You can map a plane to any surface with arbitrary precision if you have a sufficient number of triangles.
In general, quantum mechanics does not allow us to read out the state of a quantum system with arbitrary precision.
A generalization of this method and extension to arbitrary precision is provided by Fog (2008).
Racket: the built-in exact numbers are of arbitrary precision.
Ruby: the built-in Bignum integer type is of arbitrary precision.
Expansion in a Fourier series will provide an equation of motion to arbitrary precision.
However, the Heisenberg uncertainty principle tells us that it is not possible for all six of these quantities to be known simultaneously with arbitrary precision.
In this statistical interpretation, a particular measurement may be made to arbitrary precision without invalidating the quantum theory.
An arbitrary precision invested everything, an eerie sense of chance beauty.
When the condition number is exactly one, then the algorithm may find an approximation of the solution with an arbitrary precision.