This Sage worksheet was developed for the MAA PREP Workshop "Sage: Using Open-Source Mathematics Software with Undergraduates" (funding provided by NSF DUE 0817071).
Invaluable resources are the Sage wiki http://wiki.sagemath.org/interact (type "sage interact" into Google) and the interact documentation.
{{{id=27| plot(x^2,(x,-3,3)) ///
}}}
{{{id=28|
f=x^2
plot(f,(x,-3,3))
///
}}}
Note the "show" that is needed.
{{{id=29| def myplot(f=x^2): show(plot(f,(x,-3,3))) /// }}} {{{id=30| myplot() ///
}}}
{{{id=32|
myplot(x^3)
///
}}}
{{{id=35|
@interact
def myplot(f=x^2):
show(plot(f,(x,-3,3)))
///
}}}
{{{id=15|
@interact
def _(f=x^2):
show(plot(f,(x,-3,3)))
///
}}}
{{{id=21|
@interact
def _(f=input_box(x^2,width=20)):
show(plot(x^2,(x,-3,3)))
///
}}}
{{{id=19|
@interact
def _(f=input_box(x^2,width=20), color=color_selector(widget='colorpicker')):
show(plot(x^2,(x,-3,3), color=color))
///
}}}
{{{id=37|
///
}}}
{{{id=38|
///
}}}
{{{id=18|
@interact
def _(f=input_box(x^2,width=20),
color=color_selector(widget='colorpicker', label=""),
axes=True,
fill=True,
zoom=range_slider(-3,3,default=(-3,3))):
show(plot(x^2,(x,zoom[0], zoom[1]), color=color, axes=axes,fill=fill))
///
}}}
{{{id=24|
@interact(layout=dict(top=[['f', 'color']],
right=[['axes'],['fill']],
bottom=[['zoom']]))
def _(f=input_box(x^2,width=20),
color=color_selector(widget='colorpicker', label=""),
axes=True,
fill=True,
zoom=range_slider(-3,3, default=(-3,3))):
show(plot(x^2,(x,zoom[0], zoom[1]), color=color, axes=axes,fill=fill))
///
}}}
Sage has:
We illustrate some of these.
{{{id=9| @interact def _(frame=checkbox(True, label='Use frame')): show(plot(sin(x), (x,-5,5)), frame=frame) /// }}} {{{id=10| var('x,y') colormaps=sage.plot.colors.colormaps.keys() @interact def _(cmap=selector(colormaps)): contour_plot(x^2-y^2,(x,-2,2),(y,-2,2),cmap=cmap).show() /// }}} {{{id=13| var('x,y') colormaps=sage.plot.colors.colormaps.keys() @interact def _(cmap=selector(['RdBu', 'jet', 'gray','gray_r'],buttons=True), type=['density','contour']): if type=='contour': contour_plot(x^2-y^2,(x,-2,2),(y,-2,2),cmap=cmap, aspect_ratio=1).show() else: density_plot(x^2-y^2,(x,-2,2),(y,-2,2),cmap=cmap, frame=True,axes=False,aspect_ratio=1).show() /// }}} {{{id=33| @interact def _(n=(1,20)): print factorial(n) /// }}} {{{id=42| @interact def _(n=slider(1,20,step_size=1)): print factorial(n) /// }}} {{{id=40| @interact def _(n=slider([1..20])): print factorial(n) /// }}} {{{id=41| /// }}}