Differences between revisions 108 and 109
 ⇤ ← Revision 108 as of 2008-09-06 15:31:28 → Size: 1638 Editor: MarshallHampton Comment: ← Revision 109 as of 2008-11-14 13:42:08 → ⇥ Size: 1655 Editor: anonymous Comment: converted to 1.6 markup Deletions are marked like this. Additions are marked like this. Line 3: Line 3: 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 [:interactSuggestions:here] or email [email protected] . Of course, your own examples are also welcome! 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 [[interactSuggestions|here]] or email [email protected] . Of course, your own examples are also welcome! Line 5: Line 5: * [:interact/graph theory:Graph Theory] * [:interact/fractal:Fractals] * [:interact/calculus:Calculus] * [:interact/diffeq:Differential Equations] * [:interact/dynsys:Dynamical Systems] * [:interact/linear algebra:Linear Algebra] * [:interact/algebra:Algebra] * [:interact/number theory:Number Theory] * [:interact/web:Web Applications] * [:interact/bio:Bioinformatics] * [:interact/graphics:Drawing Graphics] * [:interact/misc:Miscellaneous] * [[interact/graph_theory|Graph Theory]] * [[interact/fractal|Fractals]] * [[interact/calculus|Calculus]] * [[interact/diffeq|Differential Equations]] * [[interact/dynsys|Dynamical Systems]] * [[interact/linear_algebra|Linear Algebra]] * [[interact/algebra|Algebra]] * [[interact/number_theory|Number Theory]] * [[interact/web|Web Applications]] * [[interact/bio|Bioinformatics]] * [[interact/graphics|Drawing Graphics]] * [[interact/misc|Miscellaneous]] Line 36: Line 36: attachment:taylor_series_animated.gif {{attachment:taylor_series_animated.gif}}

# 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)