Residuum

Noun

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

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

4. The residue of an estate.