Differences between revisions 110 and 112 (spanning 2 versions)
 ⇤ ← Revision 110 as of 2009-01-07 19:40:42 → Size: 1690 Editor: MarshallHampton Comment: ← Revision 112 as of 2009-05-22 10:03:45 → ⇥ Size: 1733 Editor: pang Comment: added category games Deletions are marked like this. Additions are marked like this. Line 15: Line 15: * [[interact/calculus|Geometry]] * [[interact/geometry|Geometry]] Line 17: Line 17: * [[iteract/games|Games and Diversions]]

# Sage Interactions

This is a collection of pages demonstrating the use of the interact command in Sage. It should be easy to just scroll through and copy/paste examples into sage notebooks. If you have suggestions on how to improve interact, add them here or email [email protected] . Of course, your own examples are also welcome!

## Explanatory example: Taylor Series

This is the code and a mockup animation of the interact command. It defines a slider, seen on top, that can be dragged. Once dragged, it changes the value of the variable "order" and the whole block of code gets evaluated. This principle can be seen in various examples presented on the pages above!

var('x')
x0  = 0
f   = sin(x)*e^(-x)
p   = plot(f,-1,5, thickness=2)
dot = point((x0,f(x0)),pointsize=80,rgbcolor=(1,0,0))
@interact
def _(order=(1..12)):
ft = f.taylor(x,x0,order)
pt = plot(ft,-1, 5, color='green', thickness=2)
html('$f(x)\;=\;%s$'%latex(f))
html('$\hat{f}(x;%s)\;=\;%s+\mathcal{O}(x^{%s})$'%(x0,latex(ft),order+1))
show(dot + p + pt, ymin = -.5, ymax = 1)

interact (last edited 2021-08-23 15:58:42 by anewton)