Deprecated : $wgMWOAuthSharedUserIDs=false is deprecated, set $wgMWOAuthSharedUserIDs=true, $wgMWOAuthSharedUserSource='local' instead [Called from MediaWiki\HookContainer\HookContainer::run in /var/www/html/w/includes/HookContainer/HookContainer.php at line 135] in /var/www/html/w/includes/Debug/MWDebug.php on line 372 DLMF:36.12.E10 - MaRDI portal
Statements
G
n
(
𝐲
)
=
g
(
t
n
(
𝐲
)
,
𝐲
)
∂
2
Φ
K
(
t
n
(
𝐱
(
𝐲
)
)
;
𝐱
(
𝐲
)
)
/
∂
t
2
∂
2
f
(
u
n
(
𝐲
)
)
/
∂
u
2
.
subscript
𝐺
𝑛
𝐲
𝑔
subscript
𝑡
𝑛
𝐲
𝐲
partial-derivative
cuspoid-catastrophe
𝐾
subscript
𝑡
𝑛
𝐱
𝐲
𝐱
𝐲
𝑡
2
partial-derivative
𝑓
subscript
𝑢
𝑛
𝐲
𝑢
2
{\displaystyle{\displaystyle G_{n}(\mathbf{y})=g(t_{n}(\mathbf{y}),\mathbf{y})%
\sqrt{\frac{\ifrac{{\partial}^{2}\Phi_{K}\left(t_{n}(\mathbf{x}(\mathbf{y}));%
\mathbf{x}(\mathbf{y})\right)}{{\partial t}^{2}}}{\ifrac{{\partial}^{2}f(u_{n}%
(\mathbf{y}))}{{\partial u}^{2}}}}.}}
Φ
K
(
t
;
𝐱
)
cuspoid-catastrophe
𝐾
𝑡
𝐱
{\displaystyle{\displaystyle\Phi_{\NVar{K}}\left(\NVar{t};\NVar{\mathbf{x}}%
\right)}}
∂
f
∂
x
partial-derivative
𝑓
𝑥
{\displaystyle{\displaystyle\frac{\partial\NVar{f}}{\partial\NVar{x}}}}
∂
x
𝑥
{\displaystyle{\displaystyle\partial\NVar{x}}}
m
𝑚
{\displaystyle{\displaystyle m}}
t
𝑡
{\displaystyle{\displaystyle t}}
K
𝐾
{\displaystyle{\displaystyle K}}
g
(
u
,
𝐲
)
𝑔
𝑢
𝐲
{\displaystyle{\displaystyle g(u,\mathbf{y})}}
f
(
u
,
𝐲
)
𝑓
𝑢
𝐲
{\displaystyle{\displaystyle f(u,\mathbf{y})}}
u
(
t
;
𝐲
)
𝑢
𝑡
𝐲
{\displaystyle{\displaystyle u(t;\mathbf{y})}}
t
j
(
𝐱
)
subscript
𝑡
𝑗
𝐱
{\displaystyle{\displaystyle t_{j}(\mathbf{x})}}
Identifiers
