residuum

English

Etymology

From Latin residuum.

Pronunciation

• IPA^(key): /ɹɛˈzɪ.dju.ʌm/, /ɹɪ-/, /-ˈzɪ.dʒu-/

Noun

residuum (plural residuums or residua)

1. The residue, remainder or rest of something.
2. (chemistry) The solid material remaining after the liquid in which it was dissolved has been evaporated; a residue.
3. (fuzzy logic) A binary function from [0,1] × [0,1] to [0,1] which is defined in terms of the t-norm as follows: $x\rightarrow y=\sup\{z|z*x\leqslant y\}$, where $*$ denotes the t-norm function and $\sup$ denotes the supremum.

   The residuum of the minimum t-norm is a function $\rightarrow$ such that $x\rightarrow y={\begin{cases}y,&{\text{if }}x>y\\1,&{\text{if }}x\leqslant y.\end{cases}}$

4. (law) The residue of an estate.

Synonyms

• (rest of something): lave, remnant; See also Thesaurus:remainder

See also

• (fuzzy logic): relative pseudo-complement

Latin

Adjective

residuum

1. inflection of residuus:
   1. nominative/accusative/vocative neuter singular
   2. accusative masculine singular

References

• residuum in Charles du Fresne du Cange’s Glossarium Mediæ et Infimæ Latinitatis (augmented edition with additions by D. P. Carpenterius, Adelungius and others, edited by Léopold Favre, 1883–1887)