In practice, however, the coordinates of image points cannot be measured with arbitrary accuracy.
In classical physics this does not make sense, since any number of properties can be measured simultaneously with arbitrary accuracy.
The clocks can remain synchronized to an arbitrary accuracy by moving them sufficiently slowly.
These can be obtained to within arbitrary accuracy using computer algebra from the generalized Lambert W function (see eq.
By observing enough output bits and measuring the frequency of ones, it is possible to estimate to arbitrary accuracy.
Algorithms are even known, which can reach an arbitrary accuracy in an a priori computable amount of time.
In principle, progressively narrower cylinders can be used to find the centroid to arbitrary accuracy.
In doing so, we find the momentum of the particle to arbitrary accuracy by conservation of momentum.
Once a frequency response has been measured (e.g., as an impulse response), provided the system is linear and time-invariant, its characteristic can be approximated with arbitrary accuracy by a digital filter.
An alternate method is computing lower and upper bounds with the trapezoidal rule; a mesh of progressively finer sizes allows for arbitrary accuracy.