CellularAutomaton[rule, init, t] generates a list representing the evolution of the cellular automaton with the specified rule from initial condition init for t steps. ...

Mathematica automatically uses sophisticated algorithms to track the precision of approximate numbers. Particularly for some verification applications, however, it is ...

EllipticLog[{x, y}, {a, b}] gives the generalized logarithm associated with the elliptic curve y^2 = x^3 + a x^2 + b x.

Mathematica has over 3000 built-in functions and other objects, all based on a single unified framework, and all carefully designed to work together, both in simple ...

When Mathematica reads the text x^y, it interprets it as x raised to the power y. In a notebook, you can also give the two-dimensional input x^y directly. Mathematica again ...

RiemannR[x] gives the Riemann prime counting function R(x).

Solve[expr, vars] attempts to solve the system expr of equations or inequalities for the variables vars. Solve[expr, vars, dom] solves over the domain dom. Common choices of ...

NevilleThetaC[z, m] gives the Neville theta function \[CurlyTheta]_c (z \[VerticalSeparator] m).

Making lists from functions. This makes a list of 5 elements, each of the form p[i]. Here is another way to produce the same list.

ModularLambda[\[Tau]] gives the modular lambda elliptic function \[Lambda](\[Tau]).