When you do symbolic calculations, it is quite easy to end up with extremely complicated expressions. Often, you will not even want to see the complete result of a ...

ErlangDistribution[k, \[Lambda]] represents the Erlang distribution with shape parameter k and rate \[Lambda].

When Mathematica reads the text x^y, it interprets it as x raised to the power y. In a notebook, you can also give the two-dimensional input x^y directly. Mathematica again ...

PDF[dist, x] gives the probability density function for the symbolic distribution dist evaluated at x.PDF[dist, {x_1, x_2, ...}] gives the multivariate probability density ...

Product[f, {i, i_max}] evaluates the product \[Product]i = 1 i_max f. Product[f, {i, i_min, i_max}] starts with i = i_min. Product[f, {i, i_min, i_max, di}] uses steps di. ...

Arithmetic Numerical Mathematics in Mathematica The Uncertainties of Numerical Mathematics

Combinatorial functions. The factorial function n! gives the number of ways of ordering n objects. For non-integer n, the numerical value of n! is obtained from the gamma ...

DiscreteUniformDistribution[{i_min, i_max}] represents a discrete uniform distribution over the integers from i_min to i_max.DiscreteUniformDistribution[{{i_min, i_max}, ...

MomentGeneratingFunction[dist, t] gives the moment generating function for the symbolic distribution dist as a function of the variable t. MomentGeneratingFunction[dist, ...

Integration functions. Here is the integral ∫_a^bx^2 dx. This gives the multiple integral ∫_0^adx ∫_0^bd y(x^2+y^2).