ArcTan[z] gives the arc tangent tan -1 (z) of the complex number z. ArcTan[x, y] gives the arc tangent of y/x, taking into account which quadrant the point (x, y) is in.

Likelihood[dist, {x_1, x_2, ...}] gives the likelihood function for observations x_1, x_2, ... from the distribution dist.

Chini equations are a generalization of Abel and Riccati equations. This solves a Chini equation.

NestWhileList[f, expr, test] generates a list of the results of applying f repeatedly, starting with expr, and continuing until applying test to the result no longer yields ...

Particularly in the physical sciences, it is common to use measurement errors as weights to incorporate measured variation into the fitting. Weights have a relative effect on ...

Simplifying expressions. Mathematica does not automatically simplify an algebraic expression like this. Simplify performs the simplification.

ArcTanh[z] gives the inverse hyperbolic tangent tanh -1 (z) of the complex number z.

InverseErfc[s] gives the inverse complementary error function obtained as the solution for z in s = erfc(z).

Quiet[expr] evaluates expr "quietly", without actually outputting any messages generated.Quiet[expr, {s_1::t_1, s_2::t_2, ...}] quietens only the specified messages during ...

Listable is an attribute that can be assigned to a symbol f to indicate that the function f should automatically be threaded over lists that appear as its arguments.