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DLMF:21.7.E7 - MaRDI portal
Statements
(
∂
∂
z
1
θ
[
𝜶
𝜷
]
(
𝐳
|
𝛀
)
|
𝐳
=
𝟎
,
…
,
∂
∂
z
g
θ
[
𝜶
𝜷
]
(
𝐳
|
𝛀
)
|
𝐳
=
𝟎
)
≠
𝟎
.
evaluated-at
partial-derivative
subscript
𝑧
1
Riemann-theta-characterstics
𝜶
𝜷
𝐳
𝛀
𝐳
0
…
evaluated-at
partial-derivative
subscript
𝑧
𝑔
Riemann-theta-characterstics
𝜶
𝜷
𝐳
𝛀
𝐳
0
0
{\displaystyle{\displaystyle\left(\frac{\partial}{\partial z_{1}}\theta%
\genfrac{[}{]}{0.0pt}{}{\boldsymbol{{\alpha}}}{\boldsymbol{{\beta}}}\left(%
\mathbf{z}\middle|\boldsymbol{{\Omega}}\right)\Big{|}_{\mathbf{z}=\boldsymbol{%
{0}}},\dots,\frac{\partial}{\partial z_{g}}\theta\genfrac{[}{]}{0.0pt}{}{%
\boldsymbol{{\alpha}}}{\boldsymbol{{\beta}}}\left(\mathbf{z}\middle|%
\boldsymbol{{\Omega}}\right)\Big{|}_{\mathbf{z}=\boldsymbol{{0}}}\right)\neq%
\boldsymbol{{0}}.}}
θ
[
𝜶
𝜷
]
(
|
missing
)
Riemann-theta-characterstics
𝜶
𝜷
missing
{\displaystyle{\displaystyle\theta\genfrac{[}{]}{0.0pt}{}{\NVar{\boldsymbol{{%
\alpha}}}}{\NVar{\boldsymbol{{\beta}}}}\left(\middle|missing\right)\)\@add@PDF@RDFa@triples\end{document}}}
∂
f
∂
x
partial-derivative
𝑓
𝑥
{\displaystyle{\displaystyle\frac{\partial\NVar{f}}{\partial\NVar{x}}}}
∂
x
𝑥
{\displaystyle{\displaystyle\partial\NVar{x}}}
g
𝑔
{\displaystyle{\displaystyle g}}
𝛀
𝛀
{\displaystyle{\displaystyle\boldsymbol{{\Omega}}}}
𝜶
𝜶
{\displaystyle{\displaystyle\boldsymbol{{\alpha}}}}
𝜷
𝜷
{\displaystyle{\displaystyle\boldsymbol{{\beta}}}}
Identifiers