1905
Comment:

1977
added category: topology

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.interactthe 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 [[interactSuggestionshere]] 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.interactthe 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 [[interactSuggestionshere]] or email [email protected] . Of course, your own examples are also welcome! 
Line 5:  Line 5: 
* [[interact/algebraAlgebra]] * [[interact/bioBioinformatics]] * [[interact/calculusCalculus]] * [[interact/chemistryChemistry]] * [[interact/diffeqDifferential Equations]] * [[interact/graphicsDrawing Graphics]] * [[interact/dynsysDynamical Systems]] * [[interact/fractalFractals]] * [[interact/gamesGames and Diversions]] * [[interact/geometryGeometry]] 

Line 6:  Line 16: 
* [[interact/fractalFractals]] * [[interact/calculusCalculus]] * [[interact/diffeqDifferential Equations]] * [[interact/dynsysDynamical Systems]] 

Line 11:  Line 17: 
* [[interact/algebraAlgebra]]  * [[interact/miscMiscellaneous]] 
Line 13:  Line 19: 
* [[interact/statsStatistics/Probability]] * [[interact/topologyTopology]] 

Line 14:  Line 22: 
* [[interact/bioBioinformatics]] * [[interact/statsStatistics/Probability]] * [[interact/geometryGeometry]] * [[interact/graphicsDrawing Graphics]] * [[interact/gamesGames and Diversions]] * [[interact/miscMiscellaneous]] 
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)