Size: 1564
Comment: final edit of splitting interact
|
Size: 1638
Comment:
|
Deletions are marked like this. | Additions are marked like this. |
Line 6: | Line 6: |
* [:interact/fractal:Fractals] | |
Line 8: | Line 9: |
* [:interact/dynsys:Dynamical Systems] |
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 [:interactSuggestions:here] or email [email protected] . Of course, your own examples are also welcome!
- [: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]
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)
attachment:taylor_series_animated.gif