_{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...
14 KB (1,908 words) - 20:18, 8 July 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 (19,256 words) - 18:50, 20 August 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) - 17:20, 21 June 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) - 00:21, 6 August 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 (3,492 words) - 18:00, 23 June 2024
s s ζ ( s ) d s {\displaystyle M(x)={\frac {1}{2\pi i}}\int _{\sigma -i\infty }^{\sigma +i\infty }{\frac {x^{s}}{s\zeta (s)}}\,ds} which is valid for 1...
11 KB (1,389 words) - 12:14, 19 July 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) - 09:37, 21 August 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
Gesellschaft der Wissenschaften zu Göttingen. Mathematisch-Physikalische Klasse. 1918: 235–257. José, Jorge V.; Saletan, Eugene J. (1998). Classical Dynamics:...
65 KB (10,847 words) - 12:45, 16 August 2024