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DLMF:30.13.E5 - MaRDI portal
Statements
h
ϕ
2
=
(
∂
x
∂
ϕ
)
2
+
(
∂
y
∂
ϕ
)
2
+
(
∂
z
∂
ϕ
)
2
=
c
2
(
ξ
2
-
1
)
(
1
-
η
2
)
.
superscript
subscript
ℎ
italic-ϕ
2
superscript
partial-derivative
𝑥
italic-ϕ
2
superscript
partial-derivative
𝑦
italic-ϕ
2
superscript
partial-derivative
𝑧
italic-ϕ
2
superscript
𝑐
2
superscript
𝜉
2
1
1
superscript
𝜂
2
{\displaystyle{\displaystyle h_{\phi}^{2}=\left(\frac{\partial x}{\partial\phi%
}\right)^{2}+\left(\frac{\partial y}{\partial\phi}\right)^{2}+\left(\frac{%
\partial z}{\partial\phi}\right)^{2}=c^{2}(\xi^{2}-1)(1-\eta^{2}).}}
∂
f
∂
x
partial-derivative
𝑓
𝑥
{\displaystyle{\displaystyle\frac{\partial\NVar{f}}{\partial\NVar{x}}}}
∂
x
𝑥
{\displaystyle{\displaystyle\partial\NVar{x}}}
z
𝑧
{\displaystyle{\displaystyle z}}
x
𝑥
{\displaystyle{\displaystyle x}}
y
𝑦
{\displaystyle{\displaystyle y}}
ξ
𝜉
{\displaystyle{\displaystyle\xi}}
η
𝜂
{\displaystyle{\displaystyle\eta}}
ϕ
italic-ϕ
{\displaystyle{\displaystyle\phi}}
c
𝑐
{\displaystyle{\displaystyle c}}
h
ξ
,
h
η
,
h
ϕ
subscript
ℎ
𝜉
subscript
ℎ
𝜂
subscript
ℎ
italic-ϕ
{\displaystyle{\displaystyle h_{\xi},h_{\eta},h_{\phi}}}
Identifiers