underbound

present singular third person underbounds · participle present underbounding · participle past underbounded · past underbounded

1. mathematicsTo provide a lower bound to.

   It will be seen that our computation time underbounds his; and that, in fact, we can give a group for which the difference in computation time is arbitrarily large.

   1968, Philip Martin Spira, On the Computational Complexity of Finite Functions, page 28

2. To specify or use boundaries that are too small; to have boundaries that do not encompass the entirety of an entity.

   The corporate limits of a city, therefore, offer a political definition that commonly underbounds the geographic extent of the urban area.

   1978, A.I.D.C. Journal - Volumes 13-15, page 25

   2 more examples

   The Urbanized Area is often considered the best measure of urban size because it neither "underbounds" the city (by taking just the political city) or "overbounds" it (including peripheral, largely rural areas).

   1975, James W. Clay, Douglas Milton Orr, Alfred Wright Stuart, North Carolina Atlas: Portrait of a Changing Southern State, page 58

   When polity underbounds (that is, addresses a subspace within) the space affected by regional policy, the appraisal of development proposals is partial and vital interests go unrepresented.

   1994, Environment and Planning: Government & policy

   Antonyms: overbound

1. participlepastpast participle of underbind