1942
Comment:

2661
added link to complex analysis

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 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/Suggestionshere]] or email the sagesupport mailing list. Of course, your own examples are also welcome! 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.pyinteracts in the legacy SageNB notebook]] (many helpful examples) * [[https://github.com/sagemath/sagecell/blob/master/interact_compatibility.pySage Cell Server implementation]] * [[https://github.com/sagemathinc/cocalc/blob/master/src/smc_sagews/smc_sagews/sage_salvus.py#L348CoCalc Sage worksheet implementation]] Examples: 
Line 8:  Line 20: 
* [[interact/chemistryChemistry]]  * [[interact/complexComplex Analysis]] * [[interact/cryptographyCryptography]] 
Line 17:  Line 30: 
* [[interact/Loop Quantum GravityLoop Quantum Gravity]]  
Line 20:  Line 34: 
* [[interact/topologyTopology]]  
Line 26:  Line 41: 
{{{#!python numbers=none var('x') 
{{{#!sagecell x = SR.var('x') 
Line 29:  Line 44: 
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)) 
Line 33:  Line 49: 
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) 
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 sagesupport mailing list. Of course, your own examples are also welcome!
Documentation links:
interacts in the Jupyter notebook (see this page and the two following ones)
interacts in the legacy SageNB notebook (many helpful examples)
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!