Sage Interactions

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 sage-support@googlegroups.com.

[: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]