Differences between revisions 119 and 121 (spanning 2 versions)
 ⇤ ← Revision 119 as of 2010-04-02 15:26:45 → Size: 1905 Editor: MarshallHampton Comment: ← Revision 121 as of 2011-01-05 05:16:20 → ⇥ Size: 1942 Editor: Eviatar Comment: Deletions are marked like this. Additions are marked like this. Line 3: Line 3: This is a collection of pages demonstrating the use of [[http://sagemath.org/doc/reference/sagenb/notebook/interact.html#sagenb.notebook.interact.interact|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 [[http://sagemath.org/doc/reference/sagenb/notebook/interact.html#sagenb.notebook.interact.interact|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/algebra|Algebra]] * [[interact/bio|Bioinformatics]] * [[interact/calculus|Calculus]] * [[interact/chemistry|Chemistry]] * [[interact/diffeq|Differential Equations]] * [[interact/graphics|Drawing Graphics]] * [[interact/dynsys|Dynamical Systems]] * [[interact/fractal|Fractals]] * [[interact/games|Games and Diversions]] * [[interact/geometry|Geometry]] Line 6: Line 16: * [[interact/fractal|Fractals]] * [[interact/calculus|Calculus]] * [[interact/diffeq|Differential Equations]] * [[interact/dynsys|Dynamical Systems]] Line 11: Line 17: * [[interact/algebra|Algebra]] * [[interact/misc|Miscellaneous]] Line 13: Line 19: * [[interact/stats|Statistics/Probability]] Line 14: Line 21: * [[interact/bio|Bioinformatics]] * [[interact/stats|Statistics/Probability]] * [[interact/geometry|Geometry]] * [[interact/graphics|Drawing Graphics]] * [[interact/games|Games and Diversions]] * [[interact/misc|Miscellaneous]]

# 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(x=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)