Differences between revisions 105 and 106
 ⇤ ← Revision 105 as of 2008-05-08 09:52:42 → Size: 1513 Editor: schilly Comment: ← Revision 106 as of 2008-05-08 10:01:41 → ⇥ Size: 1564 Editor: schilly Comment: final edit of splitting interact Deletions are marked like this. Additions are marked like this. Line 2: Line 2: Post code that demonstrates the use of the interact command in Sage here.    It should be easy to just scroll through and paste examples out of here into their own sage notebooks.If you have suggestions on how to improve interact, add them [:interactSuggestions:here] or email [email protected] . 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 15: Line 16: == Example: Taylor Series == == Explanatory example: Taylor Series ==

# 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/calculus:Calculus]
• [:interact/diffeq:Differential Equations]
• [: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

interact (last edited 2021-06-24 09:28:41 by pang)