Differences between revisions 2 and 135 (spanning 133 versions)
 ⇤ ← Revision 2 as of 2008-03-11 18:15:48 → Size: 629 Editor: was Comment: ← Revision 135 as of 2018-04-29 19:00:16 → ⇥ Size: 2202 Editor: slelievre Comment: Add documentation links for interact in SageNB and Jupyter Deletions are marked like this. Additions are marked like this. Line 3: Line 3: Post code that demonstrates the use of the interact command in Sage here. It should be easy for people to just scroll through and paste examples out of here into their own sage notebooks. 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. Of course, your own examples are also welcome! Line 5: Line 8: We'll likely restructure and reorganize this once we have some nontrivial content and get a sense of how it is laid out. Documentation links: Line 7: Line 10: == Graphics == * [[http://doc.sagemath.org/html/en/reference/repl/sage/repl/ipython_kernel/interact.html| interacts in the Jupyter notebook]]  * [[http://doc.sagemath.org/html/en/reference/notebook/sagenb/notebook/interact.html|interacts in the legacy SageNB notebook]] Line 9: Line 13: == Calculus == Examples: Line 11: Line 15: == Number Theory == * [[interact/algebra|Algebra]] * [[interact/bio|Bioinformatics]] * [[interact/calculus|Calculus]] * [[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]] Line 13: Line 33: {{{html('

Cuspidal Subgroups of Modular Jacobians J0(N)

') == 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!{{{#!sagecellvar('x')x0 = 0f = sin(x)*e^(-x)p = plot(f,-1,5, thickness=2)dot = point((x0,f(x=x0)),pointsize=80,rgbcolor=(1,0,0)) Line 16: Line 44: def _(N=selector([1..8*13], ncols=8, width=10, default=10)):    A = J0(N)    print A.cuspidal_subgroup() 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) Line 20: Line 51: attachment:cuspgroup.png {{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 sage-support. Of course, your own examples are also welcome! 