Mathematica's extensive base of state-of-the-art algorithms, efficient handling of very long integers, and powerful built-in language make it uniquely suited to both research ...
Log
(Built-in Mathematica Symbol) Log[z] gives the natural logarithm of z (logarithm to base e). Log[b, z] gives the logarithm to base b.
DSolve
(Built-in Mathematica Symbol) DSolve[eqn, y, x] solves a differential equation for the function y, with independent variable x. DSolve[{eqn_1, eqn_2, ...}, {y_1, y_2, ...}, x] solves a list of ...
Linear programming problems are optimization problems where the objective function and constraints are all linear. Mathematica has a collection of algorithms for solving ...
Cos
(Built-in Mathematica Symbol) Cos[z] gives the cosine of z.
Exp
(Built-in Mathematica Symbol) Exp[z] gives the exponential of z.
GammaRegularized[a, z] is the regularized incomplete gamma function Q(a, z).
HarmonicNumber[n] gives the n\[Null]^th harmonic number H_n. HarmonicNumber[n, r] gives the harmonic number H_n^(r) of order r.
LogGamma[z] gives the logarithm of the gamma function log \[CapitalGamma](z).