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Revision 136 as of 2018-04-29 19:01:17
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 * [[interact/cryptography|Cryptography]]
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var('x') x = SR.var('x')
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f = sin(x)*e^(-x)
p = plot(f,-1,5, thickness=2)
dot = point((x0,f(x=x0)),pointsize=80,rgbcolor=(1,0,0))
f = sin(x) * e^(-x)
p = plot(f, -1, 5, thickness=2)
dot = point((x0, f(x=x0)), pointsize=80, rgbcolor=(1, 0, 0))
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def _(order=[1..12]):
  ft = f.taylor(x,x0,order)
  pt = plot(ft,
-1, 5, color='green', thickness=2)
  pretty_print(html('$f(x)\;=\;%s$'%latex(f)))
  pretty_print(html('$\hat{f}(x;%s)\;=\;%s+\mathcal{O}(x^{%s})$'%(x0,latex(ft),order+1)))
  show(dot + p + pt, ymin = -.5, ymax = 1)
def _(order=slider([1 .. 12])):
  ft = f.taylor(x, x0, order)
  pt = plot(ft,
-1, 5, color='green', thickness=2)
  pretty_print(html('$f(x)\;=\;%s$' % latex(f)))
  pretty_print(html('$\hat{f}(x;%s)\;=\;%s+\mathcal{O}(x^{%s})$' % (x0, latex(ft), order+1)))
  show(dot + p + pt, ymin=-.5, ymax=1)

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 the sage-support mailing list. Of course, your own examples are also welcome!

Documentation links:

Examples:

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!

taylor_series_animated.gif

interact (last edited 2020-06-02 15:23:26 by kcrisman)