trichotomy

Definitions

  • WordNet 3.6
    • n trichotomy being threefold; a classification into three parts or subclasses
    • ***
Webster's Revised Unabridged Dictionary
    • n Trichotomy Division into three parts.
    • ***
Century Dictionary and Cyclopedia
    • n trichotomy Division into three parts; specifically, in theot., division of human nature into body (soma), soul (psyche), and spirit (pneuma).
    • ***
Chambers's Twentieth Century Dictionary
    • n Trichotomy division into three parts
    • ***

Etymology

Webster's Revised Unabridged Dictionary
Gr. tri`cha threefold, in three parts + te`mnein to cut or divide: cf. F. trichotomie,
Chambers's Twentieth Century Dictionary
Gr. tricha, threefold, treis, three; tomē, a cutting—temnein, to cut.

Usage


In science:

Starchenko. A trichotomy theorem for o-minimal structures.
O-minimal spectrum
The Trichotomy Theorem, , tells us that in this case the definable closure is trivial and every point in M is trivial.
Interpretable groups are definable
The heavy-traffic trichotomy provides valuable insight in the impact of the back-off algorithms on the delay performance in wireless random-access networks.
Queues with random back-offs
The heavy-traffic asymptotics exhibit a sharp trichotomy.
Queues with random back-offs
These results were employed to derive heavy-traffic limit theorems in Section 5, which showed the existence of a clear trichotomy, that can be best explained through the function ψ(·).
Queues with random back-offs
***