <mo> ) </mo> </mrow> <mo> ⟶ </mo> <mrow> <msubsup> <mi> ϑ </mi> <mn> 3 </mn> <mo> ′ </mo> </msubsup> <mo> ( </mo> <mrow> <mi> z </mi> <mo> , </mo> <mi> q </mi> </mrow> <mo> ) </mo> </mrow> </mrow> <mo> ∷ </mo> <mrow> <mrow> <mo> ( </mo> <mrow> <mrow> <mo> { </mo> <mn> 3 </mn> <mo> } </mo> </mrow> <mo> ⊗ </mo> <mi> ℂ </mi> <mo> ⊗ </mo> <mi> ℂ </mi> </mrow> <mo> ) </mo> </mrow> <mo> ⟶ </mo> <mi> ℂ </mi> </mrow> </mrow> <annotation-xml encoding='MathML-Content'> <apply> <ci> Proportion </ci> <apply> <ci> LongRightArrow </ci> <apply> <times /> <cn type='integer'> 3 </cn> <ci> z </ci> <ci> q </ci> </apply> <apply> <apply> <partialdiff /> <list> <cn type='integer'> 1 </cn> </list> <apply> <ci> Subscript </ci> <ci> ϑ </ci> <cn type='integer'> 3 </cn> </apply> </apply> <ci> z </ci> <ci> q </ci> </apply> </apply> <apply> <ci> LongRightArrow </ci> <apply> <ci> CircleTimes </ci> <list> <cn type='integer'> 3 </cn> </list> <ci> ℂ </ci> <ci> ℂ </ci> </apply> <ci> ℂ </ci> </apply> </apply> </annotation-xml> </semantics> </math>
|
|
|
|
|
|
|
|
|
|
| |
|
|
|
|
| Cell[BoxData[RowBox[List[RowBox[List["HoldPattern", "[", RowBox[List["DomainAndRange", "[", RowBox[List["Function", "[", RowBox[List[RowBox[List["{", RowBox[List["three_", ",", "z_", ",", "q_"]], "}"]], ",", RowBox[List["EllipticThetaPrime", "[", RowBox[List["3", ",", "z_", ",", "q_"]], "]"]]]], "]"]], "]"]], "]"]], "\[RuleDelayed]", RowBox[List[RowBox[List["ProductSet", "[", RowBox[List[RowBox[List["{", "3", "}"]], ",", "Complexes", ",", "Complexes"]], "]"]], "\[LongRightArrow]", "Complexes"]]]]]] |
|
|
|
|
|
|
|
|
|
|
Date Added to functions.wolfram.com (modification date)
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|