This is an example of a probabilistic nondeterministic algorithm, because it will not always return the same result given a particular input.

The question is simply whether the given program will ever halt on a particular input.

A learning algorithm has high variance for a particular input if it predicts different output values when trained on different training sets.

Nowadays music can be generated automatically, with a mathematical model, for example, that calculates the probability that certain notes might follow a particular input.

Stated another way, the instance is a particular input to the problem, and the solution is the output corresponding to the given input.

In mathematics, the limit of a function is a fundamental concept in calculus and analysis concerning the behavior of that function near a particular input.

Finnish cellphone giant Nokia has had no particular input into the film.

(A circuit diagram would display the inputs according to their sign with respect to the output when a particular input is greater than the other.)

There's also the slightly annoying particular USB inputs, which seems to be its own; you have to use its charger to charge it.

Strictly speaking, a "well-defined" function associates one, and only one, output to any particular input.