\relax \newlabel{discrete_sine_points}{{1}{1}} \newlabel{continuous_sine_coefficient}{{2}{2}} \newlabel{Fourier_sin_series}{{3}{2}} \newlabel{nonlinear_heat_equation}{{4}{2}} \newlabel{Dirichlet_boundary_conditions}{{5}{2}} \newlabel{initial_data}{{6}{2}} \newlabel{discrete_heat_equation}{{7}{3}}