Infinite Words

Some articles on infinite, words, infinite words, word:

Boundedly Generated Group - Free Groups Are Not Boundedly Generated - Gromov Boundary
... of the free group Fn, the boundary (or space of ends) can be identified with the space X of semi-infinite reduced words g1 g2 ··· in the generators and their inverses ... A sequence of semi-infinite words converges to another such word provided that the initial segments agree after a certain stage, so that X is compact (and metrizable) ... The free group acts by left multiplication on the semi-infinite words ...
Omega Language - Formal Definition
... theory, Σ* is the set of all finite words over Σ ... Every finite word has a length, which is, obviously, a natural number ... Given a word w of length n, w can be viewed as a function from the set {0,1...n-1} → Σ ...

Famous quotes containing the words words and/or infinite:

    the only truth is face to face, the poem whose words become your
    mouth
    and dying in black and white we fight for what we love, not are
    Frank O’Hara (1926–1966)

    Vast chain of Being, which from God began,
    Natures aethereal, human, angel, man,
    Beast, bird, fish, insect! what no eye can see,
    No glass can reach; from Infinite to thee,
    From thee to Nothing!—
    Alexander Pope (1688–1744)