Mathematica 's differential equation solving functions can be applied to many different classes of differential equations, automatically selecting the appropriate algorithms ...

NProduct[f, {i, i_min, i_max}] gives a numerical approximation to the product \[Product]i = i_min i_max f.NProduct[f, {i, i_min, i_max, di}] uses a step di in the product.

N[expr] gives the numerical value of expr. N[expr, n] attempts to give a result with n-digit precision.

When you do calculations with arbitrary-precision numbers, Mathematica keeps track of precision at all points. In general, Mathematica tries to give you results which have ...

In Mathematica, dialog boxes are customized notebooks used to provide users with information and/or request user input. There are two properties associated with dialogs. ...

The function FindRoot has a Jacobian option; the functions FindMinimum, FindMaximum, and FindFit have a Gradient option; and the "Newton" method has a method option Hessian. ...

SiegelTheta is now available as the newly added built-in Mathematica kernel function SiegelTheta.

Important for elliptical shapes and periodic potentials, Mathematica achieves a new level of implementation for Mathieu-related functions, supporting arbitrary-precision ...

Mathematica's breadth of functionality in handling documents, computation, and graphics gives it a rich collection of menu items—all carefully designed to be as familiar as ...

Introduced soon after ordinary hypergeometric functions, the q functions have long been studied as theoretical generalizations of hypergeometric and other functions. ...