Mathematica includes functionality to factor polynomials symbolically.
Numerical root finding. NSolve gives you numerical approximations to all the roots of a polynomial equation. You can also use NSolve to solve sets of simultaneous equations ...
LogGamma[z] gives the logarithm of the gamma function log \[CapitalGamma](z).
ProbabilityScalePlot[{x_1, x_2, ...}] generates a normal probability plot of the samples x_i. ProbabilityScalePlot[{x_1, x_2, ...}, " dist"] generates a probability plot ...
PrimeQ
(Built-in Mathematica Symbol) PrimeQ[expr] yields True if expr is a prime number, and yields False otherwise.
Erf
(Built-in Mathematica Symbol) Erf[z] gives the error function erf(z). Erf[z_0, z_1] gives the generalized error function erf(z_1) - erf(z_0).
Outer
(Built-in Mathematica Symbol) Outer[f, list_1, list_2, ...] gives the generalized outer product of the list_i, forming all possible combinations of the lowest-level elements in each of them, and feeding ...
SkellamDistribution[\[Mu]_1, \[Mu]_2] represents a Skellam distribution with shape parameters \[Mu]_1 and \[Mu]_2.
You can use the standard differential equation solving function, NDSolve , to numerically solve delay differential equations with constant delays. It returns an interpolation ...
Many times in statistical analysis you may need to know if a population mean is significantly different from some reference value. This is a type of t-test if the population ...