Math Test

Equations with numbers

Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle {\bf{\mu}} = \frac{q}{2m} { {\bf{L}} } \equiv \gamma_{\ell} {\bf{L}} }

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${\bf {\mu }}={\frac {q}{2m}}{\bf {L}}\equiv \gamma _{\ell }{\bf {L}}$

(1.3)

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Misc Math

Failed to parse (unknown function "\mathchar"): {\displaystyle {\mathchar'26\mkern-10mu\lambda} }

$N_{b}(t)=N_{b}(0)e^{-\gamma _{b}t}$

${\bf {\mu }}={\frac {q}{2m}}{\bf {L}}\equiv \gamma _{\ell }{\bf {L}}$

${\bf {L}}\equiv {\bf {r}}\times {\bf {p}}=m[{\bf {r}}\times {\bf {v}}]$

This is a test ${\frac {\alpha }{\sqrt {\gamma +1}}}$

units: Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle \frac{1}{\unit{1}{\kelvin}} } Failed to parse (unknown function "\unit"): {\displaystyle \unit{10}{\reciprocal\metre}}

mathbold: Failed to parse (unknown function "\bm"): {\displaystyle \bm{V}}

bold ${\bf {foo}}$ ${\textbf {foo}}$

italic Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle \it test}

cal ${\cal {C}}$

left right Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle \left[ \frac{x}{y} \right]} Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle \left| \Psi \right\rangle}

align*

Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle \begin{align} \frac{d}{dt} \hat{\mu}_x &= - \frac{i \gamma^2}{\hbar} B_0 i \hbar \hat{L}_y = \gamma^2 \hat{L}_y B_0 = \hat{\mu}_y \gamma B_0 \\ \frac{d}{dt} \hat{\mu}_y &= - \mu_x \gamma B_0 \\ \frac{d}{dt} \hat{\mu}_z &= 0 \end{align} }

Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle \begin{align} \left\langle \hat O\right\rangle &= Tr \left(\hat O\hat\rho\right) =\Sigma_n \left\langle n\right| \hat O\hat \rho \left|n\right\rangle \end{align}}