A countably infinite set of possible strings end in infinite repetitions, which means the corresponding real number is rational.

It means the attainment of something positive and emphatic in the way of a conclusion, based on amply repeated experiments capable of infinite repetition, "proved," as they say, "up to the hilt."

I snatched up my sword but within seconds I was hopelessly outmatched, and with a horrible sense of infinite repetition, stood struggling, helplessly pinioned between the guards.

A less trivial example, found by Matthew Cook, is any input pattern consisting of infinite repetitions of the pattern '00001000111000', with repetitions optionally being separated by six ones.

And so, today, he floated here, watching the programme he had made for his daughter, Mileja, on how the universe began -the story of the snake that swallowed its tail - a story of infinite repetition, infinite regression.

More subtle, but no less effective, Elena del Rivero's 50-unit "Letter to the Mother" accumulates its force through variously shaped rows of the letters "n" and "o" struck in infinite repetitions of typewriter keys.

In certain schizophrenics, the process by which the motor apparatus becomes independent leads to infinite repetition of gestures or words, following the decay of the ego".

Trisection can be achieved by infinite repetition of the compass and straightedge method for bisecting an angle.

The final hub-authority scores of nodes are determined after infinite repetitions of the algorithm.

Yvonne Frindle commented, "the infinite repetition of pattern in nature [is] conveyed through rhythmic cells, its immensity through sustained pure harmonies."