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Display information for equation id:math.248805.15 on revision:248805

* Page found: Gradient theorem (eq math.248805.15)

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Hash: 8b9f881047640b76932c34a73764aacb

TeX (original user input): 

 U_e(\mathbf{r}) :=  -\int_{\gamma[\mathbf{a},\mathbf{r}]} \mathbf{F}_e(\mathbf{u}) \cdot d\mathbf{u}

TeX (checked): 

U_{e}(\mathbf {r} ):=-\int _{\gamma [\mathbf {a} ,\mathbf {r} ]}\mathbf {F} _{e}(\mathbf {u} )\cdot d\mathbf {u}

LaTeXML (experimental; uses MathML) rendering

MathML (6.616 KB / 1.175 KB) :

U e ⁢ ( 𝐫 ) := - ∫ γ ⁢ [ 𝐚 , 𝐫 ] 𝐅 e ⁢ ( 𝐮 ) ⋅ 𝑑 𝐮 assign subscript 𝑈 𝑒 𝐫 subscript 𝛾 𝐚 𝐫 ⋅ subscript 𝐅 𝑒 𝐮 differential-d 𝐮 {\displaystyle U_{e}({\mathbf{r}}):=-\int_{{\gamma[{\mathbf{a}},{\mathbf{r}}]}% }{\mathbf{F}}_{e}({\mathbf{u}})\cdot d{\mathbf{u}}} 
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SVG (10.908 KB / 3.826 KB) :

upper U Subscript e Baseline times left-parenthesis bold r right-parenthesis colon equals minus integral Underscript gamma times left-bracket bold a comma bold r right-bracket Endscripts bold upper F Subscript e Baseline times left-parenthesis bold u right-parenthesis dot italic d bold u

SVG with PNG fallback (MathML can be enabled via browser plugin) rendering

MathML (1.879 KB / 498 B) :

U e ( r ) := − ∫ γ [ a , r ] F e ( u ) ⋅ d u {\displaystyle U_{e}(\mathbf {r} ):=-\int _{\gamma [\mathbf {a} ,\mathbf {r} ]}\mathbf {F} _{e}(\mathbf {u} )\cdot d\mathbf {u} } 
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SVG (8.387 KB / 3.476 KB) :

{\displaystyle U_{e}(\mathbf {r} ):=-\int _{\gamma [\mathbf {a} ,\mathbf {r} ]}\mathbf {F} _{e}(\mathbf {u} )\cdot d\mathbf {u} }

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