When fitting models to data, it is often useful to analyze how well the model fits the data and how well the fitting meets the assumptions of the model. For a number of ...

Manipulate[expr, {u, u_min, u_max}] generates a version of expr with controls added to allow interactive manipulation of the value of u. Manipulate[expr, {u, u_min, u_max, ...

CellularAutomaton[rule, init, t] generates a list representing the evolution of the cellular automaton with the specified rule from initial condition init for t steps. ...

ExtendedGCD[n_1, n_2, ...] gives the extended greatest common divisor of the integers n_i.

Log[z] gives the natural logarithm of z (logarithm to base e). Log[b, z] gives the logarithm to base b.

Mathematica can import common terrain elevation files and render them as topographic maps. It can also import geospatial information formats that combine layers of raster, ...

ExpToTrig[expr] converts exponentials in expr to trigonometric functions.

RotateRight[expr, n] cycles the elements in expr n positions to the right. RotateRight[expr] cycles one position to the right. RotateRight[expr, {n_1, n_2, ...}] cycles ...

The function Flatten allows you to explicitly flatten out all sublists. FlattenAt lets you specify at what positions you want sublists flattened. Sequence objects ...

Path is an option for Get and related functions which gives a list of directories to search in attempting to find an external file.