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Display information for equation id:math.230503.0 on revision:230503

* Page found: Covariant transformation (eq math.230503.0)

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Hash: b5790f6afb09c06e900201f7ea62cad8

TeX (original user input): 

 \mathbf{v} = \sum_i v^i {\mathbf e}_i  = \sum_j {v'\,}^j \mathbf{e}'_j.

TeX (checked): 

\mathbf {v} =\sum _{i}v^{i}{\mathbf {e} }_{i}=\sum _{j}{v'\,}^{j}\mathbf {e} '_{j}.

LaTeXML (experimental; uses MathML) rendering

MathML (7.303 KB / 1.138 KB) :

𝐯 = ∑ i v i ⁢ 𝐞 i = ∑ j v ′ j ⁢ 𝐞 j ′ . 𝐯 subscript 𝑖 superscript 𝑣 𝑖 subscript 𝐞 𝑖 subscript 𝑗 superscript superscript 𝑣 ′ 𝑗 subscript superscript 𝐞 ′ 𝑗 {\displaystyle{\mathbf{v}}=\sum_{i}v^{i}{{\mathbf{e}}}_{i}=\sum_{j}{v^{\prime}% \,}^{j}{\mathbf{e}}^{\prime}_{j}.} 
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SVG (7.525 KB / 2.479 KB) :

bold v equals sigma-summation Underscript i Endscripts v Superscript i Baseline times bold e Subscript i Baseline equals sigma-summation Underscript j Endscripts v Superscript prime j Baseline times bold e Subscript j Superscript prime Baseline period

SVG (MathML can be enabled via browser plugin) rendering

MathML (1.879 KB / 456 B) :

v = ∑ i v i e i = ∑ j v ′ j e j ′ . {\displaystyle \mathbf {v} =\sum _{i}v^{i}{\mathbf {e} }_{i}=\sum _{j}{v'\,}^{j}\mathbf {e} '_{j}.} 
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SVG (5.463 KB / 2.208 KB) :

{\displaystyle \mathbf {v} =\sum _{i}v^{i}{\mathbf {e} }_{i}=\sum _{j}{v'\,}^{j}\mathbf {e} '_{j}.}

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