_{11})^{2}+6(\sigma _{12}^{2}+\sigma _{23}^{2}+\sigma _{31}^{2}\right)}{2}}}\\&={\sqrt {\frac {(\sigma _{1}-\sigma _{2})^{2}+(\sigma _{2}-\sigma _{3})^{2}+(\sigma _{3}-\sigma...
15 KB (1,912 words) - 17:12, 18 September 2024
that year and by Hermann Weyl in 1928: σ x σ p ≥ ℏ 2 {\displaystyle \sigma _{x}\sigma _{p}\geq {\frac {\hbar }{2}}} where ℏ = h 2 π {\displaystyle \hbar...
139 KB (19,260 words) - 10:08, 4 November 2024
R&=R_{\sigma \nu }\delta g^{\sigma \nu }+g^{\sigma \nu }\delta R_{\sigma \nu }\\&=R_{\sigma \nu }\delta g^{\sigma \nu }+\nabla _{\rho }\left(g^{\sigma \nu...
15 KB (2,645 words) - 14:12, 19 September 2024
Q_{a}=E_{\sigma }R_{a}^{\sigma }-d_{i}\left(E_{\sigma }R_{a}^{\sigma ,i}\right)+\dots +(-1)^{s}d_{i_{1}}\dots d_{i_{s}}\left(E_{\sigma }R_{a}^{\sigma ,i_{1}...
15 KB (2,764 words) - 20:46, 27 October 2024
},M_{\rho \sigma }]&=\eta _{\mu \rho }M_{\nu \sigma }-\eta _{\mu \sigma }M_{\nu \rho }-\eta _{\nu \rho }M_{\mu \sigma }+\eta _{\nu \sigma }M_{\mu \rho...
15 KB (2,173 words) - 17:44, 15 August 2024
{\displaystyle Rf(\xi )=\int _{\xi }f(\mathbf {x} )\,d\sigma (\mathbf {x} ),\quad \forall \xi \in \Sigma _{n}} where the integral is taken with respect to...
24 KB (3,496 words) - 10:00, 8 October 2024
{\displaystyle I_{2}={\frac {1}{6}}\left[(\sigma _{1}-\sigma _{2})^{2}+(\sigma _{2}-\sigma _{3})^{2}+(\sigma _{3}-\sigma _{1})^{2}\right]} The criterion assumes...
42 KB (5,225 words) - 15:27, 18 October 2024
{\displaystyle \sigma _{v}^{2}={\tfrac {1}{2}}[(\sigma _{11}-\sigma _{22})^{2}+(\sigma _{22}-\sigma _{33})^{2}+(\sigma _{11}-\sigma _{33})^{2}+6(\sigma _{23}^{2}+\sigma...
29 KB (3,523 words) - 04:35, 26 October 2024
Johann Heinrich Ziegler, M. Locher (1887), "Ueber die Tartrazine, eine neue Klasse von Farbstoffen" [On the tartrazines, a new class of dyes], Berichte der...
28 KB (2,878 words) - 00:05, 5 November 2024
{\displaystyle \sigma (\omega )={\frac {\sigma _{0}}{1-i\omega \tau }}={\frac {\sigma _{0}}{1+\omega ^{2}\tau ^{2}}}+i\omega \tau {\frac {\sigma _{0}}{1+\omega...
39 KB (6,178 words) - 20:58, 5 July 2024