residuum

noun

Etymology: From Latin residuum. Doublet of residue.

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, where * denotes the t-norm function and sup denotes the supremum.

   “The residuum of the minimum t-norm is a function #92;rightarrow such that x#92;rightarrowy#61;#92;begin#123;cases#125;y,amp;#92;text#123;if#125;xgt;y#92;#92;1,amp;#92;text#123;if#125;x#92;leqslanty.#92;end#123;cases#125;”

4. The residue of an estate.