trajmaumce

valsi

trajmaumce

type

fu'ivla

creator

krtisfranks

time entered

Thu Apr 7 01:18:12 2016  

English

Definition #68576 - Preferred

 

definition

x₁ (li) is an extremal bound (supremum/infimum/possibly-unattained extremum (loose sense in English)/asymptote (one sense)/best possible bound (one sense)) on set x₂ (set) in direction x₃ (li) in ordered structure x₄; x₁ bounds x₂ tightly/maximally-strongly from the x₃ side in x₄; x₂ is bounded from the x₃ side by x₁ and any other bound on that side is worse than is x₁.

notes

x₁ need not be finite. Many of the notes to zmaumce apply to this word, with minor appropriate edits. praperi modifying this word means that x₂ does not contain x₁. If x₁ does indeed belong to x₂, then x₁ is an attained extremum (maximum, minimum, vel sim.) of x₂. The possible values of x₁, and its existence at all, depends delicately on x₄. This word allows for easy vagueness about which extremal bound is to be used. See also: mecraizmana'u (partial near-synonym), zmaraimecna'u (partial near-synonym).

gloss words

• asymptote ; of a set
• best possible bound ; of a set
• extremal bound ; possibly-unattained extremum
• infimum
• supremum

created by

krtisfranks

vote information

1

time

Thu Apr 7 01:22:23 2016

Examples

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