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Hausdorff gap

noun

Etymology

Named after German mathematician Felix Hausdorff (1868–1942), who published proof of the first example in 1909.

Definitions

  1. A pair of collections of integer sequences such that there is no integer sequence lying…

    A pair of collections of integer sequences such that there is no integer sequence lying between the two.

    • The existence of Hausdorff gaps shows that the partially ordered set of possible growth rates of sequences is not complete.^([Wikipedia])
    • Let #92;langle#92;langlea#95;#92;epsilon#58;#92;epsilonlt;#92;omega#95;1#92;rangle#92;langleb#95;#92;epsilon#58;#92;epsilonlt;#92;omega#95;1#92;rangle#92;rangle be a Hausdorff gap.

The neighborhood

Vish — recursive loop

No curated loop yet for Hausdorff gap. Loops are being traced one word at a time while the ingestion pipeline matures.

sense glosses and etymology drawn from English Wiktionary · source · CC-BY-SA