PrimePi[x] gives the number of primes \[Pi] (x) less than or equal to x.

Mathematica's symbolic character allows a powerful unification of the notion of conditionals in programming and in mathematics.

FindFit[data, expr, pars, vars] finds numerical values of the parameters pars that make expr give a best fit to data as a function of vars. The data can have the form {{x_1, ...

SphericalHankelH1[n, z] gives the spherical Hankel function of the first kind h_n^(1)(z).

MathLink provides a mechanism through which programs can interact with Mathematica. Some typical uses of MathLink. MathLink provides a general interface for external programs ...

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 ...

Integrated into Mathematica is a full range of state-of-the-art local and global optimization techniques, both numeric and symbolic, including constrained nonlinear ...

Relational operators. This tests whether 10 is less than 7. The result is False. Not all of these numbers are unequal, so this gives False.

PolyGamma[z] gives the digamma function \[Psi](z). PolyGamma[n, z] gives the n\[Null]^th derivative of the digamma function \[Psi] (n) (z).

Residue[expr, {z, z_0}] finds the residue of expr at the point z = z_0.