LaTeX2HTML5のテスト

$$ \hat{x}(t) = \sum \limits_{k=-N}^{N}\alpha_k e^{ik\omega_0 t} $$ \begin{interactive} \begin{pspicture}(-2,-2)(2,2) \psframe(-2,-2)(2,2) \userline[linewidth=2pt,linecolor=green]{->}(0,0)(2,2){-x}{-y} \userline[linewidth=2pt,linecolor=red]{->}(0,0)(2,2){0}{y} \userline[linewidth=2pt,linecolor=purple]{->}(0,0)(2,2){-x}{cos(y)} \userline[linewidth=2pt,linecolor=lightblue]{->}(0,0)(2,2)(sin(x)}{-y} \end{pspicture} \end{interactive} \begin{align*} \langle \hat{x}_N, \Psi_\ell\rangle &= \langle \sum \limits_{k=-N}^{N}\alpha_k e^{ik\omega_0 t} , \Psi_\ell\rangle \\ \langle \hat{x}_N, \Psi_\ell\rangle &= \sum \limits_{k=-N}^{N}\alpha_k \langle e^{ik\omega_0 t} , \Psi_\ell\rangle \\ \langle \hat{x}_N, \Psi_\ell\rangle &= \alpha_\ell \langle e^{i\ell\omega_0 t} , \Psi_\ell\rangle \\ \langle \hat{x}_N, \Psi_\ell\rangle &= \alpha_\ell \langle \Psi_\ell , \Psi_\ell\rangle \\ \alpha_\ell &= \frac{\langle \hat{x}_N, \Psi_\ell\rangle }{\langle \Psi_\ell , \Psi_\ell\rangle } \\ \end{align*}