Zur Navigation springen Zur Suche springen

General

Display information for equation id:math.1802.45 on revision:1802

* Page found: Kovariante Schreibweise der Relativitätstheorie (eq math.1802.45)

(force rerendering)

Occurrences on the following pages:

Hash: 64989f59b8e316014bd5379856545d62

TeX (original user input): 

\begin{align}

& a{{\acute{\ }}^{i}}={{U}^{i}}_{k}{{a}^{k}} \\

& b{{\acute{\ }}^{i}}={{U}^{i}}_{k}{{b}^{k}}\Rightarrow b{{\acute{\ }}_{i}}={{U}_{ik}}{{b}^{k}}={{U}_{i}}^{k}{{b}_{k}} \\

& a{{\acute{\ }}^{i}}b{{\acute{\ }}_{i}}={{U}^{i}}_{k}{{U}_{i}}^{l}{{a}^{k}}{{b}_{l}}=!={{a}^{k}}{{b}_{k}} \\

& also\Rightarrow : \\

& {{U}^{i}}_{k}{{U}_{i}}^{l}={{\delta }_{k}}^{l} \\

\end{align}

TeX (checked): 

{\begin{aligned}&a{{\acute {\ }}^{i}}={{U}^{i}}_{k}{{a}^{k}}\\&b{{\acute {\ }}^{i}}={{U}^{i}}_{k}{{b}^{k}}\Rightarrow b{{\acute {\ }}_{i}}={{U}_{ik}}{{b}^{k}}={{U}_{i}}^{k}{{b}_{k}}\\&a{{\acute {\ }}^{i}}b{{\acute {\ }}_{i}}={{U}^{i}}_{k}{{U}_{i}}^{l}{{a}^{k}}{{b}_{l}}=!={{a}^{k}}{{b}_{k}}\\&also\Rightarrow :\\&{{U}^{i}}_{k}{{U}_{i}}^{l}={{\delta }_{k}}^{l}\\\end{aligned}}

LaTeXML (experimentell; verwendet MathML) rendering

MathML (34.803 KB / 3.85 KB) :

a ⁢ ´ i = U i k ⁢ a k b ⁢ ´ i = U i k ⁢ b k ⇒ b ⁢ ´ i = U i ⁢ k ⁢ b k = U i k ⁢ b k a ´ i b ´ i = U i k U i l a k b l = ! = a k b k a ⁢ l ⁢ s ⁢ o ⇒ : U i k ⁢ U i l = δ k l absent 𝑎 superscript ´ absent 𝑖 subscript superscript 𝑈 𝑖 𝑘 superscript 𝑎 𝑘 absent 𝑏 superscript ´ absent 𝑖 subscript superscript 𝑈 𝑖 𝑘 superscript 𝑏 𝑘 ⇒ 𝑏 subscript ´ absent 𝑖 subscript 𝑈 𝑖 𝑘 superscript 𝑏 𝑘 superscript subscript 𝑈 𝑖 𝑘 subscript 𝑏 𝑘 absent fragments a superscript ´ absent 𝑖 b subscript ´ absent 𝑖 subscript superscript 𝑈 𝑖 𝑘 superscript subscript 𝑈 𝑖 𝑙 superscript 𝑎 𝑘 subscript 𝑏 𝑙 superscript 𝑎 𝑘 subscript 𝑏 𝑘 absent ⇒ 𝑎 𝑙 𝑠 𝑜 : absent subscript superscript 𝑈 𝑖 𝑘 superscript subscript 𝑈 𝑖 𝑙 superscript subscript 𝛿 𝑘 𝑙 {\displaystyle{\displaystyle\begin{aligned} \par&\displaystyle a{{\acute{\ }}^% {i}}={{U}^{i}}_{k}{{a}^{k}}\\ \par&\displaystyle b{{\acute{\ }}^{i}}={{U}^{i}}_{k}{{b}^{k}}\Rightarrow b{{% \acute{\ }}_{i}}={{U}_{ik}}{{b}^{k}}={{U}_{i}}^{k}{{b}_{k}}\\ \par&\displaystyle a{{\acute{\ }}^{i}}b{{\acute{\ }}_{i}}={{U}^{i}}_{k}{{U}_{i% }}^{l}{{a}^{k}}{{b}_{l}}=!={{a}^{k}}{{b}_{k}}\\ \par&\displaystyle also\Rightarrow:\\ \par&\displaystyle{{U}^{i}}_{k}{{U}_{i}}^{l}={{\delta}_{k}}^{l}\\ \par\end{aligned}}}

SVG image empty. Force Re-Rendering

SVG (0 B / 8 B) :


MathML (experimentell; keine Bilder) rendering

MathML (3.513 KB / 459 B) :

a´i=Uikakb´i=Uikbk⇒b´i=Uikbk=Uikbka´ib´i=UikUilakbl=!=akbkalso⇒:UikUil=δkl

Translations to Computer Algebra Systems

Translation to Maple

In Maple:

Translation to Mathematica

In Mathematica:

Similar pages

Calculated based on the variables occurring on the entire Kovariante Schreibweise der Relativitätstheorie page

Identifiers

  • a
  • ´
  • i
  • U
  • i
  • k
  • a
  • k
  • b
  • ´
  • i
  • U
  • i
  • k
  • b
  • k
  • b
  • ´i
  • Uik
  • b
  • k
  • Ui
  • k
  • bk
  • a
  • ´
  • i
  • b
  • ´i
  • U
  • i
  • k
  • Ui
  • l
  • a
  • k
  • bl
  • a
  • k
  • bk
  • a
  • l
  • s
  • o
  • U
  • i
  • k
  • Ui
  • l
  • δk
  • l

MathML observations

0results

0results

no statistics present please run the maintenance script ExtractFeatures.php

0 results

0 results

Abgerufen von „https://wiki.physikerwelt.de/wiki/Spezial:Formelinformation“