Mathematica supports hyperbolic functions everywhere in the complex plane—with careful attention to branch cuts—and provides an extensive web of exact and algebraic ...

Mathematica uses a large number of original algorithms to provide automatic systemwide support for inequalities and inequality constraints. Whereas equations can often be ...

Mathematica applies its strengths in calculus to the intricacies of integral transforms, with a host of original algorithms that probably now reach almost any closed form ...

Mathematica incorporates the latest algorithms for solving industrial-scale linear systems, automatically switching between optimal dense and sparse algorithms—and handling ...

Mathematica's matrix operations handle both numeric and symbolic matrices, automatically accessing large numbers of highly efficient algorithms. Mathematica uses ...

Mathematica can handle numbers of essentially unlimited length, in any base, using state-of-the-art platform-optimized algorithms, including several developed at Wolfram ...

A core activity in exploratory experimental mathematics is recognition of numbers: going backward from a number to find out how it can be generated. Mathematica provides ...

Mathematica allows convenient automated selection of plotting and image regions using a family of specially developed robust algorithms, as well as allowing detailed manual ...

Packed into functions like Solve and Reduce are a wealth of sophisticated algorithms, many created specifically for Mathematica. Routinely handling both dense and sparse ...

Factoring a quadratic polynomial in one variable is straightforward. But Mathematica routinely factors degree-100 polynomials in 3 variables—by making use of a tower of ...