residuum

English

Pronunciation

• IPA: /ɹɛˈzɪ.dju.ʌm̩̩/

Noun

residuum (plural residua)

1. The solid material remaining after the liquid in which it was dissolved has been evaporated; a residue.
2. (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 $x \rightarrow y = \begin{cases} y, & \text{if } x > y \\ 1, & \text{if } x \leqslant y .\end{cases}$

See also

• (fuzzy logic): relative pseudo-complement

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Latin

Adjective

residuum

1. nominative neuter singular of residuus
2. accusative masculine singular of residuus
3. accusative neuter singular of residuus
4. vocative neuter singular of residuus