Symbol in context

$\Omega$

This entry links every published equation using this exact notation. Its meaning may change between equations.

Used in 13 equations

W(\mathbf x) := \Phi_{\rm grav}(\mathbf x) - \tfrac12|\boldsymbol\Omega \times \mathbf r|^2

This equation states an equality: the expressions on both sides have the same value under the article’s assumptions.

\boldsymbol\Omega

This mathematical expression combines the displayed quantities; its precise role follows from the surrounding article text.

\Omega

This mathematical expression combines the displayed quantities; its precise role follows from the surrounding article text.

\Delta t_e = (2/c^2)\,\boldsymbol\Omega \cdot \mathbf A_e

This equation states an equality: the expressions on both sides have the same value under the article’s assumptions.

\Omega \approx 7.292\times10^{-5}\,\mathrm{rad\,s^{-1}}

This equation gives an approximation: it relates the quantities while allowing an approximation.

\Delta t = 2\Omega A/c^2 \approx 2(7.292\times10^{-5})(2.5\times10^{11})/(8.988\times10^{16}) \approx 4.1\times10^{-10}\,\mathrm s

This equation gives an approximation: it relates the quantities while allowing an approximation.

-\tfrac12|\boldsymbol\Omega\times\mathbf r|^2

This mathematical expression combines the displayed quantities; its precise role follows from the surrounding article text.

\Omega \approx 7.292\times10^{-5}\,\mathrm{rad\,s^{-1}}

This equation gives an approximation: it relates the quantities while allowing an approximation.

\Omega

This mathematical expression combines the displayed quantities; its precise role follows from the surrounding article text.

H_{\mathrm{int}}^{(n)} =\hbar\Omega\, \frac{\mathbf J\cdot\boldsymbol\sigma^{(n)}}{2j}, \qquad U_n=\exp\!\left(-i\kappa \frac{\mathbf J\cdot\boldsymbol\sigma^{(n)}}{2j}\right),

This equation states an equality: the expressions on both sides have the same value under the article’s assumptions.

\Omega

This mathematical expression combines the displayed quantities; its precise role follows from the surrounding article text.

\kappa=\Omega\tau

This equation states an equality: the expressions on both sides have the same value under the article’s assumptions.

\Omega(Nd + N^2)

This mathematical expression combines the displayed quantities; its precise role follows from the surrounding article text.