[code]

theta_ = 1

f( x, sigma ) = exp( - (x^2) / ( 2 * sigma^2 ) ) * cos( 2 * pi * theta_ * x )

text_ = "$ f(x) = \\exp \\left( - \\frac{ x^2 }{ 2 \\sigma^2 } \\right) \\cos( 2 \\pi \\theta x )$" + "\n" + "$ \\pi = " + ( "%0.03f" % pi ) + "$; " + "$ \\theta = " + ( "%d" % theta_ ) + "$; " + "$ \\sigma = %0.02f $"

text_opts = {} text_opts[ "xy" ] = [ 0, 1.2 ] text_opts[ "figsize" ] = [ 3, 2 ] text_opts[ "horizontal_alignment" ] = "center" text_opts[ "vertical_alignment" ] = "bottom" text_opts[ "color" ] = "black" text_opts[ "fontsize" ] = 15

plot_opts = {} plot_opts[ "xmin" ] = -5 plot_opts[ "xmax" ] = +5 plot_opts[ "ymin" ] = -1.1 plot_opts[ "ymax" ] = +1.1

plots = [ plot( f( x, sigma ), **plot_opts ) + text( ( text_ % sigma ), **text_opts ) for sigma in xsrange( 0.01, 9.99, 0.1 ) ]

animate( plots ).show( delay=1 )