Differences between revisions 106 and 143 (spanning 37 versions)
Revision 106 as of 2008-05-08 10:01:41
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Comment: final edit of splitting interact
Revision 143 as of 2020-06-02 15:23:26
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Deletions are marked like this. Additions are marked like this.
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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 sage-support@googlegroups.com . Of course, your own examples are also welcome! 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 [[interact/Suggestions|here]]
or email the
sage-support mailing list. Of course, your own examples are also welcome!
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 * [: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]
Documentation links:

  * [[http://doc.sagemath.org/html/en/reference/repl/sage/repl/ipython_kernel/interact.html| interacts in the Jupyter notebook]] (see this page and the two following ones)
  * [[https://github.com/sagemath/sagenb/blob/master/sagenb/notebook/interact.py|interacts in the legacy SageNB notebook]] (many helpful examples)
  * [[https://github.com/sagemath/sagecell/blob/master/interact_compatibility.py|Sage Cell Server implementation]]
  * [[https://github.com/sagemathinc/cocalc/blob/master/src/smc_sagews/smc_sagews/sage_salvus.py#L348|CoCalc Sage worksheet implementation]]

Examples:

 * [[interact/algebra|Algebra]]
 * [[interact/bio|Bioinformatics]]
 * [[interact/calculus|Calculus]]
 * [[interact/cryptography|Cryptography]]
 * [[interact/diffeq|Differential Equations]]
 * [[interact/graphics|Drawing Graphics]]
 * [[interact/dynsys|Dynamical Systems]]
 * [[interact/fractal|Fractals]]
 * [[interact/games|Games and Diversions]]
 * [[interact/geometry|Geometry]]
 * [[interact/graph_theory|Graph Theory]]
 * [[interact/linear_algebra|Linear Algebra]]
 * [[interact/Loop Quantum Gravity|Loop Quantum Gravity]]
 * [[interact/misc|Miscellaneous]]
 * [[interact/number_theory|Number Theory]]
 * [[interact/stats|Statistics/Probability]]
 * [[interact/topology|Topology]]
 * [[interact/web|Web Applications]]
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{{{
var('x')
{{{#!sagecell
x = SR.var('x')
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f = sin(x)*e^(-x)
p = plot(f,-1,5, thickness=2)
dot = point((x0,f(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)
  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)
def _(order=slider([1 .. 12])):
  ft = f.taylor(x, x0, order)
  pt = plot(ft,
-1, 5, color='green', thickness=2)
  pretty_print(html(r'$f(x)\;=\;%s$' % latex(f)))
  pretty_print(html(r
'$\hat{f}(x;%s)\;=\;%s+\mathcal{O}(x^{%s})$' % (x0, latex(ft), order+1)))
  show(dot + p + pt, ymin=-.5, ymax=1)
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attachment:taylor_series_animated.gif {{attachment:taylor_series_animated.gif}}

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 2021-08-23 15:58:42 by anewton)