Differentiating a known function gives an explicit result. Differentiating an unknown function f gives a result in terms of f'. Mathematica applies the chain rule for ...

RamanujanTauL[s] gives the Ramanujan tau Dirichlet L-function L(s).

Nested logical and piecewise functions can be expanded out much like nested arithmetic functions. You can do this using LogicalExpand and PiecewiseExpand. Expanding out ...

Composition[f_1, f_2, f_3, ...] represents a composition of the functions f_1, f_2, f_3, ....

AiryAiZero[k] represents the k\[Null]^th zero of the Airy function Ai(x).AiryAiZero[k, x_0] represents the k\[Null]^th zero less than x_0.

DSolve can find solutions for most of the standard linear second-order ODEs that occur in applied mathematics. Here is the solution for Airy's equation. Here is a plot that ...

This tutorial covers advanced features of the Manipulate command. It assumes that you have read "Introduction to Manipulate" and thus have a good idea what the command is for ...

 

Finding the date and time. This gives the current date and time. The Mathematica DateList function returns whatever your computer system gives as the current date and time. ...

"Introduction to Manipulate" and "Introduction to Dynamic" provide most of the information you need to use Mathematica's interactive features accessible through the functions ...