Evaluating sums. Mathematica recognizes this as the power series expansion of e^x. This sum comes out in terms of a Bessel function.

Many of the most powerful list manipulation operations in Mathematica treat whole lists as single objects. Sometimes, however, you need to pick out or set individual elements ...

Other tutorials have discussed explicit loading of Mathematica packages using <<package and Needs[package]. Sometimes, however, you may want to set Mathematica up so that it ...

The introduction of Mathematica 6 in 2007 represented a revolutionary redefinition of Mathematica. Arriving only 18 months after Mathematica 6, Mathematica 7 represents ...

As discussed in "Exact and Approximate Results", Mathematica can handle approximate real numbers with any number of digits. In general, the precision of an approximate real ...

ControllableDecomposition[ss] yields the controllable decomposition of the StateSpaceModel object ss. The result is a list {s_c, ss_c} where s_c is the transformation matrix ...

ObservableDecomposition[ss] yields the observable decomposition of the StateSpaceModel object ss. The result is a list {s_o, ss_o} where s_o is the transformation matrix and ...

GroebnerBasis[{poly_1, poly_2, ...}, {x_1, x_2, ...}] gives a list of polynomials that form a Gröbner basis for the set of polynomials poly_i. GroebnerBasis[{poly_1, poly_2, ...

Mathematica not only allows you to create interfaces within its usual notebook framework, but also to create complex standalone interfaces that customize the whole user ...

Picking out elements of lists. We will use this list for the examples. Here is the last element of t.