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Display information for equation id:math.232331.14 on revision:232331

* Page found: Implicit function theorem (eq math.232331.14)

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Implicit function theorem Eq: math.232331.14

Hash: 5862d203ea760a1e5844b6dcecfb78bd

TeX (original user input):

\{ (\mathbf{x}, g(\mathbf{x}))|\mathbf x \in U  \} = \{ (\mathbf{x}, \mathbf{y}) \in U \times V| f(\mathbf{x}, \mathbf{y}) = \mathbf{c} \}.

TeX (checked):

\{(\mathbf {x} ,g(\mathbf {x} ))|\mathbf {x} \in U\}=\{(\mathbf {x} ,\mathbf {y} )\in U\times V|f(\mathbf {x} ,\mathbf {y} )=\mathbf {c} \}.

LaTeXML (experimental; uses MathML) rendering

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{\displaystyle\{({\mathbf{x}},g({\mathbf{x}}))|{\mathbf{x}}\in U\}=\{({\mathbf% {x}},{\mathbf{y}})\in U\times V|f({\mathbf{x}},{\mathbf{y}})={\mathbf{c}}\}.}

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MathML (2.299 KB / 465 B) :

\{(\mathbf {x} ,g(\mathbf {x} ))|\mathbf {x} \in U\}=\{(\mathbf {x} ,\mathbf {y} )\in U\times V|f(\mathbf {x} ,\mathbf {y} )=\mathbf {c} \}.

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$\mathbf {x}$

$g$

$\mathbf {x}$

$\mathbf {x}$

$U$

$\mathbf {x}$

$\mathbf {y}$

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$V$

$f$

$\mathbf {x}$

$\mathbf {y}$

$\mathbf {c}$

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