residuum

English

Etymology

From Latin residuum.

Pronunciation

• IPA(key): /ɹɛˈzɪ.dju.ʌm/

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: ${\displaystyle x\rightarrow y=\sup\{z|z*x\leqslant y\}}$, 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

Latin

residuum

References

• du Cange, Charles (1883), “residuum”, in G. A. Louis Henschel, Pierre Carpentier, Léopold Favre, editors, Glossarium Mediæ et Infimæ Latinitatis (in Latin), Niort: L. Favre