residuum

From Latin residuum.

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

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: ${\displaystyle x\rightarrow y=\sup\{z|z*x\leqslant y\}}$, where ${\displaystyle *}$ denotes the t-norm function and ${\displaystyle \sup }$ denotes the supremum.

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

4. (law) The residue of an estate.

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

• (fuzzy logic): relative pseudo-complement

residuum

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

• 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)