## RESIDUUM

### 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 1 × 2 to 3 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. The residue of an estate

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