remainder vs residuum

remainder

noun
  • A part or parts remaining after some has/have been removed. 

  • Excess stock items left unsold and subject to reduction in price. 

  • The amount left over after subtracting the divisor as many times as possible from the dividend without producing a negative result. If n (dividend) and d (divisor) are integers, then n can always be expressed in the form n = dq + r, where q (quotient) and r (remainder) are also integers and 0 ≤ r < d. 

  • An estate in expectancy which only comes in its heir's possession after an estate created by the same instrument has been determined 

  • The number left over after a simple subtraction 

adj
  • Remaining. 

verb
  • To mark or declare items left unsold as subject to reduction in price. 

residuum

noun
  • The residue, remainder or rest of something. 

  • The residue of an estate. 

  • The solid material remaining after the liquid in which it was dissolved has been evaporated; a residue. 

  • 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. 

How often have the words remainder and residuum occurred in a corpus of books? (source: Google Ngram Viewer )